{"data":[{"name":"Protein-protein interaction","means":[[33.055431581305484,29.705461848657702,25.99839150865959,22.60440898377495,18.404004474224177,22.96292167109917,20.556085429003303,23.30111768702321,24.37477670384201,21.801753326306937,24.947383157727785,27.39298190203001,22.300090966258914,22.427932463162854,25.788971349153886,24.85884260784873,20.4795667197571,22.631571018705714,21.90319978407243,21.85795363189977,23.673408838702255,25.03042662208347,25.46861126577094,23.18430547815852,20.033156449432564,18.90449803432477,16.793151446961723,16.56233975565562,20.19983139277471,22.42735498371474,28.11660550159216,27.725413458852067,32.24687713725864,33.434806547290826,29.38202774496164,25.872771347130154,24.944284663625208,21.259748817413385,18.25039896652792,21.33549989610387,16.728811905307396,20.322414122411768,23.35696416084336,20.58390779692877,19.768702403522443,16.782208159992667,20.530938540988387,22.089752426995627,17.581983799333063,19.97349522544197,24.190592297063084,25.449005907336996,27.47125358492672,22.62997038019214,26.281937342702015,30.3036107890163,27.742859335269763,26.431369744586366,31.256457695369004,32.13479278253104,30.01992971910887,33.224616230263976,33.47837789192605,34.33674093375733,30.553511427202302,28.093954613693743,27.743570918174843,26.961215493755308,26.071878628726964,27.230736603564534,26.67188439769308,30.23245072797005,31.020826663677617,31.131317972247395,30.69157297468723,35.69905451582913,31.998628566410744,35.7557485606682,32.83274743662321,31.385695804388064,29.630445096403232,28.259368561062477,27.828539554826936,24.810028645585433,20.64590418206512,22.463614654585403,24.264522349660542,27.721952687129892,27.679015535757653,33.31925472143146,32.260216647080526,36.48101787188173,34.93613939631917,34.41279962990764,30.851150247295998,33.63721927698819,30.453498576456745,31.20293139456446,29.84654724223875,33.03169501174196,29.668283839221637,29.087037366385225,26.560424028282785,25.338716510335118,23.669028732493214,21.51775911589262,24.219716692250877,21.82342470270512,21.120041176497946,22.42464079723414,20.41031039532341,17.073693141398014,17.99839196416695,13.986285021693083,15.944224402911086,12.841751584441823,14.597466261818731,12.31501597551884,17.731967033777206,19.256362650575298,18.467110453014126,18.12325048512086,14.576124253073466,14.488980149945538,16.163830846579806,12.24817983881208,17.220179176543162,14.361762596980325,15.906269383871841,16.99322502934212,15.991059068898242,19.4032613462504,16.329425944632685,18.434782195779853,12.813346517444822,10.929399444381202,10.326165422958718,6.760390496389269,6.158837464970755,6.437565760426728,6.365121226879411,8.952219779903162,11.447812512487417,10.089708640817747,12.526304535187526,15.423752308595214,13.435412414298195,16.58120319037723,17.693372229083458,20.216270752631942,23.030138388866924,26.595022920937275,30.34050004147749,34.269531993757454,33.05569397058372,30.285976214591866,26.534445398572476,25.243696443680975,23.09427093672773,20.284709265177938,14.98102074124509,16.7169951363249,10.917349077242486,14.765106763591646,11.40619584900835,6.523126189355028,9.174735078968203,9.227466381715288,8.740304946065198,5.009099504635454,7.463301062425469,6.79625675661475,11.509998934428467,15.07668959914367,18.133746515692252,21.703091379998128,22.227104266842648,26.386828303806602,22.654272043096423,23.473606808258864,18.87512802138855,18.654654306207032,19.40539075152969,19.65967141607966,16.18222757545269,17.87296618241985,17.179242016645613,19.24848514932374,14.706878806839715,16.79975211515803,16.748668473173723,15.850319706022523,15.670919147760666,15.214873771047449,17.37092539220308,19.44917035996095,17.19736023800936,20.987407159817426,21.893748568626823,22.39358520955795,26.957508161020996,27.525960928812093,23.99735435615419,25.661344761296327,29.828332378853418,28.178063725026696,25.294158932403796,29.761461293909644,33.2296261928179,29.83932024237752,31.019500955951592,34.77748739280031,34.0344841397729,32.04943475170564,35.28026365307069,33.16070059293378,38.04791821981146,34.51493118087228,33.88029171888178,37.749797384252375,39.52474644557841,43.854453361658756,43.110961370726756,43.78178340230066,40.12202802258678,40.80150002451446,37.24503922424774,39.2790186156824,39.47470251274767,33.459832804483796,33.91303252698042,36.382181109521994,33.2214106842051,29.841781747998134,30.406208184755773,31.507909674669072,28.836111914784023,24.031160451818373,25.47990490427416,26.043061404773855,29.75094477149485,32.19710616628092,33.91944898113653,38.40492395804624,35.16663613547034,31.639984372022152,36.482101146386164,37.2911198964836,32.5931902005276,33.18078508902438,37.23188149091938,36.539869132693134,34.16596472577108,38.4288894462078,40.43412392204107,37.89612335912782,38.491352567202725,41.6335754846796,39.18958381836409,39.86878775271115,36.786355951029115,39.12272185489789,39.968100313718814,34.44622954968168,34.771074639799544,37.06244831070361,35.22599236905849,30.994192728401423,35.413700650253475,36.19657410049582,31.140623051611964,29.91234387398602,34.891312310373245,34.82925021500977,31.199957527155068,28.58086766694432,31.90331292420605,30.108703607373386,33.150402540162574,28.930290154298998,28.098159117623922,26.751523401916195,25.617005172339756,23.786535517220628,24.296748095362737,21.81964551881868,23.85034234106766,19.97767602979616,19.783786673119888,17.320585617117995,22.206237070256964,24.77127817493076,28.551380729938707,28.570519636644626,24.812032635300476,28.404296545091007,31.462699248755143,27.479122576794968,27.842885505796453,32.15132406516269,35.06676055964507,36.11354426089381,37.41865539055688,38.15336549085472],[29.6858347825389,26.317676625008133,22.69733229874068,19.220078639643468,15.278177784054318,20.199981092755596,18.247939505271763,21.45256306344237,22.617129726818938,20.57645609112428,23.995544402180087,26.50876269420831,21.888408148779536,21.8483934457042,25.74425450857429,25.09254963815039,20.94420568589905,23.733881115535947,23.552803391291985,23.89769662876951,26.0864806728798,27.823803994368422,28.33604165685865,26.20215625513904,22.9537462869635,21.332258920286296,19.104975829333984,18.12872440443552,21.444278067332156,23.210749146409096,28.958748711730614,28.302341677441706,32.87066703482634,34.553585534091205,30.60422861804405,27.324192693766822,26.146362681454008,23.18241985189929,20.488450124196085,24.005195998713745,19.6565940902594,23.06036835585326,26.374299748459826,23.855716352691175,23.219732823207334,20.361255083689837,24.15673040754484,25.61291690183506,21.015262156598727,23.526573490082704,27.679873607087675,28.789913499181026,30.815169009808123,25.779105834968597,29.234246609758408,33.40340736372352,30.952285362833102,29.322468239970885,34.0901997789325,35.28467852225853,32.98361163468363,35.91264236835643,35.86039993059877,36.96015629973217,33.312189178033854,30.573467129485056,29.91930339641828,28.703461138654045,27.553959934123245,28.184909732150324,27.57558211384589,31.123532388009906,32.094576602635016,32.7311668029356,32.15185727518175,37.47258186403319,34.01044489101083,37.63397629929794,34.86746855565386,33.72500906529631,31.73118975450438,30.62474163748968,29.735458340891302,26.844803982074396,22.855257965194863,24.29230255290599,26.428804952942624,29.424321574451966,29.583577596987137,34.91883893986148,33.739214109406014,37.92171827945295,36.01965004227665,35.174954563449695,31.29785232028244,33.8492770073621,30.349229345636772,31.25370080219962,29.543824076159307,32.41995324534847,29.718856664130627,28.732337596803266,26.9050520798074,25.169139950360325,24.014626210297735,21.136166068701673,23.709911295749095,21.140648354377394,19.71632388837394,21.238627532300118,18.66454788554768,15.919153740931854,16.496030137791916,12.895938219403343,15.382467689791055,12.545095637765593,15.227629020981865,13.357015590476331,19.245279059703993,20.211682571561276,18.917216941006117,17.95533197823943,13.98553379388105,13.277238667862015,14.326632542000683,10.283073074711933,14.855038932533763,12.557889477798133,14.308272675085767,16.413142261090215,14.862892555245413,18.828951477414062,16.44875835568074,18.780742997747907,12.983103168603998,10.624055425542757,8.487430860644427,5.180332029482743,4.651352547389292,7.150383143865689,8.221933537417803,11.928642819303604,13.845677536334817,11.951417539993404,14.753427840596204,16.80871376397655,14.27591303748154,16.754560381441916,17.38517361063908,19.240742768117318,21.812357283930417,25.20906091833179,29.101539293732216,32.69521238833903,31.903901270126465,29.45366857355778,25.887222336002164,24.586617207183604,23.000124015414702,20.050731751142713,15.385335842589049,17.937968260265215,12.63768247495646,16.92192101726037,13.925499968571845,9.63133845493304,11.389520764129662,11.63421384112413,9.81957904673523,6.110897911001824,8.241637596697418,7.9820243765579235,13.06399435441678,16.48138935935581,19.43681972915119,22.59808802198706,23.061220487619504,27.46646259515075,24.19750572638054,24.830276482877345,20.628171287434174,19.33272216709551,20.63907492032234,21.276426796870076,17.99672506835191,20.45713115131889,19.991978857123755,22.370648654696726,18.14641019376622,19.90627824425208,19.554365586776026,18.32316327011568,17.463963158113113,16.306570341420528,17.90795070527799,19.347384595898166,16.32276188868405,19.875772378592355,20.068231419931738,20.612369236127922,24.948197903433954,25.48275352835679,21.746944334450962,23.091397499021422,27.319954084581745,25.486133386450646,22.206017548229195,26.79309747500357,30.393210536157984,26.688040139636634,27.73565651172756,31.560448234639985,30.824314643338635,28.632526134166397,31.83207280928424,29.731433561731833,34.73871614457832,31.259755090620455,30.77084305940885,34.69681562883431,36.71926154293903,41.00660381298108,40.55035693296165,41.41566559816555,37.91197087365975,38.87958872727543,35.48270645575639,37.76663452942528,37.66070016640836,31.53292824422114,32.422205749964576,34.95103826799212,31.489846181367785,28.264682487527523,29.30575758296902,30.095266313596674,27.024824982980796,22.779527961698992,23.60010406930186,24.780601092168677,28.466187266379002,30.51103778836724,32.50080689316081,36.833880189977634,33.76040853498874,29.968856618530904,34.49399579532969,35.446095696253984,30.66869136995209,30.873941256177154,34.87532295188574,34.11595429131479,31.490793453725665,35.78012995884809,37.74023050295216,35.01263828981285,35.51871027267357,38.74879357289096,36.322822955672045,37.25640893915885,34.38977660519013,36.835436550560516,37.33673588393966,31.71939836271605,32.41678549769738,34.53853925075425,32.4782575731516,28.468124690327695,33.137857426057764,33.590143880006835,28.385967457178857,27.590183795172855,32.623626261342395,32.26074443268645,28.494184367977645,25.565237133704372,29.002832386518325,26.940424765894175,29.872249972753316,25.494617921810175,24.762626091462334,23.2919149800102,22.047360104715764,20.352622791687057,21.05720007571291,18.76894848274317,20.98182975827141,17.04528865665393,17.452477045892138,14.756334561739429,19.416043448046544,22.564423434357156,26.24487782274678,26.515113417162574,22.37974152654816,25.63033793259981,28.88732156797865,25.056941850315322,24.88321769328585,29.18366631178367,32.25448085327371,33.37938487653975,34.74946804412919,35.52794705375937],[26.889268529180836,23.61421315174289,20.483954732423626,16.43576060420348,13.668928348821945,18.664462002986088,17.348053978183803,21.208672317493555,21.984390055778324,20.396644295278758,23.930601833805415,26.764735762105772,22.728096829805985,22.033803524885396,26.497314277472903,26.366470686091887,22.377041816834264,25.544907092958532,25.511166226924868,26.525801212746906,28.802907538959293,31.003981378097595,31.29551714016367,29.211737331118552,26.04839718514616,23.939923653662753,22.016528048249246,20.539587779043956,23.713321931238937,25.29992335740918,30.67462311276811,30.186141787553062,34.69147450552637,36.741154497673705,33.02890893767644,29.832379041772928,28.786585860580768,26.271093408912197,23.895638214817634,27.921747793216152,23.46082899852566,26.445647219485352,30.011840838689142,27.649946325101503,26.868422567029995,24.1568649798478,27.926713401846204,29.535928517122475,25.13190280647479,27.682026135967394,31.878779139388836,33.07029951835996,35.01530392189253,29.91891118442837,33.426987324700306,37.527832160556734,34.93229281170612,33.188841128826645,37.96282066148138,39.184084379221154,36.55729973760745,39.253707340496355,38.940502212703635,39.988079988433874,36.48238715151163,33.652893594731246,32.384056413778836,30.93096817689583,29.215073748843142,29.448000054312843,28.550854452063586,31.89214890124486,33.309220401140706,34.4467143019402,34.07029767504228,39.71114899318217,36.6746491751128,40.31075004588513,37.84253865122106,37.071175697961294,35.12172522632708,34.33225937325611,33.31420400102481,30.615546293490993,26.683373565804718,27.697625531064336,29.784629070416194,32.51620530706064,32.46644521641941,37.55957140290514,36.0350150192584,40.004586373667756,37.791247316559144,36.78081017480058,32.61527802592103,34.78012445719965,30.964301435978506,32.41845042659231,30.51666342653248,33.284119802114674,31.36402472599967,30.317762694289467,29.18286483498238,27.267889964438847,26.834232130915137,23.384727624773618,25.905798867854283,23.312938662763717,21.111815659739218,22.70998467946842,19.417216692205827,17.3445169644964,17.046392755115118,13.982325572844989,16.26162114560367,13.555487583171402,16.769766034825384,14.923953390645249,20.869798175291756,21.641465529008986,19.676507844395925,18.334278922185195,13.872921328551213,13.001366114170757,13.67496359872004,10.491416431620133,14.588499380221199,13.561314915118265,15.671488211958371,18.804928187176646,16.860714216010155,21.20546888852144,19.502825149599396,21.944237540035424,16.23714135468449,13.564603967673277,10.287670533546924,7.73653886018218,6.419658074470249,10.125957057594007,10.673119409665713,15.021010988555453,16.733600265161336,14.910585259262643,18.110231284395443,19.56695608460765,16.721430166984753,18.739151993378353,19.211685487290048,20.131328272173622,22.657460209639183,25.490982024847423,29.70246919668749,32.60453238710455,32.213604961927516,30.306347859221106,26.90499590917535,25.92568902235322,24.758404211547823,22.141075117515786,18.185494406840196,20.98758258058401,16.15666812600959,20.709003462348313,18.161125385439206,13.974657981870955,15.621464363479582,15.581200729757843,13.328265732588623,10.092193351916567,12.100234655868952,11.94341774044118,16.978334870873702,20.164455406367363,22.865206148651925,25.69110368555356,25.80692367601924,30.528853962386187,27.685153605453756,28.336673215077838,24.50675054979778,22.574174073005235,24.354600531726728,25.218324493434313,22.06042205961604,24.73927900847122,24.183671606412343,26.720122882092223,22.40802946012687,24.2256301743893,23.74361798647162,22.55695829708152,21.381402674747456,19.910887365237016,21.114740920300473,21.94691882955994,18.38018236721841,21.577966795970507,20.879212523585952,21.540772803838284,25.40971403300391,25.884282729311188,21.930103239719568,22.70566027996806,26.944821824309454,24.78947627285916,20.803395121130002,25.54764144584825,29.33722464643172,24.97248003751538,25.72033447394891,29.661630242884662,28.849565267269124,26.129630145902986,29.28464809279973,27.267206066138094,32.57033778530712,29.108086578102203,29.07842468803275,33.10975027577251,35.543519524727486,39.77532374413309,39.76007496747935,41.00845251621048,37.802994737824264,39.20514945163222,36.10083963905447,38.647811688797965,38.09227747693873,31.904756695351516,33.38357663880063,35.85222950053642,32.000424023126705,29.095717746989198,30.663438618013863,30.892041714521284,27.382463998307696,24.061587971421073,24.16487425228442,26.225810053688182,29.798164258721915,31.312919271802627,33.62855516467739,37.70028169166229,34.853462093666614,30.801238617824804,34.808390047301955,35.89569264116634,31.051748417780896,30.727020509859205,34.54506517346318,33.615762478752124,30.642345109447515,34.9773043298268,36.77489016095984,33.654428647563265,34.08843843109857,37.48973416561046,35.14535735800177,36.5470513344713,34.082872386307436,36.67028102685181,36.58064956325107,30.866438381527296,32.18142172811846,33.939189959167706,31.506639248007144,27.943658843487736,32.8670489737411,32.68216733025356,27.304759398000574,27.2393268144055,32.17341939727119,31.212895697351208,27.254805289096666,23.833217429235013,27.14893421347153,24.50696286530876,27.437631843577062,22.79523925509155,22.584114259820485,20.822349578847046,19.054741993487234,17.852212183702548,18.812094759606012,17.191730873698873,19.956826355326537,16.178287318454608,17.70013993167995,14.685678634532572,18.622084616458217,22.63699071428918,26.083047582707444,26.57223665144644,21.91421225154041,24.569699633068062,28.001066859740313,24.259476747042296,23.184791158023536,27.53412820224892,30.732765224686016,32.003735336817094,33.48396371973932,34.305571620792406],[22.671776968058793,19.306912677372,15.636566323976552,12.320875878308346,8.062158180016237,13.07011179358874,11.716436946007141,15.371792286934594,16.979311382253552,16.207244930438918,19.973730283725562,22.143730525342942,18.678853476230376,18.900612406437325,23.333289508393282,22.974102191023302,19.765744958229373,23.68379835953001,25.009459911415064,25.64846167818881,28.731190204352,31.020171773722158,32.042807085764224,30.53094718607375,26.927224014479798,24.507056562362024,21.743099148337535,19.380734718420033,21.533997413737975,22.039088727726746,27.844213879138948,26.363062229132478,30.859753182585855,33.50336462638679,29.8371483737029,27.28203693086891,25.46158926314188,24.25383795416683,22.386347781179758,26.62202782365398,23.174509907751645,26.12200538318755,29.9153895496383,28.187256605651005,28.377484242322357,26.049249754304018,30.11649774864423,30.768767622646475,25.90892419966557,29.176968125969754,32.81048183020145,33.475643619162305,35.26429121606364,29.63810371513888,32.50918142310998,36.88536292777113,34.78802588021608,32.290828310225805,36.75647516174491,38.83806342054141,36.17515278396948,38.357825376782614,37.59093016889124,39.47145349818938,36.20673475948613,32.78137242234585,31.91572470362865,29.70069824390438,28.566830505263937,28.023608163329047,27.739694505342094,31.327802903421933,32.14123429152656,33.748834213422846,32.47142725913693,38.15197593997966,35.08341323467172,38.18195223070695,35.7177561271998,35.22675042967496,32.668129006052396,32.208883937997996,30.3489049097358,27.9746358982992,24.522647369194107,24.974962309267955,27.77233036987334,29.587208457812768,30.358632513019636,34.81565968879542,33.628592292779366,37.75149778726863,35.19146032675144,33.621677699386105,29.322876139460753,31.4823364574759,27.597508548104088,28.3267432693279,25.93311533182108,28.00821961356573,26.560011175739394,24.810162146436923,24.388385891552772,21.86505340004409,22.072804689785674,18.043296156693557,20.602641017528022,18.362980270538916,15.601088016079474,16.834453787694738,13.180404421169323,11.563222029161988,11.284466027184958,9.180257786814526,12.739063824822264,11.44394712623985,15.435912629958775,15.283316201021039,21.30129531524747,20.63931645651424,18.96285699847293,16.705503365780096,13.118878408517299,10.657288423661079,9.608798139092702,5.472144461692078,8.264691219961048,7.596951281996097,10.107241926479555,14.009567653752983,12.796595725101984,17.38713361573784,16.74986267929305,18.296619862408477,13.332057230715343,9.889482786820516,6.977194124160025,5.388689116929077,5.952149401015424,9.40675695019381,12.948869335345048,17.223135338599818,17.48189098370577,14.578800912272161,17.314616103660423,17.449937118328183,14.292914006474657,14.912967385656676,14.388611555139773,14.798169729873194,16.691445109328935,19.68298726796309,23.652239223063862,26.711881477491595,26.601056996564992,24.687718913208357,21.62087026940941,20.306111830409684,19.891928590814988,16.95524406488184,14.15813243024929,17.915113835793143,14.437595169427125,18.935234212117933,17.33143272699712,14.813524440214241,15.824278704727037,17.386813242898175,14.575884291389338,11.25980277421303,11.480701781859478,10.68679361376821,14.873459255359734,17.298692204755625,19.53248862598538,21.588986473332564,21.76074360096746,26.44652203885926,24.374974928933707,24.75642409611414,21.844608273265447,18.589674901722308,21.435922711747082,23.118648485028427,20.28642233854151,23.640273581258413,23.317295165216834,26.665641050896006,23.534731391884335,24.951629194084894,24.65043796680037,22.455151422136012,21.14488011243677,18.985119398245214,19.57670450654783,20.198291832389426,15.901155184941091,18.336697695122627,17.22817715250564,16.767421371128776,20.808838655199988,20.493966626681054,16.44066370944106,18.07038946401865,21.96667819164285,19.329511363053843,16.250891934884805,21.069264069201648,24.125174569897162,19.987403823609693,21.380373445691575,25.120059866662228,23.917408010411176,21.90000170307803,25.498270628987292,23.802119370144773,28.68163548598566,26.364843210330466,25.54273465513582,29.2753237287965,31.966469402404872,35.82637507573538,36.179444444293274,36.91971657342219,33.62539774437557,34.86324566530405,31.465424411390924,34.51728878363436,34.29303993585233,27.968401319686564,29.42980369158753,32.62780209190339,28.992614084844732,25.848790747596887,27.820415105560834,28.79211870045857,25.126005457607032,21.666102048127534,20.77355272974513,22.053363232425166,25.57001036537063,26.542920801528897,28.477487751682382,32.31423018022738,29.195353224022732,25.3323301755478,29.24667288719545,29.965099609432542,25.042570496271907,25.012492462007522,28.65836685549092,27.59374789492006,24.900180599790534,29.435570209857147,31.07949805243465,28.060854864003744,28.889297307987533,32.31845456793199,30.198080067332413,31.47799412223946,28.89014838660873,31.85512368041324,32.01738377702094,26.252753035235592,27.724609717910273,30.00334650096012,27.670104315788066,24.17983309238607,29.54529134475236,29.852338740264877,24.48862766640522,24.568376995849636,29.871768384600706,29.36167564104238,25.48901322141136,21.948766548841956,26.22301933016978,23.783609116072167,25.729579364020033,20.888527853588585,19.498598759773966,17.1606826122028,16.872687930691665,15.648037211396009,17.500899305696148,15.362205162115202,16.773878734428763,11.812818059093818,12.947822992282509,8.932723536778813,12.830351448527567,16.473250165265245,19.995250522171187,20.22504158026883,15.641347342889205,18.673050584452405,21.90431902954166,18.111043258741336,17.605431609353634,21.963144000940787,25.029599702079334,26.232155494598697,27.7157494992502,28.638785994976555],[18.64337941250064,15.52047183615626,13.050828329399444,8.218985167123547,7.448238169352623,11.518186335143913,11.533686733725432,16.046265450548287,16.66352395761988,16.67746658060917,20.32978607580828,22.951754685605156,20.5593468043796,19.68548035384986,24.711380224947852,25.157134070825624,22.27354520767475,26.431579722699503,27.798818337436206,29.297166393676708,32.34567616754781,35.18791551363872,35.87225251711635,34.388943063865455,30.976681786639457,28.046047385742238,25.78739542724166,23.020342523801457,25.022147997943986,25.415683608863382,30.39411371761671,29.340119869011403,33.59062955524017,36.61274747929877,33.37699887051403,30.92311845849387,29.477514556612412,28.691522018245237,27.20333426895599,32.003822436013834,28.262313544094432,30.650830488216567,34.70053802786418,33.12022791799981,33.04891294328086,30.883215223638373,34.937647529892146,35.82209933636892,31.249948791526094,34.58232971109534,38.31992479951828,39.16418877140137,40.812429701676066,35.15157364644282,38.190253691707724,42.37452613079076,40.008202116101124,37.44754777296919,41.9269385548115,43.953480388729176,40.854216880953906,42.737534239840976,41.665775411576256,43.38374382075214,40.329601813628635,36.87396445273771,35.18083977574876,32.75342246031233,30.871795093557164,29.838796674754292,29.15353815699512,32.3468678638162,33.760255921209264,35.99250281519124,35.06604131815986,41.0745680537527,38.6451964560875,41.76123382977929,39.75542213885055,39.75625786813609,37.393148828681284,37.355630763516565,35.52322646402842,33.46079469512226,30.01447947126444,29.970592739771444,32.47680056243816,34.04005774471582,34.370566501530796,38.477457945990295,36.78878732621503,40.514428867340186,37.59734408678815,35.87954925906597,31.297637368901057,32.82274226801265,28.60141530837033,30.201867060427524,27.67960917600561,29.630515176175646,29.355635491438633,27.78675765984908,28.260703695219874,25.83652993563266,27.03676644076891,22.62963442688275,25.098952360971786,23.059359260348405,19.55547377966401,20.629314767562068,16.257984346484136,15.655075927829493,13.88546188731382,12.847148106830714,15.241591218789077,14.192021857239418,18.292842440935,18.05254990151535,23.77363540381342,22.966136391982886,20.50579887385766,17.92479683942854,14.090155434871141,11.732805295235833,10.192818535406678,8.985063432413328,10.299517533846274,12.052803786244962,14.663725347048684,19.21245171856262,17.798003404681438,22.422212386100913,22.36181089504727,23.948737043677017,19.235707721388362,15.822054808133931,12.510141121463304,11.309543673979597,10.505795898689097,14.281594879969372,16.551492545593383,21.27512290151484,21.4979383745449,18.952573930368192,22.09147202781319,21.77044035209322,18.52022865238051,18.767911277893717,18.322906770184467,17.35255493681702,19.175695562310175,20.91514348949554,25.280679253478006,27.018466114314595,27.475599193155976,26.519348747365925,23.797076127746823,23.189693857711998,23.24282712704693,21.18676591293201,19.29947676429165,22.799775519067907,19.74495708677598,24.4051809180614,23.185347489283565,20.350572000083968,21.663274321526377,22.71891820200048,19.826633250168243,16.65231971127217,17.35537770714706,16.62618750638433,20.846779898629073,23.0796958051458,24.958216444671486,26.67069576020251,26.263132893765583,31.251448634609883,29.673500163265008,30.203902440447422,27.689896947993233,24.143295111254147,27.34948538201219,29.139798935915945,26.356265739817037,29.625815985556372,29.040298606408093,32.49892093096086,29.05246876624853,30.72940134825764,30.38934474504749,28.39466964110443,26.964016700671475,24.730388111946443,25.1067216968454,25.215750209057358,20.649746092151307,22.607005486611985,20.504349677516167,20.148422081388063,23.286920802733928,22.762433485657432,18.641693629164756,19.409306465310706,23.01303907377184,19.80437448519906,15.847201866077578,20.73269630757939,23.786067884261705,18.512767364980668,19.480023066276523,23.29790151678264,21.746903735271612,18.842092791390748,22.531823247914442,21.188167091194465,26.476247462453525,24.57750587047373,24.45369363330373,28.212887743929777,31.632821652968843,35.237190334146796,36.39789622603954,37.634572135202994,34.8466971851203,36.67319460522628,33.732616015553454,37.13668027054019,36.331768298236035,30.09321017789002,32.31392451684409,35.39718066237169,31.359551727039715,28.733430763780536,31.316194450622984,31.579577879020583,27.454964172015753,25.290599161950325,23.518057307244625,25.80570843632977,29.03227105591194,29.21098382631437,31.452799856477558,34.77081240550727,31.98237948607083,27.95521812655184,30.946865002152975,31.72964195014223,26.856590926477615,26.08875077411577,29.222198212597,27.81434070755697,24.70483114144633,29.281146000221522,30.50826823616844,26.806950620864328,27.68524864752094,31.395251258244496,29.55265807462579,31.600180195059824,29.724132563479937,32.91940753656349,32.17616974380603,26.39374542488423,28.87095505551344,30.59428121318226,27.734616521250782,25.11945952161544,30.752873542840955,30.124297470565665,24.65975776977319,25.895146816958963,30.907236401338913,29.558610312348346,25.521756384874426,21.28107555902829,25.34045116293827,22.009206692909554,23.662882816189864,18.376030475782137,17.773681997039855,14.604986698652452,13.693167495302545,13.726725581554673,16.26770515115251,15.411900773808263,17.405540575151807,12.996611130488747,15.759524175528668,11.697259814991275,13.519289443100716,18.24112312645068,21.137167910780455,21.504048986939566,16.356983150080215,18.19914751447462,21.45293722014294,17.80020862998466,15.698058478446182,20.135318062390624,23.243749520992807,24.646989777884908,26.31456726808058,27.29451668304175],[22.872972733475464,20.08938115681297,17.730596436061308,12.893003795940599,11.065242349054486,12.927683794412102,10.668043833208928,14.508334883164885,14.027512193971612,12.24540593075768,15.7013258760737,18.878035721125,15.487547225621004,14.11043867586637,19.030513429678592,19.519829731749493,16.143291191546457,20.046345804884485,21.19725688661038,22.969766285096703,25.97460321170335,29.0898340729473,29.692773570132047,28.42750618432653,25.037669825702263,21.785315291915534,19.72836340898938,16.784618836442046,18.934051330734995,19.84058112468787,24.425056266415304,24.111281988383436,28.354547334039147,30.98298047031604,27.823650224937904,25.039680137892613,24.22859884593832,23.049875942268212,21.78625576708349,27.184896466776223,23.123776378272623,24.85335894727776,29.099270242521886,27.858702825906327,27.900356767361863,26.2987202116859,30.467052445865733,30.98404281360877,26.79652387511541,30.771923367411294,34.172091070905,35.161989280065114,36.3318341290792,30.537298825771536,33.82105243798092,37.57252329973026,34.8547697953975,32.20606180073738,36.69681716774072,38.60004101732685,35.06251477586633,36.72631869486413,35.55051852704911,37.079027988235325,34.14392778773659,30.713562071096963,28.66304793388403,26.271361715092805,24.224552843459424,23.33476558786115,22.587496032025445,25.862559921354933,27.24471194172034,29.357451894472735,28.609228379326026,34.65465634490685,32.37525322678271,35.673171218987584,33.85674490490962,34.06377371206099,32.11812542417135,32.382086681980006,31.096584747049192,29.376070497946955,25.647985850826476,25.155586628856305,27.021019327479312,28.812845369611487,28.46217339327184,32.705080222354816,30.702514001237986,34.31261276513477,31.533990165905884,30.136539743098936,25.64427108511245,27.306698919555796,23.21332000236407,25.219939123114504,23.24651716134919,26.209237224343866,25.167621850812957,24.819993926224743,24.475849971281463,23.337600653369954,24.86167590949984,21.207633699946502,24.672087853515283,23.32798185852681,20.57955344703369,20.63895076443539,16.53991152063809,14.026356542594582,11.484716739791743,8.981505606468724,9.664071165392967,7.941267090815111,11.841879797194052,11.704770776987246,17.21849903784817,16.347235549266347,13.855634955567917,11.435648771267617,7.458093024523455,5.372566782015121,5.678171029107195,5.847662652051635,10.583212697940343,11.58014304939649,15.086856623458736,18.66831709923779,18.856252818154474,23.280311006923693,22.46642248085666,23.131203562020964,18.509303108316974,14.343931657353611,13.290910727064652,9.650595948030066,7.044186510286098,9.853552295985574,11.778653672460708,16.395984499577043,15.80221679355656,13.436328493692711,16.746424429331856,16.163948595406346,13.024078643161657,13.837671038499067,14.545603811437443,13.976163156153538,17.2362214058181,18.78451088877233,23.639233908216497,25.624104492043152,24.987577329951158,23.70293884663762,20.308876535034234,20.41912143354131,19.260970652665502,18.343708904563975,15.778999815990831,18.114103476512085,15.22422593585796,19.972018672240747,19.7814304714032,17.285370060845,19.85081157681987,21.35943384668686,19.525099480778287,15.602508619533669,16.28936153886173,14.083614000972359,17.959261533980058,19.871231639737093,21.263747348199665,23.26267553663693,22.00609816996648,27.434556741214916,25.733015694398212,26.93737977217308,24.56647061302969,21.87704834650482,25.545705677490282,27.441361458470222,24.2512514078949,26.415991719592867,24.94684286096702,28.907320564993594,25.50136578783475,27.944145563278248,28.375975417878376,26.40913761718178,26.030674918541575,24.40898308809011,25.45470061607074,26.55349195728867,22.442099768691172,24.85930921668272,23.744427730960716,22.71607654402599,26.720736638341442,25.669621974557653,21.599383192282883,23.65572353912048,27.117434643554073,23.686198556920804,20.92967458879384,25.818290090273383,28.16364365093828,23.292924923777765,24.931637221700335,28.532208700997035,26.42152588856756,24.157620564186598,28.289718766298822,27.23128592634802,32.227082062791666,30.843223882834753,30.273069761766763,33.865612813175794,37.181090252890066,40.655302240282275,41.694396102743696,42.4373934955404,39.32763303600352,40.65314238566368,37.17921283692083,40.584358305999984,40.43745196782436,34.099984167955206,35.65008612201367,39.11853466049672,35.49858787253043,32.37498188284465,34.443285036475444,35.511335929302064,31.760762307722114,28.402676485487206,27.280176905713525,28.216040038047424,31.674005367208874,32.25620790401857,33.78419796217781,37.27689475679706,33.768595046634196,30.325754049023686,33.907082153513855,33.97770321090021,28.97961569802025,29.263183780823475,32.254846221341104,30.611389339706452,28.22900435435268,33.11955237917333,34.094431623960766,30.501735321654987,32.122510891660454,35.84947517958251,34.2487366797601,35.95036862530958,33.65810134076724,37.062944589718136,36.9586431826413,31.1778864547374,33.25972318160108,35.57298108053271,33.01564840405734,30.00950897806784,35.631502798070684,35.659874041512275,30.241541482139596,30.863260219131917,36.122707431086496,35.27962846108205,31.309972890387527,27.34207714903998,31.52035285600858,28.438922923307988,30.169362279810706,24.926317140057993,23.92594986836671,20.592411678092017,20.25471497350742,20.093748662652054,22.490198163329964,21.071415262174998,22.646005212065894,17.535672476016217,18.99748886335492,14.254081551815469,16.913503471969356,20.234748601149054,23.588795011197288,22.753668998170287,18.184701316213665,21.339809596837004,23.750010412697893,18.910452194387684,18.619672173685824,23.443277006865266,25.79643026654807,26.918671802778853,28.483309016117087,29.34693791586601],[20.446450806868082,18.099941499512042,16.517335536269094,11.528904932268151,11.111019623943873,10.644777974724752,8.452080472224118,12.278797554170833,10.796078430442739,9.59488428328974,12.895811062282748,16.207444582704795,13.93372369950626,12.024241320012306,17.232367777318576,18.26926749370343,15.711530415063038,19.959792181712015,21.826100110205516,23.97607703213627,27.25165474982816,30.726756457746717,31.444828381604196,30.569300009555466,27.199761439501437,23.551312194145147,21.554272055953888,18.039688027643415,19.37617409135072,19.654872749354748,23.53658564335491,23.210395356650537,27.142724013800475,30.218318316005277,27.50220559975597,25.146265393147395,24.387595743951852,24.155973773952056,23.516835710374977,29.281745443039693,25.597485421473028,26.763765885646173,31.175047545452454,30.426239887428434,30.77680516031284,29.574119304765393,33.78183455463783,33.933343926414835,29.881790776293904,34.21774832361529,37.31600325320141,38.19783656240729,39.09823894427974,33.1291946195517,36.20845914308721,39.813800663238,37.13627054475147,34.13008663545656,38.39150063800535,40.61005387351311,36.745744494066585,37.87585018928501,36.26020649861367,38.036728123509064,35.45167027007203,31.78699465534737,29.363636543959505,26.48741464340291,24.261982957949932,22.60615371390333,21.940313543216345,24.984504204997684,26.400247114602635,29.162300234844892,28.21679382078378,34.3939708979957,32.63468198930338,35.63493247605038,34.226015330389,34.962369633774244,32.990336984217,33.7684092648306,32.254127063362034,31.00424903793239,27.561138976516116,26.391920124682777,28.19962290861244,29.35021270067201,28.956247626711978,32.53751114998148,30.31608271409934,33.61757496201252,30.47009699224875,28.758542603290692,24.085570479587094,25.24922651096826,20.949234900134016,23.32784768113878,21.18568002431617,23.952811580381866,23.867462562746642,23.699723837741516,24.157840641134094,23.22049545707945,25.78465712974442,21.96853201719491,25.553419815101652,24.735441762177405,21.63132503022317,21.09998856207202,16.681128356253684,14.651790867378525,10.950044969546962,9.833930652867366,9.538075445253536,9.24543486936098,12.9021459991464,13.74793086442849,18.43057392254117,16.64383455337058,13.924784639171017,10.869701770449227,8.114523075290613,5.5259229202824445,4.237432145070853,7.659731335635753,10.598862948472958,12.99662489323713,16.629204045807647,20.422943023665553,21.169117585423976,25.50026436852321,25.25417653481602,25.369606828028388,21.36026367794992,17.030419701789587,16.354989620066934,13.2242148480297,11.016248236047627,13.251861189875356,15.380216990582271,19.766653101795665,18.465374136126425,16.078878883803423,19.12968177797892,17.579769184970182,14.560699572009886,14.348279781581178,14.825034186314351,12.985651977107722,16.164546043701066,16.592428595302707,21.694703372844238,22.76980853179804,22.309209278188774,21.698786717202477,18.623214283904897,19.38632941866228,18.653949061942676,18.65449918896684,17.306237543438556,19.487811152626804,17.77658175089523,22.284316046464724,22.902543398186975,21.014053248515374,23.55485640305656,25.387495922596443,23.488231846839458,19.605608753324,19.941872027300935,17.515578865290784,20.80722297568549,22.13262421651992,22.91898428431819,24.30706139423551,22.502339288444677,28.047021164225058,27.076940133929195,28.37588157079394,26.779873387924464,23.623261529401923,27.94324515307787,30.213627898854167,27.176918491803512,29.305555596430324,27.663065410926155,32.01827239305207,29.01407231902937,31.502761323981467,32.10174926859672,29.892470677077903,29.584607584867204,27.809847170399642,28.63621606766926,29.589655076711026,25.258233184360204,27.204124355690638,25.704915351978187,24.12519694536845,27.827878925558196,26.168087484919234,22.191966263776948,24.472168780342802,27.435939274282,23.477417090540794,21.213047768088508,25.943335361609055,27.587265103249038,22.455968092424712,24.35144194358128,27.675459198468445,24.975763740205952,22.865641973308467,27.310910806046618,26.783784196571368,31.54766891311394,31.176979581884645,30.505728351295502,33.822941051874444,37.576255519470614,40.62691845529738,42.24809306565815,42.88033757585244,39.96740593676886,41.38301675488773,37.92733831191584,41.71439333051819,41.58411464994147,35.29912917766509,37.04152196610695,40.82500998715394,37.24200175356575,34.20512042412314,36.59456751374309,37.79269655250423,33.89424041186796,30.88476546969042,29.114999401421716,29.876287010046113,33.1409539895357,33.13996629257518,34.42447424396053,37.48811270246005,33.88090128408436,30.69298297974748,33.780379412467504,33.460384033204406,28.522706349117502,28.853182693891146,31.300674317505642,29.304583373459334,27.14041600222388,32.15877224951582,32.66295246191797,28.78710604711803,30.910415621163096,34.758827325333876,33.56950285840055,35.527843487601736,33.51457242043333,37.243649394792456,36.93292485354255,31.245641083335144,33.80820010931578,36.18218022120304,33.52023088192215,30.98492240037623,36.824501414054986,36.75327526344761,31.41425798127002,32.51104486141936,37.74805322399432,36.80923918212566,32.88273426823951,28.687691784042986,33.074617289000436,29.77302834981742,30.90982791182283,25.538442823409156,24.35499143285718,20.398783395598556,20.642799755374565,21.081460532125703,24.006019281555034,22.904722466255176,24.050169709194147,18.805692699933584,20.471891104950434,15.421376325691766,16.886470250166035,19.946988531653805,22.94495116173855,21.61930668561095,17.154218079464343,20.07653718406862,21.911424371045754,16.779269604577323,16.510498874094505,21.372037413976397,23.24576277764122,24.323430868141543,25.9514624327993,26.859809373800644],[23.155513748427794,21.268180907742085,20.432678659036743,15.152332897453567,15.644716392310258,14.483462100924019,12.264503252790034,15.44094214748391,12.632188511497917,10.521498215657832,12.817732746361743,16.833029998723063,14.680282419061763,11.299744246348839,16.42016933062794,18.149266138957426,15.490222161116664,19.161605551897715,20.459552229833555,23.418648085553215,26.315521881209396,30.204109092136687,30.47054825790086,29.67826805367521,26.665816265036735,22.691352455879233,21.46223712068695,18.016651810832894,19.467634727984237,20.275693570112804,22.94807615979065,23.740939295835734,27.32989582501207,30.113419839662164,27.808191103365598,25.228242267882276,25.341988221660422,24.800358395464148,24.42289552231138,30.555345777276134,26.457650296249177,26.876174697833136,31.35836929852788,30.795212007469782,30.870503622888545,30.064131785813554,34.15503096006059,34.38814502244538,30.900419766798535,35.379765602662346,38.39065915001213,39.526020776142985,40.10745367586029,34.267313780752936,37.63758315330123,40.77759051880249,37.69175789316878,34.82316119452825,39.08030460579874,40.96824488527838,36.66517544168337,37.56099055591437,35.82338828221732,37.140566569912224,34.77547823561739,31.33553472003335,28.081972437740923,25.35446915079889,22.366102174039135,20.66593265084139,19.45815601469943,22.046033536285425,24.079067403724476,27.07122736649343,26.784345514648127,33.056760522032995,31.90112377043197,35.096544158089806,34.14105377430557,35.22430389107323,33.814455088327534,34.90471719310682,33.94429570475073,32.98140040135974,29.368520086394348,27.8889715764695,28.9410337173588,30.271190484821858,28.997796356011904,32.49695895169842,29.705906795226152,32.51875340538453,29.386818965007613,28.009482251615182,23.408723761340273,24.13985628038194,19.8813678594978,23.35938172812687,21.8012554806759,25.24085937738664,25.216343417016045,26.07651187611805,26.29201953287056,26.255861910951293,29.084610353130433,25.68319641171342,29.551046178656918,28.945198434802144,26.05019534845647,25.273410140333493,20.984765296787675,18.544583047456506,14.602203042277061,13.119135023410136,11.09591544644611,10.337960869128155,12.847395470107807,13.278786325663614,16.902559471442075,15.378746148066373,12.096162463497972,9.518922948953982,7.1342347777262525,6.645594648858405,7.549301726021192,11.555418339345481,15.09454560018489,17.27703421017012,20.98152458804588,24.45417968922921,25.433684068195443,29.72244435544803,29.140483974148886,29.14710029576258,25.05756522848657,20.671494447694023,20.32459124618504,16.554964516748438,13.568170804289577,15.31906443692174,16.01665044597724,20.126205796152803,18.649065060274346,17.00429433138086,20.171610937891995,18.632897376149593,16.013066395945348,16.291857922522414,17.59690340503905,15.760566860442077,19.460577452729204,19.161463524644866,24.42233653121207,24.847363690341414,23.959248040805527,23.72244789913458,20.537551520320292,22.098443731440412,20.761497728059123,21.770993035035126,20.20017616743513,21.40285598783079,19.751263223522265,24.14398606745056,25.174779651237763,23.09278235911116,26.27852524314869,27.840294118349348,26.437143853403448,22.40199827207581,23.11039014314283,20.375610605370678,23.634748606557192,24.90288260004623,25.43574722531233,26.96774591454736,24.551489034812374,30.272374890443405,29.292864552055025,31.0181579308245,29.461486451566582,26.92710402272477,31.252390891903637,33.41143681384964,30.17932015853806,31.625821713716217,29.43258314900292,33.83071935522246,30.554903420817407,33.551742931409336,34.45973428050194,32.54736025697659,32.667325705047524,31.23653324361178,32.363681757777876,33.57333041823384,29.415626495736362,31.57916531877821,30.22083938831333,28.705909675767554,32.45670831817051,30.758097206900796,26.805853972344227,29.06665995889184,31.999274596308013,27.954569610255184,25.626267740386933,30.333111539640807,31.887588013951703,26.572271025748655,28.37213875673998,31.630049041086973,28.724307228562107,26.42252250202771,30.86393271649988,30.525088952718598,35.35538352854194,35.089152097628784,34.676929752423064,37.98977659263818,41.890871778310576,44.87101621598068,46.65924699067764,47.38326107975277,44.537653719675546,45.992956839792086,42.54035523129785,46.33902623827273,46.20247829326029,39.916512090078385,41.65384810336831,45.4051100686166,41.788661648923984,38.75747395925893,41.070922149590515,42.20146906047989,38.30524826072159,35.245237181799446,33.65406984657282,34.40806153706169,37.7096309257837,37.74875641284711,38.94602818933956,41.95737434894666,38.24402829217295,35.20148912746952,38.23351469818215,37.731956123070134,32.83470125682197,33.261133788470815,35.48825198176995,33.330781324770506,31.293478859682313,36.32882042296804,36.58954786839522,32.53754819668525,34.87139770633098,38.77808817391623,37.76052422631224,39.87098690975908,37.979898201947584,41.770875341413436,41.342898203694986,35.682431423441926,38.37792633394853,40.67710595962995,37.9329234928302,35.5075366895779,41.34740757930074,41.10793658128452,35.73848534609135,36.939178103898875,42.12200570383279,40.995701273349155,37.0139902385021,32.71547925633218,36.8666774571115,33.31615862777071,34.58396506008783,29.16561881983129,28.376004222992727,24.310554481401958,24.196172153076308,24.939549807639217,27.804041848024138,26.97216842221556,28.432239229332808,23.31972859130878,25.06401952691264,20.030193487027987,21.44555326278557,24.382803774755335,27.287944951413696,25.658820888224845,21.40868406166298,24.22249360395194,25.706171241654996,20.421108679322,20.188806787619836,24.957295980834893,26.429129018035464,27.432693625272712,29.027889557907645,29.84153699825646],[24.291747783171072,22.487807016406684,21.31014848907635,16.841403452695392,16.300143986730397,13.992035468263571,10.75101878005233,12.630245412628286,9.320700114595846,6.066082016510106,8.091899739726333,12.194690195604243,9.929527988422999,6.465496202262284,11.674993714515658,13.390752766451913,11.279770922207145,15.288154491406603,17.5858655440365,20.279329617897364,23.6229814377186,27.54376584491936,28.277314803934075,27.986264266840045,24.79700680015117,20.69948963617535,19.082389532556746,15.145754539241914,15.679523676799544,15.921681229984632,18.403365616535382,18.993535999883697,22.49149097050434,25.440756998006595,23.274875192506762,21.024179978896896,21.063027379126716,21.262857934496363,21.44182222978212,27.725751810935527,24.263795747999634,24.275436041797903,28.805072465192644,28.80115803556886,29.497179893335467,29.14264753787778,33.289833027104514,32.833043109459446,29.379824050300194,34.318618213408215,36.808684092626066,37.70061256584903,37.98002914245176,31.962733655658557,34.989813864706484,37.998322601520535,35.120143331881906,31.848217799756473,35.81345118704483,38.11381589743475,33.69313597385427,34.15521799652982,32.10781527834986,33.88196778615177,31.760002026578757,28.011772332374353,24.979996921640264,21.760777099326045,19.271447739157473,17.01857533399145,16.421806816497398,19.3128965095261,20.64146938452193,23.850553564354147,22.89979794638395,29.142952326964323,28.017161441919516,30.892869832368323,30.04647463730456,31.40772509336408,29.87935386337447,31.333865532616034,30.212831938132563,29.68137867125474,26.368818992016593,24.31532085262096,25.345524685705854,26.144991637819157,25.01692641004211,28.071242770671596,25.366957577600786,28.224593132265202,24.93752463551876,23.32929930587174,18.668353963355123,19.5064450502099,15.220325364089023,18.46515902347049,16.95690275839447,20.653643814966582,20.493109735297583,21.827123605475897,22.025083045651556,22.585577560935366,25.960049202987744,22.966442398801615,27.148397717487043,27.18706904831957,24.639623618388548,23.131802499487396,19.217613239483054,16.321492451611437,12.051619588625776,10.963700424997274,7.691526183488592,8.37491651250204,10.322225788531124,12.268523426378872,15.155235354869037,12.367672250751461,9.651149540741189,6.319113742836392,6.478349848162111,5.374493539928589,6.078143736295969,10.968690519696604,14.195495399681406,16.223723213059852,19.933311199197004,22.798259574814256,24.812656655943606,28.724131425659305,28.273425000576974,27.444384014365593,24.10998919630205,19.61935509875746,20.543741245181092,16.72407892891596,14.157288268680638,14.799152729158635,16.44055122065394,19.93341665538709,17.449620661644065,15.536742123486876,18.09541021239267,15.597962410354992,13.290445781189657,12.773744240183495,14.238039372706867,12.125730576594755,16.177329819780244,15.496608275865816,20.738733610380965,21.341006700017683,19.846319144908442,19.443772035930742,16.12721284277872,18.159545646277625,16.528827125727602,18.44857775317417,17.53405147335603,18.205683332008284,17.80807756569598,21.711753974769035,23.726661728190447,22.677778934663472,25.883335221074148,28.112999130369563,26.963641882949418,22.908364169084194,23.011967122328517,19.738278385457832,22.04559370295502,22.599883430840993,22.468941718806395,23.567309665832493,20.652354504224423,26.36763641959449,25.879323853529186,27.785256551158778,26.939915477983792,24.40666264777224,29.2188864704299,31.684033650185498,28.587784618153183,29.70886209716867,27.301813294980306,32.136236669771584,29.600647418866327,32.584558730157134,33.849831345262274,31.596422873253626,32.10500020498809,30.742787758859656,31.866902945327816,33.36284082470234,29.364219878285308,31.309503463097098,30.292028080174042,28.140756137516554,32.11663143254191,29.9210879591093,26.209035978838337,29.246700223166965,31.838896228853542,27.68893510093106,26.388751651897252,30.922027422616306,31.808320604339826,27.04637862700456,29.36059877542364,32.3502029623733,29.17136924385867,27.62705382719929,32.30033143925174,32.136099036093455,36.535183428959904,36.8611724798613,35.88094131712296,38.94092198485474,42.74954001191819,45.510101663090396,47.27314028301572,47.505745173094674,44.49377905271958,45.58265852158674,41.819717402048255,45.72387519495124,46.06142526590713,39.824647335731655,41.174483447569514,45.30792588064052,42.066386962963634,38.790283975313066,40.948732415743216,42.71766770760834,39.03680406768576,35.48648983752999,33.8752812213584,33.68579524960589,36.92286697181262,36.92489001259209,37.55995778351063,40.458126076312105,36.36995239165833,33.84170197565055,37.01780333110386,35.994462813205516,31.186668185303017,32.27967852238156,34.286062646881206,32.03079548402687,30.5882992496905,35.69760190500074,35.79311818342141,32.01943743248957,34.80823685756829,38.61186069606439,37.79410009197296,39.57530267754578,37.44053087976774,41.376429987679344,41.42306628846853,35.884569150728666,38.33251451141885,41.083071351022426,38.61265108921864,36.05443587357797,41.897482504233594,42.21199902058058,36.978022112120456,37.87475060863007,43.213802110094235,42.56628001488363,38.71662136107567,34.62053106960341,39.148661408563754,35.9319376032781,36.89511354013478,31.540647526277084,30.081641219021893,25.950261979069474,26.64045367537536,27.11846348242163,30.10741291204309,28.815902694164848,29.592960909605477,24.08792474115536,25.07795817195455,19.917293946955876,21.297461046797746,23.128429242933596,26.060020617016427,23.720915624859188,20.17253251791359,23.60969544722767,24.447397599569385,18.78852201334762,19.917558737437894,24.594760339370914,25.54323196847457,26.31426455585869,27.77425178187236,28.531660845948206],[21.77826331716119,20.49543392216029,19.94143631714076,16.163799701313284,16.42579866285122,12.212338077275808,9.521852795722594,10.46703030401985,6.013341724390658,4.911803403645146,6.103825172695717,9.642549870583553,9.89143283035762,7.133895789386669,11.735057232469217,13.76217356254291,13.327121392496403,17.550605673024275,20.79555569110108,23.264888882889316,26.90671265212216,30.811680970495257,31.87076069952372,31.91324633635865,28.672621924718648,24.572002328570484,22.708002829635785,18.518698000509854,18.051591507295875,17.160543324930273,19.111731746763102,18.985012133858966,22.004365134414712,25.63591243157977,23.949313221906486,22.527766283623507,22.130346763951604,23.620149349692447,24.289980810303252,30.459448440488206,27.695731038110555,27.601480290923245,32.086124274571034,32.44086377506391,33.526184606306074,33.287852439339524,37.461394486562085,36.67187157380785,33.09761425714696,38.17111235697792,40.42527664959401,41.07292420167683,41.27019742100581,35.12904528367095,37.73480799581408,40.79960976402783,38.241375274062335,34.60890776311498,38.239449034290296,41.007320196756176,36.582852825865494,36.576243062296705,34.147176052829785,36.410498209257355,34.62238567205862,30.620383539102868,27.749390223469415,24.049283426105568,21.929842251320483,18.87648209112802,18.754369578277494,21.32092532507309,22.266485916126786,26.029289188800167,24.50318589646919,30.583426032233717,29.821611777344692,32.106767299366894,31.54458093789001,33.29928076243618,31.47309833509177,33.293774145865726,31.640718610456734,31.47295229596205,28.66499978207961,26.164357924221385,27.513044822567867,27.42845503222597,26.80186243008867,28.93339751454135,26.37905258909501,28.98225695879334,25.296554092588384,23.09798340974977,18.365168967470805,18.590815669884247,14.17948746946599,17.206553065119614,15.182025978157647,18.04308443040488,19.34522994991384,20.374524506317954,21.76796824305449,22.115803967682954,26.40528468742905,23.18495516301444,27.16823106673701,27.653381830612833,24.782084951974422,22.837281911147176,18.85526103061678,16.86581013273239,12.1399194549854,12.80020348426588,10.169435191983787,12.197162151982566,14.172799549376165,16.75276117729827,19.242704156241317,15.746047930486627,13.532910153311024,10.151816960795284,11.201666587384677,9.38074835538386,8.050698647996574,13.21184116441264,14.393105575397158,17.35150418661707,20.831014335731005,23.86811157289105,26.167367713818166,29.90403703148894,30.136175227830208,28.913706122421946,26.2326307791904,21.808331176502914,22.7320540622621,19.684749412709703,17.759436610458767,18.525630852850018,20.905042291468938,24.376468771411155,21.66935674958262,19.468966723402193,21.632807193461467,18.481780023801726,16.30581631985015,14.567843720295883,15.139128511875924,11.775365361003908,14.948845095582623,12.915936675823938,18.074153741469765,17.55626027092608,16.467167625811335,16.981621870872925,14.441012550534815,16.949265708787006,16.324546879361023,18.756262883028743,19.31631701109885,20.332397700582764,20.962147211415118,24.54315262203564,26.8991453881139,26.3772538821487,29.146673212375813,31.696940207089877,30.21034283067995,26.29981816762896,26.008506382596448,22.869772682371377,24.741030843496375,24.824677765926396,24.272149929481355,24.593467935632287,21.55376472257779,27.004575416743187,27.371839990136504,29.06926142251931,29.013232325977242,25.7754806927358,31.04568599760504,33.86055909580055,31.070667384918025,32.5293738469234,30.341153541874096,35.38804650748539,33.36053352801759,36.057831896450324,37.26304304182962,34.681262022437345,34.98459557204723,33.31691262548621,34.077881263188495,35.28359720543439,31.066418788809354,32.46023117217714,31.06072796590042,28.432148120060972,31.980945009565758,29.248571678251604,25.797277880607677,28.978639842819728,30.97976823207929,26.499781519929275,25.87976733702346,30.044843828310523,30.147749340196597,25.484722480759956,28.043146731179856,30.607133067140634,26.97781101479726,25.873984018678705,30.677866869096892,31.008755736084048,34.94130336130157,36.286309966669364,35.0831829408999,37.76423581358918,41.86065709558526,44.147773965058605,46.40713940571995,46.45157938952176,43.65294270200904,44.779730898520626,41.083730421927235,45.31716490136827,45.688080887513046,39.60989238391396,41.1151926012035,45.52573673084386,42.390451881705225,39.24127981477195,41.70621068272898,43.61448196572382,39.84705800412476,36.689301810026365,34.436867839761966,34.07012608025224,37.029413403813386,36.42724982700079,36.80756697956394,39.19976379727177,35.12197578057584,32.90506039601948,35.498967067489666,34.1047519986966,29.504021250858003,30.636247797041744,32.03960830579244,29.50781514179344,28.399637130770834,33.473665751551565,33.111659946934516,29.243362259630338,32.48696239573005,36.276986176347656,35.88330675309228,37.7987460481124,35.94297148512607,40.11395844125216,40.02930068926035,34.72614039323293,37.52284956164769,40.33543720626836,37.86908327375761,35.77794141800752,41.709536285132174,42.02250979940314,36.990110011204585,38.252582807554525,43.51194415601456,42.883839142925396,39.16873101954475,35.007253042392286,39.74672403386527,36.516855954518434,36.842548186665006,31.554895426388644,29.774990914746578,25.31337814303984,26.70161753471271,27.52698879612284,30.880247259756207,29.75887051370829,29.989011920162728,24.522674017289532,25.56663591258173,20.435970373707086,20.68418801703014,22.02393244768862,24.434480050222525,21.692549865093184,18.581754849837818,21.627720800799313,21.74086458137043,16.133033231141575,17.525554374664974,21.85953678508051,22.17844413371233,22.82434425264534,24.272201604956628,25.061738258480545],[24.957524969597237,23.940879460456483,23.554115371378995,19.938099862246695,20.09580074607131,15.692679401402398,12.843961489029615,12.808902109753168,8.066122015466133,6.090680094138909,4.72563092307388,8.488068775228403,9.401362888508583,5.851476635162417,9.337397364914114,12.021325247860982,12.367295535262095,16.004356513987315,19.435115908860766,22.16564237728475,25.70418153736211,29.792915529821332,30.820704658741345,31.2243523559401,28.199461657874703,23.972835933956734,22.445801829519894,18.254555564733128,17.23151082561099,16.274981699036775,16.85745391883237,17.45019430022356,19.91572092487293,23.428869017436732,22.28712688565576,21.069462666587306,21.254847103443602,23.037737772449574,24.20532703756755,30.487907129320174,27.911641264796113,27.13196330422803,31.56111450530624,32.34727352396585,33.584084412957445,33.814861087555286,37.87651105628591,36.78478067566048,33.62458164448628,38.927622183317204,40.83194077165552,41.49430485098729,41.3310789028565,35.26842346707125,37.8126892359909,40.469078659106806,37.815577882184215,34.092413712151114,37.472918396069545,40.2421532479553,35.52708877658106,35.065459017182214,32.36509417677735,34.589017822431195,33.166713040027695,29.199887237978828,25.962696706426854,22.106606503689815,19.87173827172857,16.358954136568798,16.344270600892504,18.558631885853046,19.396488853989915,23.505561855820513,21.99383690942236,27.979086546961906,27.769226264301214,29.880808474070314,29.776875125755012,31.962186862447027,30.477208071423007,32.71698634026249,31.350418471529448,31.62900298791304,28.965742180050672,26.004880195278023,26.809169659040375,26.460025268171652,25.346183638780495,26.965386246600794,24.087831649013793,26.23541070284596,22.444303268728373,20.30307254099387,15.681091427071655,15.409998392427381,11.0557391095448,14.935495145661616,13.534988976701147,16.989898340845528,18.36051678040778,20.46282049304938,21.677339065001842,22.978340016771465,27.588581071108305,24.92366981346005,29.112152516825102,29.991622926440662,27.461298876358853,25.134831395006845,21.53363786444288,19.18463545855819,14.583798523843805,15.075757446169275,11.479526385367148,13.643664004142652,14.534968577273606,17.402603917064557,18.67017080673123,14.785917251654883,12.89788656642641,10.015218075753001,12.449139560682367,11.49553489575036,11.05839320998675,16.116050497532324,17.62512770987066,20.22828516632807,23.663970598992623,26.212792720024243,28.996564150505193,32.5171173169782,32.59791122803644,30.98434502293477,28.60814057051076,24.198497398250073,25.7168848107221,22.36366719413438,20.259713793834994,20.441676741815648,22.440426854717643,25.403258070927464,22.251380999568937,20.4245822196264,22.246679904328815,18.76468577551241,17.146917917012125,15.389503346018062,16.448705367789863,13.266901272628699,16.613388722603904,14.013761658104428,18.856524012681124,17.924452816560386,16.11134660113854,16.88090030289199,14.414580969416107,17.68994292150182,16.552243065389813,20.032930257897746,20.75876602187374,20.904046631866812,22.166415814711893,25.309239064465974,28.289556005961792,28.12087229868458,31.181242859434693,33.83704854663174,32.7197454157743,28.75825892755432,28.429697649210624,24.9879899558466,26.41955356032112,26.152263608083885,25.144961236928125,25.300962642242247,21.70429256889773,27.055432257792695,27.71573081450039,29.72719568435766,30.07298041665667,27.277220950581786,32.65958255059772,35.5075897407248,32.71201565003117,33.60874225909609,31.044759183621082,36.240095141217935,34.45459671910001,37.38531533869692,38.912415240499904,36.3684996028951,37.07482478716708,35.641471520138865,36.563801981642385,38.029795460281406,34.00584589522798,35.44032155520082,34.289263681215935,31.48467616219002,35.144967885289766,32.23965045956009,28.941580865442575,32.38633440670278,34.24764726461022,29.7642707072399,29.489105908014796,33.56102953737353,33.37760493604818,28.93260287971152,31.602754626958287,34.014768045341626,30.24284781074511,29.361263751100797,34.185138864948556,34.64676102609952,38.421028047964725,40.004744623277695,38.70866872410696,41.28279680309398,45.37532341261546,47.534043817615,49.83785455064048,49.7073331416995,46.87209680536845,47.837288113816655,44.01669458328967,48.26451885814119,48.85570642875374,42.82507981436456,44.1312666152006,48.66803506444359,45.69443807324292,42.44436997216994,44.772253342980925,46.919278765724364,43.26297496464784,39.85373784465324,37.73384164201566,36.963677783376504,39.90125595830849,39.33830550558749,39.40899793162123,41.70635472673381,37.42940008988763,35.56958488934544,38.19119376685433,36.46305720193636,32.007036852472254,33.494843627014525,34.66742067011488,32.05181769014736,31.31843151531078,36.350329459038825,35.78934800016244,32.03563204184727,35.54105403154879,39.26172090801229,39.046341182612416,40.86143597811636,38.96350313500253,43.186650892972175,43.27018379335157,38.07088521446366,40.78085742653755,43.73846669002155,41.36735305199037,39.256240412479436,45.15499838504742,45.62833252780078,40.64243330092295,41.79739208337679,47.08954854669931,46.576612540159076,42.88618183221891,38.76860899084304,43.529863938140956,40.31923149483737,40.631818496277965,35.35407397936357,33.527329380490606,29.051825749881274,30.502230815153098,31.32429694356691,34.66061137312757,33.46863618925766,33.62917413418606,28.09606707548934,28.87635292809279,23.769310204070877,24.09882087323528,24.932438904346384,27.272003541181057,24.133304020270995,21.565036491008883,24.746115489143016,24.40431590294896,18.80885835736322,20.747585362184076,24.834470025328937,24.681961269276133,25.1547511732862,26.45549523462603,27.126075174120665],[27.341469877030605,26.379994658038836,26.2661161164547,21.995481898736028,22.59791347543627,18.828475460217245,16.118579175223992,16.795519363949165,12.151281893616256,9.61409511530272,8.459792078458916,12.40134539207572,12.387635275480708,7.760466300189394,10.886038707642095,13.977957244336302,13.54213203813067,16.352723046924943,18.744855341233126,22.228203413162444,25.223981239283642,29.59842798867442,30.07674702988835,30.374548677701146,27.716078281064803,23.3309054993338,22.55743801326958,18.68849421810503,18.258645968651898,18.2387869740957,17.966601098480076,19.825805624812617,22.095131621803084,24.9977114600385,24.052998493958835,22.340399441923246,23.3586358400901,24.285530009281945,25.336176479119512,31.792139736487165,28.612698389961725,27.43684236595366,31.867580366614735,32.563514083126854,33.363935056818136,33.74270778216348,37.671465316889126,36.87656156354737,34.14449958723327,39.366780339158204,41.38513835320682,42.3414713743568,42.05746118393128,36.19400910154022,39.122658630172175,41.45734127189613,38.38955818034788,34.98786589432328,38.50239491228305,40.78101733176596,35.79037049907312,35.36560791764692,32.75928944946063,34.34411473745152,32.98543260130204,29.377047091144828,25.369939152642495,21.91969589419645,18.790164812727642,15.535617331671776,14.69681575066128,16.349561252992977,18.105588362904676,22.297202664335845,21.74168598325333,27.80057359921378,28.055499568856966,30.55018008345668,30.73307316663264,32.99754439520675,32.076622970302125,34.31876055492693,33.553316991292235,33.79386835322877,30.804027768039997,27.964859656656337,28.13986503901242,28.33077475273083,26.361606340991138,28.262763877822746,24.861459795806407,26.57095156258953,22.994490805460018,21.462773696689656,17.103150634357412,16.521388282108752,12.489083207768736,17.452266355746456,16.809423910353726,20.78577202812928,21.70228080493204,24.35398098605377,25.001255665732433,26.672354068685102,30.920284448059263,28.396290218423438,32.69290627323972,33.32160843588041,30.838241175966655,28.776894048162994,25.06328804001803,22.395510764576798,17.893145265260237,17.533220476835425,13.478260735159271,14.600188791203976,14.91480380872508,17.002411203772997,17.55247001111337,14.34689899436495,11.914488296560162,9.844062125444255,12.096160982515428,12.351821334003153,13.0607050834848,18.097470418210424,20.5927150408333,22.978729380777004,26.589223106363242,29.20311442752921,31.688880368488714,35.40750362806308,35.08444772640699,33.78770786057987,30.91923096006399,26.4492473409991,27.71845576628291,23.861772524891855,21.157388517496596,21.397944201010862,22.284309957120637,25.143386590541265,22.18770462238603,20.97762775985342,23.0811454540868,20.09031632864609,18.616508708890517,17.771543467217658,19.471856765590232,16.844070832147462,20.5740862614578,18.29807247858753,23.163835630552832,22.158977607384884,20.26635156329582,21.00654815549644,18.346766043105177,21.62313869703213,19.93860260767771,23.401163009531697,23.30384596203817,22.989917873743217,23.605442105829443,26.890258509786197,29.723340497792318,29.035304946020542,32.54178190308508,34.79652809686148,33.952242004890294,29.868882146966524,29.987417606574652,26.500521960032483,28.324082780181207,28.381926187806727,27.572640247442997,28.191455562552683,24.470423039733582,29.95248032723919,30.18221091932382,32.44945401068366,32.35975469916861,30.11971226750772,35.222568953834326,37.82014023973,34.78289336892213,35.287523314252,32.395597742507555,37.421944756958766,35.151195849788344,38.46046283349388,40.091929228980824,37.89903266639294,38.79232165013579,37.60054235024273,38.78598390233595,40.38748287962871,36.42510105816591,38.2045616309172,37.105245767551935,34.645574431984045,38.41799509283301,35.78965338889342,32.29897165864532,35.4699004752124,37.622822363648005,33.17775615247801,32.31630263504769,36.593415961426196,36.81147707577945,32.0092447706016,34.42117723360046,37.026859976024916,33.33597516643933,31.976925493061067,36.72572829823647,37.10401508572079,41.19708833031015,42.39775081436074,41.4603908210789,44.232839975291,48.38562858262341,50.70996674843843,52.99817945346177,53.12200575197486,50.304897571798435,51.40529169364149,47.64829614253149,51.79926518603414,52.23009423725014,46.10183834425249,47.49657152470187,51.84595159563074,48.689481934184755,45.460768120752434,47.73070612587325,49.62100361183208,45.89559699711033,42.47718214840337,40.60888690677735,40.18616590765755,43.26710620905751,42.90531170055468,43.193081698493316,45.655437847572244,41.43089146610928,39.36846125852707,42.09315348125167,40.54965644952608,36.0057382101281,37.2988903618547,38.61495641543638,36.018010666748786,35.03381402260646,40.08713953323801,39.576406764958996,35.6407269540861,38.990607708315665,42.799297201696,42.493919473786676,44.4756479213,42.63785717840764,46.80506978036483,46.70455266635353,41.378486909058466,44.16548065119196,46.940689300051154,44.41926416845897,42.2629573636849,48.18627799275261,48.39954004070404,43.26332581460182,44.4790591562122,49.756729343529656,48.99153419144847,45.170818480446336,40.92208571344777,45.436038389590024,41.98382080765008,42.61171980793928,37.235122716231295,35.86588917397316,31.392744526859076,32.269717011298184,33.22973935012509,36.4466018247103,35.457939754282,36.12269858138172,30.676430137825527,31.74566488205719,26.57359815408411,27.240669160768164,28.605029555265325,31.077797789776913,28.166754466695693,25.24898895503803,28.302954104911805,28.258039439394977,22.686171636129167,24.03023573864266,28.25009558597678,28.273387633114492,28.832113835639298,30.180198196647748,30.82433065675091],[22.287578283916474,21.802235305611507,22.43292897046426,18.622318835583645,20.34495819013596,15.482860492895947,13.887592655485197,14.6563973660981,9.903905467825863,9.902564197243313,9.414344597528364,12.43523467456103,14.203413247616087,10.802452113846082,14.353188805599247,17.1079691184547,17.30581275271847,20.909888863039445,23.902779055190052,26.93458642281631,30.288518851014476,34.47908369586888,35.24275733117151,35.43026730195418,32.49909613293533,28.211715788752848,26.890533430657747,22.78603428604942,22.168110318767592,21.316794244040267,21.847184105619544,22.401876029227434,24.668007901352862,28.316510264477,27.340277944818485,26.170917568861668,26.28363240441848,27.987133312032842,28.937081512474485,35.232640743746884,32.37389876992442,31.8016138230964,36.27911413905875,36.820118676807596,37.75320452977382,37.7311905421171,41.820815856256814,41.09619019279798,37.83914237591316,42.95230340772615,45.16876344277137,45.929639794817334,45.940048737585684,39.878608176763606,42.550034381453706,45.33352452658436,42.60337125492025,38.989408698774675,42.48085272086881,45.146819681736915,40.421367032258196,40.03919797258654,37.35852766583481,39.39780162936131,37.9725835205743,34.116090331007115,30.60355479116193,26.90388196896951,24.243698546080864,20.80245194441167,20.3332625370748,22.035826897243723,23.480108235683183,27.768106647970015,26.676623059071193,32.63511132882288,32.7058359589348,34.82142745241807,34.8441533403067,37.054214910726124,35.55963330457074,37.72325896517821,36.2433850190809,36.36529875724763,33.63568555713195,30.874358269644706,31.82144285751101,31.52173616311485,30.43346357719249,31.98496376885805,29.02431684578488,30.896632799455123,27.050194668072272,24.889106025632838,20.3995842024945,19.600003060791433,15.437757292580818,19.43273794298711,17.810035088034255,20.388880075964927,22.758000918480718,24.23348346260797,26.10727998523758,26.758171626266467,31.43822503491573,28.240496693727973,32.10638649967795,32.70089271378323,29.62993401971,27.646964807364775,23.597817358905548,22.063478137842633,17.30459637000235,18.167867344537342,15.358552519119762,17.064231397805006,18.57758023831298,20.820737215772688,22.515814460723316,19.16613272558396,16.725500673519516,13.89279001280856,15.114379060606456,14.059778647633488,13.102662948637418,18.28489589823113,19.129655968404577,22.462447999634158,25.8852690648831,29.105229596957948,31.25058002566944,35.043480392733,35.41077333869941,34.23796606283042,31.543530752180676,27.11892265008578,27.70309261951096,24.68110510533861,22.50338024073137,23.486611054455445,25.22215425891325,28.693213402028903,26.033930004898757,24.213279190940515,26.449758448976315,23.301272100243093,21.340542604534974,19.717321142173283,20.372594288605224,16.80473183916933,19.520258634682897,16.560984007621347,21.301086901507507,19.251595125167462,18.495452225823648,20.104573758527373,18.26568366944522,21.284813096732055,20.904545272258776,23.824146322055842,24.657023941780547,25.40907072350396,26.120953006916594,29.650555974486544,32.11215105148795,31.392509817699647,34.321719580941014,36.67447970490937,35.178574195270734,31.227327527480874,31.148697769520233,28.07033366066851,30.079397019063496,30.156456276403496,29.473982817235658,29.641745233838886,26.34212660622345,31.66862761187806,32.337107525597915,34.13749587370098,34.2874178389937,31.081122804686178,36.40926755980749,39.24019870505029,36.438612556259045,37.768206314312984,35.40368368521999,40.46376703316474,38.294121643307435,41.176045819587664,42.42818944324277,39.95241747068066,40.264993474886644,38.593468351113124,39.33251368078341,40.41377532010307,36.07646056416002,37.369781178776734,35.6640476380658,33.065020875606486,36.26142970899312,33.39860349946154,30.038906014521995,32.9109627151621,34.64445412442144,29.97166824691097,29.26597177933471,33.21981272091216,33.018669739888296,28.080727715063656,30.46101681972332,32.754286204374814,28.809511815648776,27.544137035415005,32.26784118132374,33.04403019057625,36.82715820149508,38.76442374210969,37.84347119459161,40.33704956740764,44.79050823906803,46.750012545662806,49.52590372572279,49.71975507488667,47.21915374100875,48.56882085902697,45.08134665902346,49.49897343242085,49.67479917611237,43.69893648288015,45.48393821148799,49.893635105959945,46.64351136238084,43.693232061106855,46.387915753342874,48.072193137899035,44.14283108976334,41.41896014218384,38.86255207834678,38.79866204209922,41.6259726009663,40.65940806731976,41.06021578654327,43.08850058105744,39.156095867047725,37.03956438638033,39.086084107907574,37.55569145144969,33.16650831749503,34.04517061915714,34.92600940985857,32.15638633339947,31.114564887041908,36.051879522450236,35.2247900564326,31.06635731144084,34.55146550275056,38.37822165318316,38.360561186003615,40.640038710950485,39.22256522096788,43.51391982832099,43.01677206280417,37.88627359879584,41.13617384030601,43.718129049571004,41.07647379803008,39.469335966014576,45.45563793078665,45.39670025200659,40.43418727496026,42.1651204419111,47.26485052384964,46.30898911866949,42.59545160982425,38.22576470226525,42.798811116816736,39.2492887287738,39.310471127551125,34.03032483635162,32.5843856675867,27.867893540903125,29.15275442533674,30.531540444874302,34.05053302901015,33.40789010333836,33.77014556071126,28.575513462548102,30.05299661545394,24.991351169175722,24.588432356492067,26.10053588254787,28.046366809116005,25.271753612662632,22.325531065424777,24.601684709087202,24.282473492183634,19.105822770991736,19.836337803416377,23.705646672857338,23.46395024727319,24.064550684944443,25.512924687805764,26.271129385386605],[22.482730706432505,21.844606092076837,21.854595279960858,18.962720559434572,19.585330702176197,14.137984850206545,12.00988202827472,11.305536923617337,6.449888450424315,7.154884568620734,5.8955585848164915,7.830422398520437,10.835934517270006,8.858298398072552,11.661448620480071,13.973842251318429,15.17028424241229,19.049004362354584,22.96234077360167,25.305499028490537,29.06622148243567,32.98513878346557,34.284230196032915,34.76208450816096,31.60229441980696,27.485259336153973,25.61568513647107,21.32800982659384,19.922671546301117,18.205739925003115,18.99746017642102,18.59762020852937,20.783788983006882,24.838327029609072,23.87504752649973,23.276287101461957,22.83264737416299,25.423350733601215,26.69588976695918,32.74844344463632,30.64068894834339,30.119762979042378,34.49207912419722,35.341276341202985,36.804323201218054,36.90570886342765,41.027278801238126,39.812208820778615,36.38456739672416,41.66897159598507,43.53150921788725,43.99233353940141,43.923460135375954,37.7663798801542,39.989680385635026,42.85442751575568,40.51975143228281,36.585799474432335,39.784275487926564,42.907477518193346,38.372546273199596,37.765159392626465,34.92532438133237,37.55074594194833,36.224048708612806,32.08378354867149,29.237936247779768,25.168405482925028,23.380282862587713,19.645275408049365,19.977339485519316,22.091885698027657,22.58456017578878,26.800764295639702,24.8220103754829,30.567103068756186,30.356929869622288,32.022961847487494,31.92160076821104,34.179948441502674,32.312331965217325,34.62018959906033,32.724724471737815,33.093340693292795,30.795147797515874,27.746032407648155,29.027642852962835,28.10963831059436,27.658450763775985,28.73542227959229,26.224972290103647,28.349253749534885,24.372832394775063,21.74377176883481,17.220147493405406,16.65511734020089,12.488363654089714,15.41356020913753,13.328966137375073,15.510190153089054,18.21847885253089,19.566400005918847,21.83378437779442,22.572194425976814,27.677997351119267,24.719774653934184,28.58635803731448,29.675201349465592,26.862380480150225,24.36525318089507,20.74861211388226,19.264080709878584,14.609115766409673,16.23432771332419,13.57409066872896,16.266831591990776,17.67904780474914,20.75033652139248,22.411873571905467,18.352437238709065,16.681209494237372,13.584126457037918,15.641055775987153,13.952355172591355,12.374256888209342,17.277713850546505,17.33913522782847,20.520029754127883,23.687786838114203,26.428580184749702,29.225840211607615,32.61777208749256,33.25086843184616,31.49089873406492,29.532714461803344,25.24158378353372,26.562653723709573,23.871477053092782,22.267115194769527,22.725013262662014,25.362524810978922,28.52300716197417,25.42538699869027,23.24248531666594,24.93458154329329,21.230319873163854,19.49159016638982,17.031900825394523,17.241331724507038,13.342647526864166,15.6571712382408,12.16484963796621,16.699027477807856,14.777085044705288,13.634223552382652,15.251627633518309,13.67420971890259,16.931811419173055,16.877449538419317,20.219877132628273,21.93460824963468,22.660748484340576,24.338880316344824,27.39116909790616,30.323462287869116,30.39518670353254,33.016021028447376,35.85945209211108,34.3793932306389,30.564198907005267,29.966154938837846,26.75561409789414,28.025329304475953,27.5583138465321,26.439744801620883,26.070115011438034,22.698993928666873,27.7341272336299,28.93501846244234,30.62289984466656,31.40796421445196,27.968616751061617,33.567954452933996,36.63637160885941,34.10116861799246,35.45716012991697,33.235422042190194,38.48861327612129,37.000534293791,39.605890706295064,40.956785991047575,38.16230635659172,38.56549615513792,36.835082943249965,37.426772442038335,38.58495770676269,34.387988425326924,35.38090355686838,33.903073984453464,30.823373464930064,34.07348858198967,30.84086457127127,27.785137515640194,31.22450393954994,32.62358595319383,27.982102165838974,28.201077436739624,31.918785559640952,31.171142515202053,26.897658541423237,29.6988366832963,31.75309046444651,27.734730835249522,27.235288721512724,32.06030240054176,32.85838983762039,36.21915842605576,38.52098046923887,37.053919529814685,39.3166316598864,43.56880158251809,45.368051030541395,48.01086806491676,47.755571994935266,45.1105732691411,46.12397465474511,42.41559593893494,46.878119734901276,47.44505021503071,41.584293243126886,43.037384097598164,47.72158504021938,44.824481857693314,41.7220707269786,44.29399401199063,46.480855827899944,42.769934681916965,39.74134723829979,37.13084037951716,36.32238549274887,39.01427318235511,37.98045369826044,37.92286604345765,39.81599923108488,35.6483005102177,33.97671807857715,36.09554578283577,34.167944956616715,29.91854928108099,31.342326726030056,32.061719096534965,29.28405217341524,28.777273275436173,33.70412472412009,32.82863642015856,29.05628917199045,32.82822801866706,36.491608342768274,36.57566676474138,38.47392030421367,36.815804085304336,41.16125775348353,41.1243782789713,36.15499050912144,39.101018516829534,42.05583980898403,39.708816930449636,37.97321597049952,43.87653144872882,44.33440413758079,39.55202450475389,40.973046515560725,46.15227053201265,45.65858428710991,42.10775874853304,37.997051910818264,42.88048303167249,39.723770974744596,39.55066852834897,34.40438816973379,32.33138978436922,27.724605315037252,29.68988725880962,30.707739184380674,34.25215160937437,33.18133499801752,32.92289044300102,27.530882611652675,28.365296365745543,23.413620533989008,22.899226938154193,23.40103690159666,25.273289873307036,21.975632897635624,19.77625498118331,22.516682662637386,21.65370175748427,16.33283625174976,18.383058573714298,22.050237915060492,21.43280152358787,21.811567449148,23.09519714435065,23.81787307983368],[25.811272673737058,25.697531572231604,26.35633669876091,23.339762405003835,24.574696678944505,19.034507773873,17.19853063902366,16.41378657294264,11.64297521211118,11.747097917285492,9.362783294675607,10.926524923711385,14.38427258749348,11.668705740784233,13.096393366259923,16.047769739832013,17.768742514028922,20.766930830213273,24.40093216220194,27.236194269540242,30.64822344189656,34.815799157030476,35.85013472319617,36.60231403973163,33.80699333974001,29.5462227741463,28.263761460753383,24.120518632182375,22.492196989400103,20.974673946763396,20.02834590940124,20.658504028685908,21.918198188959973,25.709212014571087,25.5820943407967,25.19868542598895,25.512463355026117,28.184240373917504,29.830596580659822,35.994898998247734,33.8486107020859,32.65032902707936,36.95027858702707,38.124376446192464,39.520812724678756,40.01747700325599,44.00293012897942,42.69730408012631,39.74360132061208,45.15492960046796,46.812694534094014,47.38852435229815,46.99080848308632,40.975061656129256,43.24907330265005,45.65758671039245,43.12516311041333,39.22042925228989,42.18865276748312,45.16570001550749,40.28265899141417,39.1896733951221,36.07509730315116,38.44001510474421,37.57757963814552,33.63688764367179,30.156296700093016,26.122358205974464,23.912682140558566,19.819263749455722,19.940641090697678,21.150443464305493,21.912751488374813,26.574262824764983,25.0043437307997,30.475704701459016,31.19629416959151,32.65539028160906,33.24155204600412,36.01520283834236,34.64689084265276,37.36952073283378,35.855016367113095,36.624280864394905,34.4006829697508,31.013920501801678,31.655160444816158,30.565108425985787,29.44587972355838,29.873463901266515,26.900005763554528,28.155495519911014,24.113461228320862,21.676309804253897,17.62440715029648,15.953258644389921,12.3715543119313,16.43503270229372,15.282005214133713,17.622253428844868,20.7935822833069,23.097781762464475,25.318598500411554,26.80922246606833,32.1310203436362,29.530029828708276,33.46238061291909,34.74609000422997,32.03576607225757,29.404877213066943,25.92675942699609,24.342813657734556,19.731839194593622,21.06283288172072,17.779154161539967,20.158725569163238,20.8423836299069,23.734257966956385,24.314979761973348,20.32355271304144,18.675053709051134,16.227722333258555,18.806159639447817,17.92297295063653,17.044558763443337,22.114509755857203,22.54867001515826,25.6745333607884,28.88344282447471,31.493896043705625,34.40172626221556,37.77023893183158,38.290689227873735,36.41769597032158,34.4848775998934,30.154851107057883,31.565287630016282,28.57756989297005,26.62022236074575,26.93075064162715,28.911147592572796,31.81502820981657,28.556893987569598,26.840014159723353,28.458189485486187,24.7127341805336,23.358425935158458,21.175285509301506,21.820799261364872,18.139374451368308,20.478528489212906,16.589393566796822,20.532927827870203,17.62359253768843,16.23456191509756,18.52231254634091,17.37590626256753,21.149474141650536,20.784213370945206,24.80402274216969,26.478372049456585,26.55703839044828,28.425955519263212,31.27156537913356,34.539487911884116,34.59170974017429,37.5380388221307,40.277377323319826,39.03208599176352,35.117651705473264,34.69062164962119,31.322826702267164,32.53901948028332,31.96781575620346,30.604973710575482,30.183226771020465,26.398868712621365,31.276823279472712,32.696582383616004,34.650675347291866,35.65991619132501,32.59919967515394,38.217088145182736,41.258421727603746,38.66155040908061,39.57469121708481,37.0037115276083,42.306062568900025,40.79279849229586,43.688073911443816,45.259551126737534,42.59926517098684,43.262400893603534,41.69984352530193,42.42654025570903,43.701185895960954,39.54877296907497,40.602863706582504,39.12809523371798,36.04538131161286,39.22870276563775,35.9134315855907,32.9351879349828,36.309682348484735,37.58194868041842,32.87629435253066,33.090399104048025,36.71320751766534,35.76178815426207,31.425450403143806,34.13249142613632,36.00872649219734,31.809877356516548,31.25824221096494,36.008067950046645,37.06889013211341,40.31906556049004,42.95812320883226,41.64722951729751,43.79458235081458,48.22003861991655,49.80856450972483,52.727721880753336,52.48997193460792,49.98002274057566,51.03171625963685,47.3729516716872,51.90782163018678,52.47595427700742,46.67850616127762,48.16823117408967,52.88571748905365,49.98986430897525,46.925999275370245,49.51948692991702,51.6862289431859,47.940352693143765,44.96343468185744,42.335767698942156,41.52241369258263,44.172922571921916,43.03424652162412,42.85467832255695,44.540297754761355,40.35847072095054,38.90690009776457,40.79005706399293,38.6487609251814,34.60470442037115,36.05688001864925,36.413920773079894,33.50342533082291,33.199479780162,37.99424940721728,36.78296273178532,32.9431053379624,36.9197431981499,40.54701552694098,40.90831246102181,42.949387561334184,41.502220803935494,45.90811492231195,45.73157671637979,40.89693775252171,44.0177832447145,46.9030959041468,44.49967682155238,42.971819903442366,48.88717401164578,49.206276932127565,44.45036343996651,46.043498788486104,51.16917274217976,50.53455157532323,46.967491719082076,42.750356719518166,47.526963335531846,44.17877036851428,43.93892880237843,38.77776276194438,36.929244737851356,32.20554063951886,34.02223083560799,35.31075401786691,38.90273654385358,38.0448950840623,37.92502277004879,32.61264469827988,33.574813520563715,28.614313384470673,27.985609212617177,28.458956943199123,30.117352976407826,26.69284589040457,24.767647697416614,27.194511598382725,25.98709868806577,20.987996362338794,22.818700367691058,26.12343033851665,25.023166910293877,25.29838252166764,26.477588501519286,27.097768710382308],[24.82729334873845,24.982176061210502,26.196041515631038,22.90645835003656,24.963737042965708,19.4897047927254,18.202530620267137,18.114316629476797,13.343407703666859,13.759535751003922,12.036007669215497,14.028077936349513,17.122084631543,13.954738135043588,16.037329933000677,19.080101168556077,20.27697611013947,23.317792553601123,26.511990643973625,29.652690904858478,32.8983947719194,37.183309918483445,37.957180125616055,38.504734333553714,35.78825762743509,31.451304060327423,30.36956902537985,26.28278910109518,25.088586450278175,23.896811114058043,23.10886428390983,23.946655349714515,25.32700025451496,29.025109444309475,28.827617625860334,28.202963164837225,28.60342859306394,30.912962905245504,32.33280157865609,38.60341531766266,36.08858345854223,35.00469331096175,39.378273938000255,40.3300786645226,41.44309879525501,41.7783659708632,45.77937001980203,44.77904072467428,41.80588042108909,47.09301134863151,49.004261288276474,49.71243916089079,49.430664391126854,43.42320794384592,45.90374067079871,48.376641828522004,45.68690401473834,41.92485744239089,45.0691523830521,47.8620768120386,42.92972364582286,41.99521255690593,38.974400772120234,41.07981781586783,40.13292094546274,36.311407073314314,32.54966944157441,28.704695985135125,26.068428555407586,22.16552994105496,21.84943078494127,22.818408705056925,24.132126635245836,28.81221364922277,27.69314156913812,33.25844537306668,34.07826704949358,35.736901838203295,36.33418779101219,39.04092533315516,37.750700081733854,40.35242128837288,38.90689356282597,39.48858692392302,37.06890909438421,33.878081445596806,34.52130188697751,33.69990847622452,32.426811288510216,33.10009584494794,29.98427182938659,31.15055052747375,27.171943729494235,24.91273640404528,20.876020494237913,19.148058618317755,15.594198245754251,19.87254038080402,18.671120427850333,20.840985915640264,24.116381563732865,26.11475459360036,28.41657848053768,29.56488295065592,34.752820113722976,31.839164150269273,35.666338676133556,36.6698207985525,33.67297889411091,31.337357574568784,27.545565899329056,26.212291562267144,21.489225235550794,22.717843930741797,19.640813751456058,21.623054951243976,22.596652861724582,25.053615671838433,25.876346637154953,22.282859544668593,20.187790718949348,17.759282446791,19.698877060122868,18.923930058342332,18.04026422533315,23.209552688935712,23.64929924825807,27.05929902456247,30.34698486485566,33.355430236141395,35.82873995642863,39.4286923624378,39.970789320189624,38.45181843611437,36.156886086461874,31.769785182865007,32.62971031923024,29.66684236898708,27.53104487536371,28.26951961192799,29.923950088151518,33.114867688730705,30.1712392991896,28.531877071687013,30.48289455558957,27.019941870049667,25.42752812474456,23.52602771706396,24.162532710210396,20.420099030321786,22.73002268119834,18.957217073211886,23.030680411937244,19.8224803903527,19.019209079560227,21.46762400698586,20.34276099951488,23.882237692408843,23.673111112542927,27.29751491880174,28.70948253057115,29.062716862716726,30.408039831598316,33.57988766131759,36.495759146550064,36.09830466226604,39.084903182896944,41.56888092372271,40.171656875110486,36.22209997756753,36.03527227896867,32.836519450408616,34.49786183216372,34.23459466542557,33.151093966955045,32.931010742570706,29.30082864913391,34.32302197713689,35.52864539033926,37.4308066091211,38.127474627507205,34.95989028584683,40.484017377905474,43.44883109864347,40.75631599688897,41.85055030855365,39.32084358087513,44.520123214720314,42.63908487614151,45.594108705396835,47.0222148829029,44.47904065238565,44.95555444470612,43.31434878484091,44.01667195220229,45.12226669439771,40.807322367898095,41.90429345805551,40.156508363107406,37.302662725515326,40.30226354621612,37.12887456017004,34.029624507656436,37.01475498471475,38.346971039746705,33.57586444741631,33.348462707326384,36.98478304828538,36.20532358078424,31.500039211192377,33.95621425446296,35.84942282922161,31.631638682412227,30.710314654894884,35.35554275824528,36.52645110947561,39.890026021641724,42.543650291626,41.54738926926825,43.72879963254437,48.34259164526736,49.9054718484876,53.039585923679404,53.07324452804725,50.73783833007902,52.04520879660257,48.58675703103856,53.166160078326094,53.44614438255026,47.63389061057676,49.41004557914043,53.98601929145068,50.87265823086964,47.97116323489033,50.739912120124075,52.56999647929938,48.656329278340145,46.03162017453587,43.263025746680796,42.94959553010551,45.607155786495625,44.34634472775274,44.44958405847841,46.09209773346263,42.12084835774137,40.4092108637644,42.06527938449336,40.1473622884416,36.07205830597882,37.11278306062633,37.42968741874904,34.476570957059224,33.87233448342041,38.6244258976092,37.34099718344277,33.23390927443134,37.08928250246361,40.79892330559377,41.197038232076316,43.53189962097983,42.34285966737063,46.74797085771534,46.20272180959837,41.35037474527678,44.76167995935576,47.3811728147917,44.78738980203808,43.48961319752368,49.45345902766993,49.40808425380361,44.61624949593161,46.51583572246992,51.535069614066224,50.590645868725936,46.97396287317143,42.59823947986648,47.192073472510465,43.611879358237935,43.34521359619655,38.17215665494951,36.66152015073716,31.846934986578106,33.394709962224546,34.98597741230245,38.61748053494146,38.092307067956376,38.22967559138196,33.116883975024734,34.5159560408184,29.546418900100424,28.70453108011513,29.731693995840594,31.283685475869564,28.175365653225853,25.860646738485936,27.825482474871983,26.817569838484076,22.02504848498176,23.019755101755234,26.27678676723605,25.27668622805085,25.67465125496411,26.959352209407918,27.625178599056035],[20.53972560980937,20.931209085221848,22.410249580546942,19.833945537173317,22.232592954397322,16.18257864684159,15.707526914183564,15.48947794977702,11.277005889859208,13.362885650778349,12.41974734695818,13.63475135165595,17.352914041239575,15.176318696201202,17.7665687888437,20.301551457907813,21.60901264153676,25.298723377123668,28.935457560613262,31.605302260157295,35.20051662971207,39.26254753817138,40.35097786313616,40.766561989879385,37.73652724049357,33.52144062634731,31.894357384509235,27.65061827032496,26.40492200565885,24.7047849263537,24.982282600830004,24.68884710934806,26.3532684319369,30.52593875478162,29.996497011850906,29.63142478617936,29.229809226377164,31.95762429390859,33.20338994366712,39.264825178725,37.03628727412483,36.529529942701394,40.928159291965066,41.705392078413944,42.97689139449635,42.964840722123384,47.098069613709775,46.10764246078853,42.66170363305259,47.84149048609881,49.88342967347819,50.39927956088973,50.39601712985979,44.242612767029634,46.49292024750837,49.38751090049161,47.01996528762198,43.10918524900926,46.28051021827761,49.388171081726775,44.77275074592789,44.0335434631499,41.075894321551274,43.59314991858942,42.43004799699318,38.37321552705952,35.19550022684921,31.18067146033456,29.01627411891174,25.152280230523548,25.14935086169847,26.62284084673341,27.58179140894699,32.10934567555432,30.464693176931505,36.06321975003337,36.361443651376064,37.85087914785573,38.066447138685106,40.52785949528255,38.70180468294718,41.096000894872105,39.07882368495405,39.46794799511869,37.244203005897845,34.22835425185108,35.5459249810194,34.472271091517776,33.99738156543052,34.68722529405845,32.06310840043718,33.69285000372176,29.619314482255817,26.93781800191731,22.72797652775138,21.38991707918617,17.66415451706246,20.775464665838385,18.737388288304025,19.783555459822953,23.74958519397245,24.6185695592376,27.66907571760401,27.92584768752408,33.22852544643702,29.885893505280293,33.31809388034811,34.28567164669905,30.98114868234856,28.72805183742388,24.863102384178507,24.355881688662954,19.725100382978635,21.752092464607713,19.650138186795342,21.996680764975487,23.718554554800157,26.3584527066571,28.097885833260285,24.347930187112574,22.290140189939724,19.31894677292394,20.714988347099744,19.090465182303422,17.20785251164655,22.074472871526055,21.293421673859353,25.141941481318664,28.152252495040038,31.429428272292185,33.6903204566818,37.21598576253245,38.250153337185175,36.78868320141268,34.731053407550846,30.49352808087973,31.001952255951426,28.730010635346268,27.116284797399093,28.207171926606645,30.598364776864724,34.12372286522996,31.349060241878558,29.221749751253476,31.187359939430593,27.657990957838674,25.74660739584179,23.35502080342169,23.232895708175466,19.065465055765436,20.520415249667952,16.545869060435173,20.360689056661766,16.698735353149814,16.91280664665546,19.70709635486692,19.133838651155283,22.185778057659117,22.91718068321974,25.90956623326746,27.921748584967442,29.054240781061132,30.455369036283148,33.72781373931629,36.34047700766173,36.03602714383185,38.51595645114233,41.132089892382446,39.30218049641324,35.53257329750397,35.10824274735677,32.22769153846427,33.89046032540935,33.614027112533684,32.6557579104693,32.14039673542363,28.967627787840065,33.81076375342143,35.23142060803157,36.728291951349796,37.55021952058835,33.721545234086015,39.30994459489651,42.41352848122147,39.94822197762414,41.65808599248207,39.58708474070561,44.7693706109245,43.05334344454637,45.610175741375585,46.748450157891156,43.973531877770874,44.03173838330213,42.061592882289624,42.42157427057872,43.168184307611654,38.68792147811759,39.39463401677712,37.31805606385054,34.34741746304659,36.930783342667766,33.612763990910025,30.700250958360844,33.5303735699533,34.51908799208217,29.694134170524364,29.76090753950106,33.076688352336895,31.949954866065678,27.372475646863606,29.87502868906119,31.50319017136442,27.175994852869422,26.531065622259,31.137693390748154,32.522912227742886,35.55910216993646,38.698540406763804,37.56383719956573,39.50996913801258,44.204409458501104,45.53078607140861,48.873307054564755,48.865156562022364,46.6997211846538,48.09698602324515,44.80310578419594,49.506593674274455,49.67809376295643,44.026417208342224,45.97975285140785,50.58842958790115,47.50232347167854,44.77897737506244,47.76982822665373,49.53880156412697,45.58133829939431,43.37106449735,40.18569126257581,39.99355066515967,42.435871548104316,40.80203096689912,40.9440584993584,42.304905599041454,38.556673644018026,36.83852164167669,38.0695492890291,36.18149188676927,32.24766955248021,33.0510858014405,33.11075356059215,30.099963167098302,29.50565321680068,34.1430031164612,32.71513780928417,28.568534312279553,32.49540614268283,36.16456561549884,36.7151786547975,39.13183273193731,38.153949578270165,42.59445147767107,41.8992259340162,37.22794030678846,40.82067409302885,43.36788588730926,40.788911051900776,39.8027708986951,45.72616246889225,45.63655639500788,41.03856954430048,43.15473395870854,48.03614923660486,47.105257976212165,43.63210195841238,39.30888545365102,43.98690331127858,40.521046386978604,39.841731631954595,34.83203484661472,33.091676768936274,28.247254821886884,30.242357017210917,31.93772305603448,35.70169749733659,35.267297832201905,35.04223231602859,30.145445164118893,31.63925489440065,26.899607889041505,25.359392795189475,26.295065461691948,27.45652303915262,24.483844651600506,22.290506403510108,23.741277851038923,22.512117254302478,18.12836965816268,18.87231369368119,21.768098117640015,20.58098498272727,20.99659145521676,22.359981244884132,23.16582400978107],[22.744751044190885,23.765555673684446,25.760118228350606,23.79112269392342,26.447907802050214,20.098469998954336,19.961552525919917,19.16542705996373,15.281910449806244,17.57354030809108,16.043982224978816,16.43203166437015,20.95004747477448,19.04646137445659,20.750771904650218,23.32670581430051,25.29182711290789,28.657694143996228,32.47147975909323,35.12922238518626,38.690035492362604,42.766384716149595,43.91800849475708,44.575966117598156,41.65206370258457,37.42502270016073,35.884777547127946,31.64141716260171,30.004267704879172,28.0021172620627,27.502186615112482,27.196384766973974,28.166937349991752,32.40945097186185,32.449029192991205,32.56943294126203,32.23310964390411,35.471637305731406,37.02497207651326,43.003181543554824,41.091404182056685,40.31235384613846,44.625530868899936,45.67720280977086,47.108783238539154,47.297184052434915,51.38935512690637,50.19555522480095,46.87704800189215,52.16326763464105,53.996687377264365,54.433018564039635,54.2582143408157,48.13011362273236,50.177000987509885,52.90638790459563,50.64612748251384,46.60060340710211,49.48733324950081,52.75517138306374,48.05841474486272,46.92380319072345,43.723591527335294,46.36970470038052,45.54611872384931,41.488876424263964,38.256072162928916,34.13192778609195,32.08870545493787,27.953633761204877,28.107023966307978,29.131604252646603,29.914296391710156,34.642338747213415,32.89005607487896,38.11184237644757,38.89266446746474,39.95502402139183,40.55114740467131,43.34073487458104,41.57439741541753,44.25630115715693,42.155651808984636,42.868783945453195,40.94447524202402,37.65237974848682,38.860329655169146,37.33331600936996,36.8874470579781,36.866874743121265,34.26774242262119,35.40479472019069,31.269443833578574,28.459024071079366,24.69629217091804,22.753619099404368,19.642448426476452,22.555459367714807,20.75090857306879,21.087026172278946,25.8784791830131,26.891449836149068,30.399236319381806,30.861255222597112,36.517501094876174,33.35833469682468,36.62248477573248,37.90046088091536,34.63174796976641,32.15444070663859,28.554943486959118,28.353816864943333,23.855532901170864,26.178741910320493,24.02248116808391,26.551292928977166,28.01962329681457,30.80867503116218,32.10579017148224,28.19052983775836,26.34654166659676,23.560436820018186,25.31369138959514,23.79237961766931,21.908682684323487,26.710763367655485,25.53175502149085,29.433397958525838,32.260427847179365,35.39186744784842,37.83462314191429,41.1672631553999,42.43236903270143,40.7271405746189,39.031739243705225,34.873884439534436,35.51067451169446,33.39536562696344,31.873696255898974,32.85552758937959,35.28154413312218,38.67827614161464,35.73574741720078,33.66441103869065,35.43980717629522,31.696802489158376,29.99770182480748,27.37667266130608,27.138232996400742,22.880238836328935,23.85786737098132,19.38888270852464,22.36313175890762,17.659025185351815,18.138566019402255,21.648893154880206,21.83162519320454,25.0854674050067,26.113099240055675,29.46177251843886,31.97643246060961,32.93956031503173,34.78785708275432,37.81144865639034,40.69289978925888,40.631615181573196,43.065258860136844,45.79352971454903,43.9585467577638,40.226204653418414,39.69055131246755,36.78570777693572,38.19868021642222,37.6726565356651,36.4437971725046,35.57702064651506,32.277369867984476,36.77985243607413,38.66237131150973,40.141384840125816,41.41333160064029,37.51156254496619,43.223957728900615,46.445138853609926,44.12044437362035,45.76578963597555,43.663055013065204,48.93562595952917,47.46741413912031,50.00231926501817,51.21609719601328,48.34908529309819,48.448532267837656,46.4420993895664,46.70290807688232,47.38674090129113,42.91233634103856,43.3773868344627,41.207528677324554,38.044317153442925,40.33136246152653,36.7674238148607,34.16511404510532,36.995431280992534,37.54566530361897,32.71414801788375,33.235458283441446,36.14526377984938,34.44584034544167,30.20682814296716,32.712244666881794,33.87551808571475,29.379217352684485,29.122397550403456,33.52065895127633,35.292958280553535,37.81043775462006,41.6751792820661,40.46996917361407,42.04684210747208,46.856959518036156,47.736883162485015,51.44224982337377,51.28532981108965,49.34689066362027,50.725105119868275,47.54210385899712,52.38024962145801,52.60635520629589,47.192868220069286,49.17403337183443,53.895143083053945,50.95143850167391,48.340760788463314,51.43015947155199,53.28616154406419,49.35350383524504,47.34848390466945,43.91533323378447,43.558043118961834,45.781020871757974,43.81275912671025,43.706780388676016,44.62333824314312,40.95683633348406,39.62076959056388,40.3602908638477,38.15693432873425,34.626932478349715,35.48740460024982,34.94672088797386,31.812104080722715,31.64234618042287,35.963053657919566,34.07614877710061,30.062339898413846,34.266483368536754,37.73927504079721,38.72390463676021,41.18795280207041,40.50651689115124,44.99926068121754,44.21346422748135,39.91213873700913,43.65670594787484,46.17800974729281,43.669394101737794,43.05540351333208,48.88741423758051,48.78410407349077,44.42922418283555,46.7326805330817,51.46499720431228,50.54259562576317,47.2147861559962,42.93382273966153,47.59723869186772,44.1508925820835,43.101877847909385,38.28549469602071,36.48251093544226,31.63771075288866,33.88952387469463,35.765795584404096,39.60210866642314,39.299727162190955,38.831055496965,34.11809745092012,35.561191208005816,31.006814275959496,29.02570185754529,29.538848373275954,30.239914830357307,27.10572646681117,25.544162721945384,26.551244415543376,24.698809746730735,20.984381001083,21.833622338900003,23.94069407215075,22.024525047599138,22.237711627442646,23.40134883444393,24.113615254118905],[21.932600248679613,23.517134655484092,25.865754622143076,25.086040725323752,27.856340742789296,21.20107239822999,21.810727267546724,20.47840645722481,17.599461117948497,20.8449385320526,19.54523899489852,18.937716023279997,24.025490286102883,23.01737127398824,24.488500246818543,26.636673238005642,29.009410596477835,32.568514081503835,36.7822238016817,39.02679358169289,42.81096733204794,46.67855149715615,48.13369137586051,48.85544533560659,45.76561582147131,41.66539419930417,39.765127573792604,35.45997583756218,33.546007397983026,31.021647141739354,30.8675881369441,29.704383591486664,30.448364444682557,34.99009362206782,35.10331529135379,35.723547748189375,34.81373767714061,38.64673082276421,40.254630221286405,45.92546521970162,44.50245802207083,43.98996284089943,48.221019181442735,49.32666620694161,51.00886019615557,51.07778407384194,55.219443261644905,53.86570975124422,50.28654113566412,55.535274674408576,57.28809512768494,57.49344901910909,57.41544657222735,51.23499638556007,52.922293735967244,55.852961883214775,53.95614047118003,49.72426025831615,52.408049091908225,56.02691135054452,51.57699089541881,50.35214271380131,47.079479006095546,50.13533030708101,49.355036542945065,45.13498775220446,42.38238577079297,38.09338498900921,36.52683545780014,32.3103064928708,32.796736824545306,33.97477601586452,34.35508459228302,39.022193621757076,36.79567800908552,41.76166146306413,42.381585537408085,43.03199733133337,43.533874411766185,46.29321446816812,44.149400007781836,46.82100168125235,44.23208345708999,45.005443250844536,43.48296053507599,40.18479713646777,41.82980403653279,39.82620348267043,40.04637736143381,39.60145693205808,37.46469963468263,38.68186002983399,34.51312488407781,31.36348776496237,27.829904711272874,25.945401239789337,23.155833167675336,24.962372545290165,22.765947485578554,21.723693182203895,27.3392346415446,27.494267009619023,31.778900524521628,31.672971481004808,37.51878480763291,34.26599921365642,37.01216767070211,38.497736711760275,35.135142464558804,32.58695398427828,29.301616065034807,29.932086138475512,25.804171984961233,28.808773953020587,27.3427858120164,30.196438303940482,31.95469365554149,34.96730044086521,36.60192467630491,32.484336025919674,30.85186141123514,27.859771949173712,29.509433277067515,27.52395368510684,25.064669156425467,29.420824967869393,27.138613505329896,31.203961614810638,33.58762701877124,36.67635479321414,39.09647392573758,42.12261730493175,43.91853895070378,42.06057550036523,40.89419318972492,37.001599054209166,37.54164927978384,36.08721132475911,35.06605693549212,36.13935282673192,39.13105929065126,42.6063495781314,39.66650358616502,37.29431100880844,38.892414793817956,35.00220440666236,33.2664190715116,30.194583249547993,29.338390843973837,24.910266531282957,24.860924261935402,20.17889309100631,22.062256429400044,16.52979119163094,18.080695455623154,22.104369999639736,23.241461811293593,26.07358287651049,27.973549976152107,30.976965638440284,34.239587028338896,35.62382124402067,37.82240441278873,40.668503354070346,43.495716090450905,43.73635406854288,45.7151830530703,48.63330546917965,46.51252474073212,42.99965114449677,42.17354612458041,39.512359326685775,40.66765643724727,39.93260544188986,38.61150046753329,37.27677922795964,34.32214016448107,38.33314823962315,40.67423580551147,41.79513148913868,43.4831417744276,39.098292886728366,44.85284778418305,48.22912294258798,46.227819904842285,48.26692331344291,46.5215417013636,51.7973457371163,50.69063209781373,52.8675888453305,53.91536432081741,50.81246422856477,50.64014916346641,48.38749476816851,48.30868024315896,48.68365021310355,44.18160773338549,44.14274066124961,41.73395105140725,38.352593144230276,40.06168387369017,36.2378225170637,34.122687469135855,36.83694118860955,36.733048679276976,31.993514017986474,33.20854595554036,35.454405387969835,32.997777898158795,29.370718865858287,31.910067297150725,32.432133387950984,27.842316923131058,28.274430041912048,32.365016319508825,34.54584310677042,36.274893568122,41.04369050477688,39.59684918747393,40.643721978500615,45.48562813355622,45.80747048717397,49.87233980969433,49.494365280814804,47.85811276034869,49.22143090934089,46.26307885339072,51.23848942737588,51.4748312997301,46.453831570344725,48.51501165952705,53.320077354055904,50.59121211225475,48.2116360546803,51.479267861447696,53.40126840878099,49.538554429560385,47.97261653611636,44.10107804113943,43.62283458974217,45.4636216676252,42.984613148412386,42.6675058812363,42.989222789433704,39.604498979482045,38.63392541529818,38.64910047338445,36.21944983369978,33.227451186683474,33.987559108097045,32.749000055154454,29.547652447565017,29.81927829927103,33.675381774291345,31.330049735208075,27.566565175155574,31.999227814746174,35.176471484542105,36.62665858294492,39.07956037464469,38.770417648213844,43.261098564003866,42.37682959809756,38.60473601284892,42.48440743817909,44.950333767941565,42.598276172289765,42.48631127296407,48.11254636805558,48.05714110691509,44.123974993266714,46.632828644974445,51.10136050175487,50.28997173491643,47.24903947021321,43.15468353307063,47.85348106611067,44.636022738840715,43.0006457711926,38.5600289578482,36.4631769275473,31.75476570279931,34.57262683409623,36.52880705396878,40.42755570577935,40.21051190662714,39.215314887925494,34.87750336531337,36.22401991640042,32.11901778412434,29.37368022548933,29.353946623297563,29.35584794296214,26.27614344836896,25.464706024440552,25.732059639808316,23.20344671878101,20.597608239613848,21.450908985262785,22.45933992836727,19.792565247382555,19.821718546605915,20.814472288173782,21.55344586330228],[22.20390215782641,24.15649314228387,27.163739939864232,25.973733429275168,29.56958123704162,23.211114618788077,24.148047263930646,23.57100763950078,20.409957774983635,23.39822276143961,22.291316961765816,22.40316785903485,27.07052310079386,25.377023642878136,27.270264963846877,29.72860855653,31.67220211604799,35.182681829155,38.98020475050914,41.62694564594696,45.21955162536515,49.280204415390756,50.42906949786912,50.991775486301655,48.02606434417186,43.80183225955854,42.189362735543305,37.92572770996705,36.3822964322987,34.25565950458872,33.9693563354478,33.33043136689976,34.189700892013775,38.57222952170705,38.674026175839145,38.9664834224392,38.36123989709954,41.76185769199887,43.21486669873653,49.102926952624806,47.228875789849006,46.68465551139401,51.01638399377721,51.951960719062114,53.3302008465797,53.31743293995078,57.45903744636945,56.40389638198315,52.89522169758842,58.06640129233488,60.05599322736472,60.44710712271064,60.42471275386114,54.25172316998638,56.22442756695984,59.13481974913391,56.98280981344217,52.90427125443433,55.78722793702287,59.15919219030669,54.54968520403076,53.43048999504728,50.209445014625665,52.934294746294505,52.11211070725755,48.02450880365416,44.842428591378365,40.714954926598686,38.64999229942377,34.52944315336122,34.609125065641166,35.506540280248764,36.409073923425254,41.17276009330739,39.4380154138262,44.561782828585535,45.39800484160407,46.31321952297068,46.91848632230653,49.69699669618915,47.75490548843322,50.37992051656569,48.00503688252093,48.63788337170594,46.83100116866169,43.653018297111615,45.13185377416768,43.46103814217485,43.30116334885202,43.123053151363536,40.67211163401842,41.726963942339566,37.57974726756045,34.66573046049102,31.053006402687483,29.01152509040228,26.09504653971424,28.61997954798735,26.605979077847174,26.05702894483014,31.416941119194902,31.716324303315282,35.78218351148493,35.63136466167244,41.30572420320153,37.83082551249893,40.61082999479676,41.77904374580772,38.187527435062435,35.95756867152907,32.338469169304446,32.95719187989023,28.657091633780784,31.344834316364864,29.7843436544047,32.24515275831434,34.092003342599085,36.71810702057675,38.37752598064436,34.58752679771856,32.58322469191445,29.693474784020186,30.963268542234204,29.227519067922255,26.97069103380738,31.48178589793965,29.51515760489772,33.747756599240944,36.29409336271079,39.73889067254678,41.74532380774929,45.04887043647557,46.73619571877315,45.24827591058513,43.62097060583164,39.619941755351064,39.677224448442296,38.096741253238136,36.79475292554759,38.19702260119567,40.73722823162303,44.41664450004617,41.72196824220531,39.51414061110835,41.42646280791115,37.77366714538694,35.88190434472874,33.16289422622709,32.52817708346308,28.12457344879699,28.41285163938909,23.958413131795027,26.265088778388115,20.916499571692746,22.484672411293097,26.36592599518102,27.14724979723141,29.97735139555267,31.65696340124216,34.51315541422017,37.32879947951838,38.77140352918389,40.46928670463553,43.630650154881124,46.2039320556979,45.973550869281915,48.113250116172054,50.74129185163472,48.55277703938052,44.96664728214865,44.43928058338507,41.870964270346796,43.47736831028812,43.056779441003826,41.97902770062544,40.94535471162366,37.9683272002947,42.2613189632357,44.308590200180234,45.51160393595524,46.83188673689531,42.50163657047721,48.163824055228,51.431519533032606,49.258043248184876,51.33708764992638,49.508303016963694,54.713379904310834,53.18436961020243,55.52419364557813,56.49062821467105,53.556352960120535,53.285622953587136,51.02237039470056,50.99939343842399,51.27332760621572,46.63303646145184,46.73934616745436,44.102534093257695,41.033317004503935,42.628106653563435,39.045612978029,36.74109721129071,39.00482105032149,39.062494572105635,34.30433851531477,34.882893087135564,37.185133725335625,35.06098271144262,30.96896502438611,33.1247933500957,33.69831173312521,29.17592325253584,29.04410638237038,32.913968005958125,35.2106856160733,37.10326037417924,41.79985071100509,40.80818574929366,41.92277915433552,46.96449686234832,47.283193987065516,51.57565940567388,51.5694026475871,50.139643154062476,51.80405508595867,49.07912739551284,54.05057690428453,53.94679156696442,48.896707558855155,51.259884903996436,55.86221895649095,52.86862632937312,50.658081814224516,54.07457410119947,55.597580757357164,51.555565995976174,50.325352196074164,46.39677350636324,46.48605729829297,48.38877508700985,45.87705907120038,45.90688100944741,46.26666202624876,43.104965281385155,41.80539468190194,41.672656796073845,39.56177692078618,36.498840293537576,36.79285842718948,35.613769358601694,32.43331489559811,32.27425577160424,36.04376071314272,33.681446225185695,29.619878325131857,33.774944882560625,37.026220460696365,38.47936030263812,41.28822150905836,41.274946223419015,45.71181650286091,44.379888537563474,40.58333687958404,44.76516716764339,46.882890626822764,44.297890197658326,44.42260870008979,50.08084598320879,49.56531444665636,45.58191695997608,48.42178694223757,52.75725056951851,51.553212123360524,48.44579764533066,44.17092678027726,48.58939675360592,45.080902973867765,43.46276332319667,39.035345068047214,37.43073717950488,32.668689824711784,35.05095445465566,37.35692790711331,41.249085570354595,41.427697210615186,40.814012872529254,36.70478352858399,38.52628011099783,34.37377611675857,31.58912507716159,32.25945657422021,32.27590675535758,29.592565936586713,28.24016852633493,28.109688705994433,25.99227942303111,23.520618867294786,23.386955113384634,24.40715507164348,22.047693473583873,22.25201401629133,23.335777131029975,24.05340673321208],[24.036096787041224,26.319645707540126,29.44829096476743,28.987868043430122,32.48685996367327,25.995884030195608,27.163684328959146,26.133246333417254,23.435784741957104,26.735045059944706,25.50489018814223,25.00921752097356,30.07611753471375,28.847880096951087,30.34542816150954,32.61254355130316,34.950561194396236,38.426404629657625,42.4883409477461,44.91460742050643,48.605444424086016,52.559864651037486,53.89529840062076,54.596772963868574,51.585391423942305,47.42226797020687,45.66063405217071,41.366815997229594,39.53811922836495,37.07879217266444,36.681957266316914,35.66710058711413,36.18399785149161,40.67386720314145,41.00377190685196,41.692469391909135,40.86193520174667,44.70352211454078,46.305862291548095,52.006897239147285,50.502715070268934,49.963839404516946,54.21445833050443,55.29813162193563,56.880034120656674,56.91002771140508,61.05645365856942,59.81520229337766,56.24404186833941,61.453855805736666,63.294622635886924,63.53735521953568,63.47651827358283,57.29882057939582,59.01129339871611,61.93490803657759,60.0064076660358,55.78811936589156,58.450365609237785,62.05165949367521,57.5367773747788,56.21967104300589,52.88102546915479,55.8554747528622,55.184349051900064,51.020249295731496,48.07209189988281,43.82827290039834,42.06400963439106,37.81845573182761,38.13562933738511,38.993054369003545,39.59819648920347,44.373580268913635,42.35320829780022,47.19980824295199,48.111613526001875,48.67003959646748,49.36084690594281,52.23493376688283,50.148152806461006,52.87496625046925,50.26099553244514,51.057004318984276,49.557593665213666,46.26974088468372,47.88978138284191,45.83611681316942,45.99147083265854,45.36057670160417,43.15528117350304,44.080716318024955,39.92980767802448,36.84240225593803,33.5162993813038,31.353952891884926,28.798352841212004,30.746697683290293,28.690397109562745,27.392154825123967,33.22281094525339,33.24258134468089,37.71455105118708,37.440986025462166,43.27644998875334,39.90173401209143,42.39279393378548,43.792995540673935,40.25116955228633,37.89045853756017,34.58135420700481,35.58115149855127,31.51181252449393,34.541927722641894,33.19342004965388,35.88648848497679,37.73000398368549,40.55577748581357,42.18138238347284,38.20484994843824,36.403578138728065,33.47684591391656,34.90658265932513,33.00717299011161,30.543717069674454,34.86268939128015,32.377687017324064,36.612766839717644,38.895939619225,42.1863697570246,44.30512832680621,47.35438308458745,49.3367223390638,47.64880200113296,46.43308730666884,42.59028181725024,42.745599079481316,41.47488722292201,40.42509025915722,41.75541058257761,44.584984941373556,48.21275076584245,45.41215011538558,43.08802518173592,44.819180484769106,41.0040804438913,39.19988651882203,36.20352941687952,35.2983276149622,30.84597589817458,30.601543118139883,25.98968102627339,27.52070032614377,21.740880017678162,23.689735695630752,27.854666625520146,29.230371839433715,31.933436381804217,34.01169146334484,36.864178272801595,40.1595957074769,41.67250547406614,43.72640274628061,46.67988349839528,49.37026928423733,49.41533832380582,51.34578451012629,54.13161345765809,51.85155619673654,48.377709698906195,47.653924250113555,45.150454807032816,46.49548734582974,45.85952354321408,44.61645009318596,43.24714727022459,40.37278163457153,44.291007164537604,46.70770895082315,47.75229269219455,49.44457121904557,44.92223671831399,50.63125010116954,54.00671408325987,52.04218807535868,54.23270834524116,52.54243671502328,57.787447093536805,56.55824027639612,58.72815289329762,59.672864350142646,56.58975793409634,56.248221067175734,53.88420403780488,53.68524869654754,53.83107956691949,49.22818541308027,49.02486098342025,46.314501819263924,43.06718756253407,44.31682897990798,40.54405915449277,38.613728313099195,40.8678557374665,40.46030724744608,35.823674060590456,36.938962014089185,38.764902556486206,36.079729443704366,32.5421538354847,34.716021916744346,34.798117853631055,30.277198184512013,30.68272661296338,34.25770271183603,36.83127141620374,38.090375557619204,43.43385046803116,42.258017524541756,42.95401256054572,47.965921435527704,47.82889605774435,52.370495309859024,52.15180709001315,50.94746225799843,52.54142420757676,49.96232106216262,55.00389290520128,54.973289519277145,50.24398722946463,52.58995868834323,57.26708952201895,54.48321292487844,52.40905301903506,55.8942372219363,57.52964855551824,53.580080021843294,52.567351291993305,48.40235299827808,48.29233191143406,49.92543182501312,47.09369457218724,46.885417820974645,46.7908681239542,43.80331945226116,42.87747501670573,42.248695066776015,39.9021789332908,37.309831338171996,37.63585955628103,35.91271866217175,32.72789365998059,32.99846547629254,36.337816295011976,33.61385527901464,29.88121531075274,34.17486149778325,37.11313813431603,38.95140756545353,41.68453289835455,41.93459969171999,46.334431183746474,44.99077835390728,41.65084795825464,45.85658795381697,47.95864030385447,45.53543519714485,45.99738406810169,51.46492796971331,51.03354226823292,47.38122557143119,50.30808231736405,54.45257561305186,53.36592599604449,50.477475187635314,46.36588123717814,50.793732337864576,47.46700441020621,45.46596376016357,41.329760529952175,39.52602484983122,34.90836514630588,37.642343219181605,39.95766564073577,43.85952734588379,44.05482206536716,43.084867712633915,39.19813030363048,40.86635237123002,36.996890449423226,33.82897853747933,34.02773461875833,33.597033615140624,30.888823820899376,30.158858545436225,29.650742169581832,27.04332000909718,25.316108305152465,25.374507557395876,25.62416538575035,22.7398263802451,22.747095982888407,23.606134337268507,24.26392337658326],[25.033711844988556,27.698773474114997,31.35608333751234,30.918696377491067,35.00186160307332,28.78025835297779,30.327101411905506,29.73006959734624,27.07126287906748,30.371797148715334,29.346635337742647,29.158254320775946,34.02295370778257,32.516490445769655,34.29736748137864,36.681070081189965,38.77346982853287,42.28059650253362,46.12488015210985,48.743483298484456,52.3499631111458,56.39436909529413,57.5704817755223,58.14888479421466,55.18390636624079,50.96522186623408,49.32178375819274,45.047647738848084,43.446804745932,41.16533438019013,40.80919243382263,39.96381853355129,40.56135047863354,45.00772434838869,45.30653695187893,45.8460434663338,45.08896122514667,48.7299429237218,50.20892502237614,55.99560027661137,54.2583533914131,53.78729113565304,58.09864282970432,59.04523974098047,60.44711801797302,60.36447261668543,64.52287805404144,63.488642287002605,59.891693832724194,65.01543745165098,67.03558866641963,67.3627631898428,67.3856578207248,61.199684959847986,63.045310600450904,66.02468082362923,63.99288974893785,59.85048266353236,62.631807507761025,66.12947648223495,61.564330325950785,60.331871456730035,57.02955777110257,59.851491027656245,59.13639820877801,55.02987270026024,51.88631271634559,47.727888132596846,45.70647518820842,41.53127112670549,41.623286767835516,42.33876689822758,43.24047190810915,48.055291027051105,46.28934285182901,51.21496572797814,52.2152857524052,52.896039674649195,53.61397786449929,56.472885092330245,54.432246928542625,57.10161447635961,54.5205719723118,55.20126478053802,53.57499050001051,50.39732122859572,52.01723207907313,50.11902813481797,50.161908927772856,49.67114861735275,47.346042007806936,48.20648379029522,44.06719565955301,41.07665271942615,37.71072897452413,35.49424210638952,32.87250249803192,35.08678975253984,33.0459594408622,31.83656296780944,37.616299262339794,37.5195085235397,41.99060588202213,41.52220278017289,47.24052279491888,43.6672873176678,46.03784704373825,47.22143854555658,43.491106317798454,41.387690029419645,37.919458791332026,39.108279301092445,35.0257992495328,37.96435876504521,36.72841837126744,39.1985326587405,41.18704933966776,43.7674808570894,45.52180258562555,41.752702919599386,39.726408755629336,36.82353786885781,37.92935569699313,36.10192387870072,33.661737776508275,37.94457763591767,35.44545631972882,39.80835660804783,42.085968463296595,45.62904067633212,47.39342708876451,50.56742126091174,52.59975390719774,51.182998080270075,49.740053280398804,45.90092095853245,45.64389351799309,44.464264991010076,43.34116992797869,44.94637576421081,47.57248161280289,51.375632224613824,48.78221129817237,46.50386544713332,48.43297832463926,44.77583444819777,42.83673305674088,40.003455496687295,39.11258322010129,34.655986814561814,34.432074779083756,29.98171722034736,31.60495856083363,25.88182227260495,28.038562255185965,32.15838167501431,33.44916459180304,36.03412136995284,38.14446060218124,40.77533547841338,43.89454348269172,45.57049597341477,47.30959552364126,50.46581686987982,52.92240906819483,52.670814613580255,54.59012575314288,57.18448333148897,54.77161143377812,51.319002377399315,50.7562346400041,48.408370850021576,50.041202475656085,49.6068537330206,48.544711884261275,47.30235452454378,44.51387866489632,48.536347122257524,50.820026910790794,51.82865328888982,53.31990963210104,48.71592592925938,54.343250741465816,57.66321842961932,55.65218826837637,57.99015519253699,56.341042080349176,61.51995231333651,60.04626410345269,62.23524791753433,63.058195819949105,60.051752208759275,59.54679915486112,57.109325170845196,56.85884015809229,56.82899617525221,52.12619946921485,51.899672588240364,48.950819391822755,45.9268190881322,46.907604475711175,43.30192923777164,41.370844880627104,43.19588390267711,42.73956126375428,38.1816274726183,38.95453588268949,40.60042625264421,38.015689379904416,34.343633800972405,36.15787094310925,36.07799564819772,31.700539327726826,31.835805365777006,35.01891772422161,37.772998997768816,38.882575118895296,44.37575213242031,43.53618315129448,44.10721601194403,49.24070300659219,48.917870351750004,53.73283696620782,53.77751751979308,52.86318764644974,54.705424487920936,52.42111092394637,57.46185867217543,57.13444723877724,52.53776058254791,55.15108553059793,59.645788746328044,56.71565019630275,54.8720923173289,58.51530124412673,59.81756491792983,55.762143949514694,55.174028884764226,50.8612330607083,51.19485393779343,52.75987842206614,49.77488212528845,49.806402423354,49.57823420560558,46.8892690529654,45.79040502484251,44.8391136779649,42.73440939606278,40.258481493944224,40.1596681413597,38.31871496947428,35.192797485911434,35.21680890516193,38.27972167239147,35.45811029216593,31.63545129622771,35.64825300050649,38.49506011703656,40.45222942965515,43.452594158521876,44.071702012273796,48.37065663083085,46.61710153283206,43.466346560292436,47.9216530752715,49.680086855699955,47.13066486069004,47.94808767159482,53.32477628087678,52.51072497700937,48.98745312572874,52.23274336052646,56.14303924112691,54.75794335138061,51.93246176267123,47.77151036873169,51.918688620982344,48.45388551237732,46.298264590615744,42.361234257583874,40.911925040855465,36.37928408085815,38.87265617744983,41.46386464983657,45.322757045870475,45.87243255849135,45.07257266711278,41.5301525690368,43.53607208050759,39.791922208677846,36.43279785358805,37.0354006206355,36.443325509859186,34.10774741732726,33.14862594505255,32.15341507877839,29.760070211559558,28.439054250132074,27.760648884145848,27.718968363965374,24.98024902959471,25.08175246417117,25.913249852857422,26.520274474610222],[25.857230553417597,28.607098490473184,32.118347574769196,32.348785740093675,36.11030219508991,29.761257508773117,31.418443106871987,30.36266134001748,28.1641179130773,31.769697899884633,30.702709198213142,29.96079902400354,35.11934814071656,34.13766321102883,35.632899528494505,37.76533977287555,40.18195416891337,43.735742396821294,47.888121892753944,50.20493718093876,53.96055543356904,57.85163035444901,59.26940640829769,59.959627267938906,56.89240071893396,52.76547295789422,50.88925696300968,46.58023652289357,44.71325090527073,42.095112907255505,41.8385810029078,40.52129619841381,40.92631581958439,45.494653388861494,45.876454198814926,46.7579014924944,45.69632411816405,49.73724585165237,51.3196448714713,56.88099405785997,55.539026792093765,55.15154236506308,59.377341844187484,60.43869118859538,62.073776520316045,62.00000623040061,66.17221189408764,64.93418609217919,61.22585823908234,66.37348338088849,68.24184143336515,68.39188096866035,68.41348041784408,62.21900379725184,63.78650676771883,66.82503456720022,65.0529650608971,60.774233265659234,63.35944491193358,67.10077289912509,62.695967975967484,61.34817339616146,57.98261782682694,61.09799648540779,60.45181507766543,56.2383641695383,53.438937374098956,49.15338666060408,47.50395348425218,43.23994537384646,43.6134056460297,44.46336037186546,45.00646204187345,49.777074752073815,47.6441653533996,52.367123374453435,53.267094693291114,53.64643908200489,54.323616915780356,57.18374970701728,54.93576049396775,57.637258140073875,54.79064561777068,55.5803867077273,54.2552703731627,51.019355458460886,52.84451189464643,50.6085121616663,51.04397860957074,50.22801003135355,48.20976029527141,49.10798489354085,44.96927094891139,41.78536340526647,38.5981924980388,36.43088335527753,34.02690164618518,35.60502677165614,33.436752481070044,31.57066226359568,37.65286415386579,37.206494496645576,42.00423479097927,41.363040687656266,47.169192225457145,43.705983705013345,45.80285382916861,47.20729931683077,43.57529497409991,41.33767508177141,38.199396521612236,39.70887778103767,35.88022875955544,39.15003205141141,38.163353779893484,40.8945966524461,42.91552509564821,45.73838299103756,47.55642542745142,43.56967663624969,41.769923636460334,38.77077877626429,40.03350092834095,37.97477374367151,35.29461303640873,39.3581159476854,36.36520673070965,40.674998672385605,42.6871758668444,46.02639416937032,47.94060661903148,50.834297967537424,53.13236520007652,51.497118097996584,50.48784959875067,46.82441125376499,46.73673579700899,45.86539844374862,45.03731417622508,46.525124658852825,49.5284901367019,53.26388915323956,50.55276669541739,48.11124742311966,49.83442383952409,46.023295857066884,44.157608470477044,41.036687934254225,39.858231083638756,35.385653248644594,34.66575832549899,30.14845571359395,31.104261419595442,25.19294903501643,27.656952003874267,31.901358719245884,33.67085784924243,36.06778515212992,38.54762554522791,41.1037164629227,44.66867324547919,46.443238601690965,48.53181571378634,51.46574689376595,54.020915631537505,54.092130994635426,55.771434857680894,58.56025697438976,56.07235716542213,52.745990056505654,51.945229426425946,49.6550040562072,50.98357252797405,50.32718738132264,49.1178179499537,47.56238673919523,44.92663453856072,48.583006882584534,51.17984916429846,52.008127330727085,53.83843618396919,49.05407460783693,54.700800491886426,58.11637829639576,56.327359458077524,58.786011125475085,57.310476892063846,62.51168164395257,61.376999605218586,63.35862647249596,64.15556164550087,60.985903840253414,60.419667989107865,57.8929675826036,57.47338728187895,57.349284749342445,52.722831611446274,52.205895585062315,49.26091548287853,46.03861812899001,46.76101419537375,42.97457300819732,41.39657351540218,43.308029800898204,42.448016129323406,38.02651654082235,39.37849437596749,40.628427028359745,37.536985104681655,34.45527188855095,36.3835347089845,35.9129298961435,31.559498092633557,32.27957680460864,35.29078188526663,38.19329835810956,38.75646495783008,44.739793352708666,43.60698333500897,43.83032493826299,48.849052598975426,48.17696899285092,53.08973679639801,52.856287930113545,52.06313733525849,53.760703616968236,51.54532314352206,56.61767216796699,56.43449655297254,52.119562830784,54.6325094313707,59.21783613818987,56.53535208430936,54.7647431742428,58.413131274324456,59.90366527383668,55.984331081368225,55.487843188819795,51.013790859893255,51.05414376275482,52.3794407411263,49.16162379034051,48.93319796816643,48.34032008335828,45.77161840673113,45.03348543248508,43.727164015249755,41.39659607000058,39.326519989145,39.34357479616559,37.083798773202346,33.987946820400005,34.43976662698149,37.156347525590974,34.08719693564251,30.644561688141987,34.79336549328096,37.34891925793353,39.58806612085505,42.40730299240465,43.14968257174992,47.40409119256585,45.775546076785666,43.00638749268901,47.36924456671573,49.20360121287942,46.86323433119859,47.86965118795994,53.06224484300805,52.45788201125558,49.223910856161545,52.42395990362246,56.20991189460023,55.04759095380599,52.42473374725202,48.46562463068033,52.70553428941631,49.496362924498044,47.044820291715425,43.340322390528996,41.573272971287246,37.192086754978014,40.089256802098895,42.55832824854865,46.41477480822545,46.846975524075916,45.65313062077193,42.23901177231186,43.993180697191015,40.510968908292725,36.87805678095209,36.95936252879632,36.01788376015581,33.62703824437573,33.25905092973502,32.06420859852307,29.244574149684684,28.498727150229964,28.17399068660745,27.55384152004282,24.405082685719364,24.313548262821133,24.95819896041944,25.537095427292723],[23.567168480935543,26.46426590720544,30.02487707958841,30.87217409465218,34.618280177125285,28.433586825304797,30.494520565339,29.452265523504998,27.833369520991063,31.815782823826307,31.1206262239761,30.207573042195275,35.277441422942125,34.66068278951018,36.40889718403536,38.30251085887934,40.61344399624974,44.42373060509003,48.697143812328854,50.78547922861447,54.68402459894995,58.438904870872584,59.99651485150019,60.5728713022806,57.351056597378786,53.31813308450062,51.18852723605879,46.86755057660098,45.06465165885042,42.317628796348195,42.66047561257652,40.87326398644729,41.528559935689024,46.24250142897001,46.341558531336496,47.241189742584396,45.80229905460481,49.89483742582939,51.319233553062986,56.70294112732182,55.482239610964825,55.43415918665384,59.646793784541515,60.56225689850005,62.24331193805337,61.956933261055056,66.17093787913362,64.9764807241157,61.02724970896006,66.04609404452407,68.0006111037116,68.0511502663763,68.25904951451611,62.03770684207039,63.49494244143441,66.77196093652348,65.17318883292141,60.8741082371005,63.50635271010398,67.36399343537137,63.17437691511031,62.02048863382774,58.75862782871007,62.04494534535881,61.21419222696029,56.90316739557022,54.412989624217715,50.08947960936202,48.62970435729245,44.44565283470265,44.91275424959088,46.072700975891,46.508411828771486,51.174509976547924,48.833969242290614,53.65581700027455,54.18387910889981,54.5782875880737,54.97013167258135,57.610493659608295,55.08908741234809,57.5937862240024,54.48418745072546,55.098507689192715,53.86052934336593,50.81745080045647,52.98154717707197,50.7279274729163,51.554237835942494,50.90392017626534,49.134200977079125,50.366607077210794,46.215105294038445,42.89432105708839,39.563056408678854,37.70605308322155,35.12658580952349,36.27013740652354,33.772901631997186,31.50959810743474,37.603029731189174,36.51906887945145,41.523814480378974,40.35491863221599,45.99817886693776,42.36462671611946,44.12488921218337,45.43449383210165,41.719868544164584,39.65091655986376,36.621783013940124,38.58050729798946,35.02272086502204,38.521721390549914,38.036643904613626,40.81541068777389,43.12698728016936,45.962121770862076,48.21041392357198,44.21858054848005,42.42947302589532,39.252928396390544,40.25058647350754,37.90253337536458,34.920952032073735,38.622598376960404,35.115659843559506,39.44843242672817,41.19624963562129,44.58248417896742,46.27843027784531,49.04210126724861,51.585090614834535,50.05088973061376,49.18901929864021,45.7227712017854,45.422812507204554,44.971479707305974,44.44413189008204,46.069070846032645,49.36993994997999,53.21520024167978,50.64238635077656,48.002933646508396,49.71975442204312,45.97900540043329,43.98445030722985,40.75107445896148,39.249520042326935,34.79139417611353,33.63874625709121,29.357423097427382,30.01256563654524,24.259561726246606,27.245926136327732,31.369047288434526,33.309712163924715,35.280301518307965,38.14404037348012,40.2138700582029,43.94036594440044,46.090573529459675,48.10596165501654,51.05663134161435,53.366023548175384,53.463524394968026,54.830323027230385,57.634095724618064,54.94419768313423,51.7950402015997,50.88371427634235,48.83319769833884,50.149734693380964,49.5277008147351,48.44908659205588,46.80814400371309,44.514683333073066,48.02271736796372,50.620127543292014,51.198293571294464,53.00581516270019,47.955655166626244,53.48595435051816,56.90226256072973,55.27137418884231,58.0526357772385,56.86162123457024,61.96589539634511,60.90880217413121,62.63945286297725,63.24878981026568,60.00084614326208,59.19063276754401,56.51442132543928,55.89564411736822,55.543446395738826,50.92200366127272,50.16464646419011,47.07389110554498,43.884463916257474,44.25893394940807,40.49981313749754,39.146376263610364,40.836992819123985,39.710437023829705,35.444765914732905,36.992987482259814,37.88069101371522,34.56679123118745,31.801789642142637,33.64375268128884,32.87751895389963,28.629995887796102,29.640174707100794,32.392326765364174,35.41815349283457,35.59172594312103,41.87920281176826,40.659299318329666,40.64395691685137,45.61663545644035,44.73950047363458,49.75393582267108,49.490995976277695,48.86054415147456,50.608781881187475,48.581625969886936,53.648454876349234,53.37205806313489,49.273023400152404,51.87431055210082,56.385024130643494,53.76949061062369,52.17247987847408,55.90379803916817,57.31417889538443,53.44251294996332,53.25353422724826,48.59929524208059,48.7411812361771,49.875385801689625,46.45446096731802,46.27809885108515,45.47123136294924,43.17337427667208,42.44096923864792,40.79250825609409,38.57231441209642,36.72874523786738,36.507583072891286,34.04185992726042,31.016209727858534,31.489318455976925,33.91240281400361,30.742628470341643,27.4212446763052,31.48224789022131,33.87930594482774,36.252771882126204,39.08731990210806,40.03649501961918,44.20626914141966,42.464640274960125,39.95718099534003,44.362292185885,46.07897312773955,43.809336547179846,45.06299990170187,50.08947655044107,49.459231787864375,46.46437750846682,49.75233705597113,53.34728812213658,52.22153869448759,49.76977458447491,45.96038854103204,50.15711237819618,47.1265093249323,44.41547271938154,40.96919141155401,39.081368875702516,34.889955458520326,38.01229071247747,40.45688123538601,44.26532884711688,44.7451746816887,43.32286046891271,40.21869848787849,41.97113513052061,38.81744404576645,34.86599260643829,34.86429603205126,33.60834748840427,31.507595338027325,31.317712602971078,29.672377024118983,26.785380059660675,26.70432275398135,26.125119633547364,24.955300098916926,21.72042867232603,21.62888377875759,22.241824340639454,22.894817888980405],[20.869086187028536,23.71155913277848,27.45085529554037,27.707485197263527,31.80047309167398,25.71011358474701,27.77644429322935,27.231953596144436,25.269639936356757,29.099977983826616,28.58963528802491,28.20477539244755,32.952011434845765,31.916444515764923,34.079723461075346,36.15445229227068,38.084519500321456,41.962006092630546,45.97434335778026,48.292394259869816,52.09904995758846,55.97000153208462,57.33134426955001,57.75294384177426,54.56875301050394,50.46680149160635,48.47906857964041,44.17735456445033,42.67425937153158,40.23424015762973,40.70777743570557,39.249227198310415,40.22606184693007,44.877044556696994,44.76758776543138,45.29491093867435,44.048185487489654,47.729185977004434,48.98955717991186,54.57433806569873,52.96375216461222,52.94431542039745,57.254077029153784,57.998282683193075,59.455099634181614,59.08968879331547,63.31029996064923,62.33780614750162,58.42096388738073,63.38560890993966,65.52985898087636,65.73816784247596,66.01018698095815,59.77520693415468,61.50388199001815,64.79823999847241,62.970704132568144,58.80682502131462,61.67619561441722,65.310745870931,61.0206774992036,60.066721317079526,56.91039835930296,59.95056256191193,58.96930787139679,54.72752597440187,51.989946142945925,47.77667106990389,46.004076218329445,41.93815043031773,42.159767800664255,43.332814685696114,44.08264236692853,48.75321568881438,46.70329663028214,51.79757779299447,52.27635127373965,53.01290300223732,53.333532134001544,55.89175234759839,53.495843396209864,55.90030498511822,52.99657197227292,53.43175945866529,51.87887669394032,48.95476662223459,51.01497894824857,49.12774087852643,49.66319623531456,49.44224083975243,47.42652348285669,48.765291378337984,44.597050937964156,41.42145936684967,37.81645363777203,36.0375750349451,33.12917821135737,34.79508452667353,32.296362477384726,30.63890564777337,36.41307268264241,35.52348755154064,40.230424172155935,39.09789526051808,44.61673302616565,40.796994972486885,42.80506669831809,43.84673722716668,39.988168185222364,38.09477210171667,34.69278800012899,36.41084936118851,32.621373362770804,35.85421683576711,35.263006544324696,37.803808095380404,40.19302732732246,42.79967950105806,45.148726780955805,41.36364281154171,39.34443798109099,36.18231380458206,36.93221829939815,34.70028249472005,31.842156810024235,35.68880930514845,32.54587480352273,36.969794050319955,38.95731755811513,42.59530708713291,44.09126565766068,47.148985582502974,49.456888356586134,48.17830324154465,46.87140237536205,43.24814326836986,42.723509797448486,42.047288739830734,41.29757564674405,43.08570454228587,46.111974014648176,50.068599823761964,47.649992676474916,45.10308533559983,47.03710447597476,43.4695321335245,41.345351317424075,38.36686398416911,37.07006561476308,32.60562836965588,31.879072276679462,27.710029474152325,29.084504166250422,23.564902991072334,26.362300503964203,30.32466455126227,31.76999190067521,33.83499301649904,36.409262200318,38.42478035322657,41.71745315823841,43.88417899480314,45.50816996528412,48.71135467665532,50.850648743411206,50.6200385642337,52.15987909478295,54.77791685041893,52.11227504121038,48.861847547394206,48.162708353169,46.10210840327349,47.740806250094586,47.366607432008884,46.48476677983734,45.165547637999865,42.79631618781051,46.689721504084666,48.93606921444696,49.64620923814403,51.069950980740636,46.13208068006598,51.62971369958269,54.95001036180164,53.11018143155457,55.854509483607835,54.55638491922294,59.62085872116235,58.22460821030597,60.10980786706698,60.69798309780819,57.594534444687454,56.789231200289585,54.16710086488643,53.68766809768986,53.397313287977276,48.679885241101054,48.196560541353634,45.07428323886121,42.088260241842335,42.719711288070684,39.14899681613648,37.41125900710052,39.00329159249079,38.30670123860849,33.86856922548517,34.814576567954596,36.12957771034419,33.357852803815526,29.917231238791615,31.673155010677,31.347447327670935,27.02094026870435,27.421002422924154,30.435289242461415,33.30315605364814,34.10073198661013,39.871000136189124,38.91983059326157,39.30517050872653,44.41558361774572,43.959835513364304,48.841530494743466,48.875819585138096,48.080102192516215,49.987229303841296,47.86924722125798,52.90897389267253,52.47363680410853,48.04426572299239,50.762810199989914,55.183172380918606,52.29384223349201,50.61386424463207,54.354678390425434,55.56661608210607,51.543446569395414,51.26939858515412,46.75819583687082,47.22728408459921,48.61648432068935,45.439236441619315,45.56955023017677,45.187656954912654,42.75786478748539,41.58791374942859,40.3413280582096,38.39886818424493,36.066217667645184,35.69033605871539,33.724271635099285,30.651325239178803,30.604790851631314,33.47258373385637,30.61005793620369,26.797333532443186,30.738286781679015,33.51766500173079,35.54035418437924,38.58156006776804,39.36370292226906,43.602312275899514,41.73720969420485,38.76124012029322,43.275992313266734,44.93234514909078,42.42916331031382,43.458083719924964,48.70791727995064,47.875375332621225,44.55019246344053,47.8817575701108,51.632726928539505,50.293528925568395,47.61853728798286,43.59202642064937,47.74244270242781,44.46168612162489,42.042929505355126,38.323090540589114,36.70475796392507,32.324312531792344,35.10430028487991,37.66372013155619,41.50076491869176,42.08077844901959,41.02583742596913,37.78469378886954,39.80713648596838,36.40162041175036,32.66962825161372,33.23694653607398,32.340706910551674,30.333133845457905,29.47350426135331,27.988012022590137,25.569511587804815,24.90008356558902,23.869076910488157,23.304375100521995,20.518196467503746,20.672053338445327,21.55492061510508,22.289706658603798],[19.23016570781848,21.605244405095235,24.812655717358066,24.8793803701316,28.469442719435975,22.09722809673023,23.823893799716657,23.000105802062656,20.9614554429794,24.820012578961077,24.245878656683423,23.720561194020735,28.528055226105263,27.67899192845897,29.75582428618223,31.735857467968053,33.750130943068505,37.650087008711346,41.79020044224728,43.97079930430051,47.838412736958,51.64430928217074,53.104459885361294,53.58283816672079,50.35510317344863,46.296369098905295,44.21662322524009,39.90269629729908,38.28900645116437,35.76688757583607,36.33347586160004,34.760985610041864,35.81072586911422,40.48646007297564,40.29617055594918,40.83948256186674,39.54049699750912,43.280225439925054,44.58737880139128,50.13898661272642,48.637693200181374,48.5944140211479,52.87499441453213,53.68234770029077,55.24452614860655,54.94742138616709,59.16206120337313,58.063263504691164,54.16195946690653,59.18629510237517,61.22345328631233,61.39290636446917,61.61504759841848,55.38036932399966,57.058471583733315,60.32663973546214,58.53975591851957,54.344748505807054,57.18082361984919,60.85151493436713,56.597959246400336,55.64809022574119,52.50735441202211,55.62318536652516,54.617754063088334,50.33986895651806,47.743476318012796,43.49072142398454,41.88378430180436,37.814566049805784,38.1761772390635,39.52005322271964,40.08320346344164,44.68809612056387,42.479000845242396,47.58572343015718,47.92057043838455,48.65627742885315,48.89462230296811,51.41217610926088,48.986521798155586,51.39401213306876,48.49804731837623,48.97008179968163,47.442800939851296,44.46906284191924,46.53166083009293,44.616974539872594,45.20728934083875,45.01905105273724,43.06923289279153,44.543493050002034,40.37485297445866,37.15494056427581,33.48641051666638,31.850217763188972,28.87466196348323,30.386327282321105,27.818551784045965,26.225563076977107,31.926031754926083,31.118200886036124,35.75691422482831,34.75939991967009,40.34807872668566,36.636528685238694,38.826508032113004,39.99530210860684,36.26346252338624,34.169500527293486,30.799397332620625,32.29290963373773,28.451626609876936,31.727154216015908,31.047417892920212,33.7383315668596,36.04622181277641,38.818590745903094,41.12003640757049,37.207832816129304,35.332625435965575,32.133073795187215,33.084676172585404,30.784475215786976,27.90194202022456,31.806137541601725,28.73741521621691,33.08115269109771,35.139795652922004,38.61832194345858,40.40009403581766,43.42605087891732,45.62766202789676,44.16187717846351,42.946314500906816,39.273663769508445,39.078663399453106,38.26457219701001,37.53909750828548,39.118688751229406,42.286515825298004,46.11841586251163,43.55730810017141,40.976056229599976,42.78767406309389,39.12873612286843,37.07699545460212,34.00632272107718,32.721356778378194,28.24603955411501,27.584795843815304,23.30543509264841,24.810237964799853,19.320839382881346,21.96308614581107,25.891715777193117,27.271037428232862,29.423472621572667,31.92679398394331,34.08319672358847,37.431292665557955,39.48693362111405,41.28528083904737,44.377648013920094,46.67333587350494,46.63178870555502,48.21725053772571,50.97176117550185,48.43157663524816,45.13360130693983,44.33224668366347,42.1254819878492,43.58387833422128,43.09314280214073,42.10889027059155,40.76202030652454,38.31889474953326,42.228249033691114,44.48762278385943,45.253577578329505,46.74871883814671,41.89507648477419,47.465199132282905,50.8154640868555,48.96209562533171,51.57556726986292,50.22430825243198,55.33764713672003,54.075985580263996,55.97569353708968,56.666193665072285,53.52460752302795,52.868564585937825,50.32502637731078,49.930213080074,49.82610368044867,45.16941340236312,44.78466286080442,41.88522350970637,38.725628709959224,39.70641002686118,36.012102049823646,34.1552701859136,36.16556073570569,35.64758770792947,31.06284284305408,32.1951587040069,33.83302763077243,31.11534649688864,27.60881656274602,29.73561841401603,29.725199506981294,25.218559793394384,25.733464397931286,29.258957962568374,31.869671270328617,33.02128768543475,38.45548891476244,37.22622966814516,37.867218651773335,42.883643240817136,42.75488391914741,47.30359745445794,47.1513568920201,46.00231802738819,47.70219195033425,45.25077207181702,50.289678459301626,50.109003200672475,45.43911457985029,47.92356039527897,52.507920786617284,49.68279580652796,47.74030250445202,51.329440652562305,52.82200274280148,48.8580579077342,48.12659886273327,43.79861893773312,43.916605644806786,45.452753855299356,42.496872922969516,42.47916156114932,42.36309864278811,39.58828116615358,38.45183129539952,37.65514633252393,35.55007491599736,32.93713439783498,32.94857739212919,31.25833430709878,28.100409351181447,28.151912586747564,31.46226408116197,28.80078688764102,24.932437217032827,29.145249007424304,32.13916722041772,33.9232071138806,36.739446065218786,37.07917575936077,41.44960941852566,39.97833214157187,36.65725012512908,40.9452484085139,42.945830229396655,40.50459772075635,41.09079334864961,46.50739735092652,46.014268777872914,42.452679207179145,45.46521218827548,49.50843973795848,48.4154544657741,45.60758155510167,41.569073063035205,45.998815895348,42.79182693073321,40.62853078255689,36.61870320601038,34.702429906877,30.173782151441806,33.11097547036371,35.408711764647734,39.29912461122017,39.537062410732695,38.41074634193928,34.76548281315558,36.524122202727874,32.91188422059306,29.418924289628162,29.741977415735285,29.112677983284815,26.747294653315343,25.91345370032676,24.970791418819015,22.455261148975914,21.184491532334576,20.781647700318505,20.72132263293351,17.896317467560976,18.049642803077592,19.071663979460002,19.914834576625353],[17.223725932259075,19.44586026550956,22.840767506305706,22.115354534836374,26.17113591245258,20.055446951042082,21.79914802437576,21.723488992537654,19.275416884229593,22.861957932249556,22.592227469529647,22.82234386107843,27.079903791128384,25.672820793962636,28.315617819999897,30.502272106578737,31.977634512879266,35.94650578924639,39.722211210262294,42.18101747468111,45.91699048111404,49.850387562493424,51.06151526079114,51.33103878589951,48.158769508241434,44.03014960680273,42.13050751384261,37.86183928797357,36.65870965767298,34.55303914110012,35.30538226320642,34.151370294582975,35.589255118266145,40.131762720284314,39.684449946058194,39.76303013988108,38.6989117027427,41.89222379445059,42.972901263123724,48.73436105859657,46.756581924699496,46.77136569550639,51.15506369494342,51.73523307088195,53.010250079221585,52.596869918588325,56.815336876094584,56.005078746354755,52.137180772517624,57.07048288449584,59.34931150343602,59.6982820801941,60.01131601229083,53.781930672004094,55.777666506314404,59.068912584599296,57.022194447234355,53.00717735480452,56.120631817350024,59.51741113852141,55.16767524307981,54.46909643923692,51.476547527502106,54.28225656977221,53.094881537734615,48.9195045520417,46.0370600753983,41.946810544019726,39.95251753114512,36.065430056376265,36.101438561533584,37.45916696890018,38.42684281222137,43.006715905567525,41.176405728155565,46.58308708322908,46.85057813347535,47.99209336885519,48.137319606389894,50.53199650669093,48.26049991194379,50.523392448837555,47.87564944277389,48.11729452079989,46.22160129915863,43.42921942712807,45.36885297202864,43.915739686783766,44.164507998941424,44.502499180386835,42.280091449741704,43.872867314439695,39.72564568133759,36.71843140714858,32.76003721796654,31.251540392326145,27.902700016647497,30.047625390725024,27.521881303633865,26.7055358565779,31.881299828528846,31.283055636475336,35.49336319859303,34.510775749191176,39.85524247295404,35.93991098444753,38.365914187997184,39.175845390013734,35.293797303687036,33.47709715385683,29.691373652587814,30.895829960309225,26.818307071088082,29.706317778819074,28.92506405350321,31.26556235399132,33.69051329159724,36.13720403972649,38.59437962387257,34.97823716638122,32.79567087114823,29.622848888158114,30.199290658507437,28.0528424958827,25.34311342178973,29.39774669283425,26.82135664593974,31.244936372603377,33.57420623336292,37.3530725739199,38.82919975352544,42.188171385792366,44.10958237239779,42.99216300482713,41.23526011634953,37.405326531012854,36.88377880710691,35.81668065251904,34.816663233866834,36.62867186144827,39.436690927118626,43.42106563120792,41.08435167953349,38.62166057332295,40.71559418416451,37.31148865501412,35.09091412265904,32.38109626971956,31.357630145656174,26.939542671613697,26.826777121314112,22.832102555645715,25.188995790002245,20.23204978900835,22.55680333112066,26.14019534922731,26.86607229466692,29.05783608823578,31.175501172592455,33.18813248513174,35.95027581566903,38.04153857074457,39.307752555037816,42.71477584756995,44.755281178018194,44.287645353262185,46.063410452283655,48.56780933506044,46.04128387516603,42.640834425775935,42.11361314630455,39.93001200198609,41.80355495636822,41.63913243291013,40.92452017496941,39.98488485908793,37.50174923785442,41.82943558881217,43.641672827124644,44.54074191379256,45.55006596425315,40.84770823325835,46.32048270378719,49.5301560396584,47.44417347574728,50.031266179789824,48.57621556656312,53.608410743921844,51.92863430220536,53.996081634872105,54.63999860265126,51.68089579178187,51.00738625427641,48.52443834186856,48.28134747404561,48.220195370173144,43.469606356145356,43.39892865057901,40.45526129689295,37.595060498125505,38.81992097629218,35.41439978341228,33.14236042591631,34.951227148260045,34.92770038538219,30.23691424776122,30.59438672558871,32.687962153037525,30.654307850500473,26.426975507188182,28.366784872406377,28.851379782016217,24.392981661988244,24.136316783826107,27.8529688833656,30.243428585738492,32.0655559129232,36.85145576115843,35.97793576697184,37.03915802098241,42.154058835130186,42.457098416331256,46.8484694217071,47.04817998220293,45.777792906206365,47.6661144552203,45.18862471304232,50.148886983292584,49.75475360106367,44.79077343056437,47.41931588615525,51.84046568797344,48.71826507358831,46.73282079453299,50.32563238158882,51.543932375649355,47.424909777141714,46.66045961285988,42.508127870162134,43.05681668601501,44.85240586788594,42.172955214212735,42.52883011004534,42.847664284603,40.02450049852678,38.399653965179056,38.001915459516646,36.27198845369743,33.19925308629381,32.971131531778276,31.843948062806618,28.729078980969614,28.168423510320483,31.83764131851205,29.5544772348999,25.272243023497513,29.182978756690225,32.49564531875987,33.88886042085945,36.91191319219866,37.12282041681314,41.486193146134895,39.84310164895768,36.090388429455885,40.47184184784477,42.333958605609595,39.65055162777057,40.026356150648226,45.620927111112884,44.86112032927469,40.9830286623138,44.056092592633036,48.209136130086726,46.852297628615794,43.82444890891603,39.56816537880065,43.88171578951945,40.39975788697482,38.57521981646701,34.30875167415299,32.765039086799604,28.08122340382701,30.540014501490433,32.97759555642133,36.86335987710659,37.25280504014105,36.58806517750209,32.857088197108496,34.961539423685096,31.101810657745734,27.907436623071856,28.97086402210217,28.75808980746632,26.618175873031284,24.961430851149302,24.181676380631213,22.35104151927116,20.444994653660903,19.383637441467148,20.08490971461948,17.987797752418974,18.418442067925373,19.697393162884328,20.590071195240366],[16.691638774953166,18.189516547272262,20.92949368142204,19.557300513317184,23.16091651545278,16.909203322475353,18.127225665871048,18.100945169039914,15.23796522337194,18.631164045428807,18.39040751065939,18.89284233327481,22.92381949015035,21.399631942940097,24.19277242767161,26.39824379559901,27.72608189353698,31.719606381577414,35.46150501569934,37.92208415937005,41.65279648094374,45.586707623992254,46.78649819924087,47.04765207147169,43.86813652962387,39.73903535373392,37.8468551276683,33.58094640030872,32.42766891587029,30.437844875777262,31.297572403183555,30.271389418477693,31.921287491176603,36.3898163065324,35.7844837133108,35.67902109412564,34.71009946365309,37.720324844990905,38.77608744485521,44.60778867043917,42.53787794853445,42.50802592437413,46.90470896264675,47.478839133880584,48.74562500851172,48.38387375876664,52.59329565767283,51.75968309757081,47.9499595666822,52.92610786836936,55.17662338134779,55.56983760518239,55.8463480456554,49.623336512951475,51.70379031138414,54.945499031359105,52.82081486740012,48.84873663192839,52.027122521071696,55.33873721132042,50.96248020931875,50.3436120807323,47.41481192437012,50.15441639898448,48.8918547219593,44.73275944974796,41.844271651306265,37.78552045929416,35.78099688954907,31.960653862487405,31.995212823467266,33.50955490494498,34.46007306087482,38.96622342921063,37.153161927627124,42.6749709879808,42.809860476063015,44.110018071786754,44.167314461377416,46.494254589089074,44.28991244409227,46.51534743131065,44.012755280394224,44.221356692964555,42.197811807438505,39.4088322812376,41.25472277035983,39.967613150538845,40.08388126495365,40.65144094174845,38.361822183274846,40.099124387793225,35.97811468938158,33.04633884328937,28.92987563101159,27.609279334351555,24.052625090190816,26.36844798159591,23.85334550532719,23.549890289876526,28.326641483630006,27.999907045911357,31.881615401420316,31.125456911751538,36.422045734198214,32.586033549434276,35.32092375157383,36.12490835430634,32.36009056332904,30.44262911740293,26.543055147441425,27.293055606016917,23.030093018094767,25.733615366610906,24.72263909498266,27.068990255002173,29.41684194224545,31.90852657823253,34.326125951190576,30.69398603971252,28.52895210248094,25.341092749672406,26.01904322742677,23.90385710514548,21.296129036771806,25.547052666305582,23.381027800177016,27.714492366899474,30.26069190094904,33.961408186934186,35.63474046967719,39.08660034166757,40.74944506392445,39.56756626600959,37.678711854849915,33.718218391716576,33.44980161794042,32.07056648421173,30.93814000620116,32.596187317041,35.36675273533958,39.267781087126956,36.8490114059804,34.42231679717206,36.50507287929027,33.09986229737411,30.902111653301542,28.26997650409823,27.429959773431246,23.04590746728219,23.343748370050577,19.388773854228738,22.310818191532633,17.79336559600264,19.621525262941088,22.92622445774521,23.223574529106024,25.56783593701082,27.354265181314602,29.512437555621176,32.041594792739026,33.97151357846403,35.20797828899624,38.62337396378211,40.75610040683413,40.31206757224628,42.25247810408915,44.79454656083968,42.43417874219853,38.92741810986877,38.418099821502175,36.059371575115954,37.91011914754853,37.75181878806532,37.02477366168064,36.23936187940042,33.625984366939356,38.14696136490792,39.78347326498583,40.82203367545718,41.71030513920536,37.20704019902693,42.71026751879632,45.886618061102325,43.68207332050299,46.07944954992014,44.49433378846034,49.5533002932654,47.842811796427526,50.01922670439726,50.77405417717003,47.8594424446626,47.361313705655455,45.005387532512756,44.93151616783384,45.10122997040301,40.40150401350001,40.579816775845465,37.885721059850916,34.9858076837127,36.681721835964325,33.30130100529933,30.75574620187381,32.91477283354973,33.28042182748656,28.47561536379926,28.69689353553247,31.28521094981262,29.613192494525983,25.139533586183386,27.33497954503735,28.31106496857879,23.833454079347373,23.39402977728904,27.569209129043074,29.56582049499667,31.929422367870664,36.07418370801579,35.080173993092686,36.520593359094214,41.508628131037305,42.251312335913006,46.23636249163703,46.378257720129895,44.747323517956474,46.48144541762985,43.693817865654,48.58160176413803,48.366127072895225,43.10425416934042,45.525192162830805,50.01940298439517,46.874806060295484,44.62054209469963,48.03228906171763,49.42734981082669,45.33553794706401,44.08249556873773,40.22825577261278,40.569006140591824,42.608483304474376,40.28912183846841,40.622916581974486,41.359366326171966,38.2028352335086,36.4587732069282,36.6713256540154,34.93403378213271,31.463300147218334,31.554727515237612,30.927933321123394,27.822156360109712,27.156091330807097,31.29123271697657,29.37617262407014,25.04047318089603,28.98182720781933,32.51146657614436,33.5309824893606,36.35672168657654,36.09767527820709,40.522614151278724,39.21771196146892,35.042061368223195,39.1706185602773,41.29567317905165,38.61968873993673,38.474531264008135,44.240398095351765,43.72090854850275,39.534426470378065,42.279137809559806,46.728791107613766,45.5237861079117,42.30895257133865,37.99819686574321,42.49698119237686,39.01331560398895,37.600676344153584,33.003876336169164,31.338897845006322,26.523181168521504,28.882456886890427,31.064181795159797,34.95426509618822,35.041664663014316,34.51190180488402,30.3385700220209,32.27803746239122,28.095250967286695,25.380213204909232,26.48153543647395,26.76191759049347,24.35504330232347,22.387672815199526,22.353605417471368,20.780689520005673,17.903509700585087,17.344784468086132,18.974482632672633,17.27730954642454,17.768637760800228,19.19941353371632,20.162092942605685],[20.32256837638975,21.498492438322593,23.96859879731412,21.68883570126874,25.107430027792958,19.072947006653305,19.47554646765962,19.55632847341998,15.77398635271092,18.180871388729788,17.364108112761315,18.429184535764517,22.297975829676478,20.00658190437076,22.554430763002987,25.181319298639583,26.481442153209425,30.0793609434632,33.528109576406614,36.38439206225959,39.87010709157236,44.01390983394807,44.95904477334675,45.319788752213235,42.37555261824067,38.11066570962559,36.634068792679855,32.42767563696408,31.30026137918168,29.646708615092837,29.698145185971093,29.49090754513518,30.917048711659895,35.10673653540495,34.787859024261174,34.505402327903184,34.14385901355765,36.89265395038857,38.10310751978638,44.18127059525161,41.847655592106165,41.35593625101972,45.773356367457936,46.488963771060924,47.62321322655493,47.53350962828558,51.666416332065516,50.8364051529213,47.38483874197096,52.486936950887554,54.65600736327643,55.218826455716226,55.26468450527009,49.116735960978154,51.407046231100544,54.32177015884779,51.91483522834326,48.034671488531075,51.210190732790515,54.285808905645595,49.61886514613982,48.82481494276246,45.81657174572159,48.239931862618775,47.15884253216669,43.16534063780486,39.78653979477636,35.831649558593156,33.445266451056895,29.566130534041946,29.36150730189921,30.472493221465175,31.70874228349038,36.359753233031626,34.944061567496945,40.45030982219082,41.02914518393601,42.44642829713739,42.83250368042969,45.393449972262964,43.605076982771564,46.03069140982526,43.9657030269932,44.34540885681545,42.138549906676964,39.160616057680684,40.48826369294038,39.36960231036696,38.85629442892181,39.376992836320014,36.68165098969822,38.036985032042786,33.948011829997235,31.28603340852833,27.263058842964277,25.584841902000434,22.11839527945698,25.30259892073875,23.324745706178167,23.872080668953974,28.33213789697188,28.95734267996418,32.34563528823393,32.34474058633454,37.6890759716789,34.144363669847884,37.30771818144907,38.16473297391882,34.60088043009261,32.54932257702063,28.58901026602699,28.590235662826732,24.03719098060577,26.181552187543396,24.343310509295033,26.481011822548336,28.34518541705698,30.722331192720212,32.50309390146135,28.962294918693857,26.707701368831998,23.831654292075108,24.86929337651991,23.323321471432298,21.371409893849325,26.113239905134726,24.963599053908496,29.07919962315302,31.971170432428874,35.532799571361856,37.43085386116502,41.02485512763856,42.271361833901565,41.025379727319006,38.881886920018616,34.69911912754333,34.71341426316394,32.688402910760075,31.067275041320144,32.50597456782472,34.71102791558166,38.428819176379804,35.86617409207927,33.78848057901593,35.91521040264436,32.50589500514911,30.499420701233724,28.18104423214459,27.927274939330083,23.689156957060238,24.76873422139756,20.721556849250877,24.096317194134482,19.726392687907097,20.632507986928417,23.864645303217166,23.721066153120823,26.623190539808395,27.6896660835933,30.47246287722998,32.573292309682415,33.913507060147175,35.12078177871791,38.52878677345464,40.93520911518562,40.38309394883806,42.78393357624493,45.23083000406574,43.20148829389015,39.4799497329051,39.182998876860914,36.513984457295855,38.42016343042668,38.27759781746847,37.43273322359677,36.87323408081424,33.81524009283997,38.57248116814609,40.07373510430511,41.469405592609,42.27089117503098,38.24883235990563,43.796266099145484,46.89769762259968,44.464493623409986,46.37586961955755,44.38792544668892,49.51426430563522,47.63239937434074,50.166950551820406,51.16900620034698,48.42734580145552,48.27557368239784,46.174072562749636,46.40165480754747,46.889435513322525,42.26374312777656,42.80785289441886,40.372508475599304,37.53759496268177,39.669421319804954,36.375041325972695,33.58463453361449,35.94412534802612,36.67207352523062,31.83409438631022,31.740233128644487,34.72382295227672,33.4060438893577,28.709363311615984,30.89562897154197,32.191007418556175,27.78375152348806,27.003075268418883,31.28593651759331,33.0641603819749,35.82078341933396,39.47971317671898,38.63779949229534,40.34089627564702,45.28964679234779,46.276132964472296,50.081824824117355,50.27712214064953,48.47541583856851,50.14128325293512,47.173599863019284,51.986364315347295,51.86670163996623,46.402953570533505,48.68527340496405,53.185820256255695,49.97898158866496,47.53835612089589,50.78035990743485,52.232312943223185,48.13527595377493,46.49116847055029,42.97765950130768,43.22046979963345,45.49227999844889,43.49987178888169,43.79966990586213,44.813361235127324,41.39723551737559,39.64073716102503,40.28106233169301,38.48090907104051,34.809488032825364,35.16087490935505,34.79787242317407,31.708065090926333,31.03047759242529,35.35161917981274,33.5765652674046,29.25161331774029,33.15170653772888,36.75244701516347,37.615906411308444,40.37920502897826,39.900087373634655,44.332728749453025,43.162701151371046,38.7619233793833,42.75366244100037,44.96397708440354,42.242716277154635,41.78766902523485,47.652953722409315,47.15541845207075,42.73419699224078,45.30886468739992,49.92871132116118,48.680071811471436,45.29196453213047,40.87094246779343,45.31930667471931,41.66451467973117,40.65253494116541,35.829460078020354,34.39989165372975,29.519160690696662,31.43327142465819,33.56874297482043,37.397372797463895,37.41839799864673,37.25560753318278,32.78361556013073,34.68771181085058,30.160483649261298,28.068092223796775,29.297651986128827,30.0083464001097,27.359225377029958,25.190625218602367,25.774417784936823,24.40760058364075,20.83895938024078,20.650680223657137,22.86231251324518,21.373563628617244,21.826132052552836,23.173253157807935,23.96993670493602],[22.456124836144703,23.170308937448418,25.315409615025054,22.069621320709327,25.36324798620037,19.9316537858694,19.716109262114,20.34499490375022,15.99697108350991,17.279080322581706,16.392752810058482,18.391057374161473,21.428623197709914,18.27765483714505,21.03174668487794,23.975675436447005,24.763267130030442,28.060007968275873,30.966798983848953,34.23126847625366,37.42023738564759,41.73371540708076,42.33979838381885,42.61103624568354,39.87730904864735,35.52649639189094,34.46305245956839,30.403504458484957,29.627917145701314,28.553033191204626,28.271187764029147,28.883457803190357,30.444744370596037,34.25362961409539,33.89696041018281,33.15747598304237,33.34274510098643,35.465289642364134,36.58592034110287,42.87037250539784,40.076917548768776,39.34193769476939,43.791188341609804,44.43017034232692,45.2796725117417,45.290748082728975,49.34316449010261,48.70636009049271,45.53535007885948,50.61523059010687,52.867167792895614,53.64980798485004,53.61058212243271,47.56780396811165,50.17810543718314,52.8830644166487,50.15054498433993,46.48985484230141,49.82459578053381,52.539687712472386,47.677748830523626,46.97571497957958,44.06806809292141,46.056701586178576,44.951312423481646,41.17361599054672,37.33929935440059,33.631416853996384,30.752355134082507,27.06588636159988,26.448276433842558,27.325001308986984,29.04270091380763,33.67198415694211,32.81247078756652,38.45997044386831,39.215075644189035,40.9929490283791,41.47962625760202,44.04173220314903,42.6296482823439,45.03409265599274,43.4336830192267,43.750455650251986,41.211238611579496,38.29514788721196,39.197729098780556,38.53764292204164,37.41306288963642,38.30429159372248,35.225501484389625,36.4468405643843,32.48339069563101,30.219187707856797,26.14085939568046,24.45313850345973,20.87183650374734,24.932925186288497,23.39516454121164,24.9674034300401,28.64965791837548,29.93203722352128,32.62232851140606,33.076058558930704,38.15408260469913,34.7457914862631,38.25478975227673,38.91698264107865,35.48004232593675,33.54996701837024,29.425488537159204,28.746912883986635,24.028583661163253,25.43843215262505,23.01935898946457,24.683069526974972,26.239045934647873,28.25401513531141,29.684341610738613,26.493023093353724,23.98944904507875,21.430978060869737,22.421957516963865,21.459996817167454,20.20894634237097,25.213417740349932,25.145269240656265,29.00121185541681,32.21027960358386,35.76242273807025,37.60363409300213,41.41700808754447,42.194966865575275,41.127969800179514,38.52893276647914,34.18143520245638,34.216847797526455,31.619666645872726,29.516603090945747,30.900533983013307,32.44203608635454,36.07294471482148,33.5912861344292,31.86466864722705,34.171925981373406,31.007498615085247,29.057577201927106,27.27395961389675,27.59822242447834,23.677023041748797,25.574078056528297,21.892756200135732,25.88426342039144,22.19488704464171,22.371031991196006,25.120194566621276,24.269357419432325,27.38398943855034,27.702554002039363,30.672234355416826,32.04392409886261,32.99161515912944,33.79171549166416,37.33981999433681,39.7229346013907,38.843251236909836,41.643312499424574,43.8519034897845,42.09328352916213,38.21332488584894,38.225023484194544,35.39455245545306,37.55788007577444,37.635659331077086,36.90879101275436,36.77698072690668,33.4930511902965,38.57293109305508,39.65396081888546,41.333274369339286,41.74723257849948,38.203950041351746,43.62243076279689,46.54540649254546,43.851061289368936,45.40139063877768,43.11276614121891,48.1704724791761,45.93548449299148,48.785276259508684,49.91541405819321,47.42708465939296,47.502342490051845,45.6368765118812,46.1576279516993,46.88987751205761,42.33360249664309,43.300852047516564,41.07500736388573,38.48817716183921,41.02833147423501,38.000733163667476,34.88167922999414,37.249785400077826,38.475368179406914,33.66318073237059,32.98868266793932,36.42808251949325,35.715528833015924,30.652747898449412,32.72555647917198,34.46989192373676,30.241150916581734,28.93578502086929,33.31371613058312,34.750624924886466,38.061427419573484,40.9651077420723,40.36771600394882,42.44917457588509,47.32801545207751,48.712204951222084,52.236473689670596,52.61675514986801,50.62379752001016,52.302543958381364,49.21064901533001,53.87772157754073,53.73182091914123,48.02421833202111,50.24175082200831,54.62286152972453,51.260220850946844,48.67705782035039,51.75523717522877,53.10914672940697,48.981169732408794,47.03036574092638,43.91004656740581,44.28929947858278,46.832703716511645,45.2487391485242,45.71537415653496,47.14499151496414,43.57081148491572,41.56785102010543,42.70908066871603,41.090193545149525,37.10526218123041,37.50892218709907,37.62382386147572,34.626044847004664,33.663078631159586,38.21691457505124,36.7617886250208,32.345569080385154,36.014863133207555,39.759716931441545,40.29806400739211,43.050808413458775,42.33253695960867,46.71183768885814,45.60061501050505,40.8743741110295,44.73170277876668,46.933374964462885,44.11115057108718,43.2987532036154,49.253617808833994,48.68593185719144,43.98394869059329,46.39337709025331,51.158922910815164,49.79756950663123,46.21078442431836,41.67770944644376,46.004622715009724,42.17145932053583,41.66355911882386,36.61293413816815,35.510772413201536,30.629726545254467,31.964538958735027,34.02863407652826,37.72904877097984,37.726233676027576,38.049635764423755,33.38270584465239,35.37419073189688,30.577222845267606,29.167573685926573,30.825037362720614,32.02990471223511,29.423223829787506,26.759300738169642,27.843409887143117,26.999101823339373,22.819378159560326,22.584269870077318,25.47210542238076,24.519530130388375,25.076738930360747,26.476591882563156,27.20864278441243],[28.16188449961138,28.910093993732083,30.673108719138195,27.825063692015394,30.24433076776102,24.401441601293815,23.453954082203886,22.877784348499446,18.311043514762336,19.04273728472999,16.78291434926469,17.913438865737874,21.77465571885323,18.896814952808192,19.904195852742763,22.993628119304944,24.86983752293164,27.3959004059222,30.630474744457707,33.82476366200078,36.909068452287165,41.2266829094779,41.97490715933811,42.808671116494196,40.31112533511305,35.97563380485778,35.11836307009324,31.105665098954532,29.524134641775426,28.103692212384118,26.2594797435082,27.300880186526864,27.82636534535472,31.453838829488216,31.989063244952973,31.858941043854845,32.485388879741905,35.25140459551008,37.01799403043808,43.2110819275798,40.97661389071072,39.4974472311656,43.74409762576986,45.01665309679233,46.24546203509176,46.856269532759285,50.765812367996155,49.571016425847354,46.84530227757352,52.239829547824954,53.91035464030759,54.5824758568191,54.06014403358545,48.134328048456496,50.444559796196145,52.64069657086925,49.99841181397826,46.14477271263301,48.962326462695074,51.83657094361651,46.75752914590095,45.3363339106939,42.043854508457166,44.161111229077285,43.66711882213564,39.93997847456464,35.9943681432466,32.12202597848644,29.5381131620394,25.395371597713538,25.181696053443826,25.414674403279975,26.611845674016575,31.49619756543721,30.43005988077733,35.467601055486966,37.00329542940719,38.19944284582195,39.33731472175111,42.45990660574001,41.37163753322459,44.32135214039377,42.91080385075852,43.871470719925746,41.733708598154216,38.23309773035265,38.625343213131394,37.36802665770387,35.95837870129158,35.81467748019921,32.625013385500104,33.05780724720009,29.07755381583186,26.815408460285404,23.42330509493044,20.894049730833203,18.233663598758596,22.425169023518794,21.64690205959334,23.231719856055182,27.25011886385487,29.566901888457345,32.23535452485492,33.71297677637464,39.25613403286475,36.556745261110905,40.27905684695663,41.58401585335389,38.616486914117694,36.05522833212301,32.46871912389028,31.37769956329115,26.727579803467446,28.217497079240097,25.05330999905456,27.162589110972252,27.811160845668482,30.34213352086868,30.544882143175112,26.886920302093753,25.048255207301768,22.945327489065424,25.219144684952553,24.612687794352258,23.741590486364416,28.88421167834853,28.98977393647988,32.48877694662003,35.65200482560562,38.540247432484676,41.19869689174685,44.653467956682,45.36701902102546,43.614631346053756,41.62134736811878,37.277809425299246,38.257247654808246,35.37805590908369,33.26944812849425,33.900078274305535,35.46616384836666,38.475439440224186,35.376287263508665,33.88571418850659,35.64281145575456,32.00058066451392,30.66891161746092,28.60009829476868,29.181619471777225,25.354077444832264,27.26357149701489,22.988271676484167,26.333688367665818,22.167370864328944,21.49254043419077,24.607909419232445,24.177550842590477,27.974538037661155,27.97277561089435,32.01995768583446,33.86979932433519,33.96718849117839,35.740688367183715,38.64794622247308,41.862485528445355,41.67191753805613,44.68226491325047,47.238275272161545,45.885049596308754,41.943178153190296,41.695469021639596,38.44529767629491,39.884016789854186,39.38448650552602,38.01728134373505,37.482845476304405,33.660301501303145,38.349556807145404,39.998899071628855,41.94692893380457,43.07911435657938,39.92381961856165,45.57212269571052,48.636418298160244,46.04425279698649,46.98185218784296,44.345535072375455,49.62479422938041,47.954589650188545,50.95591691560197,52.50295728779616,49.913714711844094,50.48648145165361,48.850138462417796,49.501066177110026,50.583511662432684,46.265211806934595,47.18057885316581,45.34492471519655,42.3175160571156,45.079835008860336,41.673577581964125,38.815909956600514,41.805336972162586,42.769560224189064,37.948257227905245,38.07320225887403,41.389992261913385,40.116213533522576,35.62728781157869,38.07501475420212,39.57620215895461,35.17263319012415,34.52261688412069,39.00218960608696,40.54228704069313,43.48887240479196,46.80000054582886,45.79134205415109,47.66280713675175,52.427144201532286,53.590042151147046,57.09104174513603,57.0155741460163,54.88956260834096,56.197074771459405,52.82800444675121,57.54685119876113,57.87135202446415,52.24411652729171,54.059919325297535,58.74989786005691,55.73861862032163,52.92705565289943,55.79120589207517,57.6918230744306,53.7740136339042,51.320765623854214,48.33242790653646,47.88578977717337,50.36879881961053,48.81044225289588,48.68703024301701,49.93373793235979,46.00776122851211,44.645179177559,45.867618640349875,43.64412412130126,39.91542850331814,41.01369014025238,40.78496099662864,37.69880101396876,37.460974137749865,41.95527361355116,40.237484812349635,36.20975792813485,40.326716220743045,43.88299767940359,44.68561455437408,47.10125326634087,46.19252111482747,50.667392426880504,50.011715018600384,45.46568138767149,49.05449547657734,51.642956553748405,49.07885294092875,48.12400275169171,54.04250862332748,53.94509315127808,49.335697246841065,51.43983813510197,56.34298949513547,55.360276205870974,51.843671544959356,47.45672090224052,52.02231458025154,48.3932710979614,47.81084877307106,42.773596032109424,41.2664146326834,36.397200196452076,38.1240812035666,39.93719403566559,43.656589682914266,43.29311198899193,43.26595867663321,38.290261365339596,39.689889850256904,34.83151034445463,33.5872659395831,34.286207117666464,35.44661023644848,32.1626429310164,30.365465352812105,31.94302390154667,30.388001117197856,26.10756354642217,27.14920621672877,29.77624340435157,28.141460475745934,28.366829298134526,29.48425975925784,30.047237759580508],[27.720398750348522,28.20868921265799,30.034942621665614,26.2850261184733,29.13016687459932,24.105703188789892,23.154947993239844,23.696548539379428,18.939340339599234,18.961975085893837,17.407170785436943,19.8046314970833,22.354539160924215,18.524563490343454,20.56106848484503,23.855379264180293,24.594555570209746,27.10072527939669,29.470765867493366,33.16842130292108,35.91733653354674,40.41009164467927,40.669170041552995,41.108064144439204,38.76831885666438,34.35323084348394,33.899062178995244,30.081510900625485,29.325439427690817,28.72611743590496,27.31086859627312,29.00234373264189,30.165260928916265,33.436613383543026,33.49674764420774,32.57941359425614,33.557210132968855,35.30874056021522,36.63061907431622,43.04083692403582,40.03368415179663,38.67480584887876,43.030720082593334,43.88304288409461,44.57742921240411,44.98443085169266,48.85425840483351,48.1841176547794,45.55500993204794,50.72290741646844,52.78923109304758,53.75681752935378,53.399426480644856,47.55768196524598,50.353590211716316,52.57949515026484,49.547232980074256,46.055179026926425,49.29178187169865,51.67535123154297,46.50907184873205,45.55154480774557,42.57769083547893,44.10953147352457,43.299997018829636,39.827225193721105,35.40944952321148,31.952529417387076,28.62608734817206,24.989478359152184,24.031369520783144,24.186819182602903,26.296489205238625,31.00429763836451,30.76181761006904,36.20295293637637,37.5839036149473,39.456555418919756,40.39228371506168,43.223435028202694,42.38532067908338,45.01651807190581,43.98982359168449,44.54354654849304,41.87736599760327,38.77442015217306,38.98085000901949,38.51696349977541,36.60853577687026,37.37034901520696,33.83927970732572,34.47000432320812,30.68819677122017,28.909569932508244,25.198055089883727,23.098579909966656,19.957419062802323,24.90865079275136,24.188610206702435,26.6140862743852,29.739178489354476,32.045115769949994,34.098638664745145,35.406286029465555,40.42079084913174,37.463278368432775,41.32584947766457,42.0895526792061,38.96941810950353,36.89535822942174,32.89543067460269,31.49544313396497,26.739319187040238,27.494232354936557,24.22694165782164,25.551529621000146,26.305679583702407,28.099464143138412,28.476694327012087,25.541923688716096,23.0997461535289,21.228197575193818,22.74975514045166,22.647233325287505,22.32341465463306,27.50348930346155,28.465775944849266,31.89673183744042,35.32048831373046,38.55928005955244,40.66573021670709,44.49856231630424,44.830026880321206,43.64889879007813,40.906426746377164,36.4510149010446,36.88666975167417,33.66480585185434,31.104430460593235,32.0888455484721,32.882120539142335,36.09094666982797,33.45081585412751,32.256486100210914,34.48216665343091,31.40156536343001,29.827648670839306,28.491071851032494,29.47870823410472,25.951288414960143,28.50135880673332,24.8980889562239,29.01479480971741,25.596032286815543,24.923324168252414,27.444788370735836,26.226407567673142,29.776270706013545,29.3032234539818,32.88241120394543,33.782154126225215,33.9516198305246,34.76745544645522,38.132583055576376,40.84183095381411,39.92855531313518,43.20504653719083,45.29427918131911,43.99185276494111,39.96408336630792,40.18067057484984,37.04582179100976,39.13202692236761,39.171936677278865,38.28012377707063,38.37279623842452,34.662721634534016,39.81795637220702,40.75431908322231,42.814023006314045,43.17881639189612,40.28530514048077,45.64482018511341,48.44214370006322,45.558954002577565,46.471666929622614,43.732867223182026,48.7862931031911,46.44117108227874,49.67500298526309,51.11188602158809,48.853689498017985,49.36510813081733,47.83486745502949,48.681543866180256,49.7724883295317,45.39945790147264,46.70846436414453,44.817057582496545,42.28370853867885,45.21063337363791,42.25692558880625,39.007018163101215,41.58876458770238,43.078472418076046,38.301003127194974,37.48698394922852,41.18680933866578,40.696612859529075,35.59933444158363,37.692242736189876,39.63437496645888,35.47188159340746,34.03708549943926,38.45840924814421,39.71369361332062,43.260805064103195,45.77744133700595,45.25377917902669,47.51723992185044,52.310686005774926,53.88126414054752,57.21800325287529,57.58570524587879,55.425470342737235,56.985492957146604,53.712381416643254,58.282986252287245,58.28455236853582,52.43747425554454,54.45674806726804,58.845025522067104,55.492385105055654,52.72626957278573,55.58316615503791,57.04536374144104,52.98159986979394,50.60921486841724,47.87745655122344,48.060490169267844,50.78646805216926,49.52895441621616,49.89450105540489,51.54886567026458,47.73234912008031,45.80656955007513,47.32536207617917,45.600175579979854,41.51063103255526,42.20708847100654,42.498374825809634,39.52363574945553,38.64728096197629,43.31220216638296,41.943807588513266,37.60020416946482,41.2838998531253,45.04835121856187,45.48790619333124,48.130312180242214,47.20139382065467,51.57229535163481,50.646005431992215,45.776113914817245,49.446744386021436,51.760321527767445,48.95371756066716,47.84896445870848,53.8372629468946,53.3602737637268,48.49763494502387,50.67820662757525,55.57966311003171,54.244257943529114,50.53912176737704,45.98299109612011,50.24460311915728,46.336166696710826,46.199802279434934,41.02354715292424,40.08054945067152,35.243738535459734,36.2323818958799,38.15993002468349,41.72538477731609,41.60347474600781,42.209274415591125,37.326388412847265,39.16073059718095,34.169488702025696,33.36608895928265,34.967790674613134,36.49406645681124,33.66893942201755,31.015925227883113,32.60242705157623,31.826219703466112,27.25901940632785,27.45118388109706,30.618229738093486,29.71129914789445,30.205641602869047,31.516573603034367,32.13071621030087],[32.30566511812643,32.833671416759366,34.58500214219277,30.81633640998708,33.39651213638263,28.382581832447148,27.10996369700242,27.31399318559185,22.456673167424764,21.981580214753855,19.862576459469373,22.055518844715532,24.605554534915882,20.698401614286574,21.790523430182237,25.196884666506097,26.231957045169313,28.02953678725382,30.14026585703999,34.00313512158729,36.421646112057424,40.96726941596473,41.05605944799643,41.756262011620294,39.744809823618155,35.357173474358326,35.311206647349,31.697657037199217,30.727653288019205,30.264790253615264,27.790257208366327,30.138779770737884,30.722438396066224,33.595381571923944,34.19056240961113,33.40302444837783,34.90494020403464,36.656310676713794,38.25748386202419,44.63686511312228,41.71286161912881,39.822935028347594,44.020662448983,45.168064129314025,45.87477827532645,46.65786539019939,50.35775129282523,49.52542278293008,47.33073902528059,52.591527063753006,54.389317218467596,55.4182712251625,54.755013026561876,49.091382788255636,51.87216476589664,53.68474967186062,50.53982501629291,47.10466734505636,50.10203238539713,52.34022774459124,46.971528866003275,45.63972835140212,42.52381988496825,43.80875546709689,43.3891479464543,40.14951664310665,35.39732342888077,32.09505352471057,28.6459921157624,24.978397885975408,23.954071733508187,23.365518955724774,25.534109903678466,30.29478104312377,30.395724142211044,35.403480943068466,37.43611661149898,39.13559437068009,40.54995766276246,43.693310987212946,43.27294845489781,46.174541261884954,45.49158908387759,46.354958231740916,43.776725807474904,40.43716008524516,40.14087381003771,39.585155089702276,37.20144864541443,37.523882486692045,33.74829995221484,33.72254764184952,30.107421061859117,28.652211086616695,25.490518072216876,22.908483249376257,20.471052257796313,25.74896634602807,25.668814742244184,28.354267024088816,31.341235561816887,34.33761400100612,36.133687588550075,38.06786605714909,43.16996008545289,40.59937031626004,44.61868248150892,45.59813820302465,42.71366140159695,40.42952241772845,36.630170053633535,34.91167197042193,30.20218976288688,30.75245734917674,27.023709583281562,28.296541121792618,28.432196801900893,30.210932581086055,29.681731682183333,26.83219226007947,24.680490972759365,23.347615768967263,25.39567335854752,25.750303834308518,25.861075190244478,31.062268659871542,32.38316266286174,35.57928591017045,39.04229217265106,41.98896341756184,44.38876751271107,48.123957183848766,48.2777138834072,46.87723677462916,44.254572122508115,39.78549189915219,40.593675490769535,37.09067159896319,34.36933430664574,34.99784230237765,35.43424356284523,38.238080461410505,35.39952128100158,34.552032783084286,36.561640097148306,33.43123026335452,32.22631498595896,31.02162388484595,32.325267262484715,29.004886588751237,31.728624319958904,28.00158807934416,31.89867413877847,28.396680478635016,27.261555256537363,29.810951047473665,28.63703554333605,32.4962324726821,31.657311866585566,35.74273332696195,36.596170449520024,36.19883668332181,37.283984181291665,40.35470070854751,43.41586140699565,42.66871248342436,46.18745412304965,48.29046154437573,47.29196578459246,43.212392674239396,43.45609486629378,40.11605467781031,41.9684464157257,41.8349701597763,40.6978573973253,40.760817077010145,36.74697207012773,41.756553544572135,42.80481889661894,45.091856054774595,45.64906334325153,43.150508565758926,48.521651039026374,51.29352591679641,48.37375615459939,48.83026240730089,45.80221287498323,50.87950787658228,48.64650797382278,52.08671488306393,53.769111525966885,51.60390329006876,52.43224596903599,51.10805979838515,52.11522521331345,53.42660648824058,49.18969640200839,50.60023704592232,48.91066147900468,46.290120391978924,49.37176925658595,46.33933790849999,43.12943350797507,45.90913140808233,47.39093435304159,42.61472057083392,41.953920790334635,45.675867244212064,45.08258511371032,40.10590878909479,42.27363542678675,44.17809079974725,39.968897414708664,38.64755211729611,43.07839818517982,44.35404875823728,47.85406498309593,50.41621964729008,49.84754151554628,52.090513095321974,56.86251383921832,58.39665952762106,61.724140452457746,61.98575310932141,59.768999536162845,61.2132738223657,57.82904763042639,62.39270747597488,62.55152738628929,56.693237531609725,58.56195619691055,63.02834555945958,59.764550870175114,56.896570806853845,59.63208510082059,61.25453000539045,57.26009990813802,54.647668817010675,52.06882964599184,51.991473771107565,54.750054407173735,53.5826584050091,53.75663110045023,55.400709541213764,51.42882684904984,49.71556907944875,51.328156091582464,49.3971765747524,45.3749106184675,46.32266069725473,46.52619349640016,43.520982626601096,42.86915778334126,47.52425402209604,46.064342743210744,41.82443490641254,45.64312548210328,49.3588949877536,49.880827475442935,52.43807533234684,51.44135054336165,55.840707475009914,55.04940460089337,50.20636791863494,53.788186286837835,56.21188328362835,53.46134872541267,52.27515250847426,58.26309936960357,57.898271018101774,53.018631737777916,55.087364372116525,60.049057125413654,58.784485817785914,55.06185848111729,50.521928512963605,54.79120535888504,50.88261736156031,50.82198381146537,45.62689216930444,44.674127615528164,39.84527055008335,40.80890845127926,42.67725425516471,46.20486878724344,45.99874413360761,46.62290295364528,41.62801526101214,43.286995024325144,38.23785464524372,37.62786765265139,38.97469375688555,40.5484455931449,37.49146154573212,35.08879295073932,36.88107209901485,35.911800439140954,31.274616952747248,31.8447497808587,34.96149082365839,33.84266377188799,34.229383412673386,35.429474205108676,35.95620537694881],[33.512147505699744,34.525550272622695,36.74637618912531,33.47407166558211,36.4320798990659,30.96303103676528,30.121093811138113,30.004290769311126,25.31098622481441,25.518123055212705,23.269112617828462,24.835338400304146,28.147960167967373,24.657821201956313,25.459572862031184,28.773071226324596,30.30704805404549,32.1729327089722,34.600684653221826,38.30268497975092,40.823945894505805,45.31870607926502,45.54827180063259,46.38522996139064,44.34838308743828,39.97636843614444,39.79893841439267,36.0895665741852,34.81997224291182,33.962602640366356,31.290017359700283,33.27835150696838,33.45962136294955,36.526323582039204,37.45508296340196,37.097397627514184,38.400167625223794,40.660394158594976,42.43038497753809,48.73707194513425,46.100550208487476,44.19789727769426,48.36274014188831,49.65547551875943,50.521689074375594,51.33414998064121,55.061844407046515,54.09541026263072,51.83385984092256,57.15879935687175,58.864967932305255,59.78700903751843,59.083557274310444,53.37009861945422,55.955003522596016,57.771835690894925,54.78489425296771,51.19822583064316,54.00257509252038,56.44982157771582,51.09984220523621,49.51571504795236,46.22614101996009,47.72285001043034,47.512087933251514,44.20260539174182,39.58495563316813,36.14258811789803,32.95541838791828,29.093550736954594,28.32404126570507,27.595426408136134,29.455155699757768,34.290018926961054,34.13202382092619,38.82354932847465,41.097744471757714,42.406232563564174,44.021221801080046,47.35618417348778,46.82660763220085,49.89470647142441,48.98309051673287,50.02605440823649,47.6914605156065,44.188048030957596,44.023373621001866,43.06004932151776,40.926324599280484,40.71285920859361,37.09316405101991,36.79716212766993,33.11891580371855,31.445180024077338,28.56554470411466,25.650016760568743,23.581906283338558,28.39574340399696,28.22030328565766,30.183155900979784,33.90811976975382,36.709709013410915,39.035724663715015,40.85654783421847,46.27444671551481,43.65273894455815,47.485310917823696,48.649337054603684,45.64479566738131,43.23581960945734,39.50644543063217,38.21570408952506,33.504169965941216,34.521466472665956,31.02522240951392,32.593204940094935,32.87830406368935,34.861413083327925,34.398870519840585,31.33645540988198,29.3176053883171,27.81964096346892,29.917918848534313,29.97482658018426,29.679650047915295,34.88906351657877,35.5794769185862,39.0331833464412,42.35567523233878,45.3605468166903,47.81228197783051,51.45493535629798,51.91868805168533,50.38166236924264,48.0236434911249,43.59409263180298,44.34496325114055,41.13152260935083,38.60489642089499,39.321955288926056,40.05502009229806,42.936910101571385,40.02753499477378,39.0253482231315,40.94596470103979,37.60897624678398,36.40145897235162,34.848073619306035,35.842027982291135,32.24214150310981,34.48099872196218,30.346422477448495,33.7570038511098,29.530250419972173,28.78558409404412,31.86146197598124,31.27329705731246,35.17057083475425,34.789641380348584,38.95884294267365,40.33322448872458,40.090656954549026,41.495320442950415,44.48194213919681,47.6466927085972,47.06662476677974,50.42087416065035,52.6460454801933,51.47966743459383,47.44180240476518,47.54822765511581,44.26844769155053,46.00017709602523,45.706143473884225,44.42382441407539,44.16449849847873,40.16412275948108,44.943202618198136,46.37952141036246,48.55129402634954,49.451086001577806,46.66412908256471,52.18955194537773,55.10509178057746,52.32275424960201,52.942201266705304,50.016048468899385,55.18314073745482,53.145593773937634,56.47032562692585,58.11589846775908,55.80562297333783,56.52373948953924,55.053317824278466,55.891322470823575,57.04484181439761,52.70949449357989,53.854482148437285,51.96204786319337,49.17799324228484,51.950753128262384,48.70895428310968,45.713050787953215,48.43108645774699,49.54619318166023,44.71422893992914,44.3676229514641,47.76278888963675,46.72384722293083,41.926761147636846,44.08131092149404,45.619912201460664,41.26749558206285,40.20001943528235,44.47100690732796,46.08402372320773,49.170894392727625,52.368343985083044,51.76549351462697,53.703267805281286,58.61741340516391,59.768248827031876,63.45145538782534,63.64251113888603,61.654874913858215,63.149148948696734,59.90337970695026,64.6164263488562,64.74663674156687,59.075060720097724,61.05619910028192,65.61406916846661,62.4142199866953,59.68038871404917,62.58552713137988,64.21851938021811,60.18470164101683,57.860957700267235,54.95618212754293,54.85526267255454,57.42248118922719,55.90358050776283,55.95036746197746,57.214872957947875,53.36659214874924,51.87571066709193,53.025646871712766,50.91043489158253,47.17728250634205,48.058976059296434,47.798050655752505,44.69266329502755,44.27676234500465,48.69221448596935,46.881750006165674,42.69170286165192,46.67989506752586,50.25972103725651,51.12174481525407,53.779315962992584,53.075588494624675,57.52899504044709,56.5790511010662,52.02410099909383,55.81126712013977,58.16702230009038,55.43150628742967,54.614425008567224,60.56147049739655,60.117782890433986,55.43642989713951,57.750813822802904,62.57704360947231,61.267900086720104,57.66484071133568,53.1224410821862,57.395021783155826,53.477767974809204,53.03586311877962,47.99762622501777,46.98521662140336,42.103867119434646,43.333246421679796,45.41031948340251,49.05719824394115,49.012029116215224,49.401907101635295,44.56783302457233,46.28451633459463,41.35755224462959,40.2360026104833,41.36304397018423,42.5503430450245,39.43659214852081,37.38555277868993,38.748747305381535,37.36986654394267,33.20454306706003,33.695983334467876,36.27686226127799,34.70419880646984,34.98361490313353,36.081641912299446,36.5678049843768],[29.475304079260663,30.602651847845603,33.101044591064,29.85563564804543,33.2764382727328,27.873230792210634,27.487499004848758,27.78318274553947,23.236489503964215,23.933715041873487,22.239781288583803,24.020662479091555,27.28886653935816,23.79701295219315,25.453957188732083,28.709398121071782,29.891655363301822,32.33056812611245,34.842412924986995,38.50108437021946,41.239154752707485,45.72951235513397,46.012197508698854,46.5664423684313,44.29160375717913,39.88154342868619,39.439333535076216,35.59234553109237,34.61060501471456,33.72545013584541,31.958670686364602,33.46896463388642,34.185224190575546,37.576102366556796,38.02231538033803,37.47782329717991,38.37553338828209,40.533790633011336,42.01022978954303,48.3712411169412,45.55432301355696,44.120684959444716,48.436739211754926,49.41439491668318,50.17613349259149,50.62885497867362,54.49118284108863,53.76293379156466,51.14330542087888,56.34117822101014,58.35230075295407,59.268247145479364,58.8569255220395,53.00155242728219,55.666921226497045,57.852669109955784,54.90429923781175,51.31679496262813,54.38468681861531,56.892514993659454,51.68896159750703,50.47447047434745,47.33416586268339,48.95000157305097,48.37825736119796,44.909488081067735,40.47060914336719,36.95509981611174,33.73104801723789,29.946322795974286,29.102300964794903,28.89336816604946,30.888519627893807,35.69657700340579,35.4005539962176,40.516127901193094,42.26761436709632,43.80552865449514,45.01319741888849,48.06589514358263,47.210677305970535,50.016345128095416,48.83803875924915,49.56254719565497,47.09516246733108,43.845130547994025,44.09627878469006,43.29339800881401,41.502340358825684,41.74891900623899,38.27373244850381,38.52277919928356,34.707422499939966,32.80926507686923,29.432314935219676,26.909537102186732,24.215889944802463,28.856117081308067,28.125783325050584,29.852525658465762,33.727019196237926,35.87663463000096,38.44514389205757,39.65040838133094,44.957997584708764,41.92762457997941,45.58633372861759,46.48601738765178,43.2072390174609,41.06685772157628,37.10407124809146,36.16824795664316,31.42428697331944,32.59098028699774,29.547866741869864,31.052530903205312,31.889589121214136,33.752194880250954,34.06089386801289,31.056480943806573,28.71281452445267,26.82870135293316,28.345271235862263,28.07731260427854,27.434469238587507,32.572229045358,32.935895719917376,36.63645048110577,39.91813325088161,43.26477684258373,45.332452414046664,49.10851352061235,49.73071538019257,48.48884330621327,45.93507679460179,41.524054053306244,41.799331895988395,38.855515475232664,36.43487926192886,37.55459700757932,38.46643954545669,41.73550662035814,39.0956297903826,37.84776303927231,40.0259711134424,36.81634155838715,35.256347637841834,33.66984517805679,34.39654344526427,30.620398705741383,32.68352904758832,28.674853751508827,32.28256881935232,28.037365305291058,27.835142210857118,30.934910425942498,30.317903859199735,33.90737249385793,33.874301625303815,37.52524891452849,38.87427781473058,39.16912612710314,40.20989505111849,43.518325469405106,46.28345364378369,45.4337710287544,48.58580052669283,50.70701601074581,49.24779413853843,45.2664957905533,45.42528354863269,42.38483400939639,44.42876825965152,44.366119668259856,43.366827817577196,43.18787800511225,39.48099032413502,44.427370799611204,45.70793292499631,47.67515203808642,48.3215600019263,45.17922919036191,50.65729040820196,53.56507468593631,50.78959840094855,51.84058618167132,49.16959786195031,54.27711373397596,52.032282866271046,55.197878766395185,56.58944941266587,54.247246350397695,54.64157442285401,52.97979603110496,53.672347569245446,54.58074969786793,50.096323169772305,51.15850747983139,49.0099201834804,46.38396985508979,48.940119478771784,45.81987634628927,42.77745105126109,45.18008581347415,46.29772386399698,41.47038339784364,40.866087506735255,44.19956646524588,43.29041609274888,38.30982651494328,40.28837692798669,41.825916353112845,37.53123449371327,36.259646940590365,40.42489617040795,42.0752759941425,45.19620655258055,48.37708139263554,47.937780035000074,49.877407896018326,54.864782509389016,56.017825764150864,59.79067095490602,60.172309989044756,58.312433399624894,59.99647480049223,56.93092478943828,61.655900498343,61.5470486983762,55.90467238596099,58.11129878856197,62.53959862937443,59.19901493265291,56.62436181252128,59.685346039346555,61.05752244426256,56.92212373827581,54.94356075961128,51.86610162728314,52.15334421314375,54.6803136859519,53.03850124952997,53.340200701019896,54.586084132735195,50.953901086753,49.20637464080279,50.1819902303129,48.319137473534,44.53914056908657,45.064928190366196,44.84592682816463,41.76048974981108,41.06476025974761,45.43782864491722,43.670885307463585,39.31909814253787,43.1340317920157,46.76065361402624,47.57918403622887,50.41160145712924,49.87447261152934,54.28852588344259,53.08486280276895,48.534990360440396,52.49313669598572,54.64493563621361,51.804509773201126,51.16205126497496,57.096173934996486,56.41943016731191,51.77249492717737,54.291642021062295,58.99872027209085,57.515810916869164,53.93311624199465,49.34632592590463,53.5109072330042,49.528422654856655,48.99514349483688,44.02018275316966,43.15435235875968,38.279588275729715,39.430233041867986,41.66330332738698,45.32673161454848,45.48457413776405,45.93862556582084,41.31709957161776,43.31127078828944,38.47617812209549,37.11107047376603,38.598534508237705,39.685309573532855,36.87809775073787,34.53752095118958,35.54544349854469,34.37488300652129,30.40179805245537,30.31615529632239,32.84092992613204,31.45422060239726,31.855478750150965,33.059040600032326,33.614764153889446],[26.018903744269668,27.38021396334545,30.055431744073395,27.38767892068495,30.930540393952484,25.13829190404967,25.18370559506125,25.248929246769602,21.034545318256477,22.565125779153377,21.086375330461305,22.37788980210778,26.186306521980402,23.25841140588318,25.13648678699264,28.159350884291406,29.594361474170576,32.52349391229427,35.55589333724057,38.86346086326226,41.964450755334845,46.32338756706505,46.936704164785354,47.46972831132196,44.89851405749762,40.523500090746076,39.61474821596152,35.5636037857532,34.39554516890777,33.05660009502828,31.901760029442922,32.62074890583139,33.46848017406613,37.277637655202966,37.54268774414604,37.2601549329371,37.59578003236945,40.19279247522733,41.642071265988804,47.887248306973376,45.36778264214699,44.29164611506311,48.65589472082442,49.592350008690836,50.57443478037138,50.82729733022124,54.82252849814538,53.992253030018055,51.00533206071072,56.20899292513838,58.24768263829657,58.98083633202431,58.73394448649972,52.72583083089153,55.169440785484966,57.65773873950874,54.982304389636255,51.20284696080377,54.25092402650025,57.081521088220626,52.0835320043547,50.94113723926777,47.773806500784886,49.81542911601357,49.105404742705986,45.37190310941349,41.38885833657565,37.60826437426058,34.790927403196704,30.844202976334525,30.344702797237797,30.637781451470907,32.23154484970674,37.06227695204126,36.19931901274991,41.415515186186866,42.775511546178365,44.132099465539504,45.07998699149751,48.018517152551006,46.740720604771134,49.46873410197902,47.84571343059989,48.508266742124114,46.23461152274738,43.01399880655822,43.7382801641182,42.64967994513506,41.453166921535924,41.61354456348523,38.48958949448505,39.10590623678825,35.11688396563607,32.805116092106296,29.228605245193805,26.893056990449995,23.977897168761498,27.946870980906766,26.702065920910748,27.717968210799846,32.120796225605346,33.6336614339973,36.7229559370536,37.43941536803454,42.89084856724785,39.65585428929559,43.05165714117947,44.01644256336018,40.59591558731729,38.43351927531349,34.51939295074851,34.090730107233036,29.422057732662477,31.12497026249734,28.585315407422467,30.45430775580235,31.7217930330487,33.88613429010449,34.78057006409948,31.44352374531045,29.168573581458713,26.828965942686633,28.233194066184176,27.384653161397132,26.121634636134896,31.131065126401083,30.702403404804993,34.64172748644987,37.71776999946922,41.151334969291334,43.18714957603497,46.84591252411786,47.8287079708009,46.52151449938226,44.23946958155385,39.930127987768515,40.10417045549299,37.61355713035036,35.567174301329246,36.82669430786593,38.35704249588156,41.835462795018124,39.17207696457604,37.53809811573923,39.662836704809614,36.27437369003196,34.545479886400045,32.53976187725599,32.79046992175429,28.73598025682504,30.25398155773734,26.064904390081697,29.375017299253997,24.778085460927336,25.12807279109091,28.499659063879598,28.291395206695828,31.657993768656773,32.20491012274607,35.585169077374644,37.42600643486278,38.16539517996542,39.410498091592714,42.72513791493486,45.40898708910457,44.75086835515598,47.55492676541448,49.86112773018263,48.11922193284344,44.25038588063839,44.17401743918425,41.28811333155676,43.221919630171186,43.05732042075345,42.05121943571777,41.596757436500766,38.130535228669515,42.92358222393044,44.44677908425228,46.152823731843064,47.00006767578567,43.409054877616605,48.97900893042855,52.021373716185515,49.43278414837617,50.87765641118995,48.505810038211266,53.67030601044723,51.64837115698238,54.52569641472023,55.75601057620748,53.194251305725565,53.338625153526706,51.45040178806838,51.89725694883782,52.58490490823751,48.015294958693175,48.77004820505113,46.44063144308307,43.66838959912624,45.933834420961176,42.66565021035963,39.82012193173043,42.182716730508304,42.99324932262974,38.156848573267375,37.88875089259153,40.939463878397774,39.68275065971138,34.91408977284627,36.96006112453013,38.23882226260218,33.854176773703045,32.88907494100185,37.01395582909129,38.85625550255066,41.64622868754436,45.28099231823509,44.667817382086284,46.37865895237168,51.39855935472088,52.32032766359889,56.248168315731434,56.520283910160984,54.780876010241606,56.47102512400266,53.50424931601765,58.31583232875021,58.19646093412347,52.713613513863564,54.98560912012688,59.47445444021042,56.22381211032078,53.757777452267426,56.94922007393456,58.363059941468165,54.236681901220635,52.50006422974983,49.13034498446699,49.377963815982184,51.7228072255867,49.80628158293753,50.047002467260945,51.04224244655497,47.54907704846339,45.901582313157505,46.55498966358049,44.63737031628513,41.0347957612373,41.47333477805958,40.99821422592929,37.877652689561685,37.30187445259199,41.5341451894719,39.61351292372304,35.31196622780473,39.22493020609489,42.76937327527301,43.753843682855546,46.59190643611187,46.20124785749916,50.63431850204734,49.38457814293248,45.02890755110843,49.07148911977772,51.216784616178884,48.43928549731635,48.0226717160615,53.898416051562364,53.26691665909905,48.80120925902695,51.4326574541391,56.042832099632555,54.64235487844776,51.192604026987524,46.680635288095104,50.954384178655204,47.10604269236133,46.22765177576469,41.38685463169394,40.276367304008396,35.393110707486734,36.94466581549118,39.21746928554143,42.98619680562562,43.149354892124684,43.26501396717101,38.772930142503725,40.74031199188743,36.08130416726652,34.24986514502754,35.5297816991152,36.3114695995193,33.541798251484835,31.435894130624057,32.11109760818851,30.688824943396995,27.088816684345275,26.95429145869469,29.10722296449469,27.4780296792735,27.843206588708775,29.043169666549602,29.6626707693281],[24.980936578847313,26.1199312361843,28.865987301073083,25.51881547897192,29.460302671525127,24.34816185509076,24.47745395505308,25.410973037546093,21.140679756110444,22.267845526649314,21.367982565719124,23.480383784402157,26.39654644639713,22.924526397223946,25.5665879406205,28.672790489730495,29.307763467169277,32.3082301323208,34.776928999881854,38.36170964667444,41.264742808919515,45.70404667941904,46.00219414351341,46.20896552422384,43.708492905014914,39.313311569976,38.6177199936763,34.70608949856666,34.14572540001801,33.344751840478956,32.64193228838423,33.69551101114801,35.0548202784432,38.67617311792161,38.53724280476038,37.701249587792255,38.19367696731558,40.08090452199297,41.16522274834694,47.531841420827185,44.46643791590184,43.57824973253428,48.01976043626062,48.601392714248384,49.19402023290755,49.226344793810895,53.20074818784625,52.78428214937123,49.802681416428136,54.79556762684537,57.16197205117526,58.094972681716335,58.02450982171453,52.069423334594376,54.852937994928084,57.42457996217173,54.49995742321078,50.9827903313884,54.35752537939899,56.85467506488351,51.848262679339584,51.09849996236749,48.18667606222525,49.855972851181996,48.86315625667409,45.284901070262784,41.058723115402856,37.55937775420731,34.29528768374154,30.728089849836376,29.768162159025785,30.12418985608395,32.276361603140465,36.94157409198325,36.57396284123931,42.10761529143689,43.25286408081453,45.097197801026326,45.827401090568756,48.505357036425835,47.33939863419807,49.79179351233196,48.391015647667395,48.71199467366008,46.05718940727485,43.17078962307239,43.84438291328007,43.32639255080307,41.86427655895548,42.714851626911766,39.40125618003954,40.25218086581124,36.37565893456668,34.33930291276247,30.47640058461793,28.48588455033474,25.1764805298932,29.591290708783333,28.312041534684923,29.905359822181303,33.67967956769343,35.107541747623934,37.77770096762936,38.28729173544156,43.322337977329155,39.85261538947337,43.314077965823465,43.837079299196695,40.27826814725621,38.52566250368791,34.29357068553235,33.70035119595063,28.991536141179786,30.199438868088773,27.726534946951787,29.03706100975869,30.490255964513825,32.11176347663844,33.29894545787284,30.487999606721132,27.799605432029434,25.557215957493064,26.288834902758346,25.693636860698003,24.72135923273257,29.66434134174995,29.771901497512186,33.67733700110176,36.9124276141103,40.63991128950466,42.19765492889945,46.14032485615194,46.867799291411515,46.03073271812556,43.18635525469867,38.82682006890048,38.51331069770212,35.85948916831125,33.54549244368751,35.13552293968098,36.16935916056773,39.842429964432135,37.58124255665228,36.10387890515424,38.57896919318364,35.622809387082654,33.67483599823988,32.16960421921049,32.64177599701542,28.797886914874244,30.73088874476809,27.071665452736276,30.96353060898608,26.987176061914145,27.323455515713796,30.238555992214707,29.456762807694556,32.59853152133103,32.85724198120668,35.81422576268745,36.97613465973193,37.86227285862003,38.374651248045204,42.04376601478711,44.28080442000232,43.07038090494404,45.99680000946036,47.9398289935994,46.17820903665961,42.28386031770747,42.546972149514104,39.81393894147006,42.25067974205795,42.50807923071979,41.89050317638262,41.889761587810135,38.56493018769614,43.69375949877172,44.68591029440457,46.42977448332503,46.68920683361078,43.23560412411542,48.5688824510518,51.40760779614536,48.62394832507307,50.1284402446295,47.74800671934283,52.71873012274438,50.196724409536266,53.1877432895432,54.28347536802554,51.958593033506645,51.993996463244436,50.151831234833644,50.71006332700312,51.35624985763015,46.73709513652203,47.7656189162212,45.362158647419186,42.9963352907329,45.351444378837314,42.459783364172566,39.31663080764509,41.31537247431277,42.53616106496058,37.75453203732771,36.718623252063416,40.053591351767885,39.44782135469612,34.19104557836428,35.92580772651747,37.565947544401645,33.4074967553075,31.77816585120835,35.83563985427783,37.436469917982066,40.71986733475084,43.68833420565725,43.48000739198766,45.508020556318115,50.54211747727428,51.80113999988163,55.586054751261365,56.22745346404494,54.4677347947376,56.369569368631446,53.498098929802815,58.1820888956379,57.786440237180535,52.14447892295601,54.59302198499068,58.82332819898441,55.29859033783402,52.892578212205805,56.091982906580135,57.13277489182403,52.888785248336575,51.26985039557191,48.077994014194154,48.856699106988685,51.37616798174618,49.686447673349406,50.3350484878893,51.65416755470372,48.270432994545246,46.15955899265993,47.0399447626392,45.548495861978395,41.65899062490306,41.75229322066161,41.7160611305853,38.70474806630357,37.588896236774836,41.95014224847615,40.34609054092168,35.79765577086901,39.316293746995925,43.027440855217236,43.691251316315224,46.71015842741885,46.30493183607434,50.63807412336402,49.16130865758306,44.55006600758081,48.65725859734155,50.56239730664054,47.588961525128134,47.06833982534188,52.98457522589969,52.03240244799684,47.37938514566187,50.08936446884632,54.674382953895474,52.98176397989559,49.39386772080646,44.75371360300739,48.7685744807698,44.701118068944986,44.15926176055019,39.225719234827594,38.58288831667389,33.74274360660672,34.69671214157105,37.080640973876314,40.722927583901374,41.10767120683982,41.71630246284189,37.348396796524945,39.6807293789637,34.96353806438256,33.43376458465681,35.445092176960486,36.501700208084465,34.132046804985826,31.343013260079786,31.99131491687053,31.227973400591342,27.425976367063242,26.57177552703583,29.15656262803352,28.172484501311352,28.766909927983267,30.125715227999727,30.78510029264367],[21.193566180135868,23.053003394319056,26.44520970313557,24.25547075790554,28.654211144320996,23.053477205092026,24.1444882650882,24.76454598833142,21.264454512519755,23.693642906919028,23.126973842347727,24.39510626200178,28.064785249364828,25.483504683346876,28.233560586669277,30.976378676003364,32.00771511222775,35.53778694021855,38.62784940435597,41.747357254164044,45.0569762290501,49.30600942944416,50.00294755088238,50.20490733350167,47.37896613024002,43.06725612782107,41.81098922265571,37.68910572005559,36.862828810665555,35.43966736375562,35.41525176973418,35.432425207751756,36.8170681849615,40.93576726006506,40.68133119551933,40.27792561961761,40.03164609240075,42.54956459783273,43.6135407074582,49.75850451521449,47.134170458633356,46.70243354891686,51.161542662568756,51.70590783956045,52.57324297237032,52.34464562183111,56.4605972047653,55.9267182129525,52.48778247417244,57.444070216457526,59.843642765457766,60.526140934292464,60.670177180756085,54.5499667285349,57.00253184547592,59.951875212908384,57.411305694744904,53.65193839990237,56.944339097356455,59.86637871741699,55.13441086092005,54.410722570476466,51.43751547860977,53.63273387556372,52.545545797034194,48.67144663885562,45.01228391740302,41.2128113647576,38.47891798975541,34.718725713941,34.1916404322435,34.98387026229653,36.637815869727476,41.328411653172466,40.299446362505556,45.811130216196844,46.59841598648517,48.11461564789974,48.602006165143294,51.178952024566044,49.48181710304113,51.855774431928594,49.841799913149586,50.10363317459093,47.77096794900968,44.931373514743406,46.22928726054882,45.269510374051386,44.60363329792226,45.19923218893514,42.35814177349233,43.52040555560627,39.46737072750191,36.938042971981325,32.99757825321472,31.140257393776018,27.779859165138554,31.20378379356516,29.299790481420445,29.710167026164694,34.30269276836509,34.747159540058746,38.23721331682389,37.9792993990677,43.20062689527478,39.415095900715016,42.363305138885266,42.95562768003989,39.13186835047718,37.42337813417654,33.29515102085742,33.646330026087135,29.16051668537656,31.19620673148602,29.571841284014145,31.345134593550647,33.36785167865808,35.33328041916799,37.22098611808451,34.04313796837896,31.502292526543705,28.75781174154288,29.29304593520731,27.916541431911263,26.039927406689145,30.62296977709483,29.392278045038125,33.67574234260808,36.509108002952324,40.40594216153675,41.79560204826943,45.54103779024921,46.87753254426762,46.00363069134497,43.57914343538325,39.43758677956891,38.83812225540897,36.97968709617073,35.260024374699306,37.10428749006567,38.95118292380856,42.888186619102875,40.656884788558536,38.690209080648835,41.073298334826475,37.91500133600762,35.76232301693423,33.684924610784904,33.4225974003424,29.216024990698997,30.175909449416633,26.295787540203435,29.518274531662335,24.915931648242484,26.277507461726884,29.6355059858546,29.598980426784564,32.32044863311378,33.519271540049395,36.00468270630189,37.92300451074437,39.46959258973513,40.25675779796904,43.90265097490981,45.97549099473656,45.00431798663712,47.379060558461426,49.528218174879534,47.31716702119209,43.64573466916253,43.59319183590766,41.17442322036857,43.4717542238731,43.59686132917589,42.98350807716098,42.55237663862326,39.62481364400371,44.43389995098616,45.81640057730894,47.14887158761647,47.72231312652792,43.59627587890127,49.01514954365954,52.03554177641804,49.558954265002264,51.66020701056778,49.733559790421864,54.7423780711891,52.52624569203827,55.08740261003449,55.91806652952518,53.300835036483,52.92080520045478,50.722053732809236,50.87031057855239,51.09980371754203,46.34041472494798,46.83429838701628,44.045793842768376,41.51942417804674,43.23704287812459,40.14596371419248,37.38767311032571,39.12677760470953,39.75000968918671,34.997262183464855,34.44237617705664,37.15287232151331,35.925780195315355,31.016797231484745,32.694821422919155,33.753539463959974,29.474691871932738,28.296372925524047,32.0700108702649,34.14149825842793,36.73307878421909,40.630883752788364,40.28215304874268,41.82488658139346,46.98988362557371,47.72977173934198,51.94245530832684,52.50049276237716,51.091652323075124,53.10487945699991,50.53184433007345,55.37120553305459,54.846954907199326,49.55554762606761,52.21999104071509,56.484087872396714,53.06824230589587,50.95241549457052,54.42795960494919,55.41057257336393,51.15205558697576,50.127132999962065,46.38579097064677,47.25311420633185,49.41220282320238,47.17187329156786,47.77872879582956,48.56712270645666,45.54557794249518,43.594188008873594,43.73834182506804,42.2085528920322,38.7300967248109,38.50770451467377,37.90278510295965,34.83835908269413,33.87874848036475,37.83857906241634,35.862700910009806,31.362008755837977,34.970547637638546,38.48814357084439,39.544852914421526,42.7046773674159,42.74490499977435,47.07608851893946,45.33186370860049,41.17379451831099,45.55150954234011,47.29302779910756,44.37596709050716,44.43663515798034,50.19939490161123,49.15118674979017,44.88885158267103,47.94326767638875,52.24321258578117,50.5536901335405,47.233375194010456,42.707642091184454,46.75768091399134,42.85421020920002,41.62813765839904,37.047189033014156,36.16077580354713,31.363046897225527,32.909114292529345,35.50281185221101,39.28696611259932,39.86008398752544,39.95543112557114,36.0055236764514,38.41464616803964,34.107953986247395,31.669121542444312,33.42845720466372,33.826418856096794,31.671574585984136,29.300027493025592,29.08220969729029,27.89142357625045,25.066116012729754,23.790650243159195,25.440459013784483,23.992153846204594,24.546896302029023,25.863545160073006,26.598219754465667],[18.354820715893286,20.505381392985605,24.29898146237681,22.461638415831462,27.300896828858924,21.9581775966445,23.656135214278585,24.60449507206607,21.62911391333569,24.471341159551805,24.420772956389307,25.661117905906764,29.1489244450921,26.811632090213585,29.974323902114378,32.523120720352686,33.31483986952208,37.13181222272739,40.232010159638335,43.20985163224061,46.61860829540198,50.77368493268029,51.5251231557634,51.5431660869241,48.58201364533242,44.33968574560276,42.88720385957135,38.76529272045889,38.13549375406216,36.68516134693596,37.290364352532315,36.9311656623461,38.61218540334989,42.85909518820858,42.30627598132795,41.82827661339997,41.2617780348436,43.70315782629012,44.53787792343114,50.5780681089581,47.915869072980506,47.85736584524505,52.341671084074015,52.659517925782865,53.46620660612625,52.96380385259147,57.128392453906116,56.758049795920485,53.07353245295232,57.86126874631777,60.4522735624531,61.101389948976085,61.469188589515525,55.31313463916077,57.75859573730508,60.96258646325377,58.51235591127288,54.782947020675785,58.200406832796965,61.16102083403231,56.60663541347874,56.12992672639826,53.283425456930715,55.559715200661515,54.25838558709509,50.320699315439136,46.87479444050256,43.086298640630524,40.42934770410817,36.80197488792727,36.276907083951464,37.345911814802136,39.003834000171516,43.58275235713619,42.45934420385679,48.10800037602134,48.560260118696654,50.16635166073274,50.38430541294898,52.73695441073285,50.81152969031002,52.96380480015429,50.743651971232744,50.76840418233049,48.41355713205248,45.818272540193895,47.431282026383634,46.560753767827464,46.19441319997685,47.04479500042592,44.37631267457862,45.84602949589067,41.78157400875311,39.15702093271758,35.04745675714831,33.47648244330859,29.911665060368087,33.01567780762506,30.79037060413932,30.907810664123684,35.49360310891924,35.34437214274742,38.9892720707132,38.1814553096732,43.19878729263621,39.13060016309885,41.793865300712454,42.15152863043003,38.128623581278546,36.717580709510976,32.51011833275474,33.30705170696585,29.007235193429672,31.19338456063938,30.125259214108215,31.81917428473769,34.23728225151986,36.076813323542034,38.50228959906561,35.43619522111198,32.795348355507684,29.86769663897766,29.920931603647084,28.260728836972355,26.066661097139484,30.2965418029133,28.61079553541256,33.02404159254476,35.675413348297944,39.801257867897036,40.794355576614755,44.56086675860347,46.088734194476515,45.47843623474644,42.987005778830515,38.98695809954731,37.94350683627731,36.483581732824845,34.98859685777696,37.14132163939516,39.16865168774039,43.323979727135836,41.35043179617552,39.20835274210013,41.706523957730596,38.70996660263359,36.34493197127394,34.25564124278241,33.70848728910251,29.495485701097206,30.132489407405785,26.536455488149112,29.67552330987823,25.236687038386954,27.101101962906828,30.344902544370672,30.369436008772805,32.67574309394449,34.20658695972549,36.14020489248777,38.06445830797022,40.05513282070059,40.573302411955346,44.37039764461367,46.07730072176162,44.93957644895868,47.039862035697425,49.089008357163664,46.62120907865972,43.09823413194315,43.052024144946394,40.92836290030092,43.409465855606214,43.700879833405885,43.32271218338354,42.91835904413187,40.328093174066325,45.11024684752242,46.386740532588284,47.497632163230904,47.89889974814356,43.5032740879576,48.78579052675071,51.7702023738709,49.37412080896459,51.83994576930428,50.183547284814466,55.07109634082123,52.765315822735566,55.12285085476266,55.716173229768415,53.08005394754187,52.398811118498756,50.034141101694615,50.00803195525307,49.97157331520147,45.13459433344573,45.474397661407565,42.437278852357174,40.08329384565619,41.469943440940355,38.52167723929297,35.82963878215303,37.17382935985099,37.69649837281585,33.038199580140606,32.294042651744434,34.784818218861915,33.61524576889872,28.644095669527815,30.07353293647854,31.009563510799854,26.84096160052263,25.513304416205745,29.048760437477828,31.23498321691367,33.71493160384405,37.727406516493225,37.53750365628579,38.98895737036354,44.21631613388366,44.873242548291394,49.21743061359135,49.950169991273405,48.727655116255136,50.92452166573,48.58889838193823,53.414568251130405,52.652264493078775,47.485542114997386,50.366659208386714,54.47479598936843,50.97160476341022,49.06720377639509,52.68764675731626,53.412440511554756,49.097815706594254,48.489753539430865,44.55747330407015,45.791890811321174,47.83492236705366,45.43311782914343,46.26650706617538,46.955954381845714,44.22758460827082,42.08736061644732,41.95627248606366,40.69262587204039,37.29249605263933,36.66766622742915,36.029943707074615,33.038782813576454,31.819125303801393,35.59841254507424,33.64004871534802,29.04161580470802,32.40559298833119,35.901051987923196,36.96298337904461,40.29913565846231,40.580241127935736,44.822677013197506,42.79623377525308,38.75605788945915,43.30322777328789,44.79685326325355,41.80600024949564,42.13568865070821,47.8075595792488,46.52017380292328,42.38822850745936,45.67081940242069,49.77575190061096,47.9274117891497,44.69345319661421,40.18283187745713,44.09047535950345,40.18016732067705,38.75229312280784,34.346987848116505,33.59235891822396,28.88687584962547,30.4238537520189,33.18501659201119,36.95179267390356,37.75817977223426,37.83622616350182,34.2470239759951,36.89642849509007,32.84998806188033,30.08448759727119,32.130035789215796,32.31072353197136,30.574557778332565,28.047324127720305,27.292170415865847,26.306760559703736,23.997608081952027,22.00803011217448,23.332712468122292,22.084239585026612,22.781103080315198,24.163853978068033,24.962768231413065],[21.494773078233663,24.08110920202792,28.4325774156599,26.74260690272793,32.14857393604102,27.376834536034423,29.431778096089197,30.711810511015663,27.886638905003778,30.625885189982817,30.66525726528656,32.055380535872445,35.40819469012694,32.84339450815974,36.09437263335883,38.74588407154109,39.35046628216959,43.07881834393837,45.87709216837067,49.06682268735152,52.31175108016467,56.54708426487347,57.07892849756813,56.96246427879107,54.12206708857381,49.8578626646364,48.60969990682615,44.5810135180904,44.18527586777251,42.92794032051423,43.42885941185188,43.280678625516856,44.9195384584466,49.10052847071096,48.60886194532891,48.0272934343212,47.58227770807233,49.82507845729032,50.546278107167126,56.633323260224,53.72478979315165,53.699444074564084,58.20576451494138,58.37868225881171,58.946598659526735,58.33170791634317,62.45767615753917,62.35310793954276,58.70516222776116,63.344118437264335,66.13041103724345,66.89146999077319,67.34288692624611,61.22871213008383,63.81961729983941,67.03735585770222,64.46342116596273,60.850425743244756,64.36532675364053,67.17954761302194,62.5672299230409,62.15134045293278,59.33705724382028,61.40666265822632,60.102958974092545,56.277673343705715,52.59196868536027,48.94265244211199,46.00599543308593,42.48441458534742,41.70928420447527,42.51295805696606,44.493720529528595,49.08858871314779,48.28930353333169,53.93679737132846,54.56848829989334,56.263781877708,56.57291653765351,58.9440661745765,57.111854206933415,59.22383237752401,57.06920043741021,57.00011661722448,54.536879244342686,52.055029119492104,53.616567138259796,52.885993715371036,52.36813101360948,53.28147262557525,50.47963737851581,51.78546925334719,47.75283529424228,45.24147312751318,41.19462596666864,39.47773877166753,35.99286196999673,39.314963851973,37.176519025954654,37.25977987790374,41.91426783730689,41.698839691009304,45.37703028444923,44.422988081024684,49.315545265748305,45.098546734869025,47.58503356246882,47.71619031884929,43.53811480217763,42.42618344781682,38.147431024684806,39.15729664786348,34.952888552392395,36.99122636315339,36.03726272642419,37.433195366056516,39.91159925564151,41.40785955159916,43.863272289155574,41.10705881027585,38.273754412704676,35.49484960859024,35.20717062224936,33.73940088304188,31.690946676605158,35.739638494863826,34.09018364728735,38.525398990806835,41.10090845621377,45.436914206729874,45.9945205837302,49.85041307575533,51.41929139098841,51.13772601467168,48.41680319671908,44.49041542661041,42.95774116232281,41.63431552422306,40.06179491102845,42.50079234349023,44.17920055564876,48.4612079632294,46.778823459639575,44.762216473602685,47.44865258729461,44.66938948740333,42.219502110878054,40.34450470135904,39.83203278063078,35.687687901045,36.28684325261821,32.83056489980079,35.86224865017722,31.32454431795077,33.39179839939659,36.70297847178476,36.772760975038295,38.98518526692148,40.55525158952219,42.30106317545337,44.04459012028436,46.15020119229249,46.33043127549983,50.29507192268867,51.72460140871927,50.23177699463354,52.30816362739187,54.06793179175038,51.475843049892575,48.03521646791004,48.212449628959426,46.315380595754526,49.102662995472386,49.615022652919755,49.422705627857795,49.13628183490697,46.632799198196736,51.45682242670806,52.625217992819735,53.698610408371295,53.90114500673339,49.469167951735045,54.60908168084824,57.49993634252327,55.070936141721056,57.667391134863806,56.055286380082066,60.81998665845679,58.226850393191526,60.60555080279511,61.0474294136239,58.54843242153521,57.67940995413611,55.25727204229491,55.17240507356518,54.91376250883028,50.018033251367584,50.32472691561937,47.02433933898471,44.99749148908536,46.0056118248431,43.308568395760865,40.68833342672387,41.4482002403702,41.882543228087584,37.432119397153656,36.267657297379515,38.43588322664396,37.41870749460737,32.42537347553266,33.29443004051419,33.972536492725276,30.144683432176997,28.47297550094334,31.278867843207635,33.65581659473938,35.88266792568437,39.97741833251224,40.3199557963378,41.579116058112696,46.89523374339112,47.29896202795774,51.966148626288195,53.0702366074573,52.25569111176214,54.76256593759073,52.83861528875251,57.616162465740295,56.467554301138755,51.537271996350825,54.73796506645441,58.55921060520661,54.89314179392558,53.324247389973216,57.11189461906815,57.37029167589622,52.95958455800146,52.940657632820695,48.87191934695714,50.66638678025593,52.590960132403175,50.01285780394476,51.12169874270876,51.61381005433144,49.27317004190341,46.98259883699,46.42752396794102,45.44058260432264,42.26138984242355,41.14878766895529,40.3292576450516,37.45015720626358,36.00441168528501,39.33434832696883,37.26437374654266,32.67395534184724,35.59927620485706,38.894197008569236,40.09936108707427,43.73830286661153,44.50585286554001,48.558173025591955,46.00735631115137,42.292344393530016,47.10336478295764,48.10251921869677,44.97682214232243,45.795443503462685,51.25684631462383,49.43255197853846,45.54050070452747,49.22575728874553,52.94053867228164,50.66927811874099,47.56417821130413,43.051501255197984,46.44422384726229,42.366208057829986,40.7660537751864,36.75875450544709,36.601894578427846,32.17684793416002,33.25454117251298,36.35987661862039,39.95116393593746,41.27853028211688,41.620644629952565,38.60574141143056,41.639363602348745,37.862723782690004,34.918347251650815,37.35773453866055,37.299139029965644,36.002147314628026,33.36900234849983,32.02368035639507,31.24059969420012,29.552156176595265,26.855698284408906,27.666643609286307,26.53966944367217,27.261675204791334,28.50382200657344,29.165833347689922],[17.612563050092163,20.563126013091036,24.949466773946572,24.380636885082453,29.488663594332472,24.287297710598057,26.762738382767562,27.52442580131802,25.390959165737694,28.88451232289038,29.06450426923142,29.750454877380328,33.533458407856365,31.77353621191932,34.91026143082943,37.19225092890273,38.16768391843782,42.20949128889745,45.57421529139465,48.27426263190153,51.86499618745438,55.877510525574586,56.83080731003582,56.81278064159031,53.69492416029502,49.545057258679755,47.80031000068987,43.63087637886716,42.8989335093197,41.11944535014806,42.12064618121948,41.14757275428668,42.79533835723787,47.278026129145836,46.67351631180964,46.46826729800222,45.44292201802011,48.22108891249033,48.99742081363812,54.807330508722366,52.4251280151575,52.69002740619461,57.14464449767632,57.39505445147862,58.32225424751883,57.613016486902055,61.82958838083042,61.44915502619449,57.48454748620366,62.15504524054284,64.80107968848402,65.28693935314891,65.8375576042664,59.63073078054624,61.84970858320398,65.29977350151415,63.11326996720434,59.28006808690009,62.63064669488906,65.82842469142783,61.491059682693795,61.051901752602376,58.1959599101359,60.75561534626848,59.40217382893542,55.3292158323408,52.22351240625432,48.31674422432877,45.94530127277388,42.265721751087526,41.937148050230775,43.16664594973342,44.60254158359204,49.165472511486726,47.728318861575076,53.30085633032435,53.56800422700353,54.95975342585504,55.03587918045373,57.29767162066688,55.04395309539383,57.105011585022595,54.48229982279429,54.43642320811061,52.32049486942045,49.835003450025354,51.85093383498881,50.72228363784112,50.87104770142333,51.55189477784519,49.20050853185403,50.807670108877716,46.68899881910865,43.819602705885266,39.763054899570946,38.266152190188265,34.789373562148064,37.243001297445,34.70051640139661,33.964729213630946,38.99176601455646,38.0811927074593,42.24609214734559,40.81638615588978,45.80193441341853,41.533193776188455,43.64297405132802,43.96954851631959,39.778578340659216,38.55679392155798,34.56070097833448,36.163102008236955,32.24720068185275,34.90623199186952,34.49720769159207,36.35993049736872,39.09310241449243,41.02550654533709,43.846993358215805,40.67915076915573,38.12978320716758,35.01412120824998,34.87244967446286,32.83239728986286,30.179529800913446,33.91212165025546,31.292581967626262,35.818762218634895,38.028145445827505,42.23666541473119,42.92286597595943,46.46490937247474,48.47541995594214,47.95298527208464,45.77889919318128,42.0716815074403,40.68323901121537,39.92081437905161,38.882815475845284,41.2372991155781,43.68839509891735,47.982456968308206,46.135087525400294,43.73616429764216,46.17428140668972,43.15658037480906,40.68354137294105,38.316734115042024,37.27204473570895,32.98012452432386,32.83674800548907,29.31581768374202,31.72081656281696,27.016258213690122,29.677133569700995,33.10273876771578,33.693163367584816,35.5488498169563,37.741370480901786,39.1946820436062,41.57490197870205,44.03211215979897,44.63863681839475,48.392328994022584,49.868514739815225,48.828288422013976,50.471622857493905,52.561178146663224,49.75487668002288,46.4948132238934,46.27243546789939,44.50016736926121,46.911987430796174,47.163797524715925,46.85361294546205,46.17125604341197,43.96597406343308,48.41861437820933,49.9283451410486,50.695650245895656,51.267095269139446,46.427560704990455,51.62639108747144,54.67415060552984,52.54766128765061,55.47099544625793,54.19038228871399,59.00503014267301,56.87406399193488,58.88928504138017,59.23009481448504,56.44271322485484,55.39372438808326,52.76695824575609,52.392396988215076,51.9441127758016,47.06423730137612,46.933420366394806,43.54614157554895,41.21987879520701,41.87472358107392,38.910457286083584,36.672946466794734,37.53444611809773,37.45276560868709,33.04213030835285,32.631091085938465,34.324310469753556,32.63350111702779,28.18169896347863,29.289999278910514,29.494814103019085,25.479234962279648,24.567216516747422,27.385593221378176,30.061872992656784,31.652504342684907,36.55678959608878,36.408677872961434,37.27491572231332,42.5713692802744,42.6136848745526,47.4355604480491,48.20466394356048,47.47466939986053,49.853438525899016,47.97420014343544,52.853063269736566,51.8498150692633,47.17001684037706,50.306334107147634,54.28701725992978,50.88182063984892,49.38094946802886,53.24482134938248,53.75391816498715,49.46317852522934,49.580637171420726,45.19730724497571,46.66793019351448,48.31513875981095,45.404985414682386,46.28354022278633,46.408288608883836,44.209111999393485,42.19868306673405,41.23443498074658,40.0767164495288,37.22691804372052,36.13047243681578,34.896947797413716,31.987788964720796,30.85880535389747,33.95160865155322,31.624772688987054,27.202430254513732,30.38033269334617,33.520563606080884,35.01698822128993,38.54427915633163,39.43598502918396,43.52671301412258,41.08645744656518,37.685159623145935,42.49191543282825,43.630229261438785,40.702283687510516,41.74795866214561,47.09962411389034,45.564534747360014,41.95969620097297,45.62971463501807,49.271850346480775,47.32209291572414,44.43849505543179,40.13359353026304,43.82549328912267,40.10426459042085,38.00217870784471,34.19264047393062,33.41861591348635,29.032936530691074,30.922859221329947,33.88123123382124,37.598377997873364,38.71277308186124,38.4070927618877,35.49808163314253,38.25270489783473,34.79233214947879,31.288804214800784,33.16547374145638,32.64897028432236,31.365767903638925,29.282926143901122,27.527067782977117,26.270784260667035,25.29326460515654,22.746908329236366,22.81334463493545,21.205266065506354,21.824118958747313,23.009686178845175,23.779594882448944],[20.957836837920937,23.609546671504198,27.508454047903697,26.718636067768426,31.250392257952594,25.395235249496434,27.227089349081155,27.32067022225483,24.67543046105261,27.979746515576235,27.48316835421219,27.864789802341935,32.18197134647637,30.39709492065172,32.887101479245466,35.3085640430025,36.81391640006832,40.56544021203827,44.13239335047857,46.871668438045376,50.44524387247513,54.52557844463845,55.54516632874945,55.834778412274865,52.818999574015834,48.59565765500286,46.96237926335777,42.727565460598115,41.5741236717274,39.60732974315889,39.84652494082547,39.07752321914496,40.23457304169597,44.67496834201212,44.51927335302006,44.61268171962224,43.82543120369557,46.96906915711956,48.1166590522101,53.997824068236795,51.86267454572113,51.67986049614968,56.08781739236678,56.705588098275456,57.846458759161216,57.50194380142923,61.68986536315319,60.979887192536445,57.25579638731407,62.198278974515375,64.52221029753461,64.96934100650722,65.2124760296591,59.00859505619626,61.10491919797261,64.27112925364256,62.08880854179479,58.113626537745326,61.21207790812906,64.5106850026969,59.99260442524943,59.15125966914562,56.06717415346397,58.69665304589702,57.665549995678724,53.5918968529674,50.37109784701368,46.346777381225934,44.068893009558515,40.12899616806919,39.963100304236015,40.90785477414571,42.13945823059827,46.859513371129935,45.32590746542393,50.632509373856344,51.30376597487123,52.40808663652416,52.83209388432611,55.419414685115285,53.34109644033084,55.73460212297454,53.221481943473776,53.552650007793524,51.611801329950715,48.74059993603906,50.47110849345637,49.018816229066005,48.989807627161895,49.142091039511435,46.71172919104885,47.932656649768525,43.79091430085956,40.90165361979081,37.13176059314228,35.2516949983269,32.12997574492405,34.65449361330263,32.40468192921794,31.64287330463102,36.985198149594495,36.6575443918883,40.88193702754191,40.074386648027655,45.4722396197623,41.57462837833334,43.96968491612118,44.74221003870922,40.80142831711962,39.06937892758753,35.25849290316153,36.46622544227837,32.333238183976434,35.054914901682395,34.0579251472909,36.21596708905648,38.50938375454574,40.76986529425685,42.96651154483494,39.49359592296365,37.173487118670124,34.18451249282782,34.74021599151561,32.87988138371475,30.41660159093639,34.589317795586844,32.22581600519994,36.67898889353845,39.04592880289711,42.91812760700994,44.240482987148496,47.66556986064605,49.578321621896194,48.57384207724353,46.686723724548564,42.82173172450922,42.09935097501353,40.949825019760745,39.755848784786174,41.68250210184028,44.139719799772806,48.16426575945317,45.894697746572454,43.60548224302977,45.808773874374594,42.45188798812472,40.26147782213861,37.70210824230235,36.84560808758286,32.44320777008443,32.4447960447904,28.378651709993616,30.61330961866368,25.38503147276704,27.647294707446406,31.423642894788216,32.22844175697221,34.58457396970693,36.59631726134744,38.775727679583035,41.44071331970267,43.40418578042334,44.57151822721077,48.050197054726794,50.08949472456168,49.42647496292876,51.327868810418934,53.67552969434241,51.144371609539405,47.70966476026706,47.35098507174101,45.1883351814967,47.22626640486647,47.13822688428166,46.428298411112344,45.52806734797092,42.920615290035244,47.270916154628885,49.1159705025957,50.09337695312515,51.08781585135825,46.45074640374268,51.91385251360282,55.096561992430686,52.954052757736086,55.480363853417806,53.917062061072286,58.95074597898849,57.10479255023648,59.29643022133501,59.944958623677785,57.074711744968255,56.38975062691168,53.914744432233114,53.68747776683002,53.55373734784278,48.75750524752381,48.69202437492805,45.60235484646124,42.89392907098348,43.903823536048044,40.59253232645867,38.38334521506877,39.874751382748705,39.74763327524921,35.16150911442456,35.29305810972032,37.17016262883589,35.12576972376486,30.911891580454505,32.49087964781017,32.72794578289177,28.43366403752389,27.97857180526652,31.202136179363382,33.822591941503816,35.389839014808324,40.41407971733432,39.88653035036225,40.75130816814513,45.9739049801915,45.98599866388763,50.702386587095965,51.096719884937706,50.14089844204954,52.20982700868438,49.99722479647751,54.96682067143025,54.36522473667691,49.58088453233608,52.39929589001656,56.69066622346877,53.49025686840507,51.70565492018723,55.40882099122689,56.38177085823243,52.19236323077025,51.76461184874671,47.51221670959314,48.345085360525225,50.05748114619923,47.22400777815952,47.66601626186113,47.76089689843567,45.16308011936929,43.56592480581438,42.81719532180801,41.145056555174236,38.31473160762652,37.839607843182826,36.43968503377233,33.365562541202536,32.79258374630232,36.08383198927355,33.57635782000517,29.35732830719559,33.0605429059673,36.175567424772424,37.80816023919825,41.04204017165966,41.640649650598526,45.90463745123253,43.909187710756186,40.44965503126495,45.03817783325318,46.59383175388702,43.83092137366695,44.5816309281629,50.05194463833589,48.94839805351996,45.238252683799686,48.60444356502034,52.5165749116673,50.87976749294715,47.92939466053392,43.63394299371209,47.634137584732876,43.992100160157044,42.01779597687959,37.97775559384103,36.83862542168283,32.26705108893528,34.41761748165552,37.14423752507521,40.96697869080342,41.7092175376061,41.23119369718042,37.804591893790885,40.15522579987052,36.38020875291699,33.099521489440725,34.364664501960505,33.977911223941625,32.01964808054156,30.386484266978904,29.255909491823143,27.448127942956955,25.938239251986012,24.48598500630916,24.803043700206207,22.6501784293822,23.03333766157275,24.11719776703219,24.82978014599365],[24.454665445528626,27.31147671630611,31.465617634489455,30.663813485677604,35.45075971202916,29.766738726145416,31.655204680350018,31.83915736708599,29.106297372877858,32.25550744378384,31.63931508121405,32.09798782681729,36.435174760343784,34.44334603595702,36.82875104736502,39.37776920067101,40.897790419020275,44.502596348622845,47.923286005918726,50.83537106698245,54.294316760565806,58.46013500564943,59.35291535452052,59.65386864481352,56.74888655488822,52.47266737961173,51.01407160517051,46.81052931735123,45.69162114365271,43.81246969842919,43.73469804741954,43.202038435009044,44.17804978358151,48.54040691087349,48.5733905607657,48.67993684403495,48.06448490676317,51.17562509657982,52.362752975904854,58.312217863696574,56.07897489888321,55.77176490531651,60.18733688912253,60.82703999474289,61.877616360551194,61.57566353472436,65.73716223287762,65.09765675213882,61.46993488159342,66.41228408540296,68.76644663214535,69.28159479084734,69.47979259326596,63.29768136893962,65.45776476615524,68.54245342736363,66.2741402931403,62.32829368411476,65.41214164687852,68.64465369242899,64.0184680997004,63.08148160503907,59.941003682033504,62.447855029614885,61.524932615135924,57.52670859059103,54.092216950947474,50.12371768636153,47.66955709119492,43.715577550771854,43.42045934492353,44.086823352601975,45.484473623067075,50.2725817958868,48.94201176363159,54.15857589405253,55.097341038089155,56.170812773283565,56.77872065479687,59.48882774332089,57.53847223195444,60.00906750193125,57.58224205685203,57.96876039195803,56.005406144377794,53.088412969438465,54.68729021598881,53.23440528114246,53.03157309731636,53.05896957781115,50.50335925920327,51.47306571110886,47.35317760557993,44.552521614339945,40.92399872862954,38.821622737350474,35.866444295833915,38.5993034954842,36.522407361644504,35.78144012071877,41.21342070823049,41.03760720956455,45.27370725145381,44.56343935347733,49.99199471216011,46.102093343882785,48.46815139456473,49.21483146080509,45.23550431172973,43.56077234152782,39.738910259613,40.96206690708865,36.805888229461196,39.43323646854281,38.32097007796229,40.36312176049585,42.57394426015471,44.70834644382451,46.735997348344505,43.36958440756428,40.97357146874184,38.11201554723602,38.646095922488165,36.96430480108477,34.649922592202216,38.87136351656414,36.620056285494165,41.090387523377146,43.471340323594305,47.401530734974465,48.62005513923807,52.08141636280401,53.99530984046882,53.06653128453169,51.10197688330855,47.2217324007624,46.36663178533383,45.179621476008705,43.87350062046338,45.87192960690344,48.10349374138619,52.14836027373282,49.930804545744124,47.75453429534544,50.02408060671607,46.70342694035219,44.53326369561168,42.06771606515633,41.30541626825042,36.91479512222613,36.96998997235099,32.867819577552915,35.018916170316,29.656218962530854,31.884925940444898,35.759193568669275,36.617701185441554,39.059169216525675,41.01665011554542,43.28600518855027,45.89643352017945,47.787507416946475,48.890668227911526,52.41182915444912,54.44223239172968,53.652654833888036,55.62716918313209,57.86780586999913,55.33148552604802,51.88474429654379,51.63344318803947,49.4932021576563,51.63483813478388,51.59596158326818,50.89166143288316,50.01276418842022,47.335808971742104,51.69138015954834,53.560254533131015,54.58158598393612,55.5670289227035,50.96634263170302,56.42046426037931,59.58562201605518,57.41085545864041,59.90486513545916,58.27737096038266,63.30695466615349,61.35199486022721,63.622055823421825,64.26690702368731,61.455750820530675,60.7569000385859,58.283474062533415,58.060756572154446,57.87207500186916,53.049922177637825,52.979927194171516,49.79285152584847,47.18654035482152,48.04422336015597,44.799331715854045,42.641478362245806,43.92185242764798,43.71925516960358,39.21926738196676,39.21676537578716,40.934319655134345,38.88545311961463,34.7165481238979,36.055583731589415,36.1215726012177,31.976422446025026,31.413910791235303,34.27343690548388,37.01977931172863,38.38851678345301,43.54366410830349,43.25124144838121,43.96886032015603,49.23332604118456,49.03853759999633,53.961961358051624,54.486932006340815,53.75788103221906,55.94732878926186,53.92625496962884,58.893429203890165,58.14782498148672,53.504147248070474,56.448784925306065,60.64239961817269,57.397420950224586,55.75776301085759,59.53387364108407,60.334900540720646,56.107066563156955,55.91706742496216,51.59776016822307,52.62053014389164,54.26937176738628,51.32922455342062,51.82842838118415,51.76746372887135,49.32978151244098,47.754511272478155,46.76835337229687,45.140791874351386,42.47996952129643,41.84322779451833,40.26769833453079,37.236419655251645,36.66086690936991,39.68328687975752,37.045048907208475,32.90740255680854,36.44219448725272,39.394302647930324,41.1789040641831,44.53423087657657,45.394865290903915,49.573274205368314,47.344335771224216,44.10712685394309,48.817287983104464,50.15685372682444,47.35389903563089,48.3623571796718,53.72655642001765,52.38861513539644,48.81673994312159,52.37355927079404,56.10305679066356,54.27862685206525,51.39914116874459,47.10001244051162,50.86448276745029,47.136423774656215,45.06178129362307,41.215465678831315,40.348288151528195,35.88826018346907,37.83224190044283,40.72697687577447,44.483934070950006,45.459388053195134,45.09737360899218,41.88804703922706,44.389252455365785,40.682812931951666,37.34597335801661,38.72633755101536,38.224780185247035,36.38627965041861,34.77481779278788,33.42930664607167,31.638226005859213,30.372973688014838,28.70589232997357,28.78751390964197,26.618177883184455,26.96088071680332,27.92360047522346,28.528080629915777],[22.670708005291942,25.686502668607915,30.135977087247213,29.413767392571916,34.585095133066005,29.346863429388243,31.6191365237421,32.254863634281165,29.796343236509312,33.04650414749284,32.85781395313777,33.5559466715823,37.54891807034138,35.51797309685651,38.354993034176,40.84414111563285,41.996831293349885,45.79056762618539,49.05018381194274,51.97181667277388,55.43260798227988,59.57479802105241,60.393705483829805,60.491864892487065,57.51511965987588,53.26913135869848,51.7656962220688,47.60926676078907,46.791332991661044,45.0645704255494,45.47472330348876,44.84553517795417,46.16064782582961,50.5548310255189,50.284528434527,50.16615704968513,49.41803861358201,52.26049697294076,53.193182099457395,59.121426128755694,56.68552424605633,56.66690764299067,61.129440411963486,61.51119187547147,62.39467316601134,61.8506704987456,66.02603556534397,65.63105389057895,61.85315682813011,66.60222419333854,69.18560225886182,69.75572905132974,70.15641642494349,63.96297604133403,66.23663733032369,69.51543486025845,67.2138289923275,63.373664307206816,66.64598908603895,69.78875685003383,65.26680839309238,64.61856279515466,61.626712032040246,64.06740521696267,62.91478785380396,58.92232497150136,55.521891793976344,51.638723773459695,49.07765404857896,45.29979714806742,44.86616239775237,45.706517349723285,47.28447540025318,51.983524616387484,50.751483030159235,56.17579307507347,56.854527797086725,58.14855979251592,58.52974781070801,61.029215420431846,58.97204524251677,61.22394715574573,58.73905122070836,58.87081177141214,56.76324030350759,54.107627007298966,55.879050462296114,54.66576665599565,54.546219008760694,54.951192207659794,52.416962236241346,53.643270705306975,49.52633836613005,46.74551996013225,42.90248584718862,41.0412730932314,37.821077505726336,40.566325458743684,38.29682754844823,37.610034974807,42.845065185663344,42.3138940377967,46.50220279746337,45.397827816567414,50.5590509860207,46.414158125049944,48.610652660841396,49.05093443584071,44.905032411950664,43.57434027290677,39.61431759738092,41.0667530766401,37.027301757570086,39.5828691089058,38.82129643793795,40.64641190332138,43.14139354634497,45.03158873173289,47.461169154240025,44.31944893408416,41.744667286541606,38.80672009351791,38.869302121265,37.10337684493458,34.69719089810838,38.658360280059625,36.29634063088293,40.814092910002344,43.108338954386696,47.26946229770173,48.05454679501142,51.61120226637358,53.568865109188586,52.978918694589225,50.788150683627016,47.00393412945351,45.69124233303347,44.72628614731574,43.49278912563316,45.78658079765611,47.95897517278761,52.18836716847507,50.267747669991294,48.04062178300396,50.486594768962476,47.40180910416269,45.03907638059911,42.724664526173285,41.8654297438091,37.5404577946761,37.540762995477166,33.772584867770874,36.08172986192496,31.024363573975016,33.50333064234074,37.174840324042734,37.87061107532107,40.01287931497925,42.06521365273805,43.87512670056781,46.265040060416766,48.47231444391374,49.17882719340693,52.90115019302553,54.56304681429818,53.47275071816021,55.29726578936212,57.33621240230217,54.62610156375031,51.292082743954275,51.15954149653748,49.27558997053018,51.69749972787576,51.90299976449083,51.474266379155736,50.761409108197405,48.33100569448321,52.78724027927217,54.416588225616124,55.31511735867246,55.998878471610524,51.27237553001507,56.54920502080978,59.61721234079326,57.43423838241351,60.182655979861075,58.7252641076507,63.61187048047701,61.430518892707084,63.60191893275781,64.03879875245069,61.31332862582571,60.366937859947875,57.8015535656531,57.49458744255284,57.100610008519936,52.21986683871932,52.12863760536574,48.7445599953033,46.41593736903302,47.04438533552113,44.05183523865784,41.86192752243207,42.707090860587485,42.5540889900882,38.18570573658988,37.78484618574519,39.38423494838621,37.60515280710745,33.279251941581514,34.274182258422314,34.32302751236175,30.405009492478975,29.50864376593002,32.043480975327235,34.81422284344247,36.193825399049224,41.21978188298317,41.22714224528018,41.94529160447584,47.24845522420664,47.06296736804128,52.06731900291652,52.874139140789296,52.31228824371037,54.72483017807077,52.94500855397633,57.8402719849912,56.8047219311277,52.23516034144587,55.40346347678003,59.36619795458342,55.969290793300964,54.531715120927544,58.41276123823069,58.87421235494973,54.57647278350925,54.76382260098987,50.375694093833246,51.857113929233115,53.46661727419072,50.48769972282318,51.294344837502045,51.26334183324638,49.095294937757494,47.23068252221805,46.10503798580679,44.83544250321574,42.156295775537735,41.098972705620476,39.64261740053919,36.72748262794438,35.77634810880878,38.65182228287976,36.139482379286676,31.882865370882843,35.034485040587164,37.984727804332785,39.67268585687678,43.2289977250216,44.29970740299293,48.347411799027135,45.79803791192359,42.613654586000386,47.466937831238,48.498238478397354,45.57956477074693,46.793623417814466,52.06023481131241,50.40214781871033,46.9094496222816,50.676977430358946,54.202102349208566,52.137012162156175,49.30708742103141,45.0072793333436,48.513924995806256,44.72171555317318,42.58281637795223,38.92085460351475,38.35605690108441,34.050317219660045,35.75385546403976,38.80775171664085,42.4678373414677,43.71712140682386,43.51164277809409,40.66576607363596,43.447801237650104,39.944281103110036,36.491408564037286,38.29914747363658,37.73020684970269,36.33521809999851,34.41583492337567,32.67901341582989,31.26817647430956,30.32157858380855,27.94840564593078,27.894838563565852,26.09761552478583,26.675627279036544,27.68358677306268,28.309420672357476],[23.034131409372467,26.339943011896917,30.939841760444768,30.958092571704572,36.14464690941098,31.039799206784508,33.68578752765641,34.201742060810204,32.2444241633412,35.84079962546036,35.81308170053305,36.20324313941085,40.31725828603113,38.649431261736524,41.49854164071617,43.80186011928868,45.04637145964023,48.99334260412188,52.43134005895849,55.151125193235664,58.7417723840047,62.77996414892459,63.74216274920677,63.82379077177565,60.721359588959515,56.542630920064894,54.8331003006739,50.65101355438645,49.77127987174141,47.843050143305895,48.55141197411675,47.51711913806715,48.84366327187828,53.37740428257477,53.03784618147373,53.079104526168905,52.024982738172994,55.066505777023494,55.95235916056606,61.71582826308083,59.47442006332846,59.67699771861499,64.11889378154814,64.4542825993843,65.42947501878908,64.75309685858903,68.96211107870523,68.5449530330752,64.57973439949716,69.24654708069404,71.85399507023865,72.30452941427019,72.82746873041823,66.59963794459847,68.71603762089113,72.16079629976917,70.0422783249883,66.13681886848147,69.36504344936677,72.66532033392339,68.30923225596895,67.70804657978898,64.72337756759538,67.36443474077227,66.1560353532283,62.06912345890465,58.91916706150118,54.95813612294021,52.60228416689087,48.80357515074506,48.50854646851193,49.50193373934007,50.91855050173693,55.589172480322134,54.1311360718551,59.522022295776644,60.032665395211694,61.199443877938414,61.45642314600769,63.87158126555483,61.586839573437516,63.7689061512252,61.02129731983529,61.10054505791526,59.149193352926616,56.57825092870087,58.61606959835702,57.248087772146675,57.476776075841066,57.80284677608973,55.492824512684095,56.85091228566754,52.707464186349696,49.77142729911164,45.9448008992844,44.1844276820457,40.988585983662986,43.306872475783415,40.83427184307811,39.6551819000961,45.08364874930522,44.07052305835433,48.53777962473917,47.04547435611409,52.14533299172986,47.905558838045714,49.745749027819656,50.17104062429366,45.967619094700574,44.75581980803849,40.97246993141183,42.88346302609141,39.103661393418854,41.925810777318034,41.56306154274303,43.49728766871271,46.18587957211555,48.14993891366243,50.84456407254395,47.62668939157142,45.11853619160767,42.04891003417072,41.99935130068249,39.99108920279046,37.315166808407334,40.967930697424045,38.08440415342453,42.61315030956244,44.62203303067059,48.78592304413954,49.39774678698232,52.77860536175264,55.02775791285971,54.47955637267107,52.51330590420431,48.935097783848605,47.44911355337725,46.90934991935932,45.96893935434137,48.36001150303716,50.81583672033252,55.11621815286926,53.26396815347871,50.8681170222351,53.26158707495655,50.16549851950466,47.740667051452775,45.25778187691109,44.097167050793196,39.75537067089743,39.29991278147644,35.63105273522324,37.49566917845506,32.40107153472806,35.30298296642221,39.00934230881395,40.01566342517064,41.85582021224814,44.29022542361067,45.78443796355538,48.44049266038455,50.93028962554055,51.69898435054117,55.37661571404147,56.903712133231195,55.893558462259634,57.41753704017942,59.4958263050798,56.58846275510285,53.43102528697395,53.17104250760076,51.50269132419275,53.85327742025511,54.0245013277765,53.63720461737317,52.75358974946708,50.58176718128907,54.81428168062114,56.57721899654371,57.25260132563904,58.04638383644006,53.05609247985922,58.25598314044167,61.35495515380331,59.35617871881746,62.386233600163855,61.17689614637163,66.01086333009826,63.9660900833786,65.9065681677372,66.18256279136483,63.360993422846505,62.18728590823905,59.46781794999996,58.94168664645153,58.29914465172159,53.4265802577984,53.03739807038001,49.47760648280293,47.1684288628504,47.34500417364569,44.364337940147124,42.490061324103166,43.05659240841928,42.51941917882653,38.37599687869947,38.22648108056354,39.30414762727788,37.20428615519942,33.33044370136707,34.132621189729825,33.70940304148125,29.994172959110962,29.429138989616302,31.454956836474825,34.46066327551749,35.207876820526536,40.7363151458454,40.72972780829042,41.04326689760894,46.299934101263595,45.694845803887134,50.94935057631231,51.74813842948353,51.50597732764306,53.9946183160997,52.51930205654454,57.40564496576091,56.243169854911734,52.03210648576877,55.31786044305987,59.179241599365355,55.889756113096794,54.71169193121305,58.70966396898877,59.05666740009828,54.8192987056476,55.43917267457266,50.80753144493538,52.39201146743934,53.73259692285549,50.46147023423006,51.27249371330649,50.877298754444475,49.06414313028752,47.31536662246065,45.67785476555116,44.481614247157786,42.194000567167045,40.875056801931876,39.05915213423,36.25650320203884,35.40591467826578,37.7765423002652,35.07122714944941,31.06963162948912,34.02570172361788,36.65873750233234,38.610516247924345,42.20858383132558,43.649985318194005,47.547554981934184,44.78454992074905,42.07303584494851,47.00690510874848,47.81734845126458,44.9952110253164,46.6391017575451,51.637449431072255,49.873536261484375,46.765906849920896,50.713264535564434,53.918201751788686,51.839694266232286,49.2703441911772,45.16426999250091,48.51889324552126,44.918814218012926,42.378583290017325,39.14817339141305,38.53434444195636,34.50657049089545,36.42998915117224,39.521216038105806,43.106029172373574,44.492741547827464,44.022684170351404,41.604214310416914,44.38466419065959,41.269135427081004,37.43027788200429,39.08006587843326,38.10172189407827,36.9935265735608,35.38867653798807,33.1192872454033,31.568582802089978,31.414551694559876,28.825032610421204,28.055424585152842,26.084511406371064,26.58804762755661,27.38368560650218,27.934604798158553],[21.112260348047293,24.498056913009744,29.276761253066514,29.48488276744571,34.917549263711564,30.371641756493954,33.367578984986224,34.29326001257007,32.69201427230459,36.35907476174751,36.757297778893495,37.33232683484902,41.07010647721127,39.44616701377548,42.69082112325494,44.88322999914424,45.77349241988987,49.896840006919554,53.19366656734265,55.859408959020804,59.45655716824909,63.42576504231137,64.34681500578404,64.22374451229405,61.046397229062634,56.94078984419466,55.152487124327045,51.04076191518348,50.44534737295053,48.649826813602544,49.88168516617622,48.70654753843545,50.37290557323082,54.925672150009035,54.26616277472941,54.09905366902264,52.88107494051751,55.658077327112146,56.28233732426681,61.96423218172052,59.56881073628164,60.08794282038103,64.54403275543571,64.62100484916812,65.45068071631809,64.52087300071759,68.73185121390219,68.54188409532036,64.41716395094753,68.86753862454216,71.68634128052761,72.1633232123877,72.90709931461036,66.69343718919198,68.88759118632377,72.52653683072195,70.41365832969812,66.62140507260817,70.0175639052286,73.2370186964459,69.03004428126353,68.72637251863856,65.91067661122443,68.50815543440325,67.06421901056831,62.98416829441774,59.93818664658587,56.066573362372964,53.67123599449088,50.063557916601006,49.67503834407348,50.87918614043566,52.41019620917444,56.957122675224795,55.55067201938892,61.12128184189916,61.32970212029201,62.699595371968435,62.70068200113938,64.87466453969672,62.46649605860534,64.40470323746445,61.59120573468313,61.403849519680826,59.336596463074216,57.05022130062035,59.28003595574104,58.14387943990342,58.50044753576424,59.20296584971984,56.9575047562738,58.598405076286326,54.47540068331232,51.55323155883052,47.529859442351274,46.04363543851521,42.608978174770115,44.868354453216725,42.20860470641557,41.07601404907617,46.25002760590123,44.86217094931912,49.24697584895499,47.34719386240623,52.122858342257715,47.660526158078774,49.2944439925255,49.40225429279439,45.07048447358054,44.22612169927117,40.364569175665395,42.51537660808279,38.93136391714883,41.67883011796618,41.71412383732846,43.44252586729291,46.40126538744067,48.139343091520395,51.24497310849917,48.24315216331792,45.60997769146774,42.47408836278157,41.9742568065764,39.86092321611439,37.09118708195927,40.389783886887855,37.36988881639857,41.87598358045451,43.74438107438238,48.090230536337195,48.25392888619748,51.681860332301,53.980005746806256,53.77348319988875,51.625351882181974,48.19631508701403,46.27046548933732,46.01223551379611,45.20221797247718,47.854177778945896,50.29767406006087,54.74483814060114,53.19167721858155,50.73197247916711,53.26047279452192,50.41345707634032,47.81754455803787,45.479596776415335,44.20186350997686,39.9803493459125,39.43977727076926,36.171152470562,38.14934820172555,33.4651405585434,36.56843588108876,40.00922455924256,40.850394368727876,42.34830245668631,44.87378656806103,45.86833854761553,48.30577815562258,51.11379381291003,51.50090694998376,55.335671325395865,56.47051281400808,55.20605708718983,56.5305397066473,58.41549671328745,55.33471074126596,52.334029992977584,52.16474556332969,50.785085738287805,53.36889680381915,53.771217825242374,53.66235337665979,52.936525109612596,51.052896361205946,55.33714373913306,56.85375586543107,57.38172045179972,57.875008351197074,52.7765222223402,57.7541060804272,60.73818703420868,58.763727950589136,62.05588645354246,61.05353924255673,65.71097448783473,63.482525219611894,65.2849207713337,65.33821865800041,62.59215855797532,61.164850628732445,58.35580057422763,57.727388285984006,56.86538304014822,51.97706994639672,51.54384444141143,47.808393348731606,45.79878431647763,45.72054896250914,43.028704134909944,41.15857149925143,41.26441821358908,40.766836880118504,36.820537449512166,36.28766540754326,37.19751855473789,35.39400728095801,31.438515919436917,31.863809191190427,31.405512262245146,28.00666028097045,27.13298339676114,28.748267399374253,31.7463356515588,32.46504140737669,37.827567342855694,38.11239565283657,38.413359194682116,43.66361480968848,43.08963987175782,48.37561620874949,49.46110032275417,49.38382662605133,52.083959905115144,50.86234853421275,55.64105357233857,54.1898971825104,50.08238946415313,53.57301873224017,57.17466840380743,53.75629890961993,52.79498533616685,56.8755636818081,56.88142063067926,52.60564481586129,53.61601222652809,48.93589238162282,50.96752417433543,52.250642429970405,48.962502082096144,50.086547006213166,49.73542138744142,48.21588656326767,46.177198629089695,44.41837702545794,43.61649887208277,41.32438387072912,39.579696039826885,37.92645638238544,35.28960468926099,34.044314060379705,36.2312926418221,33.71675332143049,29.645176869693838,32.13249202177312,34.73778966869017,36.54825431871223,40.32061835452802,41.95712588871912,45.682937098689955,42.61484138275418,39.97839851712234,45.01263993217929,45.50106915058544,42.58554091581948,44.43261895432891,49.28750896265372,47.21685883948274,44.2257643933946,48.356711490000556,51.32840833882476,49.033070988887005,46.54396106871934,42.485022713451116,45.56408421284327,41.953656820094814,39.33348899902982,36.352229675552756,36.02240733924869,32.23408347508475,33.93254915390682,37.132260894021,40.575005680356625,42.21619013941295,41.86900795292866,39.8722890154661,42.89099593080159,40.0508826104078,36.1205260898471,38.161366996531726,37.114464187458374,36.493546362830166,34.6094344720456,31.959254361272635,30.833923950695194,31.03632783473035,27.79547488498782,26.862547861518653,25.344774722463324,26.050080113304507,26.883274268843024,27.441625950949174],[25.33430306905565,28.724436112759506,33.52086054043084,33.665969224353276,39.14108865320191,34.573549553174644,37.481615293979,38.33817380372315,36.56887303397762,40.13304550120215,40.33980074988142,40.91202674004359,44.78144429751393,43.01560681459403,46.10591121221159,48.41117009707832,49.403419586297304,53.40298474454661,56.64485568592906,59.43891173859732,62.96769816935284,67.01095611307387,67.8588839352069,67.79147722702062,64.69438463660028,60.530427993102805,58.87358694506757,54.76205749481625,54.12027369422655,52.34276213526156,53.25426753468079,52.25164948755054,53.72841735472685,58.24317389423763,57.77546198426477,57.668155800059424,56.59088823847847,59.418214039131776,60.12746352273562,65.87660692691033,63.4501691161142,63.8225587475987,68.2880756708907,68.4303110510827,69.2303886639352,68.38056899993481,72.56879077585874,72.38343401148381,68.35423924387158,72.84180369600875,75.63896060015394,76.16553657170367,76.84193436198933,70.62797311236115,72.84727623778899,76.39986354419455,74.2304379356891,70.43159509199857,73.78038899180625,76.9755052860874,72.66712781036978,72.2415262211117,69.34586068133032,71.88061714327438,70.55145107537942,66.51269184098348,63.3004071667906,59.438520349200374,56.93234136250585,53.266596196801,52.816805876534936,53.79809337867278,55.414880654339285,60.04102833178248,58.7494932048995,64.23297363520265,64.68035124065345,65.98653734661951,66.161023075394,68.4719714993689,66.16350634243689,68.20753113424082,65.45338519063553,65.36162490555489,63.30646736926091,60.92633825939686,63.03589198211151,61.84128949283236,62.0634854405096,62.59990616929721,60.25822612688096,61.68072667219016,57.555751367841005,54.675473777956704,50.774070658609645,49.083136176985114,45.79228265991567,48.196325917005765,45.67610612143069,44.53392236494061,49.85043133762653,48.64122878445501,53.06915093934324,51.321326709666955,56.19952433566072,51.79359494243197,53.4455530451889,53.611143905270445,49.29618916964082,48.405921335237956,44.57094472833715,46.67237456457707,43.024898810522025,45.73285591091345,45.59258452380503,47.303113193899144,50.14618113698524,51.856092398707766,54.760801856746525,51.7759546209783,49.119053584826844,46.074698745551785,45.67245411833327,43.70031892324871,41.05068357001262,44.470162506499314,41.56064157869071,46.074484760058255,47.97591091521252,52.304622420614706,52.498165466116646,55.92399865996534,58.216913273857145,57.98764802315291,55.837849467482194,52.375593111616155,50.46243134410166,50.120295723905855,49.2108330418199,51.84881985253282,54.141136801378806,58.56808850448819,56.98744938589023,54.61540706790143,57.15746545239387,54.27337831058948,51.72786986638407,49.40972039333048,48.21632565528944,43.96396794685658,43.477013129886785,40.06670029047381,41.965697031202346,37.072532232270504,40.10705930095589,43.69434154432627,44.61828031551159,46.26219919013221,48.73928513535593,49.916888563565,52.37947257407849,55.0705899753667,55.50831131898085,59.33471158589199,60.55280643063808,59.25316689511013,60.66271712369426,62.50782389564572,59.46198192215279,56.43356132594535,56.31668507593473,54.895114460658704,57.493793163466904,57.87548475699834,57.70698478400886,56.9530609260143,54.957767058552136,59.233488859102565,60.830599375316595,61.41602474868889,61.97687851027446,56.91684730088211,61.93408662311671,64.93040721982366,62.935848164226265,66.157557511365,65.07400117282032,69.76606959107814,67.50253277804093,69.38436521378092,69.4709667534991,66.75980008884913,65.36217441199804,62.570983428899225,61.9604579778825,61.097930832425966,56.210382742458364,55.77380131721659,52.018799063400145,50.02379718751921,49.87789456897371,47.18630434327976,45.37677147955518,45.43432515670259,44.8601352248964,40.981079948036836,40.46662195810983,41.26520898521698,39.39630645145849,35.581392082544,35.91222143634926,35.319013419018574,32.04192845677727,31.207620866037452,32.57907531784987,35.61714657322781,36.120577386704106,41.55219699099249,41.95375855679468,42.10697997965941,47.31045900962026,46.53138643147752,51.9394039087059,53.061622638253375,53.154990584924015,55.8897319082399,54.79192728290246,59.560394573995026,58.05608516803382,54.09015134953841,57.616344221685466,61.16821988686186,57.770982179867396,56.896955473753216,61.000736353112885,60.938713394170854,56.67192545486988,57.79486214412793,53.09285176634637,55.15810922780091,56.38564651201334,53.02690008864537,54.11553941023988,53.62154548679765,52.17968229717426,50.242284038227346,48.32375352525165,47.47226493988381,45.3384332883063,43.58836897498696,41.76782690597442,39.158483943737835,38.034488289234005,40.01045479902423,37.3807464938467,33.481524970207644,35.89553241721435,38.30799835541371,40.256655733003925,44.029232671233274,45.826626272543336,49.47780755671855,46.312623826683456,43.89814341468265,48.94930229751279,49.32072745609364,46.43461642817571,48.44203468211104,53.181093926104566,51.00345952301947,48.15526885462987,52.36294336086037,55.19224629443124,52.81185483058859,50.406705319032596,46.39533192175179,49.2961558443404,45.679742276231515,43.00995913800426,40.20490727220388,40.02446836203678,36.34071817924807,37.917728040408946,41.16624087353474,44.540796614859055,46.288881906729614,45.99252068105311,44.08848814579292,47.13068670972597,44.30001120782974,40.37551339670609,42.370303616649075,41.263366736228896,40.60504296841652,38.82832452493247,36.16248257225618,34.939919059387556,35.19433147147002,32.050164074750626,31.02437263277235,29.397317218549425,30.058156294363744,30.795251982206597,31.27357818032083],[25.376604275152932,28.5694153624485,33.241915425838975,32.73065942962418,38.14571522714378,33.246935594012214,35.7518704745265,36.557468401098774,34.26499813269687,37.53387167276491,37.45543921760504,38.200587106418574,42.11659036175129,40.04197268830251,42.97034750184129,45.46739600487031,46.519274166216746,50.323423862936835,53.46839298778772,56.45124090024836,59.86704773025899,64.02439857383354,64.76544641957206,64.7899513669855,61.82923215621318,57.581282030414876,56.12713047374283,52.010474359969216,51.31239409673445,49.64855748602726,50.11231095297118,49.494930145700245,50.82499355263367,55.21720715232993,54.93514324850983,54.78013993149274,54.01707578452052,56.78498533974736,57.63336326670158,63.55215664076521,61.02299613599111,61.08990385434946,65.56730986015187,65.84773436533214,66.62615901039538,65.98231971651578,70.14589807989384,69.89184345298523,66.07782874253203,70.7204744645663,73.4180936477385,74.03104106267855,74.52120742525466,68.32958648899738,70.65130529194856,73.988554468116,71.6630084325525,67.8737545821861,71.19417999191373,74.28991992647158,69.78517718959301,69.20245744872973,66.2339661937422,68.61678642663165,67.42987864782754,63.46890015218734,60.00628931953761,56.17763076338215,53.5165755140968,49.79704184498611,49.265682588281386,50.02997318989269,51.73913810078612,56.43315944990828,55.31513353185342,60.74924231519624,61.45929254332999,62.78743475091287,63.16911783233185,65.64547469891363,63.573375989810664,65.77207478128634,63.25837575868271,63.31562552001103,61.175764361627465,58.61481494658516,60.43130554990799,59.27151867104521,59.15771922136341,59.60730516949101,57.05681964356398,58.25297523777489,54.14568122071647,51.38987565163641,47.560206647234956,45.6762073938617,42.469178738727166,45.23814991937013,42.954876243661346,42.180719437904955,47.448294117555584,46.76689828809504,51.01125052202542,49.72958092929629,54.791194031247564,50.53763445438017,52.55985596012692,52.861298805459796,48.626670015409196,47.49710000369423,43.5361760153786,45.18841029740446,41.25168490845229,43.779631793672515,43.17201280177356,44.869046474400044,47.45589907786997,49.186933100775505,51.717721013035394,48.71787842274973,46.05246754012013,43.143815532180575,42.994574349631804,41.25861323481988,38.85806360850019,42.6603696354943,40.209631357630165,44.73916761746566,46.929714699221435,51.20162566638883,51.7062872350707,55.26855841583052,57.31057725199574,56.91605496742585,54.64716020777408,50.952104533180695,49.338290082799325,48.54524363067216,47.3448115280371,49.812459066536675,51.87679639205704,56.195598314859204,54.44592071273219,52.23667268451416,54.774269671551416,51.80464893420807,49.37219388933813,47.135005187550775,46.22671489627481,41.93630304506925,41.8399911227515,38.19334060543028,40.39844359498413,35.360978369797266,38.0006916882253,41.66981634014328,42.416104842328565,44.43184974931425,46.57488462746984,48.196780334237864,50.5318381248933,52.87653807504606,53.40709068762369,57.21534677062977,58.69238091366726,57.42164609490491,59.15712133668031,61.04611355516598,58.22220155361612,54.98187627056474,54.93683823743926,53.22739662878296,55.80206013674335,56.12457382321375,55.815742597193264,55.13838071174383,52.82092331258257,57.26079102926453,58.84683754498168,59.671710690726975,60.25925885243113,55.44896831936725,60.623220771289105,63.643544090831064,61.485579471159774,64.37906920641127,63.010210473328556,67.81673818545497,65.50694633122347,67.6368950037391,67.94202131708113,65.27633162384882,64.16300868627421,61.52824992285203,61.13612787349597,60.560758793831944,55.658457997646394,55.48244452980186,51.92515930145892,49.79077432596987,50.11272694279899,47.284987756504776,45.20712152140192,45.66908488166147,45.3916948250491,41.22436835103851,40.64731920434342,41.946195551016494,40.21086528249246,36.01801064966127,36.65656138390238,36.463829375581945,32.850729773261115,31.852679632210034,33.829879165687956,36.711455737391226,37.77104398854124,42.894340046127866,43.19253883892414,43.696723914147704,48.98130469868047,48.544962891386945,53.75823878712574,54.775026264196356,54.52960736087404,57.12663074940008,55.66555754631028,60.504756183692166,59.21766141648713,54.891803933497066,58.25260362471835,62.0069542558159,58.55835371320669,57.37772996529693,61.36677327694786,61.535657410938875,57.21610443345559,57.83156283965426,53.33110853462644,55.14491253546988,56.622007946903985,53.49700880709621,54.46326952286225,54.250111311744455,52.393405162657324,50.46664545120431,49.00758313744136,47.93425846062894,45.4692525653765,44.088262458256516,42.486424540505254,39.69746223720025,38.63531391452944,41.12097437270961,38.55137518478439,34.42092534232322,37.21567237635614,39.93611758030524,41.73563355819268,45.43333929164334,46.852750606529604,50.72149941532483,47.8412815887812,44.979393767929224,49.95620242631821,50.64533243993107,47.69728285653869,49.27474540869992,54.32256778317624,52.34671885706195,49.11011987594987,53.11751486965226,56.323292547376354,54.03014763859382,51.35954487445039,47.14238108059676,50.29960939895114,46.50124298616906,44.18280128540343,40.89145698563936,40.638888815241295,36.5988719205977,38.09477270385943,41.29969475279293,44.81504408167389,46.36266699949934,46.23663782711719,43.810770531020154,46.78046523121012,43.51843023160119,39.917551245016874,41.903946267863525,41.14346408834598,40.06453366207892,38.13430071354359,36.012558723946235,34.72836838766151,34.230652139451834,31.466556566337587,31.053403601445826,29.37166595577715,30.014893704068193,30.916062040058943,31.46415350946834],[20.820395167305374,23.903054524315515,28.641798834218168,27.914348725660187,33.53169174961997,29.056484540539422,31.742030386437378,33.01686746075542,30.896740540055585,34.13960661422641,34.49720814284759,35.55190745079142,38.99690599546123,36.8847134343694,40.273153847152706,42.682154250952955,43.30968536524467,47.29147112305713,50.27126715623361,53.21448760531796,56.62687618729855,60.72389100490994,61.415762444396854,61.223559501874846,58.19985904132261,54.02181384484467,52.5012542165157,48.451517955949285,48.06491710220713,46.59607004328022,47.60463958248391,46.924662675229996,48.6758742217732,53.05262770090006,52.3919219478947,51.94315558004318,51.07859580448241,53.49331903300448,54.07772322898115,59.961295778873975,57.22510361823259,57.567031501182946,62.06293300061733,62.09426542018179,62.7225780085247,61.86306509203899,66.03002718950934,65.98402314626075,62.05220750347881,66.52397769895597,69.41351759905108,70.07409266386881,70.7408155914486,64.57458898565028,67.02053438100835,70.51326031354156,68.14701822307049,64.4860447984616,68.00867088567483,70.98486546758835,66.59700452012312,66.33212569084466,63.56192837169973,65.86140117786368,64.41492037514945,60.47089473550989,57.09969811702786,53.37391217318902,50.65950543722623,47.15537465440262,46.52027021599126,47.563150273048166,49.38699734414242,53.93199668950171,52.87730782437496,58.547674075389494,58.90207361756723,60.507974745692145,60.602055484143875,62.81477788737613,60.66990183949013,62.61791736132331,60.1255003622748,59.90942015436239,57.58818684079587,55.29544614855297,57.240700216519286,56.39156436465239,56.32400845761387,57.2502986347268,54.722343405306454,56.26097611034922,52.18145065780443,49.47394961850181,45.377608755391456,43.83288224629775,40.30024747379957,43.105629619400666,40.65125144632023,40.13941832378143,45.01154497942705,44.106265529763725,48.127641182256504,46.574426675639764,51.32280618020066,46.88684892691309,48.89326204030704,48.89398109498903,44.567778862424916,43.722185841780345,39.58675597187484,41.25122450110041,37.39263883362206,39.7537214115287,39.42004638633456,40.8956069789664,43.715069106731356,45.230505552249866,48.14686290295039,45.359887145039075,42.5615062116489,39.585914470855094,39.01534479771913,37.20265773464246,34.76388931463883,38.336434686123184,35.95466414252951,40.4611448812315,42.656774221919385,47.09785700383067,47.284034661167425,50.97678278280295,52.91994456426885,52.81377403789719,50.27750298926482,46.62745788119044,44.70591488042824,43.99671422163675,42.826159527261034,45.49382960593487,47.51231005358559,51.950039237805285,50.45084713132714,48.20242426084157,50.880393889224635,48.15679391027934,45.56516423269846,43.519503242999924,42.59469951892016,38.43108164971079,38.44545816628662,35.18518024266721,37.74948193210302,33.20933863442791,35.878267877625035,39.20973000561014,39.61784842222221,41.384264368984745,43.46216812303911,44.681038731220326,46.684602499611536,49.25275937341657,49.38525334658789,53.36299772556726,54.506336075684175,52.996629557009975,54.65025132315223,56.37890461385969,53.47502079414874,50.297930961407744,50.36161906000268,48.8236303227782,51.63029201123809,52.18503874485185,52.13725797408594,51.69529354626223,49.579240578935384,54.175841057576996,55.43465175475148,56.19874005590806,56.43034665653623,51.62475497437776,56.62082699152682,59.52080194294326,57.307157277676296,60.34113887426323,59.08852961791772,63.745354536638466,61.235427389219474,63.299240398356226,63.466897843176554,60.89025120538746,59.64546879812929,56.995417067485214,56.61202599874352,55.972389510675384,51.0503681742762,50.989040007328306,47.38403747211483,45.48670792966591,45.866126582535635,43.2785371881545,41.00518042534115,41.25148266563603,41.258232777845315,37.10256054395005,36.054008555453834,37.56074492052948,36.290368081921464,31.707539237420644,32.191307257855065,32.31715934455202,28.79475513599693,27.323849627853523,29.39190099471888,32.096640974550304,33.6158884409233,38.261141631100216,38.74075431170866,39.5433098679955,44.85806236768694,44.796701337498696,49.810841626532785,51.043723078661465,50.66573573989451,53.372021734496535,51.8940361864882,56.647049757601515,55.2184523779617,50.71542676383718,54.16266143602415,57.77694469386229,54.15628325315461,52.97336507709994,56.95467084035669,56.935025473769784,52.550743302347456,53.206202558249586,48.80488607259208,50.92391761262564,52.521561621875726,49.57629013975596,50.82371501065487,50.916432272908594,49.08174356590522,46.7952827313046,45.594689965911854,44.84080398098781,42.0832249282411,40.48788855581389,39.309824046594954,36.58969367528214,35.08178821734198,37.8005234350389,35.56527386148273,31.16096645406948,33.71011578161199,36.67844825539152,38.13340106922604,41.936777919944454,43.22183818009814,47.06251453988243,44.109192181844655,40.93423869078773,45.92980596599527,46.536564801762545,43.449278421923935,44.86762690514465,49.9985011550117,47.89091123088416,44.465470417927754,48.47987681201924,51.74117337064423,49.32887236526191,46.538686939002055,42.23178811756808,45.34394970598421,41.4399308673274,39.307192480715464,35.87989687513915,35.8087550176154,31.755446114317117,33.005137672174804,36.256257850053714,39.734151593127,41.36208348663219,41.45284170601593,39.102297320742615,42.266474383680034,39.03074560908923,35.54790486843115,37.98079994014236,37.41147059071478,36.620011809572965,34.22448511615164,32.07042699051051,31.277334417284013,30.6367509079793,27.368773499848825,27.265125449336047,26.122289271591463,26.972687077841098,28.069141684684816,28.711698643399803],[24.664969766606262,27.811607976464913,32.69186899116857,32.15428957965479,37.99183245508196,34.069271214519205,36.975391178892714,38.497971851454665,36.560766216947854,39.756744868930454,40.26380721146121,41.425995710901844,44.70573247465418,42.51022405508139,46.03608247580788,48.456591196672285,48.89811626290341,52.8792935921945,55.65942105149839,58.685960785126106,62.01222954343202,66.1185743433997,66.68010448856435,66.358728078178,63.372688357343215,59.21466177004013,57.77981507163929,53.81500515566875,53.631644393675316,52.295064768890626,53.401698592705635,52.77455530820738,54.590398589717104,58.94307830499783,58.22605995441437,57.675533077744845,56.81467131322351,59.05591944348096,59.49657346725984,65.35867669880196,62.45605093174496,62.92572860563438,67.43071402211005,67.29416363080587,67.74387645899432,66.7332567156176,70.86435242912525,71.04622549629912,67.08300906489676,71.37397152009193,74.43741190466038,75.17142108114749,75.9725235264302,69.83761257945189,72.37675404142126,75.94373278863254,73.52318146475245,69.96798960728441,73.58400227267875,76.45349358404799,72.10056321107999,71.96836004182336,69.26344591414863,71.4479453410046,69.92507558146032,66.04525221937551,62.58828373531667,58.966151183925405,56.103031214852834,52.71617937203757,51.93200859582497,52.89498782976381,54.91096049185588,59.42039785953792,58.546110960840764,64.25591613770004,64.61672869004262,66.318723104484,66.38487061949824,68.53320040624821,66.38788467565631,68.23553248009333,65.74342903370682,65.39574676298527,62.99498895173007,60.86298992425986,62.848610980396145,62.13279274059364,62.04045698908376,63.097994423326014,60.53122552907981,62.06250938531509,58.005942762151506,55.354363194320506,51.24546661938336,49.701769484327066,46.15357500324529,49.031750324979114,46.56866443576059,46.03041712372617,50.870897781233325,49.80937530512598,53.82932269972336,52.06765824591797,56.629248286896996,52.06344650449355,53.868084570748216,53.642890412133035,49.22830433376599,48.680457871084826,44.540441605006826,46.395404756344696,42.685206134689125,44.939025494578715,44.79168539657543,46.05173469203549,48.97244430172403,50.233705861442914,53.2855779558576,50.7336484254728,47.81319792413432,44.904493623543765,44.03297158105559,42.2967723185642,39.92168286280509,43.253237049424236,40.85784823762587,45.31698472387972,47.3854798241167,51.95629839515129,51.73854480153599,55.44865448422677,57.44084875775407,57.6388942086213,54.948640184228374,51.43151478717965,49.09949435006399,48.59163346745778,47.447838130762484,50.33637942771501,52.15437510807136,56.68672573662597,55.454799891850186,53.25904278031596,56.066003781113984,53.54361379170555,50.863998698832276,48.97428972348687,48.02542282783741,43.951966886795674,43.90752426205223,40.847315563599935,43.35094598226712,38.89993262650406,41.70891240909659,44.994378990407476,45.39559583771294,47.00392851205468,49.13571838470315,50.09770125117039,51.945058427030766,54.67327086313561,54.513030443649406,58.61045794329546,59.46820491543069,57.67944368631164,59.223237892721905,60.70434424170166,57.67570302528355,54.64202863195787,54.85673172187317,53.56809350125178,56.600144638416005,57.34470481559447,57.48688336260473,57.14551300243959,55.181631508403676,59.78848723559,60.92402515679874,61.605235427983565,61.64400256479793,56.78387798444419,61.598212870204335,64.39604024344881,62.197094066503084,65.39970210261718,64.26079914758813,68.7729856424739,66.05007125236845,68.06489133097276,68.04758172589662,65.59064679086268,64.13159836313797,61.41961813437171,60.94954294507762,60.08266817737444,55.166680264853525,55.04434188759161,51.24824456288244,49.6726421520509,49.69231974664694,47.39338385774871,45.23038462617032,44.95156957296744,44.87832190945069,41.030401619059234,39.65704507382839,40.81683697244121,39.74169790350673,35.31475778251606,35.29271752949405,35.184293973660516,32.16075011846748,30.48035466630664,31.766390222345308,34.50460261705215,35.687378994493415,40.23174736393318,41.16711579101492,41.75509341076823,46.983594532767086,46.69048413761175,51.879949823329866,53.44858646133633,53.45905125476697,56.41506652589649,55.35391689959603,59.97792866478896,58.19517126853728,53.99564795204333,57.68496768993456,60.96706062607848,57.25431125837505,56.411192720645964,60.49572224433135,60.042616365908785,55.644246454080054,56.85218829754578,52.38102886098118,54.980003867831975,56.435954648514155,53.380169515710904,54.882333467266655,54.82123821455811,53.38100469117942,50.958677414804576,49.42007898019977,48.97911084217584,46.441661592365236,44.430641545749346,43.17857849061939,40.65626973166761,38.94760636476025,41.195170761380346,38.99178510598032,34.7612758450452,36.761048216358944,39.43998434739474,40.934525098399725,44.89853274487822,46.58406295858042,50.14790793208012,46.773583454248424,43.97868427368881,49.0804064773966,49.20838780690644,46.07695620564777,47.91303208388302,52.72561665919262,50.169019426135414,47.06892559300441,51.3597059889626,54.17979653717994,51.436430785545454,48.85325912860237,44.6815924918349,47.24784724817863,43.342282133328546,41.06436252829711,38.16740950705288,38.59155614909573,34.968382342066214,35.82386547006258,39.22700795861089,42.43783042053084,44.46696642089251,44.73946957623441,42.96865149683788,46.376156260866914,43.465964576373146,39.89771066248781,42.608480876684105,41.8671747964828,41.49691823797288,39.02929660800529,36.468397158141016,35.92239848489631,35.753517062401585,32.034855473691934,31.584906278213744,30.679134894139676,31.606411635408076,32.58290420964703,33.11733421519902],[28.00352977664652,31.019422133873388,35.783216625738035,34.73257239279057,40.481926377372524,36.199585354935024,38.69610373069737,40.05961736811412,37.59482306501375,40.4828724929814,40.590864914813885,41.85191625386457,45.28659836796825,42.76526389339769,45.997615797177765,48.644980552899185,49.24284759417438,52.9505285108273,55.62094720120391,58.88674813842889,62.06628145080973,66.3134484374126,66.74407611764856,66.56451552737937,63.75753234697291,59.49010790184057,58.32202913026029,54.35412683021014,54.058003761006816,52.807718595368996,53.28248331511373,53.0907061626378,54.61993008531145,58.835874344455725,58.43352276949073,57.912770603871245,57.413266789655204,59.67273521171623,60.314295801362704,66.3550863322563,63.379302776828546,63.46360221625279,67.97298850086227,68.02666337988157,68.46029316137462,67.70661078035641,71.79598989905777,71.8922788250197,68.19263523120776,72.65761554525437,75.59020733798334,76.42693706308651,77.00395470773631,70.89043326683826,73.51219281527523,76.81941019464041,74.23966578145652,70.67853105065025,74.20979511804086,76.99011773517363,72.39568061377577,72.01787661915293,69.18345378221262,71.20336744121032,69.9041485216958,66.12342019367975,62.34435181251032,58.756449755079906,55.70253996757167,52.225809530118894,51.343537018407915,51.944304621690335,54.079982758722146,58.69748008262492,58.04455110823674,63.61753489726078,64.38844207040812,66.03761526069013,66.41760200703445,68.81592069450302,66.94393575997405,69.01048437558639,66.75723249114402,66.62643802369455,64.19107792933926,61.81955502801498,63.46752853956401,62.7100160958898,62.248188719061424,63.07630321346644,60.278109149943035,61.44207404573485,57.41006893234372,54.89622323803651,50.96394304779262,49.108946516115815,45.76669201154841,49.01839514151295,46.861043148286505,46.5875276343837,51.50105871373523,51.00030894820328,54.91831019747788,53.66344094851829,58.47590827097458,54.098593006357575,56.219816038538156,56.189312628400494,51.86741984118176,51.04605519368496,46.850313204692995,48.309103862839606,44.321930462471386,46.42787376371723,45.75280539895849,47.01891502152156,49.61441110800123,50.901066176972066,53.4526199171394,50.88284446206791,47.965550316196065,45.24785059859449,44.70659009581596,43.270647771881656,41.1857849872024,44.92956113964719,42.96188401548639,47.43626312205434,49.75749856282509,54.23850761117887,54.35455342450409,58.14999586222681,59.947443891616146,59.94319953079568,57.20217934003833,53.46805080717398,51.45413240460318,50.50765612972198,49.060099610259435,51.757045664462545,53.29604015850608,57.6965493786273,56.271000481671436,54.276225654302756,57.06121229808691,54.4164475949621,51.88924103705794,50.05626044134824,49.394792511752094,45.26309542390555,45.54743330175392,42.16858255515511,44.818026553274294,40.081590314615575,42.530002280672804,45.995387653974525,46.343032561013295,48.363263914819356,50.20160894628854,51.68549640167722,53.49070555961201,55.826784373697286,55.8320353902221,59.87670294205811,61.05058200078104,59.3065034386084,61.18665016539116,62.70736553912749,59.90674506921603,56.66999107738828,56.95516264481343,55.37225895740616,58.3493942264671,58.995030119831405,58.94648491570256,58.61857737919876,56.29870023759791,61.00804805645873,62.224694068792815,63.146446836627995,63.29947163813478,58.67253234722677,63.665710183230736,66.50832851954675,64.17148363869606,67.03219428309349,65.5893376791036,70.23475875657286,67.4861337880129,69.76634307239644,69.97499983076747,67.5638464006364,66.38696691863115,63.822568917901926,63.545970590306034,62.93470467798557,58.013538192900526,58.08471781446422,54.454528807415855,52.7201565013665,53.08248356600743,50.61790219840552,48.30462956905578,48.385231726173586,48.45583960799851,44.395621110598405,43.09233636173329,44.56683250316425,43.454385282355716,38.87360789822309,39.10908535616989,39.18879237322334,35.90751238405515,34.24297022495194,35.915960167135715,38.58747803419725,40.015246368271995,44.461009484537556,45.30533795232213,46.043875038455525,51.310971081210624,51.116603052614806,56.248582621885866,57.695577366935076,57.53232059513895,60.36653727240702,59.0653164501713,63.76545485043367,62.169206251789625,57.772948156289125,61.32419697786853,64.78248562501398,61.07439185662127,60.016354734297174,64.01843052873117,63.76516736722404,59.34285427707855,60.16830240775033,55.835395497200345,58.176816065639,59.78864593446451,56.852340218726404,58.17835746329064,58.21589103140373,56.46773950261511,54.173675414926116,52.879361298261486,52.16731225459898,49.492692093099755,47.821074644376615,46.57329545240519,43.89799618463078,42.38993035630268,44.90757435640254,42.61668792055852,38.3268137977218,40.67433684236669,43.46607035962497,44.988430356986925,48.87041466900363,50.350939828194754,54.07172347942265,50.90415927666842,47.91097055547046,52.9579101747627,53.31880004482034,50.18197871127664,51.76917475406218,56.768547971934865,54.366628959231356,51.05101177564513,55.20344127744166,58.26090418345506,55.58516426688675,52.847031442529136,48.55046887742042,51.262617938659325,47.23679017739875,45.1970555646106,42.00377660770296,42.37783985424455,38.509415132677084,39.312392327706654,42.67627138383873,45.977405255830995,47.85981883853848,48.24725087909802,46.06508590406521,49.378961164222346,46.11123384857338,42.78836359459458,45.3764936575976,44.847519648905234,44.065478514514226,41.61363360655172,39.48925620352871,38.74340020448325,38.033878007908285,34.764513895921716,34.686662178227124,33.564958542816626,34.416757323551835,35.44239672590175,35.992887276471414],[28.632304476791322,31.426574541898294,36.102848647129214,34.54301609072727,40.35686041705009,36.30748090868336,38.631470448521114,40.26207709559774,37.57675942055898,40.15031288612548,40.298406689362494,41.88265157740273,45.02035799572123,42.203896592578786,45.55539273235505,48.30406233223817,48.6531776879252,52.244161881132996,54.62597276291653,58.0584479108837,61.07139119951982,65.38040435582239,65.60983753880356,65.34604122340123,62.65449828891487,58.38261883741664,57.41675345778625,53.552107605059376,53.46391004655212,52.47999768720502,52.87846573784701,53.006607681414344,54.630749991238936,58.698947832369534,58.24859644702031,57.50230993355197,57.223052558862534,59.16872608189078,59.72622944003453,65.85315744665077,62.62077144506477,62.638593673085964,67.15754793239032,67.1242637977077,67.36818937676816,66.61810064393482,70.65168239948594,70.90789572329754,67.33806058080822,71.73686476644548,74.75685708668321,75.69877852589345,76.26356454655074,70.21742403260484,73.02379891399521,76.24966106662703,73.49655859582276,70.070844207509,73.71104891123146,76.28993669688201,71.62653857477446,71.34012130148149,68.58407990457742,70.36578728954157,69.03080741577911,65.37749562577996,61.39572204357862,57.963017639781576,54.68690823264806,51.357802545176455,50.277107202902414,50.766910099188415,53.137308192917914,57.69251380404027,57.32290581927756,62.955154851749526,63.78140312020256,65.62195062424121,66.02477116502303,68.3954855028218,66.68924030989811,68.7260430231429,66.68044181135015,66.49081856873106,63.87085033773389,61.562479152647796,63.03678005901262,62.5228297296711,61.79101765793372,62.832326602740636,59.86433868957954,60.988193746678455,57.021857642014425,54.681425081283344,50.70835237050384,48.87020776395873,45.46490232517708,49.04033445397014,47.01080590660711,47.13114315561832,51.77935720461901,51.52044096886685,55.17098488147411,54.072161773754345,58.77774880248734,54.4025662509202,56.7027936066598,56.544890630097264,52.23261413362412,51.48825566674206,47.14847097115272,48.33295112694915,44.25259849021726,46.06474136133796,45.22172737555573,46.24736177144228,48.76090111739545,49.814980026714906,52.2700892295566,49.94007301439439,46.909425146440014,44.34215927288114,43.66266280787324,42.45699911937841,40.62732927464679,44.4282892414133,42.910083109350836,47.301341374823174,49.77986569389764,54.31689158158741,54.35097709731554,58.29908110289788,59.862973555754394,59.998555450840406,56.978798264687896,53.16747693219067,51.077525445106986,49.88778073243757,48.228902600682176,50.96805998217984,52.16190900586209,56.53545427710752,55.237312443514725,53.41274528826463,56.3088666135591,53.829057462626366,51.297949210801015,49.71590027649643,49.27635576478723,45.2498754589941,45.862288446475105,42.59187266081369,45.574489350490815,41.0158441283963,43.2298036142405,46.563002851638025,46.6192394528312,48.72879010678818,50.28711308352059,51.811969124898944,53.27847768826129,55.49198327272062,55.2430602216643,59.388985864576355,60.48984725333782,58.51670180259623,60.56597978458893,61.918419686224375,59.22360419173311,55.92453545553827,56.39541239931704,54.783416142161926,57.94158816651816,58.73488088179321,58.78263988119598,58.674345696912475,56.270689333927336,61.16253842051654,62.1577971643033,63.204469545039615,63.128705025712236,58.69926598728345,63.626711551973,66.3722251477402,63.89224536605635,66.61406338570688,65.04560877144806,69.62980601936594,66.65203847422944,69.07327991580878,69.31337010433191,67.04944304401253,65.95286578733271,63.49748194537049,63.36682408682692,62.85725242211,57.93933317766425,58.244030716336766,54.68452125590027,53.099345322874456,53.68535186690137,51.35636987258598,48.82251811519115,48.89131852437345,49.26736729475768,45.15621059493915,43.48351605411528,45.26232194896771,44.521665329423406,39.61757514155086,39.807590132691,40.20910837081939,36.954601326605506,34.92200127927582,36.746014244068164,39.19987735030228,41.07261735169701,45.009727582721794,46.03679499819138,47.05963070035288,52.33359216976892,52.43028979610965,57.39641195784387,58.98805656942216,58.68146831280024,61.55125870719769,60.15783572143444,64.80121166859854,63.16556357897314,58.57388926899088,62.124878824727965,65.51957564905034,61.67475522641916,60.53495094782757,64.47068704837345,64.11995747008639,59.644783440056635,60.33452770221486,56.19549999329063,58.676142052019266,60.45685954832362,57.739416311924266,59.19343769907862,59.49731391898515,57.62649460540134,55.144486870422384,54.150352091158794,53.536535983350305,50.61561761257982,48.96024599926917,48.00756551869926,45.32660652244014,43.620581280289535,46.38108800511315,44.28008580048937,39.82983278955123,42.11739079802603,45.08500531485248,46.38021459491998,50.291883333110654,51.60549042665197,55.345235511992634,52.19556122404552,48.92797430465492,53.94267648706239,54.30244704748948,51.06438163561966,52.42914182783417,57.52992425058153,55.04802406917584,51.516759142713624,55.61032913280999,58.76845347565504,55.98075661502078,53.09201510251895,48.684379387316305,51.30393823909607,47.11135415646325,45.402723140960994,42.041232444388406,42.65615070672925,38.738166302786574,39.174865575247594,42.55480567549773,45.795921968910434,47.720770295120644,48.422220868380506,46.14324445323974,49.56362326126972,46.14194097215824,43.113749883482804,45.980622947910824,45.71034270272314,44.92584707878216,42.167521434688965,40.27291140689188,39.780477645875656,38.69358754950295,35.34454977839599,35.68807992310156,34.80108912375115,35.67214583501814,36.75771674089879,37.26723027825415],[31.251450583599365,34.029525415880165,38.599321545518684,36.91008610773095,42.53606028225407,38.06641374163097,40.092129719772096,41.40821745336334,38.405037712220434,40.84039803770137,40.59869794988053,42.077346625005084,45.48384805498622,42.565188986858566,45.541984027292244,48.417156335056866,49.0492431262653,52.42200138782,54.856344129602824,58.38562788106616,61.34025974152933,65.72629929205895,65.94514426501942,65.86812064357807,63.286264521470265,58.944349261816456,58.111580199399235,54.210963556623675,53.896343798738094,52.848761690493234,52.70363871278146,53.05654969750649,54.35675576715089,58.35003086532757,58.21626590074991,57.626303213606825,57.55912812613399,59.68743200021354,60.47700377406325,66.68812181155319,63.55479222703159,63.25221339631386,67.75218444841488,67.94908976136736,68.29026158804795,67.78477447845697,71.79800317552781,71.87186108655044,68.48591007597281,73.06824177880387,75.90324487681309,76.84875975152504,77.20609380134513,71.16492355356799,73.9257419764823,76.94504985089448,74.15635206068441,70.6570265120684,74.14420651371626,76.75090914527453,71.93099219249144,71.36519391521117,68.45909176933634,70.21611284180823,69.11834545964899,65.50031201311344,61.359715820710115,57.88881293395099,54.588763459721406,51.11374008911212,50.06630252538111,50.27653860113613,52.605912379611375,57.26507745969669,56.940692658220854,62.381745316598646,63.550311101978494,65.22604548438655,65.90257009086292,68.50604102546903,66.96338685392938,69.22481255253714,67.28546531726111,67.33435350289213,64.79754702895002,62.2402607534606,63.49321872738201,62.805818118836676,61.8884088567461,62.595103688125995,59.52291861056199,60.32525963293749,56.37095937715386,54.07938938990559,50.32111820244398,48.20420933254606,45.0542147845131,48.7663908533472,46.96645498807751,47.122353822617576,51.93379228929464,52.05740621420862,55.73034362316229,55.016681433149024,59.98157125450523,55.801859334236624,58.282164206192654,58.376275568920015,54.16708428197429,53.13281778342049,48.852579977265606,49.821066762120545,45.57630027104068,47.4097633651994,46.18665599688471,47.350619987871724,49.58607620781974,50.798594087398264,52.82051186131167,50.34722145011349,47.41758874742888,44.96566789841232,44.68628315770176,43.63204696779435,41.93776100467039,46.04351719669798,44.6806332315764,49.08244804867718,51.68352822189493,56.073530627313254,56.46732597167384,60.386417771737264,61.89697635387515,61.75960860743071,58.87035343829644,54.92844184804656,53.197723972174735,51.75121571009606,49.953557000579686,52.46491331656784,53.60578417608619,57.832315012646504,56.28165456302292,54.556026706151776,57.34394855462154,54.66970989075548,52.30234617165678,50.638519393250256,50.340595540124966,46.236770642112745,46.96012234255467,43.37707660474765,46.2865008326436,41.42666308509895,43.41646920558952,46.946576022129165,47.10597023638074,49.52093361513703,50.95220381368094,52.91904037543912,54.530190754434685,56.43526893221784,56.49085847775364,60.5035048378816,61.94132539209397,60.1636776139882,62.41152582153413,63.908000662992556,61.37620305154009,57.93730824880673,58.35302796615605,56.49105159416138,59.467181892389625,60.07588146694618,59.89013081237174,59.67094962550792,57.000784383461124,61.85876052120138,63.04613165915206,64.23990293377477,64.40234167091326,60.09667266906552,65.20464786907613,68.03724515315417,65.52250629901292,67.9928497473863,66.21984177188384,70.94882954102505,68.09981876340339,70.6736524094237,71.11146869613056,68.80521647064838,67.93485150565503,65.56562206447052,65.53123041752627,65.20568622357462,60.2983616696654,60.64684611438804,57.21988617441958,55.40197180566946,56.179018135063224,53.625543338161,51.0906850708,51.50343915451516,51.83454153382435,47.57336974177791,46.19435430106583,48.0784729855014,47.0910501149672,42.255331173089914,42.711839318951675,43.09885569109684,39.60826596829075,37.82032245714745,39.911041628322074,42.41639856679694,44.25848223956712,48.39748230064427,49.208821493442436,50.20976752399852,55.51280532523651,55.55292367556307,60.54206049334526,61.91876434816797,61.51332145618864,64.23767560365897,62.66407029737517,67.39957643098988,65.97464191911811,61.31075460590552,64.71747636912674,68.31358108310555,64.56404777345313,63.263914105103645,67.14608517711956,67.05252971847078,62.59827123860867,62.995637382831895,58.88571365251949,61.02690117541689,62.85214980356362,60.1358397279804,61.349189246771466,61.603461906617326,59.5173119777378,57.260498877066766,56.33642194491157,55.42367668184727,52.51896929327638,51.172443237360675,50.07470664064292,47.271737471690116,45.85790980659166,48.72677158743031,46.46056055999473,42.06287228731516,44.683069713784136,47.65827122211351,49.090043703568256,52.89656692110303,54.098783378085685,57.970162425177335,55.019736745819955,51.71905725848061,56.683919157460835,57.273386434127154,54.09794200532542,55.3433573269396,60.555456628515074,58.28709260915964,54.67956009355935,58.65715070505602,61.98593462831013,59.349553803130526,56.4062620851865,51.96057253369044,54.7876074217636,50.601140883481854,48.92081699758376,45.387040084705276,45.78346124286308,41.684480381429886,42.30997890451178,45.617432147283154,48.97074884011961,50.708315773404856,51.31178564715193,48.714869056748924,51.95757654000829,48.318251914189545,45.36185707959707,47.93396102558626,47.70985758262549,46.56335159564904,44.015192586804744,42.39476013767751,41.586266706838224,40.24609247037681,37.37499381169474,37.81029946884007,36.59535904877724,37.34486913709846,38.41340898188034,38.91646224769321],[27.516100196604345,30.067461303021435,34.45369059348214,32.42910816139071,37.94187880282978,33.44110040418461,35.29597495954235,36.69941998669232,33.58191205969505,35.890948914411354,35.71360377592525,37.348020169183584,40.57613294530137,37.594626636717024,40.68648999342928,43.55385027130478,44.064826133191964,47.4666492690997,49.87846457832981,53.38787133900202,56.35405256936045,60.72615854397502,60.956201357014045,60.85455204369937,58.244212628451756,53.91227061685634,53.05742503109963,49.16529894840676,48.90615624407532,47.93212246317599,47.90962107617017,48.299202116033705,49.74506270833121,53.70528060852447,53.44195664785552,52.73986120246694,52.69294755057258,54.70095775377519,55.449190546423,61.67140056922125,58.49661239453748,58.21121908302648,62.717651843415446,62.890976936501204,63.235680138512365,62.734659879289254,66.75521601257167,66.81259952167319,63.42807342045724,68.02722039939438,70.85278801957162,71.79035873156455,72.15463084730696,66.1153524935905,68.91113842561643,71.91915327744287,69.10755001380313,65.63594980740183,69.16737845960535,71.73588604861746,66.94349122291291,66.45666550149703,63.6104884376747,65.35270849894192,64.1815110005607,60.55906079372435,56.45738570201989,52.99923385976902,49.704463818990604,46.27652874034331,45.222454508805264,45.56802151946647,47.89351405858629,52.50808568594982,52.17067714657664,57.70392241925248,58.73698531748411,60.51518832544762,61.094105906838536,63.61970466022737,62.08324386860458,64.29894181672836,62.41844875626543,62.42880178186047,59.822549987743805,57.29911471860429,58.53028253055167,57.94849989894196,56.997544174636396,57.86998729653579,54.78920814714703,55.72642044249402,51.782132362723466,49.51688674873516,45.64983250321706,43.66558480682119,40.38169661531368,44.16393281963994,42.35271913446312,42.740665796097076,47.32890099282429,47.53408499900858,51.02984321993149,50.38440668534509,55.286303622323956,51.13871604907462,53.75713130602189,53.831983391811384,49.67521765252267,48.608617896694405,44.26904314159359,45.03980392117729,40.73747668120861,42.46248744468116,41.170417043149065,42.30070712751601,44.52593643502163,45.73993497959786,47.797022388094064,45.32956604202253,42.385986943957306,39.91741684617246,39.62696089451547,38.587600760724634,36.94941633034041,41.1150289385009,39.94615304371989,44.30391119669996,47.00298703727791,51.36307613343373,51.840481263827776,55.810748493825024,57.192118469666326,57.027017091129174,54.07016495693675,50.07215272129854,48.450357686354536,46.85865894920145,45.0006163272597,47.45827186295329,48.59551423635769,52.80007828322497,51.219869564892754,49.49843736079072,52.28819891475982,49.639203332848126,47.26957180249675,45.666691022419066,45.44872722383365,41.39606475848349,42.2985033893262,38.79383058256921,41.9403370379401,37.3015961111657,39.12068972387231,42.49331844434489,42.446832289723424,44.88072834871298,46.160546085621505,48.13735320892648,49.60961861637284,51.4599203121733,51.468961275381695,55.489307894979184,56.946905714190464,55.1799093392926,57.49834979206623,59.02663000573729,56.570617473568966,53.07511892806724,53.4902210314233,51.54976274716428,54.51957804334563,55.14192031133783,54.970833554402915,54.840796993911994,52.145237737674,57.08741514699343,58.159514779682894,59.40687542102035,59.48721247012684,55.28080427367706,60.38202499587715,63.19102045097771,60.62355668572804,63.011427875302616,61.19580523405942,65.92378941803705,63.07062191658022,65.69121447626596,66.17742416880263,63.8837275644029,63.09641455786194,60.78554288400731,60.835718501823955,60.635052673681976,55.74863625449803,56.22640502819645,52.92753816917765,51.072028491888915,52.11409139161977,49.550097411810526,46.856547811877846,47.46757458269749,48.014148139324384,43.63669493263453,42.18541551774782,44.37709729384315,43.555480374796396,38.49960977334042,39.14140793230197,39.82815050315965,36.18982128353153,34.28811772370879,36.79063487170498,39.12947720900557,41.36417745777886,45.227807391209424,45.90311042244684,47.16991682509719,52.47544274915867,52.835184183789885,57.588751562823866,58.89209272777199,58.20933104897253,60.831637035074955,59.02363357658121,63.753281842800625,62.46307518412876,57.565993715778475,60.849375852727526,64.53505143260963,60.76518082777435,59.2730639948475,63.06012388310984,63.109649529585106,58.653698649084255,58.733630111016566,54.773101366306925,56.78324645720475,58.753868256074576,56.235134070196246,57.43416962651987,57.94121410421712,55.63998932315611,53.30122341735712,52.72649521348778,51.795979344570576,48.640304490076716,47.45830109269842,46.63020956121347,43.78295320894252,42.29343353728887,45.50004122305023,43.40535458542705,38.85954417410293,41.61199404301973,44.81417654722688,46.0414894944999,49.76965785454489,50.67090586915811,54.64323140592554,51.91251929571194,48.27862817736988,53.13914441635837,53.942279230180986,50.74554220565257,51.655732618773605,57.043803070256104,54.96650887971827,51.10112259973044,54.88928561153147,58.4694417964458,55.958616710918314,52.851709592201004,48.31366956908394,51.36901542585656,47.141385347168644,45.69177450107067,41.83206306744926,42.09272925944979,37.812523667742305,38.444025768786055,41.64915633680902,45.078966372393644,46.62693943746966,47.28513546315945,44.404155402641386,47.57661429468903,43.763126734174485,41.0202568230741,43.640719736360765,43.6529134476883,42.38821706243382,39.67030032237251,38.35816974230508,37.66853049669601,35.92374974192145,33.17375626205866,34.02440629630277,32.94319598214075,33.73197852392578,34.91207310434143,35.465414638147166],[32.53091122814972,35.031117605815204,39.289257070632466,37.093241822497085,42.4025285507047,37.63286597966635,39.128858913270726,40.25007811224999,36.7665641654148,38.78226883334127,38.14477641281206,39.72852683431773,43.158419990486635,39.977527424937726,42.598357512359215,45.639206814194836,46.4054117625234,49.456904400058065,51.783130943039126,55.472978840068755,58.27165970973417,62.738408840636104,62.86674652346245,62.94512130993933,60.54998381033413,56.15650024662912,55.5610113301893,51.69632451980912,51.25034170425968,50.304774271064666,49.56145893649871,50.352307641233324,51.397166453963926,55.18562033072132,55.32298840410897,54.74414918343207,55.0405561848799,57.14428275874614,58.1346332078607,64.44974424911653,61.30645868139527,60.61603765657242,65.06787870413254,65.47820005520192,65.84754417588621,65.62821251630974,69.57983267778549,69.50542822970696,66.40599941685358,71.16298205731275,73.80432945903661,74.81959830380123,74.93251369268104,68.96321485616889,71.76528531860129,74.49398812916124,71.58278786274562,68.09393727782997,71.4679232824776,73.97815461773722,68.96463286473798,68.15993788369433,65.16384771870412,66.76465723981218,65.88505478142565,62.38096599499604,58.0033276024455,54.58772930673321,51.17735622522359,47.65047463588756,46.55168562404692,46.44962696823398,48.82293852522695,53.526182394710105,53.38450946662863,58.654004764175404,60.167737413055676,61.79631702663519,62.74283385386888,65.54612586529369,64.28909733304096,66.7415819866846,65.08137406115704,65.3399381385891,62.78388737778154,60.00712114664099,60.90431737346255,60.199237357642446,58.923831637040294,59.43778935054838,56.17292953337093,56.65196827067597,52.77069392758744,50.65331413990775,47.090607384000364,44.74308583096756,41.81771519159489,45.86150185152991,44.40608456693151,44.9376839327039,49.62671157401357,50.35257218194889,53.788473191408535,53.628282172034524,58.75919225596129,54.849750372431195,57.67240469035484,57.97193676938657,53.938096271469,52.61206849677498,48.33557441425547,48.8202498173709,44.36237992964529,46.00100881666759,44.244122127511595,45.42395205267672,47.27287371105197,48.55124757050279,50.029670654647596,47.52333545699055,44.67698829645109,42.446502174400344,42.56958765794386,41.81645363472448,40.447272765492286,44.903452417353414,44.02307401746578,48.34005830606453,51.17909028076556,55.38253613512233,56.17875719504307,60.13584916289906,61.400512828127994,61.009927017327186,58.12203499693848,53.993755823284545,52.705625362261685,50.801241751574786,48.7339150010958,50.949466728335956,51.86737335519396,55.87684747516941,54.08480805207898,52.56227001817692,55.25628467694139,52.468301701497246,50.304882688485286,48.71492763768882,48.73063225680148,44.661856905549456,45.757862131845194,41.96537618884653,45.051779422835466,40.1457994877776,41.63453312056683,45.18133024398016,45.19414477873609,47.9860679718086,49.03717734616028,51.51193970624736,53.03238469493899,54.4858538078307,54.743232338568646,58.626405285693586,60.405260828199445,58.769535400414156,61.3468907978751,62.93812995274948,60.6931604245604,57.06457913387215,57.49655307953595,55.31013455677227,58.13715211777196,58.60967945871016,58.21423102806671,58.02601254283586,55.01986080263649,59.94251948124747,61.16651721394287,62.60692011015278,62.87807157352321,58.89270726602475,64.13616426287987,66.99283606072302,64.35753542994335,66.42089061378867,64.34489038921876,69.1809160722372,66.39071385703261,69.20959914660078,69.91127538067283,67.63916519162188,67.11128496643147,64.93166587536422,65.11592410244826,65.11128035742321,60.26313349198036,60.830891171741726,57.671215473762096,55.66158688771394,56.88718049065334,54.167098291429134,51.46011814656958,52.33874514630497,52.87816135401928,48.40119424967779,47.136371425054584,49.41785985267854,48.44055620668944,43.44757312971953,44.25208585550369,44.92401243845328,41.15642618887111,39.410421479425686,42.02686676226142,44.394094636503695,46.58893037011318,50.5518058466289,51.14246408672795,52.38801038756598,57.70073369946548,58.005940353982425,62.78177175698365,63.96139813247232,63.23461559478363,65.75382314898978,63.81780576608267,68.60737596225293,67.46861239448829,62.52049707711673,65.69330349947202,69.51527357876677,65.80404556639606,64.19075329859209,67.91537942803839,68.13793477084536,63.70156501369134,63.53763049855024,59.653072735687594,61.40641614576582,63.43285536236245,60.940420688573795,61.94439939173527,62.415903409402944,59.929650066898354,57.79222385454489,57.28674362800391,56.100873100934486,52.97064189550947,52.0587879302635,51.10641705131897,48.1687009802436,46.9333894795599,50.19370868824839,47.955850575618406,43.486384789565655,46.47016065207352,49.63853594687013,50.986464575513594,54.638916074014496,55.47413503699116,59.52872709398339,56.92984376307589,53.29831030172634,58.11558609654812,59.062129408055746,55.9059825155639,56.736780667503396,62.1897658952873,60.22547480549405,56.31239961115168,60.01775704486738,63.70435260494204,61.25722052213489,58.10961706829601,53.54605869239361,56.66768179530235,52.41717541134473,51.03333545502561,47.08849794702838,47.284091438877,42.913344403863,43.57789955066342,46.73340270673577,50.19814933499565,51.6407611055945,52.3021585267487,49.18627038554534,52.22498745427696,48.214595810868985,45.61342276039391,48.00103932389842,48.083593577976465,46.49164227420316,43.951250970991644,42.91803069828891,41.97169763736376,39.969955153512124,37.683642386252814,38.61607446964652,37.29133020960846,37.956711143996245,39.09195525069983,39.6340379388169],[33.306849430958124,36.14580119983873,40.59869248918091,39.06210709688137,44.400268486933854,39.3757407236447,41.163585096944246,41.974587811529695,38.788520040280076,41.252696883860146,40.57653213887228,41.719525827277366,45.57469014753945,42.77039613321586,45.24747097708037,48.16663535518051,49.258634286334804,52.46395188916389,55.14746634949477,58.635003366948496,61.628824749116696,66.03978085125085,66.3778353368813,66.54616908473446,64.01414314697803,59.63558412477467,58.80021189190514,54.81156404312374,54.11822700988468,52.82933472330547,52.16600484031048,52.54082189208353,53.42985642894004,57.42035204035803,57.65223415283512,57.37885077224629,57.39188160857731,59.90980083514391,60.99981762059241,67.21753826672685,64.37211058892856,63.77823752421921,68.23163334789024,68.73916133365599,69.31049600028642,69.06198044492447,73.08792276593006,72.85851323787243,69.58378763285086,74.40327633892852,76.98210851922498,77.82308989586566,77.95926216220136,71.89916045702213,74.48576362685867,77.327434622815,74.61811429796977,70.95453042243476,74.21153430110911,76.98353881538961,72.05645419030564,71.13249453008349,68.03253018604563,69.92184340696654,69.10465357194732,65.44668420988982,61.30340152883326,57.69819217170875,54.55840879531857,50.84528123098456,49.98696754685275,49.99466406280139,52.087157845277865,56.87108180364423,56.38569126839866,61.55864156021239,63.03831542333601,64.40380468734935,65.34741839805548,68.20388089996855,66.73283718723691,69.25748358139151,67.30538455689374,67.64800488767665,65.31940535033443,62.45848278134894,63.58229075483878,62.55546126867624,61.62318226615076,61.83511670190993,58.78058955148881,59.272281209499155,55.307799523796874,52.96024589589213,49.473981222259376,47.066320637074156,44.25011546250112,47.863071326732744,46.2387806393551,46.19781736680056,51.30985018425569,51.70447217062386,55.53663739518037,55.154999989284555,60.43986375698389,56.49622929565893,59.068137737971355,59.51065700389898,55.42897783504436,54.03344510679801,49.92260849528767,50.802831398308285,46.460304719275996,48.48827989753896,46.977158029440446,48.43875548223619,50.42566285144963,51.95779073703274,53.58704771708112,50.80922504334926,48.08360613359562,45.66214786616824,45.897756364320514,44.85028698248763,43.142942503198874,47.50733218095143,46.06581592234398,50.48353201989019,53.1169260452949,57.28930464156643,58.128679688371975,61.912351576303394,63.49193614071016,62.969151594923886,60.3999039362039,56.37942012527195,55.102174853558104,53.527716264060835,51.7249156552776,53.95167069201658,55.267836284222376,59.33548863856652,57.43789506915444,55.7075701098592,58.29204061198832,55.31458183990233,53.136052640954745,51.23027151727411,50.94736708965138,46.72230886072829,47.368937194053856,43.414656374737234,46.0299401480576,40.7974457737112,42.65212094479138,46.43481283084776,46.8725698134621,49.54990501491274,51.00099468854013,53.41072484702581,55.37711158498431,57.016818163177405,57.56068174291448,61.34991432977038,63.195893269681996,61.786127750098,64.13021720718453,65.89497422844909,63.479251138655634,59.936651502372264,60.16889268969219,58.05954903227252,60.707496794111606,61.022483276299376,60.52225582926916,60.05060259994037,57.15532124287831,61.849222414195616,63.36974388901529,64.6444578906836,65.20519479557503,60.93087254914213,66.25550350781191,69.23198418335112,66.77420208634457,69.04894811807732,67.14083949887299,72.05108324868421,69.50907533196595,72.13501244659226,72.77655509467786,70.31761207584215,69.66153419003838,67.33014428074429,67.31668439788164,67.14167276349905,62.26249144274148,62.52460154983041,59.22486100847187,57.06979986625409,57.95179078745359,55.08092198945376,52.66506367474997,53.47742511263775,53.61102503191945,49.2167190577561,48.35927676316666,50.21687513809753,48.78336642910967,44.19250863503421,44.980266539815176,45.21744965275431,41.45847808056307,40.11972987964594,42.45763898513875,45.09558774251305,46.72225225155398,51.30179707950086,51.761538491842074,52.6198288247619,57.93621890693718,57.80187272438896,62.84827522964133,63.90842564994871,63.43322501427173,65.95086723672863,64.20337238170578,69.06031534024062,67.91538815135375,63.259017650225786,66.48429892248122,70.34639561278478,66.78295436728442,65.33235956207686,69.17190161447945,69.437551537405,65.04669481741261,65.16616313157792,61.00002809889692,62.666423080778664,64.45316625517064,61.643813295194214,62.51479655469586,62.59526151214227,60.319468147576316,58.41840687906626,57.44817755421999,56.148241703360874,53.38141704588517,52.392976461113136,51.01259582339323,48.08736690827807,47.10010851198412,49.988249071705205,47.476857670157955,43.231229410297956,46.24669528453023,49.153812914349366,50.81940195649713,54.46808991364052,55.59093008310404,59.59867183718695,56.89854974557456,53.675750564124684,58.57400678283848,59.44323805779777,56.399265197891914,57.59031136241509,62.87553647873473,60.91994126253643,57.32273140956133,61.17304925088023,64.65913128078306,62.274988021146406,59.338122519131666,54.90565622636797,58.034662512811785,53.94399272514937,52.14248585846696,48.48409857829217,48.49755848286103,44.225369549194326,45.251079262162975,48.45657432380403,51.9681302040625,53.4593560540666,53.78026670267294,50.87615522147089,53.84538647008355,50.059954138558794,47.03826530132061,49.1205079885652,48.82149671871986,47.26570416334344,45.133319826448535,43.71761956935481,42.438152235387854,41.009225713395054,38.742238894407805,39.087332197648465,37.37958290399625,37.87151954775095,38.80118857331465,39.23811512116413],[29.731199716388847,32.572570636322425,36.90371249455969,35.60232465773368,40.71771430289554,35.38740753283099,37.15859719172403,37.695478464391535,34.619983309116265,37.30827625094492,36.59033155147663,37.472458912098084,41.547739909440196,39.02364089543899,41.413376858718856,44.218582399428186,45.51845201629177,48.84763990271509,51.830989863243,55.11476295003561,58.28987593771377,62.61916002742047,63.17999107648109,63.43680948343263,60.76208340090757,56.40197427329981,55.34033998681136,51.25720527789437,50.36401060990427,48.8404961306183,48.315746976016946,48.381094879573176,49.254669458493545,53.3789232612901,53.58181375307684,53.477371140589995,53.282710928933156,56.05618323931249,57.218877193030615,63.34935817732217,60.75666030021955,60.22664892146058,64.66845491855713,65.26086367029686,66.03991307127595,65.80830222172305,69.8870624835112,69.46379219761502,66.07589826798471,70.97070912714723,73.42840209468136,74.15239891451908,74.28298257766184,68.1693697690774,70.58197209693901,73.49156814048692,70.95183078068929,67.16658379367907,70.33033792170637,73.28543009590678,68.4564679000538,67.48873349107237,64.34404062183704,66.47973479514414,65.65150313493263,61.85908342007732,57.9663101195843,54.20493983413029,51.32361005371338,47.484680025489475,46.85178652240895,47.077381511386776,48.895565956469625,53.7105936379041,52.89546563550831,58.06922516050683,59.38713730454985,60.61550818446262,61.46827797710135,64.30449035002742,62.67009251265247,65.19986124884782,63.082047308810466,63.47605696434165,61.30466171128941,58.38705100480636,59.660785450693965,58.44411775121292,57.76405461969329,57.85511437036645,54.97532113807262,55.60796660466674,51.57565726166694,49.05489566538753,45.541642638227316,43.20456191491399,40.366642837527316,43.67855197463948,41.92270203084328,41.634879447554006,46.885725244590304,47.13225790830009,51.11195498186221,50.66970257668031,56.04382036701403,52.152032897463386,54.67424961964176,55.27115111423701,51.24698904464559,49.70447249465279,45.709817953434516,46.67985612044811,42.379685823661276,44.63110235948652,43.208433280300525,44.91445549483369,46.948361290348586,48.74207130450876,50.465204344774165,47.42790091935051,44.839355395344796,42.25789139040479,42.67041957055881,41.40080020517351,39.484616463035984,43.84927591550983,42.12806958426667,46.57293222205432,49.13033126422211,53.1887140105115,54.22848079901145,57.886746861053325,59.58309192046227,58.8629232654939,56.54278401713676,52.55317649541432,51.49185321949887,50.022692424862484,48.388580151119186,50.49714542300602,52.162447934570416,56.20458123935623,54.139473084206415,52.24837424647534,54.6964706075002,51.553388876065966,49.40124452302347,47.269423079943486,46.830321855090084,42.5324514964385,42.983680249146914,38.93072898910573,41.3729200714814,36.063892186521386,38.0018982380597,41.84113978042566,42.443585100119726,45.081706551519325,46.69532044590043,49.121140922433106,51.34858694162073,53.036311976666454,53.842720263778915,57.50894109888958,59.483181622591346,58.33853692450954,60.57139477211412,62.54421163122226,60.104767568242316,56.57558138068728,56.61262702431786,54.450721170408066,56.87907769625792,57.030025532013575,56.41701806174119,55.77420582609387,52.92026551127664,57.47984445317163,59.16233292252091,60.363063500082646,61.123267782682426,56.743996496406446,62.144711526000606,65.20730369845036,62.85206431264255,65.1731152913096,63.3418147720387,68.32538562120634,66.030577202823,68.54740575249902,69.21477780042986,66.6171895780617,65.97343214302329,63.5992157130004,63.52105289603115,63.371284542604656,58.514218810469636,58.659303997786296,55.42439020182181,53.06148039549518,53.96948050032368,50.9261064492028,48.603346745683886,49.6466433757355,49.65299521638654,45.19677674812831,44.69792032603734,46.525891825798205,44.83282424563326,40.40167800123349,41.43556504944909,41.615089076839816,37.672434029111166,36.64846835583972,39.233143876457376,41.915001068669355,43.45824326192996,48.28315741892945,48.422320154040435,49.231127170230444,54.53726650299787,54.38010555518869,59.38297693890632,60.202058000871936,59.607178920757846,61.97480540931858,60.09032303106525,65.00166077328689,64.04559673907885,59.37666291922817,62.47004348215865,66.4922423383891,63.06390726453386,61.511287353212445,65.31369569386463,65.83177756485006,61.50808912267997,61.45383978099516,57.23824070207552,58.60649648855676,60.348313836368895,57.49512169245265,58.18958157635268,58.218176667220206,55.84264445397056,54.09767775980795,53.14209162910476,51.6774682083291,48.94947187557587,48.142495325816725,46.67784174361589,43.69980184141033,42.90404990970886,45.86239084343023,43.28825283177467,39.08938919288833,42.34205095898265,45.27318986489286,46.996501839594345,50.517482741523025,51.51810861020649,55.61033971914464,53.12330908497152,49.88147784052251,54.69815755869939,55.78579773692093,52.84111521458657,53.937213651094055,59.27519954647,57.59403186983673,53.984571048113715,57.702471686163115,61.31512742038256,59.173286430431794,56.24184960593651,51.84535719872663,55.26195746785271,51.30391719973142,49.40261515282499,45.63189831379262,45.27544309462909,40.89541225562167,42.29774272047861,45.37839931889062,49.008766407861,50.272803416026626,50.319973154917825,47.245693248418846,50.01068273735054,46.21935566553771,43.096838039599554,44.87741027798227,44.51828162377034,42.80923381198028,40.891272988764214,39.55082060160795,38.049077736211636,36.633234252566155,34.650570671835375,34.92820141916869,33.0289040484207,33.49539314534738,34.45207229702437,34.96042573336951],[31.756504021345386,34.29914434716655,38.34841010640735,36.49866366847425,41.37340404237841,35.936859725220515,37.21906324192889,37.68515391213101,34.15621070881055,36.370128113145164,35.32111728338451,36.38771967174671,40.38025495120366,37.54400967154451,39.64339613688962,42.62149911619885,43.961135454619125,46.96138018919172,49.74982422779637,53.22286772468255,56.20321177731142,60.61696681677949,61.02896765237612,61.39967151104297,58.91781214732416,54.51571993693845,53.731144462210324,49.72522369785391,48.79085759548963,47.4456571057507,46.364749469729155,46.91917102762299,47.588124575899585,51.48066439838706,51.91383236246776,51.75075087113433,51.94371606421497,54.5914696493034,55.89045118668024,62.12924400169849,59.44254420051083,58.56578002385022,62.968826616320335,63.7055881553759,64.44013478415054,64.44671832449694,68.446297429529,67.95900539895516,64.86009625614135,69.85804684297922,72.18636659278731,73.00513197759187,72.94209536322334,66.90953758925359,69.42020599495308,72.05245711792342,69.35163540890248,65.62986887200431,68.72696039525549,71.5245139262351,66.51796243692377,65.38228043022292,62.18289390405823,64.10419288048149,63.45233995732435,59.80697488850417,55.64058493646149,51.98394150988093,48.93392563869364,45.102416988042826,44.36097301281267,44.264128807473206,46.194222579414536,51.02565881084469,50.4685340331021,55.49897773981071,57.148018112318084,58.391744283645515,59.49393191545515,62.49635405757308,61.1584474217818,63.84265359489362,62.02499141927983,62.58087572300744,60.333599752753486,57.262533815194665,58.175171356787864,57.02262974366616,55.946351087996945,55.930218291123026,52.827110849364,53.14941594523642,49.20235501454485,46.89264509109534,43.554938684108535,41.007635315181766,38.36715065396878,42.07223257687885,40.66992921230134,40.830250546160734,45.885303945445756,46.7259860467627,50.41157627778644,50.482233431320616,55.941979991937906,52.27573893513992,55.11887285953945,55.828417987189134,51.95598508410347,50.22502762206588,46.19896333677329,46.69001787611234,42.20680233228318,44.188622833114266,42.27513300327166,43.90627855475101,45.58171120008934,47.34440145701584,48.56922506534387,45.59152115269724,43.04670824875709,40.715411708157596,41.41938926665822,40.48527856167153,38.933807404699664,43.57584861281605,42.4052981896267,46.72896526701721,49.51472317611519,53.43576652792092,54.7475467072323,58.4793020789926,59.90131310990421,59.04016651000587,56.626585240319926,52.47973388381553,51.729025811146414,49.82725909996491,47.91411701970329,49.797588916932504,51.150877368201435,54.99483353833863,52.78499798999759,51.12769648113239,53.53049690969816,50.358216246882535,48.38138967007496,46.40233274292776,46.298195020327626,42.08084629234295,42.94607101523544,38.77260529650508,41.45881945027383,36.18516800142488,37.60698974103819,41.414456417593286,41.800144671787294,44.77714395701228,45.97566444594716,48.830227461693156,50.861970749791524,52.133183405083805,53.016099684758544,56.60242754292265,58.826715879782164,57.70977201904708,60.25295912408698,62.227348971563394,60.054002273298494,56.36764230984198,56.48805381353805,54.07203801312516,56.442512185550335,56.53650339132833,55.78952933589465,55.24721409574819,52.09268852372813,56.752318593663816,58.39243240219122,59.837350601580106,60.60963836927507,56.560159928996775,62.03232660860433,65.07213530931146,62.57727362390213,64.52266827794055,62.40800592847568,67.44404569913384,65.1166047543741,67.88038455230496,68.75960269496917,66.2532876930528,65.9006288597338,63.717304882115556,63.85789874493606,63.98447978357399,59.181213490124414,59.57467258458588,56.5690412531676,54.13136567998903,55.44200596211787,52.3409994600007,49.82280870275467,51.190650904688475,51.45693877546237,46.85227814861832,46.296133083990654,48.503644057245246,46.96574004687237,42.3319226937886,43.574522375207586,44.062975539723624,39.97538750986319,38.840175073359205,41.804927380125555,44.30122837550706,46.22951737068713,50.72498012118379,50.79661188855731,51.87037049163901,57.169158595449275,57.282319531523434,62.08241081721903,62.82729580273149,61.96516916148233,64.20102938571434,62.0376258765514,66.95188684008782,66.18090328306111,61.25915852478795,64.17746061440394,68.32142308621776,64.87914196715077,63.083620056260486,66.74240245994442,67.4409561895108,63.116655581748994,62.62186991388542,58.64995707802157,59.78821483816461,61.73189681588773,59.129904536480396,59.714629881345495,59.99133875340304,57.29174946195371,55.575499635392184,55.03186769264994,53.409897127651796,50.4438380016127,49.961991941258866,48.712822796284165,45.65287309317095,44.91833476571378,48.21935043898332,45.745909054774216,41.466761950515156,44.92173860699183,48.02947793185017,49.60661617000761,53.02166802620475,53.70723389297075,57.91672914006394,55.681183708194204,52.127976783578035,56.815159988689274,58.13830082500557,55.17728264490511,55.90757070028484,61.429853716535234,59.922259834408074,56.03854297016151,59.54266047777896,63.422302214343695,61.36451363731865,58.24914392027705,53.74552645183797,57.30260419576608,53.24745041958546,51.675001266864506,47.59156834182334,47.20410822847431,42.64853219276925,43.922554024324455,46.892111238254856,50.55413774684849,51.63099830434792,51.840327755424376,48.38048083763392,51.02606879639705,46.923894574883846,44.187122316479666,45.923453684576025,45.88680109343382,43.85486532379826,41.846579682391074,41.03256839843885,39.532827846008146,37.49436056358757,35.93797008463503,36.72553826074777,34.84253536774035,35.24412728882573,36.24289674209566,36.73922824675493],[35.73999320765082,38.44755318698756,42.6209464215216,40.975514061733,45.91097907545313,40.43646371101271,41.78969974200045,42.135352921302115,38.650615749517925,40.90685172792079,39.736425838832325,40.6503599665442,44.80209974229853,42.00944147067123,43.90932802716799,46.89834420763528,48.39065811667397,51.287797782948275,54.08812942332483,57.582070673921855,60.51825894413737,64.9506506359066,65.34189210468197,65.7773669422235,63.365917187437134,58.95998138280728,58.234953963098064,54.233362305863416,53.20386314924333,51.793389154495756,50.468093099220695,51.05567830325398,51.502284333153185,55.36315185380851,55.99733301089415,55.97292969570012,56.21112526643791,58.99173999560198,60.384930660009886,66.61494981680583,63.99694474890928,63.01864941010869,67.39470094967906,68.21967057026264,68.9751656824019,69.0472408368616,73.03164538229056,72.50746860243814,69.46256352517952,74.4975516000283,76.78095698225748,77.5784701166416,77.45142474281687,71.43101253269087,73.89149843970145,76.45567627942282,73.76699125195303,70.00934042812085,73.01617284568366,75.84876793974509,70.79238056608722,69.5061273942514,66.23145499612343,68.14588652587923,67.63733296540055,64.02358581664636,59.80256780687664,56.14722224273163,53.10854307338995,49.229790657199224,48.507011182334885,48.225937770053555,50.12511823260426,54.97948849229478,54.452405690671426,59.303380347751244,61.1642247610488,62.25980748360364,63.524109233717496,66.64648874754349,65.36144705032392,68.15252347449638,66.32421130305546,66.98745602513186,64.82128159740688,61.65894630794229,62.51762929906026,61.23408750986501,60.13477254959935,59.87976974988901,56.774539765828834,56.876929252902016,52.9646204964007,50.671552494091806,47.52383445128221,44.811657776771,42.39373733865179,46.0369224094334,44.727573895504335,44.71055255170323,49.93927047297863,50.81729449590938,54.621472742905766,54.74660246749518,60.3018042076664,56.67948884297558,59.45677882501263,60.24161048692369,56.36449941398304,54.59068408686607,50.638116446621176,51.22469612718245,46.764161641378706,48.820387494109944,46.87982633395373,48.55110412301016,50.160052730720516,51.94604713299658,53.02822956288118,50.032754872991056,47.53468877660128,45.26320371327289,46.053700693867256,45.152991398325646,43.600391716651885,48.24645633237041,46.984012609326925,51.32454241339786,54.06181540450411,57.96188364153924,59.29430964600239,62.97695022595213,64.4822183964968,63.571815426158686,61.246155773957476,57.11668506549615,56.366820006231514,54.51154699997336,52.60790244568761,54.48086618699608,55.814872420164846,59.63170072664563,57.38883868052704,55.76072578600131,58.129970052085,54.902900365586476,52.976665186451584,50.944679511983125,50.81722185023515,46.568033538473514,47.321219202745525,43.047160164236026,45.501693339157164,40.032580969044425,41.518312325176886,45.4571140431798,46.029557158837854,49.04627752628152,50.31983063716254,53.2660510485772,55.43035094857027,56.65708572466305,57.64710545696801,61.18381089154261,63.47489063881456,62.40270062978326,64.94366703337705,66.93231609710509,64.74142165246352,61.06090634006554,61.16927888175777,58.75490547640539,61.081040290297295,61.11761364266145,60.29830133972246,59.658836959382555,56.46510992162681,61.026011214895114,62.80390315578964,64.24532948068077,65.14582774122603,61.066385672406575,66.57731828264356,69.65245528788624,67.1935577263238,69.12913762944368,66.99449747786687,72.06181195879402,69.77844448523727,72.5417383846399,73.44656065241541,70.91260185789139,70.56395718552307,68.3593984576509,68.46156363030795,68.5410589567144,63.72781766541178,64.03371563006269,60.96619617342367,58.503108040148646,59.662658161366906,56.51648814634953,54.1195953529322,55.41722270747584,55.51513113854408,50.96519840395695,50.519350106311556,52.5306722524913,50.817404604620535,46.35831039372588,47.51889188955443,47.79147644199458,43.76459968617431,42.74866204054804,45.47459540284599,48.10516974525298,49.75293231360793,54.495996921388844,54.619088328319066,55.497766932424746,60.80415479152307,60.66786279840141,65.64374254888384,66.3870395377649,65.70523262324649,67.97150235803598,65.93683515689352,70.87501335898845,70.06497545485226,65.30309138914619,68.27108756100873,72.40254704017103,69.00352421899002,67.3087693081214,71.02665419351793,71.68405756435469,67.36281869611697,67.03161851413945,62.95332761560848,64.1009036687232,65.94688714659384,63.199196573489665,63.72593422892997,63.79261831596802,61.20432591283932,59.61739290066592,58.827678885184284,57.13891414793355,54.38023802414615,53.85537267509575,52.36711509746583,49.3194323305482,48.71699595528555,51.784223905426614,49.14593401956477,45.00678800539761,48.43191060234054,51.36781211354972,53.129307369563826,56.57191925548338,57.45233945473743,61.616426461509256,59.273318451745,55.95980542885318,60.710676295865476,61.9350992451644,59.00506275725207,59.951947371665604,65.3743450262716,63.78131369862115,60.061717872098555,63.68055040139148,67.4231040508758,65.3086839868931,62.29341161777519,57.83691378471451,61.284065164445515,57.24462316660964,55.515127103038424,51.610822102828486,51.28101111712652,46.80783275391714,48.104802762765495,51.14613760945502,54.78729655996966,55.967265154254115,56.120825860830955,52.79478490819879,55.45711487703904,51.43601261185041,48.56159265850478,50.19856902045395,49.99471717081296,47.97013250242141,46.14941875826855,45.1645816508089,43.515320726157086,41.739081230930616,40.186639242860174,40.69465914355829,38.63106470606114,38.92310459531904,39.794512565529985,40.20528357091431],[33.5833059949359,36.586578084404515,40.97429845785576,39.994153305771434,45.056121502021114,39.57952617587934,41.391639970681375,41.66457878609849,38.66616853746709,41.45440722089839,40.5514751221877,41.155775713756036,45.50478194858373,43.123761517979126,45.224130826984414,48.00909870325213,49.57668792214079,52.81710532015689,55.92639847721229,59.16516927248607,62.35310568550016,66.68015038964508,67.29644428755299,67.66829880163495,65.02467800871085,60.66411144253916,59.59581905218939,55.484589756673714,54.39749002592774,52.71218559899425,51.9244358707471,51.926496163528526,52.51873060810995,56.651824208875084,57.09350096389504,57.2200702496511,57.01125130577514,60.04326045570154,61.349912462211854,67.43858597662509,65.02401256227122,64.38750212366881,68.79542826505748,69.52815236924778,70.41062340917874,70.27056795188234,74.35018473037026,73.8060196439107,70.44749506813825,75.41627518808525,77.77094021602922,78.42036487968302,78.47026720826226,72.35266057608654,74.63953776694653,77.48736579451659,75.02477543194101,71.1498939036552,74.16929487016387,77.23584296354751,72.38126423713362,71.21198190625348,67.95681395535551,70.17851817548177,69.51948943959722,65.71424898643446,61.84098891814928,58.02060250470085,55.243258552003724,51.29337314793043,50.76196127836726,50.83980805985658,52.52717531451497,57.3917527571999,56.49147773033557,61.453803912833344,62.9710819004431,63.969785265678276,64.98690071566685,67.96529946821495,66.33212710792327,69.00696880323943,66.81106548796299,67.36399601431931,65.34736948009967,62.29260681614843,63.550474617686035,62.10128130462793,61.48323157063301,61.23564888496224,58.41348029647785,58.832654912987635,54.81034107120156,52.24538786632931,48.95297716741781,46.435781314464464,43.860079560158425,46.99859946639643,45.31878250760654,44.73649984792742,50.24435505771268,50.4994083857777,54.66905127950095,54.28638299494232,59.80948142993922,56.00589133527528,58.43037715084721,59.18247731436792,55.192291108085286,53.537800391263886,49.693073882757936,50.79087143579902,46.535081078046936,48.94586478219824,47.49917993548381,49.34213832876693,51.29640018963813,53.21537227027545,54.78326424855524,51.62545882504221,49.14609371473437,46.58567686833655,47.18442553962442,45.89228372397589,43.92087203151513,48.29804335711352,46.397248651001526,50.84840908908635,53.319587889700216,57.29174119181871,58.44008353166192,61.981661171350325,63.815817542133004,62.95573453082931,60.842410491588495,56.88886396801677,55.92630961681152,54.53774725401755,52.96988154913177,55.007838777235825,56.76953408486353,60.761645788178974,58.586468535105716,56.67871544381974,59.03144907326187,55.759070270650895,53.68675051534255,51.41147753364354,50.89782359835596,46.54326389409604,46.80077849843285,42.58721918107101,44.678249424475524,39.10404761960122,41.12627952572694,45.14703339395999,46.03365746720374,48.7168038088701,50.46705139360792,53.02654153454298,55.50740555040484,57.14218667651846,58.182326691012165,61.73732843964155,63.84945178994007,62.86356458922897,65.05350974313843,67.12036381515469,64.66305813409569,61.14803756328046,61.09720776952626,58.91145651920071,61.196417888999875,61.211750868521385,60.46257603199566,59.63823945902073,56.74501924764334,61.131578727746586,63.042858141010804,64.21857121079752,65.21329955930345,60.768291647863954,66.24100738333121,69.37608069963002,67.10421183421984,69.41941693002968,67.58781384990934,72.63353915238818,70.48893211720836,72.96837673658952,73.67907947540037,70.99786388327247,70.37127871763094,67.96498279025715,67.81956059550076,67.62748069078675,62.77683998441182,62.774615844793374,59.50451955746088,57.035520904405935,57.77270286127541,54.615424921777354,52.485164351820416,53.536946341319464,53.288917853354654,48.895577662208254,48.676736126972415,50.248649322342885,48.245296127332345,44.12234248824163,45.148937137330684,45.039777724992696,41.1310635947494,40.38320301212542,42.752408973217676,45.602210224749555,46.74109580411833,51.94243212788721,52.02175454396128,52.56383749193301,57.847085099865765,57.36768818862772,62.55150109683223,63.27411548446748,62.85819303547803,65.19755782974252,63.42447732134691,68.37246780758389,67.44495784473916,62.98664740367626,66.07677112030886,70.13335540430876,66.82400598579804,65.35969495192269,69.20722501309498,69.77235384692202,65.48997780477231,65.56646479087168,61.217682705276275,62.47187527160125,64.07243745070149,61.03422856180886,61.58166281153064,61.32719389261209,59.05628843896265,57.54258597783485,56.29334357670005,54.681395626086456,52.23851954780838,51.461506178548206,49.671383352023604,46.70130443501557,46.15915242964167,48.83745318384653,46.04276701314574,42.073341099129266,45.36551454202738,48.066283743138975,50.037814259017935,53.52161030013128,54.7112035347401,58.76356783643853,56.237888149676756,53.305198136164755,58.14493322953834,59.19158018133349,56.3382052050535,57.658527461606134,62.87384055906298,61.19971229393513,57.80176872590305,61.593349853210796,65.07436324849309,62.96273032733811,60.168691894688706,55.86311667847005,59.23781074099883,55.36315280100483,53.24412128723909,49.672072189773445,49.24905469663822,44.9536855693611,46.51127881277437,49.61350002095304,53.24414131888736,54.53940473867007,54.417211888661,51.44643266702286,54.136427219028164,50.4463041386312,47.14314158502343,48.66936188628407,48.08938279481182,46.3225679339563,44.73528518599657,43.24349294055568,41.46923068677613,40.36522530296256,38.545533838843355,38.462831396398535,36.26800033507828,36.54511018934061,37.31618312634922,37.71726139014972],[31.280956427118305,34.13484419191915,38.214528214303286,37.29910024833969,41.94351632757348,36.08259690952549,37.634936206549746,37.49839059599784,34.45106410608677,37.28364207752446,36.147877711491006,36.45990117629449,41.0662244050729,38.91600604788113,40.71145075204496,43.42115591281817,45.29055438703527,48.493831241191984,51.865087552253385,54.93394263302649,58.22837536350942,62.48710395942671,63.28974752747104,63.827233564293195,61.12451209324588,56.78639076044936,55.59215120839728,51.42354313729231,50.061439827689696,48.16304177224348,47.238949016962934,47.091091186013465,47.51704671261632,51.69488174284159,52.247437338526126,52.58300278561774,52.3090947057939,55.611552780652545,57.084095693400215,63.09807399274822,60.96061194779156,60.223749041900774,64.58030094776223,65.49596089839936,66.60084694687517,66.59960106171577,70.69115363595924,69.88958255622038,66.54743587414883,71.64643177407203,73.78990770362518,74.33353380992259,74.27790278101217,68.15001534588245,70.26684978066136,73.04551558090446,70.71294418385226,66.72476360217931,69.5836446022749,72.79682260466134,67.97496366763214,66.65482915598872,63.31597550554567,65.72900214865922,65.16275966583363,61.27988562390322,57.584984133317924,53.63819549882933,51.11222470598312,47.0233312117788,46.722641053456904,46.88405696403417,48.27416811063891,53.16612917617632,51.9912379768137,56.83749163412679,58.34539045603014,59.15551749367341,60.20554738729236,63.251557961369244,61.57043550484169,64.34595343365376,62.09187836454643,62.80447771739127,60.95516652992685,57.748776725495475,59.0053178120743,57.333022314493164,56.83570285352767,56.345804204430046,53.640872284562484,54.045329202782504,49.998276801273725,47.324933337326165,44.13043214264108,41.574854298854866,39.12725431454453,42.037688834024486,40.383969980586514,39.657263156731894,45.27888536089541,45.64330321403484,49.8730117937063,49.6772252053355,55.356547653972726,51.74715037096502,54.24969153252079,55.25495304100183,51.42212634598033,49.49343793506808,45.807089071019035,46.79564134234059,42.532376792457825,45.08999626377912,43.52131952342009,45.62142628921495,47.43970746635997,49.649421474584024,51.065906508254145,47.640209690175695,45.36957425276535,42.76197258448827,43.72135950846154,42.335667949110785,40.29807350937585,44.775170691428066,42.79754165194526,47.19423591853152,49.663533628015706,53.40905259366328,54.92811990288608,58.33336004150796,60.18219183868051,59.01344166426724,57.175744209912246,53.206143026846966,52.65212674800667,51.199504952844045,49.70896647033561,51.487512888029556,53.500728054953775,57.34731596263918,54.91499041440331,52.93947374980629,55.091750359132334,51.61071425415378,49.67202591295576,47.19396147034224,46.645317002274936,42.25341329775241,42.44179328358818,38.038177268968106,39.95997129731272,34.26345602096277,36.14989550828676,40.25406338269768,41.28898398530802,44.08887297232164,45.85325960788961,48.651057157406505,51.375562985236726,52.855322912706995,54.26426440591036,57.61121800772698,59.998183888389605,59.349098838272525,61.54538072542123,63.85092682254468,61.4973518437593,57.93884506505525,57.69775524149664,55.34057751332713,57.31867194060946,57.10029799073013,56.139325606000845,55.1383184995568,52.15174930396922,56.393329272789806,58.503065645943025,59.700580288124385,60.96366006072601,56.556945341389486,62.14577220777992,65.36966455530221,63.16639907271092,65.35103894132241,63.48007365620943,68.6277415599014,66.77263469953101,69.23140810997636,70.07430153134061,67.27519523987472,66.80488305870898,64.44172935342799,64.31870062106941,64.28222408323083,59.500230856914925,59.4643911280755,56.38282418758941,53.637109775586055,54.57318435613013,51.18431261508913,49.10151590091254,50.57197319332143,50.272885241002506,45.76237356484291,45.9654823578617,47.64705776967166,45.39104011652661,41.41682123561631,42.81842053979433,42.75943106173015,38.599122148462094,38.19972840379569,40.98394172648486,43.795358751035906,44.97601116659239,50.30179237835903,49.98634294571517,50.57086610614139,55.814372135110595,55.408621819772975,60.44371829851617,60.84770661075436,60.18699645083172,62.281632064575874,60.232999197120144,65.23838936196229,64.62108872044026,60.06053024561471,62.90743755209017,67.19997251503843,64.05729042251973,62.37466070171463,66.10825645997369,67.0466672976035,62.85361337120273,62.54113741459445,58.2493871363198,59.036712709094296,60.66118734932524,57.68007120857859,57.94796039542286,57.7181274339768,55.18843766009813,53.907635032157025,52.841625271024434,50.938598134197186,48.47002465552374,48.07640350387125,46.253184302053796,43.18916825316335,42.945465729658736,45.828743432706105,42.99030574834136,39.087637844542584,42.74805692197014,45.52357074752864,47.51239632975311,50.778452024502855,51.68935505180513,55.8807866560446,53.727180802359705,50.666245688511474,55.334980150198966,56.736772106874064,54.00795750520655,55.06436297575779,60.39577424773602,59.11858297388651,55.61138634950744,59.14687969205691,62.871970562280616,61.07759444385085,58.22605295552672,53.936760437338165,57.673730746201706,53.92195115138446,51.839271393454325,48.03373189097049,47.18470951996141,42.722547444755605,44.64168267517873,47.538607959695725,51.29492124621999,52.249623687307455,51.881724385785574,48.563549602537186,50.94162786481911,47.12736764024707,43.88439356821481,44.99206322504281,44.46786417463535,42.354975595248106,41.041707350104105,39.88030810706954,37.806565529511246,36.4708466135085,35.24300755798961,35.273425177859046,32.807406292864975,32.96822181128121,33.75320137508489,34.19369272236418],[34.1541961523805,36.75115341234055,40.47248596944234,39.292307714120085,43.50767255810301,37.381794795269215,38.41479696598057,37.90044057278603,34.52396675988008,36.995407863133856,35.374111400065836,35.537444618187145,40.30850101392404,38.11105003942957,39.32120806364473,42.106202093816165,44.300327518808416,47.13474161247014,50.52654367521799,53.62386140075743,56.801353659719176,61.075639366615114,61.87439273212461,62.65623416343147,60.10817282187593,55.765707787444384,54.74108017033654,50.61753192525916,48.984368709895335,47.05208480414917,45.43805500690687,45.59922899489576,45.595543063111975,49.57802622606974,50.522380355750435,51.043999352381284,51.06404021594345,54.521076252615686,56.26183580056384,62.28015455790101,60.30565607182942,59.17562944617063,63.43894511773882,64.63783827473048,65.86660876319242,66.1785927703554,70.19189456042558,69.1523082732663,66.08497837652166,71.35028478436773,73.22187168692788,73.7586318460615,73.44416371452866,67.39280537857796,69.43368598880218,71.90733903225953,69.55286608498847,65.52534921617415,68.15723451553914,71.36231952256898,66.41233238322783,64.7698130142994,61.287587172477124,63.65924035888173,63.38613730900677,59.59315065360285,55.78680680453874,51.848413300183005,49.38680817151916,45.19286715951877,44.98711907828021,44.83870493354447,46.07384744561497,50.996933153971035,49.84769938373596,54.367543227973734,56.26013234062688,56.84995756606289,58.220424151104005,61.512520777542626,60.068149041013605,63.090700039249064,61.03255354197987,62.03978643319202,60.303967754615954,56.83666964425617,57.77037622708734,55.920866177532886,55.180493396015905,54.28312891152336,51.49251516497028,51.49680067913133,47.532319372420595,44.96935032079629,42.1300020644832,39.2768746659358,37.250458841837094,40.25738438853536,38.98735124023924,38.422800831001226,44.03025019553901,44.97590452846417,49.053096544614384,49.42798040640972,55.30147642731146,52.04020687763267,54.78831797560898,56.080258193125175,52.48404942614711,50.2289279977641,46.68780839094981,47.28103222146963,42.91715643490648,45.37771584980383,43.34499234773201,45.56333560645924,46.96542383921975,49.34265331562579,50.184423214507156,46.63085851749924,44.57881591185761,42.18593447054719,43.65043976975094,42.49152615162745,40.71008125514846,45.42807000619649,43.789666371415414,48.03708526123974,50.63416641287057,54.097892921508496,56.05902576807997,59.39082353974886,61.07700317254593,59.58389385245826,57.907270199375496,53.83828685016201,53.77717295050862,51.99043834445355,50.35188179173747,51.780504868916196,53.69393600462631,57.262956553488834,54.54400985577307,52.730890941830694,54.68536176160971,51.02881687201874,49.35683457199122,46.848809429814004,46.531182214488,42.195417361407884,42.600412330795855,37.962357709107806,39.812202587581375,34.01709478487511,35.38677942380104,39.56253066789556,40.626973894681136,43.77901163637656,45.25030685577359,48.58202564943579,51.371762639095856,52.389960185325556,54.157727851484005,57.26065002290871,60.05357360698247,59.66451334832565,62.08911512628354,64.54226567471414,62.45263704824471,58.769854788229004,58.46798036214645,55.82276145887497,57.52780537364781,57.08244544965041,55.84056110121431,54.74806780692855,51.45394719903243,55.593713764836515,57.878101291540546,59.276559853181446,60.79840401946953,56.67372290956682,62.38819018776093,65.65947485392635,63.42211628587215,65.219416606336,63.09877420953034,68.35726669348526,66.69492741841096,69.31960531175618,70.4173285251155,67.6108250819967,67.46408310810412,65.2698898372408,65.3054263675608,65.5472949099284,60.86292077987843,60.94665670299237,58.13387221142301,55.16683206117734,56.43850045155202,52.86608300691916,50.74394003687939,52.65809872568159,52.436569684177044,47.812140375787315,48.2699309945381,50.179960884021604,47.82474897680384,43.90950529476802,45.61618408939684,45.70334808326942,41.370782470287594,41.13772943001902,44.27371045665083,46.975858676272786,48.30917689829589,53.55416689053141,53.00273184939576,53.6996809884751,58.89002949706715,58.59406982492019,63.470679642675954,63.63109503723979,62.7307195770779,64.5905929139912,62.25022222591549,67.28112188074117,66.96878080845642,62.26744090286792,64.85196353394313,69.35057625821541,66.33311601780213,64.40199549263885,67.97444850751106,69.24772274661754,65.12576796592514,64.34198110554803,60.230831822810494,60.5679861020122,62.29390273336881,59.47326688954856,59.454750812230024,59.31298509755478,56.45289671022068,55.41945543264962,54.64935477379782,52.42870476723785,49.89901884719972,49.964962897553896,48.172599106251205,45.03095543001396,45.08196652242281,48.186750506342165,45.34180420854473,41.53804432412466,45.49523256034546,48.32716448329972,50.29511776142619,53.34660724263858,53.96047438729123,58.26758959706927,56.469846311968475,53.25400851890741,57.73099413517452,59.45083875121358,56.811984573196284,57.5569212618058,63.01128273843039,62.0489969728381,58.38145477755098,61.6573877331842,65.62962685730737,64.05524466267626,61.09968161450492,56.78380183891319,60.754987406473525,57.02167024878826,55.12328566902099,51.07499757887009,50.00613024929779,45.39588666346959,47.41579157197469,50.13786214771787,53.957410163538455,54.632233206025305,54.21703703418992,50.503615852403385,52.60096635013409,48.54861759390763,45.58802917856064,46.349373550534175,46.02167277490487,43.47767358965164,42.37733979627117,41.73667201626653,39.438969034775155,37.6395982188885,37.10191583146082,37.44472774456304,34.7956656526765,34.84142664675122,35.593802728738474,35.99754175854268],[34.06087237851335,36.34145526753046,39.74269483331777,38.137046591656926,42.05657502439173,35.89354533521933,36.495548513765215,35.91731537843428,32.214635140999235,34.2919974366243,32.42595501254295,32.72487013042563,37.388043592396606,35.004543765448325,35.985183507502775,38.8695888326218,41.08751984986255,43.69333026609414,46.97842813690453,50.15923247652549,53.22036681576573,57.52837962524703,58.25430898107355,59.116302898813494,56.68104453821585,52.33524711225702,51.4672799855922,47.406467949677165,45.7329949082243,43.92664389940195,41.96173334009437,42.459431083574785,42.35470067893874,46.170532252625605,47.22948355952173,47.686646562083375,47.97039277985745,51.31568926611633,53.14496707717623,59.21298973220999,57.193963747873305,55.83894134860752,60.061728981029006,61.36134880805386,62.58179685071694,63.05780897075417,67.01028906721317,65.9060829147798,63.03064201121901,68.36114522141855,70.12797034735871,70.71620059384273,70.26489243798393,64.28140785048906,66.38110190803006,68.6722404189906,66.21869888772925,62.23667485177378,64.83112592409118,67.93189042225337,62.88264885699631,61.15147277064989,57.65281169346254,59.8957683682546,59.7172921229069,56.01120049088068,52.067180563689035,48.189806199968636,45.66157162406815,41.47133275661703,41.234663049487146,40.931780490627006,42.183637512479784,47.106670693550484,46.081784921471815,50.53562392236324,52.5891721432189,53.2149296313727,54.712809949195034,58.086782490023595,56.84088593843155,59.94585490038434,58.11050353390225,59.21073484112068,57.41776820687081,53.8596664394574,54.54306058586424,52.76323474163227,51.754643397809325,50.8331488955112,47.89688083614482,47.74718278337811,43.83377050554908,41.4102629608019,38.65645558687484,35.69230243934363,33.77875520690161,37.0646183028464,36.05083408010286,35.90136292274596,41.26937436339866,42.67626211359623,46.46357424756692,47.2322137631136,53.119530724533554,50.04843572201941,53.056329735029,54.41819301722396,50.97071510552103,48.580287296413374,45.03097008344134,45.217477813251804,40.746099511686445,42.98491893587409,40.60028553011577,42.78029620834286,43.911111888982454,46.29809720629047,46.79902708322891,43.25926936541973,41.28168599157528,39.05854366786224,40.767868010168485,39.82795591877852,38.31253142968521,43.19621312690292,41.989607692457724,46.097985934670994,48.857540686410374,52.179154154782715,54.36028628919815,57.73127528562452,59.180844932337266,57.57713388257224,55.840102578128345,51.67254119423673,51.887364193813724,49.78113667687893,47.96904571774587,49.19093971368972,50.92291812170303,54.31628796381576,51.477853084796244,49.817769873912916,51.70757940737751,48.03237470012015,46.501885267945426,44.10591106826479,44.04189997582734,39.804975195316246,40.55027196259944,35.877370885960296,37.97230812899804,32.335415203440604,33.22498538612825,37.29654190392527,38.1287178931363,41.52298634598461,42.638865622719074,46.272987915222984,48.88599155433088,49.585803768567004,51.41843312029706,54.4355813068776,57.41113417168218,57.077078191813854,59.709900091027336,62.182279031327155,60.30693927797151,56.52696806304683,56.26221200095566,53.427704120941556,55.05431150921397,54.560114594173704,53.22361629672772,52.224895486840516,48.72182367149952,52.94355377801673,55.15786513549899,56.736219541534574,58.24408965401326,54.395978080254785,60.13630420291374,63.375066317348086,61.039780299269154,62.54711908165512,60.22982856525067,65.51581862254994,63.85992982950178,66.63607307574172,67.89637857958745,65.15480450105422,65.23808442865746,63.20111714160889,63.409407785532665,63.88115023730198,59.26801853397262,59.55779390766283,56.96554971578488,53.94691064736471,55.57708161928145,51.98620522942203,49.69183045140819,51.8863982248864,51.91605734816872,47.189136218141094,47.59103045276065,49.837590347593505,47.66816100818627,43.58008761720044,45.47334324703632,45.86489148046581,41.43496712234829,41.10060283035364,44.57835393627874,47.07585270372621,48.784815289043195,53.67297264802238,53.03487057973897,53.993645041967575,59.14843189838642,59.154304386313655,63.78434526249619,63.87843996493854,62.7032614421375,64.43673706578505,61.83666777326076,66.83991121008009,66.69543167497443,61.75962740991102,64.17229804307627,68.7604745558575,65.73771177612987,63.58578277182943,67.00966269646753,68.45084589184502,64.35112737992878,63.16318216582326,59.29057626702577,59.418874072640534,61.325228221792734,58.763567639236456,58.673390927586034,58.808114905041876,55.65984182802296,54.61117490786671,54.26473826830556,51.95841009541138,49.17632622332626,49.520922592531306,48.00394003820089,44.819612922896106,44.869261260946466,48.307692152908345,45.63378528475165,41.74588180718489,45.8327059992754,48.84825726532116,50.615044375292,53.55199916611668,53.839689235918556,58.23249835099202,56.68487918985142,53.15885030680295,57.481872627158396,59.41973104528681,56.776400994142335,57.155952269696265,62.76030709967203,61.981626325582695,58.070097439478985,61.11571705478861,65.32757771867968,63.86272231998953,60.75071155705701,56.368188411738025,60.48589177074842,56.71115500731091,55.10639589496381,50.78835758995255,49.649598516882065,44.91320946756794,46.853188471519964,49.43172353658269,53.26592433108252,53.735992700884644,53.43393763046061,49.3939937992266,51.35447776365076,47.0675200530592,44.46690693409637,45.18931482753957,45.173441391497306,42.381868761593445,41.175876920571305,41.02139439679195,38.79371969767386,36.4294360677522,36.26373513572864,37.09199608258953,34.548044514387925,34.60356731549518,35.42395143507617,35.84210842798297],[34.82974801665101,37.29227500049042,40.6524096334665,39.76824999404053,43.450798232856634,37.02083981531283,37.79830990161952,36.70415273968446,33.44926898118235,35.97655898322788,34.042797126798064,33.667186663966405,38.79337718107666,37.024566713083054,37.687372503497926,40.297794611407475,42.95948919297968,45.67093130104889,49.395919621678146,52.21518504982509,55.497211970211445,59.64047368939949,60.681375512259024,61.69470714081425,59.106170557536885,54.84380386821287,53.66629321566373,49.51596499951795,47.48899752460889,45.23468248661882,43.36351554069563,43.27129992637412,42.897449426950786,46.90177814203003,48.10284427315564,49.00907724554451,48.91780618284984,52.804726388712204,54.78275117181058,60.6189263694841,59.08008227962081,57.82055765190338,61.96665096514559,63.42339763616555,64.94592306590012,65.43312269749161,69.43025318110995,68.06274327721643,65.02819626833504,70.42048733336875,72.0072091213129,72.37601164242086,71.91268566212105,65.88861862403594,67.64805681483944,70.01914683158091,67.88198963257895,63.701754380195716,66.05554803141976,69.48172908765274,64.60506436148516,62.70253792630944,59.09300199413981,61.73143136459677,61.652345714927186,57.78569897046466,54.2579908315634,50.18025055511864,48.11938891632055,43.766092254169855,43.90140781325964,43.79085165755375,44.570799461867345,49.48107816679405,47.95453342415601,52.167591434113184,54.119352633096845,54.34144217842583,55.81796482756252,59.23259712518009,57.724974875156256,60.910941041227055,58.734686712296984,59.992056855087746,58.559155587854924,54.89237334311417,55.83044882249576,53.60099649731126,53.07424360272269,51.70361470425231,49.13580147486331,49.01342832537725,45.06553347526303,42.3628501973828,39.82172791540859,36.86876617789713,35.2112166167012,37.732775808140865,36.555595564352224,35.610104686049596,41.42875207122678,42.467679052245984,46.68159266515271,47.27608649596635,53.32835512832009,50.36733141951857,53.087631467809054,54.71645662702203,51.34994369549917,48.78370086993527,45.56803478554468,46.13292280281051,41.88721751205182,44.5619567785332,42.46033875639456,44.9952502050851,46.20901139163496,48.92900558973574,49.55142990608925,45.689618429217916,43.96673103586746,41.56460510729106,43.46466981048401,42.19357024299343,40.32710460840783,45.02883740471706,43.20608329174976,47.324760843103206,49.810187964003205,52.93712389982312,55.304938797271625,58.38110801301409,60.158116853652466,58.286179781058735,57.04549286288214,53.04633350435916,53.443724333826374,51.69319918726756,50.22108620679642,51.33648977673733,53.56249793719287,56.922520011322824,53.91943493799772,52.03021655903459,53.689948756056424,49.78540920086054,48.32032982603715,45.537130232198365,45.120680318284506,40.79571047223994,40.974129188025024,36.14168584349129,37.51646501042605,31.56805741689841,32.78388147416697,37.07842512825467,38.4885217702513,41.723728453262964,43.28748630860929,46.88608919080723,50.06181941961405,50.89243000848535,53.16930806539856,55.947710479150636,59.0682517734144,59.11848581642626,61.47284979555722,64.19688176594,62.20588644818095,58.546119330827,57.995357006552766,55.21173808934781,56.494748325174015,55.73030508247577,54.202035412144,52.81431876866973,49.454641999400074,53.264688415002134,55.88752430496285,57.264902211051194,59.20282679954774,55.106410614997,60.91616037991272,64.29294685998488,62.209019574187856,63.87267333088134,61.75226768409197,67.10441885172155,65.85624327068571,68.38779677915485,69.62250264936348,66.66435733993079,66.67000768835277,64.50989001114012,64.51485919839777,64.87216715006596,60.307439943544594,60.257031712210136,57.63996946549718,54.37597537316568,55.71630089656915,51.90001386506507,49.97983373377941,52.27525294132205,51.85327631746269,47.23711077105286,48.26262067271622,50.087224190851956,47.352396124794836,43.845741794241476,45.865133461543294,45.83193954971581,41.383637479683614,41.640038925351796,44.95804631723637,47.66601586749257,48.787763054473444,54.27368450853371,53.327625072169745,53.900276932398874,58.96724949444894,58.56429812234597,63.34178950858599,63.13694449693212,62.111789304458945,63.695218176084985,61.17576135450553,66.23162387662074,66.24422225867664,61.61681532961866,63.93484406239784,68.64138439136717,65.88529900726931,63.81701698589481,67.27120929368698,68.92385342427268,64.95530755629922,63.88694488490809,59.793226224424586,59.59959482571483,61.23919746809919,58.39482548847357,58.010587663361264,57.726738096298725,54.702545255122764,54.06181158130992,53.3109487789677,50.74243852529813,48.39976815607365,48.871203959983916,46.88758263484645,43.722524777957084,44.223452025859416,47.30262227091244,44.350711586074176,40.84029650597898,45.08053269622988,47.79667012892984,49.88190725242789,52.645994059004096,53.08528640332703,57.44217521724561,56.00985771650703,52.89738958418514,57.15528795990839,59.17189111771358,56.74019162275535,57.354634380008946,62.78034603337569,62.21299363406258,58.6122329626998,61.647993279515546,65.7294996578444,64.49155332839919,61.59629995894512,57.40460626296042,61.64575818508643,58.12351161241637,56.147137275335275,52.05798507728468,50.571685208095246,45.94279003639181,48.35415092680616,50.853544476317175,54.73307923221082,55.09927122554414,54.34956388063059,50.429815060376335,52.14533425578692,48.11134870731459,45.15069718223949,45.32093972689401,44.92040109134974,42.04038764312311,41.45801476017204,41.07039711483063,38.373011207900575,36.58162992863515,36.75222157991464,36.98415614256244,33.98854242908923,33.85581152650435,34.46726585284947,34.853386428524544],[30.820651162505307,33.47096856262913,37.11471672366901,36.41075816370574,40.456876059369776,34.18307729908993,35.40432179040188,34.65755186706489,31.641394162665044,34.528167748471816,33.05052625636783,32.859944338857844,37.846147126752285,36.085236792531575,37.36441196743961,39.93191756054988,42.26270423178857,45.36550547434952,49.08329361253345,51.89426169092466,55.30686284435928,59.45190708522727,60.499180729682436,61.270262804994225,58.517611365811554,54.238812203223844,52.88968169948341,48.67415007089188,46.91448249686075,44.701402251087224,43.534125936143056,43.153865008706404,43.263758437908095,47.48367379261973,48.25481361464182,48.93789894927733,48.56771970245156,52.28384547432793,53.99676773996044,59.863998220307245,58.14209401441511,57.26149857790113,61.51949996722427,62.69525125534196,64.09934402752356,64.28954235254292,68.37273193321374,67.22925996320986,63.92590990803551,69.1759509474879,71.02691901763285,71.41412281551939,71.20361209450323,65.0858068339302,66.94166089882661,69.61662317034826,67.48169421714059,63.33797842310208,65.94079915349033,69.36594526480829,64.6021103753668,63.039208283462315,59.574407670053205,62.24910250887933,61.85379760608099,57.88566147626697,54.448867826540884,50.349588053182146,48.20074424047312,43.93555661820217,43.96943214844316,44.19352682307149,45.14511736889768,50.04635729566237,48.49726892867346,53.09545537223979,54.64049347747924,55.1280282229826,56.26348891159657,59.42490492444079,57.68290977481144,60.6182863497552,58.26449819555883,59.21950330360907,57.64573425779385,54.229017079860306,55.480735252674236,53.45545407313651,53.145507479545024,52.234598079458614,49.72244908625188,50.042703479948685,45.98769216174886,43.16870107498724,40.203279544011856,37.56039195180218,35.403162387482126,37.89871067944736,36.31241562821917,35.273027605057216,41.103287008877906,41.596171709822606,45.949116455851275,46.00385186218249,51.89230552391982,48.57764598264277,51.11658821340055,52.479219764619735,48.88054932165095,46.595297579594565,43.200343206742644,44.095332537270515,39.89269844687208,42.661466468101565,40.96573454971883,43.407458014653,45.02197991731868,47.60390160515431,48.78444647013734,45.022769234995614,43.07292206708965,40.439712443716246,41.88286324110945,40.387401615587756,38.27183280620599,42.80244131105562,40.68517458861157,44.964349126287324,47.36880772590631,50.77408084226861,52.76267937921282,55.93509633865237,57.84017577936904,56.261265951462754,54.84339988044762,50.90260728760018,50.87348670125599,49.39274728572069,48.04070058701545,49.4709463898693,51.805975323294426,55.434310369783674,52.68004380124019,50.627932729300944,52.48575840423962,48.733805482611125,47.00172967988013,44.24179581674442,43.61980031675565,39.209142255386794,39.22530100873399,34.57587601642788,36.11345373686488,30.221436805090324,31.937046633447487,36.18285402421663,37.51657232777071,40.44863295729932,42.27423816545119,45.38696013266663,48.48588621983148,49.753232502802184,51.684888520178944,54.71552988978263,57.466638090344276,57.27433976973706,59.43933685314609,62.04180607330987,59.81608947313343,56.24564172412875,55.74745107855683,53.20160164684945,54.747305579290504,54.20032855671054,52.940298239921404,51.66023474970179,48.570805775798505,52.53680632075959,54.96544047367968,56.17151776082904,57.84038327096044,53.4765636663663,59.19464006720914,62.53380761617332,60.457019929283824,62.47660869789281,60.57556538591617,65.83813355600478,64.39486363422313,66.78891504527279,67.79555099099366,64.84303346265395,64.56328916646059,62.25290287414133,62.130100793109676,62.25894430172022,57.59260223365036,57.46255071304157,54.616612232110896,51.5301261379157,52.63241506216149,48.96047271439819,47.025641882720485,48.98024294073972,48.53466161093963,43.96308360704642,44.76126305031587,46.458723851313145,43.829448733526434,40.20067672191027,42.01502604758166,41.91729276484388,37.551078421914056,37.65809820631467,40.79155782115966,43.56822972460546,44.64336986641353,50.161493513157176,49.3806872096487,49.91683053016816,55.049961284321526,54.62555489097425,59.50500565383921,59.50552359568133,58.624954003306264,60.40841009673396,58.08917312328635,63.141313362952495,62.90071905722531,58.32587119683721,60.866005573787916,65.41749999661263,62.5308156278655,60.63733380433518,64.22894201891123,65.61081501669598,61.56504699821414,60.84900338307948,56.61028968605239,56.801577007587326,58.391249813441135,55.434759994026315,55.31621466093937,55.01767263158193,52.23193610695018,51.325912738601055,50.38675788758584,48.0981728702416,45.723350174449486,45.811283667044414,43.854801371444864,40.71954991776153,40.93424600759806,43.925091977750746,40.99886899638971,37.32435756708446,41.37567704064982,44.118151112401854,46.18257093613611,49.13789557110957,49.77482261344965,54.07596775950928,52.36497109922106,49.294143719418265,53.72146450175078,55.50935412705038,52.98189258885012,53.799153974754454,59.175049604171726,58.367904591847015,54.840002175864115,58.07356927934447,62.00245586702994,60.59426620790026,57.748965537990635,53.5524124618081,57.64951825985021,54.10275515842198,52.00686605671711,48.05216913370328,46.709091197520095,42.15125644058279,44.506011318935485,47.13522832927014,50.98891518506396,51.55539747225604,50.84893420352261,47.20150083683345,49.15793845016526,45.27901376461733,42.085135237590535,42.57825310545789,42.04928635716744,39.51359965974978,38.686577051858414,37.89305749642091,35.389561654611626,33.90382022465055,33.49349879614613,33.53628006773091,30.689727977795595,30.684649074852178,31.38063254707689,31.83883488123833],[28.60319833219625,30.969952456241682,34.438818723813306,33.203187193189734,37.198006173134885,30.986803009229206,31.954181431123097,31.427660196686208,28.081129675452868,30.691112184959398,29.21903960344907,29.39102596461385,34.13155194345605,32.0719493125672,33.52395769137102,36.221148031027624,38.32710182965764,41.4071279069959,44.95256935163358,47.90358009448356,51.239817690175045,55.451295963369496,56.37831048197888,57.075846261178334,54.36966914517604,50.05926131153544,48.82275228931006,44.639686342771995,43.039509225191075,41.04678192145499,39.89239048056094,39.79244835615653,40.10855911715471,44.25161284015187,44.8841380933914,45.306920464567774,45.11760265501662,48.54308569620772,50.181968991490834,56.169443588414325,54.21678729390021,53.29249436324541,57.589265077675606,58.69238224628855,59.97590135560159,60.17199772817196,64.23759760148546,63.19188764146554,59.962636130729635,65.20216551410337,67.12121423905094,67.60744513449444,67.39422417575001,61.29440056851514,63.32471994684594,65.96008522307062,63.66698866237453,59.618529403530275,62.35825826256427,65.62396620105326,60.785369847067926,59.342348960673796,55.95494078987771,58.45674330793119,57.97058578041546,54.058342170805524,50.463745621052425,46.441420948007746,44.105689483001775,39.91421478706721,39.80653212371214,40.04644829858884,41.17384690422707,46.07195731270236,44.70586550262239,49.48918569905927,50.98788614162286,51.71938438905088,52.80430596080927,55.91068604164099,54.28838970251235,57.16834812053381,55.00538133681233,55.87292423376943,54.09569863334137,50.72902453375791,51.84984086439965,50.07838037420073,49.52962253502006,48.91513157397211,46.224434435142584,46.62784278095024,42.56831778586897,39.865601183518976,36.71221513010733,34.127035423537116,31.753762282578453,34.648318184987524,33.12304270741782,32.60646021258214,38.130754135633296,38.88690917646102,42.94120129796452,43.15680688518844,48.959882147391724,45.6300788475975,48.4162611135933,49.662105906127685,46.07459981724715,43.82189784448907,40.243474492979175,40.80768230041462,36.44994945143455,38.967078096547304,37.066118290210305,39.36589733830923,40.915524316044454,43.384772025137345,44.51222886522903,40.86189809951714,38.81561839529133,36.2427651982275,37.65584594011555,36.308657963785265,34.382204413835694,39.05300052690794,37.342231771418305,41.57811704504274,44.1767889518897,47.62823087499958,49.61834984352158,52.94972102665769,54.61276410009257,53.119560881195405,51.444953652802454,47.38795370181134,47.38589269260509,45.64198758420447,44.10480659970362,45.51457183508956,47.641880566764435,51.25118340300785,48.53111638980186,46.580458739290165,48.524210196608045,44.86509603971521,43.11642581638213,40.54319862097329,40.136897834990705,35.7806972558252,36.18271740513266,31.601975414809946,33.64437256916553,27.995999867324404,29.395436584027994,33.478857456908734,34.41984532723437,37.488633222865964,39.00135712837487,42.18980000470019,44.966817771169545,46.11727639321612,47.85634202574798,50.98496967523345,53.7083739166952,53.3720132832683,55.71024148557038,58.22715748433455,56.11629759558387,52.45980376821251,52.08073724208595,49.447278651074164,51.11966895783878,50.6861551350903,49.502059175244256,48.44586511554622,45.24692745167206,49.465624914163605,51.65015312900299,52.993344393228206,54.43005246749537,50.24997309020273,55.94730207516044,59.21319608914056,56.98694136581624,58.86870030059144,56.84105825390804,62.08316035908661,60.46609529444678,62.99334492791867,64.05420412631898,61.20579869565465,61.029995956736386,58.822913835612844,58.85273996469141,59.12586307695967,54.46021253947887,54.57444802083519,51.84276766175236,48.83798022167076,50.26271428292751,46.68701690257484,44.475240932308964,46.53700378809016,46.44662724802854,41.75525652566901,42.23869708314568,44.330716793065655,42.08130612921207,38.06266780741013,39.948555337617734,40.246652844123645,35.81590778344318,35.595922998705674,39.04725111205191,41.593321981218246,43.18574278466691,48.20582198042284,47.486430269500985,48.37187186376928,53.52144362133503,53.496642795603094,58.13483565358607,58.23230618677533,57.10157337671655,58.88379377008072,56.37165530685251,61.383508356236355,61.15965409544548,56.29459168273968,58.78722391297895,63.33389535395312,60.316204881214254,58.25870548773321,61.76311295263589,63.14080077579345,59.044958771828895,58.05853176808127,54.03512688489029,54.27090226646196,56.08387023556502,53.40220964392881,53.404127547745745,53.48254379714505,50.4808338536985,49.33615171810729,48.8425198208707,46.65906165256915,43.897914354022134,44.0644518049789,42.52368797749436,39.35326451988215,39.317396952557736,42.70992782995906,40.05022102315714,36.11523684478391,40.17295696703452,43.196210808623064,44.9571986754318,47.92359908091427,48.27534054562265,52.64779650571022,51.038888452211985,47.56292904965279,51.928617829476025,53.8169419053984,51.18764352728785,51.66750840949003,57.22239728623845,56.43924393854753,52.61926306278797,55.717508203191784,59.85483708071903,58.42337624839143,55.38769745351403,51.06974700933841,55.2296157849703,51.565578095176335,49.79673736483233,45.5646601198175,44.295062619881215,39.60081755570127,41.74401885901385,44.314119091565864,48.17127257311832,48.64856301718862,48.17766021970084,44.28682987373082,46.28175193037178,42.16737333929332,39.30152616470574,40.041886942519845,39.86742037629756,37.25298737026598,36.04297770828168,35.61833573325887,33.393794034534714,31.308866538847543,30.922756199697737,31.545663876354713,28.998611347240264,29.110958381292484,29.985456270704688,30.509441439913957],[27.890904787065722,29.959504176512382,32.81100237635032,32.015517915442864,35.184088383568515,28.596340542156526,29.222627297688014,27.890870517298005,24.796011605178553,27.59883129716909,25.81549080674332,25.21548324205008,30.443243831283112,29.07474777609564,29.943734631833554,32.34230474527328,35.00881583290737,38.075235510635984,42.117248002721276,44.63146958425478,48.18071272994499,52.18467057046841,53.476962965000254,54.40850631501225,51.57255791135843,47.385943907769374,45.84413339393433,41.60485373637659,39.52835162264267,37.074408021561126,35.88036395227327,35.26279776237947,35.29552378601902,39.58716204731362,40.36058563977043,41.22721357766321,40.751612134396844,44.72112090121678,46.5949664653556,52.329998676071554,50.935329934895954,49.97937872908454,54.14811162564296,55.50324552002174,57.16741073761212,57.50478067536057,61.56841714006599,60.13269531646127,56.85494443117854,62.215492849105864,63.81683894441679,64.08223539860025,63.759792677443066,57.66214432621942,59.33570775916826,61.94763007655628,59.96102299416366,55.715965385361805,58.17121150882037,61.741115562647835,57.06244166749765,55.41653305845173,51.919884439234174,54.82488152174667,54.4537997499063,50.38848696985626,47.26118522736741,43.02837283864842,41.267346135885546,36.89930578930523,37.27503339392504,37.76877343064072,38.26903703707781,43.11573892378721,41.16444321303769,45.703212315278556,47.055733814376275,47.40492484275243,48.4574852280686,51.610165377570226,49.7925798185383,52.78475062026064,50.39744767246805,51.49255145386672,50.080118457448165,46.52674663265869,47.781826571802874,45.56646956301953,45.417093959072126,44.36230400655951,42.01936376034321,42.4966015699575,38.40272054644571,35.42742339810973,32.469197270592275,29.92166229792518,27.82205506251046,29.96510229250207,28.368014157890624,27.294252365635757,33.128269762333375,33.83987528056968,38.12159030551022,38.48431263001653,44.49406523956675,41.482519491192726,44.219653045023854,45.86672953945286,42.56283897195608,39.9281047341559,36.76107836085063,37.32556263884489,33.15525078458548,36.00444925831894,34.13589324499579,36.88355912950679,38.28382008243444,41.21902019280856,42.23666868898983,38.171126329417305,36.555109442891236,33.8834358415876,35.79515661538641,34.19803640250847,32.07429500027603,36.63708812632737,34.599169953353815,38.65636351933407,41.07685427032995,44.10119582576468,46.59272860126556,49.58884597874788,51.38144345228042,49.428332364097244,48.31478040570853,44.37520494918271,44.95132393350794,43.32435599803225,42.07916159297486,43.09747227011511,45.72890794144546,49.094231385205894,46.04548835670881,43.9246787130064,45.49187256819798,41.52836786808158,39.99410868640631,37.02337656985341,36.40780603886054,32.043859432164105,32.092490409800156,27.26650140851302,28.740046403827098,22.884250244786998,24.173059301256586,28.423662839877338,29.80553392923259,32.91863565739173,34.632503676055514,38.061591434461214,41.356876813142655,42.37357495290393,44.73711962721321,47.47121246675368,50.543659922692335,50.77621674855105,52.95548416426061,55.82664891067198,53.807859760600714,50.21806725558862,49.49049905943325,46.72211295732989,47.85220057908688,47.026987287285436,45.52142295231263,44.092722977628476,40.88106149965778,44.71902310196289,47.29459622991051,48.56066444804951,50.47947058045718,46.27253477580417,52.07961737716184,55.478270130441786,53.46058528891483,55.25357209852302,53.29573107828692,58.637570827001625,57.54457645503233,59.90102261318819,61.0839859212032,58.03212860695112,57.99701422940983,55.8100328482197,55.77807182562162,56.178899831048554,51.67581236110939,51.61184983690679,49.14310905696762,45.7610558615094,47.29721968184211,43.422434032957455,41.45541948850502,44.03187510214904,43.71803770763075,39.0418103942219,40.27432186413799,42.28263012473735,39.59089938819881,36.10620021084869,38.434325810067996,38.634275321587154,34.07285450705445,34.510435819557316,38.242030871413256,40.71448011669961,42.091439973262105,47.30386469606459,46.039993678697435,46.81621566449143,51.7657657615132,51.694482161645205,56.11549258597451,55.749580367759414,54.39804603765616,55.81667420725728,53.03999845705395,58.068643609367385,58.26191717466831,53.452910953230244,55.58841654807285,60.39159189668408,57.70188723390618,55.450147625888995,58.78674273333083,60.65342236233616,56.76741693297086,55.39026898243495,51.41450567403736,50.96661709554455,52.68721356017668,50.01459523668624,49.5762279450927,49.550389819163584,46.30820307649166,45.60584226098743,45.22332258216367,42.62791091146527,40.02200211000298,40.72671708981363,39.036917507473056,35.835027995367156,36.34176935359354,39.784603862856144,37.07262717172845,33.48766456213804,37.91097612491608,40.8325918770391,42.65518236999146,45.22021720758918,45.26731387706753,49.71000072775767,48.615866798611854,45.203775879052195,49.242144247054384,51.54087601056698,49.18586629425381,49.42550098635032,54.946643613664534,54.70820493397067,50.953380554599164,53.688256175863536,57.98320194294186,57.01841597900868,54.05754253838763,49.92878220717139,54.44692282434696,51.10272436556374,49.276513744254466,44.9973230004022,43.14229032478706,38.45934481134626,41.135102441567,43.34376595127878,47.250000428644896,47.27865050510579,46.353486989762615,42.190168409345226,43.6505696157366,39.583423114837515,36.73572264496553,36.687603893538004,36.45570031284242,33.39852017797664,32.841065586875075,32.80719137894376,30.083991136840037,27.93911401970305,28.571486199957256,29.1132440988363,26.165166975174866,26.068499482170388,26.82144091780656,27.36426945122628],[27.214450628868484,28.853793314183434,31.364529928159314,29.89681955267892,32.84382268580226,26.35337763569207,26.490283969000313,25.326594743414525,21.716877840707138,24.01886299174952,22.064547423177352,21.884531994620467,26.857996618527878,25.098410631847255,25.99539993180134,28.59352913804992,31.08860740652999,34.03239364169542,37.89038973320074,40.584623609084005,44.022575767668656,48.11873472806898,49.27018728187168,50.18131747911536,47.43043548520764,43.19681092104538,41.83105674366899,37.63571732301175,35.67078575197385,33.473852488892,32.09437821950969,31.91908028146359,32.09441591933189,36.24393717754678,36.95145549852724,37.54634063056325,37.375747014983176,41.03627868296286,42.894210515970954,48.78292760312377,47.15085555198949,46.03983307422542,50.240696844196805,51.58218336977811,53.13474434807151,53.55667806983177,57.58364819130542,56.20445130991769,53.07980262690899,58.46870588135858,60.08462851776474,60.46686532423157,60.08123418547877,54.018458272876444,55.87912140522088,58.37268157431405,56.191554255015824,52.04592203830368,54.611360585780275,57.98964822337649,53.18627117817521,51.60097417644802,48.15243606771288,50.84884071888626,50.43898186091428,46.45459811237385,43.10200743987587,38.949049154828145,36.97789183272676,32.65054126502448,32.89266674099205,33.33740186791705,33.99700519181076,38.86526299604183,37.126921501542654,41.82568253310676,43.22267739239399,43.81327559367247,44.888970795127754,48.044517690573905,46.42926083467367,49.42346665622465,47.314809965989255,48.3799470175418,46.74920122152669,43.18672077595994,44.19805653611014,42.24366706562601,41.7353781849874,40.93574921763183,38.342537801083125,38.82237093107726,34.72988833148805,31.918367444339598,28.803195109608087,26.236378920370296,23.956154338124563,26.664272558637336,25.26395392442447,24.95559671193404,30.35810732765167,31.580148442032147,35.42277187319675,36.143816774154786,42.07561889687838,39.14420392745831,42.22743826354382,43.791435833931935,40.57622906024601,37.92197256956315,34.592240165135884,34.64031002536157,30.27232082108789,32.76747028894415,30.509285867520298,33.12128339480506,34.31797742942561,37.17508054652548,37.97285305883313,33.98654840025665,32.3213184230247,29.778680587318902,31.81794644721831,30.4658760837287,28.65826278362167,33.43927539433526,32.0112397802959,35.940120795725406,38.61316299975355,41.60735550225929,44.19183601069134,47.34638268037652,48.80874735685803,46.89026093248977,45.51132699937077,41.42228944016654,42.15022451364548,40.1324536855041,38.633005925782264,39.52899575024589,41.88586180739474,45.15143353030309,42.065888768289106,40.10877274613727,41.72450314895868,37.82155592709019,36.342270783792635,33.59121201288217,33.313417571310666,29.0480074161908,29.65483669413648,24.886048271996707,26.989301663833682,21.520028331567804,22.18456926364151,26.198002152924055,27.057973290394916,30.44378348348644,31.664046500419236,35.33367366189371,38.238582919725054,38.98490086882937,41.21084358534403,43.99838492930088,47.13998019411465,47.26771331113135,49.70330680535703,52.503780961142404,50.684649319039465,46.97087114230393,46.37294471744388,43.43688031152726,44.64720876102903,43.9028340356326,42.41875586043223,41.242656279260785,37.81571134196255,41.9389109080778,44.25731494898867,45.740921463219436,47.441348683644215,43.53295466544463,49.33286362174428,52.64862340528901,50.44750339270101,51.98149747514231,49.81125283893179,55.1575043953962,53.903107903980164,56.456762922178655,57.760580695639305,54.833212414953394,54.99339520273514,52.97005924358101,53.152503087579035,53.779261648763736,49.31487837438343,49.56260551327575,47.29462263358152,43.98705601829093,45.95285603871064,42.18966217977197,39.90856122129553,42.671458829337034,42.78361220317694,38.00429484458663,38.90287437587429,41.378798478968,39.136525493043465,35.271625030705614,37.69151070976154,38.35089757583359,33.77624159512427,33.859161869872736,37.920773300424806,40.09073156908645,42.03139739359449,46.62894976192436,45.42113027810581,46.58576375975022,51.50033400455225,51.86418449215894,55.97851258195072,55.69660333978797,54.054887871164276,55.429666610090884,52.41792916546005,57.36990357113187,57.62508140090821,52.50574430695417,54.531625427669155,59.33236320231457,56.530482246773765,54.06802317554787,57.25844952425897,59.16383745522552,55.25407535490419,53.49535813972727,49.824139338275714,49.34794425076842,51.33464247236783,49.023592344364666,48.67488947731636,49.08995050206256,45.57223697926723,44.64893091996639,44.82949159442186,42.326862931168016,39.297899917705564,40.169517407239255,38.97834215697133,35.77542796606626,36.03865021907746,39.90952500031081,37.530248391908636,33.74324022318633,38.12832116165115,41.31307129186611,42.78278076423306,45.30265030944547,44.99594050234942,49.48981828175551,48.56272928806709,44.72102311117051,48.62393080368384,51.056903882793044,48.621409655854,48.43910643475845,54.13564727224962,53.96493655817889,49.89285339862935,52.41775008075745,56.953443375953675,55.99483795593553,52.82921254655356,48.59190978462378,53.172457186451304,49.7225594504248,48.30157882080039,43.72514602451628,41.94554557786081,37.14562109628833,39.55796444973014,41.64339317550481,45.52498663766562,45.406190621283244,44.75199117696876,40.268598069486316,41.70321238775583,37.337497714180344,34.9764004987893,35.14648850445361,35.38468896035803,32.18194541153995,31.21679858169937,31.748795522402926,29.364258352607198,26.41821558671646,27.24817028419995,28.535053646325604,25.981164961297388,25.987229495008282,26.889445048194666,27.46050857494385],[26.181323561062445,27.56396726097546,29.51996356940875,28.639596131414944,30.84166490529503,24.143115894780717,24.116476312937255,22.201665257204148,19.099100293252157,21.78716686326161,19.756209217155074,18.684105524189455,24.1225055216814,23.243909943165495,23.756244222235868,25.922377678296602,28.87161623186719,31.961900684769162,36.31747017005702,38.49756677168476,42.197083938561185,46.03879833627161,47.57085489279517,48.60647268233409,45.66445150844715,41.59316778752473,39.82882979305352,35.58245771799858,33.23920013746179,30.550076697830526,29.50411078582015,28.562094901053367,28.64840859473244,33.05564022754431,33.70856792879838,34.70162728075681,34.05947181887629,38.2367637663442,40.21198573392944,45.809117246370015,44.70196027020632,43.74850630432851,47.840521775203584,49.30997025189809,51.19775826940065,51.62084593384952,55.666252622565246,53.99588847923749,50.70438714903058,56.1291529345508,57.533199352462866,57.68584717584976,57.310325434083744,51.22453077326329,52.740312592233565,55.34161264138898,53.49668949549758,49.17391048676743,51.53654354918548,55.22962143819177,50.67024799161748,49.029422699054045,45.548944558104,48.678571867012884,48.25325016599943,44.08466617581984,41.30894962832641,36.96093640705823,35.604938571310726,31.199433556724397,31.921232808221188,32.78845612602461,32.835246224644855,37.55954766170414,35.19544821709319,39.746993834407284,40.78475091382614,41.06787831184538,41.943329203421094,45.017576104404355,43.07927958372274,46.07261429689819,43.62988867035,44.80158357722393,43.51126858609294,39.8753994927551,41.18755529417104,38.839956188481864,38.89367446517204,37.821852911236896,35.67012406236098,36.43522293863668,32.3000893715991,29.147477644628378,26.08968502568522,23.78006562961572,21.614707980353796,23.31375379525043,21.603390414495156,20.53595325700773,26.3222441741977,27.202763445786065,31.38356821646921,31.99980517879004,38.07993191539562,35.33557331023995,38.26559922257747,40.134297380804604,37.129196460977475,34.20495838611363,31.267515191250013,31.484410239689026,27.396097085423744,30.295170134351036,28.321768019490648,31.35236507094176,32.576221542390435,35.82985166506557,36.781074555040675,32.45258048094937,31.175740717875183,28.45516888400387,30.75832308549641,29.03925819419656,26.91013988411961,31.397165767651625,29.468219402203303,33.236616487467906,35.649678217553586,38.29667653616997,41.22070766786782,44.04720405747173,45.710134777066806,43.448148425698236,42.59670914694568,38.6886759828471,39.81432177886855,38.08173488468392,36.97408290082187,37.60399670247879,40.527241147101556,43.639859716503864,40.36269728090364,38.15956453066379,39.45088806318132,35.32129847439573,33.95829563470417,30.79144948711854,30.16356979558386,25.8803170716304,25.976337421892392,21.03809170086965,22.527238351349265,16.868460263111935,17.61074310987438,21.801866356371516,23.162489483742437,26.432282017527193,28.02555555971607,31.709878117897762,35.154752083622476,35.971397610595744,38.702584111748656,41.16746762110021,44.48551907277511,45.101312590960795,47.255694290201376,50.35053584556015,48.51845269387516,44.94336427615585,44.00891299645105,41.071684512385524,41.81997929357096,40.75933630732613,39.05899659657473,37.51927461874863,34.22550577904634,37.97983962937577,40.64070372225644,41.94976472016981,44.0490451245145,39.98482183729099,45.84485631192805,49.27734842498859,47.31256128628468,48.924045911042455,46.94555915107878,52.335256632495515,51.542773866812524,53.838427313893106,55.153810147755756,52.02392369816597,52.19146345729771,50.12043215434412,50.17120566875878,50.81279016482709,46.487292479361045,46.50092054207778,44.4037508724963,40.804222340778736,42.75421163518147,38.76707197490152,36.75832564114644,39.875789286838625,39.73747804898408,35.04090823931488,36.606720986777034,38.90044249525826,36.274396957271044,32.9588774063669,35.69429480328797,36.208563765083966,31.618590905402986,32.294196555566934,36.46384610928461,38.57159872655362,40.234857940785155,44.997202927129145,43.34717729286132,44.36498973868715,49.069928375624414,49.359663967375646,53.28969031353914,52.641925106254774,50.86479418225261,51.959724715821785,48.79040927765139,53.7381302671683,54.29627133954289,49.294126423208695,51.0511096801263,56.02063297761556,53.50568236234874,50.94573977297954,54.0197431375007,56.28424684400955,52.566047596636885,50.59982296692512,46.91809916436377,45.91887711734463,47.771315994997295,45.42067917532989,44.73413262231852,45.02637167260691,41.37817718053997,40.80799270705378,41.01323576776044,38.22017019959747,35.36064516179225,36.624954080756126,35.30238605832444,32.11549608110286,32.817236693699336,36.65614527457542,34.267389651641416,30.829455262202316,35.42799013564557,38.47607513462779,39.983863941737546,42.15969087514952,41.63916152542439,46.14409323868452,45.61337549007912,41.89767913465026,45.517514265870936,48.23812422959973,46.052525463020814,45.73631560847355,51.33459307821587,51.5885905623304,47.65525206947354,49.901309776499936,54.488054349188495,53.91077822725327,50.871233381908354,46.85399538762124,51.67517849048758,48.55131762228644,47.016345025858364,42.519834079064104,40.25512805301837,35.5695210148598,38.45279034363848,40.22132102180151,44.095933144980904,43.63556494307776,42.54342483799618,37.961608036497,38.94180540724062,34.74524602639114,32.309599110257416,31.775154894075254,31.889328630260003,28.388781443700687,28.041781298156955,28.807757015644743,26.011898713717496,23.17201368501973,24.853906871287382,25.946105421254597,23.097362374812246,22.92353435075638,23.693134463817096,24.276607057025764],[27.203107479526267,28.058287739593602,29.473656961430162,27.950806998639816,29.63290100974301,23.136007570712355,22.34929384395156,20.399121774432135,16.743857931544916,18.64866712098507,16.16574624691665,15.334921368966217,20.60353248550765,19.45159819142245,19.623154180417508,21.96680126477354,24.954682649123395,27.79424440851943,32.06648733700524,34.35027474429494,37.94597051597874,41.84746218719379,43.30079447154,44.41647948544379,41.57942258350893,37.48807183202859,35.895474279669564,31.707484078751865,29.313330841775485,26.806272539573122,25.340752333161035,24.880690415298695,24.952931018591354,29.18985819238662,29.898074207430913,30.72612835445879,30.45017098279306,34.430137528299724,36.50368184801491,42.213717775848714,40.994545953101756,39.772546001941656,43.849615310679276,45.416314307829666,47.28188299951628,47.8916525866963,51.87111929282073,50.13941783465723,47.07235339686423,52.574108396141206,53.87625426423792,54.11365523100113,53.59564722036588,47.56975999495731,49.20655813631612,51.60519791622935,49.60085581152326,45.34091505903889,47.71871412725917,51.261631301706416,46.564070762117424,44.87484069998721,41.38812694972383,44.366175441633054,43.98622492705369,39.89107586238463,36.939255238474196,32.6285526209209,31.192968795434293,26.76511692810789,27.492674583162433,28.30930130583637,28.323755161502707,33.06372140806524,30.79632891563605,35.40782820946789,36.550205823127456,36.97241559140659,37.942232895741085,41.09268902520626,39.39517450645309,42.47441044519643,40.34662567655314,41.597511632787764,40.1649547208907,36.4237943033827,37.40709736670384,35.21884664414325,34.88838612200653,33.91062986218001,31.52324395397823,32.2211751830132,28.08411499393116,25.06748499685974,21.942738668122768,19.5369306039921,17.323620873920927,19.549489758262162,18.191539758575104,18.055279643390424,23.30801572227551,24.976671429394123,28.596909589504726,29.81824780556337,35.840798094015,33.361017663091786,36.68842628328507,38.57900032169702,35.810097612951346,32.76980381552214,29.81669815250238,29.350119035804084,25.12322261688558,27.6081512205196,25.091508606494475,28.06906113522662,28.9040737209945,32.195371681595155,32.72953454413284,28.378390083528647,27.223668397966055,24.707986999854757,27.388647387290742,25.972537501850336,24.271259056954275,28.94874334870499,27.758136870587496,31.23823833723149,33.88574249023694,36.32364053268325,39.49840438082477,42.39183537954929,43.67470794683973,41.320283600015756,40.32222313520247,36.28820188363109,37.779676106970925,35.59151582049256,34.24265118094789,34.572321616309736,37.246874173978554,40.12001622998997,36.68516571698992,34.67847387056492,35.88882769442492,31.734068208083723,30.559459312582053,27.57063682700037,27.360529857379756,23.268710108632895,24.014438273462392,19.14618606578298,21.213658524969887,16.20685970541607,15.86432879788869,19.697010955677428,20.48768453627441,24.169295370143274,25.103469355343382,29.242347447479833,32.33116051536506,32.68537900941002,35.46871584132808,37.84170094181409,41.38566987763464,42.04676521139018,44.487578990534296,47.58024400719787,46.04169886903708,42.34867702283123,41.48681586776186,38.3039570830684,38.9694189525308,37.87591540857813,36.076943048698155,34.733820491185554,31.125306104870468,35.08835708182954,37.57037045146424,39.1531284426624,41.15397537433536,37.50626677670895,43.369143049698124,46.72659160439303,44.602450403880475,45.823981598985846,43.575843803603476,49.00000079184064,48.17269271476737,50.678485056630514,52.19225412765425,49.17134453518044,49.63520037376963,47.7893129951495,48.08932473710544,49.03901790687642,44.837418187617104,45.1727281730697,43.39720683138222,39.8237789564683,42.26897872065012,38.381030912788205,36.11239318644176,39.523396471772394,39.798930820378,35.07469033566625,36.41578454876943,39.15489516956906,36.950825379877244,33.41860166503345,36.27420896949633,37.22263379541099,32.69731372628746,33.11018259107785,37.56000601486585,39.3234728233244,41.47765086639551,45.601432424273895,43.94043187630837,45.31237355025412,49.89300024555479,50.59310643218272,54.15034887897908,53.50359838729443,51.40897512000607,52.36908107908293,48.924971318845905,53.75209588020314,54.467788766588114,49.19821726550737,50.736224938932416,55.725723137570455,53.18534520650622,50.373853468036074,53.22111109889235,55.628086858935156,51.95984994597378,49.492820188897085,46.19850154418499,45.000021015874005,47.11049596746094,45.18386654243001,44.48228314629432,45.21408648974472,41.24490698800886,40.57156454012925,41.4091999004223,38.64287847328856,35.42351521267159,36.99231815303533,36.175531404506266,33.04940909043539,33.615581920583445,37.81484555668664,35.785632629657115,32.305216222198595,36.83016195036362,40.052408780242,41.21130375451647,43.23225971229838,42.30083807583699,46.81377712851343,46.562357722618984,42.47912575297331,45.84336027883437,48.755902436914965,46.56684270386991,45.770327175697254,51.485213676875155,51.91299993389852,47.70389226849107,49.63363641269993,54.46384378149562,53.983757575602645,50.772321573059244,46.715883446087474,51.61322807808335,48.46023153148931,47.35150194341915,42.59908858617019,40.35001809613483,35.62168257733378,38.26320508280761,39.8087892922326,43.61254183307679,42.91048448568183,42.04030198829259,37.10051856136777,37.90236479883523,33.42334721578725,31.61941119423413,31.129536297664426,31.76944131547695,28.048920254655666,27.430633997694798,28.940360049608838,26.47674162998987,22.787735938130158,24.93186219614458,26.777879293113454,24.365009333721886,24.255727776271225,25.100107839524178,25.656606551307682],[26.71891695252604,27.535180156898104,28.707497940490207,27.772211540410424,29.068359675903892,22.46277728446466,21.766270523111917,19.273066488589674,16.238868748466945,18.614044788495836,16.255761533856244,14.60228929315945,20.234172070167332,19.880303963376466,19.843465995868144,21.75147084855921,25.04502784480428,28.037672955928617,32.65610459156463,34.52139263364932,38.311557096678634,41.995980302978104,43.73112193262244,44.90222355172028,41.91558646470907,37.96785520677642,36.05332987609692,31.84106723298708,29.20197193998852,26.285736029458302,25.213112437128853,24.01139445388454,24.016790446080613,28.489661485965534,29.135109064319405,30.310129759138533,29.570969312490625,33.97976533322534,36.10206319203914,41.54883323161818,40.74146493803223,39.71585047193914,43.70344422975668,45.325219942627896,47.42132000015198,47.97445114143589,51.97170444440249,50.0648651070071,46.8271699879563,52.313349022904944,53.495816807858965,53.5506104418274,53.08200319082274,47.03675273286415,48.39256854797532,50.92277564337126,49.203390813252554,44.80899310679315,47.03488139678523,50.83634580135363,46.363127035890265,44.65466362154087,41.15910406283429,44.479855370430705,44.07513938694585,39.8440818272586,37.37089281101104,32.93967836534636,31.983587564990525,27.559233844466377,28.619804568513892,29.73816624588811,29.331139562255085,33.912245213604535,31.185167447305794,35.64048744882457,36.48305410234723,36.64005322416433,37.43083237350584,40.48928426446489,38.4887580775618,41.5412379636179,39.08272015742776,40.38634236879675,39.24319393689267,35.48570921933771,36.783246765895065,34.26384413401068,34.46381144476927,33.26052733623157,31.28450849334521,32.2125916122051,28.075086855588886,24.780694897338208,21.7497394158217,19.616604013924,17.554158385152125,18.741901929720697,17.026442041584932,15.975560823384699,21.705608209248666,22.89468444357045,26.933151934548935,27.917202465447414,34.062775267778086,31.66019884738009,34.76464869858238,36.868678366874335,34.19908544452398,30.999327519733185,28.35914361587522,28.1991169770288,24.25492320122227,27.13035606191945,25.00674834150853,28.270502087889604,29.229375430151933,32.75655687871265,33.51821076820296,28.980659592606965,28.081775725196778,25.415267665344114,28.127753868655176,26.383400531700453,24.35475099123025,28.70564306955261,26.963818620878946,30.373446435075586,32.75218038427952,34.98237817841462,38.321578537461285,40.95441358941646,42.478758292760745,39.91073314922938,39.33317511143158,35.48099042625356,37.143339746827536,35.297067548566005,34.30065807527679,34.529096253476126,37.65012774843538,40.47020244818122,36.97220788981056,34.747949550023726,35.742725021435305,31.456439440968218,30.322159009798906,26.99439311430122,26.404047880072657,22.27832700122664,22.445444487819607,17.451155514538765,18.849191192812803,13.548580015932268,13.47350133130787,17.559164823835776,18.925006110234964,22.40037557441784,23.803274342235287,27.821265459600188,31.40365768441648,31.936022064146407,35.06166656369563,37.216351391944926,40.8093611436416,41.79690691068856,43.950810359695566,47.23620813024815,45.60916868079015,42.06061346685595,40.94953847915937,37.85107268484158,38.20854363213541,36.899416906659084,34.973616532002765,33.30814084644158,29.893222764019335,33.51215683208755,36.297618548733496,37.67315034667715,39.991246439914086,36.123628742831876,42.01772321971269,45.47304819025637,43.566056320010354,44.94977849029453,42.92004132717248,48.35173420168693,47.85827069370793,50.11934570648658,51.57975905429002,48.394141271164884,48.77565485247851,46.83785914127125,46.97573619417239,47.8471217744452,43.720860486738104,43.80530637915844,42.067574036023636,38.29708093031458,40.59089672709929,36.535764058498984,34.53915110810944,38.10270093938607,38.09526327363818,33.46498324419556,35.314267432154494,37.7924087065585,35.23335027415903,32.16069534216202,35.16961995521646,35.899687717304495,31.39147199457776,32.257875708919826,36.65730044658418,38.45935812384931,40.28573612162344,44.66273485724481,42.72641718480149,43.898970976411796,48.35202811216857,48.88960915326327,52.41518033404221,51.52719744009817,49.43254409641457,50.23570596415625,46.76589651489693,51.609469184325846,52.48742794435204,47.38362072447496,48.79167655916036,53.87906609237806,51.54614621704947,48.74418112972987,51.56786586093369,54.17273850392545,50.63020207330033,48.16666937073507,44.77055215793381,43.265977747047486,45.2090317087271,43.14824060021564,42.21537855979312,42.745635067639896,38.77506083587071,38.382478691188254,39.07485078656036,36.10485046478753,33.10852838693882,34.876951076662785,33.84763436740222,30.739617374549006,31.644938163104104,35.70100839667281,33.592981117261104,30.395965965457403,35.039441547271366,38.10104946367522,39.36641246161356,41.18340552812,40.215494954825935,44.71440776158455,44.65947472360745,40.7773864719755,44.00095724632592,47.04501172778608,45.03332645059658,44.279292336899715,49.874009351102366,50.5352050535299,46.51103869529022,48.334298165838014,53.1136475386418,52.859973375532554,49.790550093566445,45.90758794016353,50.9170208576344,47.99614754086401,46.701694994676096,42.09914293736194,39.54673073761517,34.942405081387015,37.93473063217327,39.32551815573922,43.11993943273134,42.265321435421086,41.045652285683424,36.16681456395928,36.69698012571996,32.440796380727726,30.431704181268792,29.42587839278039,29.840890998508254,25.976889685037506,25.892139160658118,27.37465067035746,24.56222706072348,21.195548139323783,23.82147474360936,25.317863943391544,22.638560240636192,22.38957002374633,23.09847453942169,23.652920670987683],[30.22603783041486,31.00961737405112,31.947149429838817,31.260172872115966,32.11797958127124,25.593220790871182,24.646581050431042,21.671484662634793,18.962788155008496,21.005523253409454,18.294399504771647,16.016832361849087,21.727726313097033,21.839800160556074,20.877278488852166,22.50915184751818,26.335271436050633,28.88879085106294,33.67904135191785,35.262736065503944,39.00346320813121,42.51731796825295,44.423924853009225,45.8755591353492,42.9849266161076,39.18316741955583,37.271190812250815,33.18108640991053,30.12684391365382,26.948653231346363,25.246397659810494,23.925637212077184,23.202660981634835,27.550848439826183,28.706704717293025,30.400589407504775,29.695541570006572,34.54214456864206,36.96927292347481,42.139120748076486,41.809597773878814,40.51824849277399,44.29198919675166,46.23304941573214,48.58157855248352,49.388720435585824,53.2790877834358,51.05275802968552,48.002395294859404,53.56942342581098,54.406044530036425,54.32335355998087,53.63459981507556,47.71496206184596,48.767080582004525,51.05409525508809,49.539010101636016,45.041175844151404,46.88035581875692,50.84678854916486,46.42898755713597,44.34466314848506,40.686038537009274,44.21089244056983,44.12826032899874,39.92751013747123,37.69434586869092,33.225544361856,32.699482835544195,28.205860825647875,29.59797421508753,30.531546420971253,29.640444921523926,34.115720051831126,31.09229410812527,34.98967757227903,36.084024305111306,35.739453684414904,36.79736188040368,40.074835345309474,38.13624743616075,41.43341903854544,38.962795510991235,40.62807640686338,39.859792931806325,35.86191360693409,36.99859613244803,34.028679161593274,34.343170941896055,32.426847904288984,30.68373776755156,31.250862762710838,27.219606735930373,23.846746460083775,21.4759744994752,19.09722018047788,17.90506304442994,18.37268898254837,17.100560750005894,15.551256240554899,21.42968670981635,22.994647214866312,27.039255392999145,28.495726946136358,34.751465603677204,32.84838171225697,35.887384387850034,38.35810681750722,36.03592903331355,32.56094407981513,30.39502778171793,30.127575878484258,26.47657079626018,29.36854960107786,27.119703617169378,30.53364475853971,31.11681043002423,34.844669303647755,35.14874983351675,30.46220225927841,29.980128463916525,27.544725133444384,30.668569874679704,29.031180765367374,27.15164601026984,31.330589468571016,29.60009955121676,32.71021825694396,34.92215413131368,36.70188955260255,40.412851751087835,42.732009765251334,44.27563334263761,41.34059763939674,41.21960601138921,37.51288359287938,39.61977813853541,37.780378464386246,36.89423742847654,36.77103593591837,39.97816663441466,42.47017701102828,38.74112086419437,36.59303624539593,37.2330150623234,32.78109231895214,31.99209530441794,28.525816546375296,27.95049207731199,24.079060526914528,24.044658581157687,19.070574751666427,19.64692134410005,14.477662074535392,13.859566785944596,17.91005621598612,19.73591767031844,23.291050142511732,24.627825939041834,29.009007070609904,32.89256045512918,33.04643846178315,36.69633128647289,38.40680646406365,42.35264681579215,43.76008383690393,45.88373740498662,49.349673576060255,47.89868818547018,44.41530698874428,43.12903661146407,39.92111135455605,39.82668003064152,38.1809133854957,35.92188789416574,33.9481563702859,30.42530823140579,33.54361809763929,36.72530490987468,38.12459052007483,40.91690654852199,37.253475803912515,43.15105428462206,46.65718120921653,44.916190046019636,46.0317962186825,43.947852619525435,49.41333163855787,49.33386330895285,51.54658853970343,53.170732408348684,49.9139143663272,50.501734267497504,48.66911084224822,48.81309288026564,49.817390398656414,45.89091257148575,45.87273337572129,44.36511860651425,40.39985662473727,42.71185452629953,38.51165023475515,36.77668820610511,40.594815946113485,40.3888444503781,35.90035634802448,38.1923565228421,40.50469619818083,37.65617945615222,35.04661171082193,38.18083023919859,38.74426897044852,34.28377891445129,35.498455211625604,39.84074504058339,41.65435207196328,43.22304916473858,47.76387128600185,45.60171421574018,46.61269513405874,50.9081093755786,51.289450116437365,54.74044049381889,53.560425247585954,51.42457517112382,51.97158770231793,48.400102802961435,53.20067590208165,54.365976748573296,49.42814575804815,50.567335613858184,55.77519127657711,53.71337690959505,50.83774062859118,53.50760598735581,56.415481479615394,53.053665947752435,50.379401225710815,47.068327854338804,45.08663771680775,46.91057873110567,44.859014051461784,43.55303503860085,43.903952726629,39.82112646532525,39.890726955180554,40.56539262683668,37.26788726742521,34.58342469928011,36.73708556451505,35.49442898939527,32.45444529765677,33.80997052138183,37.671213313778594,35.47031544364082,32.668594254635096,37.41756439660988,40.261880652905916,41.65450980472903,43.19755424776715,42.13553405475645,46.587496298009135,46.831543124354134,43.16532771467149,46.14979670039199,49.37698199107114,47.57230304450988,46.7677612989862,52.22963013294405,53.17957417078503,49.29614121294916,50.91942781346839,55.69482805567097,55.68865138299524,52.71933117915501,48.988941660034946,54.079918280893125,51.332116376422995,49.97999519791191,45.46329461355328,42.70788245329082,38.21351790042479,41.38027276335303,42.61532540290347,46.36685894360846,45.3305014086085,43.893264348351266,38.97897890775896,39.159075792690416,35.03619308167534,33.11963629953786,31.56280992580143,31.879928302630994,27.788534059439673,28.2982703433254,29.953028819128807,26.84717958691664,23.707145311931715,26.87028077440706,28.122892454814682,25.227749637411236,24.79965673552495,25.30333979943893,25.74420383980434],[31.074558351308628,32.0476443290197,33.43364497365436,32.14575142702054,33.61602723587215,27.094515597061683,26.183197747029972,23.834202896772776,20.39741016036914,22.05742809585107,19.20625883980742,17.8639560746539,23.269661346450732,22.40606363214115,21.694392619921853,23.893388906405086,27.378438366255224,29.7397392700589,34.09982174571625,36.237847791879965,39.72636832120846,43.53098199006447,45.075708075088755,46.47507502860361,43.785372131493205,39.78451648330865,38.29024407399074,34.21366281748808,31.44973066451128,28.757562463362483,26.50166011716131,26.12488759948372,25.43296645200548,29.481538129634526,30.786506046211375,32.08045474875917,31.958877916984015,36.311151447540865,38.69331121358053,44.20655192131206,43.367066199344706,41.81618088050259,45.70627618882143,47.59396462765239,49.65530965657682,50.538960299763936,54.41488253342189,52.406344958998304,49.566727184592246,55.1640699759386,56.15168046825355,56.29941916202628,55.54177867733479,49.63773810212422,51.03476772387304,53.154423567236286,51.28305178294999,46.93807871725865,48.95035250956984,52.60541593288506,47.88287551150357,45.77538499885852,42.09426958349995,45.18131537272026,45.17967240593868,41.15720745397848,38.28088518691266,33.95770674767439,32.80414106482687,28.271741363368353,29.23508856887367,29.69113650951019,29.34521465985267,34.06266021961811,31.647927405605493,35.68487907615358,37.26312384096857,37.20516769541664,38.55787931982749,41.995459415657685,40.448240633731714,43.80351752542249,41.727695188192975,43.344660877368895,42.229125339877804,38.234998137889725,38.9851445658527,36.39393679963743,36.03719012041376,34.32726402352828,32.046293817439576,32.21634345426695,28.184792585420606,25.17510363005226,22.74946312760357,19.91729303942901,18.616060170427644,20.416619796736946,19.568121529074997,19.049921709923144,24.47945544740499,26.550687387842803,30.19557917582146,31.868170236938457,38.032671187828626,35.96696395887088,39.24084801554067,41.45246137091324,38.93468762033717,35.654221663277355,33.06315302609252,32.542365108586026,28.509673956268824,31.019060974146313,28.332643506526136,31.417337408951866,31.882997042213486,35.31977669742958,35.333950139925165,30.874414223690877,30.05677927681275,27.80081436881324,30.86789156909593,29.606398506111745,28.057780034527926,32.66030560632842,31.46664485918821,34.76177166653989,37.29199842277281,39.3936439323145,42.87401322480693,45.530237540118165,46.8454441440996,44.18139606930861,43.54884066540392,39.6055040550437,41.441512466523164,39.23123890387063,37.92511571932133,37.97706964175981,40.648374668325886,43.24055618609401,39.5934301539194,37.703878367382046,38.63070607026797,34.32328409353253,33.46193542563895,30.37656516815358,30.2158220403002,26.296343609921987,26.869560544403914,21.921817002862074,23.28543293000274,18.1515056206037,17.489533544320132,21.415004135462752,22.63263403310487,26.436724956548368,27.313621847917116,31.82212362236797,35.17368895952151,35.16169376001607,38.39530353448693,40.40015274779068,44.28038826841451,45.270047722549556,47.73159443255501,50.96073453869323,49.57532405409749,45.90950045752854,44.92795511773083,41.633399058866786,41.94571813515333,40.569593701469586,38.46817561674784,36.860472585847404,33.1061820560797,36.645093213847694,39.49285263979047,41.12997246315662,43.55412256862545,40.09138456134335,45.982647996759106,49.3921806627796,47.391483433484204,48.35034194457979,46.00615437362723,51.47687917323856,50.978009461516336,53.49150913541241,55.16971735188188,52.09901234141378,52.755163199672424,50.997612917649796,51.307838884882706,52.36067724480962,48.294116559146765,48.53289192927058,46.90061305233726,43.15533300680164,45.56719731647412,41.52585423847017,39.48569042821261,43.07291091637945,43.13001745159424,38.48763054226421,40.20341921466841,42.76146323602399,40.23857395369723,37.07040466355327,40.006869061280305,40.74304378778857,36.20303252513902,36.916874592080795,41.28526519958785,43.15100209771668,45.023567228330364,49.431460483615865,47.61694547075372,48.799592880581834,53.31451877147173,53.798059905662164,57.40676497061163,56.53024819575854,54.46524576072034,55.249687197451166,51.76044319935124,56.59322756699473,57.51945244893485,52.40975779870626,53.770278615522,58.872105896471155,56.543165951363314,53.69871590188078,56.462294541889705,59.09919688970606,55.547383002645844,52.96537466773797,49.683750333949014,48.12544473309515,50.11698066578464,48.128217156235536,47.112509932489814,47.61569377572497,43.58737040003322,43.32171597317449,44.034700514991044,40.965046681997116,38.056868686941634,39.89973446628328,38.789819445467145,35.67768933379308,36.64716197833881,40.63633355921884,38.41995218528234,35.2366696269693,39.90094953775272,42.92724781413101,44.28920510778353,46.14631858339176,45.230057158481564,49.7270861202263,49.64855146586342,45.79631693749979,49.04490617067482,52.07298678798739,50.031998512519564,49.286815771436736,54.903334975427384,55.512845444927045,51.44028581997622,53.28589384307397,58.08987890671716,57.765957608715894,54.64095068381542,50.67757277728398,55.6276671929541,52.570114258615575,51.3510922988966,46.67954449518254,44.2996755083305,39.62406286570249,42.41671298486328,43.912656846171096,47.713650798452484,46.925973565787174,45.88109992926919,40.933948542130224,41.50496769214789,37.12129259931766,35.306271051021604,34.3802642900155,34.86609643958304,30.952500272631216,30.848368412166575,32.38552175934243,29.592490726477827,26.183205722057817,28.68971127324208,30.220776184239053,27.495878581209375,27.220354106808323,27.872604925082683,28.325196278934264],[31.291916289971738,32.78552815738638,34.78628819732219,33.838399907554404,35.96337752938597,29.289402378051044,29.013387041461,26.89606524123404,23.66038438863283,25.85127490215035,23.333305585287317,22.108403934118268,27.58556412054719,26.61473308289353,26.338718155943265,28.577538674107583,31.89980351120159,34.44044689739801,38.72484546431486,40.96859250409819,44.46342671936644,48.317481924040194,49.80165005044168,51.11253656577699,48.40028322930575,44.34303868801025,42.842083282183665,38.70946943713562,36.0921400189681,33.398611406044054,31.36352626456905,30.84915930971916,30.198492711675904,34.299686299654304,35.59295889918836,36.90122842675886,36.63838391449091,41.00795974695488,43.289559845931414,48.82412832570646,47.91272266108349,46.50882995012867,50.455706333010475,52.2412772390623,54.22337026577337,54.97036855637411,58.90286952964988,57.02156513340431,54.05687883306946,59.60271137148071,60.729616459297155,60.879348678713725,60.22023965172022,54.265821085383386,55.666944104582946,57.906678762379165,56.05852608876133,51.70738530835572,53.754818105866164,57.44186620521961,52.74095852210911,50.66133921924668,46.9800755947033,50.05056672101204,50.04161383238934,46.01877838094724,43.07822954406294,38.7794663137125,37.473463923865864,32.95881739376034,33.752723818822886,34.08987140434481,33.98805445346849,38.760316065590914,36.483101245860034,40.50365571594875,42.147840193985424,42.05511096637678,43.421572749520855,46.84298570910265,45.210353897079436,48.5131383679698,46.28200728497502,47.819138290717234,46.72264870516646,42.81518937960771,43.732949717319705,41.11885469991574,40.889167498590886,39.161367318041286,36.92702018289534,37.02778036393082,33.02304075537885,30.025022743576542,27.629394476612777,24.7912469370394,23.433090589569353,25.19062927851697,24.12451782813119,23.089684144590098,28.86457762820304,30.389881360268237,34.417005203651044,35.63074389573356,41.83011560283114,39.48638999120244,42.48748441139215,44.60826380456807,41.826090585171706,38.701479445875975,35.99689086786325,35.97840973565689,31.930273739765937,34.67110665194366,32.29436792502496,35.31909558459808,36.090735427802684,39.39691657732488,39.68381775360485,35.322659799287045,34.26443551663631,31.876476537332927,34.59419410436881,33.20048853479467,31.3995291534644,36.00104682635315,34.361631678727875,37.96776461846239,40.40222604209013,42.78897321846024,45.981990588793714,48.68680950318544,50.26499826635815,47.762405433199476,47.09603756604916,43.1799450052077,44.60976727069431,42.66390525145237,41.41527938299169,41.792566828824185,44.49486986789766,47.341707552184644,43.857546200402524,41.88072724979645,42.98265828868354,38.73836645831995,37.680737597572815,34.5593054871004,34.171799611297736,30.05790676852536,30.274881501391356,25.265240154607877,26.368293089612497,20.715575671838728,20.9307283283842,25.12621355017996,26.65608977020125,30.191837055335892,31.501625596075783,35.666767079472706,39.16697646942729,39.50567397159985,42.56042059458866,44.75097715233517,48.417303856909065,49.226758761299685,51.559458982884735,54.71427335898764,53.09076800229495,49.45913240675732,48.51845284458352,45.403512276568186,45.92509070386477,44.662115560875016,42.69245736167341,41.02249674332153,37.46544589105664,40.9537597039593,43.86343544739806,45.33553372209368,47.74072146948478,43.97087367820853,49.866829183092705,53.316921923232215,51.3723520088842,52.62383545436643,50.427217499146245,55.876578404133724,55.26506102737171,57.70341705332394,59.22474991619531,56.11698742183562,56.53469730841294,54.60215892042226,54.74735367267553,55.545285002532175,51.32334428641235,51.36152484313442,49.40571235814722,45.70714741989428,47.7084872197446,43.63153083233734,41.7341267763633,44.984899515923864,44.75291534631093,40.10415528642812,41.82930481056405,44.061504214733375,41.26831023835475,38.139539150178464,40.88595766119375,41.27927361245365,36.68802229174897,37.46589513975151,41.55382082258472,43.74102108833006,45.25652873202044,50.18907717681867,48.510906487992685,49.41636524574553,54.09955812464595,54.22035844754751,58.226347369560436,57.440603099948305,55.701932329269525,56.67667834452647,53.472990521682796,58.41752813692753,59.1297227018554,54.22553426762938,55.84991798755196,60.89784013401645,58.51432710938441,55.91099291159999,58.90560701781449,61.32737337270224,57.674799652570655,55.57375879670627,51.95620626686088,50.70533574122612,52.51380010159097,50.161431088563425,49.237537910225385,49.373404983637705,45.657705216629054,45.4050666650415,45.54888272408655,42.515100071028975,39.892157418393396,41.37523207818341,39.83819227928985,36.66829500269913,37.65827385124812,41.32459341573997,38.77573576489089,35.55872215074942,40.23076835582864,43.121911572721174,44.80080549293487,46.88462725605465,46.39803853666987,50.885539863407395,50.453193910292875,46.90334143872295,50.455710575636985,53.23884174545271,51.13369037431781,50.85041106278678,56.39556740034744,56.734515419802065,52.864328379747136,55.067686571873914,59.64983810803529,59.13178110880567,56.117794374410764,52.118304166826135,56.93780999980746,53.80135478576073,52.24367045982419,47.765286743536066,45.514096277743654,40.83104034257064,43.69103855772365,45.47687931452354,49.34957749483096,48.867051283090525,47.76236466793008,43.127700451015045,43.98136166193425,39.76055044640455,37.43887342712471,36.66966815657549,36.74604309087959,33.084798864501074,33.03729528147183,33.89665218825822,30.923500806174715,28.178528709248894,30.081304647642256,31.03979162307376,28.018202930284588,27.722325688035955,28.333784682739992,28.798252153910177],[30.831473826393378,32.176724260110504,34.285436836086824,32.51560926171659,34.96243345465026,28.532829591623916,28.050876365722907,26.586787089535342,22.683808735034074,24.298586713818803,21.77157452257402,21.498006277846383,26.44144173154248,24.58856355895553,24.701723051287434,27.388423787582887,30.198027788108497,32.62190854828666,36.42067616193721,39.15775702854655,42.41370659896059,46.519009177934436,47.63036826489028,48.7918701868419,46.24388271112479,42.03508314850137,40.90944599789325,36.832320504345184,34.61228760719165,32.46866924249274,30.22237422132153,30.535267158839634,30.211238942881664,34.06742919355357,35.22091663672917,35.96666064750326,36.210682230177355,39.9334992865892,42.0645300770227,47.93274281631673,46.4330920316054,44.87716738223373,48.95094416114747,50.578171704103234,52.22103168246323,52.976919764886546,56.8854130523867,55.28999325890946,52.50419602421296,58.02116603828668,59.35923609361434,59.75977331270186,59.100416683160915,53.16525984394767,54.9780859122183,57.11683743508018,54.87872955693367,50.73813413129402,53.07665953910204,56.38830045046938,51.44076268177403,49.529818520361,45.94618873945108,48.54801393796329,48.44525967979284,44.592023269855176,41.086484286427506,36.98010085231399,35.0586571671644,30.645902154154587,30.983548680183024,31.055750993460748,31.541246026897674,36.4332191164796,34.76389574304515,39.11628258721056,40.9514569733812,41.34730252643211,42.784354873027326,46.201206560419834,44.90022759821788,48.14452047223609,46.326450797424606,47.691243478545815,46.14721211298956,42.33940370806058,42.92822223579178,40.85169793605682,39.989467847438824,38.787825321807205,36.04502019783182,36.06157353198949,32.06268929724233,29.422932325132745,26.73217440456001,23.784507936345108,22.054075581693233,24.993009055456525,24.180537763029715,24.290001250172104,29.44055964151392,31.456641976462926,34.93770692044291,36.36833488069114,42.373050057846825,39.87753889455351,43.21869802512518,45.01191838390961,42.10632824434786,39.19957881546794,36.069217271884774,35.60552159781632,31.22813037844618,33.45213672498336,30.66034860585583,33.29192874905096,33.9502937818056,36.910802420001154,37.01250639104102,32.96087395829685,31.572720297003507,29.373311814108295,31.952894380778883,30.954591882189398,29.569966548895234,34.4844185221737,33.58571267140149,37.21831281879869,40.00150412544288,42.64897880429119,45.61842482614815,48.68323237728752,49.89714451286875,47.709172551575485,46.44764549446048,42.305534194872244,43.5182233718957,41.13365554995043,39.46035326126713,39.96241180022248,42.09950653462048,45.00844509217524,41.66535708406666,39.952310088474796,41.343842690673426,37.32762481009761,36.18381228551731,33.51435693866037,33.581537027349604,29.53355723703161,30.48895251564923,25.66348572414746,27.72952642295021,22.495569983482515,22.328217763248933,26.210933774574077,26.954253670325762,30.716337113798787,31.447949015785234,35.685360936231945,38.50373478697607,38.674538556829425,41.21381385885499,43.71377513595026,47.244255166881594,47.60113616233892,50.28381878004048,53.16667605844134,51.66603210504852,47.865532407434955,47.254296511555204,44.052887801849074,44.992027947300386,44.048136643182445,42.298932619608436,41.10232224800018,37.34285033730562,41.361020513713854,43.7796380948924,45.506632328582626,47.403648355952434,43.91140384829764,49.747611008144034,53.04785811622165,50.79880600428472,51.86946967692125,49.42009736900897,54.82728172110154,53.7379798091653,56.475883211157594,58.03998472581919,55.166376729273445,55.67558066291329,53.873678094893876,54.24922630652567,55.168698267426066,50.86573251698165,51.28331732661156,49.32692722648857,45.90864244830119,48.207897674200105,44.38767812698215,42.06521167986727,45.16947924278721,45.42092762942236,40.644302403987126,41.6538304451912,44.332787310243624,42.14469922668234,38.35910476575099,40.9428309750349,41.76115822154018,37.18638035773292,37.311894526787114,41.54193590365109,43.550636331370775,45.64736608051713,50.013290400159114,48.68596849675687,49.97311338225144,54.77615569457959,55.276075733619955,59.18424409308886,58.743934329123114,56.89728877564798,58.06590799570525,54.82205872186476,59.715990940997955,60.222324385908024,55.00450946577259,56.76921761983251,61.67622684060074,58.987055120992046,56.317644882620655,59.30484178948573,61.4665691458532,57.65580737476174,55.461012859167695,52.058101238139976,51.20366156004466,53.300115054411,51.229613887315544,50.65744327625884,51.21957882211056,47.42391538569758,46.698787293703084,47.22466955912626,44.51573652131462,41.43288235112708,42.705775675982444,41.645019649265144,38.46135120029506,38.920987235372166,42.92707210659978,40.640492124294916,37.00281519504769,41.4812866820328,44.669695907523995,46.05189452813805,48.36453475030608,47.78415505397408,52.29846246605839,51.67875285747551,47.7218764807995,51.3894814489916,54.04639609832769,51.69859064967513,51.21537825339575,56.951553303768925,57.023135168306645,52.83402310426742,55.090492791855475,59.796377319660095,59.00537191302,55.76538201569462,51.545794140504604,56.229397013507295,52.807728443377954,51.61500234147573,46.894231460647646,45.029130966729355,40.21115602221986,42.56572382279348,44.46682284897956,48.31062887673107,47.9628764271416,47.35080091546802,42.58519725681261,43.7491013901462,39.21897137974784,37.277133299121175,37.18277549608528,37.676485373885434,34.15974615307168,33.34989754920495,34.42031765657382,31.995896291113333,28.624493406726536,30.057095977962913,31.658907737294633,29.12957353177164,29.050603738468485,29.871078666559974,30.354522423131332],[36.08845440638441,37.74189501151572,40.21394621107563,38.41128592665935,41.192984751200584,34.80659762791285,34.43863655742419,33.0733721072112,29.127070555461664,30.543341155678828,27.898089108660425,27.70733673101498,32.53540828917273,30.451700336489207,30.25519381128404,33.03887871107625,35.88939280037323,37.89701132147255,41.40134830874045,44.336546739438496,47.31274049221063,51.481619375815676,52.394585799929054,53.681266075306304,51.39411706234318,47.17570176807102,46.38226955097724,42.435469097346704,40.20369854952211,38.21703785588205,35.29801171241455,36.06472233279479,35.280631647156575,38.79717793567483,40.401542808006816,41.248459000288435,41.845637352869176,45.52557037827848,47.79007653082233,53.66446272387623,52.13178345553897,50.25713122033511,54.23928895163386,56.015329860838136,57.579236077772705,58.52950807872065,62.33677022007019,60.733858308503216,58.22471334449047,63.77318389903478,65.01349400504843,65.48825154095883,64.64374745500648,58.830392281588175,60.66579355615199,62.53036382633771,60.19355733871576,56.116913853828656,58.28839757336224,61.47585118894252,56.37348698499686,54.171930198711564,50.48199656983464,52.850081234804165,53.073765208043554,49.436327072943875,45.63289417896103,41.70172578902683,39.60455705697201,35.24403937809221,35.41998345720183,34.8857444251728,35.53231072892678,40.414170324618006,39.10901156090569,43.01424305824122,45.43781790836557,45.6400911091503,47.50166184759834,51.165312130286466,50.17937112616392,53.61061243903635,52.00974986545799,53.56855128417756,52.0716167200417,48.14375378573904,48.41103453831626,46.27362737840607,45.082985206175834,43.49835122238169,40.60342915112242,39.99930368711943,36.205623129809574,33.85971459574198,31.702720637575144,28.399970099888666,27.251578421806673,30.3597798310496,29.972705923636173,30.08645315218797,35.20694554831918,37.51757422011358,40.93130525793875,42.61824639743254,48.66519328510298,46.295688724853484,49.62979112649768,51.47693159196351,48.57325357175739,45.65625392708252,42.54696689368925,42.07102715251094,37.67317188246096,39.77430067281469,36.78952873119497,39.261761723721314,39.69192333765062,42.490941561681716,42.14586927350109,38.27922153474343,36.89236186374072,34.98622797049598,37.616857334166916,36.90695549356418,35.74514412898004,40.741156504243435,39.99182974435017,43.64828348657844,46.465982838299425,49.12024039924894,52.0782328874296,55.1630817756383,56.350787416963165,54.151795013357294,52.86272867273546,48.68838996420141,49.85749243344069,47.35567248551116,45.51652969383811,46.01959030578334,47.82833930703564,50.64670669330034,47.29682064942038,45.808445874295295,47.20149395764767,43.22711902875147,42.211515595257,39.69017157494945,39.918560085039715,35.94162858555348,36.944493684989325,32.09538558493253,33.952681533077694,28.572446572043667,28.40298136877028,32.33383595254454,33.18447423433374,37.02597679634635,37.64215376224763,42.050578292247714,44.81307435572275,44.7575657732211,47.30733667147866,49.74954402618888,53.38680987988671,53.67423748376477,56.50882905653749,59.3071285483969,57.886606718651514,54.03560093767184,53.53252963559781,50.28489779676844,51.26108713231907,50.30664350766808,48.48320606518889,47.28072799062893,43.39080507114733,47.293149429829214,49.79486191788313,51.623954782394755,53.60595866629208,50.26660583780057,56.100697111660054,59.38603129271281,57.10481910894505,57.98972928621132,55.38323494992627,60.786786298407684,59.652665581615636,62.53345195994287,64.19121035436137,61.39499965542343,62.00082299891959,60.258569317381486,60.684060981946274,61.62079036424776,57.30228778607255,57.732297908855415,55.714299011646744,52.32592776605543,54.52137944051236,50.68671460989013,48.41596560907419,51.39787866601447,51.551841233499204,46.781669184116296,47.73158899241307,50.29627677224523,48.00487157486948,44.21933368580397,46.65612890702046,47.307761828244836,42.72970162248905,42.79611851330653,46.82156155556176,49.01228795970218,50.944168350839156,55.55566438273943,54.38851649963082,55.540922494357375,60.445564227981684,60.72859437930864,64.87787222140234,64.48798166887028,62.8213800559648,64.05899318444398,60.932194062068426,65.87000492783704,66.31791262244036,61.19597991143839,63.04290800309306,67.93967765474852,65.23109246559359,62.64338373332633,65.69064299317827,67.77849042563346,63.92272235345926,61.86268308651636,58.39363890850176,57.62253123488979,59.6650844995071,57.47881941832117,56.87534343147365,57.24535786141645,53.54203870186635,52.930167419948965,53.214995848614684,50.43761601873788,47.553650351019655,48.741994342195966,47.42993697869162,44.22904197401369,44.76715571504212,48.56140404915901,46.05819493344303,42.460958826164166,46.928499081898444,50.00069900494849,51.59507151777383,54.02284882156843,53.67433530639798,58.17430848632931,57.381170222525874,53.6051877249319,57.4145322828171,59.94525179920842,57.55679818059035,57.2964033018881,62.999290770642794,62.908984262218596,58.79548920948926,61.22663774748415,65.83568596653382,64.90044799893677,61.685061596078796,57.40745389263775,61.958057825239564,58.4101214830973,57.121898454287816,52.48012417385465,50.814368193199236,45.987379027073764,48.211879463161786,50.303834556803615,54.156120951933595,54.00042637949468,53.48074701140833,48.82922687002871,50.12310165890447,45.60170221715443,43.57373928661539,43.54670277089097,43.90181897307704,40.43669898369899,39.6990671164013,40.53350495666078,38.024787791086816,34.927278770365255,36.10936410835587,37.45340003261526,34.77522660028725,34.658501496780595,35.38305914533194,35.78423766092876],[32.33912647866613,34.22538382375351,37.14950649254169,35.29301183885582,38.715760007794756,32.4643841324459,32.61127393182606,31.822352895749525,27.910340884963013,29.705559053524933,27.60125434191447,27.874258634720384,32.523970271692626,30.160275904849854,30.893535223108454,33.78343971347375,36.115863248807536,38.610813169839666,41.976712655556476,45.08949525390706,48.163198147342335,52.440677048223165,53.23397837598144,54.186189147042285,51.751943552046335,47.432153123907845,46.553185586561234,42.505966136778696,40.705374680184335,38.8876169196934,36.76050744913717,37.357929439158596,37.2155189590226,40.979694970391414,42.06100092220384,42.523069898559484,42.89957958061687,46.25782199942193,48.17683787498742,54.22618704170241,52.29529934233568,50.8204060483358,55.001692966368964,56.40412250206928,57.72012201794918,58.31747975839957,62.24247687357076,60.999968963337395,58.208179840580904,63.60814277041254,65.24102560145637,65.80599946697872,65.26059258607974,59.31003856675551,61.37634295882328,63.57648252399045,61.1287199835596,57.13073812915131,59.673112802794115,62.777142498637055,57.717290942707805,55.94043314036203,52.429789781780364,54.70826697255868,54.552626814079666,50.83579986839298,46.94412021431191,43.03039647658326,40.60656297790777,36.362808157976716,36.24027264651567,35.999257146094116,37.09286004723352,42.02006816536555,40.88872758476036,45.34467483221211,47.36807554151335,47.99237054543015,49.49269553950396,52.88520694096698,51.69571698509385,54.8472642434936,53.10773594884031,54.28493838096757,52.50627921191953,48.86882295668092,49.43913322172167,47.64802777596716,46.56487207357314,45.625403323050584,42.66737141016237,42.54376523594314,38.617211063865476,36.19921297277655,33.44283555717339,30.466342848174392,28.578444978159887,31.94280862671887,31.0626030788798,31.198144824558817,36.37334524262587,38.10506921833514,41.67334841888453,42.74667113932636,48.646447203456574,45.77808233732475,48.98841956010419,50.46376198333196,47.20579150585086,44.64478090858084,41.17479433261053,41.017670555640954,36.512734675071925,38.64309665822482,36.01244194623257,38.27963928238527,39.19950058097517,41.72957383941515,42.022167920956655,38.35989350892267,36.53752768608677,34.37245380095698,36.38488740038603,35.51441976104122,34.13911900941548,39.111632990697665,38.177273894144236,42.11340156111497,44.95857954940598,48.06525798754025,50.523043716939576,53.8467905869821,55.127858993479336,53.347926863257676,51.68175965391717,47.47456689248063,48.04486066401731,45.72895000522935,43.87542801042542,44.840026916583334,46.60384309850314,49.816632655752905,46.807573540956156,45.18917844996497,46.94240786615929,43.184681675669175,41.79154779015401,39.38637358104717,39.46581979747229,35.31614104266661,36.280648556538196,31.575705709427925,33.82403456527907,28.384448907149768,28.823228174591982,32.7785349171497,33.44599709261511,37.0209557472353,37.88161347540925,41.76413405626038,44.324465037079314,44.777376138322495,46.783217341630454,49.65562883207864,52.82746520023645,52.67469357579773,55.40584517174478,57.987257580057424,56.29219628532345,52.46350571482522,52.129555538977726,49.12574859493785,50.56474190763383,49.95501922489291,48.49633209338916,47.51168449680333,43.86862986556317,48.10263585511991,50.30500941806438,51.99366191946044,53.5600156339668,49.9139177197562,55.68115063912388,58.915081378337,56.552713215405895,57.84043715863797,55.41458283137965,60.73777045449329,59.21305990750689,62.0369816975241,63.434895217541516,60.689933182780926,60.97031619557901,59.05813567221607,59.38390641090902,60.06638615302735,55.55696123156782,55.97699779803813,53.641385600533994,50.50831806300826,52.47576303221467,48.83006415665956,46.434729938552465,48.97959458189905,49.19664678402297,44.404466184145114,44.91427706863107,47.440448778263814,45.37239155234078,41.25647507722272,43.414343484923066,44.07313487535472,39.555309379735505,39.277043768612266,43.124945041912575,45.39352795037727,47.39975827198001,51.97338312661876,51.11531210997601,52.29483182682081,57.34628868660851,57.63797721472187,61.95736376549703,61.89392066454926,60.41107832628377,61.948944207934055,59.064172829936716,64.02471726071201,64.11373260673014,58.98466672952475,61.16059051806935,65.86415417480448,62.91317044747074,60.5273267455741,63.775605172518496,65.46682580528832,61.44628828048745,59.81852448608436,56.17553605799761,55.97727509069088,58.02280850082674,55.71313314001353,55.490294322660894,55.88225626604148,52.442168736025856,51.43720772525838,51.520799653046076,49.09797786671571,46.098380019494066,46.786349912179524,45.53797145761083,42.33374105737068,42.45541617305317,46.21274573561629,43.73315337897385,39.84429986826255,44.08788011457447,47.251416896336416,48.808626902851756,51.540997667801996,51.44876871493264,55.913764467383004,54.71439542552173,50.91360316971981,55.00187923631733,57.22253861945713,54.645291795000766,54.62480015670319,60.33952183292438,59.86228672718514,55.755905521360205,58.49137472746816,62.947319162888625,61.70506171278964,58.48215239140508,54.106429348058604,58.44673829636203,54.7456173021886,53.38763558056263,48.826673702278924,47.46234215635092,42.63794513449154,44.65109849020663,46.98741135567479,50.836064719214804,50.998151301100535,50.671579176140845,46.29217577720058,47.99877915384925,43.53859147339336,41.269605365586244,41.79794678426152,42.066022784913294,38.995264317381846,37.8027501895367,38.17789298796248,35.95857373415434,33.065912726233,33.43998975038895,34.7116936444251,32.24121168571087,32.28722539883633,33.14835244960281,33.612470379508636],[36.07426389318659,37.830341153256796,40.70794286133625,38.365470064619885,41.79688790537408,35.774253619920856,35.627096171037266,35.040254683155695,30.809397768398206,32.013928046490925,29.72975670411102,30.38050831429158,34.65237628371229,31.844328675787487,32.3638502879866,35.44520758491358,37.614186935896285,39.67507406905157,42.60680840313683,46.00740826361866,48.74938311528218,53.13106956419253,53.633781058376776,54.63499684749211,52.484488958866635,48.144803116002834,47.67739212259995,43.805495692336315,42.13085941874569,40.671457655225325,37.95560342436229,39.2366039625347,38.916514195194914,42.296326917826114,43.60587303459748,43.88734787943469,44.76099430937378,47.78360803126282,49.75316702972335,55.90118614638961,53.7356197296263,51.922971736364666,56.04689393904563,57.514951769665004,58.64963566030981,59.44194466960962,63.24234898217585,62.07318856748227,59.62086136703482,65.02606824348219,66.6161925688561,67.34010085819676,66.62807308580116,60.81714263513449,63.061930212924906,64.97013773902663,62.28772893117783,58.450581236688485,60.97387757088414,63.7979378386441,58.54587799829937,56.64805363115442,53.13520053361299,55.03088302242692,55.05926512247073,51.59561217727727,47.30228526656767,43.62942612496847,40.886478284825806,36.77844610913883,36.39198928734131,35.65046637631469,37.03880417579744,41.92646002573252,41.2921502503794,45.5568757531786,48.01250328075241,48.73309807840067,50.52768496638003,54.06260421015924,53.26745414758316,56.52023732341455,55.170949749221734,56.43505593450773,54.506186258446796,50.81604167787073,50.96027641877316,49.37770991473276,47.766626676468455,46.81539014200811,43.5515116682406,43.00890851259491,39.26342630751472,37.22405562749363,34.720475827541826,31.52990188956523,29.9147669381236,33.822751008375846,33.39641037074283,34.11562397130146,38.88308791832448,41.173820215938846,44.3297583651801,45.829888585191185,51.64898471836882,48.937220789264764,52.37775417261336,53.80718052310636,50.63411879119241,48.08183655908732,44.533546951561455,43.981431959885306,39.373810890737325,41.1035487540422,38.06420805037132,40.05714534949367,40.63016393216015,42.92290815863408,42.69961090722281,39.31006315376839,37.456305293710145,35.66392486481182,37.77277011055846,37.34739664912917,36.42885026529669,41.54132624768167,41.20781140038331,45.00632996997443,48.037718488645666,51.10740567464501,53.59317826917665,57.036802228260385,58.03345525205008,56.30182613040733,54.40351726987381,50.09133560950749,50.727648937477504,48.04228198582117,45.87876383927774,46.7448075060026,48.00362334204573,51.04167823544004,48.045128821425955,46.75076521336656,48.542645917778174,44.91630526654435,43.66801123627848,41.586435552642385,42.04813039216425,38.084532014477645,39.49041938694794,34.88254299553063,37.408211474153866,32.211632459365205,32.20645413119679,35.96937143914837,36.311661566744334,40.097995802576534,40.49330233606187,44.62879267527469,46.80991669910149,46.89171183286552,48.75141252726939,51.616216115317144,54.8762158776192,54.566352261693766,57.595153704997394,60.025008677563285,58.55573224047326,54.62163244930236,54.48536264178279,51.34764856642572,52.88381921270499,52.350976511502004,50.88237029842116,50.1120405378733,46.244435727127026,50.60314128270528,52.6302833967717,54.548919930914266,55.97127084744551,52.68757081840633,58.405514394563255,61.54048874866547,59.01601708921228,59.967031298962645,57.275259633562996,62.562443838871026,60.85487947753917,63.93336196023174,65.4760567545411,62.912008965932145,63.4039605801212,61.673226055785754,62.201643424674074,63.061659782842675,58.59467630300919,59.26532334178858,57.04745570318062,54.02473479129919,56.22381920172251,52.68168793081081,50.106219005009805,52.673616455724165,53.138916356059106,48.31579096704883,48.52656756768659,51.29293669065094,49.502290428022974,45.15114303379724,47.24558213893868,48.11391273860952,43.63362120394075,43.065564264715995,46.95740772889949,49.105415696067574,51.39350761166899,55.641116829587496,54.95515829684054,56.32084694308552,61.39143956204842,61.85648180884717,66.10049080289001,66.14790657460843,64.58370459208791,66.14290898593696,63.18351375698338,68.09843553729206,68.17733004386669,62.90354488263711,65.05530955903691,69.72140985214408,66.67407347147254,64.20399646640878,67.37262572925488,69.01560100685981,64.95940562647056,63.156906461281,59.7203067516418,59.579475995059134,61.78030059054757,59.67059491184312,59.506091877366536,60.093343086466625,56.53538839501703,55.438363227924874,55.764972226078754,53.383567443511836,50.225336133504534,50.96289896416944,49.90897741571833,46.711215749517464,46.710762728563544,50.6003230655025,48.22452329258397,44.245803829561,48.42174364475095,51.67420080750528,53.11342760051168,55.883936076788615,55.69975918854432,60.170300372880696,58.967757851898384,54.996931755144175,59.06589812219497,61.27710247707459,58.62039654140325,58.446829721615295,64.23714425503915,63.68431086404075,59.41633443546489,62.10732442833246,66.64575824302771,65.29996667906745,61.95588097614316,57.48568244632181,61.733776652227384,57.883314057505835,56.78206916500383,52.098927069655936,50.959175199093224,46.09990655988715,47.786987993153886,50.14236691288756,53.93358932676533,54.128181329571,54.08818757193046,49.596932963658126,51.36647984086606,46.73469829940166,44.79765476756093,45.53167131674449,46.04100985884043,42.93334355305348,41.51316474704099,42.12636989891205,40.10980432671224,36.88803482103003,37.237215721718236,38.826483909176936,36.55111850078151,36.64544340979829,37.53414144731143,37.95106871568878],[33.125063983582045,35.046230893530534,38.25339390255976,35.90186642108967,39.811107504192506,33.9623197288614,34.230429607938945,34.08543403075741,29.967838844698573,31.472116207954908,29.643734878031626,30.587191154609982,34.701932289928074,31.764294642361524,32.979785123835015,36.081552254622544,37.86431443833532,40.312733936435244,43.16632245381046,46.64317962213397,49.479607306778234,53.90822989827601,54.35239632987377,55.087771544660875,52.80392168592504,48.415169426929424,47.84167077671811,43.90272154100929,42.551372973382854,41.19139522689815,39.13740634338691,40.20704604867693,40.362040797054874,43.94545600610742,44.84696844667754,44.87010873953388,45.52224771848765,48.32572238773089,50.02091963005102,56.257990468125556,53.826222059201875,52.3611076658722,56.620450176638954,57.79234006740563,58.75178563372806,59.24885372361283,63.13721913229215,62.24245644539653,59.54886317683453,64.81846723913233,66.70861770501536,67.48415734996803,67.01687470577555,61.109333904845414,63.503143297060824,65.68998262935287,62.95714824739003,59.17553819516969,61.97113274491486,64.75544973091178,59.5732131063958,58.01260546920094,54.64442853686778,56.51734530993676,56.23932854541848,52.69991555774767,48.412671832823456,44.745664268339276,41.82158085534308,37.81913210697397,37.24941476688336,36.79608577540244,38.46011111806589,43.349686253534514,42.7788900833284,47.443460553723305,49.53852072625592,50.54967385136754,52.03727253147441,55.34278632145242,54.35580443104841,57.37762897883903,55.890541429796336,56.85820066167506,54.742683542789784,51.292097091719654,51.70486489866325,50.36102533984621,48.89740519043433,48.41911666669234,45.1653054753809,45.02593743722925,41.180044548959664,39.05004337141678,36.11479093019457,33.20734143724535,31.066605142709896,35.04154763751921,34.22810102550552,34.898027271426066,39.69930108528685,41.509220208487235,44.78909116470441,45.794863377429415,51.47278096335408,48.39428320171742,51.70372116595944,52.84603395787833,49.41914009885738,47.15572012199601,43.368724345377515,43.0870270265915,38.450989004964676,40.21021424746547,37.5039931452372,39.33909383974234,40.31324896108418,42.39865885861809,42.72046851766727,39.48945017662077,37.325083961860585,35.319801672207724,36.914086988642644,36.334669218793856,35.2308069071962,40.258723912759756,39.75092394053065,43.73780298096507,46.754347407374595,50.150693515080214,52.23420402751256,55.83435560902441,56.9160028991095,55.511155755023616,53.35155105546221,49.04867082583391,49.211401811347926,46.713664990644105,44.577253193586934,45.80506103616756,47.06033865085184,50.40507887837858,47.689689421084665,46.27388043144222,48.32616050156732,44.87728058816052,43.3399870223916,41.33662976193333,41.65171267977248,37.58588268749055,38.91889006414835,34.468691254580136,37.229536738761524,32.05012623126381,32.49600157548057,36.24357434807286,36.47657423990744,40.01396827137961,40.62152408782133,44.313060060505926,46.354479648773165,46.85019874317938,48.29831120046042,51.472937946384846,54.35231517858536,53.71721360409245,56.625898193968624,58.88680798777547,57.192758336230305,53.30484259420526,53.28662740782901,50.3676079374677,52.24324086818843,51.96954603432716,50.78566586968884,50.16374645053318,46.523390065545534,51.08897511982202,52.90026697318604,54.68337520176137,55.79974906060888,52.2728339209914,57.91371648206383,61.00315404250265,58.44135771607572,59.724254168971,57.20673420174279,62.41309070876184,60.42963036557878,63.426775646307064,64.75224225289199,62.22210164525084,62.4441871999961,60.575873856102405,61.010334420550905,61.65747334365589,57.06122430828452,57.70614438761781,55.24811046184552,52.43622003568606,54.434970061152654,51.05792735266818,48.41203117199293,50.62001509232627,51.1235409065023,46.320796999727754,46.192469440380144,48.902073995744004,47.295859752746075,42.726166684931236,44.58174954450055,45.448093407003476,41.056693393621075,40.21857649400257,43.93441376217566,46.12856519539575,48.458895880015874,52.65245284626134,52.21209357883674,53.5892711057588,58.74595015411531,59.21547039011952,63.570978029893396,63.86836304452292,62.45497630744406,64.23788088996287,61.48027428520747,66.39263972879802,66.19495892897709,60.94333835273494,63.34057090510302,67.8402766706122,64.62018404525584,62.32136444793064,65.6367692452099,66.96810839510864,62.80101197179671,61.352613371880935,57.787193248457115,58.087756521011336,60.27183547673634,58.07005435564904,58.19590750615967,58.78986155272996,55.455581571792536,54.069635072420496,54.23316165915185,52.13588539859306,48.9175362685937,49.26626463121147,48.267291946536574,45.09399512700426,44.775247391550636,48.60417039890107,46.26746517604581,42.101302423424684,46.06378934987962,49.36219102358872,50.760004249270644,53.74686644124105,53.7613483573875,58.17840308412952,56.66915037517631,52.70496274623075,56.96609516781834,58.92489344824538,56.13695336266916,56.15530362716727,61.92317975207506,61.07316087073735,56.835968605612834,59.754261783433805,64.14939248300828,62.57160018467297,59.241007343096825,54.71773294831973,58.78126028929982,54.83152764801681,53.671555129399856,49.08152820417187,48.185613280786505,43.36478572858968,44.8752199561651,47.41186475690897,51.17890900985161,51.62603388706415,51.727708496323366,47.486392861575084,49.564837983535774,45.02411700314728,42.902657180695556,44.05253476088079,44.482652291436935,41.70769099143108,39.96312140201139,40.207898016625286,38.43728624757195,35.42122388833637,35.138135818332266,36.64777124511141,34.57352828175949,34.79468072014402,35.77443912348041,36.24322722446979],[31.940942315855995,34.183377972198045,37.81719986986483,35.723692076804824,40.12201864532378,34.4111111739288,35.198219708490036,35.339406780873375,31.50393360384657,33.41663299898464,31.98140228258144,32.96628088848774,37.06831811464314,34.19660907510247,35.878917347585144,38.91768294599799,40.49687366524534,43.257980087175284,46.117678554599415,49.57942323559913,52.51418735978555,56.93935562706825,57.384861331269306,57.937184073047504,55.53621902100816,51.136338563010185,50.42932406437824,46.43408420924174,45.27529676593929,43.89239340603613,42.35692901718065,43.12524376802029,43.54629878010922,47.31656028996078,47.97385387165254,47.918743684095375,48.31097623408535,51.06926354099858,52.57300657895877,58.816591276098166,56.27310793104803,55.11407393080754,59.45434900560272,60.41602684383571,61.27989797683358,61.52688784930053,65.48693914115394,64.78306978963248,61.86290250940128,67.0138782693582,69.12437315615145,69.90029933486522,69.63637355449387,63.650648830910946,66.08922836716006,68.515413191275,65.81038956732449,62.0370218575082,64.98586368256461,67.80467570124776,62.71145566535094,61.36110587472132,58.073680502521285,59.996993523434604,59.52747547531035,55.914207104875146,51.70763053605616,48.023254404521,45.055075377406695,41.11753990409228,40.47691918623296,40.233753090491874,42.01460813780203,46.88859862848549,46.28813478079084,51.15235000152983,53.00162112870658,54.11928623081654,55.400807275477476,58.552890853362996,57.36680940510352,60.22621108206733,58.54660813473626,59.31355444596011,57.140052661662615,53.866858048120676,54.55393466437507,53.28476373726042,52.046182394346346,51.794036123711805,48.631656666470484,48.746556591639646,44.83596412455396,42.58744175052181,39.427057136486376,36.7049286756806,34.28862985496941,38.103132815372696,36.959591296519775,37.33360103621392,42.30916366903761,43.60582140361438,47.126442668807826,47.64747461200764,53.24218799661606,49.85936925084524,52.93800816259825,53.88004395673886,50.221030243079184,48.202641270883234,44.29105634115525,44.4111100078179,39.834605583777055,41.741981115134514,39.440122904752656,41.20259220382138,42.54966076771004,44.50094816802114,45.302903023455016,42.16831470214626,39.80840402334433,37.60685897123605,38.76280118266793,37.973375714291414,36.608602354000666,41.469303582544974,40.5980893916908,44.773937460010956,47.67990790079504,51.34408614495854,53.06251913246732,56.72760183708572,57.99692826198716,56.844173940592775,54.57422777861927,50.34009503599605,50.06013963747749,47.86501374224976,45.848376259472815,47.406185969329734,48.74948737929669,52.359722752532655,49.881236767654585,48.320190553133095,50.54745786225062,47.214326095364264,45.44612226447062,43.42405175870288,43.507283981425495,39.33476868063389,40.411546517723764,36.06752509081928,38.784056944183625,33.504028934261605,34.47522961755251,38.28783951670915,38.62201568544415,41.88281982617184,42.818163263951476,46.09545805523827,48.16820366998751,49.06981932456878,50.25628666054211,53.64163665851923,56.20270889073749,55.34870737497462,58.06817550826896,60.21102738070624,58.26574351411101,54.468041605179494,54.50163805151159,51.824924215359424,53.93687315233577,53.83480849929947,52.85922138550946,52.25833680986806,48.861620908341905,53.474183321063194,55.21938415736405,56.82539938292063,57.789731694614765,53.975554305086774,59.553562115228445,62.63357414562334,60.11033614633422,61.73873136629041,59.429107944999686,64.56831218260422,62.42854882459594,65.29092798677017,66.40368120582376,63.86059154885951,63.799031512258765,61.763587135892585,62.04359991738561,62.43033997332503,57.71903859414025,58.226922702421,55.49376604064244,52.84174979013436,54.50282816719549,51.2353551782801,48.653464907993296,50.47033770017505,50.8444478726327,46.11520055278712,45.80651065336432,48.2752655742058,46.67114159707492,42.06407432891,43.64800446116504,44.326309469479554,40.04785350548144,39.08816487034758,42.47350605558806,44.82979361696456,46.96543341800873,51.343883074368385,51.126386534145865,52.35334311569115,57.59400587687263,57.88286721287223,62.464662777243376,62.96205954452422,61.8100307633806,63.807601425022845,61.32784040514959,66.25711909229099,65.79147582151919,60.69350736893327,63.343634949528216,67.69069312345378,64.36649583798513,62.3051540441589,65.79878531944038,66.83865278444735,62.587829710747855,61.59955699204746,57.81404879504172,58.50503700192537,60.57115008406094,58.15753380780863,58.49497950188518,58.92316253368958,55.88982432116362,54.351054516122204,54.1594717442813,52.27531614763055,49.17834857438079,49.130593149328305,47.99159152639907,44.85542280286171,44.34919461326992,47.93797956714893,45.515545898371755,41.28006081607681,45.03468931781606,48.25254084959377,49.751043518214,52.94713616012036,53.28465211580889,57.61859333207927,55.76514500509735,51.99291784188873,56.47152587027492,58.13960003938355,55.26799969094316,55.63208643368566,61.29721864146009,60.14249700095518,56.070101807813565,59.27651071139907,63.436101861452315,61.637755603928355,58.40722699054499,53.88430569206452,57.73337891989051,53.73180150780077,52.356028351743205,47.989727570385064,47.30949520280593,42.588023268972705,44.02027425834454,46.773087307554974,50.514546753956935,51.256484572018344,51.38817206652596,47.50497493451643,49.85864526519725,45.518023658167245,43.06601302292048,44.487210243504286,44.676706113301265,42.24426324470245,40.38252586313656,40.102866844980305,38.43306790794889,35.892930747781456,34.99640822292089,36.150480059674685,34.12718540441888,34.418108287595494,35.39807467792066,35.88383331830425],[30.287162617913328,32.265324733177586,35.85628126960225,33.15343452686479,37.750826398492066,32.53203666232626,33.26243510318899,34.00581107443201,30.011532448368296,31.563708697503493,30.46080759351849,32.080663693219535,35.54947172962027,32.2380176158115,34.439447691765174,37.584201507095855,38.57865474308715,41.36994133223245,43.7973514668613,47.484647864542744,50.25603576168839,54.75188105969444,54.941666548765234,55.24425816819528,52.91339442776786,48.50198030535165,47.98014084432604,44.10172745276743,43.39391659330242,42.43992242405097,41.20392415276885,42.29261550468781,43.13995701541263,46.772864781496686,47.09774714681953,46.576930413776225,47.13694085512661,49.31904096263008,50.55267374165375,56.91000370343272,53.92282623852728,52.87549875197249,57.27461345030069,57.967159190425974,58.520602218018695,58.620419510607505,62.547047652666684,62.162587567586705,59.28211802354047,64.27085261117942,66.62434775401321,67.57163056979897,67.42834855537177,61.49608279707924,64.22347282176939,66.69320411840158,63.76611582121639,60.21037844484432,63.43274322114849,65.96248356455047,60.84645798124683,59.8138891485497,56.7326878073703,58.34261654378842,57.640513709388024,54.15226722028656,49.73132790189565,46.26240390826707,42.93387242041219,39.27277893325297,38.28473585706115,38.08949046630047,40.30107755266203,45.06473052894683,44.85601783876827,50.019471365745225,51.692914704792265,53.2392559876551,54.34301938348235,57.29249057306127,56.21926722349292,58.871729360597925,57.40970452313015,57.910008907017264,55.40752581015068,52.37978967982156,52.98687815859426,52.19486165339739,50.69441348292668,51.024726106097354,47.666524499337285,47.9906603448656,44.13883947599985,42.103431273919675,38.65683348254326,36.18122339490409,33.39867982840993,37.67209394025467,36.51915844191779,37.48423793416525,41.94013685728299,43.287764049547086,46.419391511740365,46.869241005054924,52.15443642882213,48.618619197632135,51.83103518943277,52.43745080901451,48.70447235439619,46.968227741672884,42.794627195663246,42.679045311782176,38.03668967566784,39.52915685508881,37.197646358824244,38.55050893203676,39.972910560061045,41.52666499303256,42.482280056538656,39.738411644660495,37.09687343961098,34.99975243630474,35.72973526795708,35.16748908848867,34.06972855634197,38.903013390330514,38.52938160564051,42.641081632334526,45.7089781896683,49.56482609433462,50.967467290020814,54.86622022354676,55.86896375986641,55.06274282008512,52.333197730460476,48.04064564720306,47.45685484494817,45.06958119044859,42.82339117820417,44.57349549623253,45.5038100657447,49.20823061890654,47.01903251186523,45.60890268774421,48.08379378895889,45.075690765658,43.17039848584345,41.543191313172116,41.85086107736426,37.84249155417572,39.32932983597335,35.34393551295254,38.63692397670498,33.84781106167288,34.67099917983365,38.13360104691872,37.942220558594514,41.11997338350359,41.74669736157706,44.78316646018543,46.29250406074659,47.23881512345494,47.8774494488937,51.517485100163036,53.767315398182355,52.49975126506065,55.353988800516035,57.21390352925663,55.307802792517904,51.480027725682035,51.78240315412962,49.18583787914532,51.66326994657526,51.879457186226276,51.188464046869925,50.970869559076384,47.627317690833806,52.557588847792736,53.855501110467834,55.53642262276102,56.021082589630915,52.375963830080806,57.77754791114934,60.68727890986927,57.983783143801986,59.59535881770408,57.23760671630864,62.22712115762996,59.691032408373616,62.67522704949383,63.71162750276045,61.377337435386146,61.27973976436222,59.32081102095466,59.73237798892246,60.1453569400939,55.4186093013204,56.20086196223508,53.472302926488815,51.12992619418904,52.96941056711469,49.99820702297691,47.12285995662354,48.73578850802791,49.51706874164283,44.79541580478218,43.86484063412405,46.65922570308242,45.64005670891055,40.58193577475036,41.97861192598651,43.046216075497334,38.91351137608463,37.39339290162943,40.83300521530643,42.927336388520416,45.58453584426279,49.299896709389685,49.38382776929699,50.955601549282086,56.19502429678491,56.87220843004622,61.24844394235716,62.033268796062664,60.769646450405325,62.90592827624524,60.41828816406561,65.23539392360242,64.59009215891858,59.282463108328415,62.02638116947001,66.18622211071322,62.633336520367976,60.55481057410505,64.00817184418588,64.79043384751428,60.45572234868028,59.44662455747075,55.87700928742724,56.937738228713414,59.201849054976606,57.05370963191322,57.71019948564782,58.505113403569965,55.46133003277276,53.52233519366064,53.66216203468094,52.10637965410656,48.66898883107521,48.42823849454307,47.75018215491938,44.679735059238574,43.721543036352514,47.54651152861051,45.45100355919862,40.96246283277963,44.44482121509336,47.876796277716714,49.03253246643619,52.34397998062763,52.55500690024817,56.84076523141792,54.88045689894814,50.787343914787144,55.27041596770222,56.81176892191779,53.776994984007395,53.93918813957153,59.68245173702457,58.32233788598991,54.02505378846377,57.221196585629556,61.42934478047586,59.427149716654334,56.0421497461159,51.40552793320777,55.08082952623164,50.90008242194914,49.88428059050622,45.37630624928333,45.04847646688116,40.33496541014398,41.276740114870435,44.06823854948774,47.701356614655175,48.56040966897696,49.11024871223286,45.240778644356595,47.83510335111142,43.39022126953131,41.27047850879972,43.24808806267463,43.75475116515847,41.5528393290919,39.11315295151718,38.96600204567274,37.83323611620146,34.930342696179935,33.60662844792239,35.256288199111296,33.77224994903656,34.25033484564651,35.39674148479459,35.92095540260508],[27.184025036460383,29.40382770749788,33.380174516267964,30.93979992824569,36.023644643754054,31.1185838883516,32.43279088147096,33.56702758874701,29.997774665401842,31.988392278629878,31.43572770508861,33.109606316957,36.43086103089033,33.28917622006655,36.069734036917986,39.0622884865548,39.760026168805176,42.955350598716194,45.41515359131745,48.98952613546779,51.907734612421315,56.335509992812675,56.57925161574844,56.63105921898954,54.12135978846733,49.750708486889216,48.996625216600215,45.075973523099464,44.621992705513385,43.6461934387577,43.17184741582509,43.834272009899195,45.08319563369038,48.929204468687246,48.86774786335486,48.22049445852183,48.4130522755581,50.492513834386145,51.44855192718967,57.74773217841266,54.653624492716375,54.053157260390094,58.52457746400198,58.92668330448685,59.382611822329174,59.13844115572817,63.14422664354463,62.987012968129896,59.79820769460687,64.60066046164692,67.22185470479272,68.14889783834822,68.28630008644102,62.282829770158905,65.04212044954008,67.83461677832337,64.9819738834862,61.455338702593025,64.87405423456181,67.44823895457759,62.51140173522381,61.798536296329225,58.86512610162778,60.57510611882493,59.57856489662247,55.98516467983437,51.77661241214795,48.28610747182192,44.994698139651256,41.449890110498956,40.438786773529976,40.63214560973119,42.88987691905811,47.57622408447955,47.247451291938695,52.67955995939469,53.9228988144204,55.62585921846188,56.387283662243334,59.07279712162225,57.72009798199797,60.11269310036474,58.41161229256075,58.61386423131425,56.04016378291953,53.28921787457355,54.270510942952505,53.61054941960374,52.44111567014282,53.12832559623209,49.9347486295245,50.67897577621764,46.754931904188986,44.565866800611055,40.81160182437584,38.66462987034993,35.51536985964459,39.520030207681245,37.952885160441376,38.64241353611268,43.14268827417262,43.84711544740582,47.16489956941112,47.003412659696046,52.08188644806907,48.20038192357163,51.129671010097226,51.448439092318736,47.47975271469178,46.08549903345918,41.7842912066607,42.11229911131462,37.61410595217758,39.239977599341564,37.47301960709891,38.723627718035104,40.623328304078875,42.022311647331726,43.64998118632193,41.01950838136226,38.19028125329271,35.83530191375332,35.9945213130667,35.12799844589146,33.70239609135375,38.22383604946521,37.434820894892,41.69978028721014,44.60828169384961,48.75017389120797,49.68566056636155,53.64359209337471,54.83359683618509,54.35874561981604,51.49322230448733,47.32831507433622,46.21426027165265,44.2267012332857,42.178740198766555,44.31128693861886,45.407364908815495,49.412880004826455,47.534331376831325,45.91770752030647,48.57514726092713,45.74755214256493,43.56359534399177,41.93460631922288,41.95234836342798,37.89690305015461,39.09971740503921,35.37761447380996,38.67306392569902,34.003087850880185,35.360137644237554,38.74630680955419,38.582702539762664,41.35712357146254,42.33190623580913,44.78309587473922,46.2640454127423,47.720910825128925,48.010322945441374,51.88025136076203,53.693153836517304,52.183606226940235,54.75725512496653,56.473549157840374,54.26855072760114,50.589402756595376,50.93763784558023,48.66824500854709,51.409433291219344,51.84693893539097,51.44190083022487,51.28482709103506,48.29460164616586,53.26788792660452,54.42042865834141,55.86603532787378,56.115297892934784,52.1592343231978,57.41969212625946,60.283760775176425,57.64178077378567,59.679196561908036,57.617473649718676,62.478821517638636,59.78285576102252,62.55718502347073,63.312028674769856,60.96992999156438,60.51889365331466,58.37184436837728,58.600787092054425,58.71221720895705,53.8903093592879,54.53304040840572,51.523378609636815,49.41297883300461,50.90067619664409,48.1243796587968,45.29445553928736,46.44302978995984,47.15442855931821,42.5571605158488,41.34247151505891,43.915108103165,43.029948128241195,37.89159592972826,38.96453552891057,39.9200805943395,35.97697683389269,34.231784989806,37.331824049955294,39.51104065333008,42.06899598992012,45.810156315305186,46.14844429818224,47.63553944532901,52.92191069757545,53.52294284255008,58.0309071664832,59.06127286849666,58.02559558917294,60.38985143450896,58.190880568177505,62.972932251278706,62.026740555523446,56.86133713758267,59.86466943287399,63.81251681444623,60.13654364260906,58.31144318400593,61.92662893946223,62.36842428783541,57.96248232391003,57.44311638807657,53.68493278339281,55.207180949721966,57.359627460622605,55.053626145098335,55.994988255933215,56.700957538126914,53.991710158380634,51.812489271084836,51.665760072369025,50.43025399598357,47.05974204923744,46.36289854316326,45.67650948430472,42.69789918790961,41.43397849239599,45.04694403093129,42.99201280072332,38.411518075223,41.571653750682394,44.959486353602955,46.100540309100346,49.61487700106012,50.103071692265196,54.26474766156949,51.961478020722545,48.00656316866353,52.671329925974725,53.89429321697868,50.76554457556791,51.22959185397091,56.85015878558069,55.17141262646694,51.02414729512214,54.485837708180064,58.44835850164725,56.21936578594849,52.931000857531146,48.310458011762684,51.74972192782554,47.533751388725875,46.34007513826783,42.058178507404584,41.97524847076597,37.407024339773855,38.21961556125268,41.20898135374788,44.782738601792474,45.944003807074374,46.548325777542615,43.0973929155164,45.989878741674005,41.80961430860991,39.387839633815595,41.72769017398294,42.03394084850035,40.28378765373861,37.630950402488956,36.947447042398,36.06945846897872,33.64578168772025,31.59125767338153,32.95058282416785,31.70328952969497,32.30776927143807,33.50876845107694,34.0735503613563],[27.302970445539014,29.00926539348041,32.671808450912465,29.415072020873534,34.46988206248678,30.198975729477773,31.20734962655701,32.90686489753884,29.12515258964299,30.482039993662855,30.174732939235614,32.49748418270681,35.04928480150307,31.433039283248625,34.564549210672325,37.646450687726734,37.747551085212166,40.79639153711011,42.7070147502395,46.51853734622933,49.16992833338446,53.64860854620129,53.58179051261759,53.422379386651485,51.066784371352604,46.71965413864121,46.25954951065386,42.543945036338854,42.54632156428693,42.08500030741319,41.72438030427655,42.859058802117325,44.42354450749308,47.991826330434236,47.68881139496755,46.57330683130363,47.06560605598552,48.49637111798816,49.21613115461593,55.597124959682745,52.05447760745188,51.452807264020905,55.926308043242656,56.10502401613797,56.22934678612591,55.92056672033358,59.83472538804773,59.97909055417155,56.9535773047314,61.5940981847342,64.39523268765473,65.51725809348781,65.70399903094881,59.82411203063948,62.88470061378258,65.599723134926,62.49136125841184,59.23243532511477,62.86694241190952,65.08278861661321,60.104071974704055,59.65873695560893,56.93779246973985,58.25579420352248,57.09299073133364,53.708005302736275,49.24671826859829,46.0546577310059,42.400078829207544,39.204473146872715,37.82653351552548,37.97094674788071,40.651417428680844,45.15158691961517,45.29463872809619,50.89701694133156,52.056688619048835,54.16232495926322,54.824431980864546,57.339261768782826,56.21493849602179,58.43449255304842,57.074135777902555,57.07354707677824,54.17274207439871,51.64188131091293,52.40056445203481,52.24274822375305,50.69134098878407,51.90321714249076,48.48959866963495,49.32524704870375,45.54705855970648,43.671973707527435,39.77670555099058,37.84537233718057,34.49416624594184,38.97393677663486,37.566942192514276,38.96815003986233,42.79917678973084,43.76708691424875,46.53304822912776,46.50486650020426,51.23238495083634,47.34727121125005,50.49406002888427,50.52162947278521,46.60037695312732,45.435682992843375,40.94113315631077,40.82932857207686,36.29205077500762,37.34216525571564,35.398684225794256,36.155815375341604,37.97168078798829,38.91008253079345,40.506761485200805,38.35460209390937,35.298814263044406,33.193958120920755,32.98381744482021,32.50802179022228,31.548684126790786,36.03625061419564,36.02049586969157,40.06953770431768,43.18282144641305,47.397723694765446,48.10791386996289,52.28122249331643,53.07756069133022,52.90129080081139,49.56716198980881,45.338092293769215,44.04741035765584,41.7152683525162,39.34556614658372,41.568232152771444,42.09318067556918,46.08321172850887,44.4776251265468,43.123713926335476,45.985650155825915,43.52392634599058,41.29819114990221,40.16391861767551,40.538110100017484,36.774051776367045,38.522909774616075,35.21210916951739,39.07059320023346,35.011677802772866,35.98020595015446,38.93075502793715,38.179575102246254,40.938625410289305,41.42705444565665,43.755004181668596,44.565166951779695,45.88727956195914,45.63998568768803,49.690888674991974,51.26319407375745,49.35046674953479,52.1530778329142,53.56257231538453,51.52227018422163,47.787742570084525,48.444422145621964,46.18811840018718,49.24942203063758,49.983927195403055,49.819492478412315,50.084967645682326,47.07850939309258,52.32853019211506,53.01162504018282,54.6062191896452,54.38358378035433,50.76905124984796,55.81760582640897,58.47368093748279,55.6225223708407,57.4802372456701,55.286404749377624,59.9752059014305,56.89035990537937,59.84842312849566,60.602544911744005,58.521032076488346,58.15442889299378,56.18181692318677,56.628616655952364,56.876845481127,52.11129771470833,53.12660445867628,50.25531451291301,48.45575234932981,50.27150525578171,47.807970507962835,44.65058645879676,45.711345554308984,46.93127881894943,42.36466270924536,40.51781795019698,43.53729531902784,43.32272275613728,37.76247904373452,38.70998886867129,40.17360301719956,36.41407739871676,34.10181042863223,37.34287323118185,39.112749398812866,42.32245038173101,45.177861527803955,45.78111952402475,47.706848876189916,52.9105796001461,54.00850642437516,58.162397396025376,59.425622632349565,58.173442404370064,60.587352225033584,58.28418676309454,62.9074022212531,61.877233187871134,56.453823615215164,59.43859433886194,63.217450057214755,59.34666982408172,57.41770593004726,60.89788693955288,61.159447670276656,56.70843428542957,55.985236976151704,52.58890146298673,54.36344567203365,56.77105270812044,54.861537220190776,56.05425892262178,57.21202285157774,54.39002310185692,51.86731112714848,52.218136388555145,51.24971170767807,47.50713284342068,46.775219798464384,46.63879523714877,43.74922044931206,42.104503716390795,46.01825133343017,44.36049244623069,39.61687472801642,42.52384138160592,46.124456696385096,46.84887282728869,50.36600768352194,50.5862894598645,54.69227112119583,52.42930363248239,48.084487200043824,52.62534491040575,53.81198820854774,50.55886977337925,50.653066647683694,56.36098387430783,54.57780837109905,50.134943908553254,53.44707460967583,57.533353645438225,55.16362646309619,51.67488416758116,46.95039738029884,50.23282657494678,45.84512215693571,45.187625524315486,40.683559634456614,40.953218195331424,36.41091752377426,36.62599214288897,39.55150659448794,42.96910455178807,44.15267807068638,45.25001612710762,41.70497665287875,44.745954575367534,40.404057632506756,38.53946641441639,41.37501504932472,42.12694533320932,40.508384024012734,37.31162165908335,37.00176024551386,36.68426216569754,33.71987104648021,31.479277336058338,33.51220726030713,32.8373678650612,33.587628326430654,34.910191069961954,35.48798489586155],[24.930651201677424,26.90658237302573,30.956687510705965,28.097134676567684,33.598749664226155,29.64919001386172,31.253537126690098,33.226885605862975,29.942449748038488,31.764104639216466,31.913660463381778,34.13471740165387,36.64278108017595,33.313139739245074,36.836456872568526,39.731880647630945,39.67212426058461,43.06382066802945,45.07509284335561,48.71033837188269,51.51350686245326,55.892450975059205,55.92140169692369,55.57413167146967,53.04800382087297,48.76915423878646,48.05702338658171,44.30834589655738,44.465764243452256,43.90694530694226,44.190040703475134,44.86921783032983,46.70834781678558,50.477909956444094,49.88893832955678,48.751016598503284,48.86915195694162,50.30121263255547,50.801517572737936,57.07305373626055,53.523791563258634,53.33395876801432,57.84408080678519,57.79129534898617,57.87392945802852,57.25674537209881,61.23480083899647,61.545605594802915,58.22721574872117,62.68892034533297,65.69844907938182,66.76849645279061,67.20525472342547,61.27174862940238,64.29937950507104,67.30706362005749,64.31890661969715,61.060301969982774,64.81842012935026,67.12061996736672,62.334504983967314,62.132291591742444,59.51839133383716,60.97996057454135,59.595389234305536,56.10421122812491,51.90019132392916,48.66448461099064,45.13740413118024,42.014359870457234,40.69904129693139,41.176947091188865,43.790801960359865,48.22110018650767,48.17671020689357,53.93878813007258,54.73921750190218,56.89687647724513,57.27964148520634,59.579649197982754,58.176696406296934,60.18390992372499,58.56083766861302,58.326099715354154,55.42753009550969,53.13216740771402,54.25537154904913,54.13454495105825,52.94539680363429,54.36921593955058,51.15585659086547,52.32268100229174,48.48283411549638,46.43638326680951,42.34462522963411,40.66092805684191,37.08489702723517,41.20869399950568,39.441884471664,40.47722365145933,44.41548269123229,44.77151302551659,47.76036051199408,47.16280382350611,51.713907766701716,47.53444822819733,50.362028024686836,50.1531184456085,46.02781159734453,45.1758165811221,40.625721760760186,40.99786612043847,36.660059984634294,37.89999904972651,36.54205088708458,37.26441647612344,39.51307709487168,40.36521299892003,42.567078041801366,40.46602033429339,37.323059395348096,34.97739713760184,34.294932798360946,33.47922946662746,32.155894739888474,36.270883947582945,35.75025746643414,39.927313659399516,42.82652580377407,47.27497881699542,47.552095739509284,51.730179861406,52.75245265002463,52.85844924285508,49.47679614811949,45.41276016042242,43.63195239709677,41.762586981213474,39.657054926728556,42.216912561666796,42.97385224165126,47.21424398291217,45.8788191658734,44.30708170527313,47.28174447734612,44.95517954646307,42.50211039223842,41.306328260725756,41.356765675583354,37.55463686157448,38.94108806665009,35.860754695612364,39.591536060838116,35.60676589250629,37.07737472106919,39.993259024587516,39.364595682221996,41.73369425256531,42.60145690144314,44.39063187098447,45.26052817375187,47.06361842767593,46.572596345716434,50.77788995253466,51.96230341776056,49.88745498878056,52.36682882097646,53.6668949195221,51.324580376401464,47.77046295458893,48.42863147576262,46.508835981073695,49.755548805694644,50.65285864859284,50.72186068735377,50.979730660052724,48.320030477264886,53.52801413386927,54.145238471324205,55.49313201229932,55.121482408537084,51.193686630071,56.10592529260957,58.73161973315222,55.98354811837819,58.257371498171466,56.369620337343136,60.94021675074952,57.772553252049825,60.49008511084936,60.97393493747449,58.86180168186116,58.147052401069566,55.97885287995781,56.217775991484,56.15141286282063,51.30665383990045,52.1354226155623,48.98468283552787,47.39334556743083,48.80964902007173,46.52241902203351,43.470472844601034,44.064373927222405,45.15300064409774,40.74441464558984,38.681803623246275,41.406094007780496,41.26946326878049,35.71324083304901,36.31947966897552,37.612679972700356,34.07499642023867,31.58548086423542,34.41466281538713,36.297311489524546,39.33166353215294,42.26751858564303,43.11907884733468,44.90834147942481,50.1475947682161,51.1077082498734,55.427289456127404,56.908767692462796,55.91160998246111,58.53853935425658,56.54192980128269,61.12921116759064,59.814503455400626,54.58288101923986,57.81452386100371,61.3882277646711,57.42891082429866,55.77341921176026,59.414008842327306,59.35616550868961,54.8548115219218,54.65105694168122,51.04116612008705,53.237261841907106,55.4931073893954,53.392733762827234,54.828323862901236,55.84295875985479,53.370076613334724,50.672193622283764,50.684675593851225,50.00248328692423,46.39815272059747,45.22946895029496,45.028016486301524,42.245337269687795,40.35269416641676,43.990713827951566,42.34995815306512,37.57488564662903,40.150262270182324,43.65716166907036,44.39867639307383,48.09867252712399,48.62203609002833,52.585801215119744,49.98568195170614,45.843166628626165,50.55617988029895,51.41648871444381,48.09353475446744,48.533970285761846,54.08311398273636,51.987668893586495,47.74687785698348,51.33625835601512,55.139422000360454,52.55770195830236,49.19962966407909,44.51730638208497,47.55220231435691,43.151837823931906,42.2588625481891,38.03728507592892,38.54574322115094,34.19224859502785,34.309220740084946,37.43668267569448,40.784018820181274,42.28136353493391,43.38431074220721,40.30976115512623,43.61386241314312,39.59565039584755,37.38512439841986,40.49962124088117,40.99685772754111,39.8218982800402,36.51630675555806,35.63710251953076,35.521740311677476,33.129206703768354,30.216041559636142,31.856554095731088,31.394529108484555,32.25008846432639,33.58810079865004,34.18237832323943],[21.02008169629567,23.158572750016653,27.316499134699097,24.87473084044961,30.39560550549284,26.165989791713876,28.04314128074115,29.867255812865743,26.87630640835249,29.162590023403315,29.46367902902953,31.392757482295444,34.12726817231458,31.19388731445693,34.79936745089652,37.5153798206327,37.62364847691856,41.29764623881209,43.69123518371079,47.05052258740288,50.1145828755348,54.38600457144555,54.68958840985289,54.37999145560829,51.633290089663426,47.3878265033168,46.329641793879475,42.442834099542004,42.42910186717437,41.569384397189346,42.236844829230115,42.42125365443594,44.34900499408655,48.33864169519534,47.622987337461765,46.659883001101306,46.415119775858976,48.139858801599,48.6474938342205,54.80633647566198,51.52779078125401,51.553383483036285,56.076227844239355,56.044317208768824,56.34637368754122,55.63883958247132,59.711706752543314,59.865346760893104,56.302194145082204,60.80317746177106,63.76582020501569,64.67688249156188,65.19323309895502,59.161054006185495,61.99664838194007,65.19280410163616,62.422356056235145,59.01384039141586,62.72528759065025,65.27070711533223,60.63707181224958,60.45775414356103,57.819877811427006,59.600300598879244,58.139253631373926,54.457520009018694,50.599865412882615,47.16784798836652,43.96138907973989,40.70793469942626,39.65916317050969,40.48019911661866,42.77387050191709,47.22638411839752,46.76451440651873,52.576566432907285,53.102056483566756,55.12481511311975,55.326678134645064,57.54363865622107,55.862580764727355,57.81913985188781,55.908815122122135,55.64776060539894,52.9095507905587,50.62446453208936,52.05096644508974,51.7289117345492,50.940456478851935,52.29872341153986,49.33416507070429,50.750247808480246,46.815159021618115,44.5273451449856,40.3335199253278,38.805502723202984,35.119741153937404,38.80783886768902,36.758715098914045,37.412415628803416,41.53535950084026,41.492941166049725,44.73839342819561,43.84355491144184,48.44288432685555,44.176723588493225,46.83522974562806,46.69233597931201,42.5151472559747,41.625558749248256,37.14525116281268,37.82712175273632,33.57675154409358,35.16532019206818,34.13365327289933,35.13449273997602,37.624761204732096,38.75441911312153,41.291092493144326,38.899972096199434,35.8655691990236,33.2273643191183,32.572014904071786,31.34732300424991,29.605288058013805,33.61686740793445,32.550803616952926,36.856932192846436,39.60677812521239,44.05740685013072,44.3812810940449,48.44443553377148,49.70686663297738,49.70525434986064,46.56970903333241,42.583638015843285,40.834951298603926,39.26852555747942,37.45539040202742,40.0296408433835,41.29637248437111,45.62225222809138,44.185001226525095,42.33682747183197,45.21416821347121,42.73464066518677,40.2090938486764,38.72114351923564,38.4654409662076,34.53447308312295,35.573105313003644,32.47029581630516,36.00622971823774,31.98658477644552,33.74955384087101,36.70235437725559,36.27938666983927,38.45843880945227,39.658772946557605,41.25673244125923,42.45027760207135,44.50992347406877,44.22170294576745,48.370586784484985,49.56203113996081,47.71698560232083,49.95103077142649,51.456963488212246,48.950389739590115,45.46602154374714,45.89833289775778,44.04109297879691,47.12963929285223,47.90889967138032,47.94096565228566,48.005515058725095,45.51248351257822,50.583047128449735,51.357304405767316,52.53409610799819,52.32815393839349,48.13324415753335,53.10254502100263,55.82707707528019,53.22520768376705,55.727455984928504,54.0351029133476,58.66122203496707,55.737307562832484,58.243082376984894,58.65725326252816,56.359515542942304,55.51850035207425,53.209529951151104,53.28616249657728,53.11140210406508,48.231354389125144,48.842052554837046,45.617634863127066,43.87076426951789,45.140772800612986,42.724141930796904,39.802744345186184,40.448472838268614,41.33610538526224,36.898387772419866,35.12488990844182,37.69789837697554,37.30302203097027,31.877914862060486,32.60931147873883,33.76404613607486,30.10231305568186,27.848667372545357,30.789350446022663,32.80786210960221,35.657765077991954,38.95519837012482,39.56344605026843,41.22645322203181,46.493922358251254,47.33848582927583,51.71455199612434,53.04741086509882,52.05266228808063,54.62540000884226,52.62467683981114,57.2719834835552,56.025725991155035,50.86149861030527,54.07745174107791,57.746608898858305,53.88877215527191,52.245072241588765,55.942159798178785,56.01674775640526,51.545135522416075,51.39432470143897,47.601433634845385,49.66385804898091,51.80748377237608,49.554947842086094,50.91010984245077,51.79560087645449,49.371152046300026,46.75429515496006,46.62199853773442,45.890881540861734,42.375294732290854,41.196902989586384,40.87586005705606,38.07669978935141,36.2562802899075,39.86209099434391,38.160114678305085,33.40079808325663,36.076711779460474,39.57637352934248,40.39507598444733,44.05900012004852,44.602184456434344,48.60678692491035,46.062445099876236,41.988504272822375,46.720229715154986,47.66690047394322,44.40896531937085,44.92264837250327,50.47644911500964,48.526659484001975,44.36428895155513,47.960362105012834,51.78119620457925,49.358205930451405,46.06673302280849,41.43076889094796,44.69272112867886,40.42598960012932,39.27369119931995,35.04704191214884,35.23116190165876,30.796183458974966,31.328954740531664,34.435536770680606,37.92141573679582,39.31077831493757,40.09466921660179,37.01373683511175,40.23063091292859,36.31146018597443,33.8035009151157,36.737771242553116,37.063871703444896,35.911210142506384,32.754247249217286,31.698156434114647,31.45044439618529,29.28186396987123,26.3273543528391,27.768711572593535,27.2115065174532,28.085506516822594,29.45729875508522,30.130692499464285],[22.698587047526516,24.497742735383206,28.16202094837094,25.32264000329877,30.294275903895677,25.5588768335521,26.771932921907496,28.215654306453402,24.657725811527023,26.565954750078333,26.364575603070808,28.332544754313247,31.241545769421766,28.079871745663,31.292677917219002,34.188555317190264,34.55260129825363,37.96064961027069,40.39868966909101,43.87658303272164,46.87717665528653,51.23945891616566,51.53384050958244,51.45032374879906,48.810560622686154,44.4804240633938,43.583030850413124,39.66348217825476,39.40509882730298,38.54274869791219,38.604346130772534,39.138387000455545,40.79163202288065,44.65487550457735,44.21948046725402,43.34064888365876,43.4012240269145,45.23904944889039,46.007406744659605,52.28066215744461,49.08977356863234,48.71502947163394,53.21688892004345,53.4565812585043,53.88163616376134,53.49371180756247,57.5363282959367,57.44795433370004,54.12859659003018,58.859445242222876,61.57281786584693,62.49667769681894,62.75772378175997,56.73952668306791,59.55365255267857,62.483583446628714,59.64209071049558,56.17121947170245,59.73416118245017,62.271889518154524,57.458451587345444,57.010012008628536,54.2329428199964,55.9701689533104,54.728852733221345,51.08591673972035,47.046386713744255,43.57450994695208,40.3269409172773,36.92002918405365,35.90063270049617,36.48855607115055,38.73933168591853,43.30470047652876,42.890201180768436,48.56979265286914,49.40231135575037,51.3248696883606,51.781899461701215,54.22471412406726,52.75948940913328,54.951245038397865,53.239610938593415,53.245029017429836,50.548733284180926,47.982094789158204,49.09532179439735,48.657291827524205,47.58766768618645,48.685611626248225,45.56667483142816,46.706550028369385,42.78366132282937,40.583987026345476,36.54366027639942,34.775242580822024,31.26703813085661,35.246669863073784,33.499450811712634,34.46624111987359,38.5595273385122,39.11548725718927,42.199098334289545,41.883655707121456,46.732427988350366,42.774155332335546,45.77434503725765,45.935695763656085,41.98065914956293,40.69954582674171,36.29158881778507,36.479558021753896,31.986843646744763,33.470208064214546,31.833916926616137,32.98537826588783,35.0664358067822,36.40746846081636,38.381197140026174,35.804732943660625,32.890984223771646,30.399087314284294,30.308371834569282,29.330739177794214,27.86875171612808,32.332538168904584,31.704775428922414,35.915387350392805,38.88843131927071,43.07243988864373,43.93081252066053,47.96244899318389,49.029042890829786,48.659456878038974,45.64847451508716,41.47547732530837,40.317833721006075,38.287361779632235,36.24583324051353,38.4366279429629,39.608111290127304,43.69201772530868,41.900008272010496,40.19951427429565,42.92564734202334,40.2202692881511,37.92193778800924,36.39586723413696,36.42270371978983,32.46399353483619,33.84079840563358,30.418417445396337,34.08113343892723,29.927451567451975,31.17749153435771,34.2134997942311,33.70657577754329,36.314749269528825,37.176207859016266,39.371769902486,40.60635905657045,42.19073427197288,42.25834606105177,46.22490086083906,47.87397763498194,46.29004203605478,48.830621713818864,50.530734536389524,48.321068597823874,44.63894917025313,45.00137447843804,42.761437645990846,45.59029081733506,46.1423572599327,45.88635521158011,45.896262103048414,43.03426018432418,48.134741313766995,49.04180087981877,50.45759143286903,50.47845872985484,46.55569915415502,51.720940695234546,54.51821269158784,51.83486032995636,53.93030508433862,51.93893490951292,56.73551765552733,53.97382312417788,56.69922046555288,57.40586267751686,55.08235306162028,54.60651316099841,52.47711326978402,52.749609143149094,52.91326444674281,48.10926759312307,48.88150149281738,45.97061525805217,43.92872062664939,45.642440827937406,42.977777883526414,39.96191769049093,41.19311380417288,42.18861885533404,37.55473472466733,36.12491703413521,39.01761979853576,38.46562804127242,33.08419391020848,34.268401460224766,35.59918319784917,31.65238377329226,29.689961220989552,33.146090711286,35.043031864555545,38.0526629967944,41.31029536513327,41.56164340457937,43.355746274035454,48.56817154625021,49.54670999683319,53.73264658696486,54.761516703244,53.462273977208355,55.76242961308273,53.393896028413906,58.09724463203757,57.209379438512386,51.83753552255678,54.75146570478436,58.68852700650433,54.96443567765817,52.99896278665547,56.5168565493588,57.006916249911676,52.6082892808062,51.85282305132986,48.266603332320905,49.785594864875385,52.08256196161313,50.01877044142303,51.05970853177821,52.085366598248484,49.25044457256531,46.86634899091817,47.10838617314481,46.0154557880544,42.35396456545824,41.709743117201945,41.4405328814655,38.50758071352048,37.01573522497758,40.94902459645982,39.217571919410766,34.51202225704483,37.618906249003224,41.21899627472669,42.030012635450475,45.450643182907555,45.62587559118202,49.80516202546167,47.689873574000195,43.3961257543166,47.91257247218765,49.2726429038414,46.122441655973034,46.234107790582854,51.97030199902557,50.433488364557526,46.05738769545839,49.31659853726449,53.47157091641985,51.34565605385619,47.92097832990425,43.25398118586762,46.85781550677673,42.64751523791041,41.72272155451678,37.170750173988765,36.991037869238,32.32475426776728,33.072619714253364,35.915758702261925,39.51037702207424,40.49241844309687,41.189762218172724,37.53813116891704,40.40987747673747,36.11940307598417,33.95322338754187,36.49418022521848,37.08973194069767,35.388488646703934,32.39994265524769,32.015051341891535,31.47618586570807,28.632664203371313,26.531523711047754,28.426228543854833,27.592367411210276,28.33784228663723,29.71406752616113,30.39295132857273],[24.506310107805064,26.58305693840681,30.239968514123483,27.978000614604934,32.62450209854023,27.212836397670635,28.324498428892564,29.027589542565572,25.422280906510544,27.610760696254317,26.875936089900016,28.238353521497547,31.891135719762083,29.048642993123785,31.62704778628406,34.52478921161235,35.55084216475436,38.8462208438681,41.70290794187076,45.04419328641627,48.172232825975215,52.52332675599056,53.03306307770747,53.25045595274771,50.59154538098762,46.23037990163905,45.231460831311615,41.18366758426413,40.41554658406853,39.142322486882286,38.69487666535755,39.06157615560345,40.23399235997944,44.217524306647384,44.1866164279357,43.7640510467934,43.775655399455566,46.20085282210067,47.311434211855115,53.53797641561108,50.771470361453574,50.1542370243377,54.60841274964109,55.18188575749037,55.91963062169438,55.770152895106506,59.83221024476851,59.386212390667346,56.11229323140974,61.062762021426444,63.48457826257168,64.26218037869398,64.33294750852176,58.263382468216754,60.815491967628404,63.62598222417859,60.9532702754921,57.260041291949875,60.53704769148719,63.3349083411603,58.46723643367156,57.63656431898713,54.613993669095684,56.61324264931506,55.65882727352898,51.909746610847264,47.96524280822341,44.271078012648566,41.30082979848835,37.558238058886026,36.84844174625574,37.26626283236269,39.152327060284875,43.89958975575267,43.16790713943733,48.56393430848091,49.68650509976233,51.1985925499865,51.91407935510728,54.63331372117658,53.13222965317341,55.60344449759295,53.74502444592814,54.078533934896846,51.69226876846961,48.79828936141666,49.8872720855995,48.967378842608845,48.03444004260576,48.5121163461673,45.49020650551405,46.33879780881378,42.33429702990285,39.9533358177085,36.192016195890524,34.072884613097685,30.927339835800932,34.641053561668386,32.97947332073012,33.47896377194844,38.12993199417041,38.817161379694575,42.26579231435826,42.18099809668784,47.43316521654227,43.682973388532545,46.65245658907756,47.22176778840692,43.375403152054915,41.70915564976406,37.55698362313635,37.8589505565157,33.33957097324779,35.220644056907645,33.41285934394197,35.018234546838066,36.882310523424,38.668592709830946,40.280068721487574,37.272784518874744,34.65588772647358,32.12516273144097,32.65729081875873,31.55566799891303,29.920681653789355,34.55633241901925,33.537598340590776,37.80554012921345,40.68251772504117,44.62342722424538,45.92861517889396,49.73306235443492,51.01261264481972,50.21516753967344,47.673459280888316,43.50032119537631,42.792294735526575,40.824585217161946,38.93727007576756,40.82744673237547,42.343841541703675,46.25519558639469,44.084502690944866,42.29958314389979,44.75004454702101,41.65806412778187,39.55941063181135,37.633412060455846,37.52762305723265,33.36519284692998,34.43154533384201,30.50332844556625,33.66500917949059,28.89037215362378,30.185779824107684,33.65407757227603,33.64449982436842,36.493133043349125,37.572130257978706,40.1992790946959,42.00685295527311,43.40903863187843,44.109642177829045,47.788924325554134,49.87193897836908,48.74640642564351,51.252113773694994,53.2657885293049,51.10153034844033,47.39693567151426,47.4886245842213,45.06548273688916,47.47658943579738,47.66125570635199,47.04863737535361,46.674859688742536,43.63529402964092,48.47238348993669,49.84839728321252,51.26897595186941,51.80931804261936,47.787509250376026,53.19164052977632,56.17656129923743,53.635590518738134,55.634817743804106,53.5932468186409,58.586085778869176,56.227781616527125,58.915708815236556,59.7725936014644,57.252670210038886,56.90611918778258,54.7505286531345,54.948385779930746,55.16912998982526,50.39210653548265,50.93596435504197,48.081543253337784,45.661262350906185,47.29562922025626,44.267742486096125,41.51516789425848,43.08024940979965,43.684616642580046,38.97622042614052,38.2539429102648,40.87941679739256,39.685714346000786,34.74491361255955,36.214404084666576,37.16895251695814,32.97894555305504,31.653548374459437,35.15510453224616,37.32671097917934,39.828806340879964,43.78533667680248,43.67694552845882,45.14568794004255,50.376822312786466,50.98782799899698,55.37322968880348,56.069942411661756,54.82480670848399,56.94998666549121,54.51058784485102,59.354809747413796,58.706206263968916,53.484200996675604,56.25785907866262,60.441373413752366,56.95631488149251,54.940837069407905,58.468368618227515,59.29151822665406,54.98262484458677,54.12456952826172,50.363465087368425,51.4100509859919,53.55081533627888,51.25365169849932,51.919174054778544,52.61495368429957,49.688618864072055,47.73665762492848,47.722255955183535,46.21999563321437,42.842066529930335,42.49615058934602,41.76130375896365,38.703138920277425,37.72688745820831,41.513940563261954,39.42077967810035,34.926634196837796,38.43197621754881,41.863386148669754,43.03476882801556,46.32407989906695,46.56510121762722,50.85082011300287,48.90386224700299,44.874215853919985,49.37256088444156,50.938201071613285,47.95658184294795,48.20389509300074,53.91298843130916,52.64412747656618,48.445911990766675,51.66404667349446,55.83773544713969,53.95627964216126,50.65672632926099,46.09160653704808,49.922724502430334,45.8931355851613,44.64364874724842,40.182845603588746,39.58684864764301,34.85975313611777,36.15657893358288,38.91742571407345,42.638928292576836,43.43264318920216,43.69615348306543,39.9110880351176,42.47135122321181,38.1915119717917,35.747866144066506,37.63738532924383,37.96477531946171,35.88644302474438,33.51401796000376,33.12590830734658,31.941079186391097,29.30063322631768,27.82947779185114,29.286926886203993,27.78393309258408,28.30754211045302,29.528692893215585,30.158953382796785],[28.066282291895376,29.685396267323508,32.94552035085916,29.880189846330996,34.24725941616177,29.1381378993153,29.60366104176132,30.48680032074564,26.344040123817557,27.640522143610937,26.61827018997691,28.508788190585882,31.679356704518614,28.22368181876599,30.60636917221671,33.766904151245235,34.55558300663394,37.37930440221863,39.733302007794066,43.433838470395365,46.20415160935372,50.696535883917974,50.87204700213566,51.11599935351643,48.75658005981131,44.349237223587906,43.82443853695371,39.96656467026864,39.37204594743234,38.555326655977446,37.48561173183979,38.661573829596364,39.724731076228906,43.305839206330965,43.44400705016876,42.740152251745,43.34205325813326,45.32199169450278,46.477081847011306,52.85668974451275,49.77270787656196,48.7624458346988,53.177885804193394,53.80712197286316,54.32651207705902,54.40674229257818,58.33448040262728,57.975993813688426,55.09741355605636,60.07101046660282,62.44801848265015,63.42004673094822,63.299113721027354,57.379029023451224,60.17351450328737,62.654179371810855,59.6843250004331,56.1844783549816,59.48847871969968,61.94800179373208,56.85605501842041,55.95321018590894,52.95913318270169,54.52430221568296,53.702520573375395,50.216869831122345,45.80807794185643,42.37262922986257,38.997270824683575,35.4121259042068,34.36980642279076,34.333764621206775,36.60468333410288,41.320517590229755,41.14010660892543,46.461486333804714,47.95592642255257,49.67025979511962,50.63992009212378,53.479041876993314,52.42061103978229,54.98816433789511,53.60961626500213,54.02424184871336,51.41715582096848,48.46184286700233,49.04189160113525,48.422692124492514,46.857822056814044,47.44413607704555,44.05199721667637,44.56086578513861,40.7171957004739,38.735632536473865,35.125228496098664,32.83212171437089,29.841103036288633,34.2678166737911,33.112596003890076,34.42398386985928,38.54264501717091,39.986154230507466,42.86545935268813,43.38019120803371,48.53323341571168,45.02908833941021,48.37489347116869,48.91731794782356,45.25784519285358,43.53848851552669,39.31338702330537,38.94905440983231,34.26741243530815,35.56864611458401,33.136242948401836,34.40081123200124,35.799531779132934,37.31032654116705,38.30935762563234,35.61116229206257,32.92129562728942,30.827219799221165,31.526140155508145,31.03006873501651,30.06226886252623,34.94309752024156,34.869441715953556,38.874321842097615,42.040557073457116,45.8559213897623,47.29559100130514,51.24388808514264,52.082112886114736,51.29966940873103,48.459712984520614,44.12757946692108,43.63001144621627,41.07993105778463,38.75030730900227,40.444731839505536,41.31374487314776,44.99259401761718,42.806836094774695,41.42456025465695,43.925486993413315,40.985120852964194,39.06944635487742,37.562322672725834,37.99484519838753,34.087043761034046,35.82502813449064,31.999437569451977,35.59582878346495,31.16478338390331,31.746066769783475,34.96184110877632,34.47132035874117,37.653474976635,38.06364486638985,41.07729220311532,42.361990527701224,43.246391301249815,43.76999511185219,47.44095031972546,49.66769446854299,48.36645682123064,51.29214442175415,53.13990447989001,51.3224110046683,47.4554805237944,47.78991580496067,45.133814018346975,47.63733611703817,47.906170197930805,47.267965213832476,47.1914140339162,43.83614313035998,48.882875438965456,50.003852675069844,51.74102343410239,52.08056453089739,48.56558594516674,53.91668121164632,56.77130936129249,54.003484355242044,55.532847635112994,53.13427332807827,58.09618984566075,55.510634185219146,58.53671809632124,59.60269053145768,57.31273971859959,57.28810201733193,55.40541557759036,55.91025774314953,56.43985218665061,51.760835232982814,52.692683629709606,50.10732673338955,47.79330143659736,49.880983165302254,46.975140954188284,43.94793173893465,45.70236389549954,46.721559740275026,41.96807364712837,40.91092365857106,43.97943953742936,43.20290283721986,37.99496332896651,39.50846873460662,40.86538843921988,36.72601036538112,35.08029898055559,38.79204009995275,40.6533420213338,43.64843217498218,46.972538354862444,46.981398541077205,48.79198346138087,53.955787557576436,54.926189215226906,59.03600125410326,59.79759052754972,58.30958499894512,60.36416316944679,57.708162990447384,62.4597381916069,61.901694599720095,56.42085310721773,59.05024864922579,63.22042116318711,59.648693803075666,57.425227807972675,60.76259768284791,61.62307479006669,57.31417959271961,56.0365802159538,52.66037195996576,53.645753752290894,56.045631208368825,54.126323344072844,54.810684589212016,55.868992120336486,52.66995801308019,50.61969980066959,51.11236231773154,49.609098219633125,45.94163959860898,45.82796894127102,45.46399910111059,42.41694646971081,41.348262286167504,45.43108328792791,43.566717598009575,39.01450199936019,42.49512701012919,46.075776012524884,46.992837851398626,50.20176929558351,50.14001988290711,54.44768832971553,52.67595595055364,48.32097792041912,52.65317125409943,54.334481055878655,51.299733854100666,51.14951757853645,56.98213897118785,55.7633165063939,51.27953492416012,54.2730974863408,58.65243316410756,56.74610635496801,53.248497957637625,48.585695766415505,52.377688715283895,48.205318047521764,47.44311464391305,42.72760015020903,42.328975742138546,37.55349831710981,38.41956705335169,41.05876885407216,44.682971085283235,45.366864515919026,46.010448793786416,41.92888298553695,44.447204185821846,39.86750074601255,38.043836711329476,40.10201737886652,40.87818684744475,38.61835750024407,35.97270716587056,36.17508407068869,35.24625535500278,31.923028013387427,30.747602610488585,32.84150683887225,31.604470100041162,32.144620792803664,33.38989819966464,33.95639092501326],[27.957069536033284,29.75918176903877,32.88594477519194,30.558183512713185,34.474996978084405,28.62780496043026,29.039908532487477,29.051883120028663,25.04997377639688,26.84178432185556,25.351351355226083,26.389062925886144,30.437088569122555,27.620354224733273,29.34382675347994,32.34810934376169,33.93244256947345,36.79784372145732,39.8260472379802,43.1580842129567,46.21935447628862,50.591666410026136,51.1771923143933,51.74663421687292,49.22968813518624,44.849168304326334,43.988039902906614,39.942967771316795,38.71660282159698,37.28698934541674,35.94754644009357,36.61619576362612,37.22550366076454,41.05509488453488,41.526406566951835,41.41298814076295,41.72992188445172,44.48597385037566,45.99002798655072,52.21147867098292,49.74950199191472,48.639282141333325,52.98646989925902,53.96354362086738,54.94064537999884,55.20040120618499,59.18822010261041,58.36937265165268,55.39341160398546,60.59125839066916,62.630909049399776,63.353712070383494,63.09131457409933,57.083399423585384,59.478789988508005,61.94597039854376,59.29840783455604,55.49009609061185,58.45972005939517,61.332579040857205,56.30879761425036,55.042226871290524,51.79798134870259,53.84559373137541,53.259925339392076,49.55251836208194,45.51795437629883,41.74167754090845,38.91787637093406,34.93369962814577,34.42723940512211,34.49318070565481,36.104774381023994,40.97385535554933,40.15397339490191,45.187513400757666,46.76589781052977,47.96000968206756,49.06235315925484,52.11262591021625,50.84278529810681,53.650474378922524,51.958351684840345,52.694343141679404,50.5129866838947,47.24247407102054,47.97965142475447,46.74261892590182,45.584725171765385,45.49040154841763,42.386581972823926,42.77526559999059,38.79990335832925,36.468626533917764,33.10306484230611,30.565323206126035,27.91472773454418,31.7282488126834,30.508966217158378,31.127315504360034,35.88421202152403,37.26981841072232,40.622584889165914,41.24319042762328,46.80307045596406,43.51463173041677,46.74717678815642,47.7473270587462,44.225960272268885,42.08784297706763,38.20628235760685,38.07049441034239,33.4551695266563,35.32377958946452,32.91896784244042,34.80221274543686,36.11115512766024,38.23878535567407,39.095209599658304,35.789762483785665,33.51648252920161,31.213204253386987,32.54997183214656,31.679167233943048,30.31334728280199,35.24972465797736,34.52825976736739,38.591489825139796,41.56539437246775,45.07954896161171,47.0168755528874,50.64614625949934,51.798038926797176,50.51177330783058,48.302529416530604,44.03830242576738,44.048065819845206,41.727848305073664,39.73761099558511,41.11014415458308,42.63216609441043,46.16200885129929,43.54569617563761,41.911972639263425,44.0471381501299,40.63936733355858,38.90560776861633,36.82863387860195,36.95651732701809,32.81941380975077,34.062582915938975,29.744135965043206,32.70332724581926,27.698418552932747,28.376972074665243,32.01638846889265,32.140084720824504,35.46249842072329,36.24686724311873,39.600405783439406,41.63365386795434,42.45581082281347,43.750405909124694,47.06181683182353,49.72595428039037,49.04216762146155,51.7777153431192,54.055174861225,52.21117743177023,48.38129843133952,48.31026398282673,45.512352570227186,47.472802271959964,47.2919939274434,46.264117049923094,45.68732184042047,42.255754537146075,46.92315522760816,48.607334413901825,50.249946794329134,51.21483275785465,47.489722487245956,53.08668362442756,56.17047946261384,53.640098290821555,55.18043450441196,52.854470477907014,58.025541697622735,56.012098091853034,58.85772588674658,60.03863859238687,57.452374712730844,57.5023850906881,55.53406688981833,55.88493112206499,56.43472116350492,51.80217891661895,52.40730908240883,49.896953612798704,47.12805237820781,49.1078260754776,45.79091657233187,43.09645165750303,45.25579735179185,45.821672046016154,41.01485046279899,40.81967857120438,43.58277315999847,42.0890105218757,37.43172524977503,39.318300235450465,40.29410445084018,35.905262493805076,35.0175631995425,38.85282816358027,40.95830728986902,43.41619543187331,47.47040792490699,46.974225837119555,48.44193155280079,53.569852174093,54.18323668761935,58.416869362470244,58.740972203287654,57.2540237260502,59.05654132362276,56.288413312557914,61.173748988532374,60.934239257605014,55.63172299579104,58.05465750705035,62.516056757040275,59.2624256636564,56.96660099836594,60.29573513746458,61.58956804991073,57.41849421162422,56.00272682460503,52.41789023240292,52.80557902932297,55.00403037001797,52.83406566866941,53.07350283062339,53.77943021719583,50.47710077661817,48.92560114047889,49.173774106106805,47.22134045840977,43.87034932567668,44.126269238286945,43.303378233374296,40.15273125716113,39.66576888308496,43.61339391430242,41.42879450134213,37.16272514701241,41.07182501177731,44.47118295618007,45.71958686178165,48.701377757824524,48.63017618620551,53.042469457876564,51.553410406636715,47.470589975367126,51.70751662450732,53.67762644641239,50.87623428859653,50.81455197304019,56.604257927422545,55.78411431200356,51.50347338919277,54.38353958449562,58.807986166949156,57.269743008740846,53.925859193135004,49.41463894958904,53.550080929599204,49.653944340631966,48.51172983499576,43.87127757241508,42.88439090554572,38.0480810294892,39.63125676404989,42.113082650335144,45.898778189675554,46.292322263334334,46.35078552909307,42.11191895476617,44.21716793953876,39.71013731483435,37.54408140113519,38.80975186091111,39.28493869219956,36.6244063113153,34.70290661028832,34.93197774080818,33.31493552622521,30.22822737487037,29.805871495468736,31.454654755267523,29.560658754612955,29.872077991164034,30.970820057844307,31.532535945247773],[33.54418273333964,35.02998996957811,37.79921248252739,34.91839574571683,38.436520480581414,32.77630728275326,32.512344391305334,32.434589306317164,27.983862499758825,28.845916030582764,26.82129211419995,28.114225941883614,31.829133883929536,28.561743592297873,29.60532383056849,32.837127984616515,34.46605115255349,36.60962327767403,39.19544667982234,42.827335322313246,45.469817603730576,49.9477999821765,50.24024454695601,51.01235161722272,48.88406755907571,44.49653538526024,44.166268067616805,40.354112604734546,39.078703471448286,38.00479090336308,35.61233250148213,37.18885915927405,37.34838853800631,40.6556003578319,41.589212610127426,41.400718346498344,42.414180647618075,44.91040814267001,46.633410590742685,52.92752750781236,50.346220964205834,48.645303361633744,52.860121190069286,54.08052552236713,54.95476047529394,55.61138105244828,59.41068154478092,58.512963745398274,56.06116963263256,61.350466488040766,63.167461213146595,64.04104411051432,63.451036738407375,57.650117425054766,60.17099571679549,62.15418698128372,59.26186294238016,55.59977171719625,58.41108771539487,60.992105121549606,55.70396913270232,54.129754723113095,50.80455184300321,52.439702202794315,52.20788911319915,48.81251251776614,44.30873532041798,40.78537995942021,37.67965801821999,33.770891241996814,33.05662147115222,32.41012870159769,34.22840626068288,39.08235930788978,38.785557404777904,43.44785569340476,45.679311936501875,46.853836027248015,48.433638314897046,51.76601875497123,51.04200259785602,54.09243530607297,52.922632873735985,53.92392249201763,51.67233375710714,48.19851277034397,48.29452054029785,47.167636837870525,45.32214924540826,44.98310742807628,41.513863019738736,41.25359020268505,37.50609754123141,35.63179988969379,32.739231094341164,29.8011895972019,27.706966008575193,32.144640638092184,31.66225751983675,32.99554523571256,37.27765540384036,39.60708200377556,42.407398996635834,43.83056666931843,49.384861675436056,46.51527007766337,50.10576344153788,51.238283411055896,47.99825718412732,45.67638687809296,41.87732730014095,41.0822645724118,36.37601325517638,37.742352903737995,34.625640866747766,36.28998055157054,36.925575300872396,38.9121608800961,38.83022323353294,35.73206220164406,33.6040951559658,31.87007893001061,33.67030700423651,33.43935691019719,32.75866689484158,37.90664475670399,38.03238373716673,41.77920944648699,44.97612380749406,48.213198242966754,50.454422409895336,54.111135486025574,54.86585984522969,53.423638420023295,51.11533185539053,46.728358413792414,47.14453502569199,44.26059670362239,41.88948300589862,42.8946510494299,43.826597391530754,46.955053888807214,44.17129753945179,42.98923999741802,45.00732295139001,41.63827845855334,40.25394891375155,38.50662367429198,39.181638101471506,35.335974761415116,37.150688035867915,32.84116990664071,35.967899602836944,31.221784643573514,31.079883522516187,34.52053360649427,34.33159702595524,38.068811817397105,38.169738056419355,42.10650210263194,43.78140800415486,43.90627916903119,45.288517634749105,48.39861880721415,51.40318793832811,50.745888385435904,53.90588214668553,56.116414739464545,54.68882092137092,50.71001322995158,50.79065273244292,47.6919661451635,49.541641457681806,49.28602421294722,48.06954895600278,47.65426822006587,43.81917867245974,48.52037453736016,50.12463767739674,52.11794675403742,53.09673564897203,49.94945181029303,55.53445420917995,58.52882543078251,55.83317234697664,56.775563454853234,54.034285936348574,59.21509282358582,57.15799301266371,60.346987707586415,61.831744900890065,59.43436187630066,59.90466425478397,58.24081973071495,58.89188496273576,59.79350374833987,55.30976039569817,56.229556545622835,54.03594433128755,51.259278403280625,53.65398206591142,50.355563286710954,47.50339749911596,49.94332381264523,50.779969749357555,45.9413558875163,45.64289254028807,48.72432473890555,47.43637496228978,42.68872624273582,44.67300016950194,45.89972113689428,41.51598031013105,40.502598830127795,44.502625533095525,46.40843905913665,49.16157917573979,52.833253066165426,52.35557008097098,54.037487060758636,59.100187880064894,59.926919990106356,63.96306719612635,64.24152467320265,62.544884938040774,64.20915649146396,61.2112220551636,66.0324104392735,65.97403053428363,60.489299502612006,62.70390665854023,67.22486399492256,63.983071020822514,61.4693679218708,64.5930934684845,66.04345202587464,61.91900438203589,60.04641834794123,56.81050285009621,56.9569745384986,59.35046495543312,57.4926175538252,57.605219594956864,58.54891658046601,54.954200394632444,53.48629155758155,54.14761916535687,52.0546050526614,48.55294367963292,49.14461117119392,48.52566345237683,45.372488014987425,44.97254630061781,49.11652368023852,47.040786226571214,42.82026441940638,46.793946099403726,50.25831403688808,51.38221264888305,54.2377988375221,53.90366493905363,58.3497371127027,57.08800560630535,52.80180442054131,56.85665508647662,58.99544772558418,56.20497192094029,55.810681909477395,61.6894262349283,61.00240082646101,56.51767031399244,59.16179678138788,63.77777241420303,62.29371035323162,58.805888684001324,54.24265217266301,58.390169564119866,54.413587477699465,53.633860444709704,48.798841291134195,47.896142465376045,43.0225383112877,44.34080030591498,46.68425946307582,50.39579603971788,50.63254665562842,50.927337590265346,46.388660292299704,48.33269676262931,43.57341008707635,41.9531779128677,43.15194946793425,43.97329994341054,41.03568107807507,39.08726860895188,39.8780460714697,38.324856993722115,34.705879603301035,34.75033232044407,36.82581756150586,35.013760457978485,35.275291057280306,36.33032981973862,36.81087599645379],[32.425123654217074,33.787500709402266,36.21812204701061,33.67558533992891,36.68487542124553,30.688987553772293,30.207659120197018,29.567438076212905,25.204031337565002,26.217902293345862,23.884596800013576,24.64917022840188,28.809494846908965,25.999266476497674,26.589934772730793,29.67623373358546,31.796016339310437,33.97913451692511,37.041368002389966,40.3590503518691,43.22700145854007,47.584273470289496,48.19380580349391,49.162540628953835,46.88811901888486,42.551412317565386,41.94556679229982,38.02631388367316,36.343560155085406,34.88262221580388,32.39678024064769,33.617407089901505,33.549140029849,37.01673122034167,38.08637924305604,38.24696673061844,39.0539334512798,42.0124070056661,43.9395318664483,50.09469772384812,47.93613732740876,46.21108695105223,50.369118726140144,51.797156489528064,52.99203281425002,53.74682903207098,57.582143934186654,56.36903324025415,53.83456352309224,59.252030374301974,60.83890673078525,61.53472680565667,60.87122650123534,55.023703669657365,57.27690824753181,59.2687605864448,56.60802888185425,52.754104792624474,55.364326460809124,58.217522395716415,53.02129675756013,51.26961266466171,47.81884803036973,49.81333953419617,49.66950079372978,46.10296997267358,41.93664710979022,38.173385718464594,35.5061940580964,31.35246058182934,31.05291651208466,30.633768838754108,31.92312698895817,36.84156964377057,36.02635671275039,40.56441089371976,42.71181865709164,43.585260267662726,45.16315828397824,48.57166728576895,47.680868614608514,50.846009117452894,49.4857610464395,50.667056794487834,48.68022154045723,45.03303842004256,45.24222885150129,43.75190037360643,42.20052355550264,41.50011507293006,38.25265274063457,38.038247085811946,34.18740519158109,32.056482474034745,29.261837818042537,26.246629368979654,24.32189393765377,28.341944515077458,27.837524742176104,28.874333379357157,33.39037235397017,35.75635267779266,38.723464508617305,40.276560373491755,46.013243511072105,43.3480960174358,46.91477276539005,48.33104581755888,45.26503671236751,42.67192406378889,39.13464452091537,38.35064232978901,33.73130767273949,35.37275633845175,32.251975036490066,34.30636605368799,34.85837276320596,37.26563948886078,37.13553971574744,33.62077350589141,31.81025212922087,29.932038617150436,32.163827762411834,31.69101163739002,30.809759084481133,35.94150080771441,35.78551226654876,39.45358837062007,42.536291086585734,45.498524913386355,48.09924058519372,51.528941325720595,52.40609131157368,50.62743762506256,48.72485123362508,44.40147498143753,45.22511848100849,42.44550199492842,40.30152284334578,41.03585892691265,42.41395460833933,45.40603507135168,42.335336454275776,40.9797765174979,42.72591256136748,39.071425124855544,37.827876219461245,35.7404242669038,36.261613036288274,32.35929398364296,33.95324988484185,29.435080960738787,32.23580726698845,27.375061358784333,27.0727960036984,30.629649569253353,30.71102104710892,34.539400486615946,34.766061421529585,38.925655374345936,41.00254853274172,41.04129697546513,42.91953540988286,45.76162235606448,49.049033376990316,48.82446837337538,51.85808361078341,54.35716376212349,52.959354985137686,49.018265373893065,48.82335390659466,45.61821029983738,47.07506250182288,46.52319631995955,45.05902052678481,44.359422270560785,40.48037972961762,44.94291409877777,46.852607096008654,48.79864944813325,50.14571908166925,46.939527186889784,52.639431480244546,55.75182969114521,53.20685895916037,54.11498718117855,51.42593762942193,56.719880860184176,55.06131504034814,58.11664876636567,59.68559182900423,57.107034890247064,57.66103735700501,55.98327857108833,56.570013271494766,57.54233606476935,53.1479400541828,53.91725487838937,51.876398079297616,48.823674282435725,51.270279642285416,47.75614099019482,45.073949406991304,47.853463517171754,48.51246207288076,43.6736133101439,43.891892112738105,46.89031274790375,45.27749932310553,40.87760555356459,43.149913100268485,44.27609442783069,39.789355587642476,39.216869800631414,43.38992582183912,45.29955535597082,47.86160972133922,51.751730791705185,50.90330138746831,52.47872597957129,57.42993574570167,58.18325106676375,62.11777495593806,62.0873312945645,60.27074611324893,61.70424231088315,58.548657007051006,63.392009805721194,63.60319553179943,58.17402947853712,60.164806130015094,64.86525120694213,61.84875553415945,59.21835327516999,62.250155801621894,64.03527304825175,60.044245682697024,57.93834351823334,54.69179883641906,54.377627165747334,56.6949204091888,54.8136094351317,54.63219002692573,55.48590098471933,51.74573366428867,50.57378964125909,51.27900639181723,48.92118036530984,45.531535817632076,46.459872451642774,45.726039445804446,42.554396426697544,42.49614460922952,46.65508353925136,44.52978613820075,40.52647840249266,44.72976074752456,48.119654696540984,49.30909992056505,51.92089476910858,51.41796653869577,55.9094997664525,54.962497601137706,50.74394034366651,54.60767608610521,57.00672723934642,54.39607976407902,53.883824660179734,59.73997598695611,59.4069269788153,54.98727595196368,57.41990463652512,62.13075117619432,60.95820052047603,57.53573462727582,53.09545502385173,57.504233212990584,53.74650200127293,52.85851543556958,48.00482109724951,46.68462086992309,41.79768908823394,43.52979047867722,45.658515284047716,49.43476467444114,49.37864871382173,49.325811537915776,44.60736690887224,46.19990102625943,41.46546752852017,39.80914720042739,40.48114471663276,41.2515133676463,38.02565599006287,36.49723376229777,37.52232963240832,35.64301504552963,31.9789306357537,32.66369742787666,34.66867343899582,32.59830415907736,32.72846288318812,33.703972163054715,34.18625498428034],[36.68076673483266,38.00411140697236,40.22076895124763,37.82356031989102,40.43025726599978,34.32038817554842,33.52991029265223,32.41400592613998,28.091918130814456,28.838864184169577,26.054326699577693,26.374456770331886,30.698858493318266,28.144639709276305,27.86043605757404,30.848352622417462,33.43700221953952,35.120812447995895,38.244757157224086,41.43592662613553,44.162375078679176,48.43119026953005,49.10284171574425,50.38439793794413,48.28910556779855,44.045489464033984,43.5727539138952,39.77168867231172,37.714165542387825,36.12036167856094,32.82998707516052,34.25986484153275,33.53983682753689,36.73507587711467,38.35256757763812,38.879611061603406,39.9251640614031,43.1680000733901,45.41188351443955,51.406960471943464,49.59116469110365,47.477661447513256,51.443538505526156,53.21386830536416,54.6029626411688,55.68485031071489,59.39772931278698,57.884226120297534,55.634400374178746,61.17064969822427,62.41272885146328,63.04277479388311,62.10062810331539,56.3921168068394,58.44476843906432,60.107365239918224,57.53068804367817,53.620645799929584,55.87726406400619,58.78083421892427,53.52575529343395,51.35134454815563,47.7218128555523,49.74474351257056,49.99892729102349,46.546485455627305,42.40068492892044,38.66097383527894,36.249722473788594,32.01091620118622,31.945737906912104,31.131482443488586,32.05420227662331,36.9235519337027,36.03610727128395,39.99147219142931,42.61846308726973,43.07968213323782,45.06055401234068,48.75369513093598,48.09017922517133,51.52624061978497,50.3070549845593,51.84709761812153,50.12118372465844,46.21168167875354,46.117910593221474,44.30755589782527,42.616805730624264,41.272236974513035,38.0525299554522,37.28102391510972,33.58619122569077,31.57487830190702,29.42263722723594,26.04054208541792,24.90770361739564,28.69551663952442,28.678538227204726,29.627453924446176,34.14089065655489,36.99788603076692,39.8699031984618,41.94217484707274,47.81824210564464,45.56999321417568,49.19736599795324,50.92960936661525,48.133501841040584,45.25769568411635,42.02868471673052,41.0531088428565,36.54473380812688,38.18561233815366,34.79359692003309,36.99913957120036,37.11710607480018,39.71551584650917,38.97460353526915,35.33076719168991,33.906607473482005,32.30468641322598,35.04052421820855,34.72753296021855,34.020473415800055,39.141735229699606,39.077885325053096,42.53995402804712,45.573214925730646,48.17962701691268,51.16414160897671,54.39004772616746,55.224272250526674,53.10604544827973,51.52893340494977,47.2457685213693,48.520069334626534,45.62191175691071,43.492290399778355,43.86478295734723,45.23711314052351,47.88489453799377,44.54539728258538,43.33326819423348,44.77256865200613,40.94680657570009,40.04111531121413,37.86498969839563,38.501062480168954,34.74348321188639,36.30504429705354,31.65111051778082,34.02602138507491,29.12410648869923,28.40302737732741,31.98580562171025,32.296266498405494,36.33359613872052,36.390830086943495,40.991299244991076,43.26582415862856,42.86825508392389,45.20954083608113,47.67667163991264,51.35676050352025,51.487402365005075,54.60424556956251,57.26373767624399,56.0835449458873,52.13356680995383,51.812143625461836,48.42458485812234,49.5034174601664,48.661695947907354,46.88267320885095,45.97937637090102,41.89037138556608,46.03067122263146,48.22693129999267,50.29029764771688,52.013245908209946,49.059369540783834,54.81264951612344,57.970542195757645,55.502733770381546,56.06852022520256,53.2186728046195,58.57394479656283,57.23885227940209,60.35127907764887,62.137402190813006,59.52524558361776,60.342035309674756,58.79663073024185,59.45011780090063,60.602547774110924,56.35187544819883,57.09496520399554,55.26534784958889,52.010806820094814,54.56178096968647,50.88246267683634,48.34500651582719,51.415978379539716,51.95257986044599,47.140670373638166,47.73016797470119,50.67288271677301,48.80786170571504,44.705048549795656,47.14802563238319,48.17144439636571,43.633639145942624,43.357877162312576,47.5783146702695,49.5128959869151,51.909104547649655,55.96648047024918,54.912030660378875,56.38914242372883,61.26085303805315,61.90854890302051,65.80756504714448,65.5320441027877,63.64632493817078,64.87253467550781,61.58138671632907,66.42638393532526,66.8935195058228,61.52473432086491,63.29228431405051,68.13902911847114,65.31891308697628,62.57417707641095,65.47880714503951,67.54932171159372,63.67897321262633,61.31222118334859,58.15118798597033,57.412506540128945,59.68747265026175,57.835530531742776,57.34300771118481,58.09296399094637,54.19492411597352,53.373978794758195,54.12131566480594,51.465097814301345,48.24816051981957,49.52539633365464,48.630519834850325,45.453436794693644,45.75702888069809,49.852696501509044,47.62150136303125,43.86198062861824,48.2430494420786,51.512633282398845,52.82048070914205,55.2365885754108,54.63038038357457,59.14347772669623,58.446595956698964,54.333750624460336,58.03540760202697,60.62885205261706,58.16053805582767,57.56531490797332,63.38705113603179,63.30421959026731,58.932942566949855,61.19737345344007,65.97554463017103,65.0041822849758,61.617112310465345,57.25370172650362,61.78451329684146,58.130209762747086,57.22050497424722,52.364196319901616,50.8472376389146,45.97237184389571,47.87738878614677,49.875766201519994,53.658057966501744,53.418400630265815,53.20097958394382,48.339071262051526,49.63918746585944,44.89872917808631,43.34622745902368,43.569347424261,44.32004803647585,40.810646429562254,39.703839974703754,40.96205111995683,38.79178134949104,35.12595097103004,36.362626379212585,38.26468859162112,35.939378937409714,35.92084943097555,36.751005410003316,37.15246201460631],[35.08664449596117,36.055513148641054,37.88889917476855,35.21280461748016,37.455202712555156,31.5194078419786,30.36480206322474,29.283005884215296,24.802315444679394,25.146441580786327,22.262403942456448,22.809366005990757,26.85535208556614,24.163966383512687,23.82991196320368,26.883154536099784,29.365775140273552,30.993694823821315,34.07846579094853,37.295362099159256,40.01928502898059,44.304759049690134,44.968233432249775,46.23078212856981,44.12021250230094,39.874564105370375,39.421271539610984,35.647022424110716,33.63164797016145,32.169400483339956,28.87737390553752,30.50687025061297,29.964456163004343,33.102818052630106,34.57038316472151,34.913459313266976,36.07411838415677,39.13061712347558,41.34528717524104,47.377782543115295,45.4796167153252,43.33812137325442,47.31850372078682,49.064124697428795,50.43580481934561,51.539520113211516,55.24012143955664,53.72639514451849,51.512742237246876,57.0491492535008,58.287650713367796,58.949214244752994,58.0055044656229,52.309207075569994,54.43649787058747,56.086298889815794,53.44546222697208,49.578759660073246,51.91819434857265,54.750329318873526,49.4790221790828,47.408105245290955,43.83671835700526,45.81343629667189,45.96463192512857,42.50343443688986,38.325661023839395,34.586942523731764,32.127244827611676,27.893201374546056,27.816784277908457,27.116899014696546,28.052187959418493,32.944643538590675,32.06948487714458,36.22708923888717,38.71956601820237,39.36959361844799,41.24730037388188,44.86942926414728,44.25077803082425,47.63598731685543,46.53694886910877,48.01950880556328,46.18397069232848,42.30753177450682,42.13007940122682,40.48589549782543,38.66429012336379,37.56122225294846,34.23976078955701,33.63190852657652,29.89419901577986,27.9361065628436,25.59538828023208,22.29184251494395,20.978784733651235,25.0851201302197,25.17258971917009,26.631792992129668,30.737437279616845,33.839080093230685,36.38741595703243,38.63200864316038,44.380906688953395,42.22061639567011,46.010158607191926,47.69567928217471,45.01997230770026,42.14120303361795,38.90917395822107,37.61827844281238,33.10013819769584,34.51487902086063,30.933972847220623,33.08476050539806,33.05799859610696,35.66464223660697,34.826559659502145,31.175131829317756,29.79297077706068,28.263393331897888,31.136065059481087,30.940573798646724,30.432794272840113,35.565303276164286,35.849888964634175,39.130410872681495,42.24748887905152,44.74706471426505,47.80845531335219,51.0540655600486,51.695750472924715,49.57539598144903,47.91327413809935,43.60481457643838,45.03966644075073,41.96184704275036,39.759928319038664,39.98857692241736,41.28706713346698,43.82969763311568,40.44438649205256,39.293132102675294,40.703880610377915,36.91187055326057,36.06304032472845,34.00506926218747,34.82320398352125,31.210635178861782,33.07570935843991,28.58023460453484,31.270640271593656,26.803620814741315,25.681940745516112,28.97301849040814,28.92824114490489,33.0465255358212,32.791700610761524,37.47190675268002,39.51115187741886,38.956443665822405,41.24872464500302,43.69332630682421,47.4080292505263,47.54859287681654,50.75521367771927,53.40950129508108,52.357892328723025,48.384526681192376,48.083711340537675,44.614228055763284,45.66294799953532,44.84119110355934,43.076470353467656,42.31631193831984,38.15657203869269,42.42967092297811,44.449518482445725,46.60742247773763,48.19968165882482,45.43367305694946,51.13527226772024,54.23177931481414,51.69597224989387,52.12453931061522,49.19775095713808,54.535904631091945,53.1715860307013,56.34046666969324,58.18336455450042,55.62583358892215,56.55183170372012,55.108998155963924,55.87136837989276,57.16084948443832,52.99456914991524,53.895805935904974,52.24600241602081,49.02837581536804,51.83273037445608,48.2370709479128,45.56719270678726,48.782195073967635,49.55127214583376,44.74998859632654,45.233019474282514,48.41120346218539,46.79531680999537,42.603267773116336,45.135189895791626,46.41524246648564,41.92672403349449,41.55056872974334,45.95525799010794,47.65649473862096,50.334400281665,53.98639148261128,52.877251309959604,54.56695915641639,59.33302165607263,60.25810906031701,63.88221962545025,63.597652203502264,61.50409225112138,62.64783934118869,59.20155095782377,63.957803025462404,64.50706603874895,58.9898435849821,60.62793967574645,65.46373889812854,62.6372133920007,59.75631732819808,62.52313143242581,64.66866157104066,60.84672091468143,58.20641188904359,55.27211824086804,54.4369589288357,56.84658165454776,55.246443277712466,54.77854389171067,55.80522708792958,51.752707253096155,50.826699514618866,51.94499393190142,49.353744808720485,45.91263844683944,47.32958732091675,46.76145088248086,43.63129396611779,43.82952044802585,48.146381486076805,46.16211882887999,42.37267073631486,46.70685574384457,50.09203633462864,51.157877592870996,53.4617487221304,52.590947225092535,57.097060656547264,56.584095193676916,52.24473482806975,55.76961838250746,58.48164534996626,56.02898486196138,55.13148068416285,61.001432281129055,61.051211875194554,56.532506773816145,58.579167036962765,63.49160198943268,62.61609380080973,59.14551566269007,54.796541647345215,59.39275642019401,55.77937547658472,55.116786793643165,50.126758771076936,48.55808905659372,43.69211228681061,45.50993054497358,47.32477220355593,51.05000065206663,50.63239526853934,50.50151315192565,45.4634585262769,46.6416806373251,41.79747906214493,40.58879154380223,40.839257074109675,41.87157709620245,38.2973418722299,37.026900931168065,38.67018981817301,36.706428164109134,32.62776856543485,34.095856853542934,36.39869209514219,34.33227914020221,34.369258260404685,35.273931129266195,35.703653676458615],[34.49922408291724,35.153500185212955,36.73736641476231,33.588032117494734,35.674930995525955,30.104320277703177,28.646605097155447,27.907567171344827,23.199524935624645,22.96183084291932,20.13464904855544,21.292849380711623,24.709753186979338,21.551889703353364,21.420931747297434,24.6490598774538,26.70485485161564,28.209926806202244,30.95058974151254,34.40104768475576,36.974398607302334,41.35847975797241,41.82299833917283,42.971719618537755,40.94354023728159,36.65897087740908,36.40970830788903,32.7302856164065,30.992058695593045,29.924739193219466,26.649950758678035,28.756312049512815,28.536725604098127,31.467300968333458,32.70183646633997,32.63016251532348,34.06898683998071,36.6366179358748,38.71718251049348,44.870214248580524,42.648026663722476,40.452868604943056,44.474189643713956,46.09984953011123,47.28031701225954,48.38273601872664,52.046863979347975,50.68801930314122,48.58416957799634,54.06765083243344,55.40817396136666,56.202235718335395,55.27504571289988,49.62756164691404,51.980823083609074,53.584484896920365,50.739647511257864,47.029325723383714,49.555590951675924,52.148404964700745,46.79552577605936,44.913862374193336,41.475295371181915,43.176118413815935,43.18933477192398,39.83228637450276,35.40066860716854,31.813389605898102,29.018355922067244,24.930792850895806,24.571938734904457,23.82146772906671,25.113876395410323,30.001897415897574,29.48254640677358,33.913231726916166,36.33642987811219,37.36308573660865,39.15033200104058,42.659832165139484,42.21290682435457,45.48634463979309,44.649454916918785,45.98236405084328,43.88542808717942,40.13252847397949,39.76905382691436,38.5189771590564,36.355867875430434,35.7172028741598,32.14974987672715,31.663590996387875,27.977203238023872,26.278382156739454,23.699461239472026,20.56146710317143,18.947555616272222,23.68254625219123,23.920317484231852,26.11590561144684,29.58860184873641,32.93434826158693,35.01156277498081,37.38581991529973,42.884196871775224,40.72947697633426,44.70779010092023,46.2014468075799,43.57671118970109,40.83105023455784,37.46790094668209,35.8112685676348,31.23704980623181,32.23113434203309,28.40325840267719,30.267322165584634,30.08330052039485,32.4697394219348,31.485268168684083,28.057900656808002,26.54256755660895,25.206807344153596,28.04065622119564,28.146871559853217,28.008495632594876,33.18141235552663,34.032733297892456,37.14320481523059,40.417569807270404,42.93251897728147,45.90294494570141,49.283450272509484,49.64364571927423,47.68602689496995,45.72160216166007,41.34698378336373,42.765156919795544,39.409892201159586,36.988040760052144,37.17871110357607,38.13295280641756,40.61314752911015,37.30877147404126,36.341118480070854,37.86381314652428,34.264380135004444,33.417176585954174,31.697559356194773,32.82671420027845,29.423583391308657,31.75576193153929,27.56942779267427,30.76093741074692,26.846281277857056,25.410147074781303,28.28768698560924,27.6950953223514,31.836296857400004,31.150601875064993,35.79897135622737,37.34598549748774,36.63456108147622,38.60655528360159,41.16226721556091,44.78168572120261,44.712009563092884,48.106646026625526,50.60863054992357,49.70146441584058,45.67124502832726,45.53974504262413,42.017850707644385,43.2333575651238,42.58662248056366,40.96209147545297,40.51866835348038,36.29984648583164,40.83709872476562,42.49232928433948,44.787810508469,46.04451737406556,43.5392791195622,49.120316532983914,52.08469452954715,49.39252989796787,49.662058379814354,46.60406005002273,51.86584903252529,50.26331046720138,53.58251157233451,55.462011297765194,53.061947082718625,54.083830151761646,52.770528095276354,53.694536287373346,55.10944738610605,50.993559130676516,52.1478861540126,50.62366984996861,47.58140375935438,50.634872396406315,47.234893940547025,44.34272647940773,47.547180179968485,48.648028651179445,43.86214622547876,43.98276438912516,47.449908773390355,46.24743920972689,41.80317786987426,44.28980360278626,45.88090284785288,41.49537828268425,40.8111675696523,45.32063709912801,46.77745208553248,49.83249317717549,52.96394100934489,51.97161402940083,53.92977287063458,58.63514563821752,59.872332226767384,63.26429054483533,63.11333720671808,60.86460098274211,62.02829238182878,58.49794590030422,63.14688216881066,63.65763705803741,57.96157446343453,59.567359945575944,64.30561059952107,61.36638526975058,58.396152807132594,61.05687200573233,63.12321578001241,59.29090231549522,56.46345373677373,53.783724516792454,53.06421642711466,55.65532120735074,54.33552935397491,54.0316278584716,55.38536142493079,51.24698500529141,50.07476137511247,51.55428124838751,49.15593103311915,45.43947287113083,46.839514704736956,46.65797241014505,43.58887285773392,43.52058293303644,48.04770731773392,46.33347006799121,42.42070397889464,46.59705766386129,50.12658123126427,50.9209220810048,53.22159649881883,52.16153563875531,56.63474994898657,56.16452494639058,51.56590965927643,54.99452352525622,57.7065179312361,55.18745287892661,54.02917287657338,59.95838281295532,59.98181101506577,55.27774715591369,57.19196536637905,62.202938733035026,61.281097082729076,57.6905053267754,53.29830747789799,57.839272834245385,54.16590620964251,53.82024381857395,48.69581625701661,47.27151434326922,42.42226602252798,43.94572276851485,45.664578453435325,49.296925677808275,48.82503624492017,48.9592919342801,43.81374558896206,45.03037503131035,40.056043820156226,39.24873909513194,39.78917825198051,41.1451612616828,37.64991198699231,35.99844312087324,37.93536683697231,36.34758892793922,31.86804427958178,33.26368036422536,36.01491804578849,34.33710146451425,34.486264811183595,35.49406510574679,35.948797322472856],[30.885959907799112,31.234204187306094,32.48326637331655,29.262472656281403,31.065559416497273,25.586685619922356,23.95881154155776,23.295954758963227,18.528526453749095,18.232358862114015,15.523607874204016,16.94991789712708,20.239568771156055,17.04671475059055,17.40797238569589,20.658069756462723,22.53043603144539,24.500962230626147,27.495431299747743,30.833090185874283,33.68627395444041,38.0527491668294,38.6773292637764,39.664727503666796,37.3718599327457,33.05174733949586,32.49661828107448,28.65636117318535,27.007253972835002,25.88220501810627,23.32323867450204,25.089363034676218,25.423659740025435,28.639498982466424,29.370290534414167,29.098479642024728,30.239991119585447,32.7461225079522,34.66158539341832,40.87281510256683,38.592548109923975,36.71540172319411,40.86638390033527,42.31359271249043,43.53036285283186,44.423858198592065,48.206477368666796,46.89794768495324,44.51403363446527,49.97612259495015,51.456066965434005,52.20488867098112,51.466615212447806,45.6838502678513,48.067430061779085,49.94872162452373,47.15902823085231,43.40049112501459,46.13390409258892,48.821697742617474,43.593958410006145,42.02640258741778,38.71026583061633,40.60309578180707,40.26831980312433,36.70166055631357,32.508188670627604,28.754495723321927,26.040951823416798,21.901805675744445,21.630142061881017,21.563617874443356,22.783374963730207,27.690180613893244,26.862752542443246,31.798698927783576,33.61568294195872,34.89054153935386,36.24421267058123,39.49315554961976,38.75941771077011,41.8326856127796,40.81712047188752,41.928689761604986,39.72470915272786,36.11018280371344,36.042236881323255,34.92776617970152,33.02981351670726,32.859961314136726,29.408065012390235,29.569018301701252,25.704487422831043,23.76727875610205,20.573304254767976,17.878339418482607,15.48327554554451,20.292725856385566,20.14428625452223,22.571482180991573,25.843774128056772,28.93247890572867,30.960241744252958,33.084955643098645,38.47614364026924,36.17539965405941,40.17725125011463,41.55879262707118,38.91598757215257,36.24062073648558,32.812848527384055,31.10121769194787,26.505319576687487,27.49912134652192,23.764613978717524,25.717978023668234,25.765935492501235,28.27754640467632,27.76971367267838,24.165058493753733,22.544680821957343,20.890623507419644,23.665576322667565,23.550293915987076,23.28771981616987,28.451168020020496,29.30784984468402,32.38641728799603,35.67504988416855,38.22711978989877,41.15174332156136,44.55882534540261,44.911891714720824,43.02102369727314,40.99731119638712,36.61991616552298,38.02638313840737,34.72418136174477,32.39250075531538,32.61756701104817,33.8271744193815,36.451825993967375,33.165301677073856,31.988277467794518,33.57929995162022,29.961140704767487,28.947203148131344,27.159970639919933,28.21777766770496,24.77898474303544,27.219112362278075,23.19102163966229,26.714170779365556,23.19844680397262,21.705687535544794,24.337991330804844,23.459374326051634,27.503658592185786,26.817603040667883,31.270392532989653,32.74558852649903,32.25005945844152,34.117152775840815,36.8035329203565,40.29092152422949,40.21008302719999,43.503938503179796,46.05364065734064,45.06039932057368,41.050320375046525,40.86112571498901,37.3750301472327,38.63481451405293,38.05366505744074,36.54521826189531,36.17934119221636,32.07878293241796,36.79904942983495,38.30003229257916,40.516187822360045,41.617232483905255,38.98243813199966,44.55180785762359,47.51484000160388,44.817850169021966,45.27219669286581,42.34387637915465,47.61455474041934,45.98266948695127,49.19778503978559,50.98035030802363,48.522978487430315,49.442440830636514,48.07113353342399,48.96347038230936,50.355916963373176,46.23716133513226,47.41201651188013,45.92784397699686,42.91386984175149,46.05780577475115,42.72992333051421,39.76371378709845,43.01453765376411,44.2409722705453,39.48497909978794,39.55418018667397,43.13302841563709,42.10009133983383,37.632176604179946,40.17996578698953,41.93083331870505,37.621906300179845,36.91175643560666,41.529207804743564,42.80743546257186,46.010378990933084,48.873061175586756,47.80026228099493,49.87835449845575,54.480638149004314,55.89974554124189,59.087441561533744,58.936611335757576,56.56964357226831,57.70211136406399,54.11444863335849,58.702339657638944,59.22062687820686,53.45654480535799,55.01903625810438,59.72635631018689,56.77801796368638,53.76078683495989,56.37854094339871,58.457957469092385,54.650612990503035,51.73946888198366,49.12902295334968,48.408998171174495,51.05616793077445,49.85366724485977,49.6279206757264,51.15846733199186,46.99139276922346,45.67361462179808,47.3570810419787,45.085983380601284,41.20576641803128,42.614169980629924,42.68744055176862,39.68043259632383,39.47745237663234,44.13733459706311,42.6422791784102,38.71990031425651,42.8028353336203,46.39888498712784,46.994307784141164,49.21171453168102,47.98647783649978,52.43046345260336,52.063556902857314,47.33221568995261,50.64166835581474,53.408520844024075,50.91261486407637,49.57977467047187,55.516230627737016,55.629808653035,50.869834796466115,52.65259644937168,57.720974540912295,56.88366143737308,53.27571324900481,48.93007237677294,53.54020202965249,49.95927477110962,49.71411607176323,44.54304148754444,43.01018997593311,38.199773013617296,39.75571759068737,41.318816745734956,44.922239174606474,44.314442821485954,44.42382128263722,39.20388416632516,40.351618294546974,35.35579026927624,34.689535780666745,35.27778909812132,36.79530493541612,33.34347720804346,31.522840415276995,33.66800182353374,32.279757043133664,27.55670944006022,29.058925252154403,32.080441873629816,30.662687812560208,30.87708882609075,31.965983278257813,32.479963365328075],[33.67285977865231,33.783830467823606,34.59391563911887,31.403564234028334,32.55147478536303,27.22744269493975,25.09595643381573,24.01383729784974,19.348080319161227,18.41825848132641,15.21091590680306,16.31920163416748,19.394021033263193,16.441816323977193,15.686925533037932,18.871486161698517,21.142206547729863,22.50510811434686,25.54655943278536,28.760454995629388,31.484765220055294,35.77891742530595,36.474112793329695,37.747282287575715,35.60616938434336,31.388111383201753,30.968793548690595,27.28823487245417,25.28685412774445,24.151853001571897,20.741044568365417,22.945528617311922,22.806597387411177,25.69661513417077,26.813131544339452,26.725161715894732,28.217707802191388,30.830969190182643,33.03192963628526,39.104298308659594,37.09707262015778,34.82631157393954,38.8022157934993,40.55693849594768,41.95341423711642,43.170557053495244,46.820152950940084,45.224670977152975,43.13561104747531,48.697732810202005,49.8504348016257,50.55612950256697,49.565102453079774,43.921573790748944,46.17328834208841,47.74267364658501,44.98226744100259,41.20160127386101,43.67774947460704,46.36350603281213,41.06310166206611,39.18977188197163,35.747433099192364,37.647920823199286,37.58794882666188,34.102345189761756,29.906007718574674,26.147241697515998,23.662611816262427,19.406033208108415,19.411201184551466,19.077909538391147,19.87835656866421,24.79916932466692,23.86938950930714,28.4812893156735,30.6218076703049,31.68984396698482,33.32435643593856,36.784687672889,36.29999870859508,39.58702895418239,38.80664132586832,40.20211954137071,38.15676226990081,34.3279455102504,33.893414902473076,32.61971528099365,30.46400051481943,29.904991264326075,26.36538147837419,26.166852365044562,22.372909586877388,20.595970625508752,17.82986911206185,14.814010581078461,13.07754125210117,18.02825217116607,18.53057151515765,21.378773050147426,24.174583520298235,27.946158244403378,29.557471091167372,32.31617148866182,37.680564418522835,35.864893238061846,40.01227858175777,41.6333509283949,39.35833596882448,36.453986606173004,33.361309254727,31.24904704369996,26.846080623097485,27.633275751287684,23.537918094858888,25.56934168939231,25.031828816285675,27.731387294892524,26.517382869244244,22.775213501695575,21.65313110911751,20.39746560198037,23.786511959300615,23.929683758176377,24.01267890630669,29.033167335450656,30.221731320409187,32.90365597886286,36.15658375116501,38.258694379910324,41.568731963657605,44.768830101374014,44.93525427809839,42.74269646186724,40.976358348344874,36.66513883767396,38.60803613569082,35.10737117745427,32.77741081586028,32.52404501419035,33.6709453584902,35.843606021710094,32.27149933797125,31.291127542942043,32.53063562778928,28.79033577187767,28.18427101507148,26.429268775439475,27.750355127071057,24.652079957720243,27.268968264917657,23.345111931462284,26.644931084016147,23.551655929056878,21.367697372032694,23.67821558979742,22.70316480046374,26.95521929897554,25.821556394879966,30.725880853121684,32.17634612817126,31.11797716363287,33.39282944190765,35.668959653244755,39.54581417029533,39.82182930122185,43.2338685285746,45.91688930824189,45.22853412345588,41.23247998288045,40.935322578670224,37.24696926229291,38.10195976589734,37.26058300827395,35.47002017999226,35.0335192984033,30.693209757738593,35.19723259530658,36.80906598897136,39.20846323408997,40.54973205887858,38.32320497625388,43.86266139267396,46.80304855007395,44.14074537200256,44.16432411105456,41.036425007130966,46.334589284015834,44.99724008747123,48.29138757709468,50.31008509638198,47.87165177485063,49.11275943134321,47.94842380829784,48.97662180178856,50.62493563258323,46.731856561743655,47.98617093873459,46.83494795073095,43.69607380365634,47.080773005268576,43.70105655965072,40.805106359965926,44.375260924530764,45.6390360731005,40.97115747793528,41.29522542041636,44.93315685618713,43.85828820827623,39.64568110115631,42.36056577103643,44.16169064373823,39.89368576529149,39.383644271277525,44.091222692582626,45.23635770976018,48.438000775944715,51.16602578070516,49.89210174548534,52.00325449278955,56.4348134554934,57.93064506271187,60.89258629142835,60.532618118041036,57.98306254068436,58.87657165256374,55.090096727865806,59.58764474754743,60.37791828136257,54.60311400097065,55.870315620834724,60.66650560903281,57.90268910427812,54.712831100756404,57.10616182402547,59.47324142606598,55.83029400547014,52.52170021996838,50.16726742586553,49.00796829675528,51.69387642992826,50.705937962380204,50.22972077314054,51.857544058527616,47.47761164837959,46.39936966512543,48.36592377582039,45.9081659383646,42.0566452273007,43.84729964269994,44.00592280731382,41.06012337449667,41.09449027380461,45.7938430214953,44.38630829435587,40.689805404797184,44.84311509216705,48.378837236164976,48.91262479291482,50.87513264448642,49.39761665865234,53.81862218132758,53.786800527628436,49.03611180081967,52.06027981795699,55.05012049036567,52.70567827719199,51.1128292333163,57.00479756104095,57.42067140520368,52.6435466500865,54.12021222362916,59.29980602623984,58.705302727358706,55.10134665806,50.87152586054306,55.58985040258611,52.158897646257586,52.05024933258511,46.846443936950095,45.12535185881805,40.39566296691897,42.02976106076707,43.34002756286671,46.86818881429308,45.98617178884438,46.00210897194178,40.600928443218436,41.38216093003023,36.37969395838874,36.06158655543868,36.25353676899898,37.93104575390793,34.23777074323036,32.710408557811164,35.286517407883494,33.80851559319741,28.905306428348982,31.01507923645847,34.13516822812638,32.68997401310698,32.81329594458929,33.80745364205832,34.2607775433433],[30.452241302729,30.259729833415623,30.712119816981122,27.51457572457269,28.328849742060395,23.127241108218932,20.80247622774477,19.764150914225887,15.070858685931661,14.03226644226429,10.889877369846957,12.323718892660818,15.278203566526903,12.322787805493057,12.180251413046586,15.397871409300615,17.484637877662085,19.485237327963794,22.878951740347365,25.920534107088677,28.99283279562185,33.2473325784888,34.136238366487206,35.21555691311959,32.76020394012814,28.51179728486293,27.701680168189746,23.808918827708354,21.89081083850899,20.635925719406867,18.1828579597061,19.87826631673196,20.44380388242663,23.701099861811052,24.191415896245527,23.884223432081843,24.96843122707094,27.552187616412528,29.55932444660381,35.7033821808993,33.643141850529055,31.76677200510684,35.895855797510656,37.43965059875052,38.88285506643209,39.84571300420411,43.6361419996216,42.102384586782215,39.67135348735086,45.21061565600726,46.5283589421899,47.176340484585005,46.408906490802735,40.60108410636107,42.876880027601885,44.78052127204136,42.097885247814844,38.25223757410229,40.96170583073543,43.770201014760104,38.63004547481397,37.121032401060866,33.82891588514458,35.95803155232977,35.499917164439964,31.772066969850417,27.8984876656777,23.952190909334714,21.617846485549844,17.336777161098844,17.48624350517305,18.036545001808317,18.704753285822694,23.55239039450994,22.23621208952059,27.388484770269713,28.786818856786844,30.11814539129316,31.228755346985317,34.371952198675686,33.5267685155886,36.57805399938645,35.55752466854597,36.6949353055334,34.53662568580193,30.860852530564586,30.81006758673485,29.67189340198577,27.879605564978046,27.86345403953731,24.51472919598905,25.103771784788982,21.148087106111493,19.07232646861003,15.538377009009244,13.199297662253619,10.3545268863576,15.320521207025214,15.279491101057351,18.382267790195744,20.951744915903387,24.37493119714248,25.968084102016434,28.40754576974746,33.67536932251827,31.674180297388975,35.83878078546558,37.34027888704805,35.030827620520284,32.20035376645523,29.04075542576774,26.888152351464086,22.462075106538997,23.281816134051315,19.303774279488646,21.492243770407416,21.250826064354452,24.135075194516734,23.532247177514236,19.55462105015533,18.326030288943848,16.640524097606882,19.982264900892748,19.81737217088315,19.721897857138845,24.710121450542736,25.86210691903206,28.508729786234394,31.765342915578422,33.91571015776889,37.1769543735513,40.40338464465401,40.59039217253552,38.46653067153654,36.64763789635152,32.331855363407705,34.2586433331054,30.846757963915902,28.645692131655906,28.435545959523328,29.919301910198737,32.2720905623074,28.72425080775204,27.470752553829627,28.78706707898682,24.997431620850218,24.180916447631443,22.298595360627868,23.5111768054159,20.347083682441188,23.074383018573823,19.335552538068445,22.996158493971407,20.38922743953141,18.165597560534334,20.165703202513342,18.85585571397373,22.994608978060405,21.885628447955604,26.569647812960394,27.98060969924332,27.20019952840711,29.37968161726662,31.81536457405146,35.54033042398979,35.81518117385198,39.09359603016171,41.83984569949129,41.03239761159206,37.06289289045911,36.687902849946255,33.04691490353145,33.94606507134043,33.17107185174096,31.50725681772517,31.137046425202747,26.936915076172845,31.658048515644996,33.115679491093616,35.40893825668938,36.59103294792316,34.17416353859615,39.723746127304146,42.67954466319783,40.0183359361571,40.283917809068946,37.32002552543102,42.640931078581694,41.275529338192804,44.43793411634081,46.33548827919846,43.81588593888083,44.92201318991689,43.672183276691015,44.647082259056496,46.25172082904177,42.341520533193005,43.59604184060485,42.4689622165329,39.35373727087171,42.80902381961702,39.5009451745914,36.54295655957769,40.15064717223095,41.52209989145998,36.899343091087424,37.18844101181227,40.908564060587885,39.991908607228964,35.790334508961394,38.55303008332949,40.48785213153346,36.32382782843855,35.809036770326,40.580674565372675,41.55310249595315,44.862481798909364,47.33954291852614,45.98715658992823,48.19379654691113,52.51469083626287,54.16927454385441,56.93779810974171,56.58258915942904,53.93665146428464,54.807319385006224,50.98231152501543,55.42232136605061,56.208073364609824,50.38044206187365,51.61721063092033,56.380451618346505,53.60686420366133,50.38399913748342,52.74651849495003,55.11963118543887,51.502598016913076,48.13568075780842,45.82885843182543,44.676476256014425,47.407388956266786,46.51818598805484,46.125858293761404,47.91504565047779,43.52636884781453,42.298877594011145,44.4463619304677,42.126060599775876,38.12529565743558,39.909062564804245,40.31261376404824,37.44274629674871,37.342345943968674,42.14234390094946,40.95195665759891,37.271355519469395,41.30522393060625,44.88271082136687,45.228086918155476,47.1064429079443,45.48373712990135,49.86491498408488,49.92287985412953,45.06743048291883,47.97431013477332,51.00488985160792,48.68926434209171,46.945859470197675,52.83033868578456,53.32685280454156,48.5180031577362,49.874250860957666,55.092176582440175,54.57937208325754,50.97431165479142,46.8050412537975,51.57977678900559,48.255620561643504,48.22260828749375,43.00669980780284,41.17514320984148,36.51224252205212,38.191462739621265,39.33982393633554,42.82972578589113,41.816828811266696,41.7879558294358,36.3322376485326,37.037278935260694,32.02961744132674,31.841583991010054,32.06565898542181,33.89511035941645,30.262674801062985,28.575742317253834,31.35403862688748,30.08345193224104,24.970668991338446,27.20069100767339,30.553585636852272,29.382028900954236,29.56918854742747,30.63074581229361,31.1384515604614],[31.178690194578888,31.142346714078865,32.13029128216658,28.212911098143696,29.916563880123412,25.177063502999104,23.234530788078903,23.293744441761177,18.37864572002787,17.141138173467212,14.843732844282941,17.368632470183268,19.33950717209793,15.307459470104456,16.30341451205815,19.734054925615244,20.64691382892865,22.429967559325668,24.684989478516965,28.45095687068929,31.002081069606554,35.51706688902838,35.75813567479278,36.496625157741114,34.35512552417911,29.97070892660216,29.79258710059187,26.14821127902853,25.114376928853197,24.743197838317656,22.403288068666996,24.87335586865695,25.742553189045697,28.538015745110393,28.862650393803193,27.887407669235543,29.43852755715349,31.046274709010675,32.657735626528485,39.03156909127869,36.16597723351903,34.26244156442958,38.474265863045204,39.65836684991899,40.49494680309717,41.33361049967671,45.05404789011729,44.07396611962733,41.85739415971721,47.18518783681609,48.88305491598507,49.8650936725555,49.187449858130435,43.50629034912009,46.270794196788486,48.0916597857813,44.97467097017828,41.51456785966904,44.553377719158604,46.81986853714419,41.49779780137456,40.27853213005687,37.22633351669281,38.62112638236427,38.04616871291488,34.700519557835044,30.096884095816577,26.690224721647276,23.352541822314056,19.61813994683901,18.721155206256576,18.597131870911223,20.57327304096406,25.339671194657942,25.211937207193426,30.503039763869594,32.17700072683571,34.048084908998085,35.23490664043275,38.24578686912943,37.78733307183249,40.62189090843128,40.01658108437102,40.84683421088812,38.22090335771928,34.888952596754216,34.55083923422214,34.120111333527284,31.711847158013946,32.32229768040647,28.557670706788283,28.900962268804683,25.25114203620287,23.812579672834676,20.371787318210192,18.149553033629598,15.360744464893347,20.87573161619767,20.909609768313278,24.22714473414258,26.494394557738683,29.753630032743047,31.072245499236,33.25304154439428,38.15991563867792,35.82319942013063,40.018507581444396,41.037885553046664,38.43482671576789,36.06378247567296,32.43036982600897,30.250414153503275,25.635618952729885,25.895500476279793,21.864028706245694,23.18834363301698,23.05371899923082,25.048506595802372,24.39682104895142,21.319404989617592,19.32592868571843,18.022866716485865,20.516439050816103,20.974471008581986,21.375969086288038,26.53164644920099,28.29771754508475,31.117118430072846,34.62053812402821,37.25838440106196,39.90912636467999,43.54078035764476,43.47960939442841,41.933625240086066,39.38339844196409,34.92893417038793,36.16119663547615,32.45529532874891,29.73874054567744,30.00750014593729,30.5584526496034,33.154968379103146,30.100930758465957,29.246508320778567,31.10427234883825,27.909195612049047,26.83653725488753,25.70389574415948,27.238280604426766,24.19949419275568,27.294832193392814,23.897931655878146,28.03950471187146,25.348671562792433,23.63487401456612,25.607709257367564,23.964748892159616,27.85002427107933,26.572387303228194,30.77300766944761,31.398506546494037,30.741321700693668,31.938499009631748,34.86834344501569,38.088988153736615,37.55857665361603,41.14119181322983,43.37892223193088,42.57326988154461,38.48484733972645,38.62241231924634,35.119627609897776,36.746989826454225,36.52024007395407,35.315685693874485,35.483464266051215,31.40017272633705,36.475709417751666,37.36473125324968,39.74496538594018,40.25635913637889,38.00843522760614,43.32319583013577,46.05133658110004,43.11409654285928,43.3750641981584,40.2779662462822,45.37972632655357,43.29096917224622,46.740791361269665,48.534203557051875,46.35321025385445,47.36480236413297,46.174109236985736,47.29634814372714,48.8237551699757,44.766592433942876,46.31448023693668,44.95905343180062,42.287128395018954,45.70628797880947,42.72809916773674,39.45997262883281,42.55719412932536,44.24794043201791,39.56872741531864,39.015776548902146,42.95319699349226,42.54508246693984,37.72118869644483,40.09600796587587,42.24523224300655,38.15190351364672,36.943832332369006,41.5869123735873,42.53976357678364,46.233283304202644,48.35702795470903,47.540913067253534,49.96635520712664,54.48741857794153,56.30115250032288,59.21072277255773,59.30732295847534,56.80018701736704,58.01438406954436,54.39497534414745,58.813315542252994,59.203652853741886,53.238746099510315,54.81544015105093,59.31957298741362,56.18169290358719,53.10293559561472,55.596794710439674,57.4680458580622,53.62843849623934,50.55908655162083,48.29902134388517,47.87359684234181,50.752355952664566,49.91826205624844,49.9861972561903,51.92581162294754,47.74227240778596,46.047457956080464,48.139641491572114,46.20346029457106,42.01061027875812,43.27714049700294,43.84839874967857,40.96115735108826,40.34254478103786,45.18813912350681,44.04257759041309,39.97038504976095,43.74529473643018,47.49142018073265,47.739229092057315,49.998584743220704,48.604658403198904,52.955311327155464,52.55515574191907,47.52875719315707,50.74319981663214,53.415083747329135,50.8056521326968,49.18692818164992,55.1631537566433,55.145353394349705,50.16198860118725,51.82163518787858,56.96012243495358,55.98418453164567,52.2235024669436,47.81393322443201,52.2556142461721,48.55668510284718,48.75859459704306,43.45371677447472,42.23676814443795,37.50355402555116,38.534618437808746,40.01039695340108,43.443031543341654,42.8466953120588,43.40832838775821,38.144008176665054,39.43931751582904,34.315762373724446,34.21507092856689,35.341783573220965,37.261904532494455,34.066151751212224,31.660589615903234,34.067096935600745,33.27624255392847,28.185280662617153,29.349935554265024,32.89121798717683,32.05247995128392,32.43995977616881,33.65713389934236,34.20103619716541],[29.774302153905378,29.392879567490027,30.10853280454665,25.77365036361218,27.355090301345395,23.20894853406795,21.1144069433574,21.771355873716136,16.91373758269102,15.173348992725288,13.508895468630353,16.800436885493166,17.782523997088152,13.286112340285637,15.237969104081296,18.618795494145253,18.67509909511376,20.69503198022534,22.560615170584505,26.477772875114375,28.992953483962214,33.541038725061796,33.63053488257339,34.063957586809124,31.847324584516137,27.42811519641186,27.278029909783108,23.68202481104168,23.19576485000878,23.272790199521317,21.708386991794125,24.22831832543542,25.730344838087362,28.42605768283318,28.197196108311097,26.7061683486315,28.230000202413198,29.224769193022176,30.4783950292332,36.93943693070862,33.665268276491034,32.02784088914594,36.339509179760846,37.19716774384787,37.78642305764855,38.40140481730978,42.16255266652565,41.46614017758499,39.14453689481627,44.333871369042114,46.29346736838521,47.38931940653201,46.899003318317895,41.20984559033278,44.21615893681816,46.200102477075575,42.943908772204594,39.65855226492879,43.00251511503497,45.06863060680446,39.81874563582544,39.03066705364702,36.24803465252644,37.45337806990858,36.5127400359642,33.20575683391965,28.573861056872143,25.35007923001186,21.725372795494096,18.37643895247383,17.112782780212775,17.453063623905464,19.832397101585027,24.34868329446835,24.47193080045767,30.147097364853078,31.332807682410426,33.65583697129502,34.46092631759285,37.125069984519754,36.62691352843235,39.15056508345808,38.641960530780146,39.13394597699413,36.20466130121726,33.193959301304815,32.936126958198635,33.002480958334004,30.53922959325271,31.883036555276725,28.108820755791566,28.9341853363713,25.3958618411859,24.116008580920813,20.30524272585608,18.732157258794572,15.419737954524964,20.99189796313416,20.81732997473457,24.5170914606514,26.155746205245354,29.172507955593744,30.117037812393068,32.042574855484894,36.549719229088964,34.05278073849844,38.2939519996939,38.98928716931268,36.355449296279815,34.27363332413322,30.470739717282967,28.08557320912958,23.495550077380862,23.307119618241266,19.290935995089118,20.179846903963245,20.20592557599684,21.84599699095615,21.580758081361623,18.846587612877258,16.43907246909339,15.109069608487212,17.135758898744726,17.81081976111648,18.537654854846682,23.62362606006192,25.901310578319162,28.57494956811001,32.18538075530763,34.95649704034936,37.3175975836114,41.11089816196318,40.83816165030693,39.602064224190016,36.673107925840405,32.19276773527458,33.189134414208326,29.32268469214626,26.424386737339702,26.84764538254995,27.125837597402935,29.880897771841124,27.072627789292223,26.266346273377156,28.395975549865973,25.528210385031585,24.24617592799446,23.51607794784838,25.22859091238779,22.42898158102959,25.87444777824977,23.022592141691742,27.596188037425687,25.55789768563245,23.876413945744943,25.357264360760453,23.209704799372542,26.79751705569105,25.28792441213928,29.05241657422441,29.11308417578659,28.602821410050677,29.220289929145256,32.432461788582586,35.30967024271774,34.42116330386515,38.08187200936041,40.1187442877444,39.32041300194808,35.20971804868712,35.53955329013193,32.11037198216228,34.06428601939269,34.14453058331002,33.25605563502381,33.79181901506896,29.890947815025807,35.22888559230774,35.65633484015823,38.02678860998097,38.06125754919661,35.91210792638205,41.030832358371704,43.60796179483243,40.53874881470778,40.87060397905035,37.80659037667848,42.776082615656925,40.35351283008036,43.85094089388815,45.542927521460825,43.499611279711985,44.4401576091508,43.28893882813236,44.498047565272906,46.035474557441326,41.98885155929663,43.74384099546434,42.42928605007085,40.01666750829205,43.570383967667524,40.86551666034597,37.40322516436661,40.34459655407889,42.34689424184563,37.758270785475915,36.77097206205008,40.928008811181606,40.97506375306251,35.94453820300406,38.1910814391869,40.617739367514325,36.72754550750351,35.19917881954403,39.84022597886104,40.52953387464392,44.543832797247,46.120418145509575,45.45261730753456,48.11125813147086,52.53659356570566,54.63481869708413,57.314289386045665,57.5846005891705,54.9887283145673,56.26946539841932,52.66194566723219,56.94762674850675,57.219932804692,51.14200257081805,52.75125060175955,57.088055153660946,53.8187234705675,50.72857765879103,53.1604987504602,54.85764149919942,50.997632674940824,47.88354613891679,45.82600515321079,45.656457225390284,48.66997770133805,48.06801002374727,48.38540236638279,50.60475229142222,46.47013659270461,44.46587676675259,46.815712272160496,45.176259699405946,40.77034320662525,41.878554350134586,42.8287172315071,40.06094638076944,39.112123116326345,44.062873968962556,43.21014608712817,39.06301803689911,42.56383413323709,46.397094138155644,46.3662678430323,48.63452002502884,47.123770082943885,51.379615339001205,50.95404634840588,45.738838875756834,48.868384716720115,51.45612621790913,48.78345571708956,46.97260975720158,52.94808084358493,52.84679150578505,47.73743981621413,49.306794568739406,54.469710962530925,53.41775739544929,49.576399342987706,45.155102274558004,49.4923339743175,45.762158671168706,46.25069219404637,40.88440288731066,39.8410595713405,35.20368263001432,35.91041755400465,37.284727939789605,40.59071628562182,39.984063384565495,40.81687220183497,35.562181312927365,36.969572145229314,31.80855252901932,32.06555029632371,33.59980206674702,35.780478032905606,32.84959084511243,30.001541939106378,32.54851387156144,32.23416970741162,26.950967937556435,27.827996325751084,31.721940108391674,31.363567451234683,31.89141100341367,33.21288239508885,33.807508207552644],[33.015103097071325,32.332807676698735,32.825076844498106,27.891442834742964,29.326677907795176,26.2561525871267,23.967883148092216,25.27584694127983,20.676104914736275,18.09491209823221,16.98197595364913,20.77453164575784,20.37492804109941,15.499220754042748,17.56685225096898,20.771229622202927,19.728046888056117,21.006341760963636,21.48158302271512,25.893147085360646,27.695609210531135,32.31780490388096,31.758915992496345,31.895968039767588,30.124096369969887,25.77695770243967,26.397181189302753,23.384466249205833,23.743605624422486,24.83929777093407,23.23245950098778,26.614152981196327,28.34107662815298,30.30991908635038,29.869704791014808,27.68445348911649,29.823577201963378,29.65644735946493,30.55115174401865,36.98723652869819,33.04069884184359,31.22053129588286,35.414108381121736,35.9848973325214,35.995772131032545,36.65177420112749,40.18138719370779,39.92981987791811,38.063221081015904,42.984343281967305,45.12509126435197,46.55384695777462,46.038967293016896,40.66988394147148,44.11271408282499,45.82534978217748,42.15333309458193,39.366852367934555,42.934164990516024,44.34938334827277,39.003297192570535,38.54103358771551,36.1176348518217,36.52577346644485,35.450100248601174,32.65314314138684,27.48053126718115,24.994335921963092,20.62183628084585,18.203067682153428,16.038209996543593,15.890310015165692,19.27508777640192,23.25157008757264,24.512326191503213,30.15073163396356,31.392203774122947,34.28621271124881,35.068893727028545,37.48713668351559,37.50974840580255,39.77460900207533,39.90523213112658,40.156017086243224,36.82393806057873,34.18610795027732,33.408492416775346,34.27372035382376,31.100307280610732,33.13716768147868,29.062037643382105,29.773061071779647,26.735891667962267,26.20423637331967,22.6512539510612,21.467520250736484,18.44942240164797,24.25259656060009,24.488387583517245,28.7880812751236,29.45951716777501,32.731070341094124,32.86752268539739,34.97320634012644,38.84295830234566,36.494354334807014,40.85426108086071,41.181171099989406,38.71424041811225,36.990968133694786,33.14380994958822,30.28061923967693,25.94423610735606,24.82388021160364,20.632309263913744,20.487186600737314,20.032269936629326,20.648955935664436,19.810756639312196,18.27355172692056,15.564583125141896,15.247582698950783,16.640047961395588,18.359036396332467,20.09510298668576,24.74630560516473,28.105658961517666,30.294635297030748,34.019270648025646,36.73478395131525,38.74900244952159,42.69580666551448,41.88042485043771,41.05028395694515,37.575066081350904,33.14430667247432,33.93997212086328,29.60776623998783,26.228644434112155,26.621321711917243,25.707660005261236,28.192585398610582,25.819462574024367,25.688862267271784,28.05103236179622,25.93093278836135,24.769434616199852,25.013900276389673,27.28907159631212,25.184816369322235,29.134077629934737,26.990528028998536,31.814356784560427,30.433227437652043,28.55318924280744,29.48344415374589,26.80669917327441,30.143105391906083,28.011473513901656,31.460152870003245,30.505977293254627,29.638644336075735,29.409195125595094,32.7294479272405,35.25198583371256,33.78960666399426,37.831531801899814,39.36735468214219,38.933845504076736,34.808290159801054,35.61063118161432,32.22525531675928,34.55672979229716,35.048496401092656,34.49755263954114,35.63863582580775,31.813964981996065,37.29543592871055,37.04635923135126,39.61389289606716,38.9970679488962,37.50633133916457,42.17485799573923,44.391791012110104,41.076576411349414,41.005307883577515,37.696595185407894,42.320443149296096,39.34117825453898,43.167174431836884,44.91779407202918,43.326732712515295,44.46110314570347,43.629490446985905,45.15280249248339,46.879847571021756,43.023803501467164,45.22066611243508,44.1154103858642,42.15132240469628,45.9483542486142,43.671237665874315,39.977283165338484,42.681854608574234,45.13850938332298,40.73251347980424,39.09533849462931,43.535429249763276,44.219191696129386,38.93739025403562,40.92245614715386,43.689003483695174,40.09167230237031,38.077392808643715,42.60106359519722,42.95983462646935,47.40527362370956,48.180910048528645,47.84707976875,50.82510654827191,55.11954930776249,57.58687040899151,59.97107108871575,60.50731582115113,57.80503835204981,59.154502581360994,55.55444970141298,59.607129380123816,59.75102930040567,53.53790833071481,55.127741295918185,59.188198286863006,55.75328418454974,52.6315476294368,54.8691607349981,56.310015142544295,52.470207862500736,49.197072291188874,47.61425882529764,47.75981331348214,50.98203388256053,50.799543845783994,51.390916680284214,53.983156926392176,49.86990845889282,47.56199239968636,50.28113582773339,48.957277133047896,44.35122613060172,45.32436453693176,46.700642417813036,44.08203562231643,42.79176249355038,47.81059585979677,47.26125935005442,43.044847507805066,46.20976520463666,50.11797499544838,49.78104315104835,52.072928267059076,50.435175110240564,54.53908428048018,54.07375491153968,48.648186204579766,51.63833305077852,54.079336507308206,51.31721906748852,49.240835654316186,55.16606132511376,54.89989350524427,49.617073062948656,51.032068884307236,56.19474355806956,54.97375605815601,51.005442858249324,46.57215373148581,50.60096715218654,46.757962709290766,47.777148368599555,42.36556538242442,41.769395809278755,37.33972037588684,37.36408711569894,38.63088072005884,41.6369711434787,41.09065976774873,42.48454187416243,37.32518480373548,38.86510815072619,33.71836843110356,34.62594791865433,36.662897209863786,39.17817664824305,36.54848124767016,33.268116581152654,35.97483515025523,36.19865843115549,30.785908196864156,31.30421249852645,35.5103528642915,35.63138310083715,36.289595947850486,37.67301606392975,38.253542751593464],[29.613684679198286,29.588143851228434,31.02696659350623,26.42486304754973,29.083833847593926,25.187197324880405,23.855158315961262,25.220949353292145,20.493478032745195,19.38637343283389,18.36623227894905,21.72280422067916,22.758968444993766,18.203182072027268,20.754499586582696,24.075685865210147,23.706781874975412,25.82724265557275,27.139531909816945,31.277886590636516,33.53058505163445,38.11732134613274,37.84800624474241,37.95863515457199,35.90273424508522,31.506825647308972,31.60383945358042,28.173688708458805,28.214599208703536,28.538832540380312,27.298716069404378,29.777513810733723,31.388162581155434,34.09229312639471,33.78648184645114,32.11818710717593,33.601625478774025,34.254043641406064,35.19286127304001,41.68426422181876,37.98477534625633,36.57948572978915,40.916565808318,41.43524593168708,41.60357175075407,41.95023955332499,45.67330365524936,45.45198503983132,43.11527070843609,48.043229212268436,50.36110231318948,51.631327217818,51.32737175913656,45.701577557343356,48.946817330550644,51.02615976075695,47.602045874462874,44.54058052910014,48.08355095474785,49.89893021726456,44.66049862218598,44.10271036449304,41.47654469226125,42.347631241882596,41.30201776050805,38.19821483986989,33.33773744618906,30.431853011098823,26.442475748741163,23.49066906731478,21.79989616987105,21.793352495408723,24.734464312442707,29.068782146151364,29.711599932311948,35.34975998677611,36.620087447265185,39.1177194209523,39.9119895562172,42.45963552677527,42.01065530962875,44.35686797490258,43.87446811501436,44.120710768788015,40.988274256963074,38.25737385486057,38.081021074342615,38.419746532325846,35.89872388873271,37.4762796047332,33.63767935642083,34.36364766624313,30.9262676772662,29.75530742939418,25.983718513278564,24.34411683879478,21.072657907829566,26.565756171456652,26.15836891083543,29.48668317045878,31.48855157658142,34.06097389097565,35.253315454100544,36.69767259115012,41.08283437680305,38.17670642412225,42.235808931436,42.57314857931477,39.57111049260988,37.8797043127181,33.725177274435374,31.747412895074902,27.10141081575229,26.892612984740563,23.359872198798016,23.773543719845062,24.266976808899948,25.23339543377531,25.408803091861557,23.36248794807335,20.512244888068686,19.233192206657037,20.1599912037785,20.88845270257061,21.493562755881612,26.470455362590606,28.621224938116423,31.623108585854713,35.25652710076292,38.527573809657106,40.2719726184409,44.338282255747515,44.11969727710144,43.37789854931343,40.004843597218596,35.519998674985914,35.717023405911284,31.9934610186851,28.93591655043485,29.985586526388133,29.791804801249008,32.913010705090166,30.67796361262687,29.974434743992955,32.507552216162885,30.062206627114108,28.473739717408165,28.015950601645823,29.577254303132346,26.653630416337606,29.913263613541364,27.100176535962905,31.75672432855835,29.28878367799913,28.255653172367698,30.040375915092984,28.042336396471704,31.3857155929469,30.206013898752907,33.47440683438053,33.31875625353066,33.24133624394404,33.197059878405135,36.7943879188662,39.127997882145685,37.616551261961995,41.25323117954476,42.8806382015575,41.8588675690598,37.77200159198027,38.44644617819114,35.3375015521113,37.873956452552086,38.357886163449315,37.83917568926781,38.57113583722453,34.91326194453868,40.37324374505852,40.58977016229109,42.842896149518545,42.5017812067724,40.16817944307724,45.1394904351399,47.60549034358378,44.444875997557425,45.062175643935106,42.120260956771936,46.88769577041441,43.96835653914099,47.49387677573898,48.94400384806535,47.08666621511582,47.73178666856479,46.46870275816383,47.620119219685805,48.8905992460397,44.650203390587436,46.44045518918481,44.748846097712494,42.68061729358923,45.937360417696944,43.44940452097318,39.86897385426915,42.236307847069526,44.29944405847034,39.68297651112359,38.09338184604376,42.20879883851356,42.50944562755048,37.05191360460081,38.89174322484178,41.31653176248984,37.48944543770745,35.44836033288571,39.82648764410707,40.637816293465356,44.780302238903666,46.302340765128776,46.127569430161465,48.817425703867414,53.462260610890986,55.51840462342294,58.477655819172845,59.14686223459157,56.81726560751651,58.454309851619435,55.15045061655756,59.475595987823425,59.33447085137737,53.275735724790785,55.28039040554403,59.388099310620305,55.823135693960445,52.99142023774158,55.65761546533344,56.848786772787804,52.774775637807814,50.20384039589614,47.963606132414576,48.50172751776429,51.49821412832864,50.723972116403246,51.42315567689184,53.564020416675135,49.73166151446,47.40040188636647,49.42048251833897,48.081387015948856,43.66870851526277,44.228507455682234,45.11171911008854,42.31279028963757,40.98449650355137,45.81985034899691,44.883164866787475,40.43530974632638,43.71183911999153,47.61128709728804,47.62298082654957,50.27661582926982,49.13435912682991,53.35385103082406,52.41327789816435,47.220237674774175,50.724096028159835,52.908214059557515,49.985254066840554,48.516973369829856,54.50455542958346,53.8655543982309,48.749399512831914,50.74724268958265,55.705048304530344,54.19287993500863,50.310024168459755,45.70395549114332,49.68956352225175,45.63853298723936,46.119801041509284,40.81488116561758,40.33060545174023,35.66857635142935,35.90386606501753,37.698922887847075,40.9833233390788,40.89415487627134,42.11653174615597,37.241394227788795,39.239677187931356,34.16156661522078,34.11760439012562,36.34023374281214,38.34266755313415,35.83426400915318,32.565958681674566,34.47305223345504,34.410833218515954,29.486974505821763,29.326390436507122,33.05899415354834,32.84310300765659,33.512286243037984,34.92040175075052,35.53200958976102],[29.015562916725383,28.611933473383356,29.90196349532325,24.69309568545928,27.571539950967896,24.944120226766195,23.82317134546921,26.208072057153075,21.961244564860632,20.572193991255077,20.607161458749765,24.50873533778226,24.386385175924893,19.70369233668096,23.208008609015735,26.233706402067725,24.737398612891504,26.99459920818949,27.470900597255,31.702311520524866,33.67354698697873,38.16390658089949,37.52403392462568,37.06552387813348,35.06883310679248,30.81696922744,31.09681066730126,28.009715887156705,28.997347743540022,29.977489931452823,29.750126132692902,32.219005200924315,34.49553077791423,36.99694719589197,36.0585876964987,33.76443739591297,35.18281727800645,34.889189815749916,35.1966033386647,41.61573885004304,37.26375495507909,36.34839307034172,40.690934453392465,40.60071396437381,40.204994878737104,40.10485010818823,43.768645505070644,44.19096365291334,41.780926357794414,46.27537027965326,49.08507124676524,50.585979983542316,50.61776252258575,45.13168391684759,48.75466406584182,51.03636295239874,47.40266934552969,44.747239610566886,48.701067978041806,50.09570621114025,45.0505067255319,45.1521727924024,42.985483560866726,43.446007048095446,41.92017049599821,39.0484702025634,34.196306621257804,31.77696414172471,27.47571260451928,25.32974420515693,23.165248670739967,23.525281427727037,26.948939483896822,30.71167882680201,31.840585256137828,37.72263398550275,38.43199974647189,41.480552385620065,41.81141623087184,43.838113158035995,43.39469876345282,45.22906605902268,44.922468477205115,44.63090923587278,41.083363848257555,38.964885310039925,38.89664528050129,39.9698560752152,37.39463677729403,39.892571200491524,36.098949884349175,37.298364107586856,34.10988376246505,33.19240663973823,29.185264517915403,28.20624090144153,24.611990056031512,29.94366832887868,29.306181043941766,32.85445114276421,34.18950428775562,36.298373449088835,37.0622828952206,38.003819249655244,41.694990683323944,38.50891967786523,42.45937818768124,42.18994374498204,39.07819924959885,38.0060182627551,33.61316828685016,31.581350760047727,27.189462204511095,26.327697241599274,23.27915225836637,22.77617401201104,23.66344249634284,23.654402834176413,24.567896889859984,23.517545548726456,20.173952690058268,19.082394735655534,18.59181701019474,19.66057072005565,20.67618872984575,25.09146817809576,27.86560298320636,30.641657462647558,34.305199347371065,37.87484832537935,38.87250608039602,43.20175351377133,42.67956213501329,42.626137540533335,38.58143677643193,34.19727478673485,33.64898757252941,29.861169131424866,26.545997900027448,28.111550683925756,27.189684472677285,30.6001717814922,29.143382669132066,28.63095084251995,31.628893958422815,29.962850149935957,28.05390675081527,28.315641356993,29.990549077159514,27.508085152396134,30.9935053584177,29.00932796489647,34.02526502527442,32.27477573734981,31.47493264341682,32.73303436178797,30.270010785732044,33.05046442952451,31.724370400852933,34.137015467855434,33.11431372785786,33.39164660014186,32.24314434989573,36.26829927795554,37.795946136012155,35.49030721131333,39.149842499586185,40.21234416053072,39.13678418319796,35.12870035958511,36.27443583384594,33.530658393670365,36.74286160344763,37.833351401213676,37.92081606375949,39.213196386018154,35.986808242230005,41.667509555320514,41.19053655094781,43.342936460103424,42.203376500211114,40.02237594085039,44.523908282515904,46.66508229175603,43.33472373531769,44.13573576153315,41.34745186795048,45.71760624406165,42.1380734662909,45.68568744785714,46.858948359206956,45.34531727293415,45.75421690993007,44.54246161597127,45.79022158348865,46.94340433954959,42.721413004323416,44.820340183092625,43.06540573202961,41.595035707292666,44.861220286059165,42.92625397957622,39.09431284333943,40.91653894422313,43.43845220277487,39.054516849564386,36.568673893922735,40.90942309070866,42.007910383546886,36.19105358615825,37.596260679498045,40.39390583231514,37.00131345369869,34.29019762421531,38.425767433656574,38.854087079322156,43.483146557902636,44.077269639828266,44.37603610534859,47.402147106019626,51.92772951776555,54.37668257058801,57.067207534380586,58.16205665510387,55.836130590218026,57.697810296939195,54.57511781365517,58.663686468623574,58.17976156057983,52.03681728492866,54.22524153135906,57.93077588284143,54.083365429330684,51.38320316335513,54.01230628633251,54.69997245104696,50.55271210204151,48.18782869583313,46.22824906126524,47.45031184363266,50.592450555643374,50.10852783083694,51.30920629410086,53.78809846406976,50.195911072710445,47.344194907588424,49.572157517856624,48.78576830460071,44.15826176972008,44.27220537926415,45.65073566180808,43.064813699971474,41.153916711016194,45.991672096904765,45.4580656659915,40.88313315293818,43.59968708471435,47.57917981492281,47.19815462331029,49.978076399878205,48.83105382500396,52.83074247405045,51.65536436856512,46.27066662366337,49.744865431036146,51.59693579634677,48.51120146410425,46.91792332183003,52.82050806359496,51.8195122819128,46.571478072020405,48.58950472043159,53.42773265797486,51.59994594919451,47.61457541613438,42.967666945594516,46.545568821292605,42.334112564673724,43.293449033385556,38.004811677310755,38.10627025811357,33.70884889143613,33.14056134897716,34.93843319226285,37.92087824819297,38.08167081925472,39.92341626424838,35.36658489838848,37.76118970542877,32.82093546103795,33.19985283678318,36.24653426402291,38.49308350789472,36.59135143381874,32.653973689528364,34.43256014064864,35.15023055570021,30.288668167621008,29.30710302845679,33.33333554458735,33.856957226869135,34.75697398084633,36.28630590647196,36.94043076793567],[26.51121039449869,26.790414767331164,28.928656962728414,24.28790762567922,28.068259990425492,24.549806889981483,24.204012093116166,26.329284724215732,22.0674027618761,21.855337898705223,21.720430165343764,25.06673540421171,26.1491510991765,21.847911072666783,25.302103108212318,28.41368277429955,27.660104441030175,30.375713481652117,31.6327273131072,35.65085606625082,38.0144481632493,42.507776104299055,42.196930709775884,41.9044355922452,39.68231165282043,35.359449890967596,35.22122283393868,31.769709547358577,32.254575370358786,32.542326483142006,32.30226605783207,34.15945251146736,36.191979091197716,39.21721086019357,38.51274734101781,36.73139533743369,37.7144745206024,38.23321559918086,38.75133636516394,45.1948948188967,41.23775080557937,40.467030401777784,44.89692926577133,44.95729760631603,44.86336588491836,44.68547879800792,48.496879689590926,48.72523985595604,46.000338937173,50.61856516105297,53.3915863526828,54.70123538804117,54.78958597861179,49.08778685128992,52.44431019615345,54.93873807539179,51.55646030924084,48.5862383138809,52.40492919984499,54.21096226479579,49.193526483877335,49.04828537112931,46.61712691100533,47.52775297127404,46.143613740670176,42.981239952915224,38.34500139404466,35.49682812216115,31.52735399121075,28.811059262196057,27.062342420591488,27.42700256734776,30.45640292499843,34.619901403899604,35.20421446947901,41.04739821101938,41.894516179897224,44.5369691994311,44.9769727390323,47.21908993906598,46.438202262515006,48.45539871451969,47.66385994875078,47.50771048181909,44.23848062567693,41.89963215919496,42.2236043531312,42.73361136019442,40.63475213318633,42.589288365431955,38.960149109328924,40.076644098141415,36.56909651782625,35.17816915901922,31.10954913233143,29.732260035369368,26.10427429833352,31.15950404027622,30.147080745853817,32.90262966231702,35.2746286634056,36.948612721701465,38.5520855607968,39.120146998784044,43.312767118061764,39.820102945951405,43.52104376071553,43.41329936742302,39.95809762356783,38.774598674331585,34.278629448357464,32.97479926125334,28.395544370539522,28.393826113243524,25.75350321072489,25.915261630028358,27.26977062155626,27.822221157811246,29.10440032447265,27.401535568632426,24.18429537978633,22.492966779653376,22.21713053898787,22.477419168430686,22.53193789793064,27.17312062128571,28.772677669821892,32.165611200939274,35.6762269168153,39.531652222107695,40.51173045360257,44.805845292285085,44.831944686266844,44.65420356432181,40.92408906580094,36.535013570516256,35.76137789544967,32.53488162909505,29.62140133921999,31.45484590830062,31.313707392930326,35.01364320424933,33.39496448516068,32.43283306834071,35.35824733778837,33.2480451323525,31.176126249844238,30.748184920794287,31.86380043551996,28.745892786030467,31.590182291838623,28.986757034439186,33.68714554888651,31.031769341286267,30.85648753256906,32.80000008061497,30.96943584435415,33.815941777941084,33.22527547839874,35.67564892946567,35.47209011297013,36.202110877551846,35.52340096779245,39.56867522513945,41.19062160064126,39.1299396945845,42.43401014766732,43.7351989524819,42.243105894104794,38.29894751828435,39.17991997203777,36.57041584645413,39.68168161049755,40.57705936582907,40.5171336165405,41.35386202483586,38.169909259440836,43.72694335648326,43.7628713119658,45.69877043627452,44.98416630250473,42.1642213255787,46.974155648494225,49.374962042157556,46.23678263837133,47.48627743274141,44.938639220659546,49.507400404733296,46.202035930362214,49.49483586048549,50.51977851702096,48.71065275886045,48.81917571811229,47.274994755834726,48.19729744907009,49.02110685111278,44.540862898106674,46.2094313131325,44.026874592345465,42.33450241864944,45.126586110880325,42.90922875141578,39.28082061229722,40.93874337491159,42.99495040815681,38.43932538746503,36.24387676481866,40.19707727117813,40.77755590100174,34.96864072372167,36.32779411261826,38.7141137000143,35.070977337961764,32.51346371000928,36.52597088483742,37.43474555027931,41.64068656591134,43.09443586449086,43.40571997343095,46.080380592924726,50.893685958640226,52.89345608748968,56.104093931409025,57.196904000025896,55.18917125264452,57.21735898213235,54.31199046367568,58.64804599407066,58.02386164742232,52.07129226944007,54.53005469250129,58.34990289587703,54.50032508760533,52.02031808644232,54.9806857925445,55.60074698607488,51.31940030270499,49.48225861514349,46.93986220196762,48.283366858722104,51.178617432006895,50.15527187039372,51.311259288421674,53.33308629629256,49.93920571752484,47.21519595533116,48.81483966999272,47.90382598450726,43.52608621731751,43.4022092059331,44.25746751395607,41.51012303033255,39.70892641382926,44.34052399081505,43.408653204316145,38.71363700722338,41.60680041839699,45.52686502241367,45.52468579408871,48.55368421581267,47.82449681398943,51.93598208632801,50.43412466608283,45.332224170677684,49.20457830733845,50.91181192623796,47.75897892757932,46.713821787534776,52.637807840028394,51.4323730718507,46.40262734587531,48.87572495814064,53.537027840318316,51.571397452939706,47.71981756938496,42.98806492578258,46.60813920400457,42.31222905745831,42.66724343153527,37.52500176361483,37.565989133878844,32.96775261290162,32.79981571999765,35.02119577803638,38.27768676216755,38.74736564962251,40.249551273071006,35.913155109379986,38.53453078262923,33.70172918659643,33.198224260630944,36.14627879790867,37.88837896364269,35.98841339751107,32.27676133907023,33.38846351636286,33.6993797425097,29.336069645368248,27.96309398124864,31.441139926304288,31.539751531776883,32.40738483907793,33.92077112814743,34.59263595502408],[25.199383081366708,24.978734637806898,26.826010123066407,21.67107091360425,25.573300858592745,23.380568205770256,23.250215274003338,26.270899911112206,22.611076268763707,22.18881033241009,23.00228951194416,26.72477628528771,26.785173027033437,22.568039880873826,26.78540498338774,29.5614907396271,27.906761287530056,30.82764576772489,31.545996023806776,35.46517014760579,37.69309324475377,42.01291286323197,41.51335489220084,40.733400703886744,38.46581621525842,34.33747430036046,34.18147073130764,31.006418363214813,32.240655687978105,32.986756756486734,33.76453682548601,35.44892522180326,38.097157393869566,40.9990973680533,39.68704392231226,37.42066210604847,38.2108707818185,37.99008603483315,37.93844790029731,44.226928840309945,39.81603912933149,39.6025683822551,44.014412627808085,43.527240907277914,43.02350632454541,42.37772464697236,46.15438279811342,46.90765813904232,44.008424891950185,48.206001705695186,51.40728153093067,52.85390817710959,53.29715664312502,47.706778370752524,51.31301562449767,54.06537103751874,50.60070114200576,47.949128182968344,52.10703610141292,53.628803091626075,48.8782008123615,49.33906823751695,47.31491902239312,48.005121339143656,46.1620219910411,43.130250581716496,38.693587145122954,36.18629897889547,32.14071580139224,30.04556641959789,28.063341702975823,28.901580290703446,32.13003958845886,35.81416048882939,36.60203902920997,42.66673156338143,42.89994084996297,45.967024377223815,45.91891560174422,47.65354777847589,46.76907937769989,48.29434199056664,47.55965669220081,46.90088668448445,43.32373014237637,41.563370197763135,42.101088171219835,43.19522749339218,41.20856654389471,43.95289406951682,40.46405239517093,42.09692706335102,38.76814849388612,37.51441644607616,33.208953505866916,32.461431285440135,28.527778676141224,33.321557614722494,32.06278264328656,34.975045920819916,36.70021172222809,37.87170008499376,39.09606396661081,39.13536253325108,42.647116616537915,38.90375392401699,42.43820472477789,41.76701813621756,38.233352942543775,37.64708841427613,32.99420927207649,31.70708381278081,27.46446700500847,26.941039354742387,24.915411363534925,24.357175532766668,26.169719050807437,25.980635388241655,28.1048621439372,27.128197178110177,23.615612982213182,21.96403791188593,20.44705199936389,20.77738253292576,21.028418310307437,24.98629849340072,27.007121417174115,30.153947033235777,33.61280790754845,37.71463557651145,37.97919772868536,42.46489552890307,42.26627121150069,42.71881668858624,38.44809102192383,34.22056359817074,32.72978336254465,29.598531023169503,26.605721607271953,28.942708026674275,28.37882529392151,32.36864254141209,31.455379712608252,30.532989488950737,33.80822126025113,32.36199097540279,29.990706959359784,30.110736846198343,31.22215674383834,28.533448741855278,31.49162753927141,29.731087998028094,34.69133422166917,32.84284126250532,32.83829656258433,34.21665255600927,31.979582999717074,34.23816312698868,33.569591619092435,35.15990082774009,34.23847754643681,35.380055683611744,33.767760971939765,38.153421347950335,39.00533218301796,36.30267175291599,39.48591125245254,40.31644351652656,38.69566957204811,34.89084203309813,36.13211903728939,33.933624816075024,37.60393936392266,39.02216369667687,39.515879595334546,40.80618141718749,38.092274643888075,43.77759551376132,43.21883929477493,44.995434065035326,43.5944395553685,40.8486987246407,45.20036929135744,47.31268253132241,44.083420649449394,45.59228355471745,43.287904803260005,47.481454100735874,43.678632155085275,46.872891618374325,47.591058065971545,46.04178203921584,45.86597980288261,44.32179993527604,45.272433758684706,45.94076672126537,41.49230716000024,43.392804113327706,41.15257234319372,40.02198914767545,42.79395021481048,41.116729412330265,37.290238512511145,38.42739889000175,40.907848191572256,36.628353164353406,33.60975558586671,37.75571448410491,39.11613884016627,33.042222283751876,33.99030233877267,36.75235551045847,33.59339715630592,30.42618125114841,34.19739232804384,34.67136706293028,39.34775800375807,39.84388470993936,40.56128693820411,43.56316550455927,48.20385756176908,50.6046600717652,53.49059693819347,54.949635427153204,52.921916941093976,55.12769780963385,52.389677898756354,56.47412742705599,55.55050784460388,49.54583116960174,52.147460013861405,55.58276454161231,51.50087690007436,49.14912970074013,52.06270601551975,52.231343253899055,47.90747415221394,46.27606556465659,43.989056970967454,45.94799370272169,48.95200139860459,48.2113468562194,49.825594716556566,52.16992323024567,49.016255775569356,45.82076195581222,47.63738132199414,47.26315914045853,42.70653452931785,42.18287111745341,43.54756066752124,41.05143560586667,38.709934185622174,43.32214703764605,42.838396036359754,38.10091656531741,40.409333144896465,44.376827832568715,43.951070649988814,47.03438978248964,46.25642742142724,50.125668587883105,48.45857474666336,43.18631132151159,46.966551670162154,48.37775722317807,45.10606202474431,43.91133439553812,49.72330065335389,48.22449385243846,43.08857197170649,45.54178866960418,50.08554139906709,47.868873554558256,43.938325818309046,39.1999082131615,42.46259417381249,38.05713234163591,38.867456055991056,33.7440896471791,34.300447810767196,30.002263522742165,29.079369485871627,31.260393092764723,34.21989135219431,34.89926021174893,36.943135946767484,32.94190885052546,35.9019356037741,31.272792102439013,31.16398617762253,34.845495990129244,36.81524639975292,35.52069121315945,31.22547342054492,32.23918247346336,33.32842065633095,29.065819946244535,26.976545575850782,30.732521008541326,31.609359311423578,32.69239426920381,34.30726460134377,35.023647595445965],[23.546791567114894,23.839882778377575,26.5272658542996,21.889529605299167,26.830132854149223,24.921830960477948,25.824519725170223,29.1059869493183,25.999937097807152,26.475251867082584,27.62408556034833,31.003081605216035,31.46651283967475,27.661684061710375,32.10350998259345,34.75066064125231,33.1898815395451,36.46014175044827,37.36800099477341,41.09713944958506,43.460414352969636,47.67297854504212,47.24702373825514,46.29334936969972,43.90693291860681,39.88304711843742,39.48123605396229,36.27063226525469,37.55720534542968,38.05394980062929,39.302911921757165,40.467177476682814,43.21301612733456,46.414579955186205,44.98615419510188,42.85060562092778,43.22431822473759,43.1830493515664,42.95136129237435,49.10064866464171,44.72729918043864,44.94521207843098,49.36834481267233,48.65014035255361,48.07451457253044,47.07324125578501,50.878312912938355,51.866765288275495,48.66776327968585,52.609298470007836,56.06743435926994,57.46451670610356,58.1875553712096,52.55627106896255,56.10812191934433,59.165427784980864,55.838410646990674,53.1816098020486,57.425802314422256,59.05014899579582,54.48484404651644,55.10901596946803,53.12773761130237,53.96533868735098,51.9937486698374,48.87374781571352,44.658236576074714,42.08234291810056,38.184873867402814,36.04551399993979,34.180725667967856,35.12712720077746,38.26516297474618,41.978311668571415,42.58066816505737,48.691096874079975,48.763145363947054,51.76096927236834,51.56070116447342,53.1774651086649,52.00531968406341,53.372208560408765,52.30412493960605,51.436858639867914,47.91719498272596,46.36800194468742,47.316039523861676,48.320548271606334,46.73998527234668,49.48973780299645,46.18367753789074,47.96438700890762,44.51867981888461,43.02322449523223,38.60740912567045,37.84595945065243,33.80861428293905,38.24599896608355,36.59437657747016,38.87328187861045,41.10137955829479,41.57466207921585,43.28882246548031,42.647834954067434,46.09523852236022,41.93681992313919,45.03047996818748,44.08085640865681,40.18824072277975,39.994236741621634,35.221575885892314,34.72066816221782,30.680940601715804,30.586845705575293,29.360062999943633,28.88337284928854,31.235303337285668,30.984384210015573,33.72659681446169,32.76091683545362,29.234141834656157,27.297238542276915,25.324193279266243,25.119795514357666,24.713993637409207,28.18689620902169,29.299050157362895,32.75988924766529,35.91465657130513,40.409114556651126,40.0458910883344,44.57165614203649,44.74114326165337,45.58934401382889,41.25857780357627,37.254049317155946,34.977590213194816,32.570887037726656,29.98013357340078,32.843141664976386,32.5708639177928,36.86655528424529,36.3384474055269,35.158572987754106,38.54659733692611,37.21340349832678,34.58528545955307,34.50896088456471,35.12904017634146,32.2369020427522,34.59270577517136,32.861065044219046,37.559284989619755,35.38014494744773,36.111663925899556,37.75640397897044,35.888177034187564,37.788631237412766,37.735552903164006,38.76890733568947,38.09596676036747,39.86480343271305,38.036809993954186,42.594841651528874,42.96853375838026,40.02137047946579,42.749038362237386,43.369919167901244,41.29297345036096,37.760090363628024,39.04176224375682,37.35195175736894,41.288596321246054,42.897671591758034,43.645639854282514,44.83476266059465,42.49816010701241,48.092821158684295,47.58708788283279,49.052632621866685,47.55443719714685,44.33570097127158,48.56012222903636,50.657754173300376,47.572931984579355,49.64313061585892,47.7297219101475,51.76789553987043,47.84740974464599,50.730687990884,51.069355979518264,49.50136528103396,48.824270591855274,46.99242818523933,47.63593283858043,47.81675567386038,43.20430018254589,44.819649673687984,42.08263703138964,41.257595257149035,43.39568864941119,41.92850896137895,38.24464131940469,38.64204251291228,40.90670306182527,36.78156788040183,33.37203340207812,37.09213235251591,38.54629164898297,32.35492141915754,32.744797986387866,35.26006077552198,32.35545523060775,28.805988260121286,31.97213033041749,32.656093946324575,37.1580744937617,37.78377148494638,39.0104945610092,41.82946625724492,46.62196953846289,48.801147808074774,52.03039727291544,53.87815712417916,52.27975968928273,54.85996691648363,52.5951810949404,56.690869004710635,55.300258711595035,49.558111729861146,52.599949597141,55.74741192010965,51.47406987716615,49.55765982645971,52.77601770625501,52.39959283803295,47.92827106085068,47.167373895046616,44.49157602135788,47.15809242467231,49.932745780681664,48.83240381614403,50.79720602157443,52.8593339689499,50.19955952390688,46.781848612070625,48.00839855050442,47.979633012021175,43.64116570808167,42.465909479041095,43.6211206134323,41.19965587343878,38.53279821801946,42.75575847267409,42.18399232043605,37.32882998123561,39.23053192471122,43.09283482717501,42.76378426524508,46.205175217587644,45.950744762114844,49.665170454506956,47.40639768643349,42.42342330068409,46.57678342972431,47.4577812685836,44.01070059020542,43.414982124734735,49.04270504429217,46.955145879090395,42.07902461114681,45.07751158728772,49.18715329693292,46.514750161406646,42.73440639776075,37.95824921142833,40.761031250938906,36.163206848026554,36.65009981273852,31.897987926220427,33.01177695217226,28.916033227681524,27.67371370316645,30.35350564533425,33.23771786671095,34.574627776223316,36.736674221752686,33.48804578691803,36.971126769756275,32.79740026130498,32.030102342241825,36.15685988153678,37.680018020509195,36.9531466621973,32.54521661471303,32.614424044416026,33.88171102805899,30.461627651453,27.318974541129865,30.458868029545854,31.47770817232386,32.68270473726898,34.28973856398614,35.00260480400779],[21.416474119286036,20.98892320103898,22.960415446687836,17.86157251658134,22.41884992329587,21.29821371981849,22.04063097974755,25.733778725513442,23.034343856108965,23.271995774637446,24.970481966182334,28.496089565532777,28.28171575623005,24.709693495553154,29.51356942181782,31.853710695070337,29.853936755122707,33.30233428647087,34.13315726785322,37.60867933329568,40.04112880439075,44.072974065560494,43.74307207276573,42.61119006689786,40.0634200589799,36.177479718621484,35.55844230926213,32.44114050982367,34.01615318868191,34.6580090601112,36.604735058843005,37.51643762604384,40.640545319085234,43.77754359911502,41.94976605052035,39.609829442206035,39.763092157222445,39.41289247157845,38.90341907858836,44.896773664319916,40.457817968671904,41.03313681205202,45.42951615708226,44.485689488481974,43.875889712846075,42.64447866923469,46.48666982309762,47.57159122392366,44.18213896924746,47.9825960823373,51.56118812182354,52.933677685206284,53.83325492421967,48.219013685810125,51.786902614192556,55.020266590411325,51.77082752228494,49.20021966610587,53.56412865646476,55.16050258275073,50.82100590173684,51.75545992053991,49.98630331001875,50.88405449927766,48.64491443039163,45.49895879285364,41.62254122778602,39.12820056486013,35.430543244875835,33.56827973559872,31.777640300334053,33.20743410961155,36.18369259929295,39.611498310569075,40.05847778335962,46.27494126389969,45.84939138996347,49.003898307519236,48.44449432093003,49.736714962204196,48.41266454748778,49.496727726101724,48.3912644354671,47.276305573770124,43.66733593559047,42.41509042309689,43.556854443064985,44.8018236457968,43.432723986360564,46.58891579876462,43.49028858341928,45.68314428661271,42.33424679427364,40.85272850732318,36.30176578689595,36.02163135676291,31.809035516524446,35.91605463361583,34.11619269856432,36.533460854949446,38.20890700169582,38.41269617625187,39.80926528976935,38.92432737646679,41.95451314050813,37.761361920661784,40.81598450393416,39.63930640391874,35.82498570171089,35.86300981025959,31.093769347063535,30.460762916366743,26.661535917417194,26.2698100940565,25.418372021764167,24.667699699637847,27.302869138701514,26.86045333056958,30.17490783831249,29.38803107306286,25.84655819729089,23.808964967131796,21.274267267853922,20.923399864915673,20.548592771054413,23.594218805961344,24.99051086019007,28.210596112653402,31.348316436230068,35.847217632940335,35.27822997916149,39.84839024222948,39.87101183736877,40.91085980466788,36.40855283708596,32.481259323060534,30.034833493773192,27.647075440871927,25.101906263814268,28.130419192094866,27.937518144314872,32.37112700619711,32.0638655600115,30.7647462450209,34.232093612013465,33.1622342683784,30.398845928804025,30.531179670596917,31.12028825897573,28.54356643670584,31.000722367259865,29.857733378815333,34.70303696267733,33.272121616358035,33.89235863417201,35.02727961288625,32.85659877536806,34.38653171155684,34.22451452751322,34.78341006204382,33.748044426848274,35.72202845622569,33.534525472023304,38.186389799651494,38.247713169375324,35.16162595542629,37.78058411126841,38.33798321117793,36.208236481772374,32.71261524218376,34.044150734014885,32.488595925084304,36.57127544812635,38.36093826691692,39.344008006414434,40.73191215028437,38.67316525691228,44.26835111437918,43.46832940143461,44.833270728441,43.04665384028929,39.886275451407215,43.89025559555811,45.87257535831177,42.77749212452997,44.96671804193352,43.21297445443974,47.10985553476583,43.11828558831496,45.884975475173846,46.11412339928519,44.57594696991186,43.81112434156345,41.984118521825955,42.65375487977602,42.85638559553005,38.296475378852634,40.05556340368311,37.44755680706218,36.790121329828736,39.125345454184625,37.88158619973743,34.063747284323576,34.460314397198786,37.039309567078575,33.044817973990476,29.357835153810175,33.365293302746096,35.241111095609654,29.0074566426966,29.433673313966352,32.31522852065021,29.63173160313905,25.940996933591336,29.292149377364453,29.55009770682399,34.42886157723015,34.40701544294485,35.531824164060055,38.63454342272806,43.21604928034783,45.75823405924554,48.579639915481536,50.40093212663305,48.56607689988806,51.04874088041922,48.66584717830447,52.606719382652116,51.27602622420131,45.406286886341604,48.32494684497615,51.39839765460655,47.11286172757401,45.08235188075938,48.16461365543582,47.813355360402205,43.38792888283623,42.40061880039262,39.96031814050873,42.65583946182968,45.5467409267017,44.732859695259506,46.8063724052333,49.16260179955233,46.46664886373594,42.87330637153757,44.473437303012695,44.63896470935519,40.12810303403959,38.98916634672965,40.576373049220194,38.320248704733686,35.4697641343516,39.842367655002946,39.64669493789841,34.88954238694959,36.581087409329584,40.50304492510532,39.82693568590287,43.072495812839605,42.50964006436853,46.13223140864648,44.103839715162486,38.88739459872491,42.77520502171284,43.760432752191676,40.356379115133755,39.377160727072976,45.02411157765683,43.109385738161,38.0552712249961,40.776179948352755,45.03957559601643,42.50876285828801,38.62076122130269,33.86399247141574,36.80230201544152,32.28092695277361,33.12535097801049,28.15457879626431,29.187168548436162,25.171177521904518,23.715448317314955,26.1116407450503,28.919851693877757,30.033276621424466,32.353410304385335,28.981606009368857,32.429204068845685,28.262094608462597,27.925649595353708,32.27910326854903,34.09607583690944,33.560866503833786,28.88080828803321,29.265628977410316,30.97958940596495,27.350804481228483,24.216256985429318,27.791040205328652,29.313246291339773,30.614330406350838,32.29602878109102,33.07412922461366],[23.996359902552893,23.456953245923575,25.348954502985826,20.32387457663084,24.826148032824435,24.704428495091168,25.589699876162193,29.562547732999864,27.18451243930166,27.24066248742247,29.145661136371032,32.77135598072613,32.138589402602285,28.57829062365067,33.450871825034675,35.6838954582412,33.29600359475905,36.583668448874846,36.91556572315609,40.40084229390438,42.549475293936474,46.46031952883526,45.86308805674871,44.43516390789484,42.060799179575824,38.383743392130846,37.97497440308454,35.19596696197317,37.19450755394651,38.17225231496915,40.332014861182564,41.372258046439974,44.64960693107097,47.60494847035946,45.60424336845299,43.01048726217007,43.23132161519113,42.38891475969444,41.57338073305101,47.386617803252115,42.640216848402595,43.42823894849566,47.708705834164476,46.43313491075856,45.44119804287743,43.96281849525294,47.63588887271146,49.15824508402222,45.85445819624849,49.24740519963991,53.09404774048358,54.61674414070244,55.70205680828148,50.30596117549397,54.06287830458351,57.31840029769264,53.95472891684107,51.69537306646824,56.21494927635743,57.49845840995431,53.298392489588885,54.54132415262919,53.01964473453104,53.616265236102805,51.207618186961554,48.291212092401736,44.39257406654487,42.22879675220268,38.39310873385414,36.92545465352545,34.922256492780704,36.29517933768055,39.49590393389702,42.64039622034759,43.414246988415435,49.6090280694519,49.058555677741154,52.4400243450629,51.75020395479705,52.81225057510033,51.58322150428402,52.415346040063355,51.47613318743858,50.10973182546521,46.32441742239584,45.42607635034495,46.52647104707558,48.13719944490379,46.663299772344565,50.17029410768724,47.054873612054536,49.31082427422775,46.12031083517205,44.82507581031612,40.29967692212241,40.16212816655613,35.96808314754449,40.10040307623629,38.341953090573774,40.86265320086522,42.2503211287082,42.33886065129369,43.49037597360795,42.4301278032172,45.02127902037432,40.77939701488812,43.66779977555828,42.12808071234474,38.337741170481344,38.79503951096259,34.05752320510037,33.456637675121236,29.997808754241476,29.253250326688793,28.690033783525305,27.46713812598491,30.10459325044673,29.09106532558693,32.54512869435944,32.34957793869598,28.761694629120576,27.022448348706902,23.990131185503973,23.90188225727734,23.80909532650404,26.220166526279282,27.8770209283925,30.7762496712137,33.75504781002955,38.30210124288473,37.173015469215876,41.790150341803866,41.613983855763216,43.14260761050268,38.300629712155214,34.61792229213985,31.645142402181552,29.40695182252257,26.85280212581714,30.111804342458072,29.358278322353453,33.75706408417169,34.02470768208936,32.95417362900815,36.55904930950575,35.9968426558322,33.19972426928613,33.74565866979871,34.404353227965785,32.16578064697613,34.64510051324769,33.89667015684456,38.74280646233951,37.581115788871884,38.257433713319855,39.198412988800726,36.89083367848276,38.177021067588775,37.91605327374688,38.077378196891935,36.57968066617351,38.648611073306185,35.88063402278699,40.62544554959052,40.158584199648836,36.58544093523404,39.11233500603165,39.162619045587164,37.0269553889533,33.76771958744319,35.44556215528857,34.27659970575453,38.692984602515615,40.828040462927575,42.14630316573695,43.823985289797335,42.01317090588827,47.6028033546274,46.44639321966966,47.748321870723544,45.52198210022026,42.55616614886484,46.14573708876835,47.85367394528942,44.717141167045455,46.96541351882396,45.337509882099155,48.863878271591744,44.48494724615381,47.21179080040941,47.217264837417055,45.99626151508346,45.0501654896047,43.29832458494401,44.00511742208406,44.06380703086944,39.631847904553766,41.5520751671514,38.90703959358706,38.77520549987203,40.957124259501214,40.177966367531965,36.3358782954215,36.197636074980366,38.99751829500461,35.3387545988196,31.059856698452343,34.992302007847684,37.411424209258314,31.152521072029135,31.09862771541108,34.088393548163054,31.892853361513982,27.802120000224487,30.625075424739116,30.59786212151911,35.65303209466093,34.86679377811232,36.51018079907115,39.75569490548169,44.16425662840576,46.906413234131634,49.55256142303147,51.74623791035135,50.03157408547337,52.7012629814795,50.56940945268244,54.27189671278269,52.632630912123055,46.86208191876327,49.92681149888322,52.590663734090654,48.13153163838653,46.320821694131105,49.35477424730058,48.510453780410536,44.08672751607793,43.44129146187623,41.236195157018976,44.48883509656588,47.38943991938129,46.75427251761445,49.167598343409495,51.658540136915235,49.22407799199554,45.36140598765719,46.97551619578769,47.520732746909715,43.021372217369894,41.5512632537713,43.36422548927439,41.30371722594679,38.14419915334716,42.31504941949082,42.35065987356806,37.63712056005599,38.84284263647149,42.68050861588644,41.78162655166596,45.10542998850606,44.652149023460424,48.01154070329944,45.74472384688852,40.580618744739915,44.41597150925387,45.02068336964422,41.532702916955316,40.603023312289984,46.00882033745359,43.70493548043671,38.716499127032684,41.50091303834177,45.47555577545732,42.609127772284964,38.74629325280408,34.070184357576174,36.40222798450746,31.765753968341365,32.99340076444536,28.319420376961286,30.04326695711077,26.526384039399776,24.273616472969216,26.682507131192445,29.031083370385165,30.519535064065074,33.35789927882847,30.557937535026042,34.25593479397055,30.457543397973687,30.362194130402113,35.12196765878302,36.96608605074404,36.86180975935141,31.987224001324968,32.15017843120104,34.26487628919332,30.929460436674727,27.385404575767815,30.82425836988951,32.688415917593396,34.055912900587344,35.70308245943956,36.426408286657725],[21.64411507183548,20.91942449086287,22.753716733876136,18.062635583991433,22.7682604978748,23.343321735323844,24.738914998408564,28.929545828433767,27.202830617414726,27.674971875999614,29.989953505124877,33.383686599887604,32.68080395412362,29.606301306705348,34.684563331191164,36.63695479808062,34.186128604102066,37.77766262688419,38.32179995628497,41.45890395629492,43.79576777506312,47.49854867576192,47.10772449498085,45.5511209796162,42.967120008157586,39.45406197943093,38.67911004224933,35.901149707524475,37.9609371827764,38.76493655270212,41.57374735766737,42.08054820048936,45.580314098618196,48.696896436130636,46.42832697462434,43.886675926040404,43.67130871325682,42.88453328921696,41.858525219318444,47.4243308721126,42.81941046403786,44.0776971822672,48.32081151482707,46.84369154787919,45.90802516086289,44.10900026798888,47.8241161586375,49.43028696740267,45.796378406057535,48.97077751434172,52.966754470125835,54.37638120767478,55.721523223102324,50.30823116298643,53.940200932753136,57.497822022625726,54.353966069033675,52.08526412952546,56.657142228186665,58.07468017773865,54.15494905664205,55.61799383104234,54.208649419315165,55.0296572945158,52.42763262090092,49.3938461533058,45.9165884080957,43.68595138520369,40.16330955714734,38.73767524423165,36.942869719560754,38.6716215373941,41.61610143115642,44.66000458392905,45.11112756637456,51.35838111902834,50.41595049413845,53.76157472500223,52.774156505227175,53.59375878273474,52.057341681552074,52.64753729879461,51.422903156974584,49.81087231131578,46.10572220065474,45.478695812991,46.984954690994186,48.58073002988558,47.561612291156884,51.2074849443597,48.38085570899078,50.96251273923525,47.74198973165201,46.265800343454025,41.630384916142134,41.74717367548477,37.43432832550829,41.08474342489933,39.013655912819026,41.17179993278159,42.54992724675411,42.03700721824132,43.32614140163098,41.70543923035001,44.00637446700488,39.54378027491161,42.07239581315537,40.264388490063936,36.345298180403226,37.17026762292459,32.46890474486475,32.33703939649997,29.242207536684933,28.681761406274685,28.856075388714878,27.670596407973083,30.742286118381635,29.75859876683415,33.840936508784985,33.589836229257656,30.094786378993504,28.09643484653542,24.711848072307042,24.132273754937746,23.582437937291495,25.356265183797767,26.445017778996352,29.328998635269077,32.00215774672786,36.71191131451936,35.10117476996428,39.67816894685362,39.7128460282477,41.54353685192643,36.700792199203335,33.28103675174055,29.784563655695244,28.165773124096795,26.06116186081766,29.636440312808766,29.327942910701903,33.9127624768771,34.43253977278544,33.06759253820084,36.67082411954195,36.24175136624975,33.264740279760005,33.70306184261513,33.98051853730146,31.818541327575687,33.892846563259816,33.51025467731338,38.163138797289896,37.27930064790756,38.307008335866094,39.09395499522131,36.895434037736095,37.72682080463937,37.81798177963444,37.37047552416697,35.93047635178299,38.50018026271659,35.54605979971368,40.34547866202748,39.46100705626194,35.815094354016985,37.88080853203742,37.8538982213259,35.366216588343995,32.37437042998056,33.9919345717854,33.248754175600276,37.774381088848486,40.047612631413244,41.60326440545991,43.25103533401596,41.860468436578515,47.30384702949433,46.08094808069707,47.09222405724141,44.73507753948998,41.480702711880255,44.85288914872375,46.50493576179126,43.52638985744658,46.2209666615748,44.980884296659426,48.34262305033603,44.005565366926675,46.37862041808193,46.07631495398261,44.79545298278678,43.466247731163236,41.509570983712315,41.98077960826308,41.71224707318308,37.24276658081032,38.98748831459556,36.1132055148236,36.25520319190828,38.098511626973405,37.58791947677443,33.833441304568716,33.21977191542451,36.01944429417924,32.61062532085776,27.997272243482428,31.750893880918053,34.46308221862944,28.242476777992184,27.84239841432302,30.868380995410835,29.05181877019101,24.718184278940022,27.194328116344252,26.98994953533709,32.11948626530061,30.97918121158301,32.84600101657941,36.12523079615542,40.45014817576123,43.27041513569577,45.837937009127685,48.22026480302511,46.62987952859039,49.44042664201844,47.54066557814049,51.1359297370014,49.272929851550344,43.63290339737463,46.871366032329306,49.31790543440522,44.773135541305145,43.18241207950608,46.3167008248443,45.18390024667052,40.72834517022019,40.52267547172163,38.1890343158886,41.85249514097752,44.627509603496534,43.92262550145627,46.584006523138015,49.042382782358864,46.915625688930646,42.864311174556406,44.31596068818408,45.18281640227728,40.77718197028108,38.95067406034457,40.88217200614365,39.01068675668868,35.59040120158718,39.54606245165513,39.78118231296372,35.15435240241838,35.93765807461949,39.69100358890454,38.62694632483836,41.99405907785025,41.66639936590081,44.83946912929432,42.38583555645289,37.31048843066452,41.16391711685285,41.50906051014901,37.97729108435619,37.197820708819044,42.45333846485825,39.92777197504876,35.03601579757648,37.97802801264765,41.75208407884022,38.727007787656504,34.921660220230365,30.26933039840747,32.41071908910344,27.74123632321606,28.948434646946488,24.410662437372494,26.41974512892636,23.18714593846,20.60442158170889,23.12120833723451,25.342783905019466,27.11625327794877,30.051416418369534,27.740201036898178,31.679646229399047,28.28937534790686,28.001703304543653,33.056417124804106,34.752743955995385,35.131006889584974,30.14574877792514,29.903633837415793,32.36512097330076,29.52280217005583,25.46399642704868,28.675923381628085,30.917835893388293,32.39282323255801,34.04341160273826,34.79119095104957],[21.0670533353934,19.62153092051181,20.50424230623388,15.380802031245437,19.301823886970716,20.686243172601152,21.71466480552696,26.115920396411983,24.72885011774496,24.853721192998474,27.5046766231917,30.952652806360575,29.649879025430966,26.826005303800542,32.00736223367467,33.676166510391454,30.903125497398126,34.51874553239606,34.97009821141168,37.85899345827955,40.21071677355329,43.73511492279532,43.430579030896325,41.77121473172136,39.08512478468878,35.72162290838459,34.79154112229556,32.145053298916196,34.41162672941983,35.35816795748449,38.62346232288223,38.99042737560496,42.720110062207866,45.69931946450302,43.163982924822605,40.47525852631902,40.13962036847768,39.078874898016316,37.85390300673151,43.256330803133004,38.630926647633395,40.12584462512283,44.30662761732762,42.69139933362949,41.75736387785322,39.82601255785127,43.56068765490114,45.18774791750398,41.44622078980278,44.5406900045517,48.577972539273304,49.96663187878695,51.399311941377555,46.02327056162599,49.655009433231065,53.2973112939973,50.21595837062078,48.022008269199475,52.648725630394395,54.03158978403297,50.28617906807861,51.95339684945039,50.71168782469641,51.56435488032336,48.79541721608375,45.77300441179853,42.588134521041745,40.455907500794225,37.14531000136476,35.97011548070739,34.269080645992716,36.328023526099294,39.083816138952564,41.8553211894224,42.188268356003206,48.42579278133216,47.127591090264154,50.56366139494512,49.32756372297984,49.90249360840371,48.299352545878904,48.684387267952204,47.49137565886651,45.71254977819695,41.949816157482736,41.54579119937379,43.140473744110395,44.92854589727009,44.03570931303621,47.95827633347445,45.30402871635578,48.15096527365053,45.06181810174399,43.649264907998216,39.004930410446875,39.488185400571126,35.152621612897455,38.517325622995244,36.42994661782631,38.75686765119723,39.59456410050436,38.99003832464972,39.91508058500923,38.22759050224058,40.159494419069745,35.78098103715875,38.34436221995669,36.39702281316487,32.64534706544721,33.6004806636335,28.97609658947086,28.578130340003472,25.748064629642244,24.83420073297419,25.275515416999397,23.833264967243487,27.031956927493994,25.890067530505704,30.340959348078215,30.248887296140254,26.848704156373824,24.866749691612,21.115289023497567,20.47210433334098,20.063686154463866,21.34215047717197,22.85897326122534,25.38165522469727,28.063214411494048,32.67255317922292,30.98918125702331,35.595202471934826,35.41447797331358,37.34105547583503,32.35818229043265,28.989409994754986,25.45903155485235,23.74490558433081,21.652623806899534,25.3002605216514,25.03464979527054,29.66850404936313,30.340773464682165,28.914311978119166,32.527538809154194,32.33225647058376,29.316042290231984,29.973861370052408,30.29123846673754,28.499479938751012,30.717516456519675,30.847941157844414,35.576323012753036,35.35621545262704,36.14524718888622,36.471929715250425,34.007210860984124,34.57185433276479,34.46619307474271,33.697651572555976,31.898894876087343,34.528199868808926,31.305010208009985,36.11972449752025,35.03146256484271,31.308859636827382,33.339711063052555,33.29549148490482,30.832223668998843,27.822192989446258,29.485236538328678,28.79710127979158,33.401414716736326,35.79854413302711,37.51202635613976,39.33843118356151,38.14026646223597,43.54458166547843,42.07336461164271,43.04437060079605,40.46999687285734,37.37040043306999,40.5541062639403,42.104793453398884,39.09540605303327,41.78926259297095,40.62924289949878,43.88587028438312,39.53181398885477,41.843078905240255,41.516730793224916,40.25630360067329,38.94470904512452,37.04557831781016,37.605289187638654,37.46467402393455,33.0707147873699,35.01970315264476,32.38263327846318,32.61276322155239,34.78682560073608,34.42785656897311,30.537682843386705,30.1028782900151,33.23372254669853,29.927431303397075,25.189121837908008,29.299983859364396,32.332165391881105,26.183521198093896,25.97882102811402,29.353881185943234,27.672636428390465,23.422144509280265,26.199434255868468,25.56778452529381,30.99735373524807,29.294022751534158,30.879549889269974,34.431501277488536,38.510418531439434,41.67415288246924,43.797391416489525,46.02401965350961,44.11813956320806,46.731820331065215,44.60544447139195,48.06679633237649,46.39116655349635,40.57304115448163,43.58375225661793,46.05360016639701,41.550124285721346,39.73696671631821,42.67620429310728,41.71844432159027,37.33654853638595,36.68740033747254,34.665103663368455,38.17654438503486,41.10744076414714,40.741667973051484,43.39695278333342,46.15959207387344,43.887959404593374,39.76385562700726,41.669807025401404,42.59854962256833,38.02808192084195,36.408373334557936,38.73310481925036,36.99154855258924,33.543894308193586,37.68784035206744,38.23917095514026,33.77402241145984,34.50250417952315,38.29551952792852,36.94129092892452,40.020262148064646,39.29437608225398,42.42327989558821,40.34346633652007,35.01801066873234,38.52069054418262,39.11159554355641,35.68450896043473,34.395670475362685,39.714363883475166,37.52880414780722,32.409878892514826,34.93559420867862,38.98325318358875,36.23195060533412,32.28535972805938,27.66410742467304,30.093716608524836,25.576614724204077,27.217022819050353,22.372484758468026,24.10227580099621,20.932044902533953,18.235182001566812,20.270287105411988,22.428100798831736,23.778478965210716,26.85377825275222,24.235437105648987,28.012821221145188,24.555715519548503,24.85328321094706,29.974014825114885,32.01523455890159,32.43040480817031,27.302650340347977,27.5552849541322,30.31790051406117,27.17702667937552,23.44718667389593,27.09274393097432,29.65557051942367,31.149842436378034,32.830492420551494,33.62666696056519],[22.333466708780257,21.095416633811976,22.06978316332069,16.57516862107013,20.300094858770485,20.693563439411033,21.129773900221576,25.2878474667707,23.169731562657944,22.870153659388983,25.132663933338264,28.833593115218026,27.621401998511303,24.29280346997451,29.334234929866035,31.29143687707987,28.61437543793892,32.0101027779669,32.37754359283072,35.61401331472359,37.87751590984072,41.64870233033946,41.22102801273703,39.75360084180097,37.19811091155434,33.59444251608893,32.95233617295135,30.195946560032077,32.328463146752426,33.383755957359014,36.02445595000752,36.87190736165998,40.39129753257483,43.262478354899635,40.99192069792259,38.28645563176898,38.35301680864004,37.33726268381685,36.38434882284742,42.10331871023031,37.396029087667685,38.384503135832524,42.6556793904649,41.31574364780987,40.430380002052914,38.87534347013728,42.63373115566867,44.058545166034826,40.601754593933975,44.039572895100505,47.863981282657186,49.32762613205523,50.45734721879942,45.02215741345003,48.73924720712335,52.09395842905752,48.822774548934504,46.549151733101745,51.102238683671544,52.44193773859697,48.38054596934334,49.77416323067693,48.3654611229921,49.087937184853885,46.52424206777331,43.53829251482359,39.95370453221369,37.79229058392199,34.20568453308286,32.90507813889694,31.04977017977273,32.84639456300857,35.79213220308097,38.724302788883485,39.27224623098539,45.50503608833779,44.572317423113745,48.010999367612406,47.06730878900154,47.921272007989664,46.58409764283085,47.25859604949248,46.30286602444309,44.81204874791767,41.003200884817495,40.24350413326451,41.45945743811062,43.19071012452233,41.882113275426555,45.624635782188044,42.697340862043035,45.258734046631645,42.1553047521256,40.868615211900526,36.292241455168664,36.54390333091562,32.28003212023152,36.09898409164832,34.29140212382826,36.981219413728,37.85003543973644,37.860286230530335,38.68618988551567,37.59506743311883,39.919421750365764,35.77262722282203,38.75342893282617,37.171302926343124,33.5478198399854,34.01767557365727,29.339395143918885,28.428926179945595,25.12116002825953,24.073798435225875,23.676449065562046,22.277874115797164,25.07778106006212,24.03438762741413,27.899947141166226,27.717254021650433,24.191023997909607,22.359799838747026,18.98880433343856,18.78695831753255,18.811256062420007,20.956906395783392,23.052312988702276,25.678367941218525,28.735319581712357,33.16453523808183,32.13922529364062,36.77070915144273,36.42445092796249,37.90504659368394,33.009852811499506,29.288507699694865,26.467023992487036,24.030445948858688,21.432277490676153,24.69986095317258,24.123083380755972,28.620192746946497,28.875878525567746,27.671774601108265,31.281339772713604,30.822362447751704,27.970047152740023,28.65103821691112,29.352035224201195,27.4061375312904,30.06274398030522,29.76289245354208,34.715981842074925,34.213176747428975,34.62665738068414,35.109134384376574,32.53001672319057,33.59464887310699,33.14107989287124,33.069065085135776,31.304968332172344,33.41082477083317,30.502645419119784,35.26472136697415,34.74056890540724,31.217880215748302,33.763418065066745,33.95100435444499,31.85875069495118,28.493872578236076,30.118707948570925,28.86318390885769,33.27697929550273,35.448390471630866,36.841249701391696,38.63777948664383,36.95573142173162,42.53130340014965,41.19926630033292,42.479865631172785,40.1383829612988,37.278823181147075,40.797797746065406,42.48031847177652,39.31596061557307,41.54425700920071,39.95418390217944,43.48940132831196,39.191609236746395,41.87718449734779,41.92351362232413,40.63088917863794,39.76435841664792,38.05768699981435,38.851233762724576,39.08999928858551,34.70785988837267,36.78932114083779,34.405654393605154,34.20612036348231,36.76607384549899,36.010198691199264,32.039586244648746,32.238973649124276,35.30215110381148,31.657856285632786,27.43021565788257,31.72613102217186,34.31606842197646,28.13610381354192,28.400745508377916,31.705084464780075,29.524033820034898,25.603566916156808,28.854312177045692,28.484294107681706,33.792682782734985,32.65725424521013,33.88838315438879,37.35847979749911,41.56631010578665,44.60076268129399,46.841939566318345,48.782417231552955,46.72446087001361,49.14619433762297,46.72385646758836,50.348461233521064,48.98268087085655,43.01562317786775,45.80717994976327,48.60240192337751,44.240489287128355,42.15064958243116,44.99349250889107,44.4677321851764,40.13168699228159,38.94558028279781,36.99205800479618,39.92249205633611,42.97337864720739,42.63286820605527,44.9485934074189,47.71445303952253,45.064761133133175,41.198454097697905,43.27269946125981,43.78654984521733,39.11299803423368,37.93943250385872,40.098287221114745,38.123517259529784,35.00801852294174,39.420570009118705,39.72589319672189,35.16301278656571,36.42477005580652,40.32489674299976,39.18495703101022,42.19913285422821,41.31813828074144,44.69741251422828,42.86634775421384,37.44482768009233,40.939932700267086,41.88832921312039,38.53132878259667,37.08999243360349,42.61089176326274,40.751628573280456,35.53810604732242,37.8890182788275,42.19963182575631,39.7022098226029,35.7096878708342,31.060478307626504,33.8299806040473,29.390647821248503,30.906670320277993,25.878763980801814,27.13581886930584,23.545405321864603,21.433595387680317,23.37675972984691,25.788554673971156,26.746832182251588,29.546362137955253,26.27545193210144,29.717267248078574,25.730360537280507,26.16810862608078,30.87760146474023,33.07264794223764,32.896062881960724,27.90895549039491,28.645143743249612,30.97360366654942,27.241542802987563,24.132706172767296,28.06342086769333,30.186244539200644,31.571227715369282,33.26419888081484,34.04931645671475],[20.348937349801677,18.557548836107905,18.714145649104285,12.957797542294099,15.943171525541775,16.64470076521217,16.772186373669303,21.0622020127238,19.321788965063458,18.951758971298364,21.59845727092068,25.18839388244663,23.639753827484306,20.741462971088303,25.926807588188787,27.574574164617136,24.816406324598923,28.479365233936633,29.17957028455534,32.059409676920346,34.60030568138176,38.22706374963266,38.121864313942986,36.71429798098359,33.87795386170425,30.31721169953139,29.252005468721585,26.36418311176944,28.432568117638848,29.329531061287074,32.507388555114154,32.93881404646615,36.65654826174386,39.58937705145895,37.09124311201303,34.43467834743315,34.18313544223463,33.2705528930559,32.26348078839195,37.90131293216776,33.416540731091544,34.643520112264596,38.93943053030201,37.626447622087206,37.01756830331541,35.401637619022544,39.30869004932409,40.48996788340797,36.75975476513166,40.33603965841935,44.07464173159051,45.37975660326375,46.56015196449741,40.98937712710549,44.54542069246649,48.07012852262086,44.99570343188641,42.571605146614615,47.0998770006542,48.66439474788412,44.75510347206884,46.20427341642101,44.816306961888806,45.840015999173154,43.1712685884559,40.00001313730555,36.8333132237237,34.51768631440166,31.328368120953677,30.016399563742198,28.46844392766396,30.720476332521564,33.24981108804263,36.073787761173094,36.19188023059417,42.44235009910656,41.14482525253303,44.505763975715645,43.323643217132435,44.03000697953959,42.45321873073148,43.0339518463435,41.88254090287158,40.33406845158553,36.598423847571524,35.889232501603885,37.36646501699277,39.022350072037405,38.059267910126536,41.87486396737021,39.21092382061931,42.08170178526401,38.98165809071372,37.56532240052218,32.92683160751091,33.512273367080915,29.18572433913227,32.53100602154145,30.5580203458096,33.18952356348823,33.760439282522306,33.5317598519716,34.25128301867414,33.000307163032986,35.20383689839058,31.056593620434857,34.06619665751276,32.515335543530895,28.962742137817614,29.383356231821715,24.740459374974208,23.714916011307206,20.512491285661245,19.421202922379976,19.35985817903541,18.044103434810193,21.1864505767995,20.41457923199097,24.796780706931283,24.331056845803243,20.95700806878479,18.812960832797476,15.234510710728092,14.539321556549005,14.314447435382625,16.241825641598915,18.41668863885624,20.958466922908844,24.06921555859516,28.458729922598025,27.605751920305373,32.228416502910605,31.91272974193964,33.237664518198024,28.4407336703114,24.647151305682108,22.004885873409002,19.540383249962467,17.074515287521095,20.38914099774967,20.455488891271468,25.114265040551537,25.1799183278482,23.627570282289252,27.177163483852823,26.617424011130332,23.653167642043677,24.213412755687408,24.764422853311853,22.94748952313712,25.595889077582733,25.65407392945226,30.6095793751302,30.63457726674833,30.938565689884147,31.0706911277452,28.374662698105144,29.183045260881322,28.74773559333269,28.420499884387613,26.65447163692543,28.955350854205083,26.12060345377187,30.890057701148,30.40803208166221,27.129565752572187,29.56433113105479,30.083470211370997,27.898406138572632,24.42140045722068,25.806682227523883,24.44296588957193,28.752385011795596,30.850558250750368,32.245265025242496,34.00120978519284,32.46779219439312,37.98694053433502,36.648631480562344,37.83934910141118,35.549655562690916,32.56747127236395,36.15463058041197,37.929626353557076,34.81103925689506,37.16579149968954,35.69059705625121,39.343973407730985,35.30018882139065,37.84952925771639,37.92617989436516,36.40917074589359,35.5458281231565,33.757395418961124,34.5177207878373,34.851792175706265,30.428795578033704,32.50461979134963,30.271360498732935,29.863858894680572,32.68709420118944,31.830977533729836,27.798419220937912,28.36438439912902,31.528479359406628,27.845932680157976,23.849335134096762,28.382725235589056,30.941482305105197,24.911486103938113,25.532551737369776,28.999253716118247,26.772497945607533,23.160932624273613,26.788486290670804,26.23625518835941,31.58328090638807,30.430769886100947,31.178962938484105,34.728118044036556,38.79992186550403,41.95799644302512,43.95385055385147,45.59999078378859,43.284166608525894,45.478425397413325,42.809103905737366,46.442068048446124,45.3395334007106,39.243245130270395,41.81175023926237,44.80991470896209,40.58371945764635,38.2584033660879,41.00920465672489,40.85136089127234,36.578745249703466,34.964852618965,33.060090654330835,35.61473733675699,38.741071544358235,38.52752384233128,40.69649624133251,43.60212929358803,40.779229092903805,36.9660242368589,39.33385955748466,39.768399647427266,34.99280853568792,34.08091464171537,36.443312084843654,34.52461372212541,31.507640364257018,36.094327686674895,36.56929150624077,32.170141764900116,33.52996369372106,37.450511925956675,36.18248377857541,38.925971928071256,37.71852730530597,41.15226472711838,39.699205204631966,34.12124859617231,37.36640626300323,38.65374543308622,35.4393046964502,33.64066234012982,39.28277393344534,37.86501982302949,32.52471147207198,34.54985130567609,39.15227390025673,37.04372763870684,32.996975807253705,28.394515357070556,31.669605828548367,27.48968470468765,29.008815157476842,23.73533366018527,24.36751010413694,20.643948907159157,18.979822811852582,20.50673449966156,23.104757079814902,23.522355603367316,26.041601049664774,22.278325718973566,25.45414027587487,21.26188074581578,21.99944709966357,26.575405649327937,28.99915862841627,28.735192945059776,23.717929284776428,24.905190737767356,27.339235884884474,23.343845704465892,20.6496246796054,24.919533322781565,27.214383325378478,28.590390177216218,30.31341153557837,31.17042622036195],[17.037110880361748,15.822395398686098,16.83703432180368,11.39489409902436,15.420265732346918,14.136359335554614,14.733573233284671,18.616980901023513,16.420941516091677,16.956158812537026,19.255090064215782,22.53564408940036,22.113316702604486,19.2521641842517,24.34178806217563,26.246665330179503,24.314036161452087,28.2910218422823,29.811146130142593,32.71514937283903,35.64559503007596,39.4591529778406,39.67822849503668,38.67045144702885,35.680159456630236,31.85209152279566,30.52753956755671,27.126408030189204,28.443296939698808,28.659180545656536,31.4379606862478,31.56098943472257,34.97256189514194,38.33879153429693,36.18845582839877,34.03340299709387,33.59673516696591,33.61346372932736,33.09605610801683,38.95320804741224,34.97389166642795,35.911379574420856,40.34675771015409,39.488409175868476,39.35861542322712,38.04147144550312,42.09933078853764,42.77584724941959,38.94505497593637,42.949987579912715,46.367889046494604,47.45398360373385,48.434484867845136,42.60189007804178,45.85256069813479,49.37747898934674,46.48898179512906,43.63363056788179,47.92279175755508,49.9399257384592,45.846865549886964,46.819739079842094,45.03470164128274,46.48092554161778,44.1051561152316,40.62074829628601,37.42036253697241,34.59813091955917,31.56045863782289,29.55224165084441,28.30226799089199,30.44846980947018,32.733569315225914,36.082385191459984,35.7628522149776,42.028598293705656,41.0497753536833,44.0160138742496,43.098068229095304,44.20354039799457,42.437990504156865,43.41946880759893,41.90586175689199,40.73355670138969,37.32200646313379,36.08116983928619,37.707726023176605,38.7024009452727,37.97064623688657,41.135334495710445,38.474682297640015,41.15695264544854,37.73897364998642,35.950064141286305,31.243927484256012,31.43349087373787,27.050506761329547,30.37208340847493,28.186528306553626,30.34788875505428,31.801112485860955,31.504923812337317,32.96604290535483,31.727784918181534,34.72966194122836,30.452496734368413,33.48225718996822,32.41630817262246,28.608939257580005,28.51387595367398,23.745745748867456,23.187069724604104,19.417290493174196,19.33680826925546,19.029508024380792,18.716682291221257,21.90188810101423,22.08102004795216,26.11145095013206,24.721215798779497,21.43502964884016,18.773201514769298,16.183358602273497,14.871218485683412,13.708966055274692,16.72107888484248,17.671840145737516,21.05638164876991,24.21015931478927,28.705865135086,28.43365691472908,32.93278814623506,33.175186292425195,33.91555402132077,29.720469943621115,25.72342731839315,23.571882897822658,21.38549842420225,19.244129591075392,22.252135608419707,23.21252153009196,27.821535871302938,27.15517789243208,25.265706007447495,28.56200418333189,27.186595438262792,24.25116062926244,23.95409905325037,24.14917636610178,21.512580766057912,23.778795230758877,22.984679758018792,27.83496709708944,27.040621851117063,27.663730857453128,28.398492997871283,26.176240403416713,27.33784223533986,27.415918114026994,27.623512517098586,26.877772142960865,29.23737684601157,27.369023057806075,31.973772760794695,32.16292333489367,29.577917489445483,31.908385043057002,33.0131132890759,30.68369818396292,27.11839822121113,27.975501234600955,26.299481464322476,30.096857387348194,31.67563289721402,32.58821799108572,33.7715110106028,31.938083024223012,37.41893928874062,36.74959489424018,37.92017670442402,36.34677328091795,32.84051871570199,37.02538623019213,39.2075440552501,36.260665841167416,38.7269514178149,37.20846982814251,41.3064797262646,37.79955788628669,40.280535769945125,40.51624622909204,38.589180965145374,37.76605556149801,35.75319923415988,36.2741771083367,36.521954423703725,31.874142540916935,33.46782342135018,30.96847115581312,29.915882282055332,32.49637031586048,31.005813935121168,27.149422066672237,28.063922300339982,30.656150881228083,26.519071267453743,23.272614257057185,27.5426242117106,29.240940640007597,23.15832424888004,24.14292379619707,27.21275713355424,24.35700510961237,21.11827951303445,25.106461562298982,25.18456016157275,30.0917879817423,30.22267669773792,30.622544397259354,33.78295990356371,38.23847173491997,40.89913334640481,43.448821762344735,44.82982177325877,42.67002381300125,44.85431517497555,42.14871694021916,46.15955137593157,45.18875457266472,39.172172849472744,41.82544433911668,45.223264247884465,41.1471111898583,38.83106195433211,41.85365230713468,42.02785750259681,37.6821825332584,36.2224283536442,33.69172367210398,35.84514314080286,38.770562033075606,38.00131014213825,39.84691054975103,42.311316196726665,39.39504231312116,35.89967676518009,37.79491621233265,37.81821957960169,33.17942926772748,32.369662923063174,34.16496186788489,31.941118971518517,29.22502502125046,33.87203194515276,33.86942164162112,29.282314952847173,31.175993393570117,35.16050093327178,34.34557848627963,37.24935250042369,36.275517068834944,40.0210614164017,38.48595629633347,33.06798839348257,36.6913422101381,38.155130744754395,34.94045851282213,33.563217531185565,39.399314357198776,38.09346990042761,32.90425634551969,35.26013229579241,39.90153220352081,37.91676585970844,33.98879122552693,29.28611641061513,32.97462291231607,28.81422120109009,29.51456954913016,24.197889729621227,24.27778545534131,19.94813445716319,19.324584746532295,21.271556335907466,24.43997746630169,24.868698417978358,26.632593268372126,22.61158486981069,25.712604696553516,21.27867412498314,21.013568066197525,25.138327791285015,27.167327872388828,26.487939140285203,21.758658167512284,22.646856055680434,24.451916360925225,20.45132291001432,17.75733839960053,21.855788487729846,23.614837759249752,24.93128857681452,26.703290595795686,27.62796274467939],[17.88518605482076,16.324172126897338,16.40156917990784,11.074081655984621,13.55968631255528,11.514329770222012,10.986966939811111,14.645766094387728,12.140913595241095,12.255105760523138,14.685070102849021,18.042038813378767,17.38507394750044,14.648528263013334,19.78495869189081,21.571363746192468,19.740351752339084,23.862698399167463,25.775090700856143,28.497693180667582,31.656768262606388,35.45827318363145,35.940436608058334,35.162671149715756,32.02194914313678,28.12492671760777,26.555533923532156,22.931592477803154,23.9476039009289,23.98252431809231,26.844849300586926,26.83798862157463,30.29417599337597,33.66944173526469,31.488388638062638,29.419674778778038,28.924284832048013,29.17099247235209,28.853100568084816,34.80155645434606,31.089394205777314,31.871589560370122,36.34752022527462,35.75042065211636,35.96219406650189,34.88287859698974,39.030714543643796,39.30129770227756,35.451476394982414,39.7787892886175,42.91091555448982,43.8696043176501,44.67483713660553,38.71986271903041,41.82160977498901,45.28603958278899,42.49429185788683,39.43704537901168,43.607402741338625,45.82542103323447,41.69116887053447,42.50100263413374,40.61393716143558,42.291333236490445,39.981638767004604,36.341483407313625,33.32802289856377,30.3070524520247,27.557446228622485,25.40114118242649,24.44037286457702,26.867709157051365,28.77110884875801,32.1183597859647,31.4540270688949,37.70366101532179,36.61430671944923,39.46765883554485,38.52136478375829,39.68651256892221,37.86113583697205,38.97150481480037,37.418170604608186,36.42211577766339,33.10562191639599,31.624297593937985,33.24572123769065,34.066536533252375,33.418077606569824,36.479236239065834,33.912451632931436,36.7084093946704,33.27768041476523,31.420779832048428,26.69283735468767,27.071820783902552,22.66794184810061,25.784478943387057,23.611912072511863,26.00023980297413,27.162804740165996,27.100176155787402,28.392103841095153,27.47248509788123,30.67691933718958,26.631213607097592,29.989637487732843,29.27929924653771,25.722621953927696,25.155533204291604,20.485777804003096,19.389558705427646,15.30826282974806,15.230610789624846,14.513356722084495,14.608950164964204,17.762721750647366,18.522889126503298,22.470440467771077,20.584397242502504,17.490827730314848,14.531116443979613,12.41913264663958,10.724316435511176,9.378125421834834,13.160534486603966,14.480555919578334,17.80567777818386,21.21668255813678,25.39146897912421,25.85568215369802,30.23292225717235,30.39911432285087,30.608484937031093,26.716531902605087,22.488414804753184,21.220520095693626,18.61519536350555,16.433404824411852,18.93050399081951,20.432991468401163,24.870844375024898,23.644305871156565,21.564086778991722,24.655131441947336,22.8840994926858,20.02044128099097,19.464181528262756,19.762213549411477,17.058801159177815,19.674664576718115,18.867095568015348,23.912606190208084,23.507199630770273,23.65440906132609,24.112216211735944,21.664426075814358,22.98495197033473,22.818945889397966,23.376325430061268,22.77672628492429,24.895902163193607,23.514932592177704,27.965064167611217,28.67661385262812,26.621624172209554,29.118994918689552,30.701004392851548,28.60291125149023,24.83322665159614,25.34769220226808,23.182538329718597,26.549281536795625,27.795908185764823,28.405491393051783,29.463678619731986,27.399110466895966,32.92099984195857,32.396819936308304,33.6965940706433,32.41475796022043,28.9776208671753,33.45893698503319,35.81451846701829,32.86021696990105,35.08321863952542,33.39427838802474,37.771725952738265,34.64540071324757,37.19330483145911,37.70956207870786,35.5647631891719,35.071936098863965,33.152173581174,33.78338261639499,34.376757559431304,29.816071878813332,31.44518157527422,29.34010768632464,27.795443933621083,30.85142941337863,29.009416498025193,25.139682070717825,26.871568332915633,29.4425473021251,25.158157830665736,22.661226161532696,27.109900171061305,28.437541907777003,22.731068220509698,24.341019634886273,27.40891480507905,24.31265228819976,21.770240730897658,26.188519006470763,26.211417108852377,30.92604442186651,31.27920368431673,31.04743967371934,34.16483656883259,38.44881888534228,41.12039147000632,43.44217213820771,44.36305805672251,41.88350861847543,43.69033363348757,40.58497207886683,44.64421436714163,44.13951217167704,37.99697060639052,40.23865518027173,43.980469449153034,40.18433222812459,37.50889966688223,40.31671215920739,41.09963431741146,36.93150664426307,34.7566140935298,32.390542062364936,33.72521846541709,36.75564800620725,36.153854919385296,37.584039497646195,40.169042206012,36.83632829308575,33.635792792537586,35.93520028904897,35.57798620344741,30.82241244648854,30.647636205783925,32.51023281142329,30.221988831058404,27.92358565237507,32.83461355744542,32.849839259961946,28.485737916700963,30.787426942307007,34.76484745004915,33.963709454218815,36.48500715509619,35.08691272185455,38.97849498790114,38.009604089438206,32.49022776270421,35.76405151019571,37.750172810481736,34.786011905991614,32.988930263836956,38.92703803138202,38.24888894267973,33.00362670984624,34.87705302689631,39.842487747756536,38.38241647033547,34.46441028810636,29.932935577864065,34.09607689134304,30.303207117197392,30.99457812032604,25.581637185008205,24.888066360574093,20.46207936402935,20.582534329151823,21.964272288240995,25.224379783470233,24.942902517938194,26.21884918042217,21.480133926794103,23.90826850770327,19.046650979154837,19.18578508565297,22.624033602068646,24.971089570391047,23.706150877999296,19.20976828624269,21.00657802268062,22.498532317372717,17.767178920413112,16.31642005989213,20.845161623341546,22.364722722748535,23.523884955548667,25.262164793240753,26.20338995758428],[13.952753055649977,12.8051796701009,13.615295124596468,9.1320208526587,12.707577381398654,9.053193978394077,9.873482676585404,13.144865083660413,11.014789208529805,12.853370579785771,15.126940340044355,17.657046446251176,18.211436395082558,16.21086657869794,21.055743043336562,22.755977676288985,21.722644253380558,26.143389643994507,28.742731163359238,31.163765527871128,34.63821616688502,38.353748420795306,39.16949686035631,38.57966108630301,35.27506795367724,31.405443494280885,29.467667636643327,25.613817415578037,26.05732436023891,25.36137252777274,28.29331864546901,27.563445232429615,30.82176286450686,34.65350340977885,32.62654658452594,31.089757764126645,30.091901300119773,31.16137419112106,31.06474621422949,36.86119729027967,33.694345147723084,34.6025903808629,39.063163296135286,38.64458000657012,39.19475479236524,38.094767974984215,42.30961445957135,42.325218720962724,38.228993741968985,42.6216497061454,45.621107238076625,46.339767128566415,47.18921977051742,41.103254308500546,43.85005671417354,47.49923067246489,45.02937799808354,41.69335637654142,45.666021494112485,48.28541040399784,44.26530089056883,44.86070862620946,42.77354987396548,44.88959070467453,42.705105708717774,38.824868888744845,36.12055501214017,32.758272083454216,30.398572928791975,27.813744178897114,27.240151557948593,29.671191952316537,31.20114614158591,34.80197813382502,33.62520435713965,39.774676165943646,38.71180735910639,41.166836931937226,40.24747626413969,41.54170849216882,39.36005484503841,40.594585594446116,38.53524781035071,37.672903831027746,34.73436918385656,33.07369747980338,35.10970170765987,35.353747003170675,35.265039210455434,37.81897287780484,35.51755765762511,38.31408286114504,34.66042777346454,32.381774613425264,27.64473627032031,27.819385453316855,23.43490796403667,26.007245605441344,23.393094553293167,24.858877417305514,26.933421536417224,26.221787083703354,28.3772736911258,26.946700181508227,30.60417435212234,26.27138246954442,29.27231431856902,28.77747699189349,24.88885054025803,24.169786779063188,19.457932560230613,19.358542051899718,15.244299471662579,16.411253404927482,16.326493297471117,17.27846548084477,20.620713469883793,21.970522367848858,25.940008749555616,23.49728085632663,20.711586173586873,17.431035370528136,15.92907510081178,13.568062636689527,11.043740084040662,14.650033041589698,14.032029121113581,18.077593153775947,21.137679951971446,25.503378154159382,26.025327661036762,30.220397992738235,31.040846077433738,31.027614099224927,27.683203663411394,23.610617373038743,22.262660068985756,20.51510994656007,19.050324079727265,21.549103269000927,23.87677244816746,28.30453102191584,26.880823206893538,24.43728251476048,27.250282845023666,25.04842722750306,22.17090227291556,20.814477657754026,20.375784974626963,17.023067662709547,18.672512916427145,17.302923720590833,21.96118207051963,20.891647785584503,21.787736618509932,22.772650106830458,21.018293161765733,22.21591996963359,22.953556685903095,23.413814810962265,23.834606235044873,26.411225149703185,25.670543967625424,29.9260519631791,30.76637679125145,29.16123046825274,31.167962692114372,33.0521122148209,30.595936848010084,27.036994945179917,27.13778857152338,25.17102442368726,28.184284681533928,29.11852974326116,29.52915639609571,30.03983814386896,28.131159321206056,33.37851461031008,33.39673059854207,34.40704672174326,33.631577217988415,29.544793983677224,34.282621291460316,36.89643975985832,34.24196965625206,36.89487563379069,35.511907417457216,40.01773413429615,37.32246221367298,39.52797881254401,39.910895313068934,37.45407480020686,36.68166257266339,34.441255988851786,34.68665406170536,34.934912685172705,30.189538824504112,31.258306555311826,28.746563785296246,26.85707955592929,29.39625004566304,27.175143206165334,23.562899182858462,25.241061309955285,27.258694978057854,22.72901365956727,20.752567519064314,24.795639546518032,25.48354695612353,19.78495989227987,21.55516751957004,24.2451567828308,20.780200473729888,18.54702389153399,23.10039665113905,23.587548708548265,27.872627578798106,29.17854006773386,28.731098702042313,31.4937891382214,36.03938052827141,38.300332546704695,41.05919060590626,41.86204397553819,39.611106520354205,41.50856968294978,38.54690096195163,42.86683526375256,42.31010092368709,36.34944285489455,38.79429477525275,42.71402692005875,38.99661401590469,36.5020689755077,39.61542432034069,40.455729368453575,36.215917623012785,34.51468376087616,31.5224075802134,32.82445921498875,35.56432107282929,34.398305323804664,35.72559683413192,37.86494457739775,34.69558775345656,31.642577563188368,33.3516680310841,32.85157352210978,28.299459080142167,27.93313472664423,29.32926955068919,26.871303243788102,24.66866830323281,29.49962063271677,29.192769230203172,24.69213754522743,27.245041348644232,31.228941867511356,30.745566935118813,33.43866743254598,32.34734393116605,36.39730272255239,35.22817325542541,29.927704832371404,33.553547775031916,35.51993399042838,32.54306576999657,31.22869808295504,37.21203404378309,36.49507134089107,31.478127170348216,33.72306263338665,38.561836800719604,37.12018955447806,33.3713263191667,28.82386721578328,33.190450542115165,29.46608674720411,29.455801378335273,24.169922591356833,23.10139607347081,18.36912290745298,19.307774722083227,21.020593509528517,24.62671522120734,24.50960299895282,25.177178844330793,20.61402836699095,23.141453528883115,18.481985328093632,17.435919297077522,20.643921586270906,22.442165099629364,21.16580017947205,16.880539307841467,17.989177619305252,19.095376054264666,14.773133376304385,12.839813982199406,17.06012287897436,18.31843168496911,19.517308115498075,21.34769698908403,22.434114103898896],[15.929607072593807,15.30787594199475,16.048371373779688,12.759304256097565,15.143154365593073,9.689476861812599,9.537549147429086,11.094456787457817,7.7229051199398135,10.231710946471528,11.558460241238784,13.613310549160774,15.424157198230493,13.587893909684889,17.803495996395892,19.703081156200376,19.659522804831735,24.03567798238745,27.31765816710153,29.680879412258886,33.37284586319224,37.184369929215194,38.26931397981664,38.13816983035156,34.82570089904592,30.813730301216218,28.796299046060206,24.65168408472214,24.262176390191517,22.969818977650235,25.172420860680127,24.324652453730312,27.130464066877146,31.20711541017685,29.628483104478214,28.600631374512268,27.642819578989243,29.547965853705232,30.037335168777386,35.95151362889589,33.31826865708626,33.708093585973884,38.170866434233965,38.294557737645086,39.292633019068774,38.65725016981839,42.88973075383583,42.352882906896134,38.42592668674621,43.23120890359443,45.76166247187123,46.31716100192982,46.816676168244484,40.62700920174936,43.08299940394793,46.495600487914274,44.15627464110278,40.486381263096064,44.11871955011069,47.06302766881713,42.84838957364642,42.91198088475053,40.464218278612286,42.90093327753467,41.08170074493319,37.018545628626036,34.30663012408718,30.567898885446468,28.477368715678242,25.32974791743817,25.151329058511635,27.448457343114608,28.5526444076935,32.48993142704718,30.89538296085858,36.88021288088183,36.1695599996421,38.21007314909032,37.62040210382421,39.33475112812944,37.15655591070801,38.85160408354839,36.68025613652354,36.33665126770214,33.743423062735516,31.471961520091362,33.36369282111156,32.98568973332028,32.93104276195791,34.773354134019854,32.46419515350075,34.99276848409561,31.14514705760712,28.60679469238996,23.95459350045461,23.771880771287695,19.49491384760477,22.001781270104555,19.38602202045503,20.670585569169287,23.4086271857967,23.159408898184605,25.747791329796748,24.91885228805677,29.38135134979776,25.42392435333872,28.694831974194237,28.93861443605351,25.32211444641458,23.76258876826737,19.38193340996924,19.055711732984133,14.506985786063836,16.349298181619933,15.407179505425818,17.311671509236774,20.077458359049068,22.270440046866135,25.43194631980811,22.204832201466232,19.809342578778992,16.402917015901377,16.334274383638753,13.971452015496157,11.364799129154317,15.802682014814774,14.877727397235834,18.93592834778595,22.01544925693821,25.842131432446013,27.366160294305665,31.212446357961362,32.182280312558106,31.365681897399778,28.730319028697178,24.536941825259838,24.28864804529398,22.3223235432897,20.924472667229335,22.63774207948534,25.33647318044469,29.34389278122534,27.177525010336876,24.701187833657357,27.064146116360796,24.12082698278052,21.60705777247056,19.55401728155633,19.104844671696675,15.16472258517709,16.74800862316215,14.20517680222317,18.81250124178582,16.973611436654405,17.58356943313409,19.10969133977778,17.712013457392228,19.63458683117641,20.470615509268594,21.995876907417294,23.294524893338227,25.34628707907078,25.725816250277695,29.526272333765156,31.2505045427363,30.423848637673352,32.58259280684003,34.96791470732356,32.794759365269265,29.133010797437592,28.83021203819177,26.360179398448235,28.611791930203694,28.900178997913933,28.64691281988973,28.634049210268575,26.193426563676276,31.319177210281325,31.985023383385336,33.17135574625617,33.17475688937334,29.078068163281294,34.312713932785364,37.22254011610675,34.68382069015602,36.972009210629636,35.32955979901811,40.213176620097514,38.094008065579295,40.39049098716698,41.13269591626709,38.4266998979807,38.047669262630656,35.900690609061044,36.17378182873534,36.69722118474639,32.08072146561237,32.94081258931766,30.714126175234064,28.155603176590578,30.840670833910615,27.995206302251802,24.685086146349384,27.163460915208514,28.69728396967347,23.960143138837886,23.20750353833959,26.961903604341305,26.713112607404582,21.633403842625604,23.978130555577426,26.206508775233132,22.272285016950192,21.015552572626,25.75817355274829,26.60149602049638,30.274114767480327,32.43915282971052,31.453585470208445,33.847162042661765,38.38845133264627,40.27126732100518,43.18206548527584,43.48179228010966,41.1497149903516,42.71348433588793,39.47429472477521,43.98569399193136,43.88531854350562,38.01281144508744,40.1232122501544,44.45740321238188,41.10519614257932,38.40433773221687,41.41450487152214,42.85266314876807,38.796111599451585,36.679546238684594,33.61240166708386,33.99605472304647,36.628767804497166,35.28817254986858,35.98742351140394,37.849589792284554,34.293510857781484,31.865344983202583,33.51368568002337,32.31937056850605,27.930415467553175,28.266716821370704,29.156211143069477,26.428390865430124,25.01352321997372,29.912787331644076,29.177666264481736,24.869553329975073,28.15385495454297,32.03082353092532,31.95750044360252,34.39788227799119,33.18870803638467,37.467973043551666,36.69874859790076,31.613188659238535,35.10913128854868,37.509834400121605,34.79329788016117,33.482131627072334,39.472289955434945,39.245795210159145,34.409065746225984,36.43786042300178,41.39054720241967,40.359852339552944,36.75374642994662,32.38728419246743,37.048759928013915,33.5927802432394,33.26080115307107,28.09666844964026,26.44076850865238,21.65420570288813,23.367621637519864,24.869602476893554,28.560873069245606,28.069581505833774,28.11697079882085,23.19948806256836,25.014520573340814,20.20841977563676,18.956390934838534,20.8715847315749,22.502605640105077,20.260143501532685,16.895646328916843,18.509721287538706,18.48946112964288,13.678694566901461,13.465965968456628,17.374094472758607,17.556204168095228,18.39397974775521,20.089998010260008,21.12051104375867],[12.87006366591931,12.525726009922453,13.576476709246197,11.580353482042385,14.252656961183904,8.007425108470017,9.28579584592766,10.366853002150249,8.437265848713956,12.270285476794616,13.744715129449828,14.776506714429257,17.16343675906003,16.298973042494698,20.20682166205694,21.721004135815217,22.035782736281202,26.59404984620201,30.21360416596508,32.17607099320934,36.061032490119025,39.657992057433,41.004354444981615,40.88506320802584,37.41754156202854,33.56401666042914,31.1992755953248,27.038658000617872,26.434225710015916,24.675870700110135,27.310872477643542,25.68630298784993,28.444069806687004,32.799731179858995,31.165596823862707,30.499797591117204,28.98160787161133,31.347427090180897,31.8133814201598,37.41666015420148,35.194361063515856,35.91743041690104,40.29840073939241,40.40023033829375,41.592013728921096,40.78441797768887,45.04853904589579,44.422122047360666,40.21899512971482,44.923458152821276,47.435302842866086,47.79187428912581,48.44421921957138,42.213147318243045,44.37603088347904,48.03276377633047,46.01220972464301,42.214577687124795,45.73022964558787,48.95014116076594,44.992744294384,45.06784267313603,42.609129714295435,45.37735627029377,43.5299593838838,39.32831042933834,37.061319340978,33.19731790675979,31.519706149354572,28.31319881757432,28.41994167057895,30.84674357260313,31.63086529085217,35.52113858208546,33.5344018203291,39.37295038141891,38.44932217747879,40.21892172549336,39.46813994889036,41.08108438844379,38.536317374960504,40.14154918937139,37.516994933174786,37.12368774760258,34.8345224903824,32.6489928389418,35.002342618436586,34.28705756312849,34.84617375903864,36.45977641072484,34.53571566740875,37.21865972037761,33.32243924141128,30.49872679416315,25.930940281456778,25.82574442788691,21.698278473141336,23.35761846238755,20.317211013406077,20.56113039689673,23.86540207691229,22.697929043544768,25.95092050393186,24.400358202617983,28.957801563633602,24.73041013480882,27.51899603897414,27.81696771431691,23.9570523529877,22.434834244101236,18.14118451155811,18.818053169389877,14.663666668367346,17.352042592533152,17.347077703161947,19.561394364531477,22.620546214279653,24.982792695677947,28.480913931141664,25.11601976729374,22.966143114094695,19.43673739294139,19.25987250192237,16.437567336191126,13.169693242309227,16.822842173945563,14.388988611396568,18.773154254979413,21.386405845211712,25.329534364652783,26.708391856433394,30.347778394333577,31.850246004285207,30.99304808349244,28.77618576074979,24.86028003333824,24.383204783470937,23.22360409774568,22.448874956422245,24.298355408378242,27.586426138374634,31.65312399452038,29.567487890611897,26.79251009212598,28.982013886542347,25.9659472715182,23.389724607576635,20.89952340104104,19.743333898144748,15.59688459669407,16.05069039422567,13.402137468009965,17.36464904674104,15.196077472752627,16.767901317058957,18.546843335625645,17.84335223915057,19.240833114488442,20.97396279785488,21.963731478938648,23.952929962349753,26.548901508811635,27.170489869301864,30.833616660165887,32.39000965362745,31.800888250060627,33.447520737461986,35.98106682962553,33.47674363019423,30.075284815914024,29.483823824070562,27.340515062465027,29.3945564761063,29.552213921616495,29.307922419492545,28.92099830144786,26.8929408093214,31.65166742389287,32.62195614331956,33.43940626906738,33.703231089025635,29.075144877510578,34.322831206260354,37.35920164231579,35.111051353366456,37.862465925435274,36.617998132350145,41.45458275941675,39.623938398437915,41.54191109746492,42.069223869796666,39.155120941871516,38.445944032974985,36.026322244200145,35.95011009706503,36.13106971062194,31.42495857324129,31.814072744153854,29.277823389935506,26.533023281528887,28.72035122542129,25.652448525527063,22.630369311039708,24.98393207884876,26.043338649903298,21.224750255051752,20.97656389680025,24.291638167408898,23.524353536004845,18.645163710856306,21.125286491673027,22.99500386632522,18.863635241583925,18.058773449242658,22.80100559639441,23.931867675013695,27.156825194281495,29.982426962142487,28.765677094961816,30.849520186135937,35.48693034847805,37.06732948641826,40.22811880347748,40.419099506222466,38.26150147946835,39.88116077744591,36.79271152265834,41.453145181992255,41.294345845183386,35.62038089778742,37.87803740132645,42.2873660554454,39.02260554091806,36.50225208371941,39.72584518924487,41.170483584659756,37.108735473078006,35.40992124278085,31.89137093373943,32.29346943153491,34.65277249440702,32.881232502791924,33.54488934895603,35.05625514297183,31.71874623456597,29.36839046177256,30.521416964797037,29.296858961188768,25.106944173329257,25.225498444817717,25.775315631886993,22.964897413312343,21.610427087815793,26.399068570962786,25.474078144414772,21.124731745624615,24.559350039127555,28.397048395459706,28.52727299256794,31.036654587972507,30.049441969364977,34.39536087791263,33.50514963953784,28.639656383849857,32.33101720985378,34.702437505764244,32.032127224802096,31.080056684915064,37.01737052678658,36.80310068620034,32.21359983003702,34.45767147522255,39.25736253881336,38.29555312833989,34.87602365719044,30.607784402427782,35.38252054585478,32.10745033667588,31.266898832893254,26.329397468666837,24.32670151552114,19.516956225619957,21.887273187491235,23.471271342103183,27.293576998877718,26.870330524783014,26.409200799145246,21.773145762582914,23.598022922924596,19.173200913387326,16.99262296244052,18.64339832863412,19.74192651811599,17.635192506402483,14.532035238500772,15.4471914289912,15.092530790403892,10.853577594305897,10.273224172473338,13.74621441578007,13.72621093794791,14.619538572324958,16.461197710098602,17.71733343199687],[14.706007150915273,15.277777411287838,17.022248192029,15.603868649537597,18.407230700925673,11.93275832316971,12.952194255352177,12.902458230711892,10.376814729310516,14.23397044256046,14.627351673416396,15.09435580260421,18.67766071616233,17.700631726831393,20.877869522212794,22.68476925647461,23.7536358124893,28.05840415701532,31.940794468198984,34.04066577149599,37.932840207488944,41.66179531231485,43.048492488215025,43.20882071255906,39.84559403866516,35.86738239549963,33.6487807474494,29.383908486300527,28.304903014299494,26.240125540908483,27.964137791996947,26.45883065096406,28.611136129861432,33.12057652471194,32.03279356185617,31.78895772500762,30.454177777914367,33.365320618857815,34.235022986574165,39.914734617118896,37.94734369782183,38.248136830143274,42.61630638579813,43.05723875121494,44.41714460493261,43.90299117381681,48.143633180975364,47.27552259817577,43.26469213100658,48.17323593544449,50.44299444767583,50.750804413012965,51.1647724781752,44.918608965622,46.93489567407836,50.37016209654977,48.37853881041306,44.412832948085445,47.67653399715479,51.046519606315954,46.89951901631351,46.547808424997555,43.80155386378671,46.68341015974325,45.17025429642924,40.926378658176866,38.46237281032315,34.40821862460381,32.727591429816435,29.118557838244115,29.34337375896933,31.390145890045247,32.07507005776896,36.29082538009561,34.20576112514131,39.848344781703595,39.41904699643792,40.84883664859646,40.497952505921916,42.50476285405038,40.06620318672978,42.04520737158143,39.401389521972575,39.40274835725261,37.35703316628192,34.76489443236483,36.9034251013494,35.74191764314143,36.19375402422243,37.14925384809768,35.12447199354096,37.37224707710115,33.32455597939293,30.34204161150647,25.992143105639308,25.301951555291502,21.453680482518926,23.238292097194083,20.3540427826685,20.15518406606699,24.388218634595503,23.6252325700984,27.345743031482137,26.25906195105375,31.357077005873684,27.418462293443543,30.205599514858445,30.938774303093854,27.215899850758987,25.294548498530368,21.335654417837738,22.04040701312859,17.83128108095153,20.70753599750238,20.109493334250118,22.61333952256183,25.223504747244736,27.852176846697425,30.716942691172992,27.034633302691727,25.01576759531521,21.60723620742534,22.128913387629787,19.604111299789608,16.627154265724236,20.629966100298134,18.219409832921766,22.51669631631569,25.04510791110023,28.700628543494922,30.461263968246374,33.8878222847682,35.52116361760471,34.30589163503458,32.46414714908464,28.543527399172206,28.430147179810522,27.168896141105122,26.29284514543044,27.86915345173764,31.054705819519384,34.939965092315134,32.53921774071671,29.889428975455626,31.891403624586182,28.525422813312904,26.221681469006516,23.47055465134883,22.40131317038027,18.02854615301767,18.266212579374073,14.639381573734536,17.99613638697122,14.404529892550483,16.157245851376068,18.858234512735514,18.816107802352413,20.801362164776837,22.67224247542845,24.431545449846972,26.942820920088554,29.13176064251649,30.33323887170848,33.73657149900031,35.753025183520805,35.44887780250416,37.218181577784286,39.888743720040665,37.50691614421963,34.06106735808591,33.386981227442554,31.054019254356444,32.79602133379321,32.6334460468417,32.00143670826431,31.265472396701,28.88362828135435,33.44718589344557,34.91002895840752,35.83495974367069,36.60396057851262,32.01110422914706,37.47708080103324,40.6498797787187,38.48320970870923,41.00888590434125,39.58868638939548,44.601207744408285,43.00582820054791,45.01977241789283,45.722296871153794,42.7347984037298,42.199705184742776,39.82446813449397,39.73669858090592,39.96983236272641,35.319378663839515,35.53731465835793,33.01481251048251,30.025232861615716,32.00995039570636,28.634403015283073,25.944331271557754,28.42167330850911,29.02307151473979,24.18009583782307,24.505674763577655,27.3994383575874,25.959542388460513,21.4827984304357,24.003426098967253,25.352960217546343,20.947367961570567,20.6129746289901,25.16983569862719,26.74887322927124,29.431280245260385,33.040689949691505,31.747079515662406,33.450195831092316,38.21510578076482,39.33837674826772,42.869715743317194,42.87793875961962,40.91223782127605,42.47085479181355,39.43082510786118,44.23617279844448,44.19348046930032,38.73622939678157,40.95802199623527,45.51784681789262,42.423275688889994,39.96526387318556,43.23372588542789,44.83038664161807,40.82144553377753,39.20815501587241,35.525036008682754,35.63497079574004,37.80517888601255,35.74154195295685,36.0716511942843,37.156254173502596,33.79166066787576,31.902730513880357,32.617802208842434,30.95922173237062,27.14782365032556,27.469838085667273,27.3480027042846,24.326034453873895,23.533586114579702,28.05640106999363,26.583271980676546,22.31117829869607,26.19920736808381,29.869864848277253,30.49213244112404,33.03969698991267,32.31744592425557,36.75777552745269,35.8285323877219,31.329219096312382,35.14966628247402,37.54831156068545,34.96532375680746,34.35350893430388,40.20252580237608,40.0175974675068,35.660399842369195,38.042572202496174,42.71839481418618,41.787086339712886,38.50198912728351,34.27998717133342,39.026082313135575,35.75256520581057,34.58769398779366,29.826855373253498,27.794019524752983,22.987382715063944,25.555920458498196,27.32572265907873,31.193506117279412,30.880262288974123,30.211712412289575,25.7120705141763,27.380179474641054,23.084282963940858,20.607882189472104,21.605127381190233,22.247693940903318,19.725725912669837,17.500072000737195,18.08629021423778,16.79394341581845,13.133696708661098,13.12953391469535,15.570381522477469,14.408192730652242,14.98656718620051,16.615751226606942,17.757516584302994],[12.467368090027069,13.439708291785044,15.380117253508908,15.474261806651622,18.216752552487893,11.72001043215033,13.723674972142968,13.251835254496655,12.24533816970797,16.737688238551797,17.436476066465577,17.133574888005338,20.86387431988071,20.714493152314162,23.723662141408294,25.099182332877,26.339946783182228,30.79947829851236,34.924117724301645,36.61899747105607,40.674374191351184,44.162844805955146,45.79624452076306,45.93524138311853,42.41945309843134,38.61951834699424,36.06775017874326,31.82939926679978,30.63045463609183,28.209992020649775,30.45030784711371,28.20755449336763,30.35625820011523,35.05266831882614,33.846629414288174,33.90084842104417,32.017235350197524,35.26999817823441,36.06383125728867,41.386507593409874,39.80921194510023,40.471157946943016,44.737400260199806,45.12109488257605,46.65060932674638,45.94677058766714,50.20534011438964,49.26892511156331,44.98866720144057,49.76004011836473,52.01590900225967,52.12751822158556,52.71009743093152,46.45674224206236,48.1792561138148,51.86303094838328,50.19998802629204,46.14278235110357,49.29719919921119,52.914821811745306,49.06443226077519,48.777592357428674,46.0715193016533,49.25864075539323,47.67813186775895,43.322295047931,41.33255993268547,37.20793066457317,35.928806959511704,32.3570223282644,32.82213813289284,35.05991853463066,35.45304036690715,39.54223325545939,37.10441435348556,42.59805565549914,41.88184094583047,43.07928507923941,42.51282969699395,44.35273740363913,41.55276560233594,43.383199432254685,40.3097867393832,40.223625404956756,38.48304019645736,36.04182564624894,38.63290360868924,37.20079006806914,38.26877832908873,39.07709603190047,37.47244549559678,39.92336553585298,35.89144294983063,32.6891684216336,28.45665671280274,27.96255110178622,24.289569881459986,25.19162726500494,21.958461576263385,20.735240918904584,25.31661032740469,23.577246229371283,27.849407818334875,26.016166086014497,31.06369442579772,26.934610793471347,29.146950903046562,29.924431882432923,26.057996865294736,24.224566883356946,20.537323721212456,22.184219484103266,18.53948982476539,22.000065268412985,22.241718937918776,24.919707046318408,27.80416745277086,30.53221796838735,33.76885054111093,30.02430516063064,28.20467937192295,24.68348209079731,25.01021027569464,22.104596945637525,18.667580745203693,21.921484911329024,18.34545245950239,22.71387384435227,24.70827581997111,28.359816425054643,29.943385286130813,33.08211452593769,35.219595019219355,33.9833417302745,32.58568006891779,29.008297529727145,28.694535250389798,28.193806819962973,27.88653599193203,29.56624686057992,33.25978588914307,37.186605790939254,34.89676845818672,31.982093438991292,33.825850311742364,30.46484310738892,28.10702940859623,25.04862504014113,23.367463280087627,19.006279672459595,18.17226254140475,14.7207396453494,17.106725039914334,13.340002979140804,16.17088554308887,18.942467185380764,19.583747910505647,20.90090927745164,23.581991736234144,24.708942149698306,27.781644425608985,30.46828079980381,31.82867282451057,35.08132159298772,36.88448813034152,36.79994040436803,38.05844962745716,40.84629458467002,38.17347540354697,35.016147266630036,34.07591468232397,32.08408097469064,33.62439863726761,33.35443672634098,32.76544499305096,31.69774134643005,29.797469932987433,33.92833114154273,35.63643410343081,36.16969353942822,37.15680517215597,32.108802862148096,37.491562961873875,40.747193733947725,38.892286605028595,41.85807702813205,40.851581588432104,45.76766324824863,44.455126270362385,46.07883687653389,46.55843312853936,43.390355117179396,42.53313323357713,39.914943809286875,39.483081390646795,39.374874399325044,34.71236098224764,34.44777084850693,31.6719871359649,28.539485208422946,29.949484732037536,26.38980739824245,24.12363646208805,26.42169792471942,26.449860446401182,21.667131885114692,22.633080742203028,24.90854097370906,22.83068861365261,18.84282674612013,21.45520564253994,22.281397798706717,17.74742629601462,18.11470134028123,22.4857028694634,24.36540916165964,26.405611259494414,30.7313137466533,29.16299396827253,30.457075455711013,35.2438799573169,35.9957816062823,39.76153007843624,39.61686910680656,37.859385232934564,39.44387088293667,36.5951705154925,41.514919179203645,41.42896183253759,36.26005652456611,38.59487564707688,43.19496589465845,40.246596660399184,38.0042350166131,41.44712126299556,43.05442558722543,39.103270447841695,37.92486898033112,33.83954495083823,33.93210892342606,35.76935449817215,33.26580394786826,33.52850798173293,34.189922805029134,31.11563093865908,29.375129254771934,29.49754452431854,27.797920607477185,24.32175806477735,24.411725614885825,23.827304977031055,20.740596132006146,20.12931403019638,24.395881137493546,22.660230488247073,18.436922596664505,22.516984771465083,26.059604222278754,26.95617040729898,29.52213596682934,29.066755001066035,33.52701987196717,32.50003135501034,28.34902866136683,32.3052216925835,34.65922817430592,32.19097703100991,31.98030337493704,37.671027495505726,37.538004298531064,33.52940281255044,36.07466557346303,40.52867792308605,39.7153312235245,36.68340086156411,32.65968022833302,37.46169101086764,34.46036056830638,32.781184743649256,28.376424417821948,25.989437110791926,21.353524395216127,24.54346244874133,26.30096499991517,30.188588995925915,29.915965912185,28.714520488222732,24.627951647879236,26.210938030895218,22.457610865074948,19.171961403953162,19.74120961170287,19.705516506655314,17.41315334935894,15.747634415255604,15.451314951985417,13.615833853440693,11.158536319934976,10.905595209737493,12.245415657967847,10.521558803429828,11.121022807122575,12.907971746707217,14.382533123966818],[17.89445001609371,19.355361242742905,21.428601299745115,21.533657960165726,24.001831068790242,17.312111986406652,18.494922458323956,16.982719429185483,15.221469598051618,19.320397367625624,18.795630778479996,17.76989510509943,22.663528356657476,22.47591478917489,24.398130580643848,26.015182309400096,28.186733820020354,32.205267565969955,36.63909851997082,38.42068289927257,42.451719499573855,46.0483281564987,47.76400279505324,48.31139108317879,44.9523356289473,41.043058130887374,38.67741612695829,34.35905507153272,32.53286173543701,29.75748824765835,30.762154535052105,28.703936228672998,29.957915641899632,34.730261066337484,34.29391265266691,34.930852006003484,33.33276614365442,37.25783728985067,38.60022831665599,43.97043703651126,42.77744178530531,42.83852196296108,47.03384496403198,47.91018864398881,49.70137426578496,49.44294612833514,53.64757808849928,52.3244379296744,48.3543567516879,53.42173932615349,55.28125282440239,55.31913729592079,55.52910094785566,49.295823821978644,50.79569909360675,54.11286643368651,52.506854094083245,48.2383831624816,50.9966461439651,54.8049867758846,50.726260294671334,49.83742571063995,46.76337888947544,50.10511188552297,49.006927833271156,44.63082229870802,42.46617128914311,38.137286513390634,36.97141722436759,32.959012847622695,33.648784957606246,35.408763366828246,35.539801578851204,39.932945338666634,37.32691385457375,42.41928810409603,42.3469135414759,43.03313051380469,43.011983316622626,45.36784548731248,42.75631602290527,45.09613237126931,42.06962105177626,42.555395458316575,41.158763220996526,38.16745769179541,40.40034105354609,38.376656224954445,39.28458130518904,39.16609721917133,37.49071883643606,39.326694262483116,35.18806285868585,31.832758440110574,28.059927621391186,26.85289828902107,23.771651162925092,24.64716447566003,21.791603084308413,20.031448781658934,25.613149798115334,24.617542795848546,29.267241290846965,28.27020783313304,33.934879233479904,30.378025635064024,32.716953620683185,34.113206981395244,30.61448281020938,28.201981585513355,25.020739702805006,26.325066031789497,22.581574887075064,26.078416817075038,25.50620879725953,28.518711060247536,30.77501155095455,33.86543787575338,36.236537769225706,32.10179470191554,30.55802439445493,27.25263189523826,28.47819349246938,25.9295087532982,22.87829558452436,26.62109446391393,23.41906047049236,27.553931880999365,29.567808497275788,32.714585944295855,34.9413715715596,37.795747030196495,39.93998495800442,38.152148739696656,37.23502833444934,33.60211914141718,33.94813629989726,33.119216680642566,32.62051214660517,33.84396604809078,37.417737203772425,41.03096034960364,38.27492321371256,35.543499516556324,37.085953081114035,33.28319766963755,31.33754569880352,28.01110878773345,26.55832410901698,22.087784358669264,21.25844772767241,16.855163248897497,18.36519990225051,13.011355274948862,15.628155766033403,19.423672066057495,20.83501498686959,22.92613130908601,25.529835680573413,27.72844673928095,31.323548053014456,33.340195512489466,35.48157806669116,38.330085755192115,40.814675245207006,41.17090516523975,42.66761780671494,45.68155302037316,43.279521767635444,40.008499973986666,38.95065606117613,36.60494218741473,37.675537480183834,36.95229251747942,35.811824202193584,34.326714544668995,31.91822517595237,35.731166466117834,38.064336181256664,38.79991977501188,40.46770663225373,35.63600189471363,41.28354046997348,44.69677183839096,42.92031071138492,45.4456055866273,44.145003676915714,49.298714255401926,48.353268372400635,50.14395470170721,50.933288767967596,47.67915279976937,47.17555223815385,44.70306651479575,44.35150560558386,44.46255202840501,39.951003460727335,39.60067177203592,37.053801245353256,33.59751796744359,35.00836344238947,31.117409717992906,29.21493557919251,31.87116525097259,31.506712960316317,26.82789862564975,28.439655762169483,30.396988216355254,27.675509154179444,24.37192899706026,27.053033768902008,27.401682602933207,22.811873615673157,23.70036592994272,27.78972085387003,29.963704119117835,31.431151603759524,36.37533802212407,34.652907465617744,35.55873013221518,40.30433375337483,40.57429403209162,44.57807874270266,44.08740552896386,42.45484506013156,43.79622874301245,40.89250160146211,45.89364100728257,46.11840606285758,41.20874502570129,43.29954498207651,48.111023392673786,45.46914861798927,43.181313091167894,46.52424481231781,48.4697099161486,44.67024583293361,43.3100606802582,39.23328562202288,38.740051135626736,40.41157557074618,37.7473114442941,37.45502292708319,37.667872629244656,34.43574365219877,33.42393062699975,33.24608819918526,30.89396749284411,27.954924307356972,28.590634094715348,27.288375564784282,24.087512884705255,24.385946173036153,28.221537908188782,25.916400507757707,22.196790789614777,26.692489619710837,29.851604017681293,31.28039160332913,33.644386560878196,33.326606900284,37.81494299727533,36.990458810143494,33.305287288254014,37.14782104741232,39.657631431358894,37.40882581194704,37.37310496404054,42.9096506934801,42.9934952350679,39.22604573460354,41.704051549750346,46.092716469397836,45.45087158647323,42.55453380710442,38.63732021906861,43.44688508945027,40.5036272371832,38.64582626766993,34.385155030899,31.93600090156237,27.377799826915776,30.64179210742533,32.422663393949286,36.305851408873615,35.97404569165885,34.59576334614389,30.449843205490794,31.67081736184189,27.909213317183095,24.73537254501007,24.459756904464715,24.159447772360604,21.24501473405413,20.663159646896165,20.586187258080113,17.853503656029957,15.76532595698807,16.674349022734823,17.262714770756677,14.450810087790368,14.482034346706246,15.595272522439993,16.599906516762953],[19.38994698701517,20.27513464055822,21.942821642856654,20.800655792388934,23.057398874673993,16.400570352326184,16.652617694893152,15.391106648039584,12.371462290617568,15.772894123798606,14.851372044961737,14.477137740732886,19.235523228570937,18.36320768882403,20.337542183291706,22.336089907623204,24.366539950927432,28.21907798381622,32.4446510393738,34.5558578117707,38.43677462027859,42.22901038769982,43.732600686737335,44.30736556871856,41.087716469051955,37.043941628381354,34.97049535587855,30.650736879390116,28.91299469110802,26.471796871431994,27.025269531587128,25.672810972272124,27.0049916692606,31.58450678958154,31.197131801050165,31.50962361500359,30.432402125065924,34.00046634291541,35.40802739547162,41.09256249790313,39.54807938283491,39.27423474143177,43.54720862418349,44.47812031642137,46.12723417675379,46.05799043722232,50.23008765487381,48.949518068945814,45.24238614815769,50.43096551859789,52.28213258307644,52.50405046174619,52.554646340151756,46.34060596087564,48.12131854628394,51.2031525345042,49.28467253458271,45.11557756381045,47.99106793167292,51.54789669937325,47.204956214072624,46.28698922934699,43.20043894297193,46.25026540949576,45.18858876885774,40.91959063691154,38.347008845673976,34.08973236972595,32.59370098239971,28.55948326387536,29.06897662948287,30.700373147798462,31.046532889206254,35.52652770190542,33.22332663256142,38.48370769034808,38.621919377776926,39.571788309485,39.71044842244953,42.18848718035573,39.923984997881924,42.37373915192513,39.784242612469015,40.32655486075294,38.621114440358575,35.50396855588025,37.30429849186018,35.578579185796194,35.89257986288136,35.98553796072946,33.90675262260693,35.612920372583915,31.461944007038756,28.325452639526663,24.383064470953368,23.04562488848276,19.737109692709723,21.48198569251981,18.953758349927025,18.380766001415083,23.45285621599281,23.445018266200087,27.452589300286206,27.185370391885467,32.851043975157516,29.47558365660454,32.41352358014112,33.74645770275933,30.39910842447392,27.89687616084854,24.440758771851073,24.82454892602623,20.605254089328938,23.55925949838906,22.212475954564944,25.09518749038385,27.028467469702548,30.06507979315178,32.041908028789,27.94583356122433,26.300926867037145,23.13791600222326,24.64457749101189,22.464673429462994,19.884432771048186,24.196762926194516,22.047919436360726,26.05177913295359,28.549350853980073,31.661576966860075,34.09709522773165,37.22086491103365,38.84973459200631,37.06385473206119,35.732641723002054,31.790478496719754,32.40657065664941,30.87183925878094,29.894474612152457,30.93304166880604,34.07015191749737,37.56708819416187,34.682236988247574,32.20226140891282,33.837446415383646,30.02898262479527,28.17208998139711,25.1263826860906,24.253220778590396,19.818058184968276,20.01185121380611,15.506680094840906,18.128877349100982,13.318164362080323,14.632097142063506,18.186498299469058,18.7903403567681,21.51762334872283,23.285281214470434,26.0757208144361,29.112989579207017,30.633625162973132,32.65293509478852,35.59981141325481,38.30055375870049,38.502103842062155,40.469340119493346,43.397212184819516,41.307423720961445,37.78387643368287,36.941397403069686,34.260987677658534,35.46354797774518,34.825472353234616,33.64264452369202,32.501975263105486,29.6346499892738,33.89702638265732,35.938954903709366,37.06365369287556,38.488518218121996,34.12554676899404,39.842884617623994,43.16695647189373,41.087220745021746,43.165851602348454,41.46823945941751,46.70197520418115,45.51922944265128,47.66986096314856,48.68743328828027,45.60589693362902,45.43913341399923,43.220906545433074,43.216625781105456,43.69317007362645,39.21566573550551,39.35431455950775,37.102488345056706,33.75626437251867,35.8174083767551,32.09892716677764,29.721092897183542,32.64259132584874,32.91194720796858,28.11247169548227,29.142487216951817,31.79266396205019,29.76122599861993,25.893732334902435,28.611653735394352,29.595859002978376,25.07212897540872,25.31408669097433,29.756059451864683,31.53810519632644,33.76205141368264,37.86668778331185,36.32594869723497,37.73676938193525,42.437038504469164,43.2235199629107,46.869134783664926,46.51704871592561,44.560167025579936,45.84648984176973,42.661840413984656,47.5402101230643,47.84616247565406,42.55263791178632,44.49036782193365,49.28857887475796,46.49335547435694,43.92324539667908,47.06032686732356,49.05125818559421,45.203852174476886,43.30632443675999,39.67077090128664,39.13848972193169,41.192688540870336,39.04249932868477,38.842342666555616,39.61955320117508,36.01766376266093,34.766498778872645,35.35452562020476,33.10102456861666,29.65412248752966,30.552112505938457,29.911050360411068,26.772438510638867,26.755158088229503,31.055836662949755,29.17982508013565,25.301561650571735,29.615249793969987,33.02745364739712,34.03033622563285,36.34004902193936,35.60730985498944,40.11344515033333,39.473286898647245,35.283665401039315,38.94259061528229,41.58125062494741,39.216425456459646,38.645175704227654,44.398054817329175,44.51311541302548,40.32623340296447,42.55426868912168,47.2444426592249,46.55221669000666,43.37146514389867,39.27041431528385,44.105058144849735,40.94592760356935,39.65412489061151,34.990565842739855,32.76811245657501,28.027658116669908,30.791823973767123,32.47366243233562,36.33335518612576,35.85382096840041,34.94276741809688,30.311595484134635,31.53716483114997,27.24162799129425,24.864608507673246,24.968541773762883,25.423297443362035,22.261113187320785,21.02687497641544,21.8979594305052,19.765895094306238,16.299153255936,17.51271062666076,19.348812847546142,17.25907961876546,17.412579186932508,18.60864849298193,19.464950732967164],[18.56126434988907,18.9606683977731,19.91624283240745,19.13076297411214,20.608822920699627,13.88525712257968,13.927886716437515,12.110853581456569,9.666456395845358,13.57777495898245,13.003405757863428,12.098101821541592,16.836364794012212,16.73105691712202,18.742396697690033,20.298668096438167,22.35340526793237,26.42543459438091,30.883626064209984,32.599306778405555,36.648678325379436,40.22669329837962,41.956138384562436,42.508572679795535,39.13381361404886,35.24668107683359,32.85608385191056,28.536243386285626,26.703573062350035,24.016792556029404,25.23789399749314,23.275780349795493,24.896046179235245,29.59628402016737,28.891373966531106,29.275141355853844,27.779431904274517,31.498477572547117,32.83618549557695,38.31390734860229,37.025969138116224,37.009488318033036,41.2195301115875,42.111802011978476,43.921048702444054,43.75684233977622,47.94446498537563,46.55724122935139,42.675701547724884,47.822194683148794,49.618990342891465,49.712432722676446,49.85336361823316,43.6195244065616,45.236796773345105,48.480279031350946,46.759316901547066,42.533303280916904,45.388595525036735,49.089493753806465,44.96810813437521,44.18800831045437,41.20026706294134,44.470094400576706,43.26276421615821,38.891693048601915,36.763244184523224,32.4610418140177,31.361775042608294,27.452606869472685,28.217753528994653,30.24841652990826,30.26378042868823,34.50581193389518,31.86412813242323,37.119885665465716,36.81598180526752,37.73193361923064,37.561147086568454,39.81917133675976,37.2909675092136,39.5915134655827,36.77428953108002,37.226980722562246,35.64342934990121,32.61789678986844,34.72305000560583,32.91758209259665,33.65459234792323,33.8778885691096,32.121445250235055,34.216244596733276,30.114415573791266,26.847127743389553,22.806032227942186,21.96560830189987,18.55580681379531,19.53661115594196,16.600347932580043,15.697055390277532,20.64146000052236,20.12349891591769,24.26331576783991,23.6892447330498,29.342664102020656,25.947227864749493,28.829359678435246,30.25305603714154,26.997126959757413,24.37118608466616,21.066798026810805,21.556399031024466,17.52652721183303,20.79753377524101,19.84833986338398,22.98013784241589,25.057913374294817,28.29128249099153,30.559818302123695,26.352187802053635,24.94557810175197,21.637138402871965,23.13460362491542,20.619846778797772,17.737845982240284,21.692765382408155,19.14682141100019,23.03142205259722,25.36665961600188,28.307460226344645,30.914846891595094,33.878183309866394,35.60245372379977,33.669650991638655,32.59206158623158,28.769174539876015,29.609665450318758,28.301757902724137,27.646443173115816,28.53886181194797,32.10069543569092,35.521843010461616,32.604073618864405,29.916504959955102,31.37687410676062,27.51554139836175,25.646222312995498,22.348838420070397,21.152824801259104,16.686053995752328,16.51631812613863,11.99820102726642,14.60865131998379,10.160060153910495,11.646591355872225,14.959040361266993,15.635237862103214,18.081614271764366,20.15661504624627,22.70081738116582,26.011227528023078,27.738737656793404,29.940926701244127,32.75110486676852,35.43577931474267,35.89392489716868,37.63447255290056,40.72838464516185,38.60751369977381,35.19762027550712,34.13620023246193,31.500157597166577,32.45756040778812,31.691672186773395,30.481060260621355,29.202648094197574,26.541046591545545,30.68312844355856,32.77388330776632,33.745902670382634,35.26545097299905,30.74999565781756,36.47833290435897,39.85300259734669,37.896244067585314,40.10622056725224,38.59266842244163,43.80804606116458,42.85599175251772,44.805360881367,45.779196470480564,42.58216829910556,42.3732745247943,40.11195124739284,40.02924170340343,40.516854666267456,36.118666153649684,36.15773688506267,34.04176370856529,30.535563572659512,32.69452711323749,28.885712348124443,26.57712894605812,29.778327603342056,30.028045291046137,25.271902692262184,26.657933240340753,29.3173375292188,27.225828740747648,23.646762205222362,26.607132986158994,27.661842554053084,23.220960877726036,23.77669851100056,28.336375213500204,29.908528741134443,32.11342431695736,36.0420190284886,34.2100364001193,35.65441595135141,40.15534030703222,41.06699945822483,44.44271316647722,43.90357881426731,41.76238635059444,42.87178477328253,39.528052695098715,44.36816331556324,44.85267229497495,39.53193993909705,41.28591263918285,46.17025177204017,43.507419528641066,40.826408600650765,43.862207999617965,46.06642155480214,42.33758291658986,40.23093284460976,36.656337206912795,35.81948230836303,37.86726444371709,35.801650444794035,35.47644854468612,36.36163467360861,32.6222579589524,31.431123880075045,32.24770869041678,29.929040210560633,26.3808788547001,27.538434300665504,27.079212304630193,23.99325378882978,24.09640259026937,28.539088901534758,26.87454342014754,23.188096111416996,27.524110605675464,30.922824571305657,31.758456161433323,33.80568110568481,32.791144858884195,37.29758505344085,36.96723173877508,32.70822185791274,36.1119917595933,38.96759429440171,36.74991988558312,35.940570344076754,41.666065110600336,42.08208822723438,37.90758835169823,39.869789005324726,44.64941892947733,44.21971136555281,41.08182731915229,37.136310143765975,42.13253197484008,39.216270626882185,37.971449483191364,33.3317513564472,30.77705175578388,26.158089557380073,29.185626145322132,30.54685939843222,34.353357063541225,33.57660880538624,32.41272544127414,27.65109695377073,28.544813833291542,24.320076590807012,22.004869766013535,21.69492283197664,22.24467132483894,18.8789514699511,17.855852700072965,19.12144469044343,16.910199697806355,13.139961732433079,15.151466825864585,17.171147571861,15.198588252316904,15.300602604751273,16.481997012564197,17.413329099520148],[18.22828236251814,18.009526905138046,18.418260111420523,16.87579708644877,17.98669709453637,11.485207188192433,10.879405090755725,9.526772281485268,6.327407263258917,10.184676281495829,10.093076822603338,9.988687336921785,13.968196987369973,13.60546030883313,16.254135284150813,17.828352688953274,19.34682716784925,23.59834332099447,27.862967533625863,29.65486251748184,33.675187294805056,37.286281287578255,38.90963637238353,39.30672707016504,35.905352030480074,32.00310493302596,29.6271608518231,25.314180701933143,23.78358279173299,21.407941314953952,23.080851631856817,21.343940193510647,23.4835406993432,28.023664239036368,26.938780768656013,26.876302026830434,25.484901174868607,28.721941895090783,29.85497130079571,35.47976032705454,33.870970827541484,33.95428018824643,38.23977856361594,38.95847451439554,40.61816770705778,40.37062445188157,44.57555739298054,43.3381382881805,39.443080993689385,44.55199702209415,46.49073666806316,46.68985933940241,46.903575935829615,40.65751439958155,42.499044888637734,45.785899634236145,43.89859295560679,39.798607806383046,42.8820507101097,46.3935791931203,42.2524629134521,41.7308538006376,38.910938786539354,41.992240133174974,40.57574506629161,36.24994992170002,34.05005586193061,29.86376506844539,28.6074464080104,24.91242643977966,25.530094194335813,27.798466520459645,27.9767069362991,32.07320156766026,29.60992418912226,35.12542018558753,34.572755401772326,35.85194230103195,35.47718041035696,37.54122259867692,35.08504787647052,37.21043610797451,34.5880666815685,34.82367287856815,32.9328462000058,30.072215610943278,32.130421457995055,30.74204519128715,31.279557806613898,32.059786613302066,30.170497792508048,32.53327793462889,28.505372122047707,25.4334121668804,21.09010455724507,20.641866606543495,16.822779264710768,18.167827055874533,15.209692583859967,15.295395173810084,19.294497593580076,18.970420075240565,22.51154999195167,21.99165396340832,27.3589212644556,23.867687519208882,27.061190745530713,28.22469733288322,24.980104898315847,22.50111827204243,18.89244802300998,18.862053446375697,14.548573066206073,17.502188371277164,16.424125102307197,19.43818418310226,21.625719035539266,24.75745927054217,27.2311666834403,23.16087602289325,21.620173907878424,18.23111390099658,19.551136636113203,17.007360117580234,14.176860938463516,18.309765472305,16.31001606987055,20.134261408532677,22.758638096282805,25.80814981268485,28.350681694486184,31.54086381848574,32.951231422179795,31.194173436161652,29.728754228209645,25.748105926223325,26.5883263288808,24.97592739086148,24.147902393716514,25.05230352809193,28.508938494432066,31.975660366993775,29.136789357771104,26.466092641274393,28.076386510440454,24.360000312088314,22.354834996173285,19.27438819124563,18.304456362600718,13.872979656735632,14.415456527248214,10.334105344160596,14.084363634959457,11.042989641175003,11.72862404392815,14.164191412175587,13.89001562932961,16.33103903083458,17.906802751195098,20.329234649247955,23.10312111605545,24.833241832832304,26.684605627923375,29.70426095837343,32.26082916632379,32.514550598832884,34.41617656222576,37.41757424955583,35.384503040763704,31.874952674653944,30.94050773602755,28.2203689035869,29.388760409960348,28.825364875150335,27.80223992236312,26.88817963021713,24.190786165618192,28.722233343786453,30.378739411079167,31.47777220629814,32.59354054670592,28.257771138476873,33.926216859241656,37.195452769820534,35.0462802577618,37.18005093755772,35.574999352243026,40.754946443630786,39.56455552994202,41.631830553221306,42.618499977420534,39.52923324651721,39.38665658429427,37.21785038778177,37.30438056200117,37.9415051431375,33.54112506001785,33.895040612245914,31.92975275300399,28.59603922898208,31.16060658161287,27.59515517561189,24.91611508208066,28.1878917872357,28.94173868041211,24.17847829166111,25.05367880909939,28.19249254700539,26.7279833354131,22.769082017317466,25.708385208801488,27.257222227887205,23.00639505008041,23.098157683811728,27.84020467448733,29.02893953330821,31.780181729944474,34.96152016298707,33.244651159858,35.07623705400736,39.473126961052245,40.82672317003433,43.85441764797878,43.471621997995705,41.09985749129897,42.21594006532347,38.73418422985677,43.434321639915716,43.89060543865686,38.30403723724377,40.00081944849583,44.79083031264076,41.98155890600423,39.14720902248458,42.05601627629403,44.20302485877081,40.44351515878513,38.0438036303332,34.77098196710171,34.04904908073409,36.36631364490723,34.69108093124215,34.58380879720207,35.94701128349285,32.07112845149105,30.523722150654713,31.907589080809633,29.876066742483182,25.908384375390526,27.071691583543345,27.244652480172803,24.305355113517866,23.985388870727366,28.73289877517301,27.524237055765404,23.735292678461875,27.756456822703246,31.329583454663275,31.745048304799003,33.74738946114816,32.42869551561735,36.87932789484434,36.64563191593747,32.00840931346154,35.24855050369258,38.13819608055031,35.84004349652066,34.62785263791891,40.4659447870761,40.8871027127188,36.43760156240222,38.199896319025996,43.15805436728632,42.70173085671939,39.3900231632363,35.37303693323761,40.37162266396092,37.38989703578709,36.55498232473335,31.695431358296315,29.256919636904872,24.619215827827848,27.31773465847128,28.507515481079388,32.241568361735034,31.326425432272533,30.463596891286045,25.43222524494649,26.353663361037135,21.827596777225725,20.0899255658842,20.216961161948582,21.35670482341652,18.09004067526863,16.342110321707793,18.25252945237435,16.7639068364065,12.082839088042629,14.099352338022118,17.05608678654495,15.913535959453364,16.222484577578992,17.559699139520944,18.481199271338486],[14.689098916459544,14.05635975497007,13.990109306385772,13.323956024593876,14.208071905445214,7.4725450827763,8.089873958388113,7.104678875653375,6.469215674800706,11.19725803669267,12.502821378817556,12.240397523837593,15.168778903542757,15.628847055837387,18.818930149840096,19.7646312208343,20.714546595965636,25.324105806226616,29.51319412909381,30.876705549348166,35.01293683155985,38.32032746453016,40.089602331506256,40.20374526240956,36.59014450576573,32.93717514005178,30.164434375861603,25.96549942617618,24.789856623213467,22.384050846748337,25.333179372890672,22.84913166013005,25.515611204226424,30.080704342915897,28.42121328682526,28.241972762960696,26.186431288937406,29.236529817750807,29.923132934181297,35.185192722550234,33.66517282739088,34.45648234325589,38.679825701600585,39.029626365656455,40.66296180132317,39.972620315317755,44.2239380771019,43.1713404892952,38.8557593219011,43.665505968884574,45.837916957690624,45.91928676068109,46.5046668278293,40.24709275845199,41.97809912692815,45.69690380533757,44.05683643959017,40.02764978878953,43.25509068611395,46.843237902882215,43.11394192738303,43.02650006883553,40.49192642355452,43.710712069528455,41.947494908671906,37.57276760531228,35.91049797328668,31.85023249795031,30.876920489957303,27.573314439059576,28.223466448247503,30.89876975084926,31.012117475737554,34.747217717558186,32.13605947986922,37.68928089350071,36.50359135541025,37.88478111160274,36.99120986434093,38.568670830058004,35.698785146445786,37.35706916716568,34.34714265100114,34.13618428348847,32.28512423480075,29.930413684371413,32.6105710348045,31.384874861015607,32.562729330425434,33.79485689222909,32.34301908803905,35.21745823727507,31.33831969053402,28.23589671555991,23.837271588553055,24.00488944290574,20.14209049572241,20.65107846783679,17.246957829957964,16.68127705944417,20.220156132810192,18.479011751673877,22.21613956015785,20.452740016297806,25.37031621168366,21.315577899015103,24.013624894429935,24.836916973524655,21.2300569734451,19.12820397799121,15.316099366365679,16.26901458068992,12.430226245732385,15.971495489837416,16.324310064607637,19.227146308372248,22.11643475058744,25.051960117444185,28.43235967576335,24.637400837540543,23.093254049734018,19.51304815541161,19.957643261515635,16.81152216504121,13.231538914815557,16.352525461041196,13.013039395725638,17.14976288997371,19.390327459911244,22.79543000503644,24.857306567235778,28.030355907094563,29.828127931966517,28.36944780610788,26.95015679032986,23.2404458673424,23.543135218531376,22.738636788301815,22.524356884133397,23.819612387910265,27.819429616641205,31.530716876629786,29.100397598424586,26.07626918802663,27.750631921340204,24.361511716566373,22.020167214390817,18.866793502779743,17.149725902484867,12.799615459506766,12.324563145501124,9.218841708983296,12.760104323792449,10.846877688841007,12.628267610071733,14.300042812744886,14.118310175847258,15.271710398653854,17.652083603714534,18.685799315421793,21.599834821771083,24.251463395067358,25.70100812642398,28.86603163519836,30.7950900854146,30.95751579615291,32.29196344624916,35.27628919207584,32.83694620007481,29.604602426351075,28.506088412799617,26.26641145486121,27.570749032303123,27.211001966871102,26.592895946085502,25.674446934528675,23.760371240087114,28.105896065935713,29.553190001877574,30.182721456287346,31.039949573109258,26.160773407413995,31.62426348729322,34.879198610759424,32.923872112278175,35.70855431183492,34.640026386054906,39.59269557909244,38.40730353753939,40.0499834242105,40.66851374969258,37.47184878723714,36.85591140261563,34.39620362735835,34.169460709107575,34.43569919148926,29.912245252666196,29.972555124829352,27.718386067295523,24.41239011274383,26.672050570889134,23.13923587116483,20.484411442326223,23.568992543905996,24.22567579821759,19.438582675375134,20.425804407880197,23.433153822686165,21.982513360333183,18.050198907601075,21.079768320175877,22.645872912702494,18.50075928144326,18.773390700596316,23.52419419327388,24.59818288257855,27.282294481805124,30.421204624012898,28.550153679232377,30.367270664463557,34.70885871826852,36.13195871518905,39.08321867940656,38.74345543621522,36.38559691990735,37.60288239761635,34.22910644878344,38.951506655575535,39.25050537399453,33.68494959431089,35.547891418345635,40.27626551032055,37.4120278561458,34.7028198952304,37.77153258978839,39.78692945385297,35.99058876646892,33.91423313923349,30.370953620387525,29.902319621807308,32.11448793324286,30.26839566674288,30.40586680513835,31.78448987551881,28.145151264271394,26.27887468080829,27.544041247278752,25.836993577410112,21.734541753356382,22.541627710732577,22.92537825006194,20.067362540418078,19.40084714051938,24.246204151519933,23.291141167229945,19.44732289324414,23.262218320186797,26.894337880065784,27.117857454370178,29.126313693310273,27.79876817768829,32.23011530923105,31.9259918945776,27.232907785538437,30.520350269898678,33.36018344503057,31.059540842206772,29.90533673466605,35.73223824206362,36.14714854949452,31.77510821800966,33.59705922336456,38.489974653792274,38.077977679092804,34.85430531178582,30.93737801826379,36.0116543810284,33.22670601381032,32.211664293245235,27.49561091146556,24.789142142793793,20.261787036521753,23.33449007425769,24.386809685326988,28.125611776125677,27.17099491146136,26.011534875155615,21.165011750549336,22.15840547626843,17.918407056987427,15.611544680551118,15.873114895290534,16.864811856117697,14.003584109884686,11.871108237065705,13.490211049740699,12.296088150719223,7.58245159456467,9.410211181527382,12.55184934791799,11.967866857574649,12.508939973268824,14.137004636685283,15.411590270112093],[14.510307833499962,13.26171005724216,12.82198620553817,10.78497860291898,11.74868712699622,5.394815878927256,5.535327589830934,6.657847103690429,5.432342726150286,9.433312915397977,11.58594912943559,12.520337423321816,14.148143094499336,13.974231569620116,17.96863768240555,19.021536979504873,19.12000664462501,23.827156199254823,27.555483252442983,29.14491923012126,33.13589038244646,36.52526030805008,38.04827499461781,37.90953449259495,34.320499999218946,30.63001980903252,27.99438089018578,23.86928563749425,23.264908445593587,21.44362517187393,24.748520734567546,22.765670507517225,25.875059867141147,30.14874485224615,28.165604396611535,27.40901783519275,25.618872657560626,27.90445537756922,28.25890075706758,33.713807147972396,31.644134977551726,32.57395173464442,36.89288208833187,36.9550686276378,38.28066180865012,37.428051723780406,41.69734380572537,40.95765845722239,36.642437490753906,41.3436641345257,43.78814256223753,44.06247242361729,44.76287839631198,38.52441608501948,40.60567354740728,44.35973778423515,42.45607891695073,38.64959063365912,42.18211380182035,45.45560460414089,41.67505078395982,41.9079340461387,39.5854014776932,42.46686474129808,40.47396378222499,36.22864419491504,34.34699407374803,30.51652566504251,29.192062374976437,26.20581183188061,26.52499880164372,29.317912167760944,29.79690671562619,33.379401801002714,31.163407723484998,36.975204758412396,35.636438827935265,37.45933168276948,36.417229193886456,37.789712826433934,35.09674469286225,36.528946640267534,33.83548421938924,33.32160689349929,31.035725918757063,28.96989278388987,31.514509852514863,30.88248943825518,31.693934864522795,33.56543315325427,31.881212501488296,34.90849707925303,31.145395868485195,28.349032244049504,23.741168733498444,24.16079646449796,20.00739959954618,21.127512319644936,17.940596323784362,18.40340465804894,20.962509268722595,19.563757446921166,22.489038809590873,20.79553612214583,25.166942296709877,20.95649260295911,23.926239662075155,24.24547667449726,20.554955124287073,18.90491447956228,14.59636913080716,14.946013103588447,10.756945493476067,13.62731619977446,13.995490833542798,16.430681983069654,19.61131001051539,22.168080383775695,25.902382193830626,22.48374908241137,20.610218042174978,17.000079142038725,16.839622532617046,13.668065111319272,10.06446713747248,13.424004632847467,10.875085873398673,15.124534678448173,17.810512589419062,21.580176916747803,23.251325693191166,26.836555459670794,28.223681208214295,27.205052057891386,25.08237051403382,21.14992163999051,21.08329333464008,19.898616247378435,19.367125069216648,20.955687937956007,24.6627908832009,28.583563328839542,26.41810561842026,23.46607839883118,25.490968582312597,22.461500425537142,19.862027483322098,17.234238153241016,15.897826297128319,11.820450336089133,12.39488411249373,10.35502632139928,14.759330277949832,13.910109980487134,14.97929598464567,15.92426558028029,14.758322543858016,15.795167652227853,17.434881776133707,18.11973672101208,20.067828269838067,22.795605036647583,23.499942400544345,27.07249478438586,28.65501086118544,28.314586296619442,29.870018726528574,32.59699224413264,30.178161707566726,26.795308877098673,25.999745155459145,23.758697563849406,25.591466098391756,25.66493415302872,25.428498681146234,25.082942250223585,23.198845157361745,27.980906178854784,28.807434648509187,29.58274635843613,29.796238378307194,25.173094497064383,30.441950346021017,33.497375008058114,31.263054081667896,34.01114043409313,32.84175396283935,37.68182374756289,36.03033910122054,37.84809549596143,38.414338622498,35.42038159141665,34.794859909596816,32.419457910784494,32.3954347409078,32.75580773658787,28.15317510215761,28.644508976556295,26.430787179354926,23.531564934857933,26.161877503141806,23.09041186176167,19.932480547247238,22.786511465022148,24.11528532096869,19.380466725073727,19.347868142030407,22.95588425530885,22.42279758666656,17.847954696688436,20.614320560789476,22.774607958745502,18.93236534562364,18.3658621847386,23.20671019079432,23.877829191917467,27.25763441830065,29.50389996328236,27.9759100108643,30.256193629716886,34.55488791966221,36.448631849351884,39.11474166820687,39.104088771592274,36.6103369146671,37.96572925636568,34.58488041740299,39.12116958907849,39.22876722376506,33.39642999958197,35.33722439848322,39.83819460237972,36.699079003399575,33.916895661895936,36.91121714328202,38.65818828736621,34.743571887782814,32.519815173928144,29.29020082782383,29.271381991336742,31.79148539456902,30.366938419517332,30.912947884237738,32.78010397637327,29.168065179083847,26.797297430168076,28.55371509137076,27.319054802021796,22.864554637711873,23.40451497592226,24.45221847424441,21.818743402208394,20.524581211735633,25.534145285807035,25.031766417902407,21.027161004052342,24.322452609108332,28.119176048578215,27.909031993015535,30.013862653187445,28.52676245474897,32.82388785963342,32.41585278036487,27.340774682831015,30.570754220859655,33.260131891279265,30.77128125689197,29.28501646255931,35.23207292581599,35.436699474862365,30.7335222685104,32.48902260546181,37.51351754594439,36.892899987505864,33.43906804250709,29.34351346472918,34.313471669173424,31.314381738840954,30.77962110964185,25.787341578654104,23.438274761317107,18.84043848002131,21.30882078014658,22.32679450062605,26.010231533205104,25.078536442315848,24.473942326245762,19.413657837682262,20.7518288317134,16.113715011119215,14.520745524564441,15.853189418966712,17.503114071191476,15.167417585693833,11.878704040813245,13.917760624463533,13.896134970806674,8.726658276803237,9.463301613962711,13.620432275538429,14.092275772621967,14.934059765747318,16.66767347603348,17.87190197103894],[16.14085570122324,14.266906206118307,13.182704668296234,9.637940478805918,10.038555457783986,5.680375801431783,4.233160004737779,7.540344827850582,6.1135186216498605,8.097303232350667,11.1158879010605,13.173982356068917,13.153966038057641,12.375304282146145,17.064658197942467,18.104804691693815,17.20902765863514,21.911025821201424,25.07769872316968,26.83710549712988,30.63856135163529,34.05949140959284,35.333373144601985,34.93457458535105,31.380723547849193,27.697169528323876,25.20935444762735,21.22936701744849,21.276451956221692,20.150482114353704,23.834389282931603,22.390648450410644,25.92153785198424,29.795568197595962,27.467396219196814,26.0974680017449,24.611988305123376,26.014579655860523,26.002296421895092,31.604503770783058,28.97214495294835,30.036988179116943,34.41672564982979,34.182937439661416,35.19415924588346,34.196076452615635,38.465394026577805,38.02625857405897,33.74865522601619,38.334983970915076,41.02389311983687,41.49879874877691,42.296092449245066,36.113876126113766,38.54980196005862,42.29974688816176,40.13069687246812,36.58431513661579,40.4073792993925,43.33018249709127,39.52738574344128,40.10629422473941,38.0396013662643,40.55690593297785,38.321540105926005,34.2450893112036,32.2000290995477,28.66756523629348,27.044930642134705,24.49748950765467,24.49409072481375,27.444956128222586,28.24087269738637,31.54977770187144,29.74109282133217,35.74520596433905,34.19836558664969,36.47270744062309,35.2521273345342,36.372725693893315,33.89203034413087,35.069007721764336,32.75888611768065,31.942085649665618,29.211338066435893,27.470560531436128,29.824282580168884,29.844088199495886,30.26542179755682,32.817052381370814,30.942761786084127,34.13996996573048,30.574493619502203,28.150069067160388,23.429678402260866,24.19071236625832,19.87581482473024,21.478643105736676,18.616624326926573,20.082699569869476,21.512778610828782,20.535659478751477,22.490683632861654,21.00036312607029,24.705684251787265,20.520991148835265,23.79201599875493,23.64078325123145,20.072619580957916,18.85674355040803,14.298783357371832,13.71131469516481,9.367615864920827,11.063344153894633,11.367802210863506,13.146164237540294,16.607615311492843,18.71715558230193,22.832571588416805,19.881663447331977,17.722036802404567,14.159077547132215,13.259538231417496,10.061242817875419,6.527471479171676,10.207211377359428,9.213296079974445,13.163675638918136,16.339534885182164,20.279372704600092,21.627443993436707,25.571654968110032,26.399084865723392,25.792630598487882,22.947154970206995,18.79221875392427,18.493510780402932,16.712305453378153,15.74880781474232,17.56531076550014,20.925145201027902,25.012525225392235,23.11241563688236,20.266825597908756,22.63744590155243,20.0503112153379,17.223269962090203,15.295979478453814,14.507909096508007,11.062270908647964,12.831801225047315,11.985542648881415,16.88952061935434,17.05637683736122,17.408880772831303,17.587311336302683,15.494376219640229,16.37705160003692,17.09886927397694,17.444798900211513,18.212709705325697,20.887225261465893,20.769085738204467,24.7229896414701,25.966730803074164,25.122438926147385,26.974660285640837,29.44047203387853,27.145551478269883,23.579859266398216,23.11813665426394,20.80587968714587,23.155801327135805,23.675183864070824,23.825224492356817,24.11978989275954,22.27074800244358,27.430696664055823,27.574887628715228,28.530944835127997,28.064301598643333,23.866751997239973,28.865045178516095,31.673769697817832,29.137610413446357,31.737430908818098,30.425992957238233,35.12787616666707,33.013468897135866,35.03925634356602,35.601161279384435,32.84355360947867,32.29676829493447,30.089622882707584,30.3486165501803,30.909930052536577,26.33310905983515,27.357785378516553,25.367718138395755,22.919779461220443,26.033400419561218,23.4908581441385,19.904015171712384,22.59752006241264,24.64104485677413,20.141594582373422,19.151061477917978,23.330994284590204,23.739846678970373,18.82745903294299,21.289561074194243,24.011193296776412,20.630565826760137,19.363179402832383,24.13711901167038,24.291672968783523,28.310584204872146,29.48782041001743,28.267958464684888,31.010585479913203,35.11655519489252,37.512949365281614,39.752629880429915,40.000454797122224,37.30973652503556,38.698240912216015,35.25778688852188,39.525361769285944,39.53761777787242,33.46735911422994,35.34943559905215,39.606294781011364,36.26614983779602,33.354949185636414,36.15034592109893,37.70552916171913,33.75859706719765,31.2134156045441,28.48742731045445,28.776401130492527,31.625338866798575,30.75883285354526,31.625845206410265,34.01984644620857,30.381894069137864,27.619032153252483,29.97292158236704,29.13951259921056,24.409564450630608,24.855464172191095,26.563410046950878,24.205819712536766,22.479397118934557,27.557721201531027,27.526234913578477,23.557040504867054,26.333633729677107,30.187403076645246,29.530152587640394,31.580525254190455,29.840653662770162,33.93570377169114,33.573908576942,28.178093114952954,31.159800464303014,33.75472396440967,31.172535922848166,29.22877494945277,35.204009818663636,35.313748416701074,30.30436367527402,31.8150637065026,36.97984700035948,36.24234899380462,32.573317261828045,28.393099572948515,33.21989374893651,30.087720981241986,30.182847296776178,24.96542937126487,22.998270337570666,18.541440236135735,20.22389395728172,21.02345422279782,24.507985573891368,23.474305671720263,23.49773371519001,18.211418033690343,19.717322588474673,14.722828065154964,14.314430736051301,16.501411363365776,18.834651038961166,16.94320832548633,12.915899572794448,15.49670313551264,16.438650374938074,11.14641610128555,11.353880001688426,16.044439299300944,17.2854108493305,18.26734319460288,19.963511565546675,21.039338814215412],[12.156263242878266,10.170270938804187,9.989120503929447,5.514147102369241,8.935623100685275,5.862983905934609,7.673322383519899,11.51309881896193,10.947173158452891,13.218293998221558,16.116429836630434,18.159788155320243,18.30097734320172,17.2325413622955,22.08307357585205,23.234420888300217,22.048376835705447,26.683411665801533,29.41235815084718,31.318811087046306,34.93582087419576,38.32924199550775,39.378035233639224,38.658618754942005,35.16361548270078,31.567215397828537,29.21955379404546,25.471329672161897,26.001540691481836,25.135986860573293,28.93597751258421,27.537540913231577,31.082984676328973,34.9662310042448,32.57288968352799,31.078925203301523,29.539307029163904,30.60632334767207,30.241055882590334,35.66486422036085,32.73337071237848,34.17596593201841,38.52771773147083,37.905654830610224,38.55701015123879,37.15740346722493,41.39236445587896,41.42812544018935,37.00138554909912,41.18197220385548,44.26570995878678,44.8314171281479,45.93480766124549,39.85573031368488,42.422471697698064,46.37808730196251,44.180226156382005,40.85360299891358,44.84976219187145,47.599505645293355,43.94358950779777,44.80164822509175,42.89852273621412,45.23121018809542,42.83337519244164,38.881522114614874,36.74634296431711,33.416161182042316,31.50595400146136,29.144989658728576,28.81880407230325,31.61256357065995,32.81533984658869,36.11749756286662,34.62080950889304,40.697084391625545,39.13277270869852,41.545509033970234,40.24313248917566,41.19161916341674,38.668525516334256,39.58693709063808,37.21591522669126,36.075641765132424,33.246245351930824,31.931139962141206,34.44136253188289,34.698833209182084,35.17070967213642,37.926908412817376,36.03591874136881,39.21838067114003,35.66119054173801,33.27635037713857,28.54575040817393,29.158294591793226,24.807222764614945,26.585690032692188,23.656715207978383,24.692946215622587,26.460104063255717,24.935035099553918,27.11872651867121,24.953710166651398,28.196883673427834,23.586894258488755,26.230665762857925,25.469288320003447,21.412867129651193,21.043587289377392,16.277310273401902,16.76079909014012,13.184224862005395,14.682203176595248,15.80125911728033,16.803175838392754,20.59422598889627,21.965251745378318,26.55062080959836,24.167763631967986,21.65271021583625,18.264419769312205,16.36996220403113,13.42017821766232,10.210643393042638,12.620168261625905,10.91275913710046,15.107144878854948,17.86286239204292,22.44432461244968,22.607836025033805,26.77521788474654,27.850798408614658,28.027380922991828,24.765012621983225,20.936352516487165,19.21345825273505,18.188350489093985,17.392484717037235,20.102926964120186,23.083636625737572,27.57713602143281,26.383928856622344,23.60771224837572,26.315883106104998,24.299407479268957,21.260017934968253,19.769373798053525,18.775167267752472,15.653992997008679,16.7052850938608,16.15016274089047,20.53701645483318,20.263310603727955,21.482370760128948,21.983341567546763,20.284198442815168,20.702134238732974,21.859943857191706,21.398213362089518,21.88980970451237,25.098046101906803,24.192742798843625,28.432624819907463,28.85657432076639,27.33115711993901,28.822174031438927,30.78557536776479,28.014744334371578,24.700466325668103,24.5757624475638,22.986089504618292,25.987105686142346,27.011540247218374,27.678046100771855,28.15039046943845,26.80989343455856,31.82828324021313,31.735075047860285,32.39956826427914,31.49408841179665,27.061694069068796,31.609176133288738,34.20976033708644,31.737647564748983,34.85511517107702,33.90445504081502,38.24356367932549,35.699482297555846,37.517160653661634,37.64264317154403,35.05633690438619,33.94954821023321,31.492642004615412,31.49809100247355,31.503895561099853,26.687982260691197,27.562556704752705,24.904219101889495,23.0569274457772,25.482233300193506,23.379243127697887,19.727445530139697,21.287264412744506,23.388285968159753,18.933851164142702,16.849631290626196,20.98354360195998,21.89931227178602,16.221393277793233,18.06724431476465,20.951345441403067,17.7397361550026,15.561015313347584,20.18639920266936,20.38680415870114,24.745702591455675,25.787229838605718,25.12487453389819,27.976626472383973,32.375020375681,34.79514220002082,37.33434514212339,38.10651366163928,35.76892806456131,37.65660696976539,34.709109909028896,38.97709915904087,38.38421337917114,32.405840685912914,34.87968456807607,38.76446876198873,35.04457916250917,32.56965685497302,35.73702431340004,36.56680132050712,32.33107058100667,30.726705978871045,27.607206465986184,29.025129192223893,31.726456047253688,30.56111701848449,32.04709940385081,34.28836724762222,31.262037624943545,27.995799823356638,29.782937597575277,29.5528525884458,24.929726709700006,24.372109398342758,26.08578025791786,23.825392016590477,21.358289319320292,26.217022385702975,26.2487563832128,21.89004565974658,24.131043250844016,28.104805689258633,27.355789985778078,29.921626608182088,28.689290517991896,32.660058973020476,31.578848417680486,26.176753363128004,29.68841144378457,31.690795794652153,28.75664634946757,27.30911497374963,33.2986272503418,32.70130405787651,27.67378248543944,29.830230881139872,34.70954738785326,33.411083974910554,29.693664705343732,25.23275627046878,29.791888560603475,26.29676154324175,26.229107153273212,20.95618798161141,19.524497672619013,14.84437476632662,16.139838140453968,17.57030773074749,21.228213056179595,20.904928489072084,21.319030535239627,16.729533229123266,19.302366204720062,14.794722857807306,13.553421601791419,17.099863901235647,18.96533574114437,18.153950816409242,13.50703547996666,14.559261095023512,16.254105921421893,12.178695787058658,9.767765863595502,14.301079665158976,16.25925553541717,17.608787319468227,19.499601941098618,20.707277723398867],[17.087389773822753,14.733951997882748,13.850380198421671,8.11078572978544,10.090476657770626,10.548780046066481,10.536771553999385,14.985777691707133,14.020664506877685,14.222619061263332,17.406086218463148,20.453265648668193,18.972498798221118,17.082558164647374,22.31554330515236,23.49382329331808,21.101957784891987,25.33227414825916,26.972008309191644,29.1952536349477,32.31977866798029,35.72782794128629,36.26895109561988,35.12943646274473,31.845918732615075,28.337395956048375,26.461851502968816,23.18029594181542,24.717763381199074,24.932270393684203,28.849765550550085,28.33932771640069,32.21537437147298,35.475619828138434,32.77962399137016,30.50190619063558,29.55195467989,29.31529990319936,28.437050334329783,33.93844896298436,30.135095009790835,31.670311687666718,36.00247874614921,34.92011137623735,34.95671347143882,33.34942601784482,37.47984842708542,38.08705128886488,33.886300819093705,37.765578325105785,41.226828917028364,42.15820565006365,43.37063768075379,37.51903681622787,40.63188211218175,44.45217094632907,41.822600888446594,38.99164186613493,43.34563311769202,45.46678687300924,41.78042271625615,43.109584558753646,41.5936763666286,43.27628451817054,40.595027446373095,37.02578558550739,34.566723555031814,31.812078987057916,29.39509420760713,27.766143391767006,26.88452087951836,29.686063666292153,31.428049113564086,34.280570014538725,33.526726249234045,39.726165004398226,38.013905910130084,41.02465073763872,39.581665563248116,40.21479937548516,38.12765093128908,38.710012632923096,37.00909732367071,35.50762975041602,32.09331563750921,31.26360629950191,33.31675606193984,34.49790066698308,34.29345331883676,37.87835935760874,35.69002322967873,38.93716093257271,35.71591398593326,33.905196406440325,29.189321820608487,30.104790170418582,25.728622130916342,28.157505664223414,25.755879260055888,27.902220800912527,28.475306744740497,27.637082646553118,28.637859914779558,26.944324681289572,29.304248462786095,24.98357410168399,27.942681175689994,26.61433596786814,22.962333646674804,23.14063332038786,18.446783262577725,17.670814229301087,14.442103910388708,13.987638770175305,14.74868448292542,14.255899874712469,18.03566125919997,18.267465360544435,23.19105766145759,21.844659220424976,18.929771646950506,16.07319563862006,12.862349088385438,10.71947355425912,9.081009699124602,10.910341994121284,12.16023328483158,15.12275233613945,18.270422610205955,22.749383387521952,22.34801240181988,26.879064317915244,27.00113248915191,27.853560676198224,23.558875634986972,19.630300895235287,17.41124797534508,15.364411299914783,13.625315764355056,16.82861716326841,18.608151121851837,23.322175273710492,22.793838336798398,20.48132236710872,23.705279398928052,22.59129557453411,19.453407262851183,19.26066097647596,19.189466299074223,17.151227637467997,19.40433725189195,19.75555063968825,24.572941089602086,25.105722620420956,25.519647435647293,25.363891342182917,22.789466121776943,23.200581921904238,23.2105650573171,22.534119397622586,21.376540854911497,24.203744518456784,22.001106906073836,26.651149414373876,26.471560606269588,23.982027864929528,25.992733985583214,27.29667112312628,24.82067339038757,21.288460035514195,21.935692471184954,20.388386719836294,24.22307549833344,25.94616710126018,27.15163581350119,28.512265276342433,27.19282740480806,32.54288414815519,31.540358771832597,32.48682816132501,30.627948067205665,27.06452394644217,31.020875797547998,33.13861869767501,30.244000404371167,32.98016993300429,31.783315735854238,35.76195210100729,32.41631063708478,34.600958287120626,34.70890112162267,32.64571200379204,31.696855370466967,29.61249346839796,30.10941293575487,30.432401248402776,25.824504076710614,27.556264663724004,25.34022448862236,24.32198123911783,27.32443118034446,26.044276613194192,22.02359384806649,23.23519451202309,26.23731846262898,22.334287093601024,19.057406767514877,23.725428507614758,25.845338984983645,20.10725974470984,21.37562390798304,24.827894631869075,22.367908811618502,19.457096099578756,23.613886945883106,23.07127469324577,28.14973804191612,27.546426605551186,27.46909289537031,30.890528449400264,34.89632545177753,37.967018252865884,39.870125803498276,41.0139688167263,38.45849416755714,40.35988167708909,37.38790192346375,41.19595862489805,40.47182878431671,34.28869522416627,36.62274704371296,40.051120017692035,36.08972295278732,33.50065000744412,36.28505705306907,36.744383418245654,32.5418836389368,30.526150829474673,28.31819282528453,30.19982964480712,33.29665967459431,32.954310279481305,34.810090939521274,37.685255029449266,34.64385180666478,31.009754732416766,33.52485297178682,33.72352255009793,28.884753924618416,28.321452221324318,30.732950470641743,28.805212344519642,26.02769777252235,30.822378121856662,31.36246942626515,27.17668158493423,28.812944134818206,32.733153285197304,31.47234005922039,33.89729938929287,32.37138658540495,35.982566068366594,34.98565579825489,29.323244233897732,32.38296921966666,34.17492460136004,31.17870404821513,29.13336436607642,34.973562315115124,34.18815183371891,28.834713883516972,30.58137215901626,35.5223854421891,33.997332549313086,30.012874495543656,25.52153255482962,29.596539847787053,25.879850821199508,26.93985115299214,21.507924525435243,20.97469340236463,16.91973597637572,16.521416300643203,17.574297834408895,20.631134396960583,20.295792977762424,21.92310200671276,17.392777606836756,20.134658363648104,15.55799371537848,16.180127956631427,20.3922716208867,22.946443983165675,22.47617384764194,17.49785150182193,19.17460234752738,21.56127570423369,17.304751077944857,15.195576424469193,19.81236435666263,22.18143366801374,23.52132528415364,25.277553298228725,26.267219391907677],[14.314476709197955,12.443809330299539,12.91547162933169,7.333144651634273,11.750801733804247,11.60451804086346,12.983191902271392,17.25150947799313,16.238929025115198,17.343523800646757,20.22194387794587,23.049127413637564,22.425051367319586,20.427061972108568,25.60378253474837,27.023262151561358,25.016967919249126,29.293822990932252,31.042769472527844,33.418274498452384,36.54510111884702,40.03847506195707,40.52560778806355,39.38361157348388,36.16199691663431,32.60086221904081,30.810298701503307,27.472662033823184,28.844967503803865,28.829890719083238,32.4702446599108,31.874196171953372,35.55525282918969,39.05424633488163,36.55694869805945,34.486039659935834,33.47067794568542,33.54987834574878,32.7636302123005,38.24827095122574,34.51311426661433,36.03655987167373,40.37899174864155,39.298157219317254,39.277663259024486,37.60534275736206,41.70204796557577,42.42006887966809,38.198645622204864,41.96179876715749,45.50410620074797,46.42410498748625,47.699732443753945,41.856225229652594,44.913506484388044,48.790316414055454,46.199049959770754,43.3343995621625,47.65255484749617,49.834645073554384,46.12233645131275,47.357882685658865,45.73594864085571,47.45145690173623,44.854874071407146,41.260124565545894,38.65207171407317,35.80281008398932,33.23924275549627,31.369543763963954,30.41535212603282,32.96230924073011,34.87346006127155,37.99126132828533,37.27723131910772,43.50286250942649,42.02205861638293,44.91700790434236,43.61699626599442,44.391002822585286,42.243253308554735,42.90971952325943,41.037863848297356,39.576596719179605,36.28686465491748,35.39882908321564,37.542841094597925,38.511139674213595,38.38478453370846,41.71283704824164,39.468637280326874,42.54594102801432,39.16459233776589,37.19710746061987,32.44703552499191,33.016005901798124,28.601029868653242,31.16075545702463,28.604613238699738,30.27569156077899,31.589585397230067,30.475990873549453,32.05350208065133,30.066742222825674,32.663877179514024,28.096092039004077,30.697780853073578,29.31478046879114,25.323359333975784,25.666414789707233,20.8975270061659,20.96034937116035,17.742766192053715,17.951200228880804,18.814820791638894,18.583859938251493,22.305030485961584,22.545813045296335,27.293849521994808,25.88199313171317,22.855150947397508,19.970007087115796,16.993173075121735,14.96262599802103,13.04962378259163,14.929331056362892,14.944851757220194,18.374926355883186,21.16764179002244,25.910210513884845,25.114986990653083,29.600191677647913,30.12619776078515,31.160495358435316,27.001747931161592,23.295367596363374,20.550292093638014,19.18528334034857,17.737478756534692,21.104681289707862,22.776193298022616,27.53404303822099,27.142046126386212,24.864902940622837,28.08441694751862,26.88463902521536,23.751725985261494,23.291507657331962,22.925159349085213,20.46506086262517,22.13766401458955,21.98688403690682,26.5486693059056,26.31230262623393,27.34008579989659,27.747881679110915,25.650778657779828,26.113877215386704,26.65412823203275,25.979313842011905,25.31697037858746,28.350701392991688,26.28947885462096,30.913061854508385,30.613303665574147,28.044025219375918,29.784565044013682,30.914098860510997,28.163165809385433,24.880484721889015,25.558268663387995,24.365375803173873,28.231013885559104,29.943296709347887,31.14348900310878,32.27490054064937,31.019594448845652,36.26504430842335,35.51055925294761,36.30541750505487,34.592709175251485,30.702550918421352,34.654443961341116,36.8053721007941,34.05909622811802,37.07215889403925,36.04005002790013,39.95222378883593,36.57516748719681,38.61591370059734,38.52590612008583,36.46874571057565,35.2185828665056,32.94075795079068,33.17589451183216,33.086368085178975,28.3362949854986,29.71736504822812,26.973290744173916,26.108190569761458,28.434009807284525,27.17088437845742,23.324064820898144,23.86744515902952,26.537598221888775,22.57364404281727,18.979994832827995,23.270783086142636,25.299970471017065,19.187812183649825,20.012102882157937,23.271020109462228,20.752294966066778,17.340990321642103,21.273265952433157,21.074081836992878,26.134313267880042,25.93927686491094,26.29371987202669,29.557546144451898,33.913109515386566,36.72173442402523,39.11362099423903,40.561119418943065,38.40033054260677,40.65803673105384,38.07549110418524,42.01515776311123,40.90378724218771,34.92357668292913,37.7002344615089,40.979398687396525,36.845169241597496,34.64416413806303,37.774859128014,37.80070257643365,33.40966706104042,32.23756319266745,29.52891872843852,31.999681014425473,34.842423033620314,34.027044344925265,36.11022091486584,38.613567363104984,35.954426254980135,32.222787345686086,34.06665907825068,34.428908845460846,29.804904081571426,28.66750684712796,30.714050048660667,28.708188730360817,25.680175407673605,30.231691510727654,30.53389931211463,26.06162615532891,27.546819412607995,31.499274125589352,30.43531262887414,33.298351010934496,32.30645968913867,35.9188584626992,34.33415697402781,28.87092345020331,32.45840152395019,33.819358750512706,30.588883763672754,29.196100357608348,35.00407107627789,33.66384745692702,28.469240580915983,30.872555704460027,35.48208092255154,33.51226502237298,29.59907082345341,24.903885733217177,28.721701032082912,24.663331085748815,25.29572249348803,19.93128206806277,19.87833680911961,15.610692172765862,15.012714926909332,16.893657091571725,20.15244795373785,20.58302460202106,22.268219802091444,18.452605632785417,21.801301396241087,17.68370156676624,17.216915185545133,21.777961955653982,23.74932305525787,23.640266048320594,18.660508073208913,19.221981045239044,21.5765595142094,18.06637428653368,14.745819848008132,18.836693944110575,21.209031757636062,22.681281384943926,24.496420945841752,25.513549192300616],[15.839446271877488,14.198572367014092,15.086216423673568,9.88427815264776,14.45457006686126,15.18960893078694,16.70924399421145,21.040585523012076,20.023012729647505,20.904303447601272,23.723109698208084,26.726579326759193,25.92592380295181,23.66434055953281,28.877817895874887,30.381301261302998,28.101041008091073,32.186306053202834,33.48020852055137,36.02140193099574,38.88915698857363,42.37646914704151,42.588562112512236,41.221168618509495,38.16525096779401,34.69269230542446,33.1723535260889,30.088934856183187,31.813582289794592,32.11910107125933,35.69834135188406,35.37372431356121,39.08713854850798,42.44647568756103,39.9123966981155,37.63461306058498,36.79258053948752,36.4735007155393,35.480226288780166,40.89081786792135,36.83690479121648,38.44934671526931,42.733968749537155,41.40257834180248,41.0329987450065,39.18092773224428,43.15565430995012,44.25688470946965,40.136155492178496,43.58964174032105,47.374230404726134,48.44993875714879,49.853466082518224,44.17486005681484,47.42549932950356,51.2903040015016,48.55652825079132,45.93922630210339,50.38936492276397,52.30112829234715,48.62243606085351,50.05463098384062,48.58305095378307,50.013360093355104,47.32324984400404,43.91870237318627,41.13615842140425,38.5355525381783,35.70577822648626,34.076537984864736,32.849041724795676,35.229697249739175,37.4619794476331,40.4756026905255,40.12036203048884,46.37134959609311,44.926330213805464,48.011492092071784,46.701598667783884,47.372700320350226,45.36581908155612,45.8846909455696,44.19208889508603,42.556679102846,39.11064660194555,38.46368784244934,40.49193666355488,41.75182149746403,41.424448184608515,44.97739041921818,42.6159138245565,45.63703132683651,42.3372439357477,40.53148840461555,35.79837995837015,36.32341210153064,31.914286411548936,34.7308822403012,32.28504533837992,34.074408560104786,35.30347776236665,34.22806660050687,35.65401922798571,33.619255569732196,35.91091238096246,31.325893881878628,33.771381871847105,32.07859252033277,28.09149294363139,28.812417929886507,24.101761228182337,24.2077643187508,21.253383698801155,21.103675620483614,21.983748802123174,21.282139173637557,24.901676826097198,24.59488144212922,29.354396098209975,28.439789337043333,25.25015587573551,22.663720001188203,19.300302864577016,17.736513862787767,16.32660097864762,17.784948865707573,18.16127208828048,21.25752525118661,23.8843235462153,28.671469782907934,27.323682391115774,31.86277486817266,32.22282968373143,33.72129520478216,29.23286797986429,25.741178958518873,22.43852273049,21.176736319155467,19.603409871574144,23.22435615315793,24.234297862549223,29.0252350133703,29.1177141423934,27.10471059475051,30.497505571518943,29.71297147789334,26.57525848383382,26.51509930561552,26.304505587476342,24.090545908568785,25.81501958436522,25.802204258702314,30.33174049890545,30.043599368715235,31.141344077992507,31.568683703192033,29.420324619871675,29.82893709458673,30.256385228244188,29.400410565541552,28.348532104336552,31.371151689228423,28.809404342050534,33.53761770078207,32.81139808593348,29.74731981338966,31.46239882357801,32.10161146970041,29.31519519205948,26.214283402380065,27.273485414908635,26.429132837217356,30.645003755926446,32.67039140849323,34.13564680807084,35.509601765664314,34.381057746179756,39.645304485524576,38.62529174866312,39.40381741428759,37.335674566618735,33.63701042283416,37.23789483343447,39.14963683159745,36.35038856500978,39.39318725223228,38.41947866568423,42.04155631772933,38.27979858381368,40.33302455964701,40.05216769298796,38.28073293793514,36.865116216842694,34.64460884691312,34.90880278671588,34.65267051444553,29.98336363066243,31.498471776467223,28.637510804147425,28.311365031304923,30.38660842051594,29.565284030206836,25.74098004293176,25.63883215939094,28.457207562394085,24.814948825479252,20.564044579346202,24.696369125524946,27.217787605311827,21.015589724870775,21.223204425031767,24.528152175656082,22.44740200758933,18.489886202908274,21.827254182290364,21.461879934376903,26.737529656825316,25.92342646473953,26.908782992498377,30.28988917099795,34.601564833078214,37.535681854276326,39.90064007905845,41.759448527899636,39.79321756953326,42.295363527102445,40.01326035219548,43.76954536481844,42.310375950635205,36.44381787398796,39.441341009698114,42.332406350149704,37.99018256449637,36.053347788012374,39.20579195359785,38.704942617990156,34.25319267134584,33.53148483166687,30.963136818334558,34.06466906478955,36.87929858072657,36.14530237146521,38.56337804498942,41.102244749098865,38.73962855868305,34.781737785537025,36.49757349022681,37.19986097855247,32.65981640015149,31.132687117767926,33.26224509950896,31.402666290266733,28.088871844479673,32.371505871760874,32.783967115825526,28.286495041994126,29.31887346978348,33.19621388538079,32.00644479976555,35.05495608165355,34.29613196083432,37.674043678307235,35.734435857692766,30.366482755808985,34.03092105786963,34.947206312414096,31.570305196121435,30.3656054460013,35.966360341306235,34.13368322452685,28.987624130875165,31.612742121965503,35.92290598417261,33.52271304517995,29.594742882513568,24.849765379592554,28.087192907934096,23.736055054655854,24.670477689046603,19.47100010147209,20.301629905595036,16.47279147651393,14.825232544421299,17.005127133712662,19.894961388585756,20.907371275379475,23.20903160057802,20.103786536734887,23.82487034332784,20.14535491793044,19.79796166169059,24.745610274709694,26.614169230019776,26.9165909781193,21.85840012007503,21.992100146610365,24.608385416612812,21.53640300907076,17.72016013058009,21.42989041306837,23.97500405594121,25.50353593386346,27.26086761970279,28.188189101092668],[16.988926817035345,16.35962670164915,18.482978005726572,13.884213325391675,19.099095408692108,18.83690011173062,20.560526540436125,24.57735697956243,22.946047576241273,23.998559659290187,26.326015195470095,29.399165127625192,29.19957262365284,26.45175351599451,31.528770345362176,33.430016045158176,31.41968065147002,35.35295441897108,36.568173838299316,39.50309685995017,42.246419553574256,45.97368599656381,45.979609246253304,44.68333708370286,41.817242869308956,38.16427641269719,36.969543615103504,33.81615689866423,35.4148045318533,35.714801884592006,38.63360588070706,38.67025092912462,42.098051538671335,45.52234628204992,43.32139263446754,41.12221098442946,40.573793352134764,40.4083560686958,39.62270635132444,45.25635765733645,41.08802555343918,42.352286783200576,46.70060431048698,45.4967545010499,45.01588534557368,43.33318434989192,47.256859020589154,48.41648185931033,44.518738888484755,48.0416985486296,51.81147304955343,52.98811093668361,54.25695814466955,48.58667537753617,51.930010832614954,55.62284795492279,52.72458527950638,50.094737002475796,54.51433324364146,56.35893538929684,52.42816389749124,53.64584819696026,52.01192679239222,53.28677278034653,50.785990297150164,47.440313235082805,44.20770099478192,41.57940065146846,38.38379863153793,36.54579022300926,35.10198045691517,37.04462651917584,39.60545241867093,42.901459570234636,42.82659113833473,49.095672528350555,48.10991810535187,51.16359383339374,50.17844674401236,51.1378492212341,49.32085274096923,50.080100755801205,48.4899950259334,47.04780318039718,43.594054426451194,42.70221004993101,44.488548020844235,45.635427301642345,44.99869342299934,48.29458737640847,45.649907175149764,48.312582377875124,44.90116568973962,43.112047655773885,38.409665354705794,38.48585255653955,34.11789748447377,37.42891033914285,35.11285297580968,36.868636691543564,38.63986931555207,37.86211555751511,39.57669296898662,37.790922038037614,40.47275627792846,35.89578219247665,38.38598986626436,36.85662310143858,32.77733251346641,33.322058541030565,28.566891709105782,28.7696858700942,25.484749527673465,25.524517556016235,25.855727778955906,25.26102278101603,28.583985806320985,28.261082271410842,32.501817824270304,31.574766424042245,28.204802427905403,25.745478415513617,22.732169076534902,21.542614638763833,20.317949619264837,22.424964472940434,22.717598603614764,26.062429490445297,28.73586445843449,33.53567235523884,32.29649933201312,36.807983195998055,37.24850287987101,38.66956075786973,34.24120955933247,30.678754372351573,27.471137373629578,26.078014117280397,24.265079752217307,27.76676501071862,28.356489475131458,33.074911481001635,33.08422136329005,31.30073210333859,34.740862241532454,33.79803892727279,30.756827532812967,30.627072479661976,30.556566207730672,28.00435222481555,29.737694072912312,29.085580163026943,33.589630296277264,32.49111153766431,33.74733852179857,34.713543416509914,32.794001347161135,33.621650844427,34.1014899746433,33.74120851204675,32.926898750809215,35.70506895770417,33.33242858176434,38.05604336303484,37.549349124533485,34.43471997877733,36.343837762356785,36.87167091069106,34.18532964505737,31.06375934008133,32.22793550898187,31.278218697341558,35.47505577849822,37.41654187430265,38.7130759701625,39.98254924084636,38.553815791576504,43.90724715580027,43.088196681968306,43.99686752531228,42.0962579157454,38.4074130235097,42.16467752435802,44.12394369633081,41.289331427464404,44.18350529028821,43.01843372111522,46.719304993219346,42.85174058190358,45.081553752812205,44.87328173744832,43.18500375171769,41.84103694120903,39.66055440257065,39.93533701983147,39.62885254011053,34.950691497205376,36.36405427394393,33.34257738107589,32.98339209984313,34.76533052283973,33.814625341358116,30.137032926408775,29.857782121849976,32.34868722463985,28.621269441778995,24.510933911351447,28.239233431974636,30.418034998955044,24.154266631779876,24.121277469246667,27.01809306802098,24.763063951074663,20.696974693197383,23.664179239815066,23.795571203137772,28.749781420224988,28.499363597090042,29.863337032404857,32.9607645021495,37.528520332248426,40.10147961179625,42.93462316820535,44.984810177389974,43.35394915730557,46.05913022818186,44.0117010480167,47.87741814734337,46.22490094236604,40.54436835837477,43.75472451290306,46.58567355529191,42.19008206552199,40.47873618809843,43.778007662721436,43.06123403463194,38.55462809676386,38.242340624096826,35.47389821699981,38.7340211328464,41.41338541989342,40.38778861088791,42.79878707688218,45.03682116328086,42.798007992380384,38.94430541781556,40.20992086730746,40.81363651309438,36.45239031259165,34.751303716402084,36.43373633486122,34.41008103191887,31.167190497522856,35.24479401256763,35.27497267194523,30.5758164710257,31.712071600121796,35.55021745377786,34.699639450375514,38.06844638199208,37.740518905616256,41.15676700364085,38.81700290515604,33.72742945754716,37.745539122907594,38.38267798934979,34.89282269478568,34.213072741013676,39.71333307701701,37.49263406928621,32.5813993268042,35.612747733645925,39.61686290622622,36.887832556645094,33.092024188471555,28.322450626898743,31.139496565642244,26.575231331144792,27.179576317992755,22.331160200617916,23.615015511107433,19.808028791359995,18.11409575969543,20.795658766449808,23.611431517560632,25.117905201731222,27.419962627858936,24.694141405136694,28.53789164829452,24.934042338396583,24.101929079747226,28.90382020958729,30.42384638718028,30.60352521455242,25.757088819587786,25.40943782067523,27.60603811184867,24.789098574028042,20.72088827575483,23.918869065978804,25.99876309729119,27.48096098151531,29.191441723335007,30.035694535407494],[15.939681165607634,14.75972322218141,16.40286543508552,12.573122133881544,17.61663400845289,18.9381134052064,21.2264660639562,25.478438103502135,24.901882213676224,26.22898190753487,29.060629299998194,31.839688297048735,31.279963390573215,29.19452503620294,34.39269676770028,35.854458706262456,33.61444506365623,37.7335642926111,38.95482836277771,41.42450970799223,44.23478342579698,47.61237545109107,47.76808981328429,46.230568625425136,43.213342980618435,39.89484183816004,38.36399608537883,35.418268980663946,37.238234773159505,37.48857393442043,41.233415219076434,40.70826777538112,44.43396481307663,47.891886951541004,45.30521444788749,43.07311674349535,42.0459620859844,41.71727354815103,40.559548940633675,45.7301970178569,41.68039170938197,43.57586008086467,47.774075344769095,46.220014378966695,45.685248918853986,43.555922848026945,47.42702271393785,48.81154259803063,44.58729300203904,47.6624628033952,51.65845132154726,52.73016627916829,54.37449135260589,48.819519143516764,52.04288910610539,56.07256798454994,53.42634747438852,50.93309944062892,55.43217500251146,57.29669423462879,53.8044351402613,55.40365925849067,54.02835954035826,55.4389530588699,52.656220290856595,49.29964322861205,46.60957366110041,44.08057054441987,41.24874415773092,39.6739078875695,38.40327925653765,40.71275224797296,43.03425959000695,46.03171049310937,45.71707644873765,51.96283364077602,50.45271117239166,53.53722054752112,52.13876221916443,52.686891703141384,50.55740144147403,50.904774063476076,49.06239480358763,47.2401163413266,43.84775927077156,43.45389875342784,45.68367567769974,46.96451009443791,46.83580907237693,50.42922272043617,48.15795164724368,51.21841690626452,47.896735192412095,46.021397414731695,41.27747488653451,41.75183687086508,37.33773512350824,40.0277010480756,37.428005105141146,38.82160543811388,40.31794165394421,38.78939372570738,40.46663213847477,37.95557109560225,40.000083837317625,35.21419553560314,37.14402145150098,35.12934325156459,30.979744721075733,32.186153111605655,27.613638402390965,28.398297339982275,25.868574471175332,25.947521184765638,27.300852537598278,26.560735368874653,30.274952043283438,29.77287230393623,34.68074083076886,33.95376824038073,30.768073560513898,28.230080676608313,24.72824342709466,23.14162187162089,21.5790017593694,22.46074440575753,22.13442626659202,25.15233203832994,27.273988566118977,32.187417498807626,30.11564850477867,34.52355873611122,35.14310785974328,37.11863893375208,32.62978445267606,29.584187759978033,25.575464432611625,25.115449511853836,23.96722421314096,27.809231915139016,28.746135960921453,33.53665200775687,34.042295826003645,32.03221987657866,35.43219401704472,34.88013340661051,31.689786725629894,31.62317747455914,31.13027732298318,28.945888663454944,30.16561827875731,30.246498021647668,34.41672315540425,33.94233532124553,35.54277055352006,36.12590880739227,34.26600506511428,34.38272409906189,35.19396115506145,33.894497557984245,32.9367139799603,36.30444400388787,33.51626997639782,38.23902810016602,37.02475252971197,33.72057739016513,34.9728894151002,35.240782884203,32.14736209977585,29.515295340807846,30.677401934173233,30.435212983332278,34.79193855795308,37.00391486658698,38.71317787489636,40.05992919571088,39.28780091939315,44.36983061755484,43.309663409416956,43.825571824354824,41.59915833272088,37.7006816578034,40.9514769607225,42.7068977741394,40.09214191752766,43.52124407435633,42.900303461349104,46.211673976472866,42.32001139142471,44.06944532330478,43.41238670852635,41.77149660352731,39.9021779641135,37.51360524155182,37.49627567855018,36.72957625811291,32.102496449255035,33.33742222610551,30.050438208861294,30.273611441366548,31.568975336061197,31.200204290727587,27.656429757296205,26.533537229071616,29.152002305564388,25.970635498247496,21.15821301256282,24.634137280814997,27.511476590846772,21.38226361085408,20.674754751083164,23.74524639259811,22.319246644582716,17.801434908793237,20.07126245138463,19.681589099303842,24.904486898073337,23.704103653570257,25.508694336213498,28.779936418332223,33.11202237288702,35.95053720038032,38.51360622035867,40.909455805538165,39.41359367162187,42.32681353593391,40.63527023454664,44.23656236188886,42.216831025441486,36.72714478700036,40.16788520867526,42.5619579320314,38.014824820794125,36.6400356811597,40.0174076819388,38.78390922428095,34.253193466801825,34.58779118331603,31.77967357869508,35.74567103039076,38.2699520482357,37.286918769487826,40.137444117903996,42.43410637324811,40.68280842612938,36.492630187946176,37.63323065695738,38.82234965641407,34.59826200685854,32.34852896269234,34.359797860272536,32.72640846222738,29.03472433601539,32.73990371299447,33.22046297677138,28.759383593558365,29.077889282603195,32.74764605758055,31.50529588651899,34.87539221952037,34.6646025895932,37.7028270800726,35.11604534184952,30.120104228434897,34.054071791003146,34.24883205515295,30.69212299318148,30.133495600678074,35.35162897249477,32.76351485858485,27.957054217300275,31.15579553027645,34.84155026111979,31.84327076053726,28.103570955144722,23.3869986911718,25.836067632036237,21.20582561066829,21.954904475929798,17.292956658708054,19.18938613030964,16.041945537248655,13.49545723960776,16.293234395707657,18.77629946783614,20.762345310072185,23.363436307873478,21.554139856537372,25.752539212103738,22.94330213836946,22.03901807202738,27.320578450978186,28.690672972994868,29.701564582002113,24.7212391836922,23.8300439583306,26.699906733092895,24.686276375206678,19.970154089600683,22.782329453290867,25.560425509772728,27.17085048777306,28.831303308457045,29.674959454832788],[19.307076512659098,18.68237862000992,20.79410837012784,17.154779472932105,22.229691769662338,23.361088219924433,25.56785000769216,29.77726436602576,28.831412152116798,29.9987289257259,32.611997071643,35.579856403575356,35.10062641584793,32.62452931754064,37.79421982830306,39.48077903103903,37.1737738525145,41.10052967272863,42.00443209033152,44.759258383610145,47.342601210060515,50.83216259883265,50.71219885649273,49.08432103716246,46.27715545052979,42.927197981169016,41.72846348571473,38.89777069229923,40.86365906097132,41.32642464017675,44.72079700894739,44.56694685410273,48.196894339825704,51.57217202087318,49.11191356992929,46.764184669153046,46.01690838257077,45.494935576467086,44.32680687273104,49.58932699508612,45.278961930687835,47.016194038037234,51.20916000930744,49.584493843041756,48.785452197750054,46.670602824548546,50.42350179848676,52.05306342527423,48.04359770884706,50.983723258219534,55.09054472654304,56.318596567633094,57.945465399501174,52.50468417928235,55.90627613081494,59.807513051550195,56.97061178398237,54.630530203718386,59.194180500362044,60.838302649921715,57.22841621411276,58.839883410177535,57.48279194596334,58.621565040401904,55.877851438614016,52.67926926578402,49.65846017085212,47.28007344811161,44.1209527380513,42.61348063812679,41.08544747231711,43.09987991923791,45.75035967790449,48.78751610528908,48.833662253598696,55.097612127642826,53.82633582565146,57.02937177082824,55.784115784578404,56.411718782173615,54.48865173873771,54.876552462667355,53.235448018696,51.42182556488282,47.907970973830935,47.513304242415465,49.51503813943631,50.93993071515649,50.497611590677245,54.126708174900116,51.63276412437402,54.49072415809348,51.183636412064516,49.440254867073314,44.72143019164706,44.990504886527425,40.60097462365363,43.688050409597054,41.241643401906536,42.78934305170305,44.40282168192984,43.12702669855551,44.776483824630716,42.44919440404685,44.52807209058158,39.78323178553136,41.75253698446499,39.693821127403574,35.57214671992461,36.81037958556077,32.23026145634887,32.89913952089696,30.255589386980077,30.160263943359578,31.175991210881293,30.232350489860018,33.73065904370026,32.93914285351466,37.56243278536837,37.112573238318255,33.769325596105695,31.46214546157281,27.940916140802692,26.76258297178477,25.554660232400177,26.65663282838836,26.678945072316584,29.638107048843192,31.806696725534948,36.690789314436266,34.50808395469856,38.92526750642927,39.402262211975795,41.532555451282015,36.88223085497621,33.857381864006385,29.771063158989374,29.12124781455036,27.707423985005132,31.544720065683336,31.89507082751081,36.6100198862794,37.30811828542063,35.579643195391164,39.09094537615462,38.6825227163751,35.54671417359724,35.689096288324144,35.41598577638502,33.21490921890064,34.60514140917533,34.476430084828834,38.71742020093825,37.914415930713204,39.507213778140105,40.29276605553249,38.421325266967145,38.753010795609434,39.42624019805101,38.33295278691055,37.215221824630206,40.387542073122255,37.42400706536031,42.19886493267141,40.91317954295262,37.33449084899602,38.74611372129522,38.69600517056922,35.73618109233454,33.16139620243449,34.58411920719219,34.38317298020014,38.89194715072566,41.21858381779084,42.966888926689485,44.43221391233964,43.527410136891895,48.70941429455874,47.568876514000024,48.19046688730209,45.83676213478202,42.12343370082607,45.28154585998455,46.920104850185126,44.2236234856228,47.50596437789397,46.7653816565276,49.96045742343823,45.79436702160874,47.68383859973183,47.00422448594786,45.594382037092856,43.7514833919332,41.48197491585366,41.55259594582464,40.76322117070003,36.244112329555975,37.571740065357595,34.28056807514805,34.72454166081111,35.87560179410647,35.6521046391573,32.17250935621333,30.80895230654817,33.36495838126992,30.322966311303045,25.421786774871826,28.625360841518503,31.529651859391546,25.481154431498094,24.477074315781213,27.300554200437364,26.0264957375389,21.427397785690548,23.139894443966853,22.88950376939946,27.870221101054945,26.557004656187402,28.846247065010232,31.978133048009436,36.27738647692619,38.99022751357969,41.680135450848475,44.36371200373103,43.118050179895164,46.19958440436765,44.749541159231,48.254990391443364,46.00701384220864,40.698042944034235,44.26683449898599,46.40450260020397,41.774981996857484,40.61864614534564,43.9864466417035,42.405834353584304,37.900135714490325,38.54931026415151,35.85393269378334,40.09413362362834,42.571299569702155,41.57749844254087,44.543070701493846,46.760378355266866,45.15793881465037,40.94091634336481,41.900457726822495,43.16849604545259,39.046715389282376,36.642630553281705,38.50778107623341,36.870952887553834,33.15689799405479,36.64143394526807,37.002375200178996,32.505850737304044,32.68976132486002,36.24335650178746,35.103833380054766,38.63442899010307,38.69130388837944,41.595372455824986,38.717127541581895,33.95948591405974,37.980531883053914,37.83985690666293,34.23219735093253,33.956447787367665,38.92377800380076,35.94770920542703,31.372414598231444,34.73873080951137,38.062188139459764,34.72372041353466,31.122040104851997,26.54201484829643,28.29618308909836,23.566224705107466,24.40661343445375,20.309003570419797,22.811370101417964,20.067108360807936,17.174216596341086,20.042982624043457,22.0916939842264,24.453473007808366,27.321530237636313,25.929915477625816,30.189648403764327,27.50599806426313,26.626616880652396,31.912472930959574,33.177324250927526,34.2050618891659,29.28100683162796,28.214628469099438,30.953680695755505,29.04868362156312,24.256906230322077,26.796895808603708,29.361281628563074,30.929501919252814,32.52317415914232,33.26693818331227],[16.273761813714763,16.347555759588236,19.34594718250103,16.59156112418588,22.281837563686732,22.557168785824857,25.321207966626652,29.19622325973703,28.364270241727333,30.207425351544224,32.67261438173278,35.25267143121616,35.46199801278082,33.23009986903435,38.291546733829826,40.013361948448804,38.19688125703938,42.35575128602923,43.78552790930231,46.45441088071242,49.324348335296015,52.87410989276547,53.01366388730158,51.594609513661446,48.62253219048311,45.143557658239686,43.68732008666836,40.561289279282946,42.10808396487104,42.108138154224044,45.43122146858586,44.90795220842974,48.365280476455546,52.04820128790056,49.749214955817216,47.75580011866916,46.75058726661899,46.82838948377921,45.89398567214833,51.20669538508781,47.258637886497254,48.961566840539675,53.235987647224576,51.83609717068266,51.35719433679112,49.33355753009242,53.21858043615437,54.54664837642831,50.357224861223855,53.52585292181494,57.47652798011093,58.520774422642695,60.09974190580722,54.47263582395638,57.63230140460073,61.635610938307835,58.99123062785273,56.364861210293355,60.786666838539574,62.77391291147491,59.13180501029682,60.500027375994534,58.920475228746284,60.399697743395436,57.787921821300934,54.35695148306121,51.438650851307344,48.73800586388987,45.762021000816304,43.86513036232926,42.5686258248489,44.592449342775325,47.0266904963215,50.34556878520331,50.03803233998826,56.296233783876595,55.12278047539216,58.04506904569232,56.885787641583576,57.69379815093412,55.548545236556976,56.11676796126142,54.13577943316326,52.493860183955725,49.22941157074157,48.59245569401024,50.82031684000109,51.808864280884535,51.67052432536167,54.90372158071968,52.519677747691404,55.332134175702755,51.83176868859901,49.80592715243064,45.07039679223048,45.150009961732536,40.76955429547577,43.62663309215277,40.97103398532482,41.9887919549855,44.20093856181343,42.628240630985985,44.83010840794238,42.285858222666576,44.75213313771861,39.86280613016567,41.63469459892228,39.80614581946744,35.478934432038145,36.53712735796778,31.97811945386222,33.1929708898087,30.441164471315627,31.00115166762486,32.14002724347821,31.726970480349852,35.35979582792082,35.07436349736317,39.692021992791915,38.72447884085004,35.462191253279364,32.84284859453489,29.71560411687047,28.130701045568706,26.366707535586315,27.73734052751203,26.82389952473611,30.21901744461824,32.236807321662816,37.21145701571365,35.21912134743821,39.49548270811083,40.458541099279834,42.3035929783676,38.083063800040314,35.04324307399357,31.09680234169913,30.817325161039456,29.701935360529227,33.47399601435096,34.453003565585014,39.24019265945614,39.575017908779564,37.563090995283105,40.93650554070229,40.09609930982939,36.93300762511573,36.553713215928845,35.926549514664515,33.31098458090802,34.21313906241008,33.69440367192619,37.607742045921775,36.30707448605905,38.32794039237378,39.482471835729626,38.05257491018033,38.398505397373235,39.56230553597056,38.56059555307499,38.11830788362268,41.48962054538506,39.050235058296394,43.738142725123765,42.73585731138499,39.56328513005987,40.77622425627655,41.09972912415995,37.932722504173896,35.36113678857851,36.423485487943886,36.15547701928197,40.37961710128584,42.4206400588806,43.94399947474146,45.01659971252432,44.09690834175581,49.144745803279676,48.43098930182536,48.92046395769984,47.00147123000838,42.844970502785365,46.296634043013306,48.18645085356573,45.6726750086181,49.1867061807506,48.55061663073814,51.984517128963276,48.1786924939218,49.91801114061869,49.24971833108805,47.534609739211916,45.58716159923891,43.088841950492984,42.900302413889364,41.9176192891482,37.23847402326906,38.11887693141042,34.53090943425049,34.63250384210685,35.35623858484974,34.799226400044326,31.57964995504856,30.171158850520193,32.18559068995818,28.996474471771393,24.5594511610504,27.283673784053363,29.581200891230086,23.615647013831282,22.572514344334152,24.921675118955314,23.42108647457927,18.965063472802875,20.514419194618277,20.866225143177026,25.34764634118512,25.155128712390706,27.32315123255745,30.032494299830837,34.651342148614546,36.873624618073094,40.09813048416533,42.69406495834865,41.72785533322082,44.90743459449147,43.61999171431483,47.364350980322364,45.07429339492026,39.972233342719704,43.71563883783568,46.03568623641699,41.50626559902804,40.51043139040215,44.144904054866494,42.67715701296957,38.119144594092965,39.13579757125927,35.886992013103,40.016952967478865,42.23787452968551,40.7397041740098,43.57948200664524,45.36500498641169,43.92494989704027,39.88925957020229,40.28312364549338,41.421567395485305,37.55845890118616,34.974638274606804,36.35967186548909,34.61642549399327,31.005228842798093,34.263082707189305,34.29017198072861,29.718834495576782,30.003017155450944,33.49610782257306,32.711877353182444,36.46251237190307,36.89920818866894,39.91550306816703,36.77577434674358,32.31493605079299,36.69901678986711,36.48899996163748,32.858776450594185,33.13691998053609,38.12238424462707,35.0758743469479,30.773202029133042,34.53674248443213,37.71847327739617,34.39454411284218,30.990910856169396,26.396191418942788,28.37378960514338,23.72656018245415,23.642502980794763,19.73652207242016,21.91100986594659,18.911342500342997,16.81607158528872,20.10040494733904,22.5382542010164,25.020443631151263,27.25387709706552,25.999639450008566,30.279878176916995,27.705887448978945,25.992331027963537,31.01764975703053,31.80299113813463,32.84172508016191,28.215920500155242,26.539565767853684,28.93040677718505,27.578142072168735,22.472164696622553,24.396496767007182,26.683000425588453,28.23686351516852,29.784266762297506,30.53609383586568],[18.43774173075038,18.726600036393396,21.81423650468914,18.202058947746142,23.89427659122342,23.323704610785043,25.54110999788244,29.313167318132937,27.652173789356564,29.111824109945964,31.180757016243287,34.06773273466718,34.40573475783028,31.594861489521847,36.53717105807011,38.60439414869665,36.851934334312894,40.765190178225325,42.01482034658932,45.0832808231759,47.79145094854369,51.597234747187656,51.52178061425079,50.22855257683121,47.44768608671687,43.75559168799528,42.662460494810645,39.480861480856625,40.97540883533523,41.14964859951719,43.79713293244906,43.842780864535676,47.082789900683366,50.64363308490254,48.631663645360035,46.571936339069744,46.031625476876734,46.06267901052146,45.35102944272976,51.00337641117872,46.84806574466137,48.06286135324879,52.42151256112233,51.22501301722461,50.675153003953014,48.969209830384514,52.84497478885844,54.106740206460906,50.236892335752984,53.671037122463936,57.503561968330054,58.695791643627345,59.99660663193385,54.34306198765849,57.67588261859648,61.37910998908647,58.47074025716318,55.83272856312875,60.23153872815829,62.08740779413368,58.10438462279971,59.235242321159085,57.51372770617393,58.76451010269202,56.35242446100284,53.01645957640379,49.61960087796914,46.9514481016959,43.62101450757357,41.63091081490467,40.11882993901298,41.78863587375385,44.49603987792732,47.97302281765459,47.989182820606324,54.24112260594209,53.49512677240479,56.46617158909359,55.63389919386431,56.72619809794814,54.90638729303242,55.75027679381001,54.07359724736096,52.67935370391505,49.29130309468375,48.34049912234497,50.14530293963749,51.154572603151465,50.5136839609269,53.60538942244645,50.88215798210068,53.352757108730295,49.84223732567811,47.975624291315924,43.304761350853965,43.08175785003742,38.769376713845695,42.198879524147976,39.84408391611724,41.273888736864336,43.56880355634185,42.67430658893915,44.76234023841163,42.8424130697722,45.69213327713279,40.9935405291004,43.24651946456758,41.70610575393086,37.46938532573377,38.09674544516869,33.379914581834214,34.018814100684004,30.743616845613744,31.09006113870201,31.434267560565523,30.97486471589069,34.24692901172258,33.93393996131506,37.99631571847223,37.04740498958571,33.634530155687614,31.203029586592372,28.36535632197987,27.22051108877136,25.87636265045859,28.03229155470094,27.822839331597677,31.33800551482067,33.80668361378404,38.698008938281795,37.24194952057586,41.666464781587216,42.3518717630874,43.88562099874215,39.556676469485176,36.13160828762184,32.68651974416679,31.62874809918284,29.945350230281676,33.50082041679379,34.01043278431669,38.71115476098023,38.79677848055626,37.05871044595809,40.50192375615246,39.50135656649878,36.469279736993705,36.198270519785474,35.99208868533374,33.21692858372817,34.63135823597529,33.64330382442601,37.882771978571014,36.18190228025421,37.833474759882925,39.220476402211425,37.64687717453861,38.546180384813155,39.324479490019115,39.019803019737246,38.49115604865531,41.35700705156866,39.07128421262672,43.78676179424356,43.22510002205878,40.05098993345836,41.81703097611792,42.20458942984294,39.38859478101931,36.447878232036835,37.637834665518525,36.87938702103706,41.09015800225238,43.02313744632998,44.30480509956967,45.433954546210664,44.01202092875558,49.305178096791025,48.65701860538492,49.48850619120067,47.68553412589764,43.81407591943552,47.56505795995283,49.534876822392704,46.79154377913684,49.83625708486664,48.751064039157306,52.40639189544008,48.49170698895899,50.6489128573317,50.31313101590386,48.66173750888658,47.13157950477331,44.849884893800095,44.95900664325901,44.37111054207553,39.672125703535485,40.833735067479935,37.50501294641151,37.28718354550863,38.50988227002382,37.61632671581677,34.195559737812985,33.41164459053232,35.52031447867124,31.942720917815365,27.82822305218695,30.938655484959366,32.91424222280243,26.77856016752079,26.25438531273786,28.647409653215316,26.565640350794915,22.389230823779933,24.563317859867535,25.111971987154025,29.57871460183858,29.75699632248934,31.62495983651449,34.35617380729031,39.078021316172084,41.2448125055116,44.53345176411971,46.89923749531514,45.745518100870726,48.75030310290867,47.14021416596564,51.03117843305955,49.02267398033276,43.6876351539157,47.22504718772526,49.8310542713225,45.35951494283935,44.0535544635964,47.569129507921936,46.44335456760214,41.88781156337463,42.30947758162385,39.24149809575291,42.912327088882066,45.33990575478723,43.952082893619156,46.509500428729034,48.37688492954409,46.515165234409665,42.66902364027991,43.31786544860948,44.04491853697482,39.99685858428137,37.86964465510107,39.13648019556608,37.11378746367784,33.810902912968274,37.42719873756838,37.18791765327504,32.43944521167982,33.338766989254964,36.986767813673104,36.41021672375213,40.10998770243246,40.35139676373558,43.63758512823195,40.75119950424642,36.10789552944291,40.47021910606345,40.619168221238134,37.0269302273088,37.033900266070304,42.263909201549126,39.505068169416035,34.99613329202281,38.53128212519633,42.02944064019326,38.88591336407496,35.342461860464915,30.657036800113364,32.88643959798027,28.213959699454367,28.355997709587424,24.143702789030073,25.97417289881678,22.500692865737722,20.689631636631937,23.81014688645285,26.431427497306707,28.54591233844819,30.812874226495417,28.81735875131026,32.89155334432371,29.68622402744667,28.266446542059256,33.05933229305842,34.09589430268824,34.51133679639668,29.888754585173036,28.77458280907817,30.759276657841323,28.662384950378915,24.104603368305085,26.481594351081217,28.295647932847043,29.753641771189667,31.351430153629817,32.101180100750994],[12.801853731026199,12.906261908847164,16.13610114178326,13.216400193687607,19.191344833343546,18.641494341313823,21.465954405439224,25.160112415751428,24.252871888514388,26.351144947862345,28.73908994071472,31.148654658985812,31.647807130120064,29.56172185514392,34.54077492137091,36.255005640716334,34.72737507948612,39.00823941091988,40.810073172790105,43.39836106758276,46.4752315454948,50.07035366453153,50.42540119455173,49.21858242544113,46.117723533656914,42.5245724132657,40.88547988834409,37.5362924799321,38.76769458261359,38.49420955400032,41.74610171435413,41.04423956100123,44.40829610607306,48.21883272067102,46.01625399643976,44.22538744780359,43.119226719172374,43.56781664597034,42.84666512698124,48.257865548948736,44.56745673729362,46.1373821128213,50.47595671965464,49.320313029769366,49.13737803326676,47.29867040193392,51.30813890454766,52.29408591092609,48.03953252054953,51.52129890854119,55.254938405730215,56.17645970087819,57.60940151704698,51.82304364702264,54.826748444311875,58.81266522434389,56.269709709703484,53.41347598810231,57.70933040482115,59.93459858808605,56.21773287387342,57.37016455159428,55.62881357502928,57.344425413209116,54.847863621315696,51.25448248185158,48.422771825650194,45.49900794839978,42.699682698664844,40.56154871080936,39.467195354788394,41.5748660075864,43.77706638983181,47.2331219295155,46.64770500156958,52.87970482301963,51.74576933464909,54.486345459338565,53.38947840619922,54.33566201182451,52.100360443611414,52.839288518982194,50.72059433202991,49.26569877833457,46.14360123179514,45.25522505335998,47.54031779541596,48.250983385568915,48.240704636261945,51.22269234772315,48.90466650035665,51.70572737896729,48.11872320767834,45.95200327577562,41.21930434488944,41.25764947346526,36.888727744150934,39.59380199625903,36.86769580796416,37.746391739011116,40.145760195942216,38.582720929082264,40.976732917041815,38.51652986664537,41.31476633052831,36.44467744904024,38.357808900658306,36.82740213253533,32.457594893940716,33.164627632657215,28.54518917364538,29.78117806394764,26.797236674247213,27.684111751608107,28.728029585218867,28.687196889568803,32.34688786129623,32.48250094804019,37.033937357836145,35.654827321908485,32.49206563114652,29.66076243746793,26.87180657874008,25.02018647690322,22.946880813944244,24.680943978943713,23.437264438479218,27.131915290082503,29.28025803455734,34.241155672264185,32.72953197019717,36.99283247175239,38.111242299754544,39.53663900441291,35.58833189688881,32.33972069638219,28.825812539548892,28.43107203778131,27.355709701242596,30.954092066914047,32.391101394469416,37.1891714866916,37.10991013483642,34.912409816429296,38.16004133937544,36.954509027114554,33.81708845550338,33.10664636718967,32.369107476354195,29.504616343664647,30.317593687595338,29.548594369384652,33.445192531247244,32.00262235463522,34.03096197671898,35.28764345049726,33.976997948631784,34.436020009391875,35.72340192174618,34.956679602996296,34.88908848832876,38.224287567329874,36.22962952559649,40.832373834559014,40.2304572746766,37.45171023481737,38.74227780161579,39.489098441505966,36.34646743235791,33.55858070115482,34.33441641350766,33.74900246271504,37.70150605598497,39.46753301291251,40.735764263491845,41.578463117462185,40.50403107562101,45.53250690833823,45.08896719149336,45.614712955094696,44.03867825158171,39.71927880442493,43.5101724544521,45.627770583449816,43.140986544224084,46.60275595419245,45.87481893071996,49.59244062136165,46.10073548503236,47.87777492402161,47.406374370549486,45.43353724912783,43.65476147268507,41.10377666038485,40.9056350258734,40.086445032354945,35.27964235086613,36.052918204413984,32.51690211272009,32.108689466750235,33.049934988136556,32.03442158443829,28.772199098504466,27.918043110926565,29.789426222997594,26.188787365596703,22.267121783004445,25.21245004477506,27.010077588282364,20.89498187881707,20.424173945205546,22.797287306866096,20.670382421605378,16.50039520356867,18.910996481427738,19.549835959515306,24.011362642057097,24.617108155451994,26.12462828350195,28.782311405277706,33.606540824164966,35.71527057475026,39.059654882269044,41.23463596959437,40.053698886887254,43.02103317356325,41.40898611662551,45.403067421987174,43.45524788139414,38.16447839564675,41.7388045849182,44.496918624359914,40.12548923509334,38.84069865437423,42.5021751826365,41.56147625552675,36.99065296000139,37.555234603572295,34.11588014691162,37.69155860016204,39.95409804220268,38.327900108219154,40.85307215711083,42.577723011715804,40.83875382097988,37.01090831191234,37.47050202368659,38.2538637329172,34.29962032668061,32.03318529370774,33.27466942697755,31.31914577747517,27.937026981653577,31.51938658202276,31.357275140500505,26.648059183342614,27.47275188903367,31.155785436063102,30.54668077633996,34.22037267117805,34.46415128936885,37.798104611817,34.957792188921836,30.309138853454744,34.747296629538546,35.005936785897404,31.44524870822197,31.551359997360933,36.872360981153925,34.30527041755612,29.824136304453113,33.448226464889686,37.035146325425075,34.12207202891156,30.623938496314345,25.90621450547731,28.649768110342475,24.148232514288885,23.774976861566252,19.360452271950468,20.64996789474036,16.923432430883864,15.757082828845759,19.007669369965097,22.009705262959294,23.996681470607513,25.730852560225937,23.782944473524093,27.855860518976552,24.889592639448963,22.92952481279592,27.672373813924484,28.46965209935359,29.14124012288946,24.59861136254913,23.09905069247136,25.208848784199766,23.583950091004503,18.654348922037926,20.809965399862946,22.90972798524478,24.466844683361625,26.114649422410103,26.976792366469525],[11.06895009390244,10.727184637667971,13.59877450431246,9.975605218471005,15.953966096158648,14.639760677438199,17.26751846880102,20.899802424886996,19.841258491373935,21.98607581603493,24.36782375353946,26.735183153174063,27.292826279908866,25.30266489597188,30.24275035402763,31.923070127012398,30.548566638248595,34.90089017600687,36.9607620583347,39.46973826157029,42.6904118231171,46.306932309289614,46.82538161245118,45.7928288468013,42.600726874614075,38.93046264051858,37.15865998970807,33.65299125081577,34.65970546985335,34.22968292038474,37.451059988201116,36.665056165558404,40.003215514901825,43.84971649074211,41.68376940959691,39.993128824745924,38.85605017977046,39.51669857420871,38.95880168538982,44.46155709774891,40.949375758311035,42.3800033217484,46.759212189958596,45.807377016809625,45.85885894782625,44.20470853716029,48.3010310443598,48.99464493310738,44.732159997924775,48.48676479744761,52.018340114423175,52.859818862158754,54.142087246518955,48.24489584428615,51.151250132942046,55.080510332457685,52.58934763036909,49.572277924765075,53.773842766835735,56.150227869990665,52.36640743867673,53.36374266003606,51.52130125805103,53.391652484057424,50.97496938893423,47.27539480382905,44.52258790625483,41.45440423398,38.81165799185966,36.536044316981894,35.60978886803396,37.83318957660826,39.822736836226305,43.32646244761921,42.530834266929155,48.73843396644932,47.59704557941533,50.23404405877025,49.16588110970368,50.19803792314427,47.93439337048023,48.80119745347046,46.646492475753654,45.34421967471376,42.29543251935804,41.203421077648926,43.47670024942971,44.02822304909713,44.06105532131776,46.908338024310495,44.63296214284928,47.45506348865023,43.840040626767696,41.61113877541613,36.87699803197395,36.960096520083326,32.588247033930614,35.1887107732835,32.44977798078133,33.391596488628046,35.752541046162804,34.319746649234325,36.71228333702259,34.44032591356954,37.47927024491838,32.69576122050788,34.866399862036005,33.60767668327547,29.289270371386575,29.63256152452582,24.934175616624312,25.94855629265898,22.704924242349303,23.74153065928443,24.620820974643614,24.851760533625264,28.497790337132695,28.97378351060107,33.44693052440975,31.755890191546648,28.69607879294612,25.71148422077344,23.204507789984085,21.151700759520377,18.8797034628586,20.986975917776192,19.713685487156628,23.602782942633784,25.978607834266718,30.86545418528664,29.87832022827688,34.160422810799645,35.265559179628454,36.29222496643758,32.51755671855776,29.03069318727043,26.026384385122352,25.344808584455247,24.219134772197958,27.599519468546625,29.37617996257751,34.13383887607597,33.68427392582396,31.364593683089172,34.499874756006356,33.01321091298007,29.917208372928265,28.995799543413398,28.26038912091915,25.250084933272447,26.169994326580145,25.265366835666768,29.310281759437345,27.944386738550392,29.77510936022856,30.979046204803158,29.609366475930962,30.198928227937238,31.431004340994566,30.911573233161345,31.03103016101667,34.246254566777,32.59604723892997,37.1208268389845,36.89567428542305,34.45244199700698,35.90049116266953,37.0116043640741,33.992981772643844,30.966791699816177,31.52160962646096,30.576539126065867,34.288674338273005,35.82713600826167,36.873313830913474,37.59473779425482,36.3406252848286,41.40398885609169,41.111949161260036,41.73228760221333,40.395775770436636,36.05878464985074,40.13634824282254,42.422959894219005,39.904011916477366,43.21005084527861,42.33848742754299,46.29514933915841,43.050839750281156,44.91613484810984,44.67117022699679,42.51305011552042,40.97918034523058,38.463887245498945,38.35350800966382,37.80503115694155,32.94118260878129,33.75991756824983,30.437037167656076,29.55951167712783,30.94135475268049,29.52737977769559,26.121299152450046,25.981873041368583,27.899739434569497,23.911120184583393,20.48266203211876,23.856993055583168,25.30924845512036,19.0976034903119,19.363984773019208,21.926063670338824,19.229847765645225,15.503819474825388,18.885634359499186,19.5300050726751,24.05954231267644,25.020913645186596,25.831834737468903,28.564924730416074,33.404618060042516,35.56755569869673,38.78866550871285,40.518872809189695,38.98791071815664,41.65238305006955,39.611733267175126,43.76663130023093,42.23435420768124,36.68382134470925,39.96480440323184,43.12907109111322,38.92672524265307,37.25794106319871,40.81915121783889,40.43675898443993,35.90901882998333,35.80675291543447,32.39795318563085,35.33714298487856,37.743479371335795,36.191882722944655,38.385939642521414,40.22025480958811,38.064392083983094,34.42214124681323,35.212473756524496,35.62864586845343,31.466459780135697,29.687855660282235,30.974283144800488,28.832691508836444,25.71723016488142,29.755000061930534,29.535546889142694,24.770629096206616,26.171862389379456,30.042855202312207,29.475168451035227,32.91071358490115,32.755404926193485,36.37466623781372,34.01832335349211,29.082500454184427,33.36884864541161,34.186494970563835,30.757525729676196,30.432393204883738,36.06490919599633,34.08295279742398,29.356268266653174,32.616966388035955,36.66992990592625,34.22773212258482,30.59849320639042,25.83475743843501,29.261195055245782,24.965791518277182,24.644262670899973,19.756352588442894,20.16035095356494,15.82867891644165,15.474841061787167,18.36917440696991,21.764386182415077,23.091015691771677,24.459576298195355,21.640990664606583,25.38896319955022,21.900734666222043,20.02664462618894,24.485696002406545,25.527584962205097,25.715022349447704,21.154445723164873,20.224615984187704,22.12838583390253,19.844060314204732,15.37894826542116,18.184974901790454,20.158847150115488,21.69926828519502,23.46539956420903,24.452221134944384],[10.224474621520697,8.362777256425906,9.896142273946948,6.890597931476715,12.543308510659234,13.438199300744847,16.4955445236613,20.442883960659117,20.698955433971296,22.869809526846915,25.864694851109057,27.95817550554107,27.840428206264075,26.62439090233288,31.65916398663503,32.775892733232176,31.053513368169735,35.54775153223838,37.56708554313952,39.523095923577095,42.80250430807759,46.00840765709479,46.71166548405252,45.44643854906455,42.0846579839516,38.79424154042559,36.64614462119223,33.39543466810006,34.663211454612,34.2390677071774,38.417945638258395,37.05164838350762,40.76018298171795,44.541958445508236,41.903814123018925,40.129354326915056,38.488678980991615,38.89468643128121,37.923846509343356,42.90113376273023,39.547877889089705,41.64272436938494,45.84008735122453,44.541047334756364,44.58466231325387,42.50616773342219,46.554561221746106,47.406893576312235,42.808889086559745,46.14440395814278,49.85023314728558,50.562417600458986,52.20760159295254,46.432229200080386,49.193104727052386,53.459832777506946,51.25027628200394,48.37940207516923,52.64993695090515,55.043334924716156,51.744272247988356,53.15987073039625,51.62648038916119,53.63266128955123,50.90737922501333,47.21211534328097,45.09483974304544,42.17356676676101,39.969952031286276,38.06129429523321,37.33041334558893,39.99365402767151,41.68887001745243,44.78005971524764,43.73084632296878,49.878060754193775,48.10838031064555,50.80036914985895,49.2467950174194,49.791826734111986,47.21137035873941,47.608690499802066,45.22160557462839,43.50297878075816,40.51727587083738,39.977106929347016,42.707613016128406,43.44857234098243,44.019428269368795,47.248251648076256,45.40671483593176,48.696972303280525,45.24986652158242,42.996938208596866,38.25784146796208,38.887691586027046,34.506899922252536,36.37915529292481,33.39910883534781,34.091128980274384,35.873093623872734,33.66934740671047,35.83840508417098,32.82059012976997,35.07240591490335,30.107588683188926,31.737073994055496,29.954214810033985,25.592372361489737,26.64508612087734,22.141733479568938,23.68607920732892,21.356293098603114,22.327210907567007,24.348064450979898,24.375106453033172,28.401376882289494,28.695685408986133,33.85840791483638,32.4066779529926,29.595889693900435,26.583636452435783,23.545708285227587,21.0955044885615,18.544413850238083,19.181357951044433,17.28924270964523,20.74330769105964,22.545826135820036,27.534280712484048,25.74942229200834,29.947100524493212,31.208599309060396,32.743870704203914,28.921560344870077,25.946722422955993,22.21502468949097,22.487517138770208,22.10280445349538,25.754178334863628,27.983331774010953,32.762531831301615,32.7639644744908,30.196024463407856,33.243731369050366,32.1876820186489,28.960183946941637,28.15667602436505,27.00044924728938,24.54011984939643,24.981814435476775,25.118460646573435,28.835843573869145,28.513929494848696,30.50914582062805,31.057426357973064,29.609907479749573,29.345299410353764,30.81169681267104,29.20853289448721,29.079092555422893,32.89570410788799,30.809482167620555,35.295399843873724,34.37219835788893,31.826218336788845,32.61041834597729,33.57401196680683,30.18138659915479,27.60688546613617,28.067370974218242,27.78389880665401,31.595665824545126,33.39194225483102,34.87184753848128,35.71361955302026,35.186381883174704,39.947784162875074,39.33630825372168,39.55571180124066,37.85756144075448,33.34612301724064,36.896140452489156,38.98494251082291,36.684522236430496,40.50534731365196,40.183899051717276,43.75794392582119,40.56323833903035,41.94020409454768,41.2934390144715,39.136174930700086,37.12883937535269,34.411130220925884,34.02780519377303,33.09696008215335,28.26093477123588,28.92872449520613,25.399504152389852,25.02007033793494,26.09645549348675,25.252248414809895,21.860736319902642,21.01490691463851,23.237295415923164,19.728438157396823,15.465718858335595,18.915404334613115,21.25429070594434,15.033533055501392,14.795740019746308,17.884985438242946,16.059720042477466,11.800210684164743,14.918394227269461,14.766936104826078,19.878543936320092,19.73995180840836,20.651589067863636,23.755498352001172,28.325678392490367,30.94858048833434,33.70366602892065,35.6313884286965,34.01048247641341,36.76670043181442,34.88914869502886,38.79626713863768,37.043401780289344,31.502294740602444,34.90624463262425,37.76723608829523,33.43730204145694,31.92452530838982,35.5189808458122,34.83133925936546,30.27750723596606,30.529648776114584,27.108824705519602,30.601541000092123,32.946089048963856,31.553390310439287,34.16466949673675,36.227593914086185,34.43108420772394,30.39567153647924,31.32202852841729,32.341095737845315,28.174400282539693,25.949226096642047,27.82438751660415,26.136691740323073,22.502816765108225,26.359974139972525,26.80251609648631,22.35059226037937,22.901307731093116,26.690866590441633,25.53888331068598,28.830952091876327,28.527756203627014,31.83131509209748,29.4585613291279,24.361711781245088,28.449788174436627,29.057793260542873,25.584779795884096,25.078390054096154,30.614107861690602,28.537038326333068,23.70657784132132,26.951724759823385,30.955463986707816,28.48136307500476,24.801013475315905,20.02990281008171,23.535571483603608,19.338663039515914,19.17300102177885,14.099336245066054,14.574978813080113,10.523748997944788,9.700548011433703,12.58072892601719,15.965770180322274,17.406561660151908,18.895027690926064,16.653960263316964,20.73206461853986,17.950420653580466,16.12205043952578,21.200852973063295,22.284171767112152,23.3761698210584,18.54016957437526,17.288213961547612,20.170506963324957,18.572028944404266,13.560482662767836,16.27505334520855,19.29994386512351,20.998190974421828,22.729289847055576,23.755961509345976],[6.992794157372007,5.376005623058793,7.827363013145408,5.341611538555179,11.375503091087564,9.781119854537152,13.262521754734538,16.64235074213208,16.771718706508807,19.647761775276557,22.35624668352145,24.015208728764225,24.684090790393878,23.732845906309425,28.500609910770017,29.668119220160385,28.59814971191766,33.24446953405141,35.88507733923817,37.77177982261725,41.341004864494586,44.65152322281562,45.64627146153467,44.744140672855124,41.26339128345089,37.78462589919017,35.433489690247995,31.822174497494043,32.47072513788828,31.512894400360842,35.39814431780986,33.74251134543169,37.18931406580811,41.24122108668127,38.870167026258585,37.51357766735459,35.73288451860041,36.87558470645591,36.335598490267806,41.47967160937197,38.579806722890226,40.359197037962275,44.63980664409064,43.77708205656863,44.261569356031956,42.529819806348684,46.706125808184254,47.044260266306125,42.43729243274469,46.23370769850676,49.56973402031041,50.10149103795411,51.48395269312538,45.49732971691216,47.99040765581695,52.17762571716143,50.1173693845188,46.881117743394036,50.90812734786637,53.67335155692416,50.21575731204917,51.21454834260983,49.37360457139637,51.73221516035262,49.259668147196386,45.32958405075724,43.26387303777258,39.97663974461488,38.00971220068974,35.64736333367629,35.226867779867874,37.877775146661875,39.24446202289971,42.61795006084807,41.16888144671868,47.23626712559979,45.66402655878138,48.01131937958402,46.65182817191932,47.50370132798865,44.80245787456036,45.549560184999486,42.91977912162816,41.58003893609441,38.88161204883935,37.84959432157485,40.63761533622162,40.834408869095896,41.58861865513417,44.28069530546083,42.5069812429867,45.67148814740156,42.04914098544006,39.535835391349835,34.83278579920724,35.26294046304933,30.950189192357776,32.58950400097722,29.46993429428748,29.767541642096568,32.12216950187978,29.904342832846325,32.59869679607794,29.71956790199562,32.699804640944535,27.768523830564355,29.58144354154528,28.421130938985073,23.987654981999952,24.31153236215597,19.748037182589073,21.48824965685139,18.67284350418536,20.452198176364917,22.194497844107637,22.992324919104856,26.92500031457748,27.95379082360801,32.781983866850844,30.644009607009302,28.023439907175984,24.718524515805925,22.464666159961403,19.65378267019161,16.538020243124866,17.988382932643987,15.240910206448005,19.340925795863146,21.302439152465837,26.174333906525195,25.316438362061817,29.34566076231996,30.94581032083835,31.705651439153584,28.49851558816018,25.23420721640802,22.41375227630549,22.50500516022148,22.185766883633352,25.381889320037576,28.23508354437196,32.897885566997545,32.213086047045714,29.426631598800537,32.210083780695705,30.480950739329355,27.362616740538822,25.892743489797876,24.498238466900816,21.443185508868044,21.55990401112199,21.01653328140745,24.601521716789932,23.755702035783674,25.94050126235076,26.858877300354933,25.78934927031848,25.791540230475093,27.619784989095834,26.546995929787478,27.274899040661946,30.9722520116485,29.77763880891499,34.04304353814062,33.85706343841792,32.01090954509953,32.92141882701846,34.50745684730212,31.24285770959541,28.419060201396384,28.403845581225163,27.58831411615084,30.82816008562814,32.08204236635838,33.04877618013025,33.40103409798461,32.556108898694625,37.25137722695198,37.21304624133261,37.49032746587665,36.4751243029424,31.663251511409275,35.81366384812446,38.28826670141864,36.08403149763168,39.77707902915059,39.28865860922858,43.30461489754404,40.62901994758752,42.06777025185811,41.73597476948043,39.21466538195251,37.49565826098599,34.72857579357605,34.29834053895239,33.58529233463006,28.65878748880508,29.023638639390843,25.593344635292027,24.292653176166752,25.51682900623456,23.795275250907668,20.53258113413869,20.65943299240554,22.3024098438812,18.118823236886282,15.279027153762318,18.627632216940395,19.690912228907262,13.52328304161415,14.376649198642937,17.00255064740707,14.02750086114191,10.806505399513682,14.9864795636728,15.61555637689722,19.96951203583853,21.467250863347655,21.44494373309258,24.080191124647325,28.893040021689668,31.0199037371491,34.14477596977304,35.459345547432534,33.7380770123282,36.206295443384406,33.985962731536965,38.2848526086403,36.99846782927914,31.419249930220627,34.58800886582242,38.05379026667764,34.06521968555494,32.27458309543445,35.91494079297423,35.95802454920884,31.50329049039501,31.28498384931442,27.518809513266042,30.049541862946658,32.31212012372209,30.543254412769876,32.57395812395666,34.321979089513334,32.139930615066156,28.569578775588294,29.322471795981695,29.682304457670366,25.51495071731866,23.781852240625447,25.13302530987124,23.02500790076951,19.90478327630639,24.13879785201214,24.066929786913697,19.399692196064922,20.93741744779197,24.89386112808904,24.24874858260505,27.46518387560518,27.080467891904945,30.84893287069004,28.815284943648585,23.764669237088604,27.98638081242744,29.18765322873787,25.91903850256339,25.469448067176636,31.258966683570744,29.798807084486736,25.094698705167765,28.186932333232562,32.46624885325189,30.537747357325124,27.004136094138797,22.38306865046694,26.527990168485726,22.74946744551375,21.950685979553743,16.964036559732016,16.130147351174994,11.358662127521313,12.582361561722125,15.064156856970865,18.858549818969177,19.598344328543384,20.04549800603482,16.920744312815522,20.401543849044717,17.074452330937074,14.48002326147389,18.725680551505732,19.591114766908508,19.952891940374307,15.43726003606204,14.267524562272472,16.360834057322958,14.430065312980238,9.57741728999152,12.567851358108669,15.056048941043787,16.744249615535637,18.64555321239866,19.88124900182896],[6.236196707081675,4.682295325027378,6.5974197415395315,5.982855082480043,10.624735048505336,7.099901413450665,11.026130362509841,13.634576775069286,14.196717890020452,17.743758904798298,20.28862742651891,21.33547010118724,22.54879764606781,22.184596006435402,26.599370688219743,27.58759881856318,27.053600445573917,31.806212485830066,34.96864692084063,36.57642572701574,40.38758481149072,43.62001298876471,44.92931459180079,44.286050086450814,40.68150360284392,37.202937856212195,34.57710241587409,30.782127327002563,30.924997607625073,29.46929241527341,33.35626401878718,31.22960053176882,34.5181919770244,38.770609869086265,36.5090643399141,35.53792945844845,33.46497325344858,35.20976688760182,34.939853702342575,39.99737592464663,37.60319771153955,39.29447524731646,43.544238722922806,42.97087496602576,43.84313508571289,42.3007434724224,46.53161375588707,46.4606290434126,41.78257959188798,45.815877849506926,48.848698008702804,49.17336127828268,50.427689112561815,44.337846877692385,46.517477863814406,50.71283659030208,48.89568650138885,45.400751583143936,49.196998240445666,52.28762723537418,48.87180705417361,49.62397514228614,47.61760690539007,50.32754011748176,47.99976741943551,43.88935656501278,42.10586905117024,38.568593323411875,36.99391574328431,34.37209974645796,34.31214513051273,37.06314812540966,38.01046047636735,41.46387644714734,39.57471993759627,45.491311018242435,43.898511512201615,45.926479162890296,44.59021228279895,45.55484277183378,42.653434776787094,43.56109504161845,40.64634712807732,39.53206466149777,37.15412883666575,35.85889289902612,38.82896949645483,38.574101826871534,39.68211056644718,41.97807996855363,40.434365354095604,43.61880489802251,39.921032795289115,37.17517375969251,32.55590111857782,32.986750226933445,28.79692515284911,29.91123944787992,26.600446887646644,26.392981517415244,29.08810733898362,26.58900520387239,29.707009026040456,26.727768530451836,30.120248020908104,25.228838481063192,27.007224790057858,26.30346948230442,21.88176951643394,21.70166924619837,17.270098333700936,19.36750739546505,16.49930989863121,19.033097613201875,20.850882900150964,22.295076305999945,26.14446382778467,27.757984091795475,32.403780913731936,29.763301054964398,27.465475907618913,23.975528568522922,22.34898921639791,19.19652252040433,15.614084796358169,17.235353916472604,13.525702593105864,17.909048930741537,19.736484940643003,24.38298351568679,24.172000543653308,27.92081134703492,29.856312038629195,30.04156896040896,27.461983192265336,24.18319263738425,22.060526828158473,22.3048397642673,22.306999661444163,25.069590353154762,28.546515061373572,33.01209525480226,31.8781719631789,28.870892081437564,31.322383182387007,29.144356204337818,26.15485870723988,24.1129537873174,22.355112868028357,18.97097143174769,18.530939026092938,17.662209990029524,20.914214631245134,19.937015783292892,22.3637276444477,23.402728378792382,22.719462918662725,22.67113314714235,24.94008424861052,24.02525206808814,25.512329467201987,29.232887984143225,28.759685834654082,32.725286722584244,32.98992145677229,31.77771521345261,32.567413175309206,34.6292961631741,31.417666274846454,28.581595660216095,28.113323507440388,27.055080848273327,29.725672427799054,30.532842644820157,31.142917928251215,31.05660223579883,30.16995637718298,34.63920841052268,35.04303171562901,35.23380255736117,34.75719955661792,29.665937599227973,34.15021122015236,36.888258476664404,34.873200448003104,38.57141626929034,38.11815929804277,42.366504604135336,40.203616340059476,41.526275164149624,41.34754835014955,38.53313693403952,36.941440959911596,34.1060538613096,33.554427510311555,32.931761498227836,28.02530640509647,28.061391302411096,24.745587191775716,22.768137443857903,24.024904783179963,21.673180289142547,18.63172669226881,19.505710969752897,20.65226465046432,16.09429733321703,14.583164370867244,17.701187862700074,17.772051124461903,12.019049543450366,13.79762027986385,16.010581127159764,12.358318465276088,10.452058080625964,15.145454423608294,16.100697180356047,19.75118160248696,22.198132420810964,21.379135934022713,23.65071607421652,28.44943933199755,30.261661659174273,33.48092860460306,34.26910496999892,32.41863678827236,34.59759551879104,32.10969539836308,36.64169823574149,35.747106856535474,30.196563231185646,33.12036241740957,37.00901554940411,33.343866335590306,31.359709396668507,34.98791780131585,35.60324013898122,31.298684945347304,30.7483235467119,26.756568859069112,28.504778944064544,30.64378812044778,28.615645206669697,30.187905875575314,31.709760509517665,29.268854309244198,26.071454398942702,26.72752891900281,26.617511409129065,22.480103147656084,21.16651285661212,22.189835472522585,19.83581369326064,17.16526593801275,21.667814394387747,21.3266567694829,16.676584776811044,18.930779183787234,22.921300156408396,22.566369483310538,25.550661004777755,24.99583267999249,29.048347524765884,27.409559139478947,22.4403835842925,26.588330279358427,28.279041598468392,25.26786615692485,24.774660075511488,30.648371907870153,29.761422692636593,25.22411750899934,28.069627442577314,32.51530888298988,31.09646441616988,27.730056817540046,23.356952961574756,27.945356756808007,24.617910462945222,23.441405466211815,18.641827549191717,16.821790346349026,11.959286298925349,14.496004446675169,16.46284460271972,20.365640225490623,20.530735022486965,20.1183253011478,16.515664971989327,19.352251848170468,15.894438218499953,12.68415029150726,16.014863339868867,16.651381817391698,16.5090754895386,12.382876630668209,11.284717270675067,12.741989331322454,10.673195417025347,6.033100603582789,9.332589517095938,11.509364934087175,13.198218458597143,15.267364185495264,16.752145734712116],[6.449514329116477,7.073965420797205,10.326520606051949,9.497052003848562,14.332694215968495,9.800414901756083,13.185188899232894,15.219062435142835,14.754167880970343,18.498432284793275,20.447905594564524,21.478828716101226,23.477478146251745,22.66362334488779,26.887378303841516,28.26972489913855,28.140904102072682,32.7947375309497,36.06926113017011,38.00158884495475,41.79845201983586,45.27697844908464,46.50204966716985,46.03014249282848,42.527043153369796,38.822306356835725,36.41521151257557,32.45552999436587,32.34597943653194,30.783393506116074,33.947096369842185,32.11427350374286,35.04395175380113,39.416341200927675,37.548799183200195,36.75171417411127,34.95921207340613,37.001932691839635,37.034307526915384,42.36754203400781,39.950154573610284,41.23267515526334,45.577569404692625,45.23859725977855,46.138088233393276,44.839115463802926,49.0892100865126,48.91711222281786,44.42862258175463,48.680991025736056,51.60341846530032,51.97857136080974,53.02656042945069,46.873574650649296,49.08660327275545,53.08173318088197,51.14186760861692,47.53460192614344,51.23735029875146,54.36549508684149,50.672491895479574,51.11473655268035,48.87198493593712,51.55775078497453,49.46418677910285,45.3295215360428,43.17211158591435,39.49317561587345,37.68500138326982,34.741887693028666,34.61367737315442,37.04383654665506,38.123996422415225,41.90596172140714,40.10525854743396,46.01867942200648,44.87831087315097,46.77833507973099,45.79250332293163,47.10926796536846,44.37151167703518,45.606424930661674,42.77425497632414,41.96031534444565,39.623392218035015,37.96204421546159,40.67083923403607,40.18774936873306,41.02164567680049,42.934685740377525,41.1486371734472,43.98179831448144,40.129714217526995,37.317478723456176,32.73604998427411,32.700684116505414,28.56003283377802,30.081866872391583,26.89058888524867,26.602338385206945,29.971039404529215,27.924995928038598,31.366071229629444,28.853653172347727,32.788947360539844,28.062269072907565,30.034457059611526,29.67493444679684,25.32847475245073,24.747815402655963,20.385198942262676,22.23906437819289,18.88275575751715,21.49961010640302,22.56546765308405,24.193886684585948,27.766371971169267,29.525867994781542,33.70670325046895,30.855226648507557,28.439118180212233,24.9579984432887,23.762727097566867,20.86978422530513,17.48471403710006,19.981166351684756,16.69420043068359,21.18973035085961,23.226227042739193,27.7333191909758,27.887060432334522,31.596120744579398,33.51030927822472,33.43993155402237,30.9629326371518,27.49007946746047,25.676649839314415,25.49966355261246,25.11842310445943,27.746953147105614,30.944461256200277,35.39252871551875,34.00628205435483,31.1488578757062,33.62033844018656,31.150705974729135,28.279245150254823,26.103529125658255,24.57200486908237,20.795812596170137,20.51795262757472,18.7099121243486,21.93101419944234,19.82824641120757,22.376322788202934,24.117094842509037,23.729141779536207,24.303565563932985,26.54999770089197,26.401467548817426,28.166237951637676,31.50350778048342,31.36658414562388,35.30302632548091,35.970454809510514,34.818329755029886,35.91593091982928,38.0133012681951,34.95409130210601,31.941602685811986,31.547455262505057,30.204439332143,32.797770690346425,33.42851482800369,33.74784475179235,33.49975348044307,32.17340823220373,36.72515494415281,37.43628954284347,37.827995551903534,37.652505296177154,32.63981658226068,37.38985678095108,40.23361123551846,38.15420755715186,41.5931510661063,40.86277220353538,45.3120201412879,43.152041794956645,44.707680269679,44.71017029876046,41.89871180210946,40.509866251345144,37.759322031328765,37.29862027604746,36.78633223079279,31.891491162892027,31.924719921948547,28.63997991600225,26.508568233334557,27.680467968115696,25.087450648747062,22.245198646529605,23.230528658221445,24.032825272757268,19.425469676322567,18.320319729294788,21.062499397090196,20.551388567029505,15.082630333985136,16.74511113353293,18.392739667799088,14.380114293150422,12.742843093144847,17.130446331853847,18.66924234159978,21.84493707865157,25.047868463861676,24.39031944480136,26.316586005935854,31.31900168630391,32.69792339449437,36.352061860557974,37.111040250792556,35.499458683088655,37.70986263917686,35.31177083709914,39.969505532179554,39.0921037371146,33.713501749895464,36.66367410931856,40.62653941151182,37.03259998517265,35.12569911286929,38.79481100466792,39.43680596832385,35.1354909240797,34.671971696154976,30.608623575876017,32.201323650720745,34.24241879143437,31.995074120393717,33.335842826378936,34.51886974256271,32.04293736075571,29.18109827784728,29.455675703184298,28.986933550110987,25.10801674852266,23.93640532920303,24.324733936127238,21.70351762756284,19.476734912354928,23.758370652428543,22.826285003162965,18.026209863349703,20.754320395319642,24.657379844167775,24.815984214183715,27.983572004949394,27.76946612815416,31.913286915990273,30.09483043336282,25.465781141505133,29.81941774480861,31.427396134297663,28.42081487715457,28.305221039376388,34.093263939008494,33.069554135799244,28.726563904050327,31.775345995259492,36.06387058640191,34.51872551058269,31.241239977737,26.843872251761706,31.236542218477016,27.75135916762862,26.346832035416245,21.711032926514306,20.18901962846346,15.370884704471434,17.697668768514323,20.00857768447139,23.897552211252403,24.314451846974116,23.95870072960771,20.46777936162879,23.229893425952657,19.665500188430936,16.42870810839979,19.212853920231222,19.542358768212313,18.883382285200465,15.365772354891806,14.153355700764182,14.595514936351462,12.57921395378072,8.733548208987749,11.026553051077164,11.912982783032529,13.41073536049381,15.438678236646329,16.847845729860097],[6.5736416413258425,8.254148876814035,11.223988287926677,13.032056703862136,16.598777707031193,11.569188351976775,15.162113784824282,15.76606598026528,16.267903973668346,20.744510078534024,22.346208357186352,22.271592818618622,25.09607785659062,25.19415409673897,28.770008309801565,29.819675466302993,30.416420169429138,35.11246040564063,38.95789552758332,40.44055032099651,44.48768985788579,47.75267568178897,49.37094869606915,49.13694320822064,45.49407322882254,41.91455077146195,39.154309715375014,35.110360972248955,34.43415003824035,32.21301666641793,35.415673445539724,32.803896715338794,35.40217531217617,40.05288074832252,38.35700768296051,38.17104947508681,35.86399448896617,38.69848958635794,38.97437207943185,43.94413929212533,42.25089565368254,43.6088289196724,47.818109213301796,47.72363867560236,49.04142391920571,47.81122030066543,52.06828988964072,51.517372555420806,46.86818795067269,51.18029276870772,53.80986320222643,53.88155671897372,54.9085484759471,48.72679068801317,50.447362455035716,54.54788501425697,53.04300636812523,49.17650521781573,52.5423866693461,56.09746998179552,52.62735940553934,52.830495692976044,50.43607488019079,53.60400049982848,51.66328111376965,47.33839463889318,45.67077647165702,41.74016798905393,40.49242032088103,37.296339702250535,37.61923527463352,40.12431461497813,40.677133173381165,44.50279768639072,42.13111078267827,47.74763654513742,46.535820015513636,47.938509571214695,46.93302013075241,48.30743979081144,45.2165972255118,46.54456799175069,43.21540895114045,42.60619266124228,40.81558456316649,38.997031030556585,42.06878861893596,40.95592243222149,42.440250191725355,43.766555347027236,42.424218605058115,45.270601998660744,41.35324418007973,38.19602649856193,33.8561731501776,33.77772469405902,29.957575483221262,30.547445884116122,27.082123242009597,25.611626021066765,29.679423882716776,26.8943579952639,31.105094905473706,28.15462135373241,32.38742392168394,27.742366878644145,29.140751895910686,29.238553776896303,24.95614780559572,24.052459835378837,20.3315051620979,23.07894508856804,20.245531716021333,23.694240510003368,25.132124841372157,27.35516572862035,30.839616754149876,33.102779012422715,37.178398706632876,33.883171492200546,31.891968289807725,28.301316760886422,27.64503907685936,24.453719191681426,20.708874146943273,22.81374048021159,18.328996645244583,22.71975792698604,24.11300888948201,28.218104829387336,28.70871023826981,31.829104767044402,34.37879179002673,33.844270377014595,32.28983624060217,29.185525008946083,27.784199870707734,28.282613235325798,28.50501990417518,30.793714529876624,34.6534761665843,38.886028532169234,37.22518486699803,34.116688829450645,36.16244200520352,33.33763518505924,30.65152699017432,27.850022286171892,25.721062566660233,21.788338971675255,20.324304334038157,18.175989912436215,20.113943833284658,17.478092552180655,20.909828512509634,23.00583432123463,23.58387185097118,23.82194097586464,26.93036563196295,26.678072957608393,29.472940396061247,32.99123973541098,33.61775612424413,37.101472758485144,38.01549817922907,37.526690005620694,38.161022226204096,40.642503910264786,37.45880320217778,34.72277901578367,33.83188607462398,32.59236536567409,34.52896664631762,34.68744044367807,34.688838425164995,33.79796782292897,32.726416044148834,36.66180251437585,37.99172552094928,38.04581097990136,38.54279319277945,33.09308455403772,37.95333411320453,41.02126501456086,39.37371539843311,43.05692342598973,42.63377903137642,47.15244811255972,45.62697048955308,46.80798581706721,46.77038184467148,43.64637611414276,42.1350673879089,39.19448662376495,38.368693855865445,37.62801989374642,32.85182353944469,32.202963857208005,28.824915625517978,26.179406023532096,26.681739357265624,23.54135407418211,21.486672944185518,22.66211464629907,22.39279664053447,17.838329522603697,18.37372206752222,20.00735290775718,18.00796762617452,13.753142360535392,15.86500018698002,16.365955104897232,11.860216797724247,12.122631503048135,16.187247597023696,18.369377355356065,20.13409110322736,24.858842899986676,23.48979181015121,24.589316589776686,29.589514403970757,30.216442257135192,34.28019305996819,34.53529243232561,33.16520068285086,35.210615396998726,32.92386535060802,37.81524332901569,37.14605438931934,32.2295221228371,35.112442498077016,39.338451968586725,36.165516056362186,34.42636706802312,38.2200139113576,39.21860212102777,35.13408480213749,34.96066520231897,30.413209965201744,31.44207958027966,32.98148178858564,30.090959448562625,30.98288227289436,31.440338716452647,29.16721836119174,26.871936816081472,26.295055365423902,25.40654333967802,22.132234446814433,21.001306055114835,20.431186640417,17.590445522144805,16.03595261502331,19.936156955940195,18.35448216100763,13.656717758502726,17.12340442203577,20.7941135935635,21.614795243318017,24.678849034878475,24.79655803224633,29.08087785828968,27.352102631300497,23.36919504813117,27.809833593045546,29.597038325421323,26.922789967543732,27.353073083809427,32.88207512533102,32.22797718656449,28.495664308812856,31.58090140008064,35.61546536575136,34.48520786029396,31.650539843335324,27.687522941972603,32.26481674366394,29.348684990765257,27.143211425992277,23.15320151619246,20.833889950503576,16.426275177718658,19.920867662388996,21.948008476971246,25.784417595478462,25.989007630030674,24.62054182196218,21.516542118158835,23.684272582493254,20.793626431596998,16.600083957735357,18.014520232251545,17.302675693248197,16.533643926725258,14.38800143786864,12.159508790762164,11.208116114789469,11.006251390452592,7.842841371850156,7.668765903247444,7.153716266200915,8.749554912091789,10.936999276209008,12.741486823565376],[9.060073306227284,11.931494976057648,15.693491973643757,17.33142506268793,21.391917869175824,16.282142869812155,19.635239879870223,19.95695367716509,19.82287660646327,24.28790335213477,25.36934597214222,25.181168149411295,28.639957894437266,28.42216254121106,31.732408195821648,33.07308369551109,34.018840869856504,38.587111603174044,42.49621017297283,44.213892493510855,48.23202832586216,51.66447207683666,53.218438890735605,53.10463779972282,49.54622860672477,45.818977194736505,43.22863730506924,39.09462864973757,38.23751492150893,35.92370198101095,38.49842685120563,36.08864545881619,38.28439393749567,43.025438790278045,41.715854248660534,41.74019170469417,39.62315609395252,42.718715010946866,43.21004396907944,48.3199134013711,46.64174866577313,47.733687647321275,51.991270319144455,52.05396906089238,53.37878808284426,52.285394930341994,56.549506351954285,55.95440413744865,51.42213025896571,55.84095152973524,58.41460206207794,58.50877575372817,59.41853211448872,53.20881033363148,54.914112205502775,58.88672713327057,57.33465351225392,53.38653756332913,56.6471199882239,60.25487908978893,56.60825276567063,56.55386656520917,53.965344938559774,57.13700519225497,55.40260223118385,51.067752215507326,49.131808347697934,45.1004500873411,43.6843146274799,40.234768354355964,40.50289236851347,42.68322184533159,43.34183895006769,47.435882874160114,45.13298745345654,50.674394336481846,49.86588893443808,51.09381676288079,50.39522448752229,52.05385570726091,49.06635264151071,50.63721039192275,47.32245726649855,46.93747995640045,45.235965218099686,43.17975199411686,46.08430067462917,44.74500849694962,46.07448122177048,47.0045885612693,45.517064652533584,48.0154067220194,43.98396429129212,40.75630154008311,36.5521693882789,36.01530048082285,32.3660821861123,33.205072459063935,29.889402987962633,28.154631590026877,32.86816909673023,30.372366945974246,34.888035442895685,32.22814495719552,36.77406828473182,32.26987546494053,33.62212154839372,33.91176226243155,29.681438144717493,28.642409645107676,25.081766883224383,27.781150331119697,24.768336364708528,28.21267236358703,29.22188675543447,31.50292393877704,34.80402575315114,37.107342720583475,40.86085487878463,37.45505276247233,35.37780360783416,31.84078316447186,31.42849504310345,28.449589840964624,24.879568635895204,27.40167953700965,23.14929149048531,27.56881632311491,28.99594425965549,33.030910496637475,33.588309270872,36.63300915049169,39.257293336097966,38.63859832824016,37.1800630419298,34.03498028997016,32.65076940293098,33.02217181655598,33.041202500995226,35.33287540051121,38.97637166277427,43.23320017567663,41.46579051830179,38.46562142396393,40.536784105481594,37.549992431679854,34.94918256392135,32.08399938225962,30.08874163376785,25.975330506880887,24.546226010583712,21.809053201773796,23.384832495411725,19.7102610214067,23.32616331695775,26.0717006446595,27.04771543498591,27.69046964389954,30.833075290743675,31.059006251553058,34.05408807687783,37.3484003026541,38.17113926184773,41.62964300719235,42.74187329987957,42.24491074777361,43.004037395334855,45.452565245739756,42.285626380920206,39.499486545814975,38.68182651142744,37.368099975149946,39.295870494747604,39.36282107699579,39.19395594216595,38.15022139567669,36.841705320968956,40.71148159080833,42.31546053609065,42.44455366544145,43.17933896677434,37.7448857800151,42.705531600557826,45.82527476656004,44.19443708114766,47.78179012309164,47.23798628466358,51.851933507933154,50.32725234563483,51.608378889751776,51.6267954034942,48.50680255698137,47.033067144976386,44.09676366897881,43.25116823164621,42.45282515636372,37.683187780608485,36.93069790183168,33.45633004977002,30.83686242248352,31.010341758287367,27.832038120246583,26.074129650989086,27.01039944029662,26.359539394536327,22.031358754757814,22.676788806151674,23.792541511939543,21.37603824348199,17.60666714449836,19.264612746810613,19.087963320736083,14.736290272752088,15.128913387947012,18.37571086617917,21.10383110620522,22.148518958213813,27.658498561942046,26.555365293060895,27.16481927604473,32.29592693537446,32.32295663312511,36.9133389675416,37.2157350504418,36.28369667122123,38.44559889484695,36.47843050381648,41.419112226939895,40.626236450822795,36.080888602781094,39.092103155139846,43.244560091419274,40.14456024076296,38.65491982552887,42.548844927161895,43.40959413212615,39.33412956194038,39.533204835894146,34.829203382310304,35.93349055570896,37.257322542513016,34.06661566657175,34.837125933464975,34.80038579387226,32.7863815858918,30.816955481541722,29.608452903872372,28.537343397670433,25.8115820962756,24.571158655103016,23.26552470114908,20.388774735349266,19.272631436740003,22.43959015716678,20.222703475827533,15.737896928913242,19.24742381443967,22.52343736273208,23.957949216104456,27.2267963364364,27.92871173925124,32.109378532772965,30.024617156616134,26.65692359397081,31.308673946221734,32.79369969620899,30.145592680315875,31.15784312422024,36.43432516481796,35.50373803701605,32.13292148974517,35.535222392289484,39.22677213945885,37.897237286630094,35.25850747971107,31.341993490119783,35.606008671158506,32.60203119910248,30.034582406952854,26.410468505261996,24.454501130343456,20.248716555470725,23.505562573797008,25.87897539619661,29.655268147982476,30.2214408407315,28.900239248071042,26.178347716565856,28.44282713968139,25.685401099950166,21.40387714863965,22.609045142929126,21.51144250446349,20.66229522113719,19.089731632311754,16.57291601509583,15.0568609366166,15.443015595697595,12.69525701636133,11.555072141747432,9.878342986396767,10.914152882748,12.5403120680738,13.951410871559297],[11.55418978162039,13.849900903887995,17.265662505645636,17.594659737986234,21.59414662080559,15.743974698235224,18.376234419098733,18.53059069683497,17.369553212383508,21.615101370242176,22.24276954648934,22.251573705381997,26.01400812343587,25.35289555721714,28.499078002563717,30.1539917159044,31.276180626511486,35.67460796007036,39.56694977373509,41.56084263603544,45.50070347385667,49.13453548744495,50.571685906514375,50.609768266651464,47.176080525306276,43.276817133206166,40.92566074537159,36.70551181937985,35.710453223078666,33.473457297658385,35.43037014402111,33.48598770695169,35.48045978365441,40.16427499593678,39.12224884093602,39.1218763466756,37.40804494269923,40.525555968584435,41.24820235004676,46.66477934578021,44.84530120101716,45.50929601019373,49.83909811176318,50.1103705591005,51.43180635264398,50.62241463695991,54.886459164302806,54.18369843905315,49.90806525554744,54.57399851816555,57.0220676141538,57.225147807635686,57.88543738093827,51.63988715550688,53.48615799852141,57.18968821343819,55.419705000822105,51.434268155455314,54.66554523214104,58.18591894297256,54.24762773711183,53.96453242084312,51.22865714600778,54.26250474983406,52.71061575852371,48.41903606650881,46.12847987029614,42.05916311726555,40.43543478920787,36.82389544249985,37.02378371072236,38.97392755269945,39.72238884328298,43.98386918558687,41.83423422110005,47.377829456489394,46.92237709003139,48.162635604629216,47.75136690588845,49.67939496377348,46.96853597648065,48.80934420138797,45.776810618090494,45.635644128563825,43.81341036717158,41.44535433275327,43.96925556331979,42.6168858180953,43.51095442600502,44.28284804948041,42.500218724977955,44.72236795592404,40.63757488575089,37.488116341036466,33.30008865823557,32.472398959158255,28.844455879999725,30.182705000611083,27.108027844922447,25.824386999702128,30.672471877324966,28.95930020019432,33.322039501418004,31.375954990738265,36.30344805937,32.02181124623768,33.95736093997132,34.48674565778334,30.401979583314844,28.95395492207988,25.19629629306241,27.158160534099665,23.57856475106564,26.831974760990285,27.089423693758675,29.44896788304215,32.43139170746837,34.844718815807504,38.12539543550479,34.59548010160322,32.48010452762609,29.028381244352172,29.024702976655767,26.312013449801967,23.01694254271677,26.267868940051187,22.73269104694092,27.224144816942317,29.13411505904673,33.07890770522987,34.127115949938315,37.363805347769485,39.62575051461019,38.75025817087582,37.1244151112006,33.61310113546386,32.68244016807655,32.3536919673818,31.924059389093106,33.98879251731017,37.347726969819625,41.49915119993196,39.45706754130261,36.644321790969045,38.727936281591724,35.53874830105977,33.06941077615496,30.2363393641787,28.64151423303323,24.330672230733576,23.5186094473997,20.189200422805268,22.307270030603362,18.119555937939715,21.20378962761137,24.25974080234446,25.037067350904202,26.351573879954593,29.048457035848433,30.04476334611762,32.93189689888287,35.73067534927291,36.74952847542799,40.21075353748014,41.74714551536628,41.28565807158041,42.51686240482866,45.03351972092424,42.167374911826556,39.06639279116483,38.35396530879822,36.602654542197335,38.50192389921837,38.46379143530475,38.05765826908909,37.08396372097782,35.248430353050246,39.39333574326566,41.04908870790486,41.53350102064228,42.3604074998439,37.23945791047347,42.475857488001346,45.65143606826014,43.78565458053702,46.923889984039995,45.9674671720305,50.79179193372992,49.20049130133846,50.84083162364689,51.15656664342806,48.090825432110684,47.00402562751047,44.27964878861903,43.739108230073555,43.33615317315911,38.558564299974556,38.17955180253287,35.00777490413188,32.22015934189884,33.053837841940556,29.730564790280013,27.614653266576262,29.12560863656351,28.90458164044403,24.295957480106274,24.794411719104577,26.59159318014374,24.46103744466055,20.323215386800193,22.283501534233338,22.644827840045778,18.166149459040945,18.175997799546565,21.930158387367293,24.344623949266893,26.003870749432767,30.93988291486027,29.86652030924104,30.846789222864295,35.93361169202356,36.26851018101419,40.606401263433085,40.820317125563626,39.57913065830839,41.551749208329674,39.21079338224268,44.1611006234353,43.62901905642003,38.7563671717898,41.52041847316142,45.85341771491806,42.73167237165501,40.901166629320095,44.61115465877312,45.71995511171561,41.61975265538657,41.193975015132,36.81045575706785,37.57178259187878,39.20492765970645,36.35501328508336,36.91971310666377,37.199350473369726,34.66360202943767,32.80048192874469,32.1953059224577,30.788056707163904,27.714030129593983,27.08041522974365,26.04061764585743,23.006550047140152,22.126282011783196,25.783104190169464,23.663908968002858,19.22027797330952,23.008128848783816,26.414217381577927,27.682763433931182,30.75347119101232,31.02268665873747,35.345244774583605,33.6136817158252,29.87332756729832,34.3169721546169,36.10786602328236,33.44257914677102,33.947967738966426,39.47025558485571,38.7287899551629,34.98607559738284,38.11852139174688,42.16087099247136,40.88938520357733,37.98923887738576,33.87494421707235,38.27854175109749,35.04772382596151,32.96254212665323,28.871268940107367,27.01247594843646,22.45622484827093,25.377433848175244,27.70240500534889,31.582788773411945,31.94053835703456,30.935592638055557,27.532062451206517,29.675349288841506,26.257399154776067,22.551808786788847,23.701096629918087,23.180957252779404,21.578692507459643,19.82574351113663,18.379229616995403,16.73402027924823,15.605881914188027,13.788040055948379,13.992603257396407,12.165823869857263,12.937183619296679,14.555664420268528,15.829074136056468],[10.141200990340954,11.922299731531217,15.297464669991443,14.687260109883729,19.048600627675327,13.44996996370222,16.06870257211375,16.978082717065732,15.548291596120375,19.49955370504551,20.493634351536855,21.126810786430397,24.27339011670207,23.24037396349415,26.856014355470887,28.59266348436914,29.220386831008753,33.670193913076005,37.257675869929045,39.406685758726354,43.239894121334046,46.92857366662708,48.18938258642043,48.05260488417738,44.652343502497736,40.7360409688058,38.497079667710516,34.34131384379218,33.70110094023152,31.820460469855348,34.01092978143384,32.368809634390544,34.69892952389268,39.23048938728116,37.94466377927855,37.5571926949989,36.01226291040041,38.64576188234996,39.159795668012165,44.7050900309021,42.517460898600426,43.25864861662498,47.6464260254133,47.7250651106931,48.82787805244459,47.91669970191848,52.177621855584626,51.694674890143,47.44102999412656,52.023220629245046,54.65262357579605,54.994964759060736,55.72745146795979,49.504033778774826,51.59762927764926,55.31697423271343,53.354036346069535,49.527395929645415,52.974737210150536,56.26845395121206,52.28962321195643,52.23305866275567,49.64602918864743,52.44136414016618,50.72478295620509,46.52423075026935,44.07796792248003,40.16376405742477,38.2984575404428,34.89388559069664,34.87002158638581,36.90094917407482,37.90614067109972,42.06914854588635,40.18753536906941,45.93501431097008,45.359709300964326,46.92325224933165,46.39766047394383,48.18517386782158,45.59415128620267,47.28823341265907,44.47300972660779,44.13229928546171,42.010490738167505,39.81980120556871,42.24891359725485,41.29266329624275,41.936709280653034,43.16124736025478,41.208505532583004,43.565997840088436,39.54187231086531,36.5818562265042,32.19413554532561,31.556465555369474,27.665785136864503,29.405087208032178,26.384031594565315,25.771413742246583,30.050052396080133,28.531665741205753,32.441075752649354,30.538616488302523,35.19780443271764,30.792170574853355,32.962952584687024,33.18514712697529,29.025056205371037,27.81133507229283,23.70516628582722,25.331984160771338,21.57592117497889,24.454886871414086,24.684610805937833,26.73586185296687,29.84025061588841,31.984259963048146,35.4467126738868,32.17659055529637,29.852203139084136,26.41861563009806,26.05462878433432,23.419011043503573,20.23733542061628,23.55520434225106,20.480129792529326,25.01048389376233,27.17580056285186,31.345990570065137,32.16508399523594,35.687603592621315,37.66102902712201,37.06425397058438,34.97557163936124,31.329226853623855,30.16026677537884,29.594471572870912,28.952576848320437,31.1957996467782,34.299145805229365,38.561188266148314,36.70796138294932,33.976595465870275,36.27231819297811,33.31922234347688,30.714488841113422,28.202741510193107,26.83174433539985,22.639089628456517,22.345550519726345,19.389489725489113,22.254501700408333,18.73481456397594,21.383066552799022,24.019115048967787,24.18607166988063,25.488658609007114,27.797755936062003,28.634509986583335,30.971467635925553,33.794528984828574,34.357479660251194,38.059854945042716,39.37829279805262,38.583944759829656,39.96863332026971,42.29466958959321,39.461435396952936,36.270221419416785,35.77336276580943,34.02910230610654,36.258392011815694,36.49151757819653,36.31688303435433,35.70405929280727,33.85747157775479,38.32539558009447,39.57891371765628,40.17615518368323,40.58304552601571,35.63416762173005,40.76569502588619,43.81110360790612,41.74809506593387,44.83950273967925,43.8025201175132,48.54642690971447,46.63633415009105,48.403625001051864,48.69263172647314,45.778879295049975,44.701676270976435,42.049241609990894,41.66183451898015,41.342971886874516,36.507210908566016,36.443093688055825,33.30464114194748,30.769384572376353,31.929706490965682,28.882034903151347,26.350607421672166,27.77323023634108,28.095352047158656,23.40602303094063,23.162931683974723,25.51194974276451,24.121512764266704,19.309965585201372,21.16783269018326,22.14701157108255,17.79182655541028,17.000996806278405,21.069194353308756,23.11857492010086,25.539235540386027,29.663887070418276,28.84908110036807,30.30283275678808,35.388606244403945,36.21325319923795,40.2615359052448,40.72900093309241,39.286449179037156,41.34559203092068,38.90578204951975,43.742521808750396,43.100341285381646,37.9282936682348,40.73314102323892,44.94108169907895,41.588105818261404,39.650871742936246,43.30220153343862,44.24116101977701,40.03393770947669,39.44653552049448,35.29552870130573,36.35273238431019,38.25310162269104,35.74535309249041,36.599476536820625,37.3404919335887,34.69426282758188,32.42529743368694,32.326965077292506,31.230446842769066,27.71747355049664,26.99184484851505,26.58691710229094,23.65827129993229,22.25464687531503,26.286742069431128,24.639470651911488,19.975054342272983,23.41160516470859,27.07982397871863,27.883743248574184,31.011341779151635,31.02137097034651,35.31296881220669,33.57038747220962,29.37528755955041,33.776659300190936,35.52704049368881,32.6845092691925,32.84582196069965,38.54214650555128,37.66738470519449,33.579443986327554,36.65042316638293,40.86431629602484,39.43470542545436,36.302352267694864,31.9965431442593,36.370191232921215,32.91997526353015,31.24654158565726,26.826803934221996,25.236087846389243,20.497455918426116,22.982251063731695,25.34782867382504,29.2386877999715,29.628038241289925,29.04650744166245,25.44662334543402,27.845515817017237,24.148526897047493,20.837264780515216,22.668278021140285,22.660026102118856,21.22123852832818,18.666789523310968,17.599259691788554,16.736549720841786,14.782074220595362,12.422648466433843,13.738227642076223,12.897421843295003,13.912480344426058,15.715910655670445,16.994081044576692],[12.606837453754732,14.766487590914029,18.545868814661446,17.468873390577542,22.231752550686412,16.833818420056073,19.186860500816945,20.192295801522466,18.14785228311439,21.717407984872334,22.34679551265329,23.239102005559268,26.545543399477022,24.97722078314673,28.498648878052553,30.564446141842737,31.22916242289991,35.48464359344402,38.885027016966816,41.36715459792346,45.05229241567862,48.930355157913034,49.98929822533804,49.88161396219606,46.630563013106155,42.57845154400091,40.628727411800504,36.473069642601565,35.87224906462541,34.15929694824984,35.790879439067204,34.61454774530426,36.71938544205587,41.17759615202951,40.1515993185492,39.7193985855332,38.52331891261611,41.075909408452404,41.68375528488835,47.42771800461365,45.02850287876556,45.508587511154516,49.9522075184778,50.08595407428034,51.05200658946863,50.25257867628438,54.48978471640308,54.09032697131027,50.01782112598626,54.654326573415986,57.313933045137674,57.77501402915907,58.405271244694006,52.19436324553223,54.43487602178402,57.9928205243288,55.843224165166006,52.056565849102235,55.518125356483665,58.68807106603199,54.49845982934707,54.310862802433846,51.63076540583037,54.23437693552939,52.649447387743265,48.536377690117725,45.70309249903767,41.8284198669437,39.63657142868529,36.140794588506985,35.90611761391381,37.59274560038657,38.87657314745385,43.21724285215313,41.62521735569583,47.37456007233603,47.170875257977904,48.7655278077052,48.50462187953381,50.49475362705956,48.13154263316703,49.98359717980706,47.36803917619806,47.13915449615478,44.915293190092704,42.596496572358554,44.74800288596623,43.83566722831979,44.115251500671576,45.22122904949605,42.99587515932912,45.03910793184882,40.977160416491564,38.12136271181952,33.80348449107982,32.80539153082438,28.995184960211034,31.268436167949503,28.512555122648603,28.132397589408185,32.59214500231674,31.5412413529897,35.3932243501596,33.84584115806664,38.625434246053196,34.30262323890682,36.61088807444786,36.83865649320957,32.68949132352562,31.46499578018419,27.304655433481244,28.67870322966573,24.719940761969813,27.33048938239739,27.10688533771974,28.99133009954116,31.896540603563235,33.88972112097637,37.03556982673001,33.85952200632657,31.363754881587603,28.087979193807623,27.79940512040547,25.515222521779226,22.685148880470297,26.347261748982024,23.7823847792205,28.296227135299517,30.628666259156084,34.83695692676067,35.62679399143133,39.257530070192516,41.09229650332148,40.55552376712777,38.278944190170286,34.51388005589908,33.278914980586244,32.42326572586546,31.457235481148818,33.74645067035115,36.42946233454326,40.71066838030175,38.8601610565173,36.33654104582926,38.7527487769515,35.80663372313788,33.25245800524196,30.9136785493547,29.838089169151793,25.62125402408036,25.663564000302205,22.459728570645794,25.407925824642124,21.44754695976919,23.88816023707563,26.812697870322527,26.95465727973251,28.62256052263958,30.675127978287097,31.88160802410733,34.05025818571041,36.6137557500698,37.10120936424567,40.8847359733524,42.28968272244346,41.30455435158714,42.93344539428373,45.115784982066806,42.36966145130786,39.06867168653954,38.771080509637926,36.935125788233236,39.32200640216254,39.61824017107479,39.40613655208714,38.88180320874077,36.78327470650507,41.37879176561933,42.63181401100357,43.399315854199926,43.77351716873033,38.994875675680355,44.16128263928294,47.17363789685576,44.98933870049021,47.90184679201874,46.66180569596126,51.444285149733915,49.343017872355006,51.3157611644242,51.67783831748217,48.875095182687254,47.89154867431585,45.31847612478844,45.03877367734581,44.76652566797605,39.9083954589351,39.972790578314644,36.804394948012614,34.399380363206156,35.54846973395854,32.58523740527837,30.017292283124608,31.275776045057608,31.638755886003693,27.00172890548248,26.47818423111683,28.801588944448945,27.506454044607835,22.615693024462967,24.181070755021484,25.07370542857692,20.82766898718425,19.737687594686562,23.4746681403173,25.66249883874153,28.053802651833056,32.218712322873444,31.736795058517256,33.143026294737034,38.32669820398385,39.02670496635363,43.27278133710223,43.90823305891043,42.63407778573951,44.811338196247995,42.49884722766793,47.3293681019504,46.56309653181842,41.445647936552035,44.35070182922927,48.468811614374964,45.0295611281789,43.17764719953484,46.86261100043305,47.63079791372397,43.35885865703166,42.89758162581782,38.77925430518299,40.0201826315967,41.93998331545454,39.41941707124845,40.32125623356699,40.987069421949634,38.40055620412915,36.15311284958307,35.930763364327916,34.8274248344762,31.4164411299911,30.61287458836896,30.05819411525493,27.121205499430022,25.741883764874096,29.573358356636806,27.759955007238062,23.095839690492213,26.432477662241883,30.00788704820234,30.958243597307792,34.24546201342248,34.474128605296755,38.715541039226146,36.748024983807596,32.67986530752657,37.20988934526785,38.762666793479575,35.830993796322154,36.17363732468071,41.8259890743061,40.68909823785812,36.63083108745588,39.88032392519329,43.97896988781338,42.31165698826494,39.16470886656234,34.76697772426413,38.89342511883563,35.2281531750447,33.57677510196662,29.214466447931013,28.045204214961327,23.341072272118506,25.397837246094273,28.01916820162162,31.86067894251633,32.52098278640115,32.2260121653086,28.75332915072331,31.340884609866237,27.570924027428934,24.404692283235757,26.408052204228635,26.400891472501453,24.94914478043816,22.396080760193477,21.288590741094186,20.407764865531767,18.489600465328618,16.094024530237057,17.24504265854833,16.225102750967395,17.11726474244356,18.71044011591172,19.763222701716863],[15.452402464379924,16.769432638401632,19.76781981992823,17.528838248642888,21.81092542649304,16.24719252745599,17.634433832703337,18.673850526392698,15.664423566939789,18.58102419480283,18.877706179304507,20.261582041806165,23.407839363675926,21.282940033708336,24.764862016401693,27.108623902115426,27.705655316115575,31.746989310959236,34.97990706313029,37.7212561404038,41.267422170332125,45.29548386949187,46.201245662762794,46.1773051091744,43.06548658039195,38.90152601161123,37.21382757976777,33.06239185447487,32.469492598528056,31.00168667812471,32.16274253404397,31.551271904794987,33.607186577504116,37.868965344391604,36.96364668495097,36.34870462410845,35.58976489390579,37.928206726969606,38.65808660761033,44.632338056188274,42.03152184298498,42.1531293960254,46.630572989629144,46.88879588393518,47.793504568396564,47.23192714249717,51.43141269657774,50.98167966313219,47.17910992157911,51.97327386769674,54.53537467803971,55.12453952271373,55.551957338425986,49.37217230537148,51.78461445093459,55.08699103177572,52.71275753032114,48.97882974819152,52.45668327483448,55.45374238073309,51.03984263872484,50.74603280618643,48.02498374022224,50.41233681128311,48.92439551996421,44.91034282412296,41.75795780753236,37.94272730137317,35.514093156140525,31.9957772839184,31.62320915500016,33.15030866794574,34.587292715847134,38.98719803127491,37.63289894773496,43.42218317328522,43.44501707462563,45.17317594434017,45.09358496092869,47.22582224205428,45.1646356335023,47.163389470111895,44.90230354971708,44.80710128139809,42.408087973908884,39.9163459344143,41.6742262393392,40.91882815712374,40.727168047690206,41.88452541466321,39.37016640600775,41.23824059341883,37.205602495322026,34.54350303278665,30.20700996068101,29.085847986674608,25.226346252928828,28.095598544527288,25.661946240725936,26.04240226799863,30.16746754019221,29.89815238390223,33.3050580180516,32.42325905834861,37.30089902903092,33.23780386694467,36.059691795331155,36.39892994247202,32.4709387725526,30.996877755240764,26.727709956151386,27.28815330255074,22.93945022309865,25.121257719172686,24.162148752478483,25.966258178450513,28.521859296090238,30.512993906671404,33.21833366485172,30.047551701304215,27.49279089739927,24.369663236272086,24.39684404330029,22.472982354994908,20.093148484292033,24.33625126850046,22.713310813429185,27.075070724481627,29.819840653613543,33.8675128904708,35.03341496141557,38.810635517109205,40.215423211246375,39.51884250841661,37.031923881251075,32.99127742246906,32.186218229494926,30.64182838734609,29.234655281775982,31.264334824374245,33.58141947919442,37.70623707698386,35.65899813289945,33.36909707557259,35.804493713304105,32.798860854666216,30.381764241742612,28.244336307228952,27.655848417947375,23.48170029941316,24.281459695659173,20.91201007057789,24.472926586461824,20.687011926856282,22.303179172667832,25.115623752550306,24.784234555430743,26.959118353795258,28.379331222558147,30.161714390071726,31.980424698799187,34.0392917380248,34.55737264774278,38.337588820113,40.04793283190749,39.04882563083327,41.119315876942785,43.30990787259033,40.90352172514796,37.349622009822944,37.182373040913326,34.9698826264932,37.3481489254295,37.61477080736047,37.266712915327304,36.94005894827402,34.427077384122924,39.290590599507745,40.41134447749964,41.51188949189484,41.82302798747852,37.46536516326612,42.74556620506815,45.72523381185446,43.31357354000599,45.765703162858266,44.15366957578012,49.04327412687469,46.84159922591518,49.139331480618175,49.76655829927438,47.07698867715367,46.467855054656816,44.14582252657843,44.183259532195294,44.30463999956773,39.52038448517028,39.98392965873513,37.17847373347228,34.710665208932035,36.497615783186795,33.52467452815886,30.634116823188382,32.37246357665459,33.19363848019879,28.425911662598658,27.735547519146703,30.661952796932272,29.728032709049593,24.62531767568912,26.447983731584195,27.84307710441998,23.595125453471994,22.30412119329886,26.44436265413638,28.21853673566059,31.161821717830623,34.63680727227182,34.106839840232524,35.897884266147706,40.94877649935002,42.04137557269766,45.91435870518325,46.4675257395728,44.834585653671894,46.8129986689944,44.139734826492585,48.90173152006725,48.38070249104128,42.94364934879885,45.57570050787639,49.80381631276199,46.352279561847375,44.16641065702347,47.61017921510087,48.60531158581297,44.36198895654646,43.25487786794999,39.55218222023665,40.485228140650634,42.712670448224735,40.62093517911334,41.39754621838795,42.46804465612896,39.43963069667889,37.200802526447916,37.64340182540084,36.374538011104,32.60979491325842,32.300709053479835,32.15303499706158,29.185109315693314,27.888763624218115,32.14693454793713,30.577908405718293,25.96239525041611,29.424063340426457,33.140100765334005,33.81802300410466,36.873895959161615,36.62840527457404,40.945421585981116,39.35970404187372,34.902903501257086,39.14289051015334,40.991133368836714,38.07670490030966,37.849709856034266,43.68691472935669,42.79282409215595,38.385026003277815,41.265444609716525,45.699848710670594,44.15586501309882,40.77477049426998,36.2763060352899,40.53264974998768,36.76666288133906,35.66571220503881,30.91607073272828,29.765522273672556,24.908133023617346,26.635262359923903,29.0193368497582,32.84391872003895,33.2048299998355,33.20893994388749,29.15069097119936,31.54575368180158,27.261328724371868,24.8366463833075,26.825985220020115,27.420622379348686,25.48726759814478,22.701509127986657,22.607696700538263,21.856934105660706,18.74490244619855,17.194167656828824,19.38540182960076,18.540467619024806,19.327005320172,20.917503730151868,21.889132362560684],[13.475308541498002,14.246425596011427,16.848565939444224,14.371818181857073,18.550022975736944,13.107553584505897,14.606210832528035,16.04632450206395,13.343367872761338,16.375849552561032,17.228963044563134,18.770512306155922,21.41904728261538,19.503840296778737,23.37693511431664,25.490554075982633,25.75769418602379,30.007930882420563,33.21669503608923,35.77899824165613,39.3917756158538,43.29968495228869,44.268147894679615,44.10880265310156,40.88424670251779,36.81481089776463,34.94988789557865,30.82922021109109,30.42470172067405,29.021950663894565,30.79374091360624,29.947258399124493,32.36545800005311,36.61400777965224,35.36252757310022,34.5767461486767,33.60976341505701,35.74771594784022,36.27198743835675,42.156140778083426,39.512938776176235,39.911797213706016,44.38430095234303,44.47381195954439,45.356490164578446,44.62494773362581,48.84911271912468,48.4743695320751,44.51858260435923,49.21041418497976,51.869550198777,52.43804881040103,53.00637260240717,46.821749964666196,49.25081872628169,52.70984879772993,50.38683969885074,46.70696324535527,50.29639859823209,53.2767422400918,49.01965003370381,48.96677726525987,46.40419933295716,48.82340312197505,47.129389655820525,43.089227852353474,40.16860365892841,36.40692618287423,34.103500146266946,30.78249187261976,30.446641503335115,32.31122601203357,33.674970068650275,37.87266391458529,36.43021890096775,42.33279038158361,41.979085756702496,43.853030934514656,43.48934438031194,45.37467635891978,43.177692229789194,44.961250104092244,42.63728065821569,42.33453461677692,39.85866872007803,37.5808136416357,39.530102498540344,38.95290720119122,38.94030245299346,40.439094045239514,38.06746435051415,40.26994360247001,36.30064284107512,33.64803490598227,29.152056454545114,28.436012776337005,24.37360000093701,26.993902739763012,24.362928012875464,24.858400566872717,28.558898631619254,27.978240064614873,31.211158041071446,30.038788408712485,34.65864241221233,30.46151887521946,33.258351532040635,33.41706406479472,29.448155977409694,28.137214422883364,23.756749696102876,24.339258399969513,20.06418394213325,22.22101847907239,21.61874994568498,23.357264277947024,26.18241047244899,28.119912144858457,31.235799888847453,28.150234795363925,25.5851859792379,22.32184828332112,22.016744350648935,19.839496328492064,17.236319803599727,21.26932948024479,19.55409605885897,23.931250466031493,26.672992448814703,30.81415331023534,31.836333363234502,35.669826680289106,37.04280584067214,36.47712667649583,33.88385887605093,29.877980380732545,28.94778902883025,27.51112063819808,26.229919159219065,28.36524509474407,30.863871695661388,35.07279559211905,33.15568226043216,30.73494096245184,33.217204664020365,30.351697282154213,27.79664056947413,25.712104590082387,25.00802747380054,20.928050458632914,21.746320713939294,18.799195370747466,22.621253532931622,19.501307247494854,21.109390822220973,23.48254841368005,22.877092547672458,24.729562638576063,26.161905782077195,27.534549797011525,29.17752277049768,31.480820073233765,31.777336490758483,35.646639473930456,37.137171170517284,36.07527579293155,38.023034778203396,40.20160510177772,37.72044790964965,34.213402442768036,34.02420112415924,31.9132918431213,34.37686354777177,34.75980468614864,34.585558360122214,34.38269602452755,32.08864177790958,37.00684305437369,37.91574652814555,38.92197661006299,39.02617866671423,34.611173114061046,39.786493164684906,42.7149365591688,40.30312357323043,42.90145529038711,41.42761802030399,46.23208616280526,43.991398971820416,46.182552258179165,46.71359070274888,44.02143534882679,43.314102205231634,40.954915918699264,40.97277544495572,41.069628294272206,36.27756077620682,36.79093733555946,34.008660195176134,31.613345488982244,33.513440697999165,30.65622329340585,27.629487333655682,29.37469414376118,30.40277609932858,25.638512717628405,24.764098625240948,27.906497443126824,27.261585367327296,22.000754654036427,23.892270472053998,25.57268304902598,21.41566193300831,19.97365277661668,24.324909706385043,25.83638258122557,29.070946019455025,32.14360754177973,31.545655370762557,33.541915265485486,38.49600352787157,39.854156724312716,43.474410201505876,44.048451484902486,42.258720344747466,44.21287774619538,41.46318962523812,46.15296780923717,45.63381608806147,40.07774473241127,42.67639499808777,46.86576048141073,43.37170322248729,41.12025894293611,44.51809056152776,45.509359337250935,41.26936394438216,40.06062601134367,36.443383906593674,37.433433939588305,39.74525878195383,37.80792342234046,38.70558526399936,40.00284226358089,36.948598027169666,34.51077744560014,35.21320563336018,34.12445369549012,30.15455486975205,29.81186811966052,30.018798938058424,27.144302569620553,25.61200786078885,30.063168318857347,28.799599203764092,24.15630560324568,27.457409836219302,31.281847502351614,31.680091045424646,34.65283253421513,34.19748786826207,38.485852119012954,37.011260906250406,32.33934187467059,36.46135491553809,38.3710336096391,35.44996048478288,34.98954527026293,40.87973067005879,40.068127774387015,35.53373093352552,38.27874619324501,42.8147834764449,41.3401464394138,37.89393758550303,33.3981114739681,37.752470661213664,34.044717445759304,33.10754931857185,28.230970049632802,26.973699273879486,22.090196361437165,23.826910966596227,26.056149241450303,29.880961906116852,30.103531219846293,30.132526582035563,25.96432753972928,28.36582800083019,24.040968505174256,21.745746918281135,23.95668393769038,24.76551933371297,22.982723835134365,19.849644936602367,19.94604672894311,19.587096860773496,16.18121108191268,14.455235342791775,17.157407622321156,16.835950986487806,17.772694647564677,19.512793120970276,20.596252861080902],[16.597660285835197,16.697699193161363,18.62522488250847,14.909403518756285,18.672912939479247,13.901885426876818,14.366063469015833,16.29891265879199,12.792386858164244,14.605683559034343,15.418789578259657,17.860891129859315,19.740580670648043,16.99644350212822,21.137892996198307,23.52608311750654,23.310535004939265,27.326920402881928,30.075240691049768,32.995562102645664,36.364253187810554,40.42927963299054,41.110139698656006,40.88040484972182,37.82560404586109,33.660104369325516,32.15162429493189,28.13550712316626,28.04808960769537,27.174723897334893,28.66095919439859,28.546166940063195,31.08699951335681,34.998706416594175,33.71210372210505,32.5103912230433,32.054868661963354,33.62567953719843,34.086177813717676,40.19684632989787,37.12478395897379,37.275426180489156,41.79169589979709,41.83188104087428,42.47448844382445,41.85985039346012,46.02654258871244,45.7977605691419,42.10661721969849,46.823473087576524,49.53576625522785,50.30991665305357,50.77232913434538,44.66864334572312,47.398179689417006,50.643019388528145,48.012846440029556,44.51785231596222,48.247723436396015,50.908501767074156,46.45896122361197,46.47978732307861,44.001501566806155,46.04783277832499,44.32768387531859,40.46816358188952,37.156236219900755,33.60195399856347,30.88850049482197,27.75084193747443,27.07890799178189,28.82264793552721,30.556328778135857,34.70409441007368,33.712276532209444,39.74367471382883,39.5182314383605,41.71203440873024,41.43367065718902,43.32792968889088,41.48148207134752,43.2665563480556,41.39280924253562,41.06346627937829,38.27124722192092,36.01192763737575,37.54436901845393,37.380790924300065,36.79797027827557,38.63029919989625,35.92134885742739,38.02901044452521,34.172597635884685,31.85901958419277,27.302799898620812,26.615625089657453,22.435667808820785,25.797630603889925,23.56702321852274,25.043755076844445,28.037667267191722,28.18859335434816,30.72706314675667,30.112602890913504,34.525187054806366,30.538183154812973,33.762198434785326,33.79947717970389,30.040037600220423,28.75524395504887,24.254563256040033,23.974731532931056,19.455809523462722,20.81286646406464,19.518256169552064,20.81931192674334,23.37207313882696,25.00742389501147,27.847109990406484,25.047266680120607,22.235094709256067,19.194834286841534,18.8204726288892,17.169995619017115,15.27874874627897,19.759585406568075,19.358355391498563,23.414870551649255,26.552256391091206,30.609618550917503,31.699765162568767,35.74379177828178,36.59095551614733,36.12564600672438,33.09503820274895,28.87059217091534,28.08952159396155,25.943269656705453,24.108064373465034,26.151087647197237,28.025034219538124,32.1677987501763,30.275522527013738,28.170949870404424,30.83080091986949,28.157650870438758,25.6544384196244,24.07527318303729,23.99119130478449,20.21106900895614,21.962841790892906,19.296990297211686,23.744755917622054,21.202817733135888,21.96136477455622,23.924236473663424,22.624699306115602,24.78697484580395,25.41672285751843,27.09344331748109,28.01302441859626,29.86885319112882,29.814975450591575,33.81936797442231,35.35938894384275,34.014709212699344,36.41507604084979,38.40451666637864,36.23724432102259,32.516627049390365,32.624207418163316,30.26723413943758,32.955025844772244,33.51908465848494,33.4129790536988,33.61905100289548,31.040318083384168,36.285890547246346,36.813966874329935,38.13407147263981,37.900102702633944,33.99890892362187,39.09081292646691,41.86080406677234,39.173121954841754,41.357998851469866,39.549535654729695,44.3291518814315,41.77151240735382,44.30037585114929,45.00324915458613,42.54269150686023,42.12365042917774,40.029802054417324,40.3827548729706,40.8013161994599,36.10374924443665,37.09140644283629,34.61954962434231,32.4248825575169,34.85374629703741,32.23642248136166,28.87670813544348,30.773744219421218,32.34102695589837,27.63248903815788,26.247658867465972,29.912367006840253,29.86979102713839,24.375512618134533,26.214573098626538,28.371454591968238,24.450375786890376,22.57895315369891,27.014083809912588,28.09570091456765,31.88128497754438,34.10229378602173,33.688504279083986,36.07777548053728,40.88041655676019,42.65194319015879,45.90876991562579,46.58908798347322,44.55124986454624,46.43255534826233,43.48879378135316,48.01226358844884,47.55945195563656,41.75001651764264,44.18653164063751,48.29519574089912,44.69788703936878,42.23687760333016,45.406127819892156,46.391215889286215,42.15999634634721,40.49667509367804,37.35710555246605,38.34348587927508,40.95619830291568,39.49619325195004,40.469009846169854,42.20340977004485,38.90648411881115,36.313973820290315,37.61287114115882,36.6068878565919,32.337646026690635,32.217235876841116,32.905181735111626,30.130799681591043,28.463239194572143,33.14327958502743,32.19844367918131,27.599858942476406,30.7183298960443,34.627019800710926,34.70171199522199,37.55062709297058,36.766091781849,40.993735836299855,39.7064040700438,34.717197635676634,38.58899163108945,40.573068876434284,37.61077275724718,36.68458559479722,42.653562484546285,41.87649601276683,37.04490396207476,39.50887247987439,44.24140971273592,42.73163853101578,39.07402095675748,34.49200840535293,38.75999119958821,34.90510952516098,34.56866874046763,29.431315901107833,28.46678733550143,23.622532889160762,24.71587669563951,26.76708704761671,30.437426171028275,30.53076529835965,31.065426628397486,26.576833676074692,28.956238711994725,24.269023708385546,22.868768614211085,25.378986260306647,26.778346116467112,24.885509797582113,21.362190251400317,22.235786047945176,22.318374477439626,18.132237032622488,16.80129984428118,20.249984645052194,20.347266270379052,21.271496066450656,22.96072352262658,23.911466255447273],[17.580855079762145,17.20863976596602,18.844502004249726,14.242457737068943,18.106081288089616,14.567867042559131,14.834117438843977,17.60053968407197,14.2733605480276,15.215983562544066,16.51362677959837,19.5821971728459,20.42465333508404,17.25283332319413,21.834589904241415,24.20398588056115,23.228709173107514,27.13070096272859,29.26757705517791,32.38320044110921,35.49989768358773,39.58040586219741,39.969146466737826,39.45802756037302,36.50714475036654,32.38207482074712,31.11211412598241,27.324331334054428,27.828427938208804,27.52915881282196,29.28141252589681,29.55948351471889,32.40975746215405,36.018236274701664,34.462190584902174,32.78979617568291,32.55985340485591,33.41182402882878,33.540244362636756,39.6840340946072,36.13049003616936,36.41298878800586,40.935419104321525,40.66994602185377,40.95158351588328,40.16537836362226,44.27731953095006,44.41130137889396,40.79008232122843,45.29530023148511,48.26486880386923,49.226666569859916,49.80989247056693,43.819105975523016,46.845083804704075,50.09056834752068,47.240229601097376,44.022367795273446,47.99205941929573,50.3152431203551,45.88137308571885,46.22437410139426,43.990302077543845,45.67597630408375,43.74679408364698,40.08471952411295,36.59781105655274,33.3652054385568,30.321568480900684,27.614704371731563,26.5677877357558,28.344007189241164,30.47609410481032,34.3736215896059,33.828526923265144,39.996740242916765,39.621140315925295,42.19368010391665,41.768676185992405,43.43401323867834,41.76094730639105,43.30407297940936,41.71847733621363,41.11660272068428,37.9998128195839,36.06257207042541,37.45263377682035,37.818675067167106,36.94288629992703,39.32164699399742,36.47148962453554,38.69488592555869,35.018654500349534,33.01615025410178,28.396538441756334,27.970960405100506,23.693525493320198,27.36203101664825,25.304785381486678,27.32557637555356,29.61384307076027,29.868606447857747,31.848206655361654,31.217689658228153,35.12860553604779,31.099003269905584,34.39516940884318,34.03689046282936,30.300470352345464,29.40904819192287,24.759531541975594,24.138047046823285,19.748145596007724,20.367350418683817,19.09434245061235,19.685653403293408,22.326969268794105,23.34989633332184,26.429309406296113,24.217235899589397,21.091232895981268,18.272054232729733,17.13643176065563,15.858314315465602,14.506423770958513,18.762086067749625,19.236964935675584,23.01433387929774,26.297188514763526,30.494008556039976,31.157281290331724,35.426974032949815,35.919054833609586,35.88271941980238,32.31916158981986,28.081299929791708,26.89712394825102,24.478401148779508,22.30875617502682,24.633269674294763,25.923233198361455,30.20394277755571,28.71205908851023,26.821558147892834,29.77961795869115,27.59361316079843,24.964003006415567,23.99855629636156,24.240783730466067,20.912925131275365,23.13777538791338,21.148527838156003,25.91349980182728,24.05376872193818,24.560578257190485,26.028127810788476,24.219178589738657,26.167376162620855,26.358637012894917,27.676630942044262,27.813608780828023,29.665407278525844,28.889223995464377,33.15559826018799,34.286404744374906,32.41718029610185,34.981535114703355,36.604237779360815,34.49840084018804,30.744526514980116,31.21354355221655,28.98036294561323,32.123233915280466,33.084005164304656,33.3288501915161,33.993567391277296,31.54075860258223,36.98982652691187,37.005108357215406,38.394699096426315,37.61171899328151,34.00707609966385,38.79053006920859,41.32034870227141,38.44614639935781,40.57307961463727,38.72095918299563,43.27962452501073,40.275801175360726,42.93331279949959,43.55034533071456,41.35141205369598,40.90240217616114,38.92380354750731,39.44272639335624,39.90104244328624,35.237585176801176,36.56345756468857,34.14927063233666,32.38651963098768,34.99095290724392,32.798269757555694,29.180227040721558,30.772853493830976,32.80245343172252,28.268447221476073,26.12321954522088,30.10679818120326,30.76960822667102,24.968027523496033,26.4918130799127,29.04419725098725,25.488507154144216,23.01722030391187,27.323211003413185,28.02861244623978,32.31329961288834,33.69650220842954,33.64002098744266,36.36808413076852,41.06346666872734,43.20348675620486,46.193538577165455,47.161370752628784,45.04783795290918,47.03957006853333,44.14254404671144,48.47017772032572,47.83836571507171,41.89599422997034,44.39005776823979,48.2387470510125,44.438357056953016,41.985276908611155,45.062755107843856,45.75349449832037,41.471542579966304,39.78292562877649,36.95652564567744,38.354651237669145,41.15099054599755,40.02189177660322,41.31402243264873,43.38630600266151,40.16036167276532,37.22037055501686,38.833662851903604,38.18914395830024,33.72052646231034,33.397123049123465,34.538583580623715,31.946670296305154,29.879326739020176,34.60566325263095,34.011850684464775,29.372301877828882,32.05896247884802,36.03240985825967,35.76487677021321,38.65270810383462,37.76655694885573,41.83459746852007,40.46148652460443,35.256126403422854,39.034236080693695,40.83823014150687,37.75707509911008,36.60938144185601,42.56322422577327,41.574386762242696,36.552673084522674,38.95436067235322,43.69119393502928,41.97423342189277,38.17321217527036,33.5106203761058,37.53307892709847,33.50462983461565,33.6386863721118,28.38638110236873,27.884883770253477,23.188922857897037,23.54974863511185,25.580979234876104,29.054251013703382,29.271210202647566,30.35844513818309,25.955225255415858,28.59675420202266,23.877843431196187,23.049287004772538,26.198295774704523,27.935970348883362,26.41663158251731,22.372938694590324,23.38941030811112,24.13577046362996,19.835250637172805,18.04826463900576,21.873448311023264,22.599116473580015,23.667265043742063,25.38200997333274,26.29133475853538],[20.080554512736928,19.041843504901998,19.565531887425774,14.59466409783659,17.018406860486657,13.943780969019143,12.945267701556695,15.732005727157434,12.126669493572894,11.83051023519559,13.307528062985309,16.915837778672042,16.830280220909977,13.343464058753868,18.14808532570923,20.447080914636356,19.04943814485103,22.866251403960657,24.843643629206454,27.971337849803867,31.045224382215533,35.121308035950356,35.4966114590688,35.000438374906764,32.04591212174986,27.907590904855816,26.681362192667923,22.928066795338232,23.577255448580683,23.58736118849186,25.440435986484854,26.005965798441594,29.057417646416983,32.39252008555786,30.662421634826522,28.7185575093785,28.700286501933366,29.19502051187164,29.2921444881992,35.50779177508141,31.83931091645048,31.99850728689007,36.52214392084677,36.2874822159692,36.58279079909523,35.92630841637923,40.029067023344176,40.073058339791935,36.57374990612377,41.1813318211238,44.05361184385454,45.061150938698454,45.54277616846173,39.58438099498335,42.70061792115219,45.82411238905239,42.87982103091295,39.72176066521849,43.73243328923368,45.941472836552514,41.47169575048508,41.886751913926716,39.74525733273508,41.329425639669566,39.33104041490232,35.71719791111396,32.234556902871766,29.09394123716146,26.044155781821914,23.53372438851797,22.45707894767188,24.48494399319579,26.565210452725427,30.2621747540635,29.772503638616595,35.997045479584365,35.45142250274679,38.20386777542568,37.682109259204054,39.25118008629187,37.72004357081848,39.21860569636195,37.886914482096266,37.27837210678224,34.022713749563486,32.09137576642426,33.27140318338622,33.88505174251143,32.78563575789065,35.44829261132262,32.547921933999916,34.91442589058424,31.38149674684162,29.586055461681443,24.937547433470304,24.848836590666917,20.514560155483384,24.297911380888905,22.475741276873947,25.181388296649363,26.656057217468753,27.353503835973243,28.69680232296575,28.49308151662211,32.191228478704375,28.47263822500459,32.11373885383545,31.814536504067792,28.435744981446618,27.39474844535885,22.871769832306573,21.437534525667154,16.990520098296166,16.971514981864317,15.127413418093122,15.518271596982686,17.94092989888822,18.98335183433005,21.966117531864708,19.781427785049743,16.6290668752635,13.837731483995777,12.778431958571511,11.75691760897284,11.027847211128346,15.622495054750994,17.202273639615893,20.48640292624519,24.01783003614629,27.874326535225595,28.895769111312685,33.148635019263786,33.23688275439063,33.03653828459208,29.386399635999037,25.0131150132107,24.382758766611985,21.364857458688014,18.882698489206014,20.831412293678166,21.970819520247506,26.07758855684252,24.391393351426228,22.609781118602424,25.547459341765403,23.398887323423253,20.858563975343426,20.18563570048681,20.874977601047803,17.92034017379082,20.837224457761362,19.25286051084646,24.34752712433765,23.294559888452376,23.06823935314862,23.942916235535066,21.56512250881357,23.599766784276753,23.14179383404275,24.650920213772174,24.30651666633506,25.763023990118533,24.92579601106601,29.150478804499713,30.477521335570877,28.69869188673923,31.567102297438627,33.280198277346535,31.513363960165204,27.59954268945626,28.07946307045691,25.515248962815924,28.547187800495188,29.4810595522539,29.674479142881125,30.57513401486638,27.956349886365004,33.54576959656226,33.30997605807856,34.90696287008434,33.991489964412175,30.80959759542323,35.55949080336459,38.018238216627104,35.005729807615396,36.76116409968082,34.681181735605776,39.28104536941079,36.28753286093326,39.12702374140959,39.95817154734395,37.819757197454166,37.699396622332756,35.95973702499233,36.739452993634714,37.570926886352694,33.10217751856236,34.742239077245934,32.796658404667554,30.97372273927865,34.12692871261903,31.985833174951456,28.22588185914182,30.292549818887245,32.64611607034094,28.203291536219634,26.168638597878104,30.495375826054822,31.378629345894247,25.79445084088434,27.587458314679377,30.418744624655023,27.000596779072534,24.73117295256544,29.230888711968188,29.546023720981662,34.02779290363832,34.86608758916669,34.548874170777175,37.49720120381731,41.8954289761595,44.34596335672898,46.86790397847465,47.63565395589637,45.173378985388744,46.88062827111951,43.66457214067203,47.83694919779169,47.50822269821452,41.388895371404615,43.512450842028194,47.433812301887066,43.75839503893082,40.99754601356854,43.75504759451243,44.75955799056083,40.6427450649234,38.27902297304353,35.92488781677395,36.877030943511855,39.89083208871049,39.21155409621585,40.3426073256387,42.77713906181039,39.22965428733589,36.34985054121791,38.58069229112463,37.84530739573438,33.17334895381255,33.317266547348815,34.84709364634218,32.359745869371785,30.432310173128208,35.375291394578284,35.06829311958181,30.670473773870167,33.379079018124685,37.34964709756833,36.82764620012305,39.354401249893606,37.9957417550413,42.03049449707743,41.136448768131736,35.71707613488445,39.04460319376389,41.16825491771355,38.251721240172,36.54007763323584,42.510007232765666,41.930645650892906,36.740126681962494,38.61477943257683,43.610349538009,42.21022157104409,38.320796635049284,33.78866396967295,37.97558523376627,34.151874532022894,34.71654656608618,29.327992213936557,28.5745439563534,24.026085707897153,24.344253122348587,25.82932433915484,29.137001767074267,28.841073156518405,29.980736730261036,25.115092344078672,27.299081664638663,22.30976734893415,22.348761597215667,25.23915932021762,27.487622247258166,25.69341464731912,21.636961413588686,23.577891088824497,24.463899147711455,19.49850557009302,18.66903671874714,23.010440253573673,23.902851716925458,24.888369119712372,26.549199975399077,27.406229471586467],[22.9406961130457,21.67098964690841,22.041646582789838,16.502715428659926,18.851654946340407,17.283561142284405,16.198358304298097,19.49074276193477,16.21672746085959,15.016128509853731,16.631254970459207,20.62822347916723,19.53268877864952,15.632152825939633,20.448084275484632,22.72272982627128,20.47474907840568,23.79401122231109,24.730944370795978,28.195407704117972,30.75429888961169,34.8549681116129,34.72488123411832,33.874600046758495,31.20376165728661,27.14873118159614,26.465900316246653,23.190288192262944,24.629524352425804,25.465161714770712,27.29469651006591,28.525571099653817,31.73378617777602,34.5791053586858,32.68398265018369,30.19558171554818,30.62893253484702,30.159369981789123,29.874675936185366,36.065811766951555,31.751051210733255,31.924465421157876,36.3800287067385,35.78293002307493,35.52136589674991,34.72883894489683,38.678436508030366,39.23129116729189,35.999140090506955,40.29567190200806,43.45834080839968,44.76100668511187,45.322744235141414,39.61138452872584,43.12897737748174,46.11564697982978,42.83596038333507,40.108165440853256,44.36119663918465,46.041923166717346,41.55129361052929,42.31546748719873,40.482361522615896,41.48032744706664,39.30079487621477,36.06140075851368,32.2346201086731,29.637201324783554,26.075499450211186,24.223500886809788,22.567583906781206,24.398298111904264,27.082531674089388,30.40270297982115,30.660022022074095,36.907729615224284,36.34352182169322,39.53949009284907,38.9606932402648,40.30175118298916,39.13085056690931,40.374202579303926,39.52860344559155,38.657049225531175,35.02640760240906,33.48113818993003,34.302805323746014,35.58665756813779,33.97209385394975,37.20390894196088,34.07654534728771,36.39541167968049,33.16314675272901,31.847777962049186,27.318032976048116,27.39181433569899,23.182838162688455,27.35509566745642,25.90098450229025,29.127819544146636,29.907785801529418,30.865980982164057,31.54856123394996,31.481712917633004,34.571419984978434,30.96054642797266,34.64399896880134,33.93046174564496,30.692629398162357,30.087757291768042,25.565775617068848,23.730788682984944,19.65448755117365,18.642429011798978,16.721352021705343,15.97454021227492,18.14331873260351,18.104386654841708,21.066829354500552,19.92201389770073,16.413435165757363,14.35002034092916,12.279367213726658,12.345817745659183,12.844685556830619,16.72507712204596,19.489691298275464,22.19278322425838,25.78057826881959,29.629475644233622,30.148733067882706,34.580184243862234,34.15867772305233,34.47268116381744,30.212805624995205,25.92150990792366,24.861761033813167,21.421303102148343,18.393857623013982,20.57243612300384,20.509751005064704,24.644885156633457,23.558805666883462,22.304956190784676,25.585332752739703,24.189078444279065,21.666383162227355,21.932757194615117,23.125614496547637,20.873522883701046,24.204201843947935,23.23845184747373,28.437908084631353,27.83456097915825,27.391212116421933,27.896874530579368,25.124023683838843,26.983605219144827,25.98546346281517,27.18859190999305,25.867151550489147,27.094972841174954,25.33746332997207,29.769061971216708,30.601304612846054,28.104522359733163,31.281303818628757,32.41721549215502,30.87700350035802,26.949810163198375,27.989730093102743,25.58588517277029,29.14545147140295,30.56227517175196,31.149105544866867,32.61319828581732,30.108054341763875,35.823657172806854,34.98247825864476,36.71009660133067,35.144702150198775,32.51309317532291,36.78987188569054,38.88872976743714,35.64616451889659,37.160772523838965,34.94576050288313,39.19433474522135,35.58882158474099,38.67488241514018,39.451586830729894,37.74676843187589,37.68203302731471,36.18990095009292,37.235876147097024,38.16419420846835,33.84779293933247,35.924689692253075,34.12026650661327,32.855350928675705,36.15667770986718,34.523554331658254,30.57081757669242,32.242236207057175,35.04670080401543,30.875851873013865,28.070834241816446,32.617053446734765,34.20054106175801,28.40834394588601,29.79897287301415,32.93914277061097,29.92205474643035,27.098742037071446,31.318216801560702,31.279744350005533,36.183423454612615,36.135118742453635,36.27026721845366,39.526423210985016,43.77698864799781,46.57168293893141,48.823332903042484,49.92263892636938,47.424413560747944,49.24938143494827,46.12593096601552,50.043250092464,49.51118830771031,43.312539726903175,45.47775384593319,49.05372685823537,45.176453574193374,42.45869657931651,45.0592626461468,45.69310147205524,41.56733039554451,39.184642736434895,37.283539338009305,38.697505937138935,41.88537715138175,41.59185946604648,43.04761724820568,45.79939022578114,42.3605647458102,39.17240473231037,41.67735995605394,41.29681835297173,36.505232022434235,36.43535002407109,38.342349853843984,36.03515079595397,33.76655082037918,38.664442865112605,38.642284886866584,34.22083459177949,36.50864932874107,40.496083684055954,39.682419057970215,42.25886197592962,40.853405146668976,44.68014603716517,43.66797549435033,38.10908693701046,41.317360146337705,43.194109097375986,40.170799871046995,38.26612052477118,44.13063484938415,43.28402917676208,37.9518590400479,39.73780099298775,44.65903515336068,43.00170848475655,38.99058812318656,34.433300304610285,38.2018682959182,34.20357607470707,35.347487265931434,29.956616442332297,29.82630553561992,25.592641171335153,24.999675714571378,26.4285661893825,29.36638781535717,29.254096519029535,31.0886639128428,26.478129021726712,28.90048626659414,24.039353089125225,24.747640532054135,28.20178666758674,30.70690017477787,29.298890895066343,24.89343740968532,26.848584386054103,28.26667982922787,23.393161922462884,22.13062912607247,26.580276343049345,27.90449935929452,28.991295870245338,30.64659305327418,31.44597513406631],[26.49382574763633,25.061187949228998,24.829856985022715,19.503869436969985,20.559287770744668,18.80152112463306,16.600453983361206,19.17807076009199,15.503690391418731,12.96662037611334,13.99880747180497,18.30145211716167,16.558634002131562,12.140221341937103,16.554617838128483,18.938841067009726,16.514526621318584,19.343891692413486,20.06729577918778,23.784059142425395,26.215767813071817,30.4664415557545,30.28507943456743,29.671618278058688,27.123719754490352,22.916396603208867,22.52167914936776,19.265472821268975,20.608071439156102,21.789752374371453,23.01674033460998,24.911835312515045,27.98659977200058,30.442690978596833,28.68125473520803,26.02618622259875,26.99149851111706,26.303254126076435,26.274488121376148,32.62318370087945,28.31156169150554,27.917798728559788,32.36518841902543,32.08054231214502,31.947228494970815,31.614689982636698,35.5097437576591,35.74361192294091,32.88435027878552,37.47634295239955,40.29945700134471,41.64327962094265,41.86677124501329,36.21121679951718,39.76708132028798,42.394783941415156,38.96784592278122,36.224568524617176,40.36657836011462,41.95190334832059,37.230610890952704,37.786032053549825,35.88668471721557,36.74142886498471,34.71142306510318,31.544191546021946,27.45549725894592,24.90400261228318,21.171604326050183,19.37365432524409,17.597381659851155,19.442937133484364,22.156072195885404,25.423564314272486,25.855386033687054,32.075470122951145,31.67417148901543,34.95589545091778,34.54851586738217,36.0369305396037,35.20332874506834,36.64779714548178,36.19509347924752,35.5849981435699,31.92551787763041,30.10751940831977,30.413202953769826,31.790777715299786,29.68246022771421,32.91082569080753,29.57130116086935,31.74446693578868,28.657974393705935,27.642013285589545,23.271831566713,23.433393788072276,19.41295834190807,23.93004622020526,23.01439276751762,26.95105363970878,27.074083353649804,28.872645152801315,28.943858908235512,29.72044743077293,32.83874790270426,29.815310291377642,33.89463967053574,33.53327412903271,30.799437970095713,29.76307436050554,25.596346002507996,22.91857014430605,18.824419152703623,17.27801362461986,14.190334708795142,13.358696520149824,14.54673646512835,14.700053189854005,16.70504535662651,15.44469745014775,11.925060411344111,10.30036426968583,9.219947458688198,10.33428418959955,12.007524741663923,16.212925844551666,19.907656212903373,22.018912417898253,25.753760557028308,28.963712555180393,30.2029571089781,34.42017913716822,33.627362251147,33.46287888758024,29.427303130241086,25.02831506864763,25.002402734736926,20.887145903225505,17.544313737583998,18.791564295306035,18.385908341164207,21.948023873601294,20.271368135024392,19.37943686077097,22.423557220667874,20.843469058692406,18.74269844161069,19.27704706907573,21.1343206886476,19.273464294138144,23.221904682283764,22.265984712318076,27.510882980186295,27.289360011699994,26.031042226603372,26.193230785778745,23.055886763815725,25.304511244940123,23.539717719776036,25.446240072259567,23.86697696097787,24.214032220740805,22.827196522012006,26.936209795690168,28.405616458608904,26.31761779639328,29.960937005395277,31.33645536292798,30.368681380812667,26.28036711867291,27.203279570547622,24.244630993257903,27.320357342580646,28.437687856419057,28.67068844310486,30.21932852508341,27.266800498090035,33.020639990157626,32.14196795218505,34.22883128705902,32.830532401443826,30.807479346046915,35.16687310175316,37.26019908445673,33.916000353471844,34.740238838949566,32.07035670470285,36.48971431840107,33.09573505732987,36.50431178423053,37.71123625368471,36.0407774936734,36.55216609711321,35.40997899429239,36.75825262912292,38.17700032117592,34.161187765346426,36.44267941131418,35.185332134531414,33.644184265204785,37.420410458139386,35.61818402641912,31.708821301860365,34.01399880207639,36.86169315253995,32.71285436445017,30.44112328955668,35.09307516171736,36.47678470454979,31.059065772974606,32.823726724130196,35.96746891908993,32.85326308738313,30.483141828140905,34.914318606252436,34.78900054375842,39.591876809694945,39.536185300120046,39.29482675880359,42.55494351646353,46.60290643184465,49.46126375672868,51.444161877801605,52.20608414406175,49.42622278178818,50.90000517620588,47.434609002933534,51.27954941326054,51.1671053032871,44.89114820038554,46.61628174613397,50.387441224623664,46.77000295528095,43.73684758830071,46.00382580638162,47.12451795399719,43.233338758846834,40.13371930586262,38.6350078506424,39.31529213721359,42.62490673128258,42.6483422106488,43.71999632436451,46.64059529201608,42.81622203507599,39.949708412233264,42.89730908603872,42.183847899591115,37.349146327050384,37.892622307833626,39.87376309532763,37.558243394116914,35.68923508652107,40.72919518284045,40.73382962507896,36.5523257244678,39.117080046696636,43.05769281065367,42.236777059257,44.47041972079073,42.69412766089839,46.56601618673952,46.051645447830055,40.43946805014668,43.263788824998926,45.53061383694979,42.73024770180453,40.4271654933023,46.28119532831631,45.92522640523571,40.55473680894498,41.85708507137879,46.997481276548406,45.73783553466668,41.72935059243806,37.355100485192,41.33593974808065,37.60348232659235,38.903648081566836,33.4801363716805,32.95041782364341,28.782896983044814,28.493294492133646,29.484036839027468,32.32620409740859,31.698070673432323,33.319443727949206,28.280485578821583,30.048525035334254,25.002240646710007,26.3029099855629,29.063479595984553,31.859247243122162,29.933358278853586,25.927497587893534,28.65300940502931,29.77036709646695,24.408561931096013,24.284408223171592,28.899502059615077,29.955012881176025,30.869431192426134,32.41848799349885,33.14273686200661],[30.400348829327722,29.082087115122775,29.108118787734465,23.530908009367906,24.90855218014196,23.71691713744436,21.7132487361214,24.432526590174156,20.763328542139792,18.07054886675285,18.785925759920808,23.113471790633806,21.168245697708862,16.559535504635672,20.35059461409663,22.830095314395603,20.109812329341054,22.050983130242077,21.60629556080944,25.774896174880116,27.447290069532908,31.762307337538026,30.917135750161066,30.08969625577654,28.105499039678143,24.023395696075696,24.50388896301628,21.89294581516358,23.729598957284203,25.56860976848602,26.141297696388573,28.84471962565007,31.70803698866075,33.64829437389501,32.06598560976653,29.086746962911633,30.674003082450803,29.2677032899634,29.083093105915015,35.331431148640846,30.522920318605237,29.809929609121657,34.067584370353,33.60694646282346,32.89605263590092,32.66526454389013,36.25772626766186,36.93485179799069,34.632129656004736,38.92296376421822,41.86983487058885,43.52691002971457,43.661099028635874,38.372741403311394,42.265882787062836,44.52995777405431,40.73316272319316,38.44222396961131,42.65294696155029,43.65700026906574,38.805774606077705,39.4734366511592,37.78147282367243,37.91143639958294,35.94352208395894,33.297280956209576,28.63091021831547,26.721028848776026,22.35906174631841,21.180694842573658,18.730240980414987,19.796083692703824,23.294349286646703,26.245458325281355,27.666088321640725,33.67273221500014,33.651175126165136,37.231702530128445,37.05214940815786,38.52197230689554,38.22281595178136,39.602158503733506,39.704657025850416,39.05499630122079,35.171277417812014,33.55011569540057,33.29610772523977,35.14637127404242,32.36589706418745,35.800689748644984,32.132287020227686,33.8865484467302,31.130666147520763,30.647354398107552,26.62370512185391,26.591420016152732,22.954204602492517,27.94488326389814,27.488254945252304,31.72447396053868,31.604054834206604,33.79796882632536,33.49213755818351,34.55798854096802,37.3725603062687,34.52549655193352,38.62361302924898,38.05886704561369,35.43218603572034,34.623303600308425,30.48743096204854,27.653648900296243,23.79224456145228,21.796299813530055,18.636738687215853,17.116948464721297,17.635934259939503,16.76040022495711,17.854530377408885,17.770673809128862,14.247883106550718,13.836600859030321,12.528404831560435,14.593533448656503,16.83951173744561,20.484564287299403,24.656212016202698,26.47182682645159,30.17144301434082,33.31527577665312,34.235999333898526,38.52097987834933,37.35278568195569,37.51582560971583,33.12582898268475,28.867745202718325,28.574289349443177,24.228539141707845,20.55188773245921,21.784165114499345,20.036059530675594,23.21383134084219,22.06770963730239,21.95667438415509,25.09198379040456,24.147065450784087,22.323504419001093,23.531957825861426,25.750465876781234,24.2752732874852,28.358356290010438,27.493884248110675,32.72297462706492,32.40185986827749,31.03969911661647,31.228255475360292,28.011112259258486,30.325216125072853,28.229546796060973,30.15651668389612,28.02535551742966,27.97369008314758,26.04746869001114,30.09366820726232,31.29063365140236,28.682158496561534,32.62804272856018,33.442860551896075,32.81168996637145,28.795198858682994,30.1985109601726,27.386242334912307,30.729722872411145,32.130220280084316,32.544417889405175,34.44071138465118,31.454790300119075,37.19060095480414,35.961578083088455,38.22024870737136,36.44311954490076,34.97487086716133,38.959493940332266,40.74682066571284,37.24612991669806,37.673361090527145,34.77680131473202,38.84313591147089,34.95856219065547,38.66557344129164,39.91967345134689,38.70887951972552,39.377949575024395,38.52436877241118,40.10984082720683,41.61990600783871,37.77758974389737,40.3493501160105,39.17296649334546,38.01412422779495,41.80693627914708,40.29886120056541,36.30658160514515,38.29851722179282,41.35783645303598,37.33514116103195,34.5895986361837,39.30085051768955,41.03754305799093,35.424652050682894,36.889334461371476,40.141849613836136,37.18530150394709,34.4314820862792,38.64289741933736,38.42765837432566,43.44187134904512,42.953076225035666,43.10948383212768,46.51426115579108,50.549437458189296,53.551703715865074,55.48258110680162,56.51149029141387,53.78052172429807,55.37842201417205,52.0169353792594,55.72134815084256,55.43766672057496,49.14536257207427,50.93892578062823,54.45873890834989,50.69401590367371,47.7389841186466,49.91060744928946,50.721618417687814,46.82255728623283,43.79307699847405,42.59308424957173,43.61821863205312,47.010725345772556,47.22970255669468,48.49592160538221,51.543560913761574,47.797733327314525,44.78230796135231,47.79026500344069,47.245870906221214,42.382473506496616,42.75887802607213,44.83823211159905,42.560021038125264,40.51124383213873,45.4995520063657,45.55024002177413,41.26414486046412,43.64927803425259,47.61541734938651,46.714500870590605,49.077391710696816,47.379040070242766,51.14729109923516,50.45509396463663,44.8031191140242,47.65364379160599,49.69580950293532,46.786931220957406,44.480023182034415,50.24925499516513,49.61288969446545,44.18879778680428,45.5271219598222,50.54458605677133,49.021328823985684,44.951617850418046,40.54713838268332,44.12315413682645,40.21046326202088,41.85642244329309,36.496288817148525,36.503863262191224,32.511372743358784,31.598214110936848,32.690706378972095,35.26331313177092,34.899091734798084,37.02260604183391,32.27233086276132,34.2514121313368,29.354147729377054,30.890033553807672,33.97928261527049,36.81891518809718,35.0703514825346,30.92528209651487,33.489736124460535,34.78425132213218,29.53029904385684,29.03694688246927,33.60615692714175,34.75098782572435,35.71076539650762,37.25842720849504,37.927640143101314],[34.260722222046006,32.64535571066462,31.95471994079451,26.611976145686363,26.698708457279338,25.703103730352954,22.829528037853045,24.901407056041794,21.3686401301787,17.59750148259226,17.862922781915564,22.089755152213733,19.193494455217074,14.723131423745484,17.505541278214004,19.70052534453134,16.59746656069718,17.50370502746117,16.263851825341217,20.654108170548078,21.932402481282562,26.303796659463444,25.301480406443808,24.667818875231394,22.921596615150385,18.809926206080647,19.819031034932355,17.617628616771835,19.558033513785443,22.027181592616387,22.05760041075931,25.508141907814352,28.252375453363847,29.49756380060559,27.93790271943354,24.647058929011564,26.86844185947128,24.88520763287586,24.845067233559075,31.01871859735611,26.197708909196358,24.868240718077264,28.974786838475787,28.786014094542946,28.13218358479856,28.423027486204578,31.859174130728658,32.22450267997647,30.439324267074223,34.92086681797588,37.47161776029476,39.19958235671267,38.98261780272648,33.89879922580369,37.8530783491503,39.681329335151105,35.71361212318641,33.55634039362419,37.65282459913267,38.409084077122,33.39075404057325,33.97528581443095,32.377939962371634,32.20193748841516,30.302050035926218,27.88344231447415,22.985891279156856,21.422454794063814,16.861130449716196,16.28007869438417,13.550181494829026,14.704649504640573,18.25355236653176,20.717108186973384,22.540223424229584,28.393880925383343,28.36310872527076,32.15544737590014,32.03697909861781,33.48484017089518,33.63920825315453,35.078198241301926,35.74033556210189,35.27638298759745,31.365314082909517,29.647295453564674,28.741414904496445,30.897771028543158,27.534045490037634,31.171242767760628,27.373723403711047,29.052808107342095,26.703365381878708,26.7565012798977,23.132611588913147,23.46940756094318,20.33014405952898,25.268067322391587,25.462436303067793,30.341081999511708,29.19159577556004,32.129519914926924,30.95185819733615,32.827146811509266,35.339314238314195,33.22750984342843,37.59650671567998,37.29998338020516,35.310141270564024,34.2069319844472,30.58968253684647,26.973785612053376,23.481644929164062,20.885332568459724,16.962251547413683,15.188948469661698,14.290934435509921,13.297112725746718,12.777492521633452,13.169680117360809,10.028684596553019,11.00731371861412,10.883389303657209,13.94879794403843,17.133463182999808,20.402727603068126,25.340361805186294,26.349526638784962,30.00995251103754,32.36031656287711,33.89185970061271,37.847013319166805,36.22263175314207,35.97329234689811,31.8579906068918,27.70598577392013,28.437703173554947,23.587923638963225,19.8136228930508,19.93092917859175,17.672540444674517,19.845489743888997,18.176894412395995,18.7094040870354,21.412084831554637,20.588595981190686,19.42800420622515,21.156379495427696,24.0316664893147,23.310465297054535,27.82325798339176,27.302565143593732,32.36783000378364,32.7449334348852,30.608709473131874,30.2047795025539,26.628796042622607,29.045895734546452,26.128032493071107,28.486925237362286,25.90890275924009,24.849622634090842,23.174185414478544,26.674837258004764,28.411094830395605,26.256268357921524,30.606443187740417,31.59181861319092,31.651268482853858,27.626697283557295,28.905447224461188,25.660018245919098,28.39493243644268,29.52113220809172,29.65030172446876,31.73574245076551,28.48161051954681,34.059217178697985,32.614573525685245,35.20745840471393,33.47853002640633,32.85670826880142,36.67015532320188,38.320422817472384,34.76565186711802,34.37082711125861,31.029380870330503,35.09823653069444,31.4513384332744,35.46606919156375,37.17050729231427,36.08837976735305,37.387108490309,36.97855046611401,38.88957222697668,40.914595171304896,37.51896917833407,40.31041016313936,39.77036715689126,38.44486056095745,42.68767779043124,41.14126674601233,37.2405678771192,39.776307247318854,42.921806804889954,39.05704875397687,36.770558258582184,41.563792789794356,43.22334903250964,38.04912275934837,39.82463683557935,43.12795442526187,40.20676953063489,37.86162028331184,42.23391183940022,41.82616124380543,46.78003386593264,46.10980814934505,45.88446232305258,49.328086739070606,53.05847178594621,56.19766642177108,57.72148024934792,58.41445027067864,55.368927139238906,56.57819597364076,52.89203234674921,56.411962561140456,56.56163929927451,50.23543912296183,51.52644539577848,55.155315660288295,51.6934344174218,48.43238097918863,50.181821189682,51.47161000455861,47.88664666189077,44.108403610187736,43.43520246613386,43.72961735357704,47.22606743167966,47.870604038487386,48.78532444522086,52.063915676946635,47.99434429899528,45.278501381191745,48.80053170122725,48.02457035238903,43.150002233009246,44.10471275710176,46.367370175367085,44.183940677250526,42.47271768343054,47.5454531166766,47.74495197201086,43.77570674735129,46.29634392337169,50.181027094782195,49.174697994836535,51.127704529643495,49.00741067149075,52.72839972982233,52.58775700867237,46.89304596572931,49.248230182079695,51.661851742036944,49.01800303447356,46.24665034595246,51.91861079908959,51.816999079505294,46.38316871628727,47.14323684887538,52.347302618639425,51.27379575368286,47.235463831510906,43.0891966005313,46.85019403144619,43.285410017452506,45.13858342888582,39.78473259630018,39.39134414612499,35.56977072876781,34.91030746302264,35.4897615765565,37.89238879253331,36.97201293511768,38.89044906039919,33.82620270619442,35.106989406135824,30.21328831419498,32.41154449270748,34.84857186181339,37.98693828003644,35.893702263055395,32.14842133097274,35.42424050017895,36.57707829349527,31.010391327634927,31.49999744129223,36.208042135037104,37.25817144197405,38.08691773953499,39.523652732333694,40.13471096042838],[33.036463883016495,31.829566810805368,31.644378749089082,26.494805745758438,27.155276695464927,25.033446759399652,22.32500480021354,23.972378654647773,19.834597773565307,16.480748430863937,16.028786793604002,20.17271081032155,18.41930393324188,13.563772868600156,16.098719542895306,18.880185045934677,16.806749037376854,17.998933921004333,17.822015274015204,22.263899317316614,23.940075097264486,28.490802531424315,27.811066723950535,27.641606912094478,25.801467508565867,21.49876543677894,22.205228626987417,19.44117131733761,20.461400101478183,22.187461956314312,21.398121058203696,24.833647953610644,27.129447095847162,28.78597436730485,27.75292223816224,25.014162377624,27.185716245709724,26.20918106116645,26.713811997018123,33.08858998466387,28.780071651399048,27.17497162139794,31.37699768246548,31.64293705539396,31.434860794788456,31.9422834418193,35.46969606892116,35.42231737970503,33.54059303269727,38.32430670510868,40.620519527513814,42.152905444520506,41.76876227961488,36.4787804223653,40.13437497290204,41.93375035090122,38.14733268132299,35.588026789609074,39.4125804472466,40.587762369695454,35.37793754607839,35.390523954976025,33.322317492070276,33.54087915172635,32.05545786585456,29.34761572429535,24.311056023242898,22.14012515713834,17.64685362475603,15.962186976259705,13.499809835823756,14.150502518509175,17.638334889587856,21.001868191354934,22.43897881951805,28.312740631885482,28.88501268403371,32.22798418972599,32.544031303578976,34.513216921007704,34.55441632869378,36.450580014441975,36.79963344026729,36.721328079241204,33.123226068449,30.865376303055392,30.052833245903134,31.50172191229145,28.254316356074494,31.086172163571952,27.130014465518837,28.39969176729657,25.639461889474113,25.35738698256757,21.66182278960371,21.31153921112321,18.110476247601728,23.550631521999467,23.75865843181495,28.448104608088357,28.14077896218386,31.291206035205455,30.755404426131776,32.791222884774676,36.04400449192665,33.822754219369784,38.232243250121705,38.299933937248234,36.08042754231507,34.60166924898662,30.868120630833477,27.57261112696951,23.587312676402377,21.75121414669606,17.539378623901975,16.719224788780945,16.031788249732493,16.117967422638927,15.41211317195945,14.497464846829022,11.514673896076774,11.677048643401049,12.634282218813,14.972917552217652,17.444896455373474,21.574463309711767,25.731820733937305,27.35433935044646,31.08239749842412,33.5964871393235,35.47115683068554,39.410940655392984,38.22224770674945,37.597950271353014,33.8640585327729,29.525870212145207,30.39582488045864,25.788011644286073,22.232309201502293,22.43603635865316,21.065939097810265,23.425087812959767,21.235231164092077,21.32799765225765,23.822395928522827,22.181530548615218,21.01434229220689,21.8983554295182,24.502557196526162,23.045746825202404,27.352404278272164,26.014282819657616,31.01473554496666,30.60064323116394,28.51636194178637,28.713126920517354,25.516049191043813,28.43846699582959,25.863765572808006,28.856727898546605,27.153505579591112,26.164718935915626,25.356641995050623,28.758408809578157,31.005244604565277,29.316375390130418,33.499903412056355,34.8674083078177,34.65870158476003,30.554470560555977,31.513714319067752,28.129376906042175,30.58785051348116,31.32402827012809,31.046056823396196,32.6151294364305,29.012010882894565,34.58796680275775,33.789499006253095,36.386469107230745,35.28715889791774,34.18602729556483,38.50898624410679,40.49621194888448,37.071244284352105,36.84783942509191,33.51222255320974,37.94529492605033,34.727692490282294,38.6266316158884,40.37612232713749,38.966855549285135,40.199574290324975,39.55547880707501,41.25795362311754,43.15282577801794,39.512567602222106,41.98020621409779,41.173119315523806,39.45607961122557,43.515343200398924,41.552612370338394,37.75260833220473,40.45938810445181,43.25065285106694,39.089158425627474,37.202231855312334,41.84069693216975,42.97347248711407,37.768955376838655,39.71319189976928,42.757982176685566,39.472731150824494,37.34537168620511,41.85343659410809,41.82026914785438,46.51942311659033,46.60366740444749,46.253309443641754,49.46344664420717,53.47012458210654,56.282196050092885,58.21492830798944,58.776648342026036,55.86930036440687,57.113792659693374,53.4278616719572,57.23179513526051,57.425781238662985,51.139436413908776,52.547166205813056,56.4415451201125,53.020613520087046,49.79407007814079,51.782978288059994,53.21941517339125,49.5151108295047,45.93391126139388,44.7847449111564,44.9179201846508,48.28193764369173,48.51089829356267,49.21969462309141,52.163086835470395,48.02713567436366,45.54288834648942,48.70097553275604,47.613745808887124,42.85347166206672,43.879961938936916,45.712631981011036,43.30595917946195,41.83749485051534,46.9190686702395,46.75569896832386,42.68050720744265,45.55793429429233,49.46157033861691,48.784278029681,50.87079708357702,48.94687517701208,52.88107410105254,52.63348316664518,47.055540474357585,49.7034287386067,52.18836797194498,49.505704582738375,47.0466751630705,52.86936136922058,52.74951689235633,47.38044629322655,48.436964993695106,53.661528897233076,52.567481650484375,48.56228372055957,44.273741917732906,48.24276755955894,44.56313948056344,45.97424271626447,40.559532884402984,39.97610981999988,35.814527061684835,35.58211418199255,36.47470715591984,39.22152571601926,38.42672452436173,40.01365160498756,34.819590197792515,36.17449027625623,31.097927894317717,32.664108242575985,34.83279011434012,37.69145954996199,35.26880859718603,31.772844690662602,34.85672950751172,35.52601013921132,29.951067247196065,30.573184410123293,35.08963063544015,35.67501448876045,36.41792846358007,37.83941803208417,38.44128730841669],[30.308604460940312,29.407688805474965,29.829664459351854,24.59327509102279,26.236790308994102,23.805080464236703,21.768512129668462,23.804633345898253,19.523297137152344,17.079519023120227,16.914822562944625,21.052186317309182,20.119014718440127,15.255699522749486,18.48420954103478,21.424731130712548,19.650662161907686,21.55250362204381,21.857571756281438,26.143248799858203,28.07090677432339,32.58662982770267,31.99915394263062,31.686377175322146,29.682560431929016,25.379905146330838,25.75762956220462,22.738558628481556,23.717332441678778,24.996220429510952,24.608967688024524,27.45672410926145,29.80350126391741,31.967713356026564,30.936814117627787,28.441124240188522,30.150165954039682,29.585542374434844,29.987203150505067,36.4172900892371,32.11234755434429,30.917997860836508,35.23019300694348,35.31174274133775,35.060264551504986,35.22919597345156,38.87555364799002,39.032034029057286,36.80212820040573,41.47852903442144,44.03915217309415,45.524502521582264,45.37267252068137,39.92989151967983,43.54418149579597,45.63910241058222,41.96625994402669,39.3106756522824,43.20921456935201,44.55857021511104,39.455337437218944,39.52585982820708,37.3932244562917,37.820443054307496,36.285986427993585,33.428440037159824,28.559096868085867,26.181811421440507,21.855485988708836,19.84925705630112,17.619028550820904,18.229303960925368,21.6099885768787,25.23146923214629,26.384053636666557,32.31887660500689,32.89000380701767,36.065731514797584,36.342901370929376,38.328324915814946,38.05060747159533,39.91105161617299,39.86258382334312,39.67328536586695,36.10238256092487,33.90248212584287,33.54248825905221,34.76620077413229,31.940696161098234,34.60958915392324,30.771236128621663,32.08153786898266,29.04737388365139,28.36593061766815,24.422243611619503,23.77814020567244,20.25767996792139,25.658052397037842,25.370651445608292,29.514017063378514,30.039324686520366,32.637266903733526,32.779275107843056,34.237632346421584,37.744797164651175,35.00940604981897,39.22016574884376,39.13429303866666,36.46016424453085,35.152415978669104,31.062506982037167,28.359967836010796,24.099329855587953,22.757931947804334,19.090866132964575,18.476173069231614,18.71756410179934,18.83225773703577,19.159099024388233,18.054238624279375,14.807623991027581,14.107702438515197,14.255556330856674,15.895674574887344,17.635102866044914,22.055080280077764,25.57150327048047,27.80030521037775,31.541548034400908,34.60094254970568,36.084591763023006,40.23600866017025,39.39512304740676,39.02347254429754,35.138387711870735,30.729367596716394,30.928207128010257,26.691028228639638,23.232497204096155,24.146830278024996,23.112366905412898,26.103509730987934,24.243525062863192,23.9329640344274,26.71683127590904,25.00029743536181,23.390564692707905,23.90081373749967,26.01867459894333,23.98963051821446,27.937324128798537,26.270212332169724,31.35229192267652,30.322277697572524,28.8419138069494,29.54503869868455,26.67284643179462,29.53911036410985,27.59934764439299,30.307349998794173,28.972238924489204,28.677101368587646,27.719407472920647,31.482194613970837,33.385201651918116,31.41104541642903,35.32838879340981,36.603832347879816,35.93051170396231,31.833062438995317,32.85077381945231,29.746878285434285,32.590134961827445,33.49274402846797,33.39230116906999,34.80445168491325,31.386117513524706,37.05075132187444,36.433719918062856,38.794813157356614,37.69438646717419,35.99139133611784,40.4543566340273,42.55207603990411,39.17303562958121,39.509048975848906,36.46801173347466,40.914634695764875,37.542405887573224,41.24713404596131,42.70635364347321,41.195048142448016,42.00465459093735,41.04887314078767,42.51560671757141,44.05087285594352,40.09359800697541,42.37705057050404,41.11282942769809,39.47029354103409,43.18551115271975,41.203482450157196,37.36570729532754,39.709052886889026,42.38293016243528,38.08301560164186,35.94391417635644,40.4830932031814,41.586357746761585,36.084917204595804,37.83199126222087,40.78658134031199,37.42211099679049,35.05343318464556,39.455524315590466,39.62430133964555,44.30608363471684,44.64146944323449,44.538552122226065,47.67534119529143,51.92717505252557,54.5805964441242,56.85818322537089,57.63818677468927,54.97619490778839,56.49443705314083,53.043081293911385,57.001702389527175,56.89920281218429,50.65412373543748,52.420771699802685,56.26257872393762,52.64451680380704,49.639228983788215,51.94131656089038,53.06404352172302,49.13913441667149,46.09725626093897,44.54047355288708,45.15468235260633,48.4258010522809,48.31148207720968,49.24002941113959,51.97508907400095,48.06924492900889,45.40700150150195,48.15145041105808,47.19035908364461,42.464152309134874,43.08773887992287,44.725619205330084,42.224521732542556,40.55441666028535,45.56415122856512,45.23951071663895,40.92695726671789,43.759692956535915,47.7169037306863,47.16642005824983,49.55897740535872,47.96506814995901,51.952919574134995,51.30336324875485,45.78528938520374,48.81380895385282,51.04318494133107,48.17724123488465,46.0910399352706,51.985125909937395,51.49395149809686,46.15650410919788,47.64639451823787,52.73061025394159,51.32837100067138,47.31763151098389,42.84821710259595,46.704590242418035,42.78846878516354,43.981384839128076,38.57879498669175,38.242426798771255,33.92786037289642,33.59845341576504,34.885685007008874,37.78406539662794,37.38551094703466,39.057441897143995,34.08532599652056,35.91705994172612,30.843070791983752,31.858512590280153,34.4351410801863,37.035602345340195,34.823987705895476,31.09162455357859,33.627442257704075,34.32086547173761,28.995378446200338,28.92579359108062,33.28865402355245,33.85904373553434,34.67234116325081,36.15643744822221,36.795001483695856],[26.506045177926534,25.78735980628017,26.454865129317877,21.493401259117608,23.507799993249368,20.364703919346457,18.650857932916363,20.58874228450752,16.183366970150285,14.525678416715179,14.461260395650847,18.417089793507966,18.294586243529267,13.679887163270225,17.36592883743057,20.337305861549893,19.099538235727444,21.779732870841567,23.062658909134086,26.972551065852375,29.468387812246213,33.916020622760584,33.79749585150226,33.589397129486386,31.190711445692376,26.835244924902053,26.55439040721569,23.06466047133502,23.59772345818297,24.171337493077246,24.237936451983185,26.281441944329977,28.688668640841723,31.43888253774757,30.368949328724263,28.275672232499577,29.383420100428115,29.564220294213616,30.079891222772687,36.54350684783604,32.63452429121819,31.772467771222868,36.21733139638402,36.372377133778336,36.486904598505106,36.47779904244636,40.33878080485601,40.27739454429807,37.57974750950338,42.38989544336078,44.946870906647526,46.19633405534513,46.18039572223143,40.46163649577295,43.80137202293633,46.23066061061634,42.86614518654018,39.86905763514723,43.70794329471987,45.52551003469068,40.55189871701242,40.5290189165944,38.20947988965959,39.21473487806804,37.65648422378773,34.40466090520768,29.98218032349317,27.09414916438506,23.27429441785758,20.69709209036409,19.03636804424091,20.101919356685453,22.87716111935419,26.828763240910433,27.19030240087277,33.24861741371728,33.616646807820324,36.47084297329209,36.623413235512054,38.66608282433019,37.90925256273253,39.83709392259693,39.238965281316574,39.079213338106584,35.72956445438176,33.38887156623804,33.56810215882,34.30999145445193,32.11705439644602,34.479100050055635,30.916804536626184,32.47046377591941,29.087417980925167,27.85000903662918,23.607983089435496,22.880842314475128,19.007423854337354,24.0640195457654,23.258013626806015,26.85838103784108,28.069473637016422,30.174188524079845,30.96345256902354,31.998769998303185,35.88388720692297,32.83768467926707,36.89999970209289,36.932837126224335,33.991124985991014,32.571274790891046,28.354058594840584,26.134628947824663,21.631775869188186,20.989974229130173,17.68046634985273,17.75483631720564,18.689071402881588,19.494056444165885,20.619767779845834,18.694982290374938,15.504145523437657,13.826749739699343,14.055467659929102,14.693372256333442,15.499052531044208,20.310328594418497,22.956580679988875,25.69421894717993,29.38276312800519,32.68703640368803,34.22486632821749,38.36564410226397,37.9759177451464,37.464366122174376,33.84145963300259,29.37382565286893,29.463168086808132,25.65872834168729,22.570292351918457,23.74755127596073,23.697762842971994,27.090702586261564,25.04074620097015,24.11181596415154,26.86515422853149,24.68314479744452,22.79411172794234,22.61048844423593,24.20527631415404,21.600143690601485,25.15471716027987,23.11937451606703,28.156421744419386,26.737120441852024,25.645303898602368,26.68881886871199,24.142850476684636,26.998367190898787,25.64664690717895,28.290105985339494,27.62376084273867,27.857211819881613,27.302512976231274,31.160487762134427,33.1244036636331,31.422509869683346,34.98144153710373,36.57292291378436,35.48853461287591,31.405432815090556,32.11354498590514,29.080544213004725,31.83187109437563,32.56451935198325,32.36976840329098,33.407997843368605,30.081671992243457,35.72127316481721,35.49457642835706,37.6266433881752,36.85545604202862,34.52051907457029,39.286241931257244,41.637935070131235,38.42517804405925,39.247017552607296,36.491500726553994,41.15633944702049,38.08361335541289,41.48792505576157,42.79377847950826,40.943632316422594,41.46676939414225,40.1888577332977,41.37032464412338,42.661955730131844,38.47518410341406,40.42575322091802,38.88402073406184,36.99884667879846,40.47324963435576,38.25045468891723,34.513060527133305,36.883593075820144,39.2799480801373,34.82957018698413,32.97166640127297,37.34406639130403,38.10495773123308,32.63548200996827,34.49188969828635,37.259665456929156,33.71477087884594,31.539736430188647,36.01877763911848,36.40983420956978,40.86608304807504,41.71716686313494,41.45851743669284,44.40826486470401,48.79822777411763,51.2233452505998,53.7414609924787,54.42916533126053,51.88290893792627,53.44384828033791,50.054769978251976,54.18978121384399,54.06802451139768,47.899892538402824,49.79004139164222,53.777974680649834,50.19376363043914,47.267543540924585,49.78671373343643,50.971642597082244,46.96624278280935,44.17730121463826,42.20050203688506,42.786585246288055,45.913650750297954,45.45921987050656,46.325403857934475,48.813686313512314,44.978666013221044,42.38910037328486,44.823603178654146,43.76792027296355,39.13223090992211,39.682147312358246,41.07731063527318,38.48406858894886,36.892347145111,41.866819432755285,41.37391335830256,37.02209791820208,39.9977514158293,43.944445309105724,43.56401492107664,46.024781139170564,44.577444050235684,48.66450816021958,47.9290256177202,42.520933918704046,45.733426211205604,47.98234410411753,45.1144609849617,43.269136173712056,49.22591398801681,48.74172694691477,43.50285396083677,45.200173272874174,50.261385949892,48.89075725938639,44.95146785941828,40.4369304255555,44.4912098920294,40.59484644896386,41.39412411415549,35.99752129485514,35.41477845960537,30.912788131633267,31.006184908570237,32.45147012580784,35.60118209365724,35.24891799833738,36.578933058029136,31.586033496417315,33.487027219284855,28.387344781176186,28.858467019243854,31.321272051497424,33.68258831592067,31.41717777126527,27.773234712445344,30.068641071833756,30.546858236821965,25.339694031387676,25.20130660285575,29.418990739155976,29.81841792202089,30.616305957893907,32.12283146809441,32.815400074456534],[25.177095206128016,24.46202335952289,25.44526100973152,20.159538618684742,22.917146252849328,20.48726919994798,19.4344556219273,22.14352063048499,18.207339454547952,17.03448530586362,17.720299769119904,21.6798484531561,21.312770147439792,16.929463264200287,21.12534928562736,23.875367087192938,22.15939031632115,25.039032679671738,25.927514134376537,29.79871989949746,32.16381093435949,36.50823702769807,36.19489428355586,35.60264010630882,33.21557568629142,28.994872770693366,28.73230999530816,25.43452841722805,26.50951802425421,27.290179683030004,28.01943804505049,29.817408357396854,32.521524036267536,35.30498556985186,33.93909951658462,31.631953095148326,32.52244445191221,32.31703152049184,32.4166790911918,38.7783389281155,34.52394701609139,34.11257972439251,38.55491981477817,38.28318340462288,38.04017915676859,37.62918807837543,41.47685501828258,41.88315651580388,39.02273870262942,43.49475888147102,46.44008713106003,47.802816659775374,48.07625731949656,42.4173740545494,45.939169681489176,48.591239360874724,45.167356111835815,42.389064215431944,46.46410392479577,48.09534142005721,43.293080807735166,43.65154971176149,41.574700987053724,42.404310860734725,40.584793003536724,37.44726513045333,33.1014243511657,30.468021675729556,26.551331926654935,24.382297375095362,22.52594688029509,23.66621774159427,26.673491011145448,30.351829302512094,30.93001384507767,37.04970298683252,37.15595073031279,40.216855893462224,40.126249032107715,41.88185391001024,41.02431964219296,42.63643890976717,41.98502582343784,41.46655719996371,37.92769860969531,35.9975230748079,36.40938665296165,37.46785658359111,35.419727186573596,38.18043869399241,34.712534284724015,36.469157259712304,33.167358420359555,31.953919209822764,27.621395654915723,27.09179761841146,23.111546274030164,27.920369321470297,26.824700295422044,30.1572100573694,31.394969777165997,32.938142201398925,33.80039776189355,34.254088420320535,37.79473527202588,34.377040016216014,38.20035094857091,37.792129835995304,34.579779667672526,33.65168817323982,29.1825599339357,27.318487627053617,22.980388579828904,22.214056553558173,19.62991587309029,19.19094171221717,20.70162770697567,20.851923669217594,22.74139086941434,21.44338572418506,17.987755912207373,16.291978751996258,15.254845336311682,15.772943841094875,16.414129549824683,20.75452613954602,23.334113119053654,26.196639990000364,29.82405162208985,33.543181446000055,34.39198395702852,38.75067233898473,38.3681293593177,38.408047736686754,34.35154889549923,29.984067620192327,29.24938782963062,25.680340445475505,22.553539348716534,24.380294490540575,24.01758759178676,27.804565524956857,26.40991730353196,25.465364284560955,28.571542024579635,26.88719390345931,24.674678595300733,24.78566079904154,26.17402971627881,23.64918662196262,27.010089809143057,25.343623753780513,30.451358162689637,29.09628636227481,28.51362029096761,29.527413104670458,26.985656173831234,29.406089623167595,28.323082822650303,30.258006358945032,29.264726101472377,30.017886396748725,28.733614307961822,32.942215049683725,34.23397836421983,31.936332051256603,35.33683837122705,36.52214206143669,35.18105197608889,31.200036748591174,32.2194579315567,29.60189719691806,32.910723815299825,34.07958798238123,34.33259534301364,35.611404652000274,32.68016662475271,38.38586119454783,37.84679446691816,39.78576357563169,38.55597150822537,36.058370614070824,40.54948537844906,42.73721176953089,39.478146614281904,40.66236736274908,38.15564258123367,42.54580145441672,39.034399357257556,42.33850698225904,43.33181823644184,41.65377704333669,41.82342189173629,40.43052132754103,41.5371359608384,42.558165200062135,38.25328024657183,40.26542492524011,38.44171119570651,36.98041533226211,40.21836703118278,38.337011299325304,34.48033815160227,36.2739908298194,38.84289531603628,34.50108232313342,31.974787071684084,36.366430450435274,37.56919184246746,31.767473647157367,33.2135783015818,36.1121078400405,32.810507979972826,30.106535433910754,34.32571667993232,34.61990462313037,39.3134123802198,39.779564599935846,39.95372322998003,43.03241745643909,47.47794790082843,50.01949071228773,52.57871165959832,53.636354122545264,51.25342775254335,53.09679314867433,49.9733850275484,54.03400165880023,53.542885861320094,47.39114794267528,49.58338861675206,53.28177463208958,49.44204208174601,46.740436506130685,49.39899664476365,50.10306096109198,45.95415300315125,43.61550488716594,41.58812122638453,42.85038130412816,45.980081230717445,45.501126808950424,46.77715011622513,49.316500419551105,45.78811285557339,42.82467952208997,45.108847414630134,44.45540093099678,39.77382231131059,39.81527938836568,41.357468970067025,38.858920254041884,36.82755987054991,41.698411709875415,41.33699047442727,36.810064242023365,39.40296591972489,43.39259329871625,42.87183279210177,45.575516852773134,44.341298566637875,48.30032578828059,47.190466087928186,41.751793793133686,45.15204786879831,47.03744452098035,43.98325602631213,42.306000110229945,48.21304066215282,47.29918599329198,42.03588813957752,43.99355227260331,48.872607791816534,47.1413631953243,43.16156897016631,38.54224110940047,42.26709147602689,38.15484913967337,39.09055213867172,33.74693495005306,33.670900530023964,29.27770731742964,28.825222668105614,30.507883266675314,33.5430652744064,33.58492389738697,35.32503361041961,30.72153342255525,33.121744768123136,28.197332940213588,28.58337459171484,31.74523567314447,34.04917295285902,32.31363382784844,28.211912194299263,30.028002986425534,30.969755596736793,26.096894523758213,25.00765537162712,29.19747850785733,30.00618563023744,30.980297225141687,32.57665619278303,33.30784433876962],[23.01352677233777,22.84884584655934,24.40491593955421,19.752469275650682,22.988919038984296,19.273156101810994,18.636920857172083,20.743228929674164,16.51871571171059,16.359020729825623,16.555107035865028,19.970050182277745,20.901096567802135,16.844046910252224,20.736794633460626,23.64233784755167,22.865695159674342,26.056414224906863,27.820230739809215,31.48661064560958,34.24283422603639,38.61249070710832,38.68017907940999,38.4150663136494,35.84140167176699,31.524628585903287,30.88745943187752,27.203062151144564,27.553103480121084,27.58154431547857,28.01551438235755,29.329745266423622,31.685939308791642,34.93303769130238,33.902602413350586,32.17139299962985,32.74519825731268,33.46726072900937,33.95051531912739,40.34511704159205,36.63458414029087,36.14636692496317,40.64304208803741,40.70632587729795,40.90083410552215,40.61429932912963,44.58159957194573,44.591281804021925,41.53982471395579,46.264278876315764,48.98027690636621,50.11170697450428,50.300035204641645,44.43861218976427,47.62028649485022,50.35220658460245,47.1947245584533,44.04320538345483,47.87376508083744,49.95470092225284,45.1185157740612,45.0859095315274,42.67376327566543,43.982648562500515,42.40988870074817,38.97458440459976,34.809374285630405,31.696940132987024,28.144634792528027,25.30334063261563,23.91555818572764,24.99377918752042,27.546356847367313,31.679086296343414,31.67657653849495,37.71187958654015,38.04578041311322,40.643142637755794,40.74875681500569,42.81468017730282,41.69493306545718,43.60706996275949,42.53778661632351,42.309349231444735,39.12583529195064,36.81328666187377,37.48060445638951,37.87698559696095,36.21375528396759,38.30076275185327,34.95898803524597,36.56120186219458,32.94733700224764,31.292056999848267,26.94283901420171,25.981830624744628,22.004671154771014,26.634059690804598,25.291719151045427,28.005261075887105,30.189115888126082,31.564666993342083,33.17594220600323,33.539367038875845,37.70396598500061,34.17788041277026,37.88774566109664,37.845610556023225,34.44785014586683,33.16908490860984,28.713279083304396,27.366700528745458,22.762053268915032,22.9131683406795,20.420661476619753,20.883438838142567,22.55382710915099,23.520925417355798,25.345521056982797,23.200228586240932,20.041372653319772,17.837143340435393,17.60400776414546,17.364135518693477,17.075966238739753,21.852360500538012,23.300381620406284,26.706145833905783,30.21930336420046,34.000263449196304,35.17873051626005,39.39272935484886,39.51087521867324,39.16151905251925,35.61934776087984,31.211649989960783,30.679569262037624,27.53656883540515,24.832425045596842,26.58353401649957,27.0933037395225,30.91445558839225,29.08021017638618,27.744245571744127,30.58860466306238,28.27489313623406,26.07810534813251,25.38694631290114,26.318375275353294,23.136241446798568,25.970156061536645,23.530962464147255,28.359344930249982,26.15446186142294,25.91376270496511,27.569476554167693,25.60655590622404,28.285524847555877,27.783964536957058,30.073298432502764,30.016639055666403,30.95409577086078,30.460982809430757,34.49538011106609,36.18572354317149,34.41525098907833,37.550203954747126,39.15082677147468,37.56402197594942,33.6051153176778,34.21972984731485,31.53530342126972,34.461240587958514,35.23369181313714,35.13741198516744,35.874819138487396,32.812715088454496,38.35796789585483,38.436387144681966,40.257918568109176,39.63881833657335,36.63338242368714,41.53142705255381,44.031283853453424,40.980321125109306,42.3964849614771,40.00318342104002,44.68574900856707,41.64700448101673,44.755499266555574,45.765505074707995,43.74004431392883,43.81159946841813,42.177371749300505,43.02240278827172,43.881335664462526,39.405034034707214,40.99278805312916,38.928079644978155,37.0378650731535,39.98244179991512,37.660021106063255,34.032585293055554,35.996954738634194,38.07049116292905,33.49062496939469,31.577834832410474,35.645250109433306,36.15865611479402,30.500906047849114,32.16122438879034,34.65988872983067,30.973362238402874,28.683847691553197,33.00653839194427,33.761761273707336,37.99526485140411,39.41290223535447,39.33806342813346,42.06133759679474,46.73667267634913,48.84685982675302,51.82410808241344,52.67545513828093,50.462622269629335,52.29934429280463,49.21113779440862,53.53583307601083,53.12135817276224,47.109937253759725,49.3811266758005,53.34140745025321,49.632085882446965,46.996987190370014,49.87737703897143,50.782820175067535,46.58829273570306,44.47225600939204,41.94698742239553,42.9608633623797,45.874698622782084,44.930143975472966,45.95711969729712,48.08061624657034,44.5561488877029,41.88481422835901,43.70809074981676,42.73682274328434,38.27092121122221,38.36869809484054,39.39377514609688,36.69058505716609,34.968865677370204,39.75939147421261,38.99483008636686,34.4243124255207,37.39973143072024,41.34618051743753,41.21232707162703,44.00410294274449,43.00021384780153,47.14207188451796,45.95862120377258,40.74918873456322,44.403487080371235,46.374673704793146,43.356244956110984,42.050331754033806,48.0238324658193,47.17575356142812,42.096692676763205,44.30941175393605,49.150403246946766,47.503575535545615,43.65184832866762,39.004998182618,42.97638533647143,38.90941258534778,39.247679407547864,33.968734148346385,33.530322444069014,28.861529114965066,29.092197234144987,31.017277088134083,34.379304463104454,34.46755198247805,35.67512100828051,31.036073413582624,33.38341044075393,28.450803346374393,28.05680737063652,30.780970563485223,32.673492674314225,30.654275604793657,26.955954741030624,28.43792621752895,28.785581002456137,24.118889390595072,23.160056314951394,26.956220365674426,27.199106096154132,28.06719883353406,29.63759941813779,30.39321289095046],[20.231969327565196,19.92689496892623,21.779126423957567,16.80016744428715,20.950699157931936,18.397779403906902,18.670339602961704,21.775781075096393,18.4658217270094,18.785600189886175,20.031088347210037,23.453361466368147,23.809054280487015,20.15253358398973,24.731586843742935,27.25330979017309,25.817771809641414,29.351165561145283,30.77957233594818,34.25300671570794,36.972932854648704,41.14491791302549,41.11087819820353,40.382827246540984,37.70197991334587,33.59120645094971,32.793576797387324,29.3054086130487,30.284921960940697,30.523765164868706,32.02209824014484,32.8868003731154,35.745231440639586,39.04956138008903,37.5061955842085,35.49401068765485,35.665868525494076,35.924127836758586,35.85564107821657,42.048403653148284,38.01575893917914,38.21447179517088,42.705374121192534,42.22200019527415,42.07450226599087,41.22734322857906,45.20590556208082,45.733033695873885,42.357531924011475,46.64020057669778,49.82742989888725,51.0282948642503,51.64210707504699,45.82645647709524,49.16038334148092,52.267387177438465,49.133489836917434,46.21301918833818,50.34097452254651,52.27471252425026,47.747322766220535,48.25482515626417,46.173138359125794,47.395127693654175,45.41736900487781,42.038565769798645,38.15373027201292,35.27952130615908,31.755661458224353,29.392746167535616,27.87823834429713,29.309396866369116,31.986467820382668,35.75548174494815,35.83087251698209,42.01575099437261,41.81742833573461,44.677944557149914,44.340327616573184,45.95475113352105,44.59135737078975,46.037448568526784,44.809324513852765,44.0749979031242,40.69349122592542,38.95300727471233,40.033910086569186,40.8177192155552,39.486860060133786,42.156170399640715,39.03959729767793,41.081795472326,37.56173216606359,35.8925511338576,31.357912415940557,30.851261842802433,26.66411524704592,30.822763889015814,29.066854050306283,31.462518010886146,33.457583712771886,33.98857557547928,35.614827844662926,35.1299597419322,38.73525509535252,34.73640384620819,38.06103955123094,37.41629748922547,33.701050703773724,33.11707095147746,28.412056403294194,27.58202928167276,23.341435540162077,23.356960161327606,21.922775699456107,21.83151397708635,24.255678627411413,24.578897855927234,27.469342085497274,25.92815718123478,22.529652509583965,20.2029734431233,18.578684666328797,18.014209704556908,17.407541214350033,21.35454513981704,22.5531845837529,26.043360518857188,29.375023652481225,33.645764483250424,33.902930275338704,38.333315271469466,38.51627895614167,38.87469575087452,34.86040371016542,30.664111382524446,29.07765543650155,26.418644344370122,23.87054609221856,26.401874909297778,26.802399818516168,31.09050072769987,30.021435561867015,28.537922015577443,31.74362259759731,30.01865878971384,27.410241329628672,27.03277473395476,27.633522079603164,24.658728033009417,27.18391411068672,25.45089216897715,30.306552493212187,28.519853009813616,28.90596429593286,30.28893467374945,28.261536151247274,30.222959856888135,30.066087941526167,31.30260314373267,30.840118186836772,32.514504257535634,31.150162611161416,35.57676949539914,36.38985900477183,33.97456108737425,36.76018117802936,37.9178006089085,35.9327254545941,32.18757255728191,33.09125712199457,31.002772849915036,34.55108438300025,35.84728413661769,36.338072390482566,37.36172998492362,34.905030735908205,40.48507632794481,40.14305819030846,41.65040828933398,40.450520864722925,37.187896050261585,41.68649057441962,43.9790258188619,40.934777389534176,42.9026529614065,40.92652715011308,45.25303556621149,41.77244304018259,44.631856943937315,45.19403674715357,43.32559610648344,42.88130497117555,41.05277351801042,41.735489967087105,42.19712419104194,37.593136394885036,39.194359838792955,36.7672702321562,35.44077654711867,38.03594641882676,36.2064007123016,32.46443792343766,33.64016605953978,35.93490815852464,31.578199914501045,28.7890096581735,32.84595398941095,33.995403198941275,27.968474173767675,29.062196279528013,31.76047401993711,28.497583271431076,25.49717557628833,29.450456637036194,30.010624064392605,34.5678206180968,35.40270475776792,35.85207278964898,38.752074899029274,43.43705845273022,45.73798423338038,48.68820523452234,50.001960934752304,47.98259458020578,50.16141818606349,47.429279259856855,51.61226621869135,50.728082926432826,44.77115213137999,47.40939746136658,50.970627151106925,46.96423542355828,44.63438029111235,47.68213413622246,47.980683175390034,43.63390849631618,42.12531032363864,39.52512638892107,41.40135478637038,44.286387367707476,43.331477906373394,44.904139294925024,47.1175606152929,44.03440533575345,40.86073007794484,42.51946128805885,42.14125454456538,37.6322930029825,37.04669184220542,38.34747154275098,35.85056040523517,33.50864603626417,38.12635829561651,37.641865654107875,32.91933732847695,35.2737497448921,39.24816855035443,38.851114808515476,41.90259282271779,41.136699754248674,45.05748843024168,43.42802388619305,38.18881051904216,42.02152599022934,43.52005743956887,40.291731504611256,39.180514743686594,45.04709408977915,43.683379187970665,38.601801298768606,41.11733593877213,45.70499195995712,43.641669151801274,39.766797860535824,35.02821165083891,38.60865887201441,34.325830573735004,34.802877540810975,29.609982843871855,29.77640702288745,25.30357584413551,24.860240813213114,27.062393596514408,30.273726875884137,30.84460603346425,32.50860168361442,28.436693087345258,31.392596324208746,26.794773651329272,26.287544944555865,29.91286431096198,31.736470514357087,30.516306814840895,26.227751819533594,27.074845701561706,28.155446343146135,24.028616756927587,21.779139273513792,25.52792501680259,26.49031350846654,27.626161634144573,29.313751786981417,30.13802747843166],[14.909379695695309,15.256340271375212,18.042407192434375,14.08789631566744,19.207790786209365,15.845030286594126,17.344966918399923,20.212598598039392,17.56814720755927,19.37582718716592,20.802537002020628,23.407617249335424,24.697352954557967,21.917512572951253,26.460563783351468,28.730966175678013,27.89707407240744,31.942465964651234,34.14568588001743,37.1572094882625,40.319837709149404,44.3290808832352,44.74007938809743,44.113541229850405,41.117044295999655,37.07140779530163,35.68696483719066,31.92324302028558,32.45626260604481,31.96347074186187,33.94208451425819,33.848563391490956,36.66646345813817,40.484674842133174,38.920041977808644,37.402688047337776,36.875943183900496,37.89883443784985,37.911316936574096,43.90659872613886,40.41206602623858,40.986049386593216,45.49368662192505,45.072644699799284,45.2910212047,44.25693487771173,48.3761931198053,48.684470612914915,44.86485103027524,49.167106070669405,52.31550252043351,53.232487385093314,54.01391310494747,48.012675235258605,50.969660256736766,54.42553405116196,51.6922654050948,48.474282573586,52.471234669919596,54.874371699256315,50.57539801561767,51.00077848184734,48.78185697853991,50.55884429715279,48.576406367433044,44.87626189496606,41.50951356282967,38.254753296155926,35.27302290775046,32.54217125670986,31.52227001269253,33.23553096909411,35.38405815221385,39.32452757477232,38.71101444820491,44.85731439641689,44.44443645702811,46.92380857170421,46.43890113120671,48.046493970847244,46.17418423426489,47.6185562522299,45.76561325153432,45.033491350344384,42.009893770882506,40.22874301909384,41.9137576317986,42.16895918466051,41.59657859316317,43.895288917936526,41.18118485269556,43.427377644342805,39.676758297626286,37.509044826751044,32.89523684102025,32.3668168432056,28.127370409733217,31.50154891377025,29.178205456117848,30.538645395747558,33.351420099865514,32.99674964155613,35.457765339275504,34.24438000009959,38.120192016188795,33.75721449882534,36.60308046543968,36.04063153862245,31.974603892058703,31.416066284312457,26.70822779789029,26.91133109135144,22.796164880815862,23.845585676707074,23.28250998231324,23.894140565407806,26.857728113604843,27.752295633203044,31.170189359457083,29.05126071044334,25.92357130335945,23.04574552478045,21.57363643629195,20.02921147243853,18.217751867457768,21.879784543139568,21.39517655211508,25.45945286025585,28.398623232610337,32.92177620411368,33.0422529287598,37.3072200446027,38.17688307374962,38.448784053999034,34.904594145962285,30.899590324311166,29.035227656313793,27.303948310436155,25.49957362182344,28.241396705290846,29.686746105856187,34.17205059550881,32.99720689149449,30.965131900345224,33.9872253797149,31.914802764858674,29.134902946567788,28.022624765664684,27.826999489142672,24.355070547843905,25.899324605256787,23.882079889024396,28.233385837040753,25.924848234821688,27.19754634389861,28.995392000804834,27.64751971651182,29.268005587968926,30.05817313353246,30.905915670287868,31.32665291090995,33.670764792523265,32.752533213419866,37.106521207788795,37.85967946438785,35.811938413169244,37.98854485833416,39.44689728775141,36.96192996810071,33.44922992876474,33.936546761863156,32.14894942364215,35.4743914172382,36.56552155204738,36.99595924681357,37.52784952756197,35.40479759728291,40.69409339015527,40.808085508315216,41.92260580521307,41.11567060736714,37.1095221998827,41.77689979022364,44.303752436491855,41.58333514468197,44.165498047867864,42.634896390821,47.057957363251624,43.9846472404989,46.38791364401258,46.70522407871247,44.48246244007589,43.618154120735625,41.38975403271387,41.621527951399564,41.64081134226047,36.827325950565225,37.84131145527314,34.94777379208878,33.40169741536283,35.36619070435456,33.29174834336664,29.852719157301383,30.77063083994249,32.50635688806908,28.049985842882517,25.63603922065705,29.176799834623807,29.77995430857315,23.819351944977512,24.877267282077486,27.1399410665022,23.656896208472286,20.850915487169665,24.742764201403183,25.78749346690724,29.870432996449058,31.646641521562064,31.964285888906705,34.47371795619907,39.40352694391452,41.26639273059605,44.67260031038183,45.936442799111006,44.222494904851956,46.55008657804558,44.07362137615323,48.46741127130283,47.43977848290698,41.74106390559106,44.644867074297004,48.29363745178888,44.344734736633015,42.28108271719854,45.665877434994584,45.92203568871177,41.49628772202375,40.60271930115545,37.34820867433208,39.34159123945373,41.893591636200625,40.358992708188524,41.92697746001256,43.667612628018944,40.89835516368831,37.80612887932016,38.78439497139464,38.40408976168628,34.183165292109635,33.240646696823596,34.08253843697388,31.50889517820245,29.16833973665024,33.54155746078745,32.7726051757705,27.950821031146038,30.368605480341245,34.28715779117802,34.19221348188301,37.4559066968589,37.09472998101048,41.080190159358835,39.15074223832377,34.216846092322804,38.41409048386714,39.77231679855951,36.52235281587802,35.98379280087274,41.818326267265114,40.33046250410744,35.542471539426266,38.48817609779244,42.862896736410406,40.77369008928716,37.106740592082716,32.37344029554093,36.105016812061706,31.904749247584096,31.606098742256908,26.616770401014826,26.49395622957931,21.83455478391519,22.102038660973967,24.674731263295286,28.196912520483725,28.999953877981948,30.08870545883583,26.365844488615327,29.496045875143025,25.235383663486655,23.627473879076437,27.145535123919814,28.35624024526437,27.367388967541572,23.300759461819514,23.250379561471966,24.069124713846193,20.736883375856184,17.770502166420773,20.872633693628032,21.649959457493807,22.859541267068106,24.59790876405464,25.533612076331266],[16.76213679768645,17.905623774914666,21.087861593145362,17.940116405432683,22.780817605257806,18.20691740161424,19.533999699855734,21.4295890283104,18.240031311833242,20.385683917699513,20.94496576622489,23.093099088481313,25.448153091422085,22.637372148226618,26.525316804630368,29.070150333777725,29.022405815403445,32.897774437025056,35.496901066759385,38.6137000140215,41.85752573986613,46.01457649224401,46.53464258968449,46.261578780991414,43.33020305738968,39.12629118893509,37.80752272106183,33.846291507061366,33.794830647281074,32.908617572047426,34.03731227932625,34.02412090668338,36.285839419677245,40.264168687201625,39.231775780327816,38.15306170798149,37.76503708296994,39.42533745624234,39.898267993339275,46.019423720833586,42.862089625348624,42.982833165111536,47.50487946336874,47.501231472982404,47.99227891308989,47.3153068772558,51.44951712324729,51.39798655891388,47.740727785915965,52.35215462838725,55.18859344435506,56.015864544666044,56.5196109192477,50.44091629552473,53.20963191774287,56.45265585840716,53.77257789934724,50.31149095231841,54.03587191139484,56.65753824789051,52.13925949907736,52.079637797547164,49.529124233086016,51.47461237589074,49.8602542179863,46.06853834192027,42.52231409506433,39.01047765262537,36.072135093588706,32.86474186145884,32.01832701511357,33.34889573989226,35.347984542249684,39.65675490163845,38.88914413471993,44.83966822495892,44.93920049421422,47.051220024283005,46.97729280890433,49.01017496076723,47.21463450849437,49.06998134777502,47.152339494061884,46.845061123473926,44.08541444721375,41.82638742771499,43.33929862974652,43.09169578694961,42.44624102638371,44.0603821532338,41.24674669125587,43.05685258482178,39.14436039661721,36.8157297883915,32.40586386057911,31.315944917916845,27.341372452119412,30.84835006495789,28.666620734951664,29.697827053991638,33.285264820881025,33.289399645401915,36.20738715789481,35.40952271033523,39.915029840086035,35.76454425546147,38.699356552317404,38.642433180850944,34.64887203992722,33.56409939621309,29.046168381330084,29.29826393418369,24.92176815996461,26.434951504122658,25.3301628966122,26.48475505240452,29.04176929220805,30.42963497069499,33.16943418999116,30.558574733749516,27.62677726918586,24.763588669755325,24.2141708686666,22.749263702236735,20.89278242963748,25.10309867233241,24.28686503433826,28.514337586005393,31.452311200906934,35.734100438107575,36.436412570187535,40.5022701017525,41.573271892862884,41.336152315808576,38.25770976146188,34.15167759608336,32.8656666376752,31.03692262062307,29.233670590595487,31.571754603976064,33.18486950315942,37.446258346631815,35.781062236031175,33.77666472391604,36.54640423632639,33.96899904543338,31.44036653879436,29.890054357341484,29.68408335275541,25.81263738044408,27.156023894091867,24.255704076427133,28.25358449060643,24.928893737334338,26.255161240570256,28.741035416105078,27.901211081191555,30.048919092548562,31.00789108335172,32.60867996023613,33.68636825267052,35.68161858589727,35.509677170607965,39.58988043521641,40.944258440436755,39.35776960323549,41.6557021542682,43.42495729753216,41.067474267617456,37.45804342849634,37.71174606568054,35.61229642706683,38.50173961403568,39.17307173427758,39.14415764190246,39.27109381234231,36.759469354583466,41.91182376646544,42.563513340818595,43.79487836232937,43.575605050292786,39.500924710542364,44.53566404779661,47.2906528885499,44.65297017030339,47.02065838979938,45.29174990913667,49.99658028193775,47.273360872569015,49.772339232700254,50.325079147699135,47.927880242175306,47.286829537371695,45.071447597929705,45.277436637978596,45.40000391349406,40.590720131185954,41.386310269971744,38.52794676453962,36.52967608417195,38.40714562487298,35.86081607038022,32.68609098884339,33.98992040766767,35.24368684409026,30.598406046774755,29.007215064554607,32.206137085221485,31.991365705200543,26.410677090571788,27.77114436131222,29.51302626907329,25.599983725187638,23.486651146346418,27.390513928781345,28.932753273483883,32.3837824893026,35.14073646268532,35.16851650328549,37.266066145032184,42.34155904097603,43.72450829558552,47.507584245742954,48.47949445404158,46.8899280493617,49.09760642753087,46.564090277808624,51.17511710132605,50.35840660030051,44.80416558782595,47.61963320347766,51.552582613407544,47.816336119904136,45.71891641784993,49.15719200611119,49.730820955954165,45.361749530486456,44.40143787927833,40.9199076279805,42.42444651896729,44.824013192622424,42.97503709243411,44.136948067833714,45.485620865423506,42.58083116665346,39.95234924598215,40.582791852821366,39.70453418527387,35.7495911014353,35.11190427333565,35.336690850778055,32.51105921489329,30.732517121503953,34.99264430293375,33.690199036765016,28.916101897293558,31.898932509328915,35.70063079631928,36.10704644104811,39.36565968770706,39.177835233491926,43.34872165747239,41.4798626614867,36.84221210707017,41.15819037416875,42.69167122915508,39.562581902211534,39.28924892254137,45.12759311318991,43.81991389143677,39.239741879169394,42.252121652161854,46.61164917355812,44.68440335962793,41.156789003058805,36.49410274898671,40.37734941536026,36.29131048863083,35.56631791081148,30.739686315849465,30.26889740785179,25.495346520720673,26.375912748885185,28.981543372845177,32.64319801948485,33.34759246181717,33.98937489874039,30.129930508609817,32.95192528657586,28.6174411626468,26.606913631645682,29.369463395853018,30.240329724319782,28.70579310264889,25.317581754558,25.196890353415256,25.122953393468016,21.906373185437534,19.638112702976656,22.167580344737164,21.963437205871276,22.920907525589772,24.530766864025736,25.408446481685516],[10.95480998446348,12.6104891769244,16.425231697819836,14.528148274868949,19.814315272879426,15.26513956642158,17.775750815284738,19.701959906991625,17.776058423538327,20.95887999322147,22.16026326124649,23.660883756234217,26.118698335768443,24.27695314726721,28.359643005171336,30.38895884093704,30.397068317518595,34.72652974096682,37.720586404595025,40.29214953608763,43.8463942001654,47.70670875593309,48.57626373178106,48.19213803586202,44.95765840634326,40.96208664947012,39.09194821949368,35.080598457900535,34.976551550538005,33.67942188100792,35.77605262735006,34.793047113768594,37.32112343303802,41.604516996261204,40.21997355448976,39.35464769411105,38.22415181682283,40.18279003325411,40.45198105395237,46.212761436800285,43.41839345604776,44.14266206324064,48.61158565633818,48.42861764988437,49.108012584030064,48.076415997906565,52.293032587200024,52.2227587370569,48.10318257521471,52.5231409815801,55.45336075540671,56.051986783247926,56.85957893578394,50.710321853059185,53.19534744164563,56.85653356024781,54.55533067982457,50.98962172228072,54.70762135585085,57.62490994618276,53.50053984939479,53.66472481181558,51.221651808630064,53.575421131504065,51.736210621028334,47.73787127632307,44.84533614488293,41.19657150767797,38.785817994079146,35.62702808234268,35.13284559432961,36.97167046717002,38.542780303092904,42.68100836725404,41.37690036994998,47.333328931809206,46.87427223296636,48.83353418481743,48.344961653609225,50.0713087175654,47.762830150359505,49.3413984365427,46.89193975312946,46.3438504357766,43.82078596755376,41.836887366661365,43.996265507785516,43.55612303321414,43.69360490686098,45.36923038909716,43.06085904318568,45.33948439717478,41.38664968641232,38.73520080198339,34.22305329355839,33.54252454090894,29.474513602777694,31.99130904250129,29.234553991548605,29.38576942899566,33.18231211367868,32.07278907154496,35.46697433743043,33.731230865938294,38.043927930886305,33.53549567871686,35.88297607236273,35.667395711558854,31.415519603549107,30.625998452812414,26.18954878467627,27.414224388131792,23.514787111168456,25.67550220535376,25.68600521530681,27.10028022865385,30.24489450265556,31.807103424954423,35.334075778721136,32.57496225462351,29.83568900133293,26.60159016420113,25.668375662966497,23.44795099426667,20.74577595546804,24.160766697756785,21.992963512112233,26.449324105776377,28.88890943640126,33.36449937020701,33.672296394311495,37.55668298146659,39.158315768587585,39.06914775768238,36.29609476061345,32.53020998651845,30.805895236977413,29.909255429900277,28.821291746120178,31.43479243826877,33.831443904789424,38.286391307853705,36.80841941047778,34.348606132215515,37.02308590002,34.47415201348981,31.726804505745037,29.806777722037673,28.873213530009817,24.9279371033648,25.336279846672067,22.77865599101404,26.250487266899945,23.111057363431396,25.321023654872214,27.70736728215747,27.291810940964165,28.696664445553182,30.459359124380423,31.20368062614848,32.738988722514286,35.48501951667798,35.328100502309866,39.38806283558073,40.352504149781986,38.916103200919146,40.56275064355879,42.44521889463119,39.63574268210822,36.354938024643474,36.31912362535189,34.67822022067555,37.490802219088145,38.16343387277928,38.31896603210185,38.19645454562568,36.286232745773376,41.120596734678735,41.88893314076032,42.65642668224932,42.49949852447654,37.84432468140664,42.74988728354777,45.56667895509214,43.23761304830345,46.2435937847246,45.059553457800185,49.64165175059887,47.162020670628095,49.159354383745814,49.37066665690532,46.757539606753014,45.6416028896396,43.09065290771797,42.88902698625554,42.56640170340693,37.667471282096656,37.98479632841277,34.758192960796414,32.76345110296182,34.03800634827309,31.4909279312551,28.598759470823854,29.496947161939353,30.349378440197476,25.79379964923735,24.3953703740987,27.101798380454177,26.613931213094723,21.15110341875464,22.394430361775292,23.819499906557585,19.88737740202978,17.92644320758334,21.71706189494215,23.534343792574905,26.615883331614672,29.92378961736832,29.81878857118522,31.645616136871812,36.80310101810391,37.95769545516178,41.93880116135708,42.919769592564755,41.54979594492174,43.89439490815907,41.63053916397465,46.29727545447388,45.29771697228993,39.988642059947445,43.0255770187876,46.893662979666445,43.19603694093531,41.36796891874773,45.03469354191633,45.47574112249001,41.09633097511022,40.702702393551036,36.77641597122159,38.51882096219243,40.624904730083024,38.391979613254534,39.69603988194694,40.75346947353331,38.248146101018854,35.533068029628176,35.65476917204012,35.009857254507246,31.28106726963469,30.17505259110675,30.211980850576264,27.46589254228922,25.484409091387118,29.491837260677947,28.1598746627826,23.32709224636236,26.132184243474033,29.890869821714322,30.377979557953072,33.77275193494637,33.87624279705524,37.98843483318253,35.87855233204974,31.472531974628698,35.994319758455234,37.34987587302699,34.228427301096175,34.36515885681702,40.082420361575835,38.683104632528504,34.377112871852084,37.65608951753293,41.78578331545747,39.873951681715596,36.55501998206,32.00614169403254,35.96544888665063,32.08444752538864,30.796210283407124,26.233223827560526,25.482440045137608,20.756912692284757,22.22504054785926,24.95795704328523,28.72831862439721,29.568083483820615,29.747811350124685,26.36352901696633,29.31889300322384,25.50726139914162,22.675610183217415,25.48259912772144,25.84099155102553,24.841238582410845,21.533395066960946,20.49667726872468,20.50096432435343,18.281885002433896,15.074804303701296,16.92602592868497,16.925115346915483,18.09674435152995,19.828715639113256,20.894661144923994],[14.72154127930819,16.81306437610008,20.95565375508792,18.93383053437338,24.433537720840278,20.068592702721467,22.36705950617498,24.228090395225585,21.83806018941558,24.69131759113354,25.482721373553407,27.141062370417476,29.8077941319318,27.486595703860914,31.384415073445,33.72873567451675,33.810334917656874,37.89462155450868,40.665826600040894,43.58086902763978,46.951849307617685,50.99841868266546,51.63884958920734,51.281141681520786,48.233021498575326,44.11601227497165,42.573404008242846,38.5927514811737,38.5188627925006,37.378268129697126,38.86824577527265,38.34699561939521,40.605489470677234,44.810161222781495,43.7204390344346,42.83925415892032,42.057681854553174,43.95712257978444,44.32846329320981,50.26297867772603,47.26871274768315,47.71823325584949,52.22440009567197,52.097241845161456,52.618884780629614,51.70139017681426,55.87153133698949,55.90595854246769,51.99202353356167,56.43957180315441,59.40231752035516,60.12415847407341,60.82875265986794,54.71324822961659,57.337944394533004,60.8285743691296,58.341368920274284,54.826874066263535,58.54587749231872,61.32948006639534,56.99285066850241,57.01084676307186,54.47072119558013,56.60995421971871,54.92558656393794,51.03848663628674,47.73668524932304,44.15161441740341,41.39719004865219,38.16154380100527,37.43458833184898,38.84961265119719,40.73254978504318,45.04336583231356,44.07201806043402,49.99013722536302,49.94991230618321,51.921095596872775,51.725341715848685,53.66861551054592,51.59735491848663,53.34059988188674,51.081634889250445,50.65386227450862,48.05319335557407,45.9404569243531,47.819385519872995,47.40133344014885,47.17735880187171,48.69521749532006,46.11440918366071,48.03158493273686,44.053976779948,41.51813786953298,37.12262387249861,36.048469052149365,32.12371731282749,35.13863775652462,32.65251555975912,32.93838004832825,36.97751828734867,36.276380188374695,39.680779479009274,38.25965716602732,42.71208811124438,38.28153501536032,40.70749424048222,40.51528561137493,36.2685164301475,35.46265590311302,31.022090847622188,32.090511116672474,28.053149836267124,30.000634556665258,29.58627537532833,30.830948587275966,33.72940235225226,35.10794769284957,38.25358801325277,35.63199610139775,32.739583120556745,29.727840255671264,28.890490808455716,27.08128679486848,24.770718517202432,28.441748903753858,26.693325419244896,31.10387365361114,33.641580204209916,38.129605673389975,38.39261161204469,42.34210872120585,43.847239102365585,43.82097659051846,40.905078010283574,37.06638200234345,35.266631732926754,34.13984707410988,32.75685447318236,35.39930926521259,37.325679975481144,41.76536006161837,40.321090702439676,38.10207317793138,40.87989024761701,38.35187995346955,35.680058361821054,33.92300668537253,33.24906600277395,29.279848127166407,29.902535979124075,27.06485823954169,30.497898045430905,26.857571962978874,28.96945823570386,31.680691054888907,31.331723811300535,33.066806146001795,34.65008238672284,35.74690181399789,37.17831868306137,39.66978350088665,39.455634308208744,43.56904567069981,44.606691778154065,42.978587347821474,44.842494483714106,46.551725153248135,43.82776441923263,40.47963149301706,40.647234817191766,38.95150261728623,41.901439199274215,42.62639939142888,42.73736237312847,42.66995975323567,40.52888884533063,45.44924974595764,46.24923575422499,47.16508844858141,47.00145562192282,42.49608197141304,47.42452776831013,50.20716456484519,47.78113001958308,50.62103369671649,49.249631669104744,53.84999904185878,51.176726906202084,53.36684534350695,53.63412124075161,51.14569275112317,50.10214299857073,47.624383533769226,47.50595127839328,47.1923506956576,42.28809973971454,42.68462487970672,39.40117512462978,37.53955597263042,38.70868506564888,36.23081714691761,33.37848409236052,34.07039951201143,34.86595167398809,30.397638540939543,28.82895685712664,31.36691602826304,30.871462009927605,25.4625149204078,26.38580196981324,27.588732409188125,23.798596625599885,21.694626038030133,24.973271411109526,26.97845229263701,29.862306057193706,33.294403560605176,33.56165858470239,35.24487764841459,40.489225368801854,41.42768003465801,45.670880450176874,46.840032615784345,45.71404568322168,48.203606305533945,46.12934794466043,50.79591737571556,49.63572192965815,44.45192428034402,47.62053912386247,51.37276082487355,47.600011093656356,45.917499276726026,49.63798551733962,49.86497057372191,45.43523488738136,45.266836092806514,41.337091468682594,43.28553350432875,45.35872685753422,43.047876116453374,44.395550629321555,45.30206400051637,42.90864301827485,40.244565748482565,40.13259672876538,39.47149839222667,35.90945336891883,34.689791618749304,34.48032308268581,31.71476509326469,29.802450962902835,33.53123308067729,31.97244397785209,27.164765283100355,29.87806927351496,33.48671462525702,34.18572464686144,37.758598585289555,38.161784644849995,42.206008263298614,39.81459961937447,35.638286335016076,40.314058064601724,41.41594617345532,38.220712545893846,38.64244090526354,44.249311123562684,42.53606301824102,38.35495301858229,41.85734990365932,45.78108325435223,43.59589539573084,40.3247413448312,35.73955937014662,39.34270147021539,35.2738019651268,33.94865779347905,29.600191879454705,29.325968217266208,24.765364739846316,25.800438199107774,28.783074685161242,32.426223129393584,33.59703144518131,34.03203908641272,30.896535009249398,34.01566525932268,30.22906255029304,27.4519388155292,30.321660122479674,30.570050193218485,29.563372933188855,26.377372834660026,25.180156289788133,25.031166258334036,23.016529388755018,19.836986533208524,21.297149662573105,20.970053102513454,21.998083829158684,23.529982862682175,24.398982361404503],[11.172949860465668,13.705342518835394,18.411765080451723,17.362488345170384,23.270892355264728,19.864945824093127,23.010310255235172,25.241017010075364,23.88727908148559,27.11559245376225,28.53584822801531,30.013399399680136,32.32832811134597,30.516684150103952,34.74196532580354,36.722450460025236,36.514897041811246,40.87981992876281,43.650879387189,46.24877928646646,49.719255533125036,53.5350051343515,54.28699313392299,53.6735381593642,50.466285321566765,46.55856039092444,44.7183512517401,40.83493909542698,41.007987751700185,39.821956353157645,42.15542937249369,41.08835392829256,43.68920123357826,47.99607165111786,46.51348755464417,45.57538079912093,44.32328694568756,46.10263938616354,46.13725474074787,51.75923948425672,48.81548093165899,49.83358752304488,54.28019527600039,53.82996450226314,54.28682096881759,52.96280544231122,57.14224441968744,57.3957333641053,53.14955153001813,57.26451237028727,60.46645721405417,61.099611854400116,62.138844847318765,56.06278980664241,58.60448580158553,62.45012399376109,60.16631797746641,56.72983371461691,60.57089116787827,63.40870396432824,59.40779785822439,59.77157447985143,57.44417282486362,59.710439582086686,57.74573904551751,53.805367040148255,50.9141040555711,47.383785734323205,44.85209788383709,41.840334982642865,41.186559492229755,42.961156689990155,44.74415204451306,48.83522369104235,47.68846538484514,53.68958054905783,53.16254393537076,55.20348777534194,54.617763389845265,56.203799033933635,53.81473857486742,55.19630724664856,52.64891788186734,51.85812548845172,49.30261001065171,47.60394245737893,49.93597197441847,49.630489141304615,49.88272091406212,51.711630257894186,49.44279270229965,51.76351515354587,47.82521393354885,45.18430876203681,40.66631933714317,39.98729310639279,35.92390905803165,38.39044171310453,35.55204827289875,35.41949732912341,39.30295624597617,37.757745268191556,41.27682227649686,39.05779071469685,43.037561980819326,38.29316570922164,40.16163187933121,39.5683157367184,35.11910504208586,34.87080552718306,30.497749329726332,32.278273855056874,28.791570644408775,30.891670613827916,31.395525172144566,32.497589899814656,35.864305965250466,37.053751083015435,40.898171511484676,38.465092581174524,35.57899969639605,32.418686524749354,30.96992743074393,28.788536638103707,26.102114490273884,28.911020637948997,26.446069163868504,30.81748586501159,32.90448820128991,37.60884584162171,37.176108891034175,41.036986320911716,42.84376523391482,43.25893694727697,40.333631938820446,36.871978274829374,34.38190514947852,34.03198431502095,33.13543778164471,36.15649670420645,38.37776741992473,43.01015085861259,41.98334277933793,39.5321359419446,42.37152339114865,40.14314560959764,37.250158943281676,35.51022361492116,34.40389325158961,30.626796051579937,30.6944959486644,28.48803347653897,31.599099669208034,28.464623554380537,31.132091525959595,33.52919708536355,33.284165530654676,34.31696667313097,36.339865259761574,36.53866044729196,37.94922961720443,41.060789817760934,40.46983047932632,44.68032317122736,45.11596608995704,43.30889771640247,44.638238276012935,46.17075532343144,43.062153192559634,40.07368160474951,40.21382524657537,39.073864386708024,42.2033534992215,43.158884200266684,43.63032685004955,43.590661027955136,42.040590984615505,46.77487213276606,47.40315712945441,47.940271917875755,47.52352037298423,42.69000317444952,47.27023367580636,49.93877485328523,47.71207736281194,51.095495131289795,50.19853100466355,54.524015523168025,51.802841235127836,53.59332074331372,53.468623431673464,50.97075464932447,49.44006390957247,46.72445802900711,46.29740743144264,45.52386374576959,40.59877710401881,40.70002318227293,37.04965670924258,35.56367274541204,36.095690074727564,33.97650575904333,31.334537449000834,31.236583387671715,31.845976759368213,27.731575794288236,25.79033064106828,27.81365338982228,27.53605950492732,22.172252844387906,22.478947069416904,23.44815548716234,20.115469810860127,17.638735754601715,20.241053411668823,22.398229422972527,25.07673114103812,28.588084759137402,29.186421228630813,30.704185724265866,35.98423136922241,36.824327505958266,41.21005460395754,42.706062182862304,41.909121033367114,44.697216715450786,43.07466788240295,47.628399416840615,46.05840855619873,41.159948256470365,44.6663682314824,48.080487673822105,44.1972816765864,42.92058774034274,46.834699834990936,46.60155179814883,42.139679286005105,42.728993212513714,38.53364960809202,41.106919909390065,42.93540527835556,40.40286503477386,42.14557750131189,42.89383866450653,41.06508449203876,38.11094195422004,37.55333914765563,37.42148953336914,34.07740666485267,32.15366566361286,31.969518790655705,29.475916669046494,27.083304087351927,30.3533397368824,28.97218990052415,24.168574621601984,26.18063556606391,29.66883936713567,30.274426769666757,34.099656771221724,34.91103018855817,38.69269535855107,35.8233112754498,31.914366848280483,36.79784571474197,37.41105511573397,34.11862298161242,35.023918880485546,40.36797504577387,38.23280985929959,34.347249377369764,38.21887478069508,41.732664891914396,39.28325478092115,36.21330112435257,31.731743318716664,35.01965482234752,31.0070373539789,29.283699251576813,25.36598409110874,25.375184837236333,21.18432440049355,22.15007472561159,25.38189263773901,28.884655364891472,30.48270205198884,30.859250447529025,28.546620002361223,32.006052866280406,28.879637080546903,25.635630462880425,28.924203981249544,28.790033391442396,28.627137131185346,25.30766018057278,23.18008851609981,23.539354344923915,22.60982499949078,18.320337879856833,19.044561260812962,19.31876088928923,20.52972202386658,22.022799980271927,22.882044676347423],[6.15929874254024,9.134942577688625,14.078348183138987,14.398455953669911,20.047667384168626,16.999040386638967,20.732825566188087,22.876633648166756,22.542613029430317,26.208729124916207,28.046299724619097,29.09866298773917,31.260564646363015,30.190582185803365,34.458649646456685,35.99752432906963,35.79073964680427,40.39409403438324,43.42915346102051,45.547638575006495,49.22239177057142,52.75214674237836,53.79666648100036,53.14038825612607,49.71631014525753,46.01919201871962,43.7638170350296,39.90751220957597,40.024349902547286,38.579847434291906,41.63262277823884,39.88997832239831,42.707316858143706,47.12882095186241,45.34553779057008,44.53852381495628,42.7607045721941,44.69476437065944,44.57752926180322,49.83646712419883,47.239524224815874,48.68681615053495,53.03324652150679,52.47879882913256,53.125045790212624,51.58559157141448,55.78904521990331,55.955265777444744,51.406021045163186,55.36693585140673,58.55481367284091,58.99154704140021,60.235242187265754,54.157247736094746,56.44055345838519,60.55475509299898,58.59119692967856,55.10215568607073,58.893037922755404,61.933594455827716,58.28317684244167,58.82796890568534,56.619581375181,59.188230318178384,57.054122189245064,52.98858240764182,50.6618032734135,47.0693002259111,45.00053544403944,42.08133693544565,41.72217504689581,43.91278495084774,45.31366858392892,49.19983030984796,47.638384013743135,53.59241876341845,52.59005363195459,54.523944340985075,53.58995929656115,54.89436594198952,52.14348926018948,53.2847320623421,50.38595961289052,49.423610406594506,47.07353561782699,45.613314441122,48.38919571285183,47.972747596809114,48.803922975515725,50.71620464197607,48.86320189649185,51.56512778707931,47.66530561633612,44.85106137104568,40.303669023472935,40.02015176342684,35.92661556659705,37.6421038468998,34.47283740420389,33.854118929518286,37.593667574440964,35.29074511766863,38.9607887273667,36.10714835229563,39.79793616126828,34.90587963004438,36.31944984065551,35.61468274783246,31.097293548291766,31.082394992388863,26.91681282312689,29.32876714781543,26.360979681638845,28.826219776409946,30.106376362900402,31.388712279005784,35.058543741768645,36.413934404393586,40.7308614372084,38.185732267292245,35.53579637355319,32.176425752392355,30.57693462146451,27.915815268667817,24.753394865485664,26.850831010059952,23.488336670691908,27.809156503874583,29.441797282736033,34.12948687348686,33.46862035133863,37.097041000356555,39.25956826458821,39.72386302109267,37.12093219211701,33.99003210487016,31.340319349106075,31.689746787521504,31.384954462802508,34.43879774873771,37.27154165878777,41.90935683524395,40.956086702619594,38.19756576754969,40.86518034556134,38.678652074011964,35.71034801572174,33.74414189278911,32.15465631933042,28.506618537000193,27.93825403894408,26.206628405611394,28.891997985547107,26.297865822138828,29.364707064006357,31.432669615730266,31.37668776497815,31.791844711356198,34.27120769552043,33.80339392348268,35.476876675586645,39.0501324200159,38.51982718556141,42.59802396258233,42.78761578298948,41.20972666165478,42.03511590302508,43.7117121968113,40.350090649983386,37.6467706258739,37.49871758306342,36.67489403267834,39.61089310348196,40.515570084903814,41.102027973167026,40.8964024363865,39.82981074498422,44.25039174437554,44.91451131721165,45.10958683898411,44.74102742430338,39.586213285488746,43.99269082073575,46.676679718186904,44.71624722686809,48.49594622308412,48.00757324115514,52.20673935243875,49.76715186135772,51.16166859363681,50.823418220832075,48.164455128796504,46.34508285192755,43.42855830663826,42.71415226908461,41.670057523825236,36.76689929124048,36.505965231530126,32.69353929824079,31.17864995151486,31.315937436020977,29.218956738707302,26.824584210677035,26.491327254941652,26.815078263020258,22.83244155653064,21.137169287106634,22.771875213617175,22.315105531189623,17.112403392546593,17.38912373456346,18.170515192764633,14.839020341764439,12.528570608093256,15.204284920169238,17.532826064155614,19.987053676098654,23.90708438716784,24.178705681359407,25.554931908368406,30.850368128064606,31.650549912354574,36.0302853931245,37.42540171770309,36.64591535636022,39.44258080352553,37.91589410714595,42.476271877530856,40.8745059714399,36.10726690086862,39.671316922657894,43.080397471612955,39.29004132937452,38.12918302214741,42.13726097416025,41.94191749466948,37.53484684259708,38.379330971838876,33.93100074760303,36.532068410781754,38.15420979161634,35.43088653294524,37.24261024415368,37.87550168178259,36.29281318788845,33.27437419642173,32.48644622115547,32.56836537685674,29.355427462942984,27.13982429116556,26.97661653335732,24.63132198600421,22.02678320320524,25.166234550125694,23.941719459893292,19.141445102303123,20.924975571709933,24.449423976548477,24.968974274139125,28.801312205741137,29.671734430864177,33.40987443202065,30.517631262554925,26.673386595394902,31.602518656657658,32.209986205941256,28.973049290515515,30.034122117070112,35.31490486739544,33.301521932355215,29.572947257072915,33.48913320274563,36.93154014004284,34.67118098766938,31.74757326754773,27.419425251586325,30.94957813223087,27.259354496786994,25.113610856568837,21.34263901560067,20.84036488463472,16.72840611590872,18.420784065018633,21.52618281817362,25.098426528199276,26.580140700326258,26.45173732905099,24.45524188496905,27.838330110136166,25.19752138000802,21.45776512902856,24.660747200602238,24.19941725136526,24.513367128383802,21.318271234495437,18.583321704504407,19.16793086247781,19.069049870094755,14.236512155629478,14.346949055665144,15.106524042391776,16.56749944641234,18.149703907398088,19.191020208044225],[9.312952318685511,11.454762145957488,16.138057052807536,15.867876061293504,21.838780877584078,20.014133518220508,23.684072334616292,26.425396429834016,26.03390258917913,29.260573849343846,31.322395192786153,32.816953603136156,34.4638855475722,33.04391105737772,37.60900031636571,39.22294339402409,38.54235990577275,43.07690699193546,45.658298818206404,47.95361698750407,51.41929921431638,54.965223590635375,55.746090196032924,54.831174629410015,51.5120404926566,47.869148587423076,45.8191165889064,42.15677740892959,42.718598512471765,41.672482291568095,44.85869400402706,43.41965162372061,46.435208570237776,50.69836047141417,48.75304561475933,47.61136471162328,45.99949148102103,47.41306677085758,47.018497444782284,52.27838080689525,49.278021984072964,50.88271632078526,55.226831108636475,54.37446356203956,54.66926487915563,52.91052599847743,57.03465989036005,57.59768020002612,53.08239168041329,56.75390590516288,60.231660876539394,60.83357794209364,62.24623274932589,56.28598907491588,58.81709058157993,62.974897476951206,60.83809682228171,57.59809938638389,61.599269583164826,64.35583452076906,60.730971403003224,61.54692340797996,59.52078783578604,61.7925347856108,59.49303922127245,55.589410767389985,53.08615383826176,49.73216025805301,47.36662734442026,44.718308786237664,44.060837346567425,46.188205555804075,47.94055683681846,51.70984669365628,50.514860785440455,56.59801990041803,55.54311092950033,57.76494746816244,56.749499783745755,57.89691065153468,55.268319474707944,56.20937351137805,53.506315852633556,52.29115600097602,49.68475563912517,48.51656205348072,51.21258986363175,51.19669707200486,51.805455117035955,54.10791902014047,52.10767160411878,54.85184854789513,51.03099917474707,48.4082475821626,43.77635379196077,43.56210867498769,39.35655445593042,41.413155028789454,38.34408782524809,38.10111170274043,41.490390603202364,39.264057408924955,42.59765425923516,39.67432542797116,42.95093575133976,37.96272565609736,39.31413131569765,38.1753516703186,33.624037477905965,34.08821558502082,29.81870919012439,32.0954951601829,29.270625900134817,31.23430288023593,32.60826363435483,33.38132152284837,37.134109060541554,37.98133007288481,42.485729124169254,40.40750405406588,37.52659282874905,34.33995279106395,32.20675362082702,29.807476838994717,26.974068914554472,28.766975668208154,25.933916037426016,30.02301948712788,31.650291350976516,36.51562612947071,35.239997623653046,39.036453990139094,40.97727986434234,41.9805119037802,38.90120337361657,35.885614468742226,32.62780143166472,33.0128740184506,32.56436536099466,35.94689124112801,38.28019897296588,43.03589105807877,42.534648991498514,39.95071456113308,42.86610098371615,41.10000983537759,38.0173121015694,36.498847892719866,35.10813272261325,31.74231834847628,31.48896581067366,30.157869471597042,33.11609830662688,30.849762800230124,33.75108053010092,35.60264883581222,35.215632573116,35.530494581386876,37.73911015503535,36.98002002441155,38.06689436179287,41.71798383560106,40.563637692116004,44.86782378430379,44.588859696977465,42.47989470638018,43.294202775482844,44.51905756715068,41.08394501937203,38.51161963919247,38.721363833339545,38.2051932653424,41.58614808124495,42.87810188127839,43.80970678843441,43.96195193429396,43.0330326328827,47.6121826586409,47.87775471173178,48.07758392902727,47.22269608252356,42.24540377332721,46.30893910654965,48.74533127899479,46.67643935767551,50.53241514696107,50.10224310805683,54.03604114674769,51.167234987109524,52.5768102781185,52.035518733434465,49.644507467172645,47.63644941928568,44.753799540888444,44.08101873340709,42.872269713264636,38.00365170222376,37.94255549786456,34.00507711257214,33.114420830221654,33.10423554532539,31.600229100000323,29.075990481280755,28.038715102683504,28.72242708501331,25.153070615426834,22.446793013575945,24.078716357770944,24.520425771560774,19.13868799413909,18.566219532356403,19.604283177454086,17.173480225112193,13.880757243157854,15.56007221296492,17.52036551857874,20.3924268606184,23.308604428802838,24.456997249489874,26.060199076847493,31.258012805242082,32.30658972418842,36.57454763364779,38.543427965218854,37.9746967487035,41.07691440474298,39.895120177700555,44.189258774181596,42.15121940042117,37.47269645618505,41.29189346626198,44.221716176760815,40.15303677668022,39.27593813470381,43.3012146594143,42.49091480039558,37.99961564045162,39.31751013361047,35.04938405778623,38.399553519623765,40.0666568995204,37.54429502728255,39.815889528302684,40.638960960985855,39.37100602116015,35.978078029317935,35.24473137921829,35.837082208472,32.597082189656255,29.954081281098976,30.156123263569977,28.10877223734403,25.0470303714178,27.888407645807607,27.038381477671688,22.37433497890514,23.297189240023435,26.66938216804764,26.840914540950266,30.8432876604751,31.90297923871648,35.2859427259345,31.97701590276357,28.183077572055673,33.13067099298136,33.174280162852924,29.738900527819,30.95285304113912,35.998143991786684,33.361868815399504,29.668820440776916,33.84137005328882,36.94167612145056,34.15010021001559,31.214156492099747,26.828492329897905,29.678477904340514,25.67563529928297,23.75307761048981,20.24821990463969,20.80079756340917,17.208882141059966,17.70826005878311,21.14071959435405,24.344163920510397,26.427837401259513,26.9672361307729,25.618874032373974,29.45360234784495,27.079223196448766,23.71754118424263,27.61970664934874,27.33541886185958,28.156763412753126,24.539767113852587,21.738901340196726,23.00149569269772,22.92569063071199,17.680662599242435,17.996807505513225,19.342930683828165,20.812513685636233,22.253362475834926,23.08178728903904],[9.4885718012602,11.81385084014229,16.338082541561118,17.49770498757202,23.012093708197163,21.6284011205282,25.635793684874955,28.14302599812145,28.421108581384413,31.949388680225628,34.14305326404436,35.26433306369321,36.97889395128576,36.0325064661195,40.51988376613309,41.884329407112844,41.30354981344176,45.95331493497015,48.71494642279712,50.71496242501675,54.29935655704023,57.65795736711102,58.62150871812092,57.67781229888733,54.24043041959122,50.74770540975193,48.449358953900706,44.82098374058836,45.30925126798171,44.04961764023816,47.595804612023294,45.7010759373607,48.74981085040287,53.11878296137755,51.05938284162981,50.08264860690985,48.11084277754107,49.699891682847586,49.22348551018044,54.18243194472854,51.4607816214672,53.35763833759542,57.612583684338965,56.687442571426494,57.09431003653851,55.16610995101062,59.278530666276694,59.81549712821471,55.09649815829717,58.59475801223233,62.07866202283139,62.52574538329615,64.10459006962789,58.17972130862319,60.493188160542495,64.848244790112,62.96626258430707,59.69370671387094,63.6289808668216,66.54250362932414,63.17111870360008,64.07513744909369,62.10441515404754,64.58961721778758,62.21310986955883,58.23177478190317,56.08190230199984,52.67581101332247,50.59350695465142,47.956655499179455,47.47886830526467,49.778367915310646,51.314508731886455,55.00744363556377,53.55192627971141,59.566342181869125,58.2766616425289,60.366254788358596,59.169456451406866,60.16247931043116,57.278084787170926,58.06832555968289,55.0806180710623,53.75491274803414,51.357687681157785,50.35975673672352,53.37197967735641,53.21497477261924,54.24464983379615,56.49820818159885,54.780776421900846,57.69781787925891,53.87983753838111,51.11386769181502,46.51867497365806,46.447389751910954,42.29253982672315,43.859192441363255,40.593492641890805,39.86522689626731,43.32959391128921,40.54105376758946,44.088101389606706,40.68087616893404,43.72885809085086,38.6686150365524,39.50462818586469,38.26678247196919,33.702247727384346,34.422503337708825,30.477901399988994,33.33466882761,30.98904219970412,33.226692811238564,35.11309021749694,36.00945004419166,39.91416357613691,40.8508362324643,45.60472605955348,43.457990578865456,40.73115511814134,37.45227844852968,35.270536129048274,32.621145504427616,29.530798042301928,30.79288185686299,27.30194470520636,31.241683235641034,32.386708297181265,37.16587522752204,35.5884176740437,39.08054897198963,41.38195001662243,42.494205977650594,39.738907997189045,37.10001369557506,33.63880945190761,34.67454528346832,34.6915559499564,38.09797415471439,40.79143067267409,45.525639819529914,45.12380520728253,42.359985687205985,45.14141514315423,43.41389054890091,40.30962551182417,38.62244033829051,36.87241305879854,33.6076682616585,32.794385880439634,31.722465527344774,34.14841556563599,32.05555789570524,35.334417151193094,37.10104400714849,37.01073546536739,36.90449281771632,39.513712095856576,38.294133667677194,39.64436916335086,43.62022306702735,42.52973607585436,46.700157049966684,46.19491904081743,44.23244840432817,44.59239426879423,45.842752440900654,42.18090381843622,39.93908157810192,39.95587182174897,39.78342249216288,43.0069747818951,44.25975666455671,45.275051728179236,45.250249941847585,44.70604261495459,48.964398249533005,49.322067859991186,49.21903666296249,48.441002305995326,43.20729807023511,47.05533233268017,49.47056879510171,47.67545634919145,51.876762524005315,51.803199781267125,55.58986728709703,52.92900295118115,53.98596800155922,53.21747684724108,50.733403891172564,48.42151035324037,45.36181782559238,44.38603250031753,42.82276504181389,38.04337247810517,37.56365630536309,33.40706092543708,32.649407344451554,31.96027334003998,30.619054933921632,28.55156114961447,26.97708457456272,27.16425913975045,24.054273919338858,21.59636798988216,22.345993992697352,22.55657914443791,17.83543582952868,16.739134035858612,17.08599102245067,15.253132344026577,12.28358863357581,12.749690057934176,15.113006956470592,17.107836284375086,20.688642110657668,21.911843305884712,23.01133352929352,28.199853376202988,28.870762386333546,33.40592415803696,35.495223584650404,35.31575975586333,38.588516961393985,37.83832387235173,42.057698285813785,39.77392376022041,35.54697503622037,39.56266634823808,42.27622933449607,38.30552012251895,37.81734376758238,41.98484531474442,40.95478316136903,36.56049655534332,38.53155427389509,33.970228635946235,37.5506608511395,38.854091624995405,36.009634193392195,38.407349333865106,38.87461254485158,38.12369224114803,34.7557233569164,33.43802001748748,34.32280782867876,31.527537658010008,28.416171847417758,28.366896476423516,26.594587280104477,23.4301903238947,25.580475717487904,24.747706280709938,20.390239912974113,20.67236387311849,23.703953230689734,23.985134852255033,28.12208678445999,29.653627175435748,32.76591821253526,29.083734877015615,25.83992786768633,30.91010802205131,30.55773726455927,27.187106816919965,29.020802947120238,33.67393623225485,30.810835753842174,27.653536065862713,32.10720477442484,34.730239074428226,31.88484626049186,29.327495050389885,25.26898681979445,27.877359492954636,24.23736470565729,21.59853740668991,18.88866241104965,19.36171006704378,16.451161527349527,17.34563906274085,20.705613361093498,23.67230410712937,25.947418801015335,26.05147602989777,25.510227758470187,29.291432220784674,27.62907406271011,23.814635237446055,27.508103957381536,26.703839966583608,28.074179492888668,24.850158116154407,21.315328946354253,22.616732003533574,23.640263211858887,18.182533517982716,17.439449362601362,18.90113139967013,20.33004284304136,21.544399480639512,22.278743939102622],[8.818342921448137,9.836602455804819,13.724288210444719,14.510980813455985,19.924133784516677,19.608187630855024,23.5485122174463,26.53040555504159,27.076178555729246,30.269197048068197,32.82519427453891,34.20141553374664,35.269296613290734,34.36012023337617,39.07183176911892,40.27393402759772,39.26905868775326,43.91075234003592,46.41111211543859,48.3069545095717,51.79355290168733,55.01892326835993,55.91490494229256,54.7879979191285,51.35598888325947,48.01593356754808,45.70560256265047,42.26184764584424,43.06629301644383,42.06792092671072,46.01580069418372,44.158163224462484,47.49791099484856,51.69516777592513,49.34964090988395,48.10336643414796,46.11411966238537,47.27687905129577,46.53784708439954,51.36061918436706,48.46697578319398,50.59825158280567,54.78729058507985,53.63352775248162,53.88517761588069,51.77719819629733,55.83385276882382,56.56203736242813,51.80455138795119,55.086519427519235,58.71564405753552,59.22086247282581,60.939933490295175,55.118621157091525,57.53994602116893,61.96619189151426,60.050500196543624,56.960652615586696,61.02984756765703,63.76981431677026,60.54584067989965,61.7269607369925,59.971164961691684,62.32051726867082,59.753271745860225,55.87160830833581,53.848703969846284,50.63321235674117,48.56486840028047,46.22705746732168,45.67544024512111,48.15586990263574,49.73529215183733,53.17592250003662,51.82459802587851,57.89202276869445,56.32406074743946,58.62789968276073,57.20914202113962,57.94543444995365,55.07473793719871,55.615776711993284,52.74410666498477,51.17362530742891,48.61564928490906,47.91661696373659,50.963105274611664,51.134663312629854,52.149954247285095,54.80204312898832,53.130067943357645,56.26399303126604,52.5805249752824,49.95919988207113,45.29320971934972,45.52974240432652,41.27195641885187,42.817677928058814,39.562402398637815,39.17755379014654,42.05922531763268,39.21767384557016,42.344551362225815,38.814184332009404,41.407450866429095,36.30045178036591,37.14293245174909,35.55897327577182,31.016393027688178,32.09420425253597,28.068637416156438,30.781892188747804,28.685342404029203,30.567552105037446,32.74548588682129,33.32404699191336,37.34495306030866,38.0053496590426,43.029936912296336,41.181065727040206,38.44247971019681,35.24318952734858,32.66935014447601,30.03387659044377,27.058664710260512,27.83577979299651,24.603159878444306,28.287896042341604,29.394471655482068,34.25522843767124,32.29976280894793,35.92255098238613,38.01391598760417,39.45928579558109,36.39610242789624,33.86879285316009,30.07348064143425,31.217327106602795,31.308442832470305,34.8600772979187,37.447459093957896,42.19591854212159,42.07829946569879,39.342526499634225,42.19763739878628,40.80067430433998,37.624648925662484,36.235894661566604,34.54856624138666,31.626235982061395,31.018006688402025,30.520698193224902,33.23475235559413,31.861280793124315,34.87231462135989,36.16530343580352,35.68229109131114,35.31695721661689,37.69011499557571,36.06765935256647,36.93848234473341,41.03466553715446,39.51283905418495,43.76856610503161,42.90672480376965,40.7020356759282,40.969017778303,42.01878465666471,38.31730748949236,36.18103276396661,36.33190318120988,36.374122036236635,39.809422368395644,41.31134816788506,42.5998029546327,42.86030573280478,42.52987514518066,46.85463569232345,46.83893851931642,46.7023098049507,45.53634554289553,40.455424782356985,44.02222660335411,46.25792684254441,44.40151904940092,48.66277420948006,48.69170957480617,52.26788255465197,49.42721119046152,50.41962426350445,49.5297705574198,47.180705809932725,44.77059888327056,41.743197818802464,40.818964007162236,39.236959100187725,34.48024236994455,34.21246785726207,30.08428968578621,29.684226447625218,29.196366547438817,28.252036846231547,25.89863948995014,24.067133262577354,24.816190668367188,21.832218523597007,18.529836364871567,19.764459837275894,20.933471681922313,15.71006699208703,14.323253786813378,15.542837312584036,14.165259265083208,10.194479560376003,10.92463651703324,12.474330657240886,15.71940158402646,17.88670882901441,19.38196093915155,21.163799814584472,26.223841243641385,27.610319765833463,31.597010063639665,33.88502350532493,33.3887768411809,36.67982537963544,35.80223518071089,39.84048437513303,37.48522457960101,32.96576438115441,36.97830736918734,39.52825625851046,35.353128509202364,34.77267193982267,38.85232121569139,37.64704033076705,33.17618889178361,35.050183461596355,30.73261333999628,34.64654125287453,36.15408859807531,33.69145416900968,36.38153292581745,37.32114386938594,36.506421962165376,32.77052905041674,31.99152708031658,33.21459263700205,30.071778950732966,26.891526859345962,27.551553734510374,25.976924808356518,22.375976825486738,24.858096070951778,24.640153222571463,20.28444637761961,20.15796731780049,23.409110462442104,23.032584670899066,27.040585450848887,28.158595092361207,31.169431914692385,27.63246680965413,23.859005935422363,28.740458874064128,28.381998835424408,24.862211938769594,26.226211614769678,31.026250211001248,28.09807239044074,24.526774819140204,28.868757190167376,31.68933119898804,28.736871125242345,25.903409768925517,21.63504187684329,24.29347843113724,20.427760268692584,18.251911325655122,15.055064166674523,15.882667682501369,12.987542566906086,13.255936037603826,16.696383944388252,19.619244322644136,21.990296657414156,22.49906857844366,22.05008264384904,26.062658010215344,24.486184458117098,21.080899125192882,25.350403578484155,24.960118100033156,26.64223130429401,22.90507805971759,19.657045467849585,21.7395119111791,22.390285893169278,16.686953595613165,16.681857161232287,19.001654158379612,20.598497843808772,21.95509879607459,22.756528785935412],[4.942024120902188,6.089658827984779,10.559532613639464,11.328433924406749,16.870877015520744,15.696162026522684,19.685505391616946,22.4782569544854,22.990255409186123,26.357676303076005,28.83975491441278,30.06995006998669,31.321417931163765,30.55251306999003,35.14833160768305,36.323951827604276,35.53551342446742,40.220626397631534,42.96845213952195,44.80081535375398,48.409398382859926,51.663533981405514,52.70054746918798,51.74904324339595,48.254241243906236,44.838765748115854,42.428566346264965,38.84112704779643,39.39860979864832,38.21344985648362,42.074456644932596,40.12011176746874,43.386631513551315,47.641290486123886,45.374295032819305,44.26555648266862,42.2433337063912,43.663009144121474,43.10540511640855,48.02081839909725,45.30870062652717,47.28081173264707,51.504931760025464,50.56201091622853,51.03056776860101,49.11321178262858,53.2454932564552,53.69934515378573,48.9532059350411,52.5053932168241,55.9373505270514,56.37433662031983,57.93496366581597,52.003802527672946,54.328529281986455,58.68618962088821,56.81312684475149,53.562679748382024,57.52621834086119,60.411162272972234,57.10650086880297,58.109665263125,56.23726431322595,58.72710649590519,56.26453855886173,52.2903437729492,50.3183535506429,46.96555120641338,45.03875161337429,42.55372887872497,42.15791231288392,44.68774874121504,46.077335012993835,49.57903679223752,48.04312980136377,54.06099909760188,52.534285912932745,54.71193551879543,53.3562164471621,54.20625699989487,51.31385040930383,52.00531468828534,49.0850957785848,47.687757370018396,45.2180584274836,44.29503180689432,47.327504579814885,47.30640717044473,48.36559290311448,50.83374266131576,49.19699612713548,52.30768910376078,48.589442571788396,45.896049653696494,41.25442205290479,41.48283807497838,37.258634202304926,38.68182822642321,35.400097105930946,34.96899824880529,37.93416358227269,35.169184729481366,38.397522464220614,35.01364304221155,37.91674394024705,32.853813852792875,33.92879494523384,32.64284414234625,28.079937136060067,28.77178238254345,24.63871250325517,27.281029441126282,24.954602290777984,27.089707331286476,29.141762539210358,30.01449779028439,33.98927632159126,34.97002218836709,39.86385455464793,37.72585185321067,35.10272293200196,31.791920485521153,29.53156908085576,26.734337324992065,23.556995301705346,24.631510274076554,21.169179447961486,25.10992919240407,26.39761087332864,31.22814251371014,29.796752922186613,33.4560736306473,35.58230337756778,36.61568971480485,33.7436417911402,30.98096618809184,27.659185128470117,28.576796101430308,28.64607097449468,31.989178047943906,34.874578127123705,39.57092615736985,39.11031628318978,36.27536487270456,39.01085861816561,37.32874686952796,34.208130861992586,32.575689796478805,30.839796093905857,27.726742048883413,27.088963969518286,26.382679299587593,29.148336342707662,27.711907137286644,30.66635460722262,32.00097061349064,31.56511812832908,31.319427069221465,33.736473891147114,32.36185114233346,33.509140960250896,37.503604173565904,36.354042076386186,40.521699298970304,40.03764064220897,38.158814259459255,38.57995313432654,39.97498942803765,36.38540929622238,34.0149195918098,33.95529037749566,33.65837365117113,36.85357339639142,38.11678408493042,39.16894933534426,39.26806302961449,38.75625851272266,43.0996208832296,43.28227209684847,43.231832444882585,42.34044897181312,37.195854478094525,41.08530069581046,43.51206344051723,41.624255716405436,45.742372475959435,45.62414988098297,49.44271353497028,46.83464894005632,47.92952515417229,47.26263274536393,44.734234585650285,42.56015772760587,39.554276359123946,38.70941629326801,37.38712851061095,32.5303940126222,32.28556005554995,28.31299208905254,27.374412159232463,27.312702722237887,25.856804722128164,23.337742876917016,22.255618748967628,23.006292019625786,19.436074064233935,16.683422558892765,18.431661845227335,19.09310028145078,13.468758594049056,13.025349144319097,14.513168352530602,12.079890034789155,8.41590360636319,10.944708940519005,12.62498360558972,16.054298674877337,18.775045090774842,19.404666251350783,21.29990415576462,26.472900089866712,27.900000653828446,31.815978036181868,33.59064919272832,32.70107289367386,35.68398260472519,34.31413573346117,38.60302537905712,36.69468843793113,31.838310699128044,35.580542025698094,38.61951436799147,34.593393686416604,33.586145719917454,37.6063028871067,36.996394608106485,32.52530315680295,33.706383187720085,29.3498873198588,32.614870244607765,34.27681396885557,31.815135082915393,34.15280063692243,35.170019392681226,33.89043331710309,30.33591522518428,29.834444757639726,30.622081766442697,27.22628252596842,24.503109993296746,25.129205163849505,23.247664821247625,19.873299210062733,22.980448035394136,22.589626935649417,17.940614552835573,18.65262300746226,22.26545013150969,22.014272448155435,25.85113198808839,26.557136672727594,29.991551370248917,26.95844893073118,22.780240408161433,27.6212433299037,27.924778434440505,24.50664838882585,25.406063658504177,30.645261838906187,28.35955539163695,24.44746370202057,28.43983301232447,31.819533240674073,29.361334494671013,26.333663961917324,21.93429898605364,25.376516263304854,21.641229609061345,19.6379612448074,15.73574295306854,15.530543611948072,11.647228177533103,12.951637867353762,16.15510122357536,19.602353609732337,21.32324687950271,21.448424158475408,20.04893498523058,23.80395676578921,21.70481281679143,18.13514534884002,22.14548029097841,21.8901077452076,23.10418363852483,19.34226351925393,16.37705363124617,18.212299289332922,18.420358288261554,12.813498262638925,13.24193297039797,15.487566478399966,17.18472482003459,18.761702592365914,19.773089482149068],[7.468705830993075,8.173264018599802,12.28951683912916,11.39619052735696,17.39557618917321,16.3295058247549,19.94951581511082,23.124669872575883,23.040234450358337,26.000623340271638,28.44604223452061,30.126038160776616,31.158485258273124,29.875705658916797,34.63999389729658,36.04549190023478,35.010995513973306,39.57912609850757,42.01808553454373,44.149558052734456,47.58649540755507,50.993547169252736,51.787944472012676,50.75728162238251,47.39396035155247,43.88291511285063,41.746229850140665,38.20716486551166,38.9897763992227,38.118661616740276,41.73406940890658,40.245374407182396,43.543182528997235,47.6627057361309,45.43566000567779,44.08442263512149,42.40530444402604,43.50086041484406,42.90401291799768,48.04644895929251,44.9672759627696,46.7730895099716,51.06421857941618,50.061216808906366,50.30487370636373,48.42862175476995,52.53626511236686,53.16992195880848,48.59449149711607,52.15706434768514,55.69874784211869,56.313513274339535,57.815180504474355,51.90888097658839,54.491279435832375,58.71192750582646,56.5809438581386,53.451223533696144,57.54178682096082,60.20173293448263,56.716835057056706,57.752858440514785,55.903699143578514,58.12287580045189,55.658596475277804,51.803798409973034,49.49137275442949,46.26580568369862,44.00568959145091,41.60718004048978,40.96041842579842,43.33382770694148,45.02181351215697,48.54540220084762,47.345411032834654,53.46260046604175,52.10343729399202,54.48233521882793,53.24069637945656,54.154675366357516,51.50285034276411,52.23999344662154,49.60795236171406,48.20762180822239,45.48851369357094,44.544088603563836,47.299388249446686,47.5285444335449,48.182702246484595,50.82069781297899,48.91292091588718,51.89951150414831,48.20361238812536,45.6849033846164,40.988551036791186,41.11890588129437,36.81905537791071,38.74741802378665,35.65732307272669,35.71537682565247,38.52670306151527,36.232510722699914,39.18370090602852,36.16388894163505,39.08745604433741,34.073926846665046,35.50415879574951,34.143543026317616,29.62209091882577,30.28875178516335,25.913451597061652,28.019223486658806,25.368415213770326,27.076573060958506,28.735845362283342,29.30880231185266,33.194082269974615,33.902488104503384,38.67773722582997,36.77270856473953,33.9344928868272,30.760097417019836,28.325263514278877,25.8340975047279,23.00423388392017,24.40281430182922,21.734496590360827,25.668301534372333,27.32945067331061,32.254599041120926,30.81929237608268,34.74345211049688,36.49784916636073,37.659209422905484,34.36769160039007,31.375070700649456,27.97851112802246,28.385348126550213,28.01543824047055,31.47302041006232,33.861789835392564,38.62578245885284,38.270915653581625,35.649373380299814,38.587741502060744,37.040058508603906,33.89581418495312,32.57152344189242,31.20374288632941,28.120013481599713,28.045316872895935,27.249626223918757,30.491926031305834,28.977111950428228,31.59619092993227,32.95210847688363,32.19210412943603,32.25504569382468,34.25969373586527,33.15711235931311,33.87831634571363,37.6337310340752,36.19535863970214,40.54890295290264,40.05595725304719,37.84849443846326,38.61389329085757,39.793970399647485,36.355762248125714,33.79419282789873,34.03833931202326,33.603201415011505,37.092709766968696,38.53436353164879,39.64966516405495,40.015259833785535,39.25587393051839,43.88899019327838,43.861293663245455,44.042410972525225,42.915218615002175,38.05245640858095,41.95526850529566,44.291000838291296,42.16329899796935,46.03916800994864,45.67443419109608,49.49355264930721,46.55767489095789,47.92326254292786,47.34281947404148,45.00049439930415,42.98155888613894,40.1341794141552,39.535539120751245,38.41069422743941,33.535419481013236,33.683523485442706,29.857707974799126,29.094100728060205,29.447332265015326,28.129558335589838,25.28618028743061,24.32377122497982,25.529910775810265,21.89377189023502,18.6467065431883,20.934113988833868,22.0448725503556,16.16061409643789,15.729458404618203,17.609573547784912,15.260077620033975,11.351025050714648,13.862303102543581,15.113693655828754,19.01231675347019,20.895864553824673,21.901832429440613,24.11336556363271,29.176484132268076,30.857022677007627,34.58096861524593,36.5116828587923,35.51066330753853,38.489857606167746,37.013938237841025,41.21119753160134,39.29268444398404,34.24891399709284,37.93365498875592,40.8891452031281,36.71902328954182,35.59176728062146,39.49158369749311,38.76641794155118,34.23242511229816,35.1673230725802,31.135997839220543,34.51691230594989,36.42414690028231,34.272748004894765,36.670735000073826,37.95750071622782,36.47334311855541,32.81943014618925,32.69439073443748,33.448312312809975,29.816607371357637,27.294746779260887,28.14431656977897,26.20013563605806,22.843652749779444,26.170304576990787,25.83492990732366,21.136870902147162,21.95156376533449,25.59837975038285,25.229963810695928,29.011836628324374,29.537673077862685,32.95508870312779,29.993844316739676,25.618076153796792,30.322334273993814,30.61823186238875,27.12915935179991,27.71852761571162,33.023602213871364,30.616991800178656,26.45465974288139,30.33342101103513,33.817731087458355,31.165282755506485,27.930179203632754,23.35276045627588,26.557566402639505,22.46423123296332,21.070266625631742,16.882346004062615,17.303994097456123,13.366851869526304,13.649687979883382,16.992400901377085,20.3540479000752,22.207810284181097,22.97220114607288,21.2966988096096,25.220745968326508,22.711089606600268,19.729097430574566,24.06747233313397,24.242392713071244,25.189787308822407,21.081801793264148,18.719999973992156,20.636506284223625,20.031502435971465,14.634087705841532,15.866223958545854,18.003316464950466,19.64036948659718,21.26574552833754,22.2281416793065],[6.932384541021769,7.887646780604586,12.069638850307829,10.467968798470357,16.50458885988601,14.059610759012307,17.43885332785244,20.3552953736446,19.738647452623237,22.803104774989666,24.97386610135572,26.63489015125868,28.02677722350146,26.60337939835739,31.229452432578793,32.79579307225855,32.049347529279544,36.5950148747493,39.24510379886448,41.492367627758796,45.00297078043679,48.55518802469717,49.40412549441848,48.590314282959376,45.23444877983825,41.5534257834103,39.45755918616509,35.73269461676979,36.23200206284712,35.21784012162044,38.44280132377717,37.078565644709485,40.19394477667891,44.36833843434609,42.35911714035496,41.140198973851405,39.61009931042906,40.97844507306816,40.65749721938631,46.03188603862232,43.04659849922343,44.511096624014066,48.879798175259225,48.153902164529974,48.57227393350518,46.984111504877205,51.15683568203245,51.521776165024654,47.07161710392795,50.96866684815781,54.29427936450524,54.896530959988276,56.158002165062925,50.13831053734576,52.69220083722731,56.74045040089847,54.55335672909902,51.25901922429461,55.240416127356426,58.00222782156777,54.30461248182734,55.06778443243818,53.031365246132566,55.31603345849328,53.0344228605934,49.11012767613803,46.64236849326797,43.264622573647294,40.98691240432855,38.355940784528876,37.78142646177472,40.05674270519728,41.672019319866294,45.369252449734034,44.09905345019102,50.18779438825968,49.06242531446991,51.32317997363967,50.288399071726296,51.44644512163679,48.888037164092545,49.892755117265196,47.31416503780924,46.18665324251603,43.512337738006416,42.21831816393026,44.80087714423189,44.82501769335191,45.329909161883045,47.700865217278945,45.680485112666446,48.495186359900536,44.72204505676682,42.159004355751804,37.48875916068279,37.43564318165025,33.16986931364115,35.2443933821843,32.22718405591717,32.36540445487804,35.40778237509192,33.47508485221485,36.53823640791439,33.924350426191275,37.32649087163401,32.446235024886505,34.26158786000324,33.30268441454633,28.838582340531588,28.964986842295456,24.4680270793363,26.246349248748537,23.107202366339823,24.993598273090264,26.1572051855355,27.030780339634898,30.739623060295102,31.768781118610285,36.205427269584746,33.989100284719825,31.181858027024685,27.932704447874727,25.94739443298909,23.454521481682697,20.567210369103854,22.679041276326238,20.129705790492178,24.35064050133086,26.36097923450111,31.187792471852813,30.426895212809853,34.3959767024829,36.07901073184649,36.76325097980802,33.62370807747977,30.289339641360474,27.51826997191376,27.413975871736127,26.787992383423997,29.971464734735147,32.449738235142995,37.14321126548654,36.37106903264165,33.756599016987714,36.6169312516389,34.71177169905345,31.665666013226108,30.123252969453926,28.88104583734601,25.487372370124312,25.606061587255954,24.2948521453378,27.72300412111186,25.820795871899872,28.275353957598064,29.87232380403182,29.146899950139105,29.61445501067406,31.528682634365467,31.00357774556789,31.985170269355613,35.436917324653336,34.42929441279747,38.71387621908177,38.742192637536675,36.82413748854144,37.923928076919914,39.41034452705722,36.196011598330635,33.318697446308015,33.43559248310854,32.52231645494744,35.78500277578347,36.95939718798866,37.749464257028286,37.9656969134051,36.816947403306386,41.56276981085469,41.77920612757976,42.17001330546569,41.36196525945452,36.54769481865594,40.849528201593074,43.379313279083,41.153854865772914,44.729421645044035,44.06899750963045,48.18823065711828,45.42223572764279,47.021452777412016,46.74529251070069,44.27551789419593,42.602735471499464,39.85660745267839,39.423507161108176,38.640239120061224,33.71493194775587,33.96655540168053,30.387298918399246,29.094307596023757,29.92511407570857,28.09179511141936,25.11921567345667,24.99239973552865,26.160829950146834,22.036822308164968,19.478899746574168,22.14370572777426,22.668857854705653,16.741557360923704,17.171629928591226,19.04369327654567,15.886354703504312,12.71170141880436,16.15229662426422,17.56627102528574,21.289010272106367,23.686280132078235,24.101117574422368,26.26540663664418,31.36741259827674,32.94844529761067,36.68543235006351,38.18367737057451,36.92197270711116,39.61048196288728,37.72300526190943,42.12513587885506,40.623542237021894,35.3622243010042,38.7563192323927,42.13170939277852,38.13502326122499,36.63985233699078,40.434253993327495,40.243100300505155,35.75367304452958,36.0242208841448,32.05127305733289,34.742357892667684,36.79559927391036,34.66690358403207,36.64699071332589,37.946280614675146,35.984932499458715,32.627322879997415,32.73625413008646,32.95541003498911,29.153252866319416,27.214582109483157,27.880665095121255,25.599550510983377,22.689413783713274,26.47671742573475,25.83164262717079,20.980502422470586,22.655947529960283,26.467922282831058,26.354076974798055,29.95201337317852,30.179109157034883,33.93661919650569,31.408569524796995,26.857290444272095,31.465456576177793,32.2985168301223,28.950094087139345,29.20196229828301,34.77932187116864,32.88286517488713,28.544768715482043,32.09699135682133,35.97186277793234,33.69689999802156,30.360661747002172,25.75278075578832,29.42024268863871,25.43200267459989,24.18085117433105,19.664912350569715,19.41858688867981,14.934850227660426,15.862764400995413,18.881605016303983,22.518893204619612,23.822531077333966,24.333493126381153,21.755498283075784,25.317581538360507,22.162208626321696,19.23535390988309,23.116013711670803,23.472090438580096,23.678950489880496,19.67330081573014,17.892452163734486,19.232861239726166,17.84937793724176,13.021825210018374,14.831794707941317,16.401198216568933,17.97514208853848,19.751692314381742,20.838207141009914],[11.523797651696514,13.012082265874643,17.167468008485205,14.865321107676076,20.885128155192014,18.051624113651815,20.859799080875543,23.669871392291032,22.093758259071894,24.784600470665353,26.463803141789302,28.461121497288914,30.12244660860209,27.98424873726513,32.51176769475588,34.523322520466756,33.84379070273991,38.13886965438645,40.54413959389133,43.267206590112266,46.57613962000988,50.40880566414528,50.971983464781076,50.211170731057976,47.074901758301785,43.18618799485675,41.50915330769681,37.762050479729346,38.28231616588226,37.48069250243048,39.95315900040077,39.21620370733521,42.06767923627314,46.157959799747296,44.48015854083505,43.18697696978941,42.14855082133973,43.42965512315406,43.27682254881917,48.974899603759575,45.69313525236878,46.733477066770924,51.1903408275463,50.57483188064317,50.81174832010007,49.43197483669503,53.567962795895326,54.020974511644326,49.867613389787586,53.88981478838988,57.22162058563567,58.002172054737095,59.07631455463622,53.06657899074495,55.83919602057952,59.62868466562127,57.15464586234676,53.90416350497584,57.9083170328013,60.492741756264515,56.4679507164654,57.03759078429084,54.86808694282582,56.87808312507221,54.77781980715365,50.97181629396968,47.94986365399089,44.62246784659594,41.8880256305645,39.139587137946606,38.2746741489039,40.10556362729978,42.105679460292684,46.030424375547966,45.161901929745895,51.27781110012718,50.64711461549266,52.97545783836233,52.298415123597046,53.74767349603092,51.51845849797325,52.77182685773443,50.491501640590904,49.5570437510683,46.72976786357336,45.195709782791546,47.363739496264174,47.441872262650335,47.418696557920484,49.647346593837625,47.23715163246369,49.6531628499943,45.82775315600587,43.40820993124511,38.78949856599253,38.30348230946494,34.095157029424826,36.87534637731222,34.16801877217586,34.64737792239982,37.94942041309499,36.680775959437256,39.70156607474646,37.650530941360145,41.357014046129876,36.62752429169333,38.76633268475328,37.94673940496405,33.55594800530851,33.46060972642771,28.87547112031124,30.174681457820284,26.599303199633535,28.192463929088667,28.580644398964857,29.299805155913266,32.67419764332127,33.540318086401236,37.469642351491146,35.35955275578767,32.31914308330828,29.282302138145734,27.4845073532206,25.51093544171589,23.129347281834736,25.932093160478367,24.17696720903844,28.40252429099344,30.74341031805455,35.53039317355254,34.96506853829702,39.0640279264562,40.49155488622673,41.12090024205791,37.76890998867535,34.19146523954453,31.573589028831876,30.87464040709501,29.70140569535421,32.830522478366134,34.68154866857948,39.35304625609776,38.51617853857352,36.21697680778205,39.22398735230479,37.26572547375448,34.316466466362925,32.9617077816126,32.15227268170017,28.615515127139517,29.220891350432126,27.373935632833,31.034567714434424,28.467421734542352,30.677104823169074,32.68400132425195,31.907746625301883,32.95774557097995,34.52646287271967,34.651896461752074,35.47818604476826,38.48483186458552,37.46823470439422,41.841421058079575,42.108842201170575,39.98683701882041,41.52840999229508,42.85658597089365,39.872541453350074,36.77984497292546,37.16382045150538,35.99016767924306,39.39643884851222,40.59010473863809,41.24823922979129,41.56258676432804,39.97259498706107,44.94961656861288,45.19690781847342,45.87906025716929,45.08299915460678,40.54101821796829,44.98602901358874,47.50278117123507,45.076482798206634,48.29965995846322,47.28044637981281,51.50228964259666,48.487778815517665,50.438721932753346,50.33970834852773,48.028521436579126,46.5943915605136,44.02150596476612,43.80915344419544,43.21215690978443,38.300780629213996,38.78956431935605,35.31246407602325,34.05359517413508,35.04520369002248,33.177081828140295,30.143287348937974,30.112333690150212,31.31993456802525,27.166993455569322,24.57997240683672,27.25722763194694,27.70756184934662,21.86144213980157,22.185171798871245,23.867218318558788,20.69349107710552,17.597879674873464,20.61058703219743,22.170757070218276,25.715670079116403,28.14069222062262,28.901783454046946,30.973243573417225,36.12125602251176,37.53372078998484,41.464047565324044,43.08620506001197,41.963968891357965,44.70627793738517,42.86322224107491,47.27609066751977,45.73303619362188,40.50168678075972,43.907768119415906,47.24303285460709,43.1935126730221,41.71201556641377,45.46766915868098,45.17696211573674,40.660401304423104,40.88718879615581,37.06592952897894,39.76838148011932,41.897889710388185,39.80926916908944,41.71681013319054,42.957727408066084,40.900439084486806,37.665938227030466,37.73297921064604,37.764454429858304,34.00821843549963,32.21615035889271,32.642231513000084,30.22263234778875,27.54874053652998,31.239398870041573,30.298557030503613,25.420943027927983,27.2806950137256,30.98972394067845,31.121241596047618,34.82102953782333,35.20790232207258,38.97288180703167,36.3132358905974,31.912384550446294,36.580844868144055,37.297591874413044,33.91004982207592,34.273117279726605,39.791280577716265,37.68611941109726,33.38933858409465,37.018655037242475,40.791833967465166,38.29161079553562,34.94143086926273,30.28546102502498,33.58594639010555,29.359919593044733,28.288465705604125,23.914584140416036,24.19246642378045,19.86269955962572,20.194108616536525,23.351519184476505,26.814138805015688,28.33575168806735,29.217707931685386,26.59928981154614,30.189325797805132,26.766212280163806,24.15344310001216,27.93389500218111,28.36122319928508,28.19465147432587,24.309452621246834,22.795144129074657,23.72745604733297,21.986676323258003,17.682605803907613,19.436616029223256,20.342190927050588,21.69670159320077,23.3432136648378,24.255212053719468],[15.045378626995266,16.392896793429372,20.245657929741153,17.260674354821035,23.054905683440303,19.927838024271093,22.149380422784017,24.884967634448902,22.592493163998334,24.833882286072974,26.14375595485239,28.44252159364789,30.150661113786096,27.48479932510266,31.890113432473864,34.20233504034372,33.53588264645235,37.581328928727714,39.775032124202156,42.82931025182324,45.96285812237582,49.985853618157975,50.33950156283423,49.65170885537579,46.69653951829049,42.66950288673481,41.320519231140175,37.58349287166478,38.11035571769077,37.50963171627605,39.40156388532896,39.19404306030486,41.86335814277293,45.81165577554829,44.36681670775879,42.98439753747064,42.362325285877304,43.52587500660384,43.5138431154299,49.44511116404996,45.95856423659327,46.629966671755476,51.130380494263655,50.634278836884654,50.763846135060966,49.60202438826879,53.69760471432782,54.15803333640296,50.27605257257237,54.431197227309994,57.70582079611952,58.61907955291851,59.506076117263646,53.51902836251613,56.453749881420926,59.99634802781365,57.29774826174481,54.08962701934968,58.0895750825393,60.51788011258237,56.245597091362306,56.660304086001474,54.40624810562687,56.1869273930211,54.2354939614338,50.54276272746806,47.12077965036808,43.86081794257452,40.81244393714262,38.017897769168876,36.94714412523775,38.45480239118673,40.71217156782379,44.75321269873571,44.196494006872015,50.299872608423215,50.02498283464533,52.41872749571212,52.006242128250435,53.661794856344,51.72176539142486,53.165465565903226,51.16924971920932,50.40232011704268,47.44997528637166,45.72255872569462,47.522961964325944,47.67321945411988,47.20706291814177,49.355965643064074,46.652013894233846,48.77206107761309,44.95613177197929,42.70114918834153,38.150311052164405,37.397066775714826,33.258781571616716,36.57508875123829,34.1659414035944,35.05271784638324,38.355781851869125,37.691020977528154,40.53417854159527,39.00801706551226,42.9121515181566,38.36519964613411,40.850036584207686,40.1724782725363,35.90116623162614,35.57382223412455,30.918459849741893,31.706287206562543,27.799810265168237,29.103760391613054,28.84712332837804,29.45154964967499,32.49809814696317,33.272773464058645,36.73630038246492,34.70411366472592,31.542480755047016,28.711048276578417,27.133258428764716,25.58404366833726,23.64340947374691,26.967195283373734,25.912983824541254,30.086481959671833,32.7328042944238,37.42487575200589,37.13985281420151,41.34623378824456,42.49917808544166,43.001793367374276,39.49888169966106,35.6953474752258,33.35811748326796,32.10084100566537,30.49574778292323,33.47252618649976,34.866020755769874,39.44103125042633,38.484115452941914,36.44614352307761,39.5151671580007,37.508340166390795,34.67896478520462,33.49347314220151,33.07074062607989,29.499510608483373,30.577916461700593,28.423946112013503,32.351880530717615,29.516816376934962,31.33856889762811,33.502017709645884,32.56343776091463,34.06079565629026,35.24277341330908,35.89721473199594,36.54070066610712,39.124715294293935,38.13967064648854,42.53144184702016,43.05783277327279,40.85656142174867,42.79464194569528,44.07162846484818,41.349344351471174,38.04263344070458,38.589631859657814,37.12436994278575,40.56898660121625,41.73906265154872,42.26261599849884,42.68123715361299,40.72098130245993,45.88274449105892,46.11536176448271,47.06687342060581,46.281054856605465,42.032268537889124,46.60523014720423,49.11628986338148,46.51037805760619,49.36770612940168,48.02006184622917,52.34092985484339,49.18572569168671,51.44518627068707,51.5548339213774,49.35637851372473,48.20453386496894,45.81729491262865,45.83731214950266,45.501637125972884,40.62175816374907,41.3670736312432,38.091212147001286,36.764616104096596,38.097575612758796,36.14692262552886,32.96748180920375,33.2391223053022,34.61133652754287,30.339304796403237,27.77785769387345,30.713575484515307,31.170048014453105,25.287136160306364,25.780712759438515,27.56035872282758,24.26488971209045,21.260500585362955,24.39358120662775,25.871909817078965,29.51085610517043,31.771527719213285,32.55711498584472,34.719340056854165,39.84141232890503,41.306396156008844,45.18896538546371,46.7669657233805,45.54011790098615,48.19694730310152,46.19112544680088,50.61670743301451,49.1967371766439,43.83640305662814,47.115053431606675,50.52721702978335,46.473926896347926,44.83245523465559,48.4747150431562,48.28898021123421,43.77524143480064,43.67021324413334,40.06823749788555,42.58476685986106,44.870540364885436,42.94663694284628,44.726215136826276,46.07660489836967,43.76962075222039,40.62994705387684,40.92649380392597,40.74949236313286,36.881228392053345,35.38775565711483,35.815333929746785,33.27987882321551,30.799737196140466,34.653712159397095,33.619399084416756,28.731674145843908,30.844927307357192,34.57977574194662,34.76181530081564,38.39545851806412,38.64646910537915,42.4912650476438,39.97096172763887,35.47267671344627,40.05525022602656,40.90362612607705,37.52659718222286,37.688152043235235,43.28648026060373,41.25396113789054,36.82463554244447,40.308609602002214,44.21255395594339,41.71708629472125,38.263646409771916,33.55277202043238,36.81300714067644,32.47962600505465,31.711856454659696,27.216102873208033,27.599784544163402,23.208041338246574,23.29388036082444,26.357059415630527,29.76977795141267,31.193143392740442,32.29875803251129,29.35299615625276,32.84165538378084,29.071411416273794,26.847622649790775,30.521331959086183,31.186806197669515,30.6283489615959,26.750035498505177,25.725816540445223,26.45165547530291,24.140903809555372,20.389488642391385,22.48646349574464,23.0831905445577,24.318536312568337,25.935153271223975,26.782559787140734],[18.159049929980906,19.4112498500821,22.964801685822856,19.571273812138326,24.97790578382322,21.39326587821483,23.008057041644882,25.481656204995033,22.51801986549441,24.351082680697804,25.18788931670798,27.665534909739204,29.525788538785513,26.43225872449669,30.57430765996508,33.16269489673154,32.64404167713681,36.41554278984986,38.50536739670377,41.83136139768036,44.8295003905247,49.02051586999336,49.238647058448954,48.70275558982703,45.913369972425365,41.75343310898489,40.68518010356513,36.93049733101789,37.33550209688625,36.839295552780044,38.08116699734229,38.34789239079318,40.76314037757284,44.58114069904703,43.4237068307714,42.04358491401538,41.80822027911162,42.97982474874944,43.18465156827054,49.3138057118905,45.752484868232585,46.00762628268165,50.52844027932976,50.23760703264447,50.360106576900186,49.481733238778475,53.539963778557095,53.89283215852621,50.28697650890785,54.63312064326422,57.75814576369431,58.755573081935985,59.40797805916957,53.43750454604809,56.45306555628534,59.72854736502767,56.864663631846774,53.64427629393211,57.56877297309313,59.90920670371341,55.39403650752841,55.57583172811996,53.19478730199149,54.817879400205676,53.06952089464733,49.4606442067984,45.69548905130061,42.45196579931121,39.1781441516039,36.27162423155938,35.07754294559815,36.25282354873344,38.66814680484132,42.8488148541188,42.51466415043101,48.54675983177751,48.65208103380242,51.02772584854493,50.907731230486206,52.807110455936524,51.137709946766336,52.81458308561604,51.06571696194054,50.5274814648897,47.53391823090408,45.54838168489816,46.98992342704508,47.10941923555703,46.25282951908241,48.20930843630861,45.253722248120624,47.04925879263341,43.237298635912886,41.11575969749404,36.682826438791025,35.63601101793768,31.629656599009962,35.40245838022657,33.30409915046667,34.53031584514718,37.873669079550496,37.81701644363256,40.52754935362671,39.55883135271117,43.72006606444056,39.41123894907248,42.228831061710835,41.787411706261565,37.67159958007848,37.022328466364215,32.37044954550378,32.682773177548434,28.472609632069,29.59493677497429,28.671956428300653,29.2942345942029,31.946064130726764,32.77018955965104,35.66933400456789,33.593066752556624,30.405156734270818,27.76930037770146,26.607563161884283,25.438121483468585,23.885351559493696,27.73927572274885,27.24157020870409,31.358468543299594,34.26550686708817,38.78241257216465,38.908181986762905,43.14668162877158,44.08508486254917,44.335221388383594,40.827677427200534,36.812279697272615,34.913624959329304,33.13996240074446,31.184146041831426,33.88555341682046,34.9618122775192,39.365022748668174,38.16513596851413,36.35445504380698,39.389148368779246,37.2343294188837,34.58321667323397,33.461339835970016,33.3818848091883,29.754073003383827,31.22309714343518,28.709768183016866,32.804519739324746,29.689578583519303,31.104132788059275,33.437176290058545,32.40883812452893,34.366836688836756,35.203573455344454,36.45112524693511,37.048650633659136,39.17053633948698,38.38948921084109,42.70524887117455,43.604523686841084,41.48706819360915,43.79322933709995,45.13436040658095,42.69537398640755,39.179459584751726,39.78007529661169,37.96984728239873,41.30625142088904,42.345957843717464,42.64659784667208,43.078301794174,40.729034841851586,46.00357046254236,46.315565291849424,47.52690015127693,46.87501760321462,42.89875243916429,47.64949917185834,50.202194522380545,47.46436808471341,49.9314941431284,48.25459796345129,52.72015494897122,49.56228015858044,52.10135329613685,52.46666556422804,50.314560908726264,49.48771003571985,47.28033086929623,47.50887126857883,47.460228511235414,42.62832659267039,43.5602442215802,40.516380804604744,39.00069365209133,40.67504704701814,38.541196510374746,35.273552825721836,35.96246928738111,37.4109484593559,32.982987462036505,30.649461121433994,33.79921612546737,34.10879531764398,28.265251932545613,29.045175792527022,30.871764912485258,27.361273857416926,24.594530835244328,27.971046982034533,29.428547775457265,33.08578100055778,35.372628080732,36.00877195504489,38.21207512018608,43.31946807995669,44.79608286850259,48.63473677975995,50.0535610614368,48.68215732871629,51.18644020664124,48.95835769204166,53.434862843324694,52.2294001587786,46.7393265702754,49.83384608010555,53.41348868748316,49.42579233226118,47.57839260725486,51.097612595922854,51.14994750405648,46.671463977870424,46.15610876689933,42.73055850837966,44.89916026501383,47.31292733469444,45.514274546235306,47.0718821176334,48.4895598795629,45.88771558695749,42.92962526706333,43.445464904091864,42.97487138995235,39.02211575037776,37.90898861110866,38.285816820655576,35.61332430194027,33.41231131395558,37.45199269666363,36.29244407293024,31.423301873507192,33.88324283257263,37.650755589553484,37.92088501229589,41.43842314768086,41.51236173956976,45.4831929101379,43.189314170181426,38.59834729497832,43.07482466882872,44.1571949981307,40.83720796838966,40.77999961320892,46.48539995850044,44.656419158208884,40.107206456359535,43.3972207300507,47.48825458727877,45.1182330276093,41.58049462172211,36.84289350033733,40.213877334102186,35.86688218337139,35.29541939906719,30.64921239469696,30.910141550456498,26.39269645109575,26.51010111316376,29.41596401174678,32.84919797392526,34.05168712976994,35.19851050201591,31.848898224980818,35.1212217125985,31.011464842924205,29.092837542727175,32.491071047096085,33.350179426553396,32.32904847809871,28.578953097098434,28.054478996057554,28.474748903751646,25.63037821915082,22.556225572584157,24.928932494647043,25.15671109544919,26.243196757415646,27.818428178705396,28.613894838652726],[21.685807920579887,22.52250175364336,25.621809808717423,21.545581598623066,26.596301684981245,23.390161842153994,24.403837807474428,27.041810796159442,23.65326916215927,24.71003352972974,25.384309269059212,28.32173071975587,29.722865236624653,26.10077202394826,30.195106677053083,32.97345454856875,32.153591757533206,35.57257169602785,37.17100534496998,40.81073706540701,43.499777279061504,47.80233846051811,47.71068889523851,47.1233260246507,44.57658724046822,40.381704170133766,39.72074858736,36.14840859265142,36.79701611967391,36.73081917477722,37.58208414448096,38.47489626757758,40.863961621459985,44.367310272564055,43.279866823659724,41.61945517957577,41.84255833609244,42.57281879418339,42.751031822349304,49.00524893411918,45.11187956593768,45.10048169280382,49.59864465524053,49.283026320714434,49.159070370617755,48.41261376282473,52.359725835583056,52.8649188377508,49.56911541659377,53.889943595769296,57.03796338922632,58.22599749042406,58.76121520834462,52.92157822637844,56.17508963620323,59.21261718632005,56.084757196944125,53.05781354778034,57.05108417591239,59.08194916465604,54.401519025590275,54.600830970856926,52.28710186899731,53.53069054079646,51.82581385371783,48.44255436211614,44.30402481677351,41.310192573216135,37.66791737331722,34.967867734980146,33.44907324035655,34.33315933029692,37.11651828200006,41.218625119749085,41.364566852855404,47.38517739537553,47.710046022950486,50.30480291079356,50.3314558958009,52.27388039983885,50.949218778028886,52.65167459470346,51.299057350091665,50.77668606642897,47.56851736987275,45.58803982800834,46.6346284248477,47.06053640407461,45.702485338597754,47.83725406709222,44.598489381402096,46.19234143427052,42.519562145427315,40.71733223810367,36.3625774636666,35.24873842719297,31.31068197260067,35.61720569588332,33.88106702885073,35.72162416178906,38.642607574938395,39.14368453935405,41.39182630747093,40.87006398210536,44.90949469380627,40.79383815889802,43.9033996076611,43.409218052204224,39.46139383779738,38.79969674506994,34.10382761394001,33.84657172626202,29.529330252574336,30.097366935394955,28.669979564439675,28.906615969540645,31.208891815264742,31.687489109081152,34.177369607401374,32.46523251505677,29.13837773021835,26.87533511824874,25.68776215399265,25.093429258881446,24.187093744429085,28.21050008361793,28.61055027433441,32.45774748102122,35.60282565607423,40.01339908721876,40.19856443227893,44.5605791620893,45.10148573957371,45.41844079560109,41.614619171007206,37.4797225085248,35.702663816590515,33.40956961345367,31.029870151268803,33.61915598330608,34.04296405390378,38.29949834906352,37.17939464638996,35.72738842590961,38.86331272545732,36.911726609530255,34.37751092855066,33.673811795054775,34.0546704449116,30.67364461375507,32.70262836070979,30.297620476009968,34.71710770031942,31.83700348374046,32.73806165196746,34.88314449851055,33.47371951410543,35.67047902133746,35.966063736936135,37.47530628037933,37.57728458787297,39.29729679569661,38.263287217464864,42.617893157492226,43.554245957740456,41.20138882845906,43.87123576487643,45.00486336665884,42.85880048261906,39.214055340071134,40.07845161566528,38.106172244475246,41.5875470350691,42.75259197443992,43.083320555224795,43.800053975236956,41.22833894390625,46.685850050754745,46.742313113139154,48.199357696605695,47.31888002905483,43.7770362319875,48.441107868280284,50.855523766130865,47.91713187764237,50.01208810938007,48.055065936128166,52.45629635870017,49.03361592633677,51.85871522256124,52.368652237234535,50.446804762816626,49.86532644946031,47.8944295314043,48.3899896390298,48.58923957961942,43.859924789300194,45.14081296989599,42.335039446211084,40.95829506448475,42.995460326651866,41.00165128262509,37.52615643718002,38.34021644733294,40.134108954303585,35.72356805346528,33.10882910640981,36.594601996405544,37.2541001175465,31.27881854591187,32.06795597838736,34.188858857458925,30.781298767632133,27.819763385747763,31.271157037545112,32.439169176669274,36.4414029069012,38.14622885716964,38.910499723778585,41.37208539029845,46.37170982901666,48.1227348913857,51.716845270319105,53.2025104507218,51.65972455491032,54.10838319188844,51.73574339500427,56.106192548405026,54.955756259145254,49.29057821474863,52.26469564453895,55.789195616826866,51.73173094308818,49.73781001837922,53.082882968206505,53.122311332467184,48.66068252872624,47.820312617694576,44.75672530293574,46.908787691311346,49.52885039075588,48.055712845673824,49.640666070464725,51.34090939906417,48.54851037460661,45.516107835019746,46.42430753098623,45.9598682540956,41.80911116330822,40.879821524905644,41.53118239854448,38.8807805583282,36.643941415051714,40.86363720080875,39.86701598552056,35.00555852141637,37.435546508340686,41.26897580247055,41.354534339207554,44.78582440132965,44.63505772592995,48.58709204515207,46.43098835112653,41.628367893164636,45.935899898625784,47.080157363911994,43.737475371717586,43.35978971120175,49.111704030330614,47.30446418833716,42.557147035345196,45.64055650018179,49.85586272244372,47.44933734291818,43.76911732295024,38.98920716706112,42.242873493835596,37.79213418687128,37.691083460156214,32.899792290155744,33.38797764370188,28.928589655488885,28.588994395487568,31.34426144631053,34.61547117237401,35.74062943955548,37.26455865090789,33.717657909593235,36.9511225300043,32.62377405477402,31.28903728205791,34.815911565022866,36.034216498515285,34.87645022362021,30.938714492704126,30.907954735628746,31.502047010627685,28.14836730709555,25.395647706717405,28.21898199856288,28.58382349985657,29.645664449452358,31.215951063854806,31.952574917929528],[22.315874014082112,23.081355442809866,25.828493683067347,21.813728120164566,26.253553084341306,22.206055097790784,22.663388666789952,24.7015351337996,20.807233404559092,21.72992446014656,21.84671554398209,24.659587560201068,26.480319205802036,22.78260122874715,26.457075519878465,29.388857975669055,29.027868860121625,32.31516049386003,34.23778813258551,37.888861939810134,40.67846364188486,45.058715536496415,45.1229080079602,44.848334453141625,42.29569596833444,37.987705206282044,37.31081426205557,33.57782132001442,33.78834694259013,33.49933843569442,33.80724535587742,34.822236542483395,36.90970192100252,40.42761614619875,39.63367394496283,38.21003160365251,38.57512449162057,39.68056586662585,40.20490117404444,46.55378621701524,42.945158115571544,42.566902301628204,47.06942766118551,47.11186693544943,47.28096842514692,46.868976637973304,50.84740594983456,50.96084280209464,47.79484297589083,52.428832240479544,55.25316129358642,56.35012245621092,56.628004938887905,50.7234076348043,53.82218309372964,56.666682847581875,53.59093627583702,50.370686357665626,54.150893655429655,56.3488737636935,51.5215806088743,51.37878067886571,48.85009964457517,50.24769939769686,48.78427049297421,45.31301231333297,41.124295086190514,37.92996288861425,34.3991996905087,31.378391108450543,30.04387581287555,30.806879286070075,33.37865658076949,37.69019147394401,37.648084377397225,43.55329671858909,44.13305781112629,46.50532009078801,46.76262139905626,48.964667368765085,47.717585399812876,49.702278007906514,48.374875613182404,48.17293616854208,45.13272111622363,42.791104701669795,43.66153403848854,43.78308905472548,42.336355483485306,44.072189180731414,40.77905316895327,42.157472980051026,38.41318534753802,36.55322757311894,32.314211681660474,30.957866139987072,27.15770815643406,31.589631733032153,30.036913977367313,31.970640461236442,35.04871279564884,35.98888482594808,38.27798463053944,38.23059631893638,42.64330543959738,38.81018599262364,42.16491553125123,42.08489389339784,38.33263218500916,37.19066949775308,32.63973245472569,32.08000262745791,27.522385826117027,28.250393977932113,26.280827185859035,26.92404106116357,28.872661640812698,29.825475272289562,31.799601679597824,29.634089629834943,26.50363453742886,24.2178940616033,23.810927974478112,23.253243089609533,22.393666066947592,26.936662083980515,27.411643441274354,31.261813746746203,34.5379565489114,38.6497477115057,39.47725244319702,43.70252789727391,44.235802801075856,44.047775290842594,40.58825710052414,36.296169259912936,35.222872291559305,32.636919094014054,30.200916738751765,32.33223439016575,32.99165805396455,37.01218001972136,35.37415920794047,33.91707011456774,36.80820011080726,34.44533595699915,32.13551289233952,31.157589656985156,31.66097945071327,28.115243231159134,30.275541821666483,27.42772303806042,31.81714963620401,28.684647068654865,29.226194435032603,31.544245181102237,30.216937588303274,32.81665579577714,32.970535842277876,35.091480243831796,35.51819708125288,36.84860363410358,36.41197747866038,40.51600405708455,42.02156386872287,40.14235077109924,42.995931789155485,44.49737950026508,42.568375938064484,38.75732825068988,39.37463987359607,37.002894402181546,40.059856244201015,40.861169424153935,40.80774065812938,41.29798368237306,38.382351777426535,43.78473382247808,44.14673200169564,45.76686942006309,45.300367809671684,41.85717345584094,46.81291824155477,49.3967421828984,46.47579253681407,48.267714948453865,46.08643787390842,50.746288260729855,47.67842244270277,50.62013584453984,51.416716041114526,49.330848219789694,49.06948760010021,47.19125499389425,47.77210946090274,48.24269031831272,43.56817244046983,44.82595864546764,42.27346447520032,40.453152006182066,42.781846419256446,40.406814357755984,36.98263771698337,38.42353254969358,40.09077406677851,35.47658802215597,33.50851751133174,37.091915947616215,37.297621562284114,31.55421425985355,32.85366733591778,34.90937374528692,31.141878475834115,28.72982912017991,32.622759429276186,33.87400069679548,37.715635086216714,39.81870751379174,40.082949415384014,42.46687681487271,47.449178085837055,49.1155239498646,52.670762469946496,53.75523631335943,52.00091042643075,54.16107065755065,51.47216869774177,55.96044773612253,55.19801615796017,49.444789505924945,52.1249821415629,55.986546237170515,52.15622870240486,49.89075751663144,53.116344703689904,53.659616464591835,49.30083076999491,47.95051262340524,44.923365437770954,46.411711306625826,49.068121497634166,47.61246712242565,48.791334788974744,50.4566832134889,47.315237473740915,44.63199123980444,45.710956786083585,44.81084501515758,40.65139201247758,40.244717903818845,40.74795392493294,37.94317282731271,36.14941904783441,40.572078277998315,39.4122196864104,34.65562265078768,37.58508797460089,41.43863309569841,41.67377776765132,44.86882873851025,44.46530054659836,48.60884304046596,46.85619658402035,42.00225619514292,46.14806016605835,47.71777259291539,44.5416829578594,43.93283753660369,49.82003953648545,48.48161308777198,43.67280079436461,46.47990896634198,50.96667911511213,48.941395309185886,45.23941595320631,40.50230297650661,44.18662117144447,39.919822019368574,39.74602752504909,34.766371149955496,34.671848785235746,29.978755933074545,30.216568514850895,32.71115583052479,36.167734818391466,36.841053348967144,37.99370434947183,33.91920312045405,36.71111563085178,32.09126050938242,30.837851623681217,33.74990890932483,35.05313553551336,33.32114097804905,29.75134127866119,30.228024899957767,30.33311539542672,26.52551808710469,24.680719210974754,27.672369966857424,27.57668475650846,28.467759585225313,30.00339168726999,30.74058222657952],[26.377033022543984,27.384356999137253,30.465464122804175,26.387778652768965,31.148738614434308,27.566578099678697,28.15086794703419,30.373146951205207,26.485877458584728,27.155339952606383,27.18320596290098,30.121137804856637,31.78441070742681,27.81009697379683,31.33690669712909,34.4001399001566,33.85806890871665,36.81180661521266,38.229566239573856,42.16922405934734,44.614906908460114,49.08036531729706,48.79087198287078,48.40618721928858,46.140224344845514,41.85102478385088,41.58472157982739,38.072567342483644,38.53127596449273,38.55979160607312,38.49727413692075,39.966614993821814,41.918875155853016,45.21755285161664,44.57673124595561,42.997581541496736,43.69174890908756,44.47495061320255,44.93169980318113,51.32507290838119,47.408678948110314,46.87980528884486,51.334625820374136,51.281315385743056,51.13373539761508,50.736367398772444,54.57914167069143,54.97072343526995,52.05277390212211,56.533397045599514,59.48577300045553,60.762739714257776,61.0147567601457,55.25847117282161,58.564903059552734,61.25273475651394,57.95404425757062,54.94087782923836,58.786487559427314,60.69517132370232,55.745208110565265,55.61453942825093,53.14144270343506,54.153300648907035,52.76692485812474,49.54661168279694,44.984098394819256,42.06699794240598,38.167893741371415,35.35714562260277,33.68726221668881,33.976251512187964,36.9619000932233,41.20761965385783,41.69311901911149,47.48656584329482,48.39013064141749,50.89182195839092,51.345702540129395,53.610322136969494,52.640482117831965,54.63271688726634,53.566717329346666,53.33307757530819,50.1442688196661,47.8712827294364,48.47814780803348,48.816410739621034,46.99859611038559,48.78623753768905,45.259247502370435,46.32710599853115,42.70847397202756,41.107769125679766,37.04389135474119,35.48132134162367,31.890383067486905,36.66736643025794,35.36402298635719,37.44304080702541,40.49253415361315,41.64033752123709,43.806292963059995,43.8739518224953,48.183841072925276,44.34546689227699,47.694701829383405,47.45652516209241,43.66016063198237,42.69862262602964,38.09057759054042,37.49528193314958,32.99094537260463,33.44140363435038,31.371731985763756,31.64494845876535,33.403281960213555,33.915182381704355,35.58678731893121,33.88340613878441,30.634472210742686,28.736920735382846,28.125255312315765,27.99752505727564,27.50808406336742,31.8967163330654,32.67820560391154,36.43535771362231,39.72623697168775,43.92767442839813,44.47860795591184,48.80813550914402,49.19983381182502,49.26650109762789,45.53699795445152,41.272825307854745,39.90437512079268,37.224589229807414,34.57555002887597,36.830794640181196,36.8785029552991,40.840513124578095,39.482567850362784,38.34148805888707,41.36880055700983,39.275777614280386,37.011814693235486,36.36211563905938,37.06605733527355,33.66436901549892,35.94179019594117,33.145611453825104,37.518255006175174,34.24340155364014,34.79097315619054,37.18526324086232,35.827171483838,38.484230756943006,38.48386036212495,40.6181062194294,40.75512829897947,41.956952638644026,41.19838491721211,45.38551164777904,46.71591823877488,44.48268031879985,47.477733657236605,48.644623886948466,46.78808894103612,43.00762376897985,43.9146039266405,41.65436865864639,44.965205222173935,45.963722348893576,46.03448880128099,46.70930270651656,43.74744467067175,49.21881261552066,49.420369579036134,51.129227645830646,50.448399116189165,47.19311146085717,52.00236133126291,54.44948488729652,51.42342516426658,53.10390703416306,50.8158630630208,55.325259634753436,51.93454366978628,55.02737102589406,55.792511049566386,53.938716999096,53.67306053894708,51.88045411756658,52.54474538831578,52.970377159805565,48.30980137945648,49.693078711823325,47.049168601422146,45.51011878017178,47.71940765504991,45.550645324744174,42.090477049536204,43.178803777545234,44.917241245703735,40.40954002737765,38.04898806154613,41.5518391478312,41.9796064015197,36.111506192524395,37.04936042534227,39.0583090686406,35.486639902371174,32.74925674552102,36.23602975370211,37.520952533629384,41.37871509909185,43.299209839940126,44.00218405099948,46.38592391524461,51.421896292974814,53.04950859415387,56.738969526459265,58.11871821437715,56.55824824839245,58.918883495718305,56.43524903827416,60.868367072363554,59.860763867740765,54.168167250989406,57.03079489883888,60.681824823571986,56.69037616204328,54.59109956413235,57.86702398056859,58.066772393452425,53.63671405066096,52.566675838397785,49.59410091655211,51.4740242312555,54.13913549978746,52.68535227856513,54.06174613183599,55.70740366623011,52.72465215180089,49.91210715512874,50.85220139819602,50.11201274839564,46.00221902666554,45.34275491811922,45.80607788027201,43.034884870446675,41.08119768185771,45.326701981799204,44.1212371918439,39.2990647014327,41.99879852115192,45.796604108612975,46.063480980491576,49.45924242963309,49.2922738306497,53.336845866842424,51.271926084810566,46.51363618496366,50.807017127156584,52.07073993350586,48.76857757715877,48.364731631022856,54.15432742067193,52.43593273723402,47.68257245787108,50.70115329602514,54.98048480373606,52.61882865717503,48.927334006620406,44.14916277222307,47.40452736279739,42.942784925430786,42.87306404890505,38.086127657341635,38.53184745049899,34.02510731483726,33.749632769901375,36.45791759770246,39.72270944099218,40.761888621479876,42.27448687521906,38.53536931321625,41.59486486197635,37.09048321954608,35.88235201377754,39.09950077077137,40.34609719401334,38.82162911040241,35.137913801336644,35.345214952309604,35.58121599383941,32.02237813290465,29.788240954206444,32.560225728695734,32.50076477970621,33.4016502988453,34.866612419170565,35.502189032229964],[22.635610648714906,24.124621569606894,27.76340093890999,24.37089928921139,29.655024438696227,25.860898881222845,27.180259760802347,29.370400486237283,25.976668715149774,27.512472416586252,27.833715395080066,30.339558864855988,32.4519077076081,29.007122474220502,32.748795042050006,35.60812928202718,35.28879826652121,38.70977906677919,40.61927030818348,44.239506163027634,47.03106335265727,51.38219530198704,51.40086033904378,50.98721180260721,48.4313802310322,44.17563700592893,43.452483224093015,39.74247327056162,40.04456167113353,39.646889030633794,40.14726080632388,40.89626207204887,42.95640293698546,46.63823867998039,45.85066721497251,44.52184675419954,44.6737398586068,45.86832051632332,46.27220449958198,52.545728896408704,48.899706737195224,48.76021874179478,53.269474017168676,53.14827953784616,53.19561080717002,52.55642556308481,56.53533674978969,56.86848832831146,53.5543948957813,58.000786407192656,61.03005141976044,62.126821611658485,62.57864857221543,56.66715096228826,59.76408483934594,62.779745045766674,59.74981106294846,56.55394256278203,60.39365929438351,62.61780695469779,57.86717602747463,57.80244678740014,55.291479202482336,56.70362941421923,55.19885604571585,51.72421913795867,47.567500811108744,44.39095784060757,40.84924383661026,37.85085062317922,36.48925778595379,37.161986539762346,39.80334241895253,44.12776781802412,44.10745629931871,49.987562687095,50.584382613397054,52.903023391979865,53.139489074535966,55.30731494551195,53.92449392889907,55.83122158093413,54.308049707312726,53.980722782159276,50.97255866778653,48.768375860901365,49.8628986825639,49.9308722888145,48.68711758532058,50.3760158353101,47.15887624346805,48.51418970545292,44.722594791516016,42.75167287176181,38.53345530328968,37.079502809516676,33.33319481958848,37.53649699649319,35.773070521429155,37.15581097063136,40.689928849934205,41.13523312671137,43.828277969543784,43.2991748939147,47.684422248425435,43.5519738068232,46.53560380480002,46.2566757689422,42.2188775646233,41.380917044882864,36.77111166089623,36.852510561610956,32.48017523268189,33.48463211952188,32.053975753070006,32.64624431447809,34.9030840631723,35.67875001095799,37.97510997408215,35.95634179434537,32.760678455723976,30.413769442447524,29.613273074491502,28.85423370572483,27.666677291868595,31.816625706314912,31.652166651897854,35.71877191705241,38.74332939849989,43.15073087809472,43.47676671330757,47.721482019835136,48.54797374010696,48.672977771725144,45.16080233063446,41.041798144520456,39.35177185796205,37.27846273059342,35.06668483036493,37.58867149224435,38.27808778121725,42.50842905713761,41.19136121655037,39.64468761758872,42.65495004209156,40.42335645745321,37.95188707257116,36.90677498852984,37.09029191344779,33.424911957078436,35.08898574091248,32.23150589688944,36.27722263021712,32.73082678958999,33.931698562054244,36.54246684513388,35.58791340644803,37.92677320318659,38.55386283860224,40.285939183385935,40.887861928318024,42.631156208811674,41.993752619726,46.23456378918953,47.384718030697314,45.265203150199504,47.83630095355554,49.13122148442184,46.88679735472866,43.26960021368067,43.96851304365139,41.97442485771939,45.262681871393504,46.22319512669132,46.355920868340235,46.774048349112206,44.11722718345957,49.43133647670382,49.84929215983041,51.255249768446205,50.72217717471649,46.95066840675415,51.80394639497401,54.369455173834325,51.545981932385416,53.72192488454299,51.78828103121388,56.32488466106677,53.110740466951896,55.87433309811517,56.40464799890843,54.336613768683684,53.713001739462925,51.63025605400079,51.983193237964464,52.06444026630945,47.26590102540235,48.28069323993558,45.305264931143945,43.73256165186439,45.46640690008995,43.24165030166505,39.99823245730729,40.78490240557728,42.171108282545106,37.70456491616007,35.485728299738426,38.58142734475413,38.73160602765012,32.977015570783045,33.75527101563886,35.42925781852641,31.857809839128038,29.213196969876826,32.44122306305727,34.028612744346596,37.511277775172594,39.970065578959336,40.695241403115276,42.792402700647045,47.94568164554904,49.26531000919689,53.25426150846476,54.67662021145835,53.388097799532446,55.894222592082315,53.669993742369904,58.190503051185004,57.00917400927206,51.54939323716495,54.63040337505564,58.24589980920959,54.268701202891236,52.41452171251938,55.91697189937219,55.984275341842256,51.50536587811161,50.94200819980071,47.56098380723264,49.64295936744048,52.06927843388444,50.242781911450365,51.69104090742592,53.0143366914691,50.33934066216926,47.529703144031046,47.97208556027957,47.324734381134185,43.45327018264694,42.46063502865228,42.62872961672227,39.86804349969049,37.86696463004036,41.83106945751614,40.458643465789194,35.62037264198517,38.22645092782705,41.91792037181812,42.37749352771561,45.93435401187883,46.10727392039258,50.11409825676599,47.773838329535,43.29580301628643,47.82112410066591,48.88536529824937,45.566245997877296,45.59938881307215,51.28553049910101,49.39572555248859,44.89598926357952,48.2276682000115,52.27687855811556,49.83363158349239,46.313001298235044,41.57188584134048,44.804428702444945,40.39249275207232,39.83179856081125,35.2861033159622,35.68105804630178,31.20059528882715,31.22432122563042,34.172052925006554,37.545552327295326,38.811741176785915,40.03520792502888,36.65669105082084,39.8807808240513,35.673138338044815,33.82569892357333,37.05098279372776,37.87853522445846,36.62732052512644,33.072446933213634,32.62551938338246,32.76041727262246,29.860604362731678,27.102019368031517,29.316430540770096,29.16762487760556,30.111110248212444,31.572169604910293,32.254105800804155],[23.328089912723105,24.62851306322793,28.23514169271542,24.59455951347692,30.044014846657774,26.96444174354875,28.386080869917006,31.01532877469536,27.81254614811752,29.136906766491588,29.783175329175567,32.5537158916305,34.18147562156285,30.62614131881813,34.64899821666141,37.45163561688969,36.711916511257925,40.11838913878362,41.67024067550893,45.35225325319867,47.98925065931865,52.30563355755312,52.13849460740748,51.49712120389387,49.01003591904016,44.836276098419326,44.230395912161505,40.690646544486675,41.36074115524608,41.253394474924214,42.03837617954576,42.894550040733996,45.18943735036494,48.75248379174617,47.75023623272096,46.15401462107022,46.3462945053365,47.13014319619627,47.28448129354597,53.51589879542181,49.586849717153605,49.62325864079723,54.11433093180205,53.74027674056637,53.52438864725498,52.69991048784159,56.61653525173213,57.250072830792185,53.94376282729381,58.15986465392905,61.406450080268364,62.612931786274466,63.20799147178178,57.38907686223742,60.66012609468797,63.73363870178639,60.59455951986693,57.59562454747225,61.605170370912596,63.61820290727139,58.93526616976782,59.128664558524115,56.80070896678428,57.99865224369205,56.32510532626873,52.97573056965369,48.76920066393828,45.80420606503443,42.0997642923835,39.390086684529855,37.82272688064856,38.537236266949,41.40724428712223,45.54676701749793,45.77774420712536,51.75107916234726,52.19504623700868,54.750244201978,54.843536695146476,56.82333931981334,55.48680099536774,57.196674939198175,55.7840656531909,55.236617956599616,52.04323584111547,50.0972653200877,51.19085901782749,51.57765661144181,50.24580632042911,52.29703833120974,49.04026986410394,50.52303095419678,46.82832485883695,44.999600478506196,40.701531225882256,39.439604429244454,35.586178345715616,39.871787035315464,38.096156466660275,39.673796841677664,42.88448351444258,43.223192013044475,45.68734923572332,44.991597646915515,49.05326110015868,44.81365043381986,47.736614166513625,47.156214091959455,43.07304388534713,42.55504766234623,37.85417906730464,37.914464701432685,33.68638983446518,34.3884021954474,33.14984592944515,33.363803825021975,35.73085217027,36.10722826862638,38.62089894294418,37.00109471635837,33.65474049929605,31.43070536476283,30.144186376909197,29.53008328514947,28.522532272122064,32.36582418038399,32.46527727607928,36.39710719272349,39.40322819750394,43.94047443221499,43.869085453697004,48.22708205821271,48.9104935725111,49.390377709420406,45.5632724989536,41.52880327109453,39.44440990166579,37.40401483965149,35.1178727866458,37.869429823533025,38.22229070638885,42.53160287634454,41.57577323735059,40.13939797806132,43.323210586212475,41.4326002187671,38.85825880600724,38.13113506938593,38.389308913289895,34.940458403867076,36.728773602881546,34.24653254354165,38.45776730938044,35.26580397944448,36.476726964407774,38.83883745408729,37.65146343012058,39.78642800032287,40.29781186819945,41.69550518587173,41.898153280812274,43.762141974507685,42.65100363072084,47.05242582348922,47.834950613854886,45.34595142352316,47.89734054682671,48.887360211751584,46.60791459643994,43.07864332879909,44.01083640361616,42.23166981215648,45.821761455122136,47.05954905544659,47.460925566916984,48.13464481286004,45.64624432363603,51.05732577642415,51.164196475353066,52.53941830256663,51.64355562819314,47.9679590837744,52.578105852593,54.97387394286687,52.080372788326095,54.32975466788739,52.46442433409411,56.79558289437003,53.278836903786214,56.04175327741378,56.42675576458769,54.545266842024205,53.79328378984366,51.73656603643841,52.12326615965249,52.11556313888148,47.339952625366365,48.49299301379262,45.46070517997316,44.237391954233104,45.92217328749996,44.01927147304945,40.66981543734097,41.098777363185874,42.710059223612966,38.41127051496197,35.670605012185774,38.82657108565252,39.438213586289194,33.50867746829464,33.95896830725283,35.80850559206611,32.553013155935304,29.479737140030707,32.43988760688149,33.8180165311359,37.55037742218707,39.46111549461238,40.54930302231869,42.809293590988496,47.8961612388177,49.40344413987307,53.2774326664446,54.98515606183367,53.75027467641167,56.40945741507255,54.33158886318607,58.71140094175001,57.30359345560998,51.83992630624545,55.048604997175545,58.40828320187302,54.26806764148837,52.53470407480739,56.03137238049979,55.76957575518368,51.24970701333206,50.88780068060664,47.63980289255768,50.135853746438976,52.6149276360411,50.92666447751397,52.65552557500099,54.13643623036181,51.618313488322244,48.541410413402446,49.05841010831478,48.722595752433115,44.76715092605757,43.5120163303522,43.93141381991283,41.30677676809743,38.98522995228831,42.893534589126574,41.74542437609684,36.866411335118656,39.094933973523396,42.795937413918544,43.04051825208119,46.6884259184373,46.907153297128914,50.76108412823757,48.237661521641854,43.703680041258266,48.23141072693644,49.04634027268781,45.62499630063708,45.65899757385622,51.25460490404047,49.08709265910085,44.561386818512986,47.963802763148365,51.87631980121595,49.190502609882614,45.6421538833926,40.88681352528495,43.78700022578299,39.250834659179375,38.9259754838751,34.47420137432947,35.317503532713346,31.050374864268996,30.539384129335794,33.55874027894818,36.72537529831906,38.232205795885676,39.818602645133026,36.72414389447036,40.187826047194214,36.11604300547307,34.45902475412906,38.11563105213035,39.04587463672528,38.13145048996899,34.26175569423475,33.70910497481016,34.26841558905707,31.445119724437518,28.257157738971127,30.568900895417112,30.83500542656694,31.881703559649996,33.360974774286994,34.0277698383739],[18.38537534055664,20.06807995263684,24.15843434012025,21.337412871034193,27.21468712429483,24.201741795943043,26.40773064155373,29.074195936159555,26.609980096002033,28.730730588142457,29.810866263254816,32.152148491306356,33.99690240865395,31.091349241312546,35.35919738198843,37.842047190022306,37.212932637606436,41.088224335149185,43.0975011845315,46.362121977240825,49.34646610416425,53.47039498312291,53.64667296275786,52.94142959699574,50.13595288228961,46.064918866309014,44.94398970961037,41.263096926550695,41.83423975400917,41.33667135007715,42.87446371236964,42.936214666075266,45.44189047941341,49.33763334572799,48.06930289607812,46.67349378336135,46.25301160116176,47.361800655654356,47.38785249188975,53.396594946510504,49.77104750131081,50.29813040057559,54.80340643742251,54.30808447573224,54.29607149234596,53.17559524005437,57.21427761781476,57.794730851173455,54.05034343019762,58.166377633426684,61.494013023821,62.49394157452061,63.34169999833559,57.40318782624072,60.43224392866703,63.88039553220967,61.06282211979203,57.915900457457994,61.928128940606946,64.24727719416616,59.858200804916834,60.20411210688086,57.910856969484,59.52328223502684,57.66328660994441,54.06765529167816,50.38538702707286,47.20204447787122,43.9276842108999,41.124691251379495,39.88713405332698,41.08962284397032,43.57154316364078,47.69071838768444,47.38455495143308,53.44623855294613,53.43763893501667,55.84818168561563,55.613862653999895,57.38798267422351,55.595581150808236,57.1193983439766,55.23364420563994,54.51448189840444,51.51407738051894,49.740212822700514,51.38178253456502,51.56107461342098,50.880553888065634,52.94473252301084,50.076042860940376,51.961579562960324,48.14647332628511,45.975793937221766,41.51336228968672,40.51932303728204,36.49349820206755,40.08246098310885,37.82227127818064,38.732029412127524,42.20943813855997,41.724271832364465,44.609598153585075,43.20843378143938,47.17481701628113,42.64361162043983,45.11794359341241,44.42074358660574,40.128336111690956,39.8378393934951,35.19059766449989,35.97372529779805,32.03583982108993,33.247989959862615,32.80409604594575,33.28975808977717,36.182635572505575,36.7950814262304,40.01619894531762,38.131620549103104,34.88739454069821,32.23446894414739,30.68950879569303,29.405100914757742,27.690084748499032,31.072193125974728,30.175587847657326,34.3158897404083,36.964549016490885,41.67732550656427,41.2909348410899,45.51913434311683,46.64153208533911,47.23682844343364,43.64501322481972,39.846894726070744,37.395126852218226,36.078511447002825,34.33607583088853,37.34715732381592,38.411007956470634,42.956756700579554,42.08827759574034,40.22010078960484,43.35436539906193,41.40420107818957,38.61952825742898,37.5413916380578,37.23864768444798,33.6569875962122,34.78525459865174,32.47617684029413,36.330780473302184,33.179070454214674,35.026299420715425,37.396252745378185,36.53812825981859,38.18623710368527,39.317191178862714,40.12376711089749,40.718044304827444,43.18625575608367,42.12914828887171,46.55338602068299,47.060780237608924,44.70418927553747,46.73214307526895,47.84459896021288,45.1559295264914,41.86427613281667,42.556485459517866,41.125049787831884,44.671836799359085,45.89971368281098,46.42721652402609,46.88011054737129,44.82186616110309,50.01949375527401,50.261151517008685,51.27564898075632,50.460005870164665,46.281309725378186,50.829969671705385,53.29967876874195,50.65054912779013,53.443096760258214,52.01380721713751,56.300475616709406,52.99222403397499,55.34681650392038,55.44864938220553,53.35565626499922,52.201831272871836,49.8486371896617,49.89286229373059,49.50657522698477,44.63666572410621,45.397355266953,42.04352822471586,40.85022442993717,42.02292206420963,40.1522200476932,37.039082707514396,37.0862096536042,38.374487729595614,34.20469822499117,31.538075192885977,34.26186382519778,34.70641804384429,28.908102516238653,29.1328614659481,30.6964107699499,27.55523303102196,24.49462534699393,27.153346288278268,28.768163875439406,32.180486323330754,34.51617412711816,35.617960724966686,37.63140469522707,42.78831034631556,44.07033377809493,48.15046010206747,49.91507295170385,48.92044861847079,51.72027799082297,49.91605852378968,54.324314375028855,52.730833318833284,47.51256538535511,50.92696487377321,54.20185655840396,50.08484090660845,48.61118906825423,52.31076886643314,51.89873071906059,47.358168838021165,47.523482856757965,43.89540607703662,46.62938488865194,48.85510868260793,46.84245588787661,48.69600750853832,49.9107555008139,47.75066606120254,44.618573876996635,44.68600848175154,44.550601228260355,40.825324242991016,39.177303202426444,39.41904540159699,36.8904060480781,34.42123048109376,38.027324895595896,36.844966898187494,31.983413987818874,33.968861261840075,37.566136933512844,37.89484431041614,41.67449481725964,42.19331574383042,45.952793641779145,43.17186152835668,38.89554519564222,43.60258135839372,44.19923346456024,40.77102182344664,41.20754648627979,46.66455161243821,44.34473486260143,40.07773586828924,43.758433433247376,47.429073640407076,44.69280504902603,41.3280744349733,36.64656228558006,39.542083668724864,35.11237407694719,34.282840671386595,30.08502979743399,30.852060739885978,26.68163452742569,26.477534913721573,29.6972827630881,32.94415806076706,34.65606954906676,35.923881621072084,33.27530981792925,36.889494626620326,33.22989881906171,30.961453955494193,34.677479373732474,35.204814639155465,34.71262992503508,30.925265060345513,29.680509971335173,30.308865356864025,28.247377908188223,24.42096545675093,26.167539492379568,26.567391652419126,27.729743890713422,29.22418544417961,29.95724172514687],[18.54783077861536,19.172957496257855,22.400629593017516,18.438854582939705,24.004441583903404,21.926496437117063,23.645214276081322,26.923639448773727,24.42350828810034,25.81073029070176,27.28973018677017,30.19549528763392,31.08741967904895,27.91670906125611,32.545000915889695,34.941543967350256,33.65342621988968,37.4267680692117,38.938028381522294,42.26197686329626,45.03517781729459,49.09715224299002,49.06746490839794,48.1339841947912,45.40431884863576,41.43084442087251,40.47453783855159,37.03175771453796,38.08568004906481,38.082946130802824,39.95098846817952,40.3150846842127,43.18249554560215,46.777954923911864,45.18293970000294,43.33900273230333,43.10305461159628,43.54268703543925,43.27580374599909,49.26134019023153,45.26130723756913,45.90372163401169,50.370124789182725,49.619728925518416,49.33136672237446,48.09202261669529,52.05366707057948,52.89780600131909,49.246897203539426,53.1774561202288,56.666109822855084,57.826834587040544,58.75676866218789,52.95111711266143,56.225644846840645,59.64059701212651,56.64774315909277,53.76580457139492,57.97098789924783,59.973441068914,55.64853403023052,56.31953472486446,54.28765568332755,55.603063999409315,53.519696610472764,50.10379009163913,46.38366703097984,43.497901340848955,40.053241947972445,37.677225953105534,36.202325428077984,37.57513012301005,40.27362676747096,44.07871966820897,44.076688320031394,50.25651003986285,49.98285019840588,52.75565257572608,52.311272967936816,53.818785309640425,52.18178931087131,53.45670940941535,51.87582775089203,50.91812763488525,47.626250956126064,46.144166864043136,47.63871876702672,48.32138940302603,47.396133501159696,50.01858352437567,47.07443193869822,49.17533272683834,45.55186665541601,43.661704851612065,39.09421846964778,38.47561513704531,34.287382428871446,38.08051856864251,35.94938959868307,37.525154262433816,40.17485698693943,39.88818921349375,42.12250902000729,40.832281312982815,44.32955204971729,39.86380630308585,42.55785647114693,41.56446631797882,37.41878296028416,37.36485061135315,32.59701376965442,32.837114641832784,28.973602325403085,29.512168566312432,29.028783607774105,28.97070949336815,31.865850346766962,32.00883152887504,35.40806116775468,34.00681391990365,30.609672670984978,28.15574185936376,26.080689813604103,25.093126380182326,23.840283543364887,27.010074896587312,27.007161912707993,30.80596382242341,33.652172299002125,38.36184062342547,37.77523089950129,42.1963624366998,42.860606407506886,43.73879071317267,39.69062645584901,35.85583771115673,33.26156831784699,31.58063430078256,29.55330582524503,32.668660617258105,33.25497326493496,37.81054466805653,37.24846548395237,35.57432916595799,38.88457502742829,37.353898221538365,34.517384205700154,33.96316895620131,33.99007894601429,30.836112009322733,32.52211833462959,30.807716159052532,35.170717603483766,32.87165851333326,34.225331785662064,35.99838645135174,34.51926131546619,36.037686018265354,36.64593002336355,37.21598601602794,37.067295894981434,39.43373019116681,37.805209860397866,42.378137109514576,42.59420529788438,39.864575152319375,42.08056239750118,42.91744314611773,40.3977583864048,37.05239989042462,38.03312159930904,36.62717318472393,40.47390967846143,42.00246979257474,42.79805849698615,43.688646119411544,41.70043709963161,47.09761285003147,46.83361063366202,47.95999394490842,46.651739042728515,42.85982889291646,47.136964567301156,49.377882144438324,46.538280769487834,49.157027471448764,47.649271259530195,51.7331432303237,48.095069947594354,50.58030570159266,50.6749159862801,48.82758613982761,47.76457742442916,45.6001870995222,45.884516553495175,45.695323691619414,40.925107647465424,42.119535179165894,39.026844938075726,38.138853880518226,39.79467513649427,38.26601685404944,34.79138469743618,34.88818847078343,36.81424780840478,32.71995150963241,29.423775053700066,32.77375744042156,33.99965414979498,27.865011078036726,28.103695432365416,30.366059154979535,27.47469685624323,23.929052707565187,26.927343954882414,27.868274622843046,32.103161715833835,33.230753137039244,34.430445229239545,37.01577286084026,41.939348654613234,43.86865820393165,47.36019185569586,49.22381309993808,47.84706889786541,50.556009632711095,48.51781004835506,52.70743929995608,51.16734046531964,45.62767402717891,48.87882439885317,52.02267979845304,47.77110171359302,46.07752419014309,49.53777507509005,49.07272869395801,44.54247392904094,44.27794153296708,41.146884531174,43.99330898214536,46.52560380260155,45.051954978767895,47.09104904271381,48.861738246259584,46.49788209353331,43.06336051883564,43.83372236664952,43.92485048832888,39.79343154261804,38.28125314748546,39.21669800480399,36.83285147590699,34.064488916483306,38.05518226794941,37.39891925862953,32.52561963795515,34.288638060193605,38.08478226305746,37.87470360427977,41.45630897578761,41.485588777680306,45.17188147352872,42.67580982780218,37.908470308908,42.28596304338744,43.00598802902667,39.53512667393498,39.33728298147513,44.90553688567557,42.69119077983872,38.02449494795517,41.33538153982691,45.26650053746413,42.55341954719184,38.92037435107224,34.148435410656376,37.04260747016405,32.49506250762651,32.4390862269135,27.83149806163965,28.821887394136958,24.68119709118459,23.798826687666768,26.7555466313187,29.834377964821,31.374114961830724,33.17725745183153,30.266009929916496,33.92200358196941,30.060723492710668,28.600410960474154,32.768854751567815,33.89186617240837,33.48390602126704,29.159854475831395,28.575887323568324,29.843810572721836,27.072736053021536,23.331386941208653,26.00130979575403,27.091505974202928,28.383500829364028,30.013371904215496,30.797251168006444],[19.272879640202408,20.437545461163726,24.254231264813725,21.211284972321224,27.1718740230077,25.53820010825099,27.907310048633196,31.208865837183748,29.207717818110673,31.035180966020107,32.65004890530911,35.295495110749705,36.377472490278834,33.4725030446499,38.134751053885104,40.43506911466654,39.18442411915777,43.081152205971755,44.622968560777494,47.84315278560983,50.64517288615827,54.623267862675576,54.60437061244748,53.54106085969359,50.77980156206298,46.90450243315358,45.84910839576504,42.45148785893868,43.565722305405565,43.452637438004764,45.56861047485882,45.64887575676352,48.545279702198464,52.28150232481395,50.62483783240898,48.85580624217214,48.38179830468078,48.88762333940674,48.48877849853921,54.318114240166,50.34761596465218,51.264572805092655,55.700718475649815,54.78105575508501,54.409759569427806,52.93193741983218,56.86469187910621,57.899494038379515,54.08981228132078,57.77916676198775,61.441877408108525,62.57506522237739,63.70528129917986,57.930356493335985,61.16076415395678,64.76585958930656,61.86966437536943,59.026871919856276,63.27928999407185,65.31447817454911,61.132560186081335,61.92521864203237,59.9439523617851,61.314536005810666,59.14837849691644,55.71408858901383,52.11735321931174,49.2358178143283,45.850179873390154,43.49331742663124,42.04293411956046,43.42575267343529,46.12368413354356,49.92174843934103,49.867798689732325,56.05280080243481,55.691971579139135,58.43010463783709,57.89285580026131,59.30688171047229,57.50634205361554,58.6518297003961,56.87288020319033,55.7590905121489,52.527927400891826,51.22706927308428,52.964214505270746,53.612970521927934,52.932452568907806,55.56400489802356,52.73696066078568,54.90580023099086,51.23988129594461,49.23732206015357,44.65113305097714,44.02085721583057,39.83157407366734,43.39317388169693,41.06815563208791,42.20626381925328,45.134926565442186,44.373185226499686,46.89596720257286,45.13981528286259,48.49520837536338,43.80784578675365,46.08363435829246,44.86943836021265,40.54418360566809,40.834539537250514,36.13384244368675,36.960368315605635,33.3989947769777,34.16800840781583,34.18993944234546,34.12624508633503,37.24511910189964,37.28488056226525,40.96361792464772,39.64965069107166,36.260782064829954,33.74993901971186,31.447382027049095,30.27169242149257,28.75404102618408,31.443417274096536,30.83516242405074,34.67481962213583,37.17497954370502,42.04908432406481,40.9475461436244,45.28546022235202,46.22182158074766,47.42314258928123,43.395891193155066,39.84146414604758,36.705830839218685,35.61998629589557,33.92017168472374,37.29848352853868,37.98226861401659,42.6397297315685,42.37047050124229,40.59983952305758,43.94674071457991,42.55184110242922,39.60617401918934,38.98498674375917,38.7112398919453,35.53744063703975,36.76023278454662,35.14635068297555,39.16810830052749,36.70041446893369,38.55710714544875,40.467207980582714,39.27344949147492,40.49859233543325,41.50267616092788,41.6593403849118,41.650763502768264,44.38929334838342,42.59890498859558,47.22273956731533,47.0715405072911,44.17948181301771,46.028599884182505,46.65801392981925,43.850808611084936,40.80589847083186,41.81745972766847,40.83666246174219,44.81482387753453,46.476311283810254,47.459321534215555,48.287078932731895,46.602647738170994,51.86341688189079,51.61557452551309,52.50457021679154,51.11398413882365,47.055880706348944,51.13632217733314,53.31311975475211,50.62187922344757,53.61499660364221,52.40400754810971,56.30823918217674,52.595838924813535,54.828437299293796,54.62937847184044,52.81526409786566,51.377764163660224,49.03311498212531,49.06896895811686,48.47267229792745,43.685428173287,44.610764525556554,41.162243742445604,40.597869673564,41.61730566707335,40.34947398755155,37.126855164941794,36.50709114909121,38.15727103489541,34.38594270907695,30.843951524236598,33.59172312119922,34.87704064030647,28.914895950915614,28.520706743133815,30.388989526919865,27.945290189580167,24.179779704935804,26.252257661612376,27.401510409876977,31.234853986838264,32.476404846078744,34.21182230168772,36.50508461611281,41.46070104927114,43.104765314271894,46.89369293541662,49.139020997245765,48.2342372009693,51.27119992387857,49.74538363676414,53.85767401715793,51.88109597198953,46.71661665101686,50.32651070488832,53.122812311850936,48.76321743104549,47.532334923705136,51.202017540284636,50.21869162288572,45.648471951642854,46.21862363340171,42.81836072903063,46.25975789139636,48.52525108433783,46.75765069454074,49.089674537482196,50.56488884524309,48.719098485790646,45.153153379371886,45.34843916003798,45.77951529493726,41.96600338118019,39.87246713708169,40.58105751536453,38.35751533892028,35.358042171073045,38.79903874576995,38.081061728731555,33.270560195694785,34.506874112744285,38.05784549735656,37.953015088406794,41.81366408316992,42.383247797717075,45.8123814318014,42.758309638697796,38.43199766476791,43.063831742984966,43.21196359211592,39.64851989162236,40.082326691830595,45.30796244180369,42.52875779719398,38.270017508324095,42.0450505113351,45.42995803216859,42.301787863657694,38.92885797729834,34.28125848229602,36.571322138321406,31.97909691225823,31.541789528607115,27.582018611410735,29.14818170154737,25.49396968822207,24.322654223902614,27.622316243268447,30.44310500029173,32.5859040760417,34.4342229824339,32.39760491058359,36.375581199488664,33.09042782772379,31.14490384612802,35.5291065287863,36.206259899503785,36.344541359496425,32.105777703408855,30.68341414239392,32.068491787455514,30.222082654596214,25.769891199764395,27.626982147255735,28.80038563925297,30.133722442329912,31.64451151036573,32.346698111363146],[19.457991122977464,21.007459535338892,25.14937176405614,22.84212613103659,28.93360656185685,27.37429836930502,30.12766078180456,33.323869369721514,31.642132014876015,33.82089151784699,35.48453387730526,37.884321375845055,39.18756063249088,36.52352001441674,41.16802520985845,43.389195146830346,42.267541993710566,46.28751243026244,47.98744590034712,51.08912214412514,53.98877993420364,57.90977147297138,57.98614407496534,56.90601329912028,54.06997475750211,50.23587783610793,49.035643016047025,45.60053541409333,46.64305818718987,46.35518029642145,48.62760046442159,48.434581268192694,51.3165942816957,55.19261737551175,53.52013245931606,51.88065002465857,51.1935403726312,51.87575711121963,51.45417382424154,57.17941312055686,53.33993089542071,54.41760715997675,58.84434994555497,57.885574240966264,57.56665429446349,55.97564301346234,59.92428370560296,60.97180612034208,57.020828370701366,60.62738413449647,64.33338653492457,65.39299260237145,66.62493657999121,60.82954081139547,63.95661999947982,67.69757469807345,64.92459069483702,62.0330918242857,66.26682959864085,68.41380640851692,64.329699034977,65.14143228732145,63.14565556862745,64.65228261680082,62.46074683682802,58.95262139325019,55.4974106097429,52.538315835894615,49.27291825295318,46.84567528162174,45.49334472225884,46.93196450194197,49.532412963266474,53.36928163585056,53.16324768834511,59.34115055125546,58.91358258252575,61.55755154514791,60.96351144179825,62.34675689906601,60.387932516240504,61.48959485471119,59.513936284517555,58.35133003456873,55.22825771691419,53.98231601983692,55.91852777013237,56.44295630338475,55.998582619231144,58.548292192877526,55.84355083694374,58.06892565828155,54.344535017544985,52.20965786477049,47.61562126294954,46.97332078287038,42.79130852677272,46.120709504306575,43.64057096453124,44.41652355199525,47.5877922956937,46.48914812124961,49.267909572532595,47.21136764770223,50.54715523311483,45.74109694763651,47.73294867956039,46.46314367069441,42.0406717447931,42.46766245430314,37.859997307039194,39.097984624634876,35.71235279207538,36.7366202625669,37.064578752314546,37.1239250758553,40.38898996049945,40.50729553749766,44.356460258568816,42.95501449440982,39.61572051376377,36.99488439058318,34.669156438534365,33.28884375561591,31.517386147993562,33.980731896156186,32.869548769393155,36.770074034538126,39.02972379424935,43.959318625779815,42.646028692200765,46.8690451862952,48.05440155496813,49.34792421134441,45.46339955950256,42.081108444444844,38.731345316542644,38.050770257803364,36.61491526780873,40.0870598385283,40.99897443809049,45.71142214452155,45.505485242469064,43.60396051366929,46.91571388439659,45.496919511203075,42.49727685194315,41.71956204567742,41.20089558942515,37.95840591711012,38.819497529989164,37.206952269362276,40.94092664976561,38.33183007756332,40.52760863281903,42.55253990805035,41.60776742418944,42.65435472235056,43.972400055776646,43.91218801924061,44.1291214360691,47.10611876961461,45.36271781764906,49.968060450708656,49.68523444937873,46.83012835743626,48.4169811365458,49.0364238292487,46.03816976864775,43.17128714358959,44.097121223053264,43.33020072156056,47.28014561433201,48.93388252565336,49.962085540824155,50.66029857255727,49.15678000147718,54.28303899397684,54.14017682656228,54.85882318044055,53.53157243186482,49.24486071844175,53.26440460700849,55.45746825031624,52.90601233732446,56.149790822845574,55.13941771828738,58.99301293139342,55.35530146337112,57.39554004646432,57.03884908826541,55.1660561639371,53.50739008861046,51.021780142066625,50.86250015712163,50.013000868708694,45.21535756388776,45.88862762957821,42.22591113601954,41.7532673856417,42.3396792655806,41.14546244821464,38.153126151132895,37.17125535238311,38.53282854053662,34.95566829427383,31.46767473644553,33.745065263353325,34.89486062710253,29.17439076145452,28.46381423119261,29.96487105485951,27.7621839741923,24.052059207027472,25.529683508337612,26.899823403180008,30.290645432964343,31.840782028661245,33.78317368398338,35.779432304697146,40.75118193460938,42.108164198070874,46.13477242489483,48.531407560955294,47.94513136587071,51.14576349226926,49.9361758351597,54.0299201646509,51.83520468986396,46.960034857163635,50.76073682004619,53.39982775280522,49.046879959926095,48.10066208242164,51.909693774930496,50.699629293590405,46.138066814333705,47.21239377557678,43.57813845696338,47.26093233036263,49.30940995445525,47.29071841991099,49.72424438519443,50.935975255232464,49.41461761300264,45.85333892555387,45.62183829309497,46.19922999852923,42.64959800994316,40.24086238730744,40.71689511509623,38.58568027126205,35.53531865290003,38.583628391948764,37.76999012402317,33.05883568584433,34.017875666898426,37.36450534220557,37.399923138214845,41.40082605550303,42.330820501020206,45.61180122065453,42.24418809915623,38.27716764361484,43.05887169768326,42.896032031884715,39.329096198200425,40.20888453167022,45.19916088652479,42.14971030635181,38.22372306520095,42.27385347408411,45.31001094051678,42.014788458587205,38.86627183215162,34.354612045532555,36.35847553026617,31.848186339468874,31.010158411393412,27.527484664797264,29.261608778172526,25.905528739681067,24.808393000319498,28.25828762056,30.967525532162938,33.3894330621711,35.0823587527879,33.5473290169371,37.624581696686086,34.70212046992713,32.36942605111426,36.72917685076196,37.06485573875149,37.486920295980966,33.420579698535796,31.472888512119784,32.81527573630607,31.593108561609654,26.82268093451512,28.087830152306026,29.214077645854335,30.53735946428427,31.947200533431552,32.600424678075484],[16.02378257296487,17.759161593662792,22.081370338405325,20.046360149527306,26.19087898633632,24.1963253649706,27.09837727567321,30.1044387858497,28.555133887793712,31.032201144521856,32.6967885744937,34.863825763005465,36.395096622853345,33.9893282549253,38.576182953008804,40.70643545663588,39.80590103739425,43.96751877014693,45.9929411186927,48.925668727894845,52.017836958083635,55.89861600512904,56.1937630503981,55.23890299679305,52.26027108341457,48.404409934866436,46.97865752729709,43.40223964567497,44.215481436808105,43.67151350725236,46.045434649028145,45.565621813496264,48.41509661258562,52.42189818615572,50.75806422217532,49.30181542218778,48.41854591900111,49.399761262737954,49.08364531877222,54.775608063097806,51.19370599272756,52.297830250079265,56.740668288001444,55.911018634164904,55.828496453206775,54.28890944814118,58.324540008127464,59.13830922329069,55.06164404061215,58.81697469166748,62.38941072670356,63.31584550829195,64.51451393492108,58.620048823560154,61.57520940476914,65.37617722513336,62.75725284842979,59.70185080364146,63.83717250837797,66.1969009684338,62.15687368907896,62.86822617635292,60.78954235871345,62.53840430074874,60.38270417124328,56.73057388228277,53.473764410812755,50.3393748956937,47.30534001899885,44.71751237119353,43.57811982957702,45.17203832367444,47.5200785825765,51.42079749164349,50.91361034910238,57.067919054810936,56.55694041877472,59.04128826232287,58.40970342263469,59.82164391611863,57.70909751028109,58.866731087657755,56.70748358929802,55.62744995793069,52.657019352714066,51.30660575680983,53.39173258130545,53.69310132985728,53.48156854155002,55.86452025197914,53.305954479352536,55.60905965259135,51.82034577710951,49.53032945891947,44.92902302799156,44.32250078023695,40.138722502870145,43.198512581776434,40.589246814513906,41.12372080548625,44.44704916423803,43.18148265311904,46.149015694043676,44.00291627385664,47.486872915706975,42.67154347084628,44.621650341845005,43.512928608402035,39.06356247855917,39.33408449848245,34.768059833672545,36.173510031963026,32.770505090629456,34.09255149774725,34.52860890211499,34.87595937581001,38.22698779761504,38.656535131143656,42.584225359397124,40.87639463641228,37.65533441484685,34.840523823276904,32.70910126032662,31.050522160109818,28.978734571623388,31.509633866229958,29.993185322523985,34.043172048064534,36.25511444412761,41.15429794138656,40.05805444390392,44.19914953070143,45.57014512187544,46.63314400600142,43.00278095406682,39.59489084740488,36.4476543182889,35.88894003201834,34.6273791847588,38.00915049505952,39.34960369301154,44.07789655352194,43.641155075881926,41.544971340648765,44.734683844791604,43.09206266413318,40.09417006527776,39.043618501599646,38.338553180231635,34.95665409338355,35.59814360397581,33.881463028276336,37.47242567523112,34.799637693672935,37.12255213409729,39.19979151318658,38.417122594924976,39.41730171238603,40.93697693444964,40.890931395861834,41.423279469021,44.48455097726298,43.04200770949789,47.55609195956901,47.45188390008463,44.891656451376,46.38322585752806,47.280183804286146,44.21755359675186,41.30970054080398,42.000142613044275,41.140714121322986,44.87675139214434,46.34777913924901,47.241966893657114,47.74312051907309,46.25729860391512,51.2797533874275,51.33359111344069,51.98502540797728,50.894100010334256,46.428421443113905,50.60151426287991,52.93207305005142,50.47383568037609,53.79278998297165,52.83801302395834,56.82876742461401,53.45796475559499,55.40868341547696,55.105712074160124,53.03617949063717,51.39193652467305,48.81946009751456,48.57229666958396,47.73316399113618,42.87520134859513,43.38627348328149,39.70752275258241,38.95735113425939,39.539108331885835,38.10146056998346,35.177301694261665,34.42303309171379,35.61170764756738,31.872687488697558,28.73976386800948,30.99515505804207,31.81267257961659,26.11354443661886,25.66120609036677,27.084200024336482,24.58075835195627,21.090964802304143,22.9264333950955,24.49796426106931,27.799245574383733,29.871012788764045,31.4348183949185,33.35092711931462,38.441512432464194,39.703804039551194,43.81924097945848,45.964285299763205,45.287083487875115,48.37603783936916,47.031076560448994,51.25948069015389,49.24107065597245,44.32212305986592,48.047732093482814,50.91727093095182,46.679612292896564,45.623000892274476,49.47421217555602,48.54960571570743,43.99292574219779,44.918503643670114,41.10911913918478,44.500751833020665,46.50265009275214,44.351318950653734,46.613949629633275,47.72990302675982,46.11758951174795,42.68925585417497,42.400333367015136,42.81259722444925,39.28721164617127,36.99255957949868,37.34334538109424,35.126283314339545,32.20174687354366,35.34656786788307,34.42559524208616,29.66691568929809,30.877342579787474,34.301009867265904,34.446181130110624,38.40828939057314,39.277613834293305,42.7075616410919,39.483491157330846,35.47317471953527,40.29586185866593,40.363947589638116,36.84942322505312,37.70842081492271,42.84312196064217,40.057862259207596,36.089082356194076,40.101244776018696,43.31701675189666,40.266218236809436,37.101889167284874,32.54804828933234,34.99073069835591,30.584420901208755,29.479969163013234,25.774575916924157,27.01677796483853,23.36247982119403,22.827062566698938,26.270627965448288,29.26601319599727,31.45895744257817,32.78660925353612,31.01229133534829,34.9559395327334,31.965851031895564,29.37672880397046,33.511614060387856,33.74540374703821,34.047842077994616,30.123255056715234,28.124840284237138,29.284512846827315,28.121850232610004,23.404086952895447,24.589929487474254,25.59464970243856,26.923129834016102,28.373413740021675,29.093984672101],[17.814014576602954,20.319891609650004,25.01604618073762,23.532783246722687,29.589987060049296,26.44609914665608,29.311186325078495,31.641938684416992,29.758217113249188,32.57839930874149,33.685500846195204,35.46396043662853,37.825319862976706,35.43804128871027,39.58250448757774,41.897420410539944,41.61715141007224,45.71745329424642,48.117543501235815,51.13018833053809,54.34291973092631,58.365769115467174,58.7848453557583,58.127535844678604,55.15440803244121,51.129458189836015,49.703023634822905,45.90413553554599,46.236380108300544,45.33064057660921,47.09432371385267,46.59512466337787,48.99997814592045,53.176795496599446,51.93983786632797,50.87188852888139,50.038295488894356,51.5993186949808,51.664456757590614,57.498078538784625,54.209755775743034,54.96727189201018,59.46137907784774,58.9873293166237,59.16754922021644,57.916044605529166,62.01644848369324,62.50062659747261,58.49742521878565,62.56977837707598,65.88808761849018,66.71860621728278,67.68864394338108,61.6692348887102,64.45208091677068,68.11878090367166,65.56250703428579,62.25401441913885,66.16811048439892,68.76854377608247,64.53503318387735,64.82988697534199,62.452999670088246,64.39202014581235,62.53835266861004,58.76705361471819,55.38028008064236,51.996160024094856,49.01450226718387,46.021731113436644,45.0377837370305,46.35660870165484,48.56623759187202,52.78019159817909,52.10443432603085,58.10359156822261,57.99956073947549,60.15316658240796,59.850283245146564,61.62155291376823,59.52058767970592,61.03076453489159,58.75044886933404,58.027802443025394,55.289619589517145,53.52472311956796,55.528697843218694,55.372299903541744,55.164627251870286,56.960814202490006,54.35400098058892,56.316189620316415,52.38303827755513,49.92849543462582,45.497427299176636,44.45915706077023,40.50136945005865,43.569499295962835,41.02388528481018,41.17170302887305,45.18026771345858,44.0946046945623,47.5216643827717,45.63105439395608,49.68237537033687,44.98509554640341,46.98425710672794,46.32510464526104,41.88027464849467,41.68512658774948,37.238404765820995,38.757127798969115,35.090023717488876,36.85319798015172,36.91323031837483,37.72261695546822,40.853239148075126,41.71949674246099,45.20249293818386,43.051418583026006,39.94810536818056,37.063535918484206,35.582020705283014,33.887178960817934,31.668387605017355,34.73161773298955,32.86581554220065,37.1674849187712,39.41292809919713,44.17345057004305,43.6001961412981,47.59121647553806,49.202878482458864,49.79673895939624,46.57928720894233,43.031408887566734,40.370599515761725,39.715373747208865,38.43975289976473,41.54642950219069,43.122541450632674,47.75644771184939,46.87692993970126,44.734757094767794,47.752958351622276,45.64988109505195,42.80097640747441,41.34360016062621,40.57145202503622,36.808417039000574,37.2255945541134,34.81054721338038,38.04720593536971,34.52789779153685,37.01981642109786,39.66413553187159,39.35381033322256,40.720403721339316,42.46718148910777,42.98428378616159,44.12319697397632,46.97604845787479,46.1652895206535,50.50228517966795,50.92010368182548,48.76093468949942,50.35952205338156,51.58696399859144,48.58737337150654,45.53972584554147,45.995532613936646,44.835412291375675,48.225435461806924,49.33369126254291,49.83990417245722,49.9660966318272,48.17963598934394,53.08752519439838,53.632550412463466,54.3533906972269,53.793098899530875,49.17309716611928,53.71981739671489,56.29397729915529,53.91045908587401,57.10959687550276,56.00219185503221,60.288234146193254,57.2285190068269,59.257717152543925,59.15717226942527,56.88119421309129,55.406150781572975,52.79712056655932,52.499948934883946,51.73523721915214,46.82398195816771,47.100973649446686,43.41324093155179,42.18995437770381,42.66382066445919,40.738970845188064,38.066466648774686,37.695220126718766,38.3742527358442,34.42417583210669,32.132791438886166,34.05263206980961,33.97964726469086,28.675006877745105,28.578526094490336,29.410570209428865,26.438851220570793,23.74653183878143,25.633782027262633,27.781173830274838,30.28636257910459,33.54732966875071,34.71883599135546,36.135895095428886,41.37935434952152,42.05159276489775,46.61927998252263,48.44337949529759,47.942440154757385,50.92545435170349,49.561408353335466,54.03134640506495,52.20720982427141,47.46195579605494,51.126060582735214,54.295949087355176,50.279424346695485,49.19937308996626,53.138749148396386,52.54425944172059,48.033855658834604,48.90414132135098,44.81193565957899,47.72905768630553,49.5656606132654,47.048733521014036,48.9233378946036,49.59946677273631,47.912141601761526,44.92513286605292,44.21130768736273,44.15776665563218,40.93323355303866,38.87054012886507,38.55826520754959,36.104377669749596,33.71840341644949,36.68534926393385,35.181196710043984,30.486260307021116,32.246865323248414,35.505275107335514,36.23059694920293,40.20878417753459,41.319678564369596,44.9340926280842,41.73380993004203,38.08447542206178,43.05642139139974,43.29672610771805,39.92267431206078,41.090936833829616,46.23109975734092,43.65237029984158,39.92943374826846,44.01341459530621,47.21630762996586,44.37017205312153,41.3734719071539,36.907087376888924,39.580068557085546,35.35946646708053,33.76412882270472,30.22360257331784,30.9554967468881,27.10608962989946,27.34087016646464,30.76166197141181,33.97186678214174,35.98167063766409,36.80317695567361,34.80343182214199,38.47450049561267,35.34812993160806,32.329505518262195,35.8077561869103,35.68587681600585,35.5353613149377,32.196976534035514,30.06483163172684,30.40333903717954,29.454007006545943,25.22815418543179,25.849053608934906,25.94360106176483,27.046068292535942,28.358443897908057,29.03534774583312],[17.358816256477127,20.091768480034684,24.755269973774073,23.461315377925192,29.246707023783358,25.190277457038015,27.872046340163187,29.65363488984077,27.535464801776172,30.56934497529115,31.292446507688673,32.74712552878889,35.64830646135047,33.387290826441806,37.17518336051882,39.5430733386788,39.73096593771076,43.79598931568247,46.54463322147387,49.50591972259031,52.85122905248389,56.91633809429835,57.512005822484774,57.116116726879035,54.10162149488514,49.98568547189474,48.47983742513813,44.51667119782559,44.444734059352825,43.23827752549333,44.63339075695981,44.046791220879335,46.157911565162834,50.437314728524974,49.46662701429077,48.69854416962626,47.85914755179554,49.8649750282187,50.22554627269825,56.1156595870963,53.129498026189935,53.63825886297208,58.142230511433446,57.96817475296839,58.42627145290302,57.42122229663989,61.57616017151005,61.7203087712916,57.762619870862565,62.10969644938769,65.16193255046785,65.88674398045167,66.66193132360748,60.55309386956952,63.15445290219553,66.70843269340087,64.2504072054096,60.73597431057444,64.44420178975106,67.25458682685039,62.92589071484007,62.91497019813263,60.33461215372798,62.47700067270846,60.83377433517544,56.95322664857586,53.59581658559431,50.008849889709,47.195141278422845,43.917971577782225,43.145515150037824,44.38618725583241,46.35346951032192,50.7375704573333,49.82140842569682,55.68054396435762,55.77442395476244,57.660614447511506,57.54288520770036,59.539209411933044,57.42446291720793,59.17600796782869,56.80905396100989,56.366502956369054,53.833438676063146,51.754314665941585,53.70939639866829,53.199917075512694,53.049541806133476,54.42349674822144,51.85262677090347,53.64064339550607,49.62719875775175,47.03968975332769,42.73637846643653,41.48335927513934,37.6878287684015,40.64304692786839,38.13496697872078,38.04841157278388,42.43276814029245,41.51174352601429,45.18889899297012,43.54980513704732,48.00505397373043,43.47037228957576,45.591667821429574,45.32627390917953,40.96398682066247,40.33628815373724,35.99706360272701,37.47097608953287,33.612426834572304,35.688623210615866,35.46788975115774,36.67585667185155,39.62937447812402,40.90792422117324,44.08141367436684,41.53185016084994,38.601962729491525,35.632971151507206,34.69546797591953,32.90704297729792,30.55325618278352,34.00046239503489,31.926590330184034,36.36664320521318,38.67762604623283,43.25328347783751,43.21703746789524,47.0862529706479,48.81235947394364,48.95169286652876,46.08978006686149,42.410203609753424,40.27824755765123,39.47927406942221,38.218393256236936,41.028085620269366,42.896905037051326,47.40884124550767,46.11872061690891,43.90223204860829,46.722433464357294,44.24357407964966,41.53844996608076,39.74929312993594,38.93211357244237,34.93157487751945,35.23101743683293,32.3451779719857,35.37484223815382,31.385813708870824,33.874453713002424,36.828360155303706,36.800774980158685,38.43030767241473,40.282123439978484,41.23837417697,42.82044591159173,45.47149069116786,45.20705780957585,49.347382132485656,50.224784059908416,48.4826148050073,50.17564642496626,51.74892672985716,48.854289104448384,45.66263560868944,45.875703387036204,44.41255039978054,47.44849504700237,48.22748147090639,48.401384447179325,48.241948752403026,46.22429024518202,51.0209549076677,51.92602025467614,52.71567713072933,52.58409322017784,47.90665377027787,52.753016629865414,55.52323729672032,53.194488046553815,56.23706979437942,54.99957974355685,59.528371134510316,56.79812192894925,58.88383447083282,58.99525841229352,56.52598886405313,55.262852908805336,52.66597257142506,52.37995549090101,51.78748942960525,46.860368985693036,47.02860128682765,43.47037043924378,41.78730962102066,42.41371823983201,40.052388434843934,37.48023654567715,37.65226925700845,38.08864994662188,33.87855163238517,32.285620732108974,34.21809523223926,33.53036766432887,28.435817790235298,28.863960536767372,29.51494370560031,26.037678428510613,23.978985891297686,26.369213336773935,28.743638334553477,30.98126288615823,34.90222899414159,35.5366420806208,36.790771588477206,42.104438961987526,42.570551875616616,47.243588666542806,48.648294300774815,48.01309276895374,50.757134050300735,49.13753668317325,53.79558208767068,52.313779877476414,47.52048900128064,50.97287094654245,54.500566015901335,50.698982400987674,49.40258154255044,53.31191380167024,53.1820004074625,48.72962609465978,49.22535263976998,45.0323136200428,47.36422862899393,49.1767710239673,46.53133331052171,48.01402690052558,48.523107861522625,46.571580996733225,43.941623368635646,43.19573968084087,42.690269659778764,39.53855835511194,37.88324444500924,37.2478355534574,34.57732229019335,32.65347015128152,35.76480485869652,33.93802798126739,29.26776316851531,31.641911028648956,34.92360196931515,35.941037288147555,39.766869720035814,40.75315084593635,44.60455123171964,41.716284453374726,38.080385403267606,43.01265957663622,43.64994642898592,40.42188261160716,41.48853802006458,46.78681126246954,44.63504759391702,40.881452182083535,44.794705156158045,48.24379599776629,45.75245659874765,42.74655267121146,38.28554897492839,41.425689364144404,37.35553411684834,35.5971084336198,31.841219808956662,31.953987039549116,27.778212716593224,28.678206705541317,31.939707130877174,35.40983468081823,37.03877855692138,37.44838723093129,34.97812912678975,38.31138206189384,34.944750496407536,31.76795470842999,34.67318895383298,34.46184881741891,33.81684540223829,30.88051446378722,28.96041421111651,28.6993639080908,27.591752378226374,23.984110530252273,24.520835418955393,23.98320724696508,24.950340253941906,26.262006269645493,26.988388099614067],[20.126235151765645,23.136327606376298,28.031184980309515,27.345145811381727,33.285505836524386,29.689843936979766,32.71817150547878,34.56057424712713,32.79754743215758,35.9809279035133,36.82018964429075,38.16027876335225,41.082088063956974,38.9358221059301,42.768984373429994,45.07784872306427,45.23026425671099,49.350110703984704,52.05857655767961,54.991995814972746,58.333028262818054,62.36285222250248,62.936798464323594,62.43957159887062,59.41427933322345,55.34805367840258,53.81056065717288,49.88885836891998,49.90271609150463,48.673361855311114,50.21706443782504,49.48570554497258,51.605731119374596,55.94651945754406,54.943288406123806,54.20648135635656,53.234486276424064,55.24357996878223,55.50244526664294,61.29701390257869,58.29943322513827,58.985147747058285,63.476251165011185,63.17864043004274,63.55725074035019,62.38809573301888,66.53005527331146,66.82296607996123,62.76252924871996,66.94673251262094,70.1316680208367,70.85103175512414,71.75831509742066,65.66964475180319,68.25752317982875,71.93935645533925,69.53045633210861,66.04800882784546,69.79940620035956,72.62320685353083,68.37613802801918,68.44877055792486,65.90262825133415,68.06024578360717,66.36174109081112,62.47923396740489,59.16651018905723,55.602829579084755,52.779694731770505,49.542632920670584,48.7363990265462,49.9571299241614,51.98010188441177,56.353255357218664,55.4546035254819,61.315985641422735,61.37276396200214,63.24548577229163,63.07825332834416,65.01450006284081,62.802403153534286,64.46597150932023,61.97536772899173,61.423596205090625,58.92310632708105,56.979282400884806,59.08160463276671,58.568274705263434,58.55865094832267,59.945287162123634,57.44120490732246,59.25128697034624,55.22645325502606,52.594006781090854,48.305921794652214,47.045966297978985,43.27882589047671,46.09976809215028,43.50265419920205,43.134234120845505,47.655022513899446,46.41531277034123,50.25734094314339,48.302181114558984,52.61771467677659,47.952685582491924,49.74789083028841,49.321284051972626,44.86381943419586,44.49912148779976,40.258138412007625,42.111002316561716,38.490313112140726,40.639172519408,40.72616666592481,41.85223256785182,44.94661751606646,46.093640813138215,49.451888964541325,47.015473872227375,44.04427096113273,41.07080013200257,39.911956513510795,38.07288543325852,35.63851966839546,38.76481372945314,36.398583259646976,40.810645849206054,42.87615852242172,47.539692443804235,47.12693579115051,50.91134956647372,52.82733361567967,53.20358204371602,50.35678208735013,46.87976661870055,44.370080165273805,43.94208595655668,42.85215643435772,45.85417566227196,47.71468766372626,52.317306724180575,51.24441708986723,48.98943187196158,51.865186719494076,49.50811438510965,46.725343948003115,44.94901606526606,43.96660744769841,40.00778861439803,40.02269059883749,37.2783247709143,40.015012574304166,35.988628488253795,38.7899746352017,41.78625420955758,41.94355358750108,43.34754540184486,45.43635180591952,46.09153295103,47.721143193981675,50.60990143867787,50.192394518155915,54.38330553554012,54.999678776427494,53.10903580911125,54.57138782463009,55.9829587692136,52.90065515069469,49.91175042458683,50.16765143619793,48.993698014693535,52.143691728901246,53.03027033313964,53.345436179036625,53.158030439824486,51.359737693595385,56.047537760558,56.95208148297982,57.575801420783925,57.376691678328584,52.53357728269748,57.21677028833904,59.93109217756795,57.708836207188455,61.00561933592591,59.96680328084464,64.36910462262213,61.56735039186937,63.48902197451197,63.39852204143823,60.96329280291272,59.436241125028246,56.716203491046436,56.25337566823136,55.363657082770764,50.44842238806522,50.40991654293719,46.609211627221846,45.17740345233064,45.28575843679368,43.140904378118016,40.82194401724976,40.44143746605098,40.60429174866412,36.73575059026412,35.030573063981684,36.4013889302829,35.6851936016744,30.933439417475547,30.846111252076007,31.044248714891758,28.0463178412292,25.990064884645133,27.45130167884134,30.02519259061139,31.66775291257938,35.8190205178077,36.82993043864378,37.704460626440294,42.969059205398594,43.044420719578476,48.008333254928644,49.68598282019388,49.51693180655849,52.50676186051005,51.35981377523275,55.92852055726873,54.10282508300902,49.7144517519965,53.4270111212743,56.65621254849377,52.826788695380856,51.927613148130966,55.983396531200725,55.45985367695145,51.02044883933293,52.17451687910632,47.789443470152825,50.54434674638653,52.1116650175661,49.21830769274149,50.89741911966772,51.10011682099721,49.62074930617471,46.95026403320525,45.67590486599746,45.436301069430094,42.64602154695113,40.53706249157544,39.643972639300735,37.1619136941408,35.13563229974682,37.6343896971296,35.713787506916155,31.26694572246908,33.13121805786821,36.05092401879563,37.24405776201319,41.250781156732145,42.74958650035904,46.32619232607762,42.97944402658407,39.86858182477576,44.954439685559734,45.10056656104471,41.86788502434672,43.50310804684656,48.430496765097736,45.852040897478524,42.54523921546981,46.79350987493892,49.73825816040201,46.96041236456604,44.24496869279687,39.975809940258344,42.60899715919889,38.613318729848075,36.49800541750054,33.39194930979777,33.887657525464945,30.195945708510525,30.90968233248387,34.33607269154937,37.56111626296321,39.59634648828206,40.00299038293032,38.21942092042833,41.74298305885676,38.82941554582449,35.36824888509715,38.38180415729333,37.810764562013276,37.60723800509486,34.80967382900769,32.2840709038045,32.10163141022077,31.774826203244224,27.74198646113573,27.581215783252198,27.092571661819584,28.023897826931403,29.12341417222432,29.74078163475261],[16.608164608368632,19.987399823642267,24.939226589879187,25.3944730399516,31.062105593222192,27.379154650600235,30.815427591344392,32.32290485197863,31.26946344504602,34.986451096171876,36.01369299551318,36.833870608922794,39.95421849644266,38.47188755477084,42.24291795245301,44.21824534676793,44.59357695521352,48.958570945142085,52.08062526364314,54.59058885304553,58.19743472139055,62.01479451968056,62.92887640412363,62.4818310681415,59.228095319523575,55.28819162499183,53.33547384218413,49.336778410601255,49.130340153082905,47.515923260185204,49.54472605549099,48.137324493939815,50.30862246530018,54.855411065499304,53.709154713933536,53.242889750142986,51.77366244094075,54.153800390602676,54.40443731484239,59.91223894236682,57.3465881956944,58.330531139707276,62.758351190201736,62.48139106175854,63.13711608999547,61.848928227798375,66.052478135471,66.14829856363635,61.80569205107036,65.95933796378607,69.05073095883276,69.53322994609358,70.5609866157881,64.4225411230894,66.69499577604667,70.59865955390812,68.53190877090468,64.89766691237688,68.52378782583422,71.65010943265874,67.67668811193184,67.77939698899047,65.23925385131761,67.7841823675628,66.01390790999938,61.94488761828373,59.13881603276168,55.3987497034383,53.03868280326749,49.72262835180381,49.2589087920847,50.833467183327734,52.43598202265797,56.74856411615211,55.35225310926279,61.15110382827776,60.8646036732483,62.51476903429476,62.11333102451762,63.90456070521448,61.333494655263976,62.892408758932966,60.00837149874327,59.42069478535596,57.2096570232564,55.33813110756795,57.84459281243677,57.05122432561317,57.61518154363966,58.8723716171679,56.75957821140496,58.846887983632,54.78286758316119,51.89149860585213,47.600377390102885,46.56997220685229,42.80827661694411,44.91574857881704,42.00070338886543,40.9987914692248,45.687486047999904,43.79802962082266,47.975182320852035,45.53378536555075,49.790271761560064,45.064416343526325,46.44108904205261,46.094592374785194,41.624765041592,41.29018595199422,37.33035874694962,39.75388958075018,36.49120139601758,39.10617939964668,39.73482204580372,41.18342844303595,44.50775937887498,45.96268835421451,49.664259716664915,46.94466292545928,44.20075392284519,40.974389962123766,39.866003292331435,37.56584897839749,34.65494831862498,37.38569879706572,34.18308885899298,38.60674864620987,40.282546653129785,44.84252395369607,44.413392817591415,47.899953618084105,50.21726662592066,50.470804480081135,48.08010105962383,44.86397443807913,42.38312792225502,42.52545883489832,41.935154551240366,44.895895722619656,47.39521871877332,52.00686192838978,50.8526366592357,48.281927019401195,50.95575434739756,48.469058073323666,45.65672284900934,43.52533467273005,42.08565599984616,38.09598800436793,37.465776103765,34.84912298858123,37.033337156119345,33.10114302384182,36.370905055098866,39.32199375090577,39.85856404348021,40.84999555236217,43.44827793252608,43.716834224108105,45.81080699002318,49.04436198357703,48.90280938849632,52.917913538826966,53.482112754457546,51.941380686090895,52.975784235934974,54.628865214170865,51.331725615499714,48.55511685042467,48.47936362707943,47.49121489369314,50.34726127000397,51.05827162427333,51.33748379643148,50.852831758349,49.39450253880431,53.736964592640845,54.865700009024174,55.185595615471215,55.23322865774155,50.04813822058955,54.6896513291747,57.49791507592947,55.560742321619365,59.18374531259499,58.47968016891777,62.86721157753901,60.440098975737854,62.00722100850265,61.78129353818169,59.1180494354626,57.38120459631448,54.47219299927266,53.72582255549854,52.60947199257357,47.73022968176655,47.273730445305844,43.353517270444385,41.75442606885317,41.42905943488074,39.15508402067479,37.22222361512199,36.75288863975704,36.423295157365615,32.711402699724296,31.582071710160672,32.39070191199837,31.134194346858113,26.928070289443692,26.874500940416166,26.542068787380593,23.552472362239172,22.118824645289425,23.323289679579997,26.23081457619982,27.16394233480538,32.13679227615181,32.77249523197023,33.22166537639446,38.4813635679325,38.198217935230005,43.35223047058998,44.804751597090004,44.79778697721555,47.74354420414707,46.74629457115773,51.36352663334029,49.57806698824849,45.48127780704435,49.202565123287535,52.49033877132405,48.87495196101083,48.119751627072,52.26088782023453,51.87328847314343,47.54827259876815,48.95559332896782,44.271622494274524,46.86441461676434,48.13681366332324,44.9268396420574,46.494353885976956,46.35198161937535,45.13395259980108,42.64138353163389,40.919480530535836,40.678393862843265,38.24020382735858,35.975950111859056,34.74103854945521,32.34058102763256,30.460574822882393,32.579025195387416,30.490931600214754,26.235035890491158,28.06382913011437,30.78080047059089,32.224718599671505,36.20347075560374,37.932584270684906,41.46110345088079,38.083235113602974,35.34439856735968,40.46666428552316,40.611186901966875,37.53917688378691,39.497217377785645,44.251652780995485,41.839563440874905,38.87077351172514,43.172097827578376,45.95692870734455,43.4236810048562,40.95806218481649,36.916094806368626,39.7531861433674,36.12207682702823,33.45305560425624,30.648649528247617,30.63561128791875,27.106977307309894,28.530152104493826,31.837550397406215,35.12334142869331,37.03146798773984,36.853630718349514,35.34226111947335,38.66521818364734,36.167721949333576,32.19837604638412,34.812035710331536,33.78520710619279,33.811385676281596,31.4537947996142,28.40736836328429,27.98834850867022,28.506838002948967,24.404140779064942,23.42415224514883,22.75088249252478,23.63013022509313,24.624483633066813,25.23845064801764],[17.631094278960767,20.62634161239826,25.54848672531417,25.515482708077574,31.47706655715293,28.66504808085093,32.140362247377084,34.25692977013181,33.19770195387348,36.57745536540395,37.91092951491235,39.189205083097235,41.75288412995963,39.974277856664116,44.108504469380605,46.127169753333426,46.006636220342344,50.355470451794645,53.06330436443448,55.72129393101202,59.149172563162026,62.97520192296686,63.65247387289394,62.95124797089915,59.782012422099996,55.895023979407576,54.106838461994855,50.27471759533046,50.49743478684719,49.26166834432402,51.525018101370634,50.37516328130258,52.83015889936001,57.23088043467021,55.85616231283536,55.028206688320545,53.68999227325336,55.552279160010556,55.52571715476164,61.05248899645901,58.09661556869825,59.24492544546277,63.68058585452224,63.114722145336344,63.4490512836579,61.956919159894916,66.09439868435096,66.55170956617718,62.23145734351108,66.13170299014338,69.49173171220885,70.13607474979075,71.32287390709665,65.28126152462161,67.80071405851747,71.76137090877364,69.52073921959546,66.11971140792274,69.97326350392876,72.8222831743272,68.87542080244046,69.26691904701285,66.91920900992686,69.18161184402801,67.22187413838053,63.29566719481624,60.34343078532272,56.829255630437466,54.20190080822857,51.16186028010828,50.424001620535456,52.00333211731863,53.92800056386949,58.10265143695133,57.042845092287564,63.00808377741319,62.60566165632468,64.5738837647585,64.04605282238157,65.6550447535922,63.18837767008656,64.5320747166649,61.83812769549561,60.98235691407548,58.50231733532811,56.912498273206864,59.365337278550136,58.98489988956737,59.34773602563566,61.05253738612145,58.80282014814422,61.00165780811096,57.014270831259346,54.30904835521358,49.87537557187175,48.995359412480724,45.0522141811049,47.47139038149063,44.59817172200039,44.02642699378566,48.294303367377104,46.439986361516965,50.26837964979587,47.728109945673985,51.606762480028294,46.746097819934604,48.131480260861885,47.37813774668776,42.84134440702777,42.91563184546223,38.77072073628194,41.06368528591707,37.878677707524155,40.07603612741301,40.82253176377245,41.83189269682661,45.26491639756423,46.277887367892454,50.18757624387353,47.890578015239974,44.93443395143697,41.83522626659136,40.229211093079954,38.115203861183055,35.439118860645415,37.922246038825705,35.13266646832559,39.42085014968687,41.14036084473949,45.89791294581733,44.964586178137615,48.6442699621225,50.73788257708986,51.45775384687127,48.60904470601207,45.45185751533449,42.474047573134996,42.61124021734909,41.89343373369131,45.13097218181535,47.221057225910116,51.93697542047519,51.175712508228806,48.744773417710114,51.64780846885093,49.54039494514588,46.599998431075434,44.8655714962441,43.591668433675345,39.8311122252121,39.50897588151246,37.303661232596625,39.88575837400055,36.403748731606875,39.506171320378236,42.16185587870923,42.29554997193483,43.16088602572946,45.50467261674057,45.46545786193964,47.00898780435766,50.34156182577384,49.61946524069916,53.86133678423619,54.00571496410303,51.99691263394715,53.042418231712894,54.31623523425656,50.97392316127693,48.2864657981769,48.51381312028553,47.76406683478652,51.020641923827945,52.08639142384491,52.690610793354985,52.56182409075992,51.22980335986064,55.78002713746517,56.497663614233666,56.83487064008861,56.40263234513048,51.368631954079504,55.732639967496915,58.32611486936714,56.263320799866335,59.95022683382706,59.2852337850239,63.44547022329938,60.61935418525336,62.2180600605108,61.8236299115046,59.39994404428578,57.51538517886935,54.64529454406669,53.96220170305468,52.74347696050123,47.878836752312985,47.63983271175,43.63622453381064,42.532341375116005,42.192726808466865,40.3936875102914,38.24373397506732,37.27566830014796,37.34254830586421,33.84875896410927,31.861899694311685,32.82397244953551,32.3711410989503,27.787847648581213,27.20136907234034,27.230798512652846,24.775592502893446,22.501763370341305,23.255370714363593,25.821551133744713,27.24757120434711,31.28566118807151,32.569694920403826,33.32117706141629,38.50204925500701,38.56187196812263,43.523446503323534,45.47140674409136,45.531821095167054,48.72184510420977,47.92334493569648,52.327712690304,50.196256985259666,46.05387431743118,49.97311386957996,52.88778351116873,49.00053717167882,48.41278644608871,52.55167653902762,51.67590779195382,47.26812837963783,48.96353877732027,44.46965976932221,47.67323290442525,49.05889219912598,46.086271407435014,48.077354009504155,48.23164019791542,47.182659472185776,44.27494939222338,42.76108439461573,42.98006281600618,40.335842234319905,37.73155357801086,36.97225566368309,34.7742529818599,32.37060152138828,34.49132515170796,32.83572064654353,28.498801133621875,29.692502564360222,32.46157317914273,33.48267948500555,37.60638961421247,39.35688295175513,42.65542612547025,38.99142182031332,36.10756485278117,41.2394527625437,40.99293833080141,37.7290968098467,39.678976643883416,44.323498360335115,41.44449666917282,38.41149953617789,42.85741855645906,45.446583099915955,42.499806819908216,39.97810087530646,35.87861574355477,38.20283710722495,34.34300799475507,31.958412542083845,29.310194640151046,30.034435577633015,26.802558916263308,27.40445879723526,30.879443892064955,33.88817544023532,36.1896003451901,36.55573129534417,35.429485486054666,39.1206890307609,36.74141549678236,33.0808837535151,36.3629032072163,35.58538671967817,36.019904037421554,33.11800590588677,30.062109747715557,30.329113714692994,30.674244170828796,26.02459148955706,25.443623413186238,25.498322145094942,26.55154560830014,27.618313402636836,28.195913816976432],[17.505065088581524,20.26520566877113,25.035166710092746,25.325412731358938,31.2293917730951,29.15860829318886,32.84377915051643,35.21475477944571,34.57504359291907,37.948049938224266,39.60311193065881,40.92742028762269,43.15102530401828,41.53213751509424,45.870521775402274,47.721792737548924,47.343041759997426,51.7845601734435,54.38191337315404,56.90176375142346,60.32005007301,64.01384576801874,64.69116456798966,63.819398308346415,60.60076104318153,56.84982714271369,54.966925537410944,51.25039053089877,51.6872121568343,50.53927155871067,53.24163957388864,51.919795931166725,54.60593343639828,58.987422559854735,57.362610580779965,56.410127306914596,54.898740138306515,56.55197424158414,56.297657632294495,61.642169463238176,58.63707261396673,60.08783773246994,64.47189213763923,63.68530536618212,63.91713695544422,62.19182252220662,66.29240521846653,66.93159131720797,62.480522007792096,66.13278213105956,69.64819849240125,70.2802897228995,71.66990273392264,65.70071954594667,68.22572533796537,72.34627576212945,70.17262895823427,66.88715528653849,70.83598333347193,73.62588344262785,69.87604228393391,70.51569773463456,68.33297253226756,70.58418853589097,68.43937304728513,64.53679364848794,61.76994390014541,58.35104750053702,55.78645126260933,52.9344642831241,52.17848614210216,53.94578182684076,55.87631225372986,59.88942070072523,58.821792970336034,64.85396701953485,64.17196784360146,66.2550917809567,65.4987299898273,66.87463419510944,64.29069696574629,65.39993105053313,62.63698709134587,61.55162097946691,59.034143258461214,57.725230396309925,60.35693334335864,60.14541240201965,60.67643939723427,62.650372858140955,60.52413393470832,62.95186827908858,59.01842869408167,56.32526487989684,51.80779239284586,51.17003638228588,47.12195529529143,49.36898162872684,46.37360755655204,45.77827448441287,49.78700048571985,47.60041985457814,51.32087160917017,48.431061599127915,51.93913341315882,46.96444296640759,48.08532825604772,47.044522915967555,42.481229041129275,42.92202231623084,38.84463490652766,41.35562163347109,38.48935137857358,40.59733717963488,41.74897019195238,42.58082319068769,46.20104135125652,47.02550965190399,51.26836976959569,49.16420493314346,46.19228839103717,43.07982889375952,41.12445798443023,38.92131406921828,36.194590492698694,38.2045505231413,35.28791889411793,39.41057922015788,40.90166418107927,45.716708532348,44.34496678965653,47.97133720185363,50.113816938344705,51.153125932865954,48.21998552541269,45.303950161662776,41.94364312242465,42.43496746251614,41.9228663129152,45.33595308425803,47.4468799611306,52.218924459136545,51.74009455962651,49.256187386617725,52.20669652779636,50.34724923934183,47.309083027845425,45.70262533135375,44.304528574402504,40.7491543003056,40.2958048031661,38.516818018802624,41.05848080368828,38.01279149795963,41.22114231633487,43.60089844358787,43.639647166983714,44.15899707126303,46.57777484197248,46.064341376800336,47.42229606449348,51.01582790359562,49.987789295187646,54.28177339351213,54.04482106099553,51.866169096619565,52.65032407060744,53.73776799018227,50.24438739150295,47.788836485769856,48.06898040445341,47.645146236554595,51.03521149799748,52.28347027687919,53.13098708712782,53.115736640672694,52.096736078579035,56.580816050150034,57.09512053332391,57.26289429363084,56.58670589858912,51.500510022259284,55.57708607701378,58.03177945677427,56.05158622664464,59.97267455729078,59.54751933155373,63.4870104580043,60.566868436149306,61.96902896840301,61.34800978799228,59.000387595702435,56.8678935647202,53.92770699589859,53.12157801362812,51.67089171965154,46.87465035837914,46.55632043542602,42.42955894668144,41.66864201653922,41.02656257117501,39.58407675361009,37.52566586893754,36.05726859701365,36.14373822256524,33.00473789722793,30.6615402581527,31.349960653585953,31.268234339842074,26.810767413666802,25.749850653627533,25.72900499046294,23.85358389746777,21.299942015967574,21.36910502349743,23.79181378883768,25.12734107742898,28.796285334253074,30.438959819262468,31.153389789303663,36.20438900653579,36.32023227114824,41.211460572987136,43.45581478511018,43.70122545288858,47.067738026964896,46.56234113944335,50.77984000059219,48.36876856698545,44.42114330763056,48.500245150806705,51.09373424241941,47.12863443985892,46.801075484696455,50.97469281730177,49.74347729872348,45.36178322978563,47.490462181038005,42.99868514990107,46.619772845388496,47.899981573522545,44.94636176205282,47.22249777153358,47.403127779026285,46.68512602970866,43.55828278843079,41.93616210978196,42.55540110703145,39.995407248104755,37.019003765214805,36.45213399552866,34.51458473364576,31.790194178576638,33.61271431694986,32.245547897944924,28.05171866145449,28.617428022623212,31.237340781560608,32.03634725545882,36.22868938498686,38.14924669878388,41.17039785248323,37.24581256109478,34.5298806488817,39.64691564706952,39.02966259004084,35.72741034952053,37.88969356420536,42.26825628911502,39.07623102459088,36.25526292512394,40.84573043662045,43.10933314557066,39.952573842866556,37.580724029981404,33.630566070682605,35.56802362392014,31.78079585825172,29.29105164370214,27.075142446418234,28.152553825180483,25.397223299281087,25.69477719716822,29.187092350704713,31.922396628726307,34.48862450886564,34.95566958337129,34.39277717036348,38.2356226678938,36.26638204719992,32.59969604684478,36.152161708012315,35.30286043918413,36.22396450269129,33.19240799297502,29.844409176057727,30.536893395758,31.267535232490232,26.221945529731123,25.45947350249466,25.99494855638465,27.123096099146302,28.143581291204647,28.67973760520678],[15.572073386793155,18.039705371464148,22.766615764131988,22.24824023531338,28.312735056221296,26.245068921040495,29.710401679131373,32.33091547103513,31.400953666427633,34.49976756991047,36.19323711833689,37.80915833388237,39.77957462064435,37.91504454052856,42.363833490198466,44.295888171771864,43.72762651208407,48.09704649691549,50.51702593100084,53.15763872926273,56.479443038270304,60.22977636435935,60.791389303979415,59.88970986524045,56.738069794239394,52.95496792517999,51.20408254576851,47.527458601045915,48.09365727964995,47.14601976394847,49.78114620872202,48.72510640327863,51.49692057126473,55.7557476519611,54.09170777195981,52.957302652864925,51.64401208294097,53.06420465036208,52.78111969607251,58.246420062146335,55.047117932057205,56.3941106239435,60.80095002997158,59.99718906694917,60.13239792522221,58.46719602130718,62.555057426831766,63.24203161191316,58.90626097981941,62.602369602570725,66.13524604089199,66.86300355037913,68.18788583555634,62.23723856534032,64.90963662278334,68.93229913159281,66.60937509964674,63.396729083835595,67.41770606508966,70.06721880475168,66.22171595852777,66.89634845584614,64.75633594726534,66.84463120095137,64.68515309618807,60.860146772478444,57.94743654966106,54.61957229695242,51.91486984329971,49.15534565699375,48.283675344683694,50.024761169989226,52.07852799392501,56.04611861310703,55.147036634033356,61.23302505797535,60.57928872408354,62.80850280767862,62.07357137759126,63.448367711838294,61.01654412383177,62.13207474648715,59.57293336122051,58.477657243990194,55.79837578899229,54.47934804276286,56.938105541645385,56.90926867814,57.199045410531554,59.335730468850265,57.070344283555336,59.485362700490256,55.60024638974923,53.03856648549699,48.47218355229389,47.87299610378393,43.75501597075148,46.264222722183156,43.37976851881292,43.18665427011698,46.93853205487546,45.05484603753495,48.5082846243944,45.86194502503941,49.36316083740454,44.42258079220147,45.85491337278393,44.783479391368374,40.237541737094034,40.61759719537184,36.33227149669241,38.466458158435415,35.40369364358203,37.258512875414475,38.194663305536174,38.8743906999195,42.42804838147423,43.134413116768975,47.301256785563076,45.31776652171485,42.267949451515214,39.23497796772803,37.210918157521135,35.15452668334969,32.611897174901664,34.790237904858024,32.318472429413596,36.444744916232764,38.20006632912676,43.07004492805458,41.79995472044605,45.632970911182625,47.50459814028432,48.54731199548154,45.358678354432136,42.25493740121168,38.965206035491285,39.0975519680968,38.34393148939817,41.754251798324375,43.6426667196459,48.4078704376957,47.93471215228969,45.56332388665279,48.594700043983266,46.80445504681364,43.769370283572286,42.342226133767106,41.16859738355376,37.66258926070373,37.587397185834995,35.84273922977446,38.78968940778603,35.89918966746865,38.80517399367189,41.06231207552632,40.79433356159584,41.46747109325452,43.580043065700444,43.208386754099095,44.28062857391348,47.71045733777024,46.53863709800966,50.916121345076014,50.724354013526785,48.42564505452162,49.44878623044238,50.49221544051087,47.13861788668071,44.51399557769986,44.92187484825456,44.340733263420695,47.8523185984077,49.17869399814845,50.046796807952354,50.215707692677015,49.0396391189897,53.725964038889764,54.070751839795314,54.4065335753221,53.5786035824911,48.69528428245425,52.82143739454858,55.24163883109659,53.08649010354788,56.80598995303475,56.1988347588937,60.16758149817094,57.09757067770069,58.6860482980205,58.180147608793554,55.914932848352315,53.956161109678405,51.13886810306396,50.532897245500315,49.31026160828223,44.465060882721566,44.45073202625319,40.47348835956307,39.696055489764646,39.531947231263786,38.07004709139095,35.654792896804665,34.465512464683684,34.991018014613864,31.567296274151943,28.896952612865647,30.226752509520306,30.504835141374283,25.46161598301264,24.647092301202115,25.24095217369039,23.04252504545696,20.03831644793288,20.895134279649522,23.019774468186213,25.243533479583007,28.311098222756847,29.90553484122298,31.14713994893039,36.27651756682831,36.89918701797637,41.484819673434906,43.67860139565403,43.51575082753504,46.77687468217341,45.904456566339874,50.15292087471237,47.90828370792537,43.52729803945762,47.47682641055344,50.211573549450165,46.12594318861755,45.488875642238455,49.552846422985596,48.464248232774,43.99131401501236,45.63694167450179,41.377691340575055,44.911038002153745,46.484048470679134,43.83261631722316,46.1126310103333,46.681077866039736,45.58784838530774,42.31806034467481,41.23836086978044,41.777250696141294,38.79674483837138,36.074545057631106,35.89402167352019,33.82207134122533,30.975180495971124,33.39059876918884,32.212652896747365,27.71250523290017,28.56996539623831,31.589629157388217,32.10280373418675,36.2306745612248,37.70644296188424,40.93272279874588,37.291652389840095,33.98685101790368,39.02490741826251,38.71133843897375,35.29521775323909,36.92435957061671,41.66398884338391,38.64444479390593,35.31220444367315,39.69644572031807,42.38530151360988,39.27865136973646,36.55414478247493,32.315104651586125,34.52589794563274,30.453709387280348,28.47994480063072,25.591633221117213,26.70413462121294,23.51749984873319,23.54880498878473,27.075060772002143,29.972625073285663,32.397143770396255,33.17360995420006,32.120306591372106,36.02575569712778,33.65719805910594,30.344916470684655,34.15277999392153,33.717752123333774,34.41724579179898,31.002183541484385,28.12882047024355,29.02939409430405,29.041134870324044,24.028403105812483,24.016944032718836,24.776149106248496,26.021251755420618,27.247273099863975,27.883465362217553],[15.462706000513753,17.236504142118342,21.524312581026592,20.961283288415316,26.907819038162376,25.96764340804182,29.513885871343085,32.578876078041546,32.058043480624825,34.937480605710746,37.04835095337813,38.86016042535409,40.223734247847936,38.4532053758966,43.17671237270716,44.91600268158086,43.90481199414175,48.31393254251974,50.46214295965082,52.972657752831054,56.20287727658885,59.78927162676361,60.28020043824812,59.131818956231854,55.97160001059446,52.37569727612568,50.58859645883644,47.121020815190036,48.04813444551378,47.34224160895131,50.489770333757185,49.36960225273666,52.46349600237418,56.60092774001472,54.60385025489589,53.211061774193354,51.79377790782134,52.789606337391895,52.185022946067086,57.44620318556341,54.07724012226468,55.76578783236583,60.09438298799829,58.983542027323374,58.91876559522296,56.975936502134545,60.98771839212335,61.95396683023161,57.52717797486807,60.894727714901435,64.6414297001793,65.4131504358653,66.96955299357042,61.14917421298649,63.908521742694475,68.07091803559898,65.75684564496572,62.756712574614056,66.92989094193908,69.40760823224052,65.78215173912032,66.80207777867675,64.91183264677113,66.88199065206004,64.47956110519411,60.74957006218904,58.012062033210775,54.884004198631715,52.19819504864637,49.76110892422383,48.80443124272456,50.75854649147873,52.87557768539215,56.57993297973359,55.77466108817866,61.93978617461952,60.945544512600264,63.39470061528248,62.38076863691333,63.443629405606025,60.957547425672296,61.76228168714988,59.244379475093126,57.841997170366376,55.0283024265966,54.0894854448632,56.670248983397144,56.97190365029819,57.34156575385499,59.908233887159206,57.737215536548646,60.423266231835505,56.65782272947682,54.201659520212374,49.538295373892105,49.27186710291806,45.02240851847813,47.43145616409665,44.48031012586296,44.474589663218545,47.724014366348065,45.59661446653184,48.72912433269923,45.78335771396913,48.75621427136986,43.721518335630726,44.96838368841619,43.48867055829652,38.95390465254733,39.80394269780897,35.53162547757404,37.71324005468039,35.01087981567401,36.56268347369091,37.9168498345407,38.24948258014142,41.982808967397524,42.34837495603705,46.89031778991066,45.25861602476801,42.170179038657096,39.20282838723793,36.680425413805025,34.61927129723077,32.15925796507244,33.739174865583244,31.40082470251746,35.239746261624994,36.816957514537194,41.76161354955419,39.942465382435984,43.80662485648732,45.56301854237295,47.053016748889796,43.602740791449015,40.74486053234533,36.97184546008418,37.387316371984625,36.78115741209622,40.41105570532924,42.167866129553445,46.97670659972334,46.908545378710045,44.55162832603571,47.67706703547973,46.28328772867555,43.14168113388062,42.012714571844064,40.81571707846533,37.65878253084023,37.62792689320464,36.489999190519185,39.56716527749102,37.34812440186284,40.19067300235063,42.007069111930186,41.45226150722772,41.751848598208625,43.7671515153083,42.847830648178835,43.484095817445514,47.14480750211535,45.47197250299749,49.94382290462282,49.253478108761215,46.646725440547925,47.44869566053324,48.18608017589191,44.71899030839104,42.332921379778,42.90333052197745,42.69266603084086,46.44820888030615,48.069103342329434,49.278361011876385,49.71007688210349,48.86964720900434,53.55419969708742,53.52501481992555,53.73072660526743,52.48413667583887,47.68272534780654,51.417431842484724,53.611998440511876,51.472277992118165,55.374786129604885,54.98928382390156,58.65321708039919,55.371515499170954,56.79936892710755,56.049575155986815,53.95558535970023,51.76112242572964,48.93122926054845,48.2804929113189,46.87691781355067,42.1233806136387,42.194055842065616,38.15930260620376,37.874679740085966,37.5876036396346,36.63482851797548,34.14668813000152,32.42696369087409,33.265463900815305,30.211214097903625,26.833636131746626,28.178336801966797,29.232554977455695,24.082144313688957,22.743529954735216,23.67996453158617,22.166984003066716,18.527583731413753,18.872397101895825,20.484732889201624,23.189709158313114,25.18706759480363,27.286067511808238,28.830361592725716,33.764183670454855,34.79327605702558,39.03923125810477,41.60540338294986,41.44206403559868,44.859434893157065,44.170338894439254,48.1566242137729,45.63621504018989,41.27543489332207,45.348597038066174,47.7090185163141,43.444295041056186,42.983300870112856,47.01018817585708,45.505800752434205,41.023110295663756,42.97589664456939,38.893997895571495,42.952888062677204,44.552566837441944,42.13853142405112,44.79746475812882,45.63189894482204,44.769435323775056,41.14408031478385,40.255117973859086,41.27731311046621,38.194286643407686,35.1519008232691,35.46481983160338,33.68970936565598,30.388181670744125,32.718274495397516,32.054046712419044,27.65513045062361,27.82510721835224,30.829889128456646,30.852817033868934,34.97834142189671,36.39325093919833,39.33187191034119,35.54449440640854,32.12955205290576,37.043392531341944,36.40119705737301,32.88093169627683,34.44482352647411,39.005994218453914,35.66334782780058,32.31045724289206,36.74359835962907,39.23465823729667,35.856232700328746,33.11861827852484,28.915528387584,30.71263877205534,26.549218586099798,24.810840020299555,22.11716701356547,23.83255600237506,21.13468617876847,20.44671873216585,23.99856333631936,26.555192130738355,29.287756935492457,30.43927838304878,29.9110342766183,34.048997824349364,32.04324806029194,28.999925431339246,33.29988566903478,33.02637818725001,34.24112486046408,30.478946256290076,27.54584697241456,29.13068122580882,29.24270295315991,23.836867182078247,24.02626356708579,25.535170900857782,26.9252383062023,28.184096495547713,28.81352358996524],[14.963511871896328,16.021031943773583,19.841414368190335,18.73457654748467,24.591664652316574,24.324709720354107,27.723184333780743,31.131202191384666,30.696011077380163,33.26991967210852,35.61676195304022,37.66288615690124,38.541615686772744,36.725897227365095,41.616564933842334,43.268536588847425,41.9252721599784,46.297420403383825,48.20756869086917,50.68560179775262,53.813352157522644,57.32285751787695,57.727554680287916,56.442662166189244,53.31164154891533,49.814048536956925,48.06923059278393,44.74849553739837,45.928874518255896,45.456372471331186,48.84026563946528,47.816891556150544,51.112337638747256,55.10158009300853,52.91146529827751,51.29639041414149,49.92584947621516,50.5723962099635,49.784370285784334,54.978624584013254,51.43749557999406,53.25174650248039,57.53668702966342,56.26248824284255,56.0534777040512,54.002672879576046,57.9620803710928,59.08598929067227,54.67562935672525,57.89469603354006,61.74882713272638,62.589112437965056,64.22433666909645,58.49084871911487,61.36112280142348,65.53600198095027,63.16018845602278,60.311865837757196,64.58763783584753,66.90458421716392,63.357912717314925,64.57402780856725,62.842760730426036,64.67400747892351,62.139611163271375,58.5045986786888,55.81108099163131,52.84336451202377,50.125613209850194,47.92183686219994,46.880290280990714,48.94412789718335,51.12634420210174,54.644238280665036,53.95916557130311,60.16642776033738,58.99675712110529,61.62362908077655,60.47028407500609,61.361047576041265,58.92823311368605,59.569451306561795,57.185940156851736,55.62497006925585,52.66636314551874,51.92553606413108,54.47437958094994,55.04176170036283,55.33623442720914,58.20416849820444,56.030411934772594,58.852436858430984,55.192543414865526,52.86766013329082,48.15474183026781,48.100205300361296,43.774717617517084,46.228159975772094,43.31713371937622,43.61864672186967,46.43467359200644,44.35105256376307,47.146144837932226,44.1929871682531,46.86613256545299,41.8346206326155,43.15572595420562,41.45849878777838,36.974421958495036,38.026054178988204,33.68164300467261,35.64881316069178,33.06148108801216,34.290814322461756,35.75667948413779,35.81699585761381,39.59547873222013,39.71857434276585,44.415231781864655,43.03707371060935,39.9147018633311,37.037925410727226,34.21947488294434,32.238535595088194,29.94207112770194,31.25373831774068,29.266658618512125,32.90841965403217,34.53067388478004,39.51022320390183,37.47760994838704,41.457908596704854,42.98740735084657,44.69895670996659,40.98392078043475,38.161663511219196,34.19558269167647,34.55630841081038,33.90548824780282,37.63244099827285,39.207972182422274,44.021594458054196,44.166491581788925,41.877356475189195,45.077804126643734,43.93723219560737,40.75666557167152,39.889163392132495,38.806143649570714,35.89730418396281,36.09793021231632,35.324998297780134,38.65570769599816,36.910307705175924,39.52254679841805,41.014857155645245,40.14703216959044,40.322497397790144,42.10343592716946,40.971539094088996,41.21239147703928,44.889496165098834,42.88374473937268,47.42855777752225,46.505964414631066,43.687511499384904,44.50184887885083,45.06407457313824,41.62539744558649,39.27185306222042,39.991834513707765,39.88653349922913,43.81879900469534,45.6279746765711,47.0211721436564,47.68834638119215,46.94668910066737,51.71329490447982,51.39692470777958,51.62487778191715,50.084336795966074,45.459135350411366,49.003302673341125,51.05726131545551,48.83526161344097,52.70823874294329,52.341966602470904,55.856435902294955,52.40326571220099,53.842576277278525,53.03736618577795,51.07462515453866,48.86553003441434,46.106338695796694,45.55140875795589,44.1991175711741,39.48160707785777,39.78044776294183,35.8370289566761,35.793482805974215,35.74753559453129,35.047991824186816,32.32896075555956,30.535302948051292,31.803709698970145,28.80341719405728,24.90108638034845,26.657595370492096,28.315343574957005,22.856014594086062,21.444900853217096,22.940018612314173,21.61570172401492,17.493868993111125,18.09955471587429,19.167453220256686,22.6347420817936,23.64582685196956,25.90249680661339,27.91784446709935,32.72730384807822,34.26472241911062,38.0983438300566,40.766086996667156,40.33913692337736,43.72828043456449,42.898396422105876,46.75240873727503,44.22940052968496,39.63530305171947,43.652129466244524,45.91345285221362,41.51696021392532,40.942111567858504,44.85866526734565,43.26236173434686,38.741247437374355,40.51794817026809,36.696267152900745,40.92632858285559,42.70981730915998,40.618227267012806,43.44044459465589,44.63333278410452,43.66333210049173,39.80940718571745,39.354345589883955,40.55159412964067,37.20062392455837,34.19356452368012,34.978696835801784,33.29599358388539,29.755816685592965,32.363052852889695,32.0677518368086,27.629536302120954,27.644009862680758,30.821498517365804,30.43982437947063,34.453261491003516,35.54021463872936,38.43639435218833,34.811052125087755,31.015011743062757,35.7503620489046,35.160475001897765,31.563839387987567,32.72024127676816,37.38773978937955,34.050885261585464,30.3796476845902,34.64876963658271,37.31392930294874,33.88273908185822,30.923438549375412,26.581325271301047,28.36910819608609,24.00975564087147,22.78772254544386,19.72818834648838,21.749472780609658,19.07393368169824,17.791135105994787,21.324181601179205,23.788464623646714,26.552147568113423,28.091597605504283,27.518512275173848,31.774985058265894,29.734228867272627,27.100219518915637,31.75750423988071,31.82504174774719,33.15438669282582,29.04148208968707,26.423436175608913,28.459113454553542,28.200629262762334,22.731376099500284,23.478969636730987,25.463125583347654,26.959019963376193,28.328687222092626,29.010219221630106],[17.14529890308913,17.650416337825,20.93641702920669,19.307293561132955,24.945058616734762,25.38929846740844,28.562810701553317,32.271806607606784,31.823593874807447,34.02787697907122,36.526161671177725,38.836823294025486,39.27047980168637,37.30324693798318,42.326292726545226,43.95584380367703,42.26941785018561,46.535688332938534,48.10455628655159,50.63183301855536,53.581826731335866,57.041472884218074,57.27253270166928,55.81446846311331,52.78114198017815,49.38335995236258,47.78367196505412,44.65688216470746,46.140264080705045,45.96445575886456,49.46686688432723,48.647132020001095,52.09448354657444,55.91240203731087,53.58128119534625,51.72086037041764,50.476327982897274,50.71730527588967,49.73459320844213,54.87222028521408,51.08066115504399,52.98741717853887,57.21924217239238,55.748088624508114,55.30353187242872,53.13064721763132,56.99566005683504,58.37071261556256,54.036203785452734,57.040004012156324,61.048066085648315,62.006171255170095,63.72988873490073,58.12683261736741,61.159426454909855,65.3175796018769,62.82783038168476,60.1840958800142,64.58194472839719,66.66897109154121,63.17559663915348,64.59579776203185,63.02921105854092,64.63880460003962,61.98559310940631,58.4978483273927,55.75135327238301,52.99416659152738,50.14725314959265,48.19762715788743,46.99350072012706,49.06234158089729,51.40921655859596,54.753494077881584,54.30149959115861,60.543883372543355,59.281529720734305,62.111423454712046,60.87079068054419,61.613538266423674,59.29260955794304,59.77548884961789,57.58029993121016,55.85419856618345,52.72327006940688,52.194907750071295,54.649531247873824,55.52241905876613,55.65586874354815,58.82111192559634,56.582926634532086,59.465148296766436,55.91554201445594,53.75820131861867,49.02054080628855,49.09638721612886,44.7258881988304,47.331882252923485,44.514079111177125,45.13202936687187,47.577661892379176,45.60277950839009,48.065287578811784,45.150938566489636,47.513828641891614,42.50990091695534,43.880998452746596,41.94202179448018,37.541550551414424,38.8264032266136,34.4498099397477,36.16986263320857,33.699703246774895,34.53221957603333,36.02333363067342,35.7326876200365,39.489563202271405,39.26503024449149,44.038338984635075,43.01094747349889,39.813027305065745,37.108075318293416,33.97677492584684,32.20754619971979,30.20186923550883,31.263469836297492,29.766383004269603,33.145022700112676,34.800155348984696,39.784597399144744,37.466695256196736,41.54100391769023,42.80026274636504,44.811277431591535,40.78431274776564,38.03692467285138,33.819337079015014,34.091974984397645,33.32771685388386,37.16745173980863,38.36897662467399,43.163965089249984,43.610739670239035,41.47910506666149,44.78932427216938,43.96513562506295,40.76328192510784,40.2323068218792,39.326917724689594,36.68277040203286,37.149925572766655,36.67938797452261,40.22898661837757,38.82373502854379,41.22115927051556,42.472725218401834,41.32146870703879,41.430258433616515,42.945620804918896,41.65088413314462,41.44275141927828,45.08365139511482,42.67363048519142,47.3042701493221,46.095574917806154,42.96019842876814,43.809225813712864,44.06614968173023,40.683429291215,38.41224938746934,39.37670870625298,39.427847712781144,43.595037026503675,45.641118509111735,47.24392992119566,48.1805371769442,47.51616364928463,52.37230573249374,51.7473896631851,52.01364668155936,50.1346148292567,45.743962103456035,49.03604621162356,50.8968240853588,48.58213630898956,52.3994775044366,52.03763079724546,55.34502075986491,51.624681396784275,53.098067973271164,52.20284038280713,50.4578960087516,48.214082299547854,45.558695869655516,45.112406277414905,43.77502036677056,39.15489297738937,39.69986712042048,35.853668536463665,36.167353027689124,36.26699426604207,35.90989168749787,33.034322058796405,31.050680071926443,32.693772777615905,29.88825747228378,25.477185147735337,27.47410440169207,29.711629977713038,24.162211612091635,22.569228371069016,24.423049779006284,23.44488659821546,19.03262792993179,19.528191473829473,20.06150500212048,23.96278914470408,23.923955285379552,26.523429127862244,28.85729295523479,33.42375673767631,35.33551578915528,38.7993388465826,41.6858629122153,41.16235513181942,44.58520665038704,43.77366238602206,47.41790291414411,44.78278481969804,40.11614872316677,44.120563223982174,46.133160980491205,41.6030229741834,41.04692045321229,44.836766276907184,42.980032803526115,38.4665540391061,40.24140231413773,36.738735660716024,41.25701321609026,43.168966273570824,41.386708997203996,44.41169272166696,45.88343983353281,44.92313707877799,40.86350401105042,40.717014446676004,42.129446493852555,38.62924840028149,35.59405437148555,36.74395619551344,35.192191043046414,31.47035684591875,34.14628084856435,34.147344071111455,29.77332838700399,29.537411294924166,32.717797338994316,32.02141614941136,35.93794234533713,36.852604313304546,39.584609952730574,35.99823349878823,32.048228079957816,36.578884025222884,35.86007764744353,32.2244444156719,33.123298603369264,37.69504907800156,34.20165562744682,30.407707299390832,34.54869563133611,37.160395135686485,33.54465419484007,30.489149613627,26.153163497191635,27.561028455621575,23.050438590137805,22.414869077829493,19.372343655120275,21.940092012150004,19.594324874671106,17.51091277229272,20.9298602925804,23.045397987786693,25.971122175303137,28.016265221853146,27.612232660750447,31.983308164174712,30.00609889450687,27.843902068909745,32.81293410716268,33.157086990070404,34.62531771032421,30.250068924208936,27.899677372818708,30.29105541244188,29.768703828078817,24.31595768066001,25.4423758513997,27.733321209539856,29.26544749022477,30.66330924826433,31.329020090083798],[19.307251746327054,19.178147320381584,21.712365771404194,19.95860907543441,25.077606111972706,26.54195923552383,29.56228972084294,33.53075308480971,33.358500806997526,35.25617031356665,38.008735582845794,40.46380978468271,40.36800515576431,38.46944350880542,43.60919921050575,45.07346567653732,43.01833237296669,47.21279269559988,48.47192561045758,50.88252675057962,53.68072456566881,56.96828561821083,57.09666344241454,55.422101913863315,52.442502219950704,49.25609111324557,47.691877010104065,44.822555541408704,46.62865315094258,46.70864600003097,50.54642867583562,49.748085830122506,53.40894338169821,57.057198092129894,54.486345402378575,52.401666779948116,51.13617907346565,50.958710228912665,49.69948979672867,54.61046697795432,50.66120117775046,52.82474636424248,56.93781529761396,55.19707119133189,54.53668011499507,52.13883147460857,55.88012408880181,57.5296948533806,53.19116257923255,55.85135067954094,60.03445345226989,61.05684580175609,62.96317036439459,57.542690838928785,60.66365530116861,64.88715422416006,62.387966809235714,59.98110459146607,64.4890471475263,66.3688868750283,63.07637340895963,64.79141542069044,63.4608474698222,64.91293526922378,62.07420071947195,58.72750621428153,56.120918209693826,53.59359626639738,50.764567511331535,49.13460039291171,47.84981216377085,50.04135178743432,52.439947165492626,55.516832798609215,55.19272545121419,61.436475154406715,59.92195850156447,62.93412567782788,61.48630852947602,61.9622791739624,59.657367219406915,59.868626320065594,57.78111012847009,55.80405169580655,52.55888976217811,52.372812331681146,54.85775993662625,56.04303614762661,56.18461469334098,59.69838837290346,57.53057532666559,60.587686385415196,57.18220960795467,55.16135090505495,50.40993888055299,50.73823639086461,46.3328782901662,48.87146409374802,46.07569846028517,46.88701773846263,48.87415690415037,46.80079409545627,48.91577194160808,45.8578996173228,47.72713325379932,42.747107547152495,43.988814582307114,41.71368729148433,37.439825185779156,39.10500334475991,34.82618276007336,36.44753536188213,34.33169518954786,34.79875914252882,36.56126370094028,35.92072567082593,39.71857561570896,39.141928636679104,44.132889342143166,43.47778826706474,40.29433344488631,37.743003517527086,34.236823878885396,32.57666425748858,30.78395983858845,31.287746256605747,30.108559794393493,33.07978899987958,34.57608788250588,39.50609981469149,36.73084755141629,40.79220282886863,41.84031930005263,44.25617176603235,39.98655220600416,37.498574955151796,32.914876210913,33.36440650504387,32.696513464094146,36.65668332665797,37.6101760413368,42.34746136109353,43.193636983227066,41.157447445255464,44.51622156258684,44.09342681788757,40.86557514593849,40.66180984487934,39.81364112190139,37.5501022395422,38.11784816022946,38.14011640559379,41.762057181953644,40.886109889871996,43.145691177583394,44.03791639285764,42.64333044657618,42.48700519704264,43.830515789826926,42.136695702194224,41.48116929911467,45.21208153884433,42.34914664362542,47.00486158800458,45.35021278823923,41.919314148227826,42.59738756621333,42.50707576915277,39.10107250370463,37.08284004776021,38.24728040644381,38.63877510263285,43.00080701548753,45.31218657973686,47.20521785889812,48.400591463967814,48.00173773750889,52.82086273146649,51.84738775611027,52.03226080376209,49.768117233519035,45.576525061712125,48.457813823718645,50.06568936093369,47.755245155555166,51.6416691142826,51.44683029830305,54.42915055386903,50.498111956740914,51.845489492642585,50.746186039343414,49.222297422004246,46.81723571802104,44.22482938937704,43.79563365640975,42.35229775445391,37.90565786613847,38.61018739799883,34.8394748415285,35.64836950688454,35.7321414609279,35.86973889646919,32.94831682522531,30.580806279267883,32.565619465828824,30.165990878295624,25.216168149770905,27.271967387908163,30.197821357629888,24.76273603541958,22.84363799377849,25.004515441679814,24.625523130800733,19.989107654562336,20.112609839256603,19.98052735417973,24.227329066533912,22.896943208070407,25.908228859358537,28.54283307281406,32.730394586533656,35.0605341243437,38.041568835738005,41.20462287055567,40.624640102042264,44.101116230831366,43.414068016408244,46.74541531903362,43.92614114751794,39.29846968579085,43.30972338115835,44.939517596319824,40.28960791938128,39.859855317824746,43.50959225636557,41.27669177276017,36.820918472135865,38.77180989829451,35.60525038693853,40.53087190825603,42.490195033460225,41.03330535830351,44.33931807532566,46.079061078855574,45.274223194952015,40.97256566035975,41.08638172520879,42.853945982796304,39.293145223922075,36.12155792679415,37.6968828252453,36.40443628942091,32.4446241271126,35.03495286494727,35.4544467268416,31.28160368133326,30.575733904070958,33.661378675431905,32.5555260660745,36.31818574929947,37.08446052522852,39.51565358968192,35.946329437312535,31.9382739822324,36.175509137538256,35.21439404838784,31.579559413191046,32.262571783341336,36.5834378070686,32.87859974532989,29.073161493994554,33.075908170169754,35.49419198686663,31.66882211767175,28.595708891346497,24.38971078106031,25.252687491105632,20.685463028867627,20.656228860883083,17.870648080264942,21.08125526054955,19.4011918286605,16.450165221488174,19.614948011139234,21.167735535337552,24.325327108445013,26.859102427347423,26.9295450541665,31.384255936518265,29.752255542627456,28.051621224529157,33.308590387127694,33.856137426673065,35.66101163393786,31.096149675370643,28.894422182400085,31.744973285860752,31.210397061322606,25.746315527410225,27.070076048472817,29.784729333648677,31.357747135908063,32.750185645034314,33.393551387370394],[16.971103128407755,16.06560843901807,17.8926586258847,15.574138580782764,20.418867592949542,22.3660518753336,25.175937539432404,29.311331854066662,29.30915671782923,30.998083457272553,33.94336072791564,36.44596291504348,35.986924412901054,34.242998695103964,39.42646904613374,40.72312441456636,38.51134090806923,42.7173872484121,43.97342778711048,46.225733991312296,49.055682669080404,52.24774448779496,52.46067154931511,50.784219428320334,47.73177695307734,44.61169537876639,42.93531209483116,40.10923010913892,41.977185973558896,42.114640758502325,46.190353409888885,45.32326816676532,49.11423888637615,52.66560327717344,49.95156897551571,47.79306242241852,46.472973628766674,46.17218689956507,44.84037536270668,49.6870372131062,45.766683442615815,48.01600015500555,52.10255261456142,50.34477116066469,49.751593961838466,47.34051495266088,51.12125249275052,52.69108182977808,48.296733859736236,51.00318934420389,55.149448062423296,56.13972881534807,58.0446465603354,52.608670709479085,55.714744225485425,59.95336842912143,57.49053286229828,55.086622619114216,59.5993079010935,61.48752997914271,58.26904314391811,60.05491706097267,58.79628364963604,60.28748758353043,57.384329761225075,54.029692392632164,51.600504774014624,49.10518468162045,46.429218497402346,44.91704369076023,43.716943308829265,46.10434321839097,48.35665749951968,51.28049826347483,50.85776176666263,57.076169968245345,55.369522166932875,58.41557525886267,56.840688183333974,57.20018402352228,54.868965887135005,54.999873563214926,52.944023718502905,50.915889644549466,47.6395403341502,47.52845453256808,50.042752612990654,51.31197859304537,51.51174478789888,55.159300498208076,53.088392049763094,56.29111436162633,52.968757664525036,50.993082045026775,46.2437055862063,46.795936550053376,42.38106491940783,44.75913269680346,41.97164271762987,42.95362362160499,44.5678661216884,42.507206308496734,44.36962633661919,41.33729620804453,43.044670192524606,38.115009081023146,39.483506667765205,37.167979761443966,32.9586148008007,34.63656048290051,30.32032819500018,31.731872190225822,29.714105009977047,30.009333369918952,31.913442879994463,31.195566721536338,35.05619183765525,34.48134354349895,39.63253383745981,38.99237341132445,35.89733386943668,33.33136712422671,29.709374383825075,27.95687228522881,26.174835036001454,26.432609895681303,25.440848863827473,28.269317535928458,29.838676146229417,34.75661931987949,32.0366873234096,36.199979118532305,37.1045143235426,39.48957953627822,35.127323349595756,32.583721071020506,28.03516568897959,28.408269914760147,27.77829123786247,31.743085191015723,32.83831181177196,37.58693578907964,38.41392703944737,36.31092412594513,39.64085372724597,39.28305722181463,36.04575189046974,35.92150761483464,35.099087737590736,33.026677376054515,33.72894126730518,34.053018369270795,37.81281177078036,37.39769723166658,39.419466131685596,39.995892112762654,38.38739448968018,38.10910573308896,39.29473677740504,37.46642937140395,36.619791890602954,40.361056726356374,37.42170743567161,42.07173449866793,40.39836711003027,37.0068234517707,37.70860254465874,37.72187492938891,34.33016363436957,32.213890867318725,33.34610632019569,33.68463319375712,38.05208432560076,40.38828967291166,42.324623785819405,43.611595320205524,43.270363980713924,48.09577081485362,46.99691850398806,47.200409930425565,44.85404212870839,40.74812575481627,43.61324651145423,45.21704564162448,42.85303705923359,46.695948664142875,46.49410615929384,49.49262930578678,45.61394335640774,46.97230213285353,45.93541660543662,44.36025196561387,42.03568488107242,39.47077725247255,39.130861850766905,37.854553292302825,33.35341839140657,34.242806851870895,30.624092252151804,31.365198708461755,31.871074503158713,31.988179343518894,28.81846178872851,26.7455630203015,29.111444660384404,26.551240334494953,21.394374175124,24.06086538199237,27.27715309135812,21.56069878072649,19.97053035528181,22.710549196526603,22.1560388955121,17.39575164765361,18.337898234747364,17.781035441742404,22.743174218765162,20.979027078718886,23.555147829443882,26.648465056553587,30.819053378254072,33.579388181219606,36.19799071649773,39.08522461411059,38.044090484982206,41.29710666840122,40.20642383471056,43.57197837792208,41.03863520533985,36.0166433855028,39.81447653219308,41.67862084270243,37.01917069102971,36.22236139136443,39.75951948712284,37.8528206406799,33.342047023943174,34.71288726276859,31.71493147421646,36.41623153910065,38.60282562947922,37.41987769851979,40.65720315222377,42.72189954697526,41.60652171261425,37.23908243306142,37.85798676371086,39.55388149622944,35.70322728689977,32.81001861404949,34.76291424938336,33.457249862271055,29.46769989572448,32.50020029939749,33.1568305219931,28.945518060803593,28.44339354495204,31.77763949499795,30.409944177996557,33.947084645339864,34.21702600485019,36.814905408542316,33.68750649555042,29.166917011936487,33.19653780845683,32.67717641853433,29.0476216157979,29.104484242739797,33.79763443856372,30.540277744694635,26.210439311124112,29.867838026151265,32.84748085569811,29.34751462511813,25.9093210594893,21.416439966685434,22.99369548645201,18.292739627771628,18.765532307733622,14.983687975611856,17.86099018641483,15.776109391931431,12.585570096518046,15.64384307851593,17.502770729654806,20.312201249985428,22.99908042273046,22.541084753152663,26.973904350776436,25.108926975206117,23.78482739193584,29.188711346264355,30.09753349520452,31.810400822097908,27.023419274726653,25.298679070680365,28.412859716787445,27.426375690046036,22.169008337337857,24.09316058855076,27.112187389892693,28.74675924159894,30.25830339923733,31.009129376575604],[20.843788637541785,19.66998557785047,20.9609901569881,18.027964973587252,22.301068818030764,24.861591805031495,27.208142705288022,31.56476257989144,31.393098103751637,32.53306727146905,35.53264349092699,38.36009174474006,37.39231140923039,35.38892007056607,40.63057656844185,41.939697684315966,39.326316462663804,43.28989843186778,44.03577871593539,46.39729884925505,48.92689207912563,52.065206333080255,51.99782918922893,50.1105457534127,47.25146705466283,44.26733084801176,42.87646300295093,40.35027470269894,42.60089113298342,43.16084654448978,47.22241087665261,46.72231347473826,50.623275177578236,53.90751635241498,51.09024423045151,48.62393341862264,47.56456859362156,46.71977302525823,45.17530146720349,49.95656069081235,45.68350630220407,47.95751610398359,51.950316513008666,49.96268070934014,49.02131128926174,46.50444501819943,50.119373562121474,52.03288627674774,47.83822575275785,50.258157897388934,54.57999451816278,55.76431409632198,57.73402734761586,52.511052968197305,55.851995296608926,59.98661444295143,57.33514573974402,55.229749740333794,59.872392041331516,61.41049520660672,58.22439711230225,60.23544885679057,59.18106714300146,60.327414901339274,57.31382477514813,54.19991736258706,51.63769804866072,49.45604513503964,46.57451739420354,45.406984747015436,43.96981343353854,46.27956805280126,48.76998730794546,51.45881850771185,51.40252835615209,57.615966952148334,55.871856895593396,59.16963584003531,57.54939474362183,57.76095096055417,55.65335678915411,55.622476854745095,53.88948508029451,51.70246087126589,48.20156512097001,48.322511413173665,50.60957013031413,52.275528611952694,52.173200871215926,56.15336716458346,53.95700554326205,57.15238441987915,53.995333102388216,52.27424994368838,47.553397380042384,48.20640051636308,43.800320817240966,46.434822447869536,43.84555219877588,45.256209867955405,46.43720870437872,44.65559365374671,46.072222623544604,43.24194816107934,44.6102813104626,39.82292990804317,41.32736212941596,38.7966602921485,34.79426003256831,36.6473542219666,32.35239803677324,33.30159369069544,31.382846310053836,31.106306076621358,32.858174081746775,31.65904770844347,35.35155019707494,34.27886447410995,39.37524787064164,39.24196197249776,36.06851467095092,33.82108802997858,29.882635198532515,28.551746800089514,27.300052342696397,27.34114172317385,27.18790184990333,29.602412986872544,31.26640443370655,36.066372709683236,33.11794537822994,37.36274180049683,37.815559983800966,40.518873956665026,35.76660318585958,33.30002348840069,28.58686058437268,28.657961908037286,27.76052323767348,31.772224193797197,32.193789892392026,36.83321883019292,38.060796730813195,36.266185107352094,39.72007391681871,39.78575515172713,36.59315951617613,36.95146244263338,36.45656515243782,34.73232947056192,35.84175202282968,36.42193853002773,40.42834893050477,40.29897615568114,42.00576730433491,42.35528399351954,40.4147150243743,40.164183676945534,40.93647607446651,39.0606883311204,37.619167646439664,41.16014389699232,37.72674671249404,42.440550653584815,40.459830510672305,36.642262486011695,37.49401268717511,37.05610178974975,33.862670562799195,31.830200006208994,33.348161785350065,33.818750597933835,38.45808589442734,41.0752677628699,43.228198309545476,44.86951686399099,44.54010232302932,49.47037971446726,47.99287703089964,48.30814482085868,45.5533380592653,41.872438810154684,44.41637189100665,45.749832778548324,43.23567394229946,46.86838152327174,46.59000416616696,49.310616623529235,45.053439992147915,46.529630882392595,45.43290317189438,44.20322373358677,41.93456027084219,39.597580924695826,39.48402880600002,38.33301235039845,34.04532649480926,35.33110618947242,31.98438742829165,33.12115786234448,33.90858883637946,34.37840759995094,31.05548363875896,28.93616046616188,31.70628779507694,29.36407163187512,23.87240803207072,26.78988458211663,30.46812727206055,24.81095903788059,23.199285252417035,26.169477399347265,25.83815592922669,21.061167873984953,21.943343004349515,20.977738569556713,26.111357462941537,23.39194593976708,26.19883116074987,29.535819881610475,33.34200758109968,36.43348028022055,38.60743693623036,41.66170082721709,40.49744023550143,43.70992506732231,42.59831846694966,45.68880212470168,43.10690044136608,38.0331731100107,41.70761446667278,43.28058061481931,38.534308732959545,37.709107909102286,40.988665104360116,38.83214757717882,34.41724717344925,35.61805415568772,33.169740467779945,38.06081561122828,40.419638570641645,39.66787475373437,43.04484513790158,45.42384864911163,44.25628351429844,39.74908220884717,40.75653028700928,42.589975516854985,38.59916886623306,35.80969031774982,38.08446975478713,36.877376110837545,32.832521441575295,35.9332811766707,36.80778972552403,32.680427148909494,32.06454149034358,35.36343406253161,33.76299738168726,37.13608047732611,37.192158032130195,39.61029198743706,36.62034768239142,32.005252645756094,35.7041332117467,35.10934053911035,31.531736866210622,31.220631987088705,35.72612088488028,32.4069474885289,28.003451919007542,31.321305821485748,34.228418696405406,30.61111173421331,27.108239042641294,22.782943555333887,23.8059910660322,19.101520011745198,20.494920908270522,16.92976590280394,20.231002606019942,18.591122997336246,14.722202499591535,17.260321944296145,18.490918688623385,21.289673765461178,24.61463764795615,24.235946914436358,28.618639449141938,26.764572836914592,26.15742852521406,31.72034439409185,32.96627991068021,34.679381913024514,29.711501517178306,28.42368011600095,31.7334949327364,30.371852071059838,25.371352792538193,27.661685748966036,30.77842567490076,32.40109035991709,33.910675737745635,34.61669647215159],[21.947014963843426,20.098984179515334,20.361977173877644,17.116191371699617,20.387187781418316,23.918316922529407,25.858105175643413,30.354667904320912,30.469905005533985,31.197927678978218,34.42188506003239,37.3209425731909,35.75265638768968,33.93998181855008,39.182557317679475,40.24060271733819,37.291106832848804,41.14090107570518,41.64055032661505,43.778283062210875,46.188748545276376,49.108891070418196,49.02475834572139,46.98236437478129,44.137200971610966,41.3906002124925,39.965723644613796,37.70372023476173,40.21783963833954,41.0082452935045,45.409566720994945,44.89415058219924,48.97920481413927,52.042851243779275,48.99293443050271,46.338764926565254,45.249362383001014,44.01071011402967,42.2248245517898,46.75372086682839,42.40299283167149,44.90765787754291,48.76036398685021,46.57320475536586,45.51731564830102,42.83469181302915,46.36693713927453,48.42485951771703,44.21578246000742,46.40045976798278,50.81229966840474,52.02536701496968,54.106822986444485,49.03788007512012,52.42487753466699,56.59171581251471,53.96328512542985,52.04537806436036,56.74883196947393,58.13475683088006,55.15337470173213,57.40907189629671,56.58013191837999,57.63148160240168,54.46195697602719,51.46688152844397,49.14842936970775,47.177617871424104,44.44778863454997,43.608130824849496,42.19249761426011,44.69502112885993,47.08631667588692,49.451813468412524,49.41777536344006,55.5581776512216,53.52009927613708,56.943991591224794,55.106540045777656,55.049294634429216,52.96004564539518,52.68369094021998,51.075803477143474,48.68925056071835,45.102727699888575,45.525596551085556,47.82075820979287,49.76290012661736,49.69601413222642,53.980913222161625,51.91625254382409,55.3003741191595,52.32943315024558,50.75212623281669,46.08140212901239,47.04610891286233,42.676437073648025,45.12279290090007,42.59999360590925,44.24138414015104,44.84335510485139,43.05071971247888,44.020282525447705,41.17280502074893,42.05785452448575,37.409975108842595,38.914468376927736,36.15625553627287,32.389574195597774,34.47412364357166,30.325172505216212,30.973742840992397,29.43095066024177,28.721353501375344,30.715291348787883,29.19374476619293,32.873843268905766,31.52817681963874,36.82952908721435,37.00025554206686,33.95770274801943,31.873497765180186,27.652039003865575,26.402390664592925,25.406148239002324,24.81953317442,25.1558793461378,27.036193738673077,28.61524683875767,33.24729591018652,30.057679060505052,34.31130755481357,34.44143227488782,37.39843973076822,32.42380541855389,30.146379927819755,25.26486938975834,25.35647748358828,24.54832838623369,28.58308833729741,28.855924125085675,33.398395513291604,34.928843671835565,33.197643710057974,36.629869658033385,37.06285683102436,33.8981032933516,34.57896306393597,34.179055058593086,32.91875301505707,34.19478257303111,35.300156592977196,39.3693793439309,39.87719347625504,41.30012786940869,41.20174192099005,38.98095063293348,38.48379493200438,38.990663827986765,36.78463280963486,34.8698713917995,38.40936753923871,34.60212160276657,39.27872284776915,36.95847647517154,32.94962465109058,33.704263941312334,33.04783505091122,29.897186967712177,28.002552473179488,29.67892309105075,30.368623497983894,35.1243961255774,37.943589034312716,40.32164030847621,42.21409710107662,42.10846011810122,46.9668472754124,45.15693726441146,45.43783608015888,42.355851099876126,38.956394928708164,41.15126972485445,42.27210159587246,39.72444413238599,43.32203215409591,43.14948629376192,45.61821417753676,41.248733527208714,42.63902856505897,41.45008552661182,40.37377478345039,38.0792489838568,35.85506282798535,35.85683127624503,34.79904293682194,30.673488328423485,32.25569051603466,29.19045162439104,30.628347331534062,31.748324368807154,32.53784983324447,29.079275042506016,27.009393625335278,30.228840172461958,28.11894204392095,22.361485562573304,25.653584994874596,29.821835045464272,24.301227339429726,22.826933643548717,26.194539397170704,26.091257690458576,21.419777801778682,22.546522288358315,21.013615873193753,26.484929371633118,22.85238194774765,25.458384432536093,29.15801038196701,32.58453169280165,36.14225085651522,37.718349861283606,40.6840502483299,39.17368514987315,42.195628861373116,40.88268487376152,43.739659128178126,41.29490708900722,36.03994736775545,39.47690055075066,40.940023248183934,36.18046055505753,35.160834522532774,38.17845664853956,36.0428293458474,31.713175576231787,32.51048245782558,30.545596199766916,35.44662203090861,37.98785718813416,37.69898554510152,41.14655544053579,43.90405440619277,42.62175139903797,37.994597858856835,39.526811620617636,41.48784625657221,37.33157285335736,34.73443959057795,37.4719145438337,36.43336602339295,32.34973426010138,35.6104920644105,36.84881833279247,32.91734299928774,32.20266785692191,35.51284645073287,33.562110194904406,36.601647062222156,36.219906719799575,38.515048124882064,35.92046616525106,31.04268552171542,34.285300767867454,33.876962125953284,30.41444136880496,29.48134063144956,33.970700059912424,30.94205896414739,26.26948608406506,29.071596446145122,32.21600541191401,28.80684367373732,25.109826664585146,20.854979058713013,21.965239187080858,17.384097744176376,19.64799430485186,15.81457225836246,19.03764247360412,17.725106596767333,13.40592772047635,15.226609163690753,16.05366932286263,18.527535522079937,22.304347866476068,21.839479248721656,26.082449942408676,24.34207774935302,24.471542962715315,30.126910636017566,31.747893978590042,33.53982622218626,28.45344893879408,27.680143759788326,31.313239499374745,29.66301564665555,25.038513087384587,27.737346186575856,31.145284004482537,32.7626438854273,34.29266079584317,35.02963193728816],[22.39199392105866,20.59728508670896,20.969488960409592,16.64657546406931,20.026879150616654,22.926904374716074,24.33042352181076,28.888996501819115,28.353828186514217,28.62600819798897,31.655914916798327,34.890879578965105,33.21293242877927,30.915026579119118,36.149155093460124,37.44175329929176,34.394996399683926,38.05379628749208,38.32788949761562,40.8055905924469,43.075352528596575,46.22364375926693,45.94011945406223,43.9677432224202,41.256837470887,38.308456630496366,37.19392536989355,34.895158137566675,37.47053890918666,38.49640805938334,42.444898259134064,42.42593492484988,46.41375197917607,49.33341567583162,46.44830890847281,43.65558658708681,42.97617533310023,41.589901675177096,39.94700299597482,44.82881090733219,40.20920988464379,42.30754092772962,46.26846564038169,44.22688364277911,43.08456905766825,40.67248565855767,44.243793028095794,46.25383599087486,42.31011541967945,44.7932831808122,49.12206962469635,50.48775467577774,52.313326368533225,47.18022676058956,50.77283257538185,54.67769558675977,51.776458638612255,49.8529846248815,54.58114983381675,55.833149918326775,52.538744112975664,54.63959239166675,53.72063551201094,54.557205425009975,51.50663799578845,48.59197494913724,45.872477572224106,43.96171308409971,40.92679937048664,40.10023156201516,38.48516926160108,40.792891682278686,43.408499537434615,45.83033212757992,46.08166888827137,52.25345814542449,50.49457593877585,54.023063635010665,52.41067389120215,52.55476270613129,50.754434465208824,50.69351127273757,49.38754725582306,47.19753173256506,43.43787094326977,43.60179751566563,45.5157638188152,47.55424173127455,47.02788240655513,51.29998232525005,48.94972449130843,52.118188915042175,49.17049336544527,47.762187894719574,43.11873861701685,43.94272383503771,39.59733955115486,42.493584010701326,40.223761788551855,42.31189672734454,42.82945821961357,41.635233733277104,42.40696174827629,40.125459601237054,41.33041673524134,36.84393491049504,38.87664508621787,36.39339709341316,32.698472869437595,34.35074883746971,29.981740740051354,29.997661591531894,27.951150524325314,26.919999521639582,28.237105258889674,26.53875523848702,29.968595452866683,28.488673883103395,33.45198764120192,33.73096789170175,30.522709850200105,28.612012735924864,24.425871423940034,23.583029593448515,23.03617067224741,23.086804985487802,24.26397460499035,26.263898881639363,28.378381119458673,32.976817442269756,30.37259168461926,34.84403227077421,34.65125666022352,37.26861009013469,32.11286033430127,29.360390474142566,24.990125762464324,24.139624004280307,22.654087039988855,26.57939431238381,26.343147486567947,30.912712430630215,32.2591320160331,30.772550888570134,34.34419320538771,34.69378496321991,31.60021111145297,32.473854806913664,32.50055320306833,31.16351256537436,32.99234540226404,33.80480899930166,38.24826948775401,38.57792822659853,39.61853987510427,39.596349356247295,37.14089319234398,37.08639272269578,37.174939074481706,35.54347124196441,33.43147790845012,36.515465339723036,32.739355453484585,37.51802002723667,35.600427002441926,31.52239439158843,32.91975698956362,32.360527353912325,29.59025425799353,27.189744878451044,29.0334350587851,29.160105029473712,33.98676291216373,36.745147196105165,38.92926111877539,40.939666808628864,40.375144104402715,45.51368909698661,43.6944005674142,44.3198966602099,41.28998247000708,38.18238910887338,40.699203011341915,41.91282486053105,39.08624640523515,42.20659227045439,41.56778069554458,44.28134328046443,39.752882033722926,41.61303055591438,40.78878485261514,39.75842346503321,37.93282399650815,35.942378819173406,36.298939872237234,35.728890323973246,31.538299120475667,33.46012465429178,30.69615261283026,31.70569342973042,33.44517026882734,33.818724503080524,30.080822456006263,28.765365271880356,32.10702281795173,29.48984188529375,24.05432242680718,27.864132504480292,31.673012155674936,25.822874993539063,24.933152430852786,28.4194643024454,27.636508985291808,23.08783951118989,25.015251211879907,23.786809016140943,29.3566730116675,26.38612510568964,28.54073993836962,32.27159707628043,35.920199054824366,39.42047370897282,41.1094663737601,43.75983919536838,41.99639134001946,44.80538885385823,43.07784516609117,46.136329105948185,44.053332795861884,38.48322492257049,41.669771349845355,43.530418793151725,38.86125176586185,37.42487240252278,40.31307574759421,38.680558164627556,34.35130836314213,34.346255883101364,32.554012453564994,36.85946804972202,39.66310563823696,39.499308046427856,42.63053868744601,45.518582807162275,43.746856847365216,39.286183923709565,41.14775558981311,42.685429558750506,38.26847020350104,36.15089699541754,38.83011253893174,37.49997436934161,33.6628143391181,37.3826321004228,38.38929747966758,34.21488658316138,34.127121090025035,37.680572287919865,35.91923948710908,38.93360797573699,38.30221232826531,40.94712478561496,38.6507800931034,33.49016478554889,36.75605018960199,36.824180725077326,33.38629902023313,32.13324908724566,36.99445778114435,34.38151807746818,29.433808646327734,31.972230854058832,35.57356426991698,32.48106712753185,28.6215497056741,24.221434097564938,25.886289997306857,21.358978011498706,23.571701754422236,19.22102164372939,21.79408028435662,19.65497889657174,15.89308663376228,17.68683589827193,19.033179951905307,20.89160496624267,24.55405915762453,23.034527664299922,27.065788468403188,24.512761815939342,24.992520512313504,30.504791285254104,32.45120383258094,33.636696859062575,28.437903631990316,28.27192382920754,31.619360567692244,29.179328267665824,24.994777725864353,28.257529117045014,31.36728121635503,32.9428382180664,34.55685475346057,35.31595695534462],[26.956053371848096,24.951773046452765,24.802714838818428,20.68197018642548,23.16062701414433,26.89702458143389,27.988518399261864,32.595170689948915,32.25137861853335,32.08174873561264,35.206429785176496,38.561498319622885,36.315894142206524,34.05472346984217,39.2187620161596,40.33766864651522,36.87743625069111,40.22714579625132,39.92676426640601,42.28569893060066,44.18350594492903,47.070245170363826,46.525381918742944,44.24098725378605,41.76160376590956,39.18249454823382,38.303404521373515,36.50456583250805,39.513101159306395,40.95331122724278,45.08529137684422,45.254043136606974,49.38205873378236,51.98186562173636,48.89708503120379,45.81630317235229,45.260856182339474,43.24619840020033,41.26202961643798,45.77519596913503,40.89505808774137,43.2170137605319,46.926545139350615,44.516509919372474,42.95820110056165,40.28687777809841,43.5623016079991,46.0452271532344,42.28891001966403,44.19641652820735,48.75638038361996,50.281794580606,52.301194070201724,47.54998896766206,51.31139949244188,55.164056855498366,52.182015981685474,50.68723782193027,55.524456490065255,56.368638487281856,53.33165754029048,55.806006892980726,55.23064500904111,55.71913899687984,52.4806671894206,49.88383424064452,47.27502715116696,45.79164479524968,42.735319671097955,42.40523934898032,40.63702467499148,42.9438891231423,45.669072521085646,47.67335904323748,48.22968804976263,54.282358955635644,52.31061668620669,56.07338188737116,54.27838323369298,54.099459739174605,52.45881470989625,52.067369915179796,51.04763267248815,48.583572381792045,44.66910422371371,45.27837806768409,47.06125440912735,49.550371613396955,48.89029442926035,53.563433246433995,51.25529278406882,54.514129280553185,51.82255442794787,50.674990569762876,46.131703132324034,47.18358627740169,42.919529808363215,45.800948450712795,43.68152001368253,46.02577365233758,46.00814720958924,44.86126009194159,45.145876329374126,42.8722560169854,43.457887471345224,39.17334768502387,41.08360445204346,38.26555218969566,34.89515409557927,36.90999635887434,32.80255566558432,32.55464292251906,30.971300931003196,29.41278074674394,30.850325029172907,28.65718915780637,31.863616059264217,29.800704564080803,34.75246993834829,35.67864868277793,32.57156928891762,31.069950790890744,26.586287514018462,26.137511029940335,26.084677392729212,25.48503940052044,27.24793488340722,28.572140695919778,30.466049435455403,34.76759504562036,31.703327915710684,36.046399304227066,35.40888071270645,38.516860884642846,33.07200198910378,30.734589288797824,26.1101813636015,25.311185260014604,23.855664458302893,27.709626411294277,26.767238971271258,31.016774265851524,33.011240034915915,31.87050552002857,35.43795011370514,36.4160132718774,33.43586010945645,34.83504782804423,35.06283839929743,34.265492035060014,36.255101766564344,37.527231598113154,41.97166310696692,42.75970746346684,43.6044479132605,43.24053212886164,40.543155459157965,40.27693750884927,40.058742915254555,38.09828202917448,35.36500591189688,38.333942372970405,33.966157035040474,38.6555032976037,36.16053835576339,31.623345532543407,32.898381702056675,31.678932603956063,29.113603279698548,27.131130841690478,29.377859181155397,29.94083229431611,34.95436251997956,38.04915306025977,40.56810173187681,42.94510902229513,42.648016053819106,47.6811224257436,45.39626369781543,45.98713480683019,42.44577559498396,39.82774479005566,41.71835050647951,42.50977361989832,39.66389542930083,42.660016654816204,42.155823948846134,44.32345693760252,39.43183652366603,41.20105102421937,40.14803153838402,39.58674561274232,37.67389795717515,35.94102267589914,36.44944252903734,35.8726975360938,32.10823261479803,34.345537976920475,31.89696004259531,33.514068516257026,35.29220235032254,36.22779596296003,32.534736290208,30.90623802463618,34.548517564623324,32.441049651729905,26.707467108587327,30.43323589200645,34.77217825984115,29.246511650559913,28.107758621191994,31.69009679744429,31.42119280257953,26.869916722415343,28.369040440509693,26.69763339191293,32.28328477694125,28.243916275820226,30.695592567055066,34.5856696850523,37.71600079033736,41.55084284247871,42.68231260732782,45.570713407674006,43.75985343838508,46.54762115259279,44.9590926287121,47.57923873528778,45.35476988677874,39.92226074599543,42.98572062498682,44.338483898218584,39.62869305624017,38.32081109967205,40.87736987147095,38.82212789614058,34.71902791295562,34.75440451882018,33.62855744686878,38.258870664609724,41.11037502733104,41.417172053986135,44.78026599966942,47.94792462958002,46.336790237318866,41.714410603583545,43.86346232282095,45.71570524439164,41.31422985132002,39.14337567890905,42.16844439782282,41.09418804844164,37.14106034977438,40.69050203475289,42.026043051685285,38.08940172171839,37.612216942425135,41.000218371800436,38.93034764441908,41.73740945799771,40.967868878605394,43.24531564977853,41.035445153593756,35.95201135921827,38.78286052417246,38.610642620759265,35.29221079423485,33.76793295046341,38.1848437981589,35.45572114666025,30.640982746594485,32.7862684450277,36.08312178934986,32.879210504900364,29.11524703469014,25.138673267624903,26.006268676320218,21.7535905124369,24.78145805469035,21.016596653424145,24.039923338226647,22.72976862242456,18.42545446232693,19.586262524837668,19.997349979998216,21.85817136769908,26.053325129988966,25.094145703025838,28.950464834315234,26.873504862970933,27.996225809430943,33.55696095862836,35.68424337706395,37.120945458518165,31.914567818162322,31.935512573661384,35.55569105629651,33.15544675944324,29.140399785996514,32.41164607540021,35.732639677156534,37.29231237300159,38.850079911250646,39.551083780441566],[27.391845959097605,25.341591235870673,25.08271984132603,20.222294239276547,22.4545657066196,25.716509858494387,26.205462195068215,30.773436392534464,29.934415794283623,29.24514495590491,32.18925912589047,35.805658772017196,33.34511171686498,30.727456635188517,35.805386461744305,37.060003385711774,33.47313898692291,36.58560108604541,36.0334426478856,38.644656137771406,40.393248221406104,43.44574471310043,42.73489271608399,40.517003482926306,38.154810692670516,35.42627609507238,34.828977804126374,33.054170270110596,36.14102328769973,37.829135202149466,41.585012612870486,42.19366467359104,46.237699027810464,48.64678380148869,45.68482111037807,42.46770488303511,42.28205388562024,40.08495285359078,38.2148733311056,42.99687975024901,37.89815086208381,39.8531926490661,43.63315761315185,41.360746295803665,39.741515905187036,37.33529505278575,40.6494271419902,43.051842566267354,39.54747174079277,41.745835886420494,46.19364720921674,47.84551905077559,49.61526401600277,44.818267113243586,48.746440666030665,52.34927273995755,49.13715139535525,47.645558041274064,52.487759384352266,53.208387183853546,49.91281920358209,52.260663770867275,51.631290895046796,51.92834478237477,48.785529395286154,46.27628464811431,43.362116944935536,41.97054686106539,38.69313408312924,38.44780264594737,36.522495413506086,38.694999599885584,41.569785991796806,43.54529434524125,44.34534223607652,50.38435842252624,48.61197402779352,52.468252921126805,50.84514981572443,50.810316830115156,49.436025698830356,49.214337121720284,48.48722663485322,46.20101066458,42.14652614209717,42.54497305057318,43.96862547815653,46.566574706076004,45.50350054882718,50.188318804804574,47.665252481899614,50.75628087142956,48.13601335017823,47.1737340116572,42.701814979966024,43.69569688940876,39.505383460423836,42.70684896238543,40.85110771877329,43.617252644520214,43.39722026186985,42.796608755673255,42.815474722583836,41.07762441301404,41.878191118853806,37.81236253183494,40.18670647743004,37.63400336718476,34.40313399774638,36.021885977208946,31.80888154932147,30.938817774694588,29.00492699687866,27.088920454365173,27.911651006857735,25.51063759547281,28.41329371646173,26.183011294408182,30.808012058871807,31.892320573926067,28.69692978596643,27.43029992926818,22.98386383640728,22.982456659557414,23.446322754864166,23.305812321317273,25.89983951968065,27.19279343782881,29.52260337921991,33.69351068350319,31.210259371696456,35.694084321952346,34.7458204102322,37.49789710895571,31.943236447896354,29.208920772943976,25.162020160357386,23.4772326874553,21.404919431011248,25.060568589123378,23.60115902626585,27.819210167732365,29.64736719935981,28.762779282305182,32.41892893548911,33.36469137381983,30.496150377449805,32.121119664861425,32.761714969131106,32.0069904218753,34.495029092703795,35.5983378844924,40.3183164606293,41.08368549251528,41.51646656332667,41.12127890560893,38.18864727741903,38.270882104844574,37.62330379304986,36.15287290337163,33.19771939248373,35.70032409111526,31.362055739967232,36.08970510171646,33.97774476045765,29.4270987878912,31.310620163190368,30.23237223738282,28.07422566954537,25.614804114799416,27.9789556534966,27.993282355145148,33.00667946359221,36.02276782397123,38.35637859813443,40.850691883245844,40.167416406833325,45.39958016771946,43.08203217946201,43.983200040856595,40.49328734668379,38.20192396501093,40.349773989480894,41.21820844634687,38.13160019339478,40.646389439398675,39.7095595042005,42.096127669668256,37.10240453123213,39.305282682355,38.63182650673639,38.092770937476345,36.66041517039033,35.164838885877394,36.008942755554514,35.91878462217305,32.130756626000846,34.663801170071785,32.54271569052373,33.74566129766854,36.103996824324334,36.670941317058826,32.76141139981707,31.84721331896094,35.59729604124894,33.09032185072073,27.703639222716234,31.86763078972455,35.89985385923609,30.185473645821432,29.579108844369046,33.2813020888504,32.47722179869903,28.117706045358087,30.299149685917502,28.81797077591379,34.501716270610196,30.986947585094732,32.9694287420013,36.90935046419922,40.20824177387182,44.02399173413723,45.20487562502817,47.752186352710204,45.66091784533587,48.20719453651607,46.20147565959833,48.99274254238147,47.15350504332795,41.423774835496936,44.20873334865464,45.95928492024854,41.37033998124458,39.64528692506093,42.05761247309362,40.549364216962914,36.469337403655004,35.69728504107353,34.74155119115987,38.742692451703306,41.82942293089189,42.28255962510543,45.324166904804606,48.63258892551889,46.561355876091554,42.118874356094864,44.61887923446157,46.08471287909606,41.46248820651285,39.774395068798945,42.7898071039421,41.49564193387337,37.794992998155614,41.743498191370186,42.92526704805789,38.8513006548568,38.90523005555545,42.488063168606296,40.54558474407565,43.26224365101881,42.206089518533354,44.78553674159218,42.92002584528202,37.56868404485236,40.35617804027942,40.66654386518454,37.39880346377846,35.5316793166293,40.293586940212506,38.02333270720067,32.93874816527685,34.801904529474136,38.565678134429746,35.72575030809685,31.80155431410556,27.68510606905085,29.182150625638204,24.985995802774863,27.92102796905467,23.636732018754447,26.036707441709133,24.08771507244912,20.29513817530908,21.361883337447523,22.23959581496794,23.50078982058263,27.504649672362948,25.6049099453936,29.170837601480574,26.42065855652012,27.929200863707308,33.26194025116046,35.70065522217917,36.59900653836017,31.365252425311922,31.999704435326926,35.373177440441495,32.28892766900732,28.817072549356126,32.56505382465085,35.64044728178848,37.14425842831195,38.75325023510153,39.47157282969874],[23.950490054591157,21.685537720228613,21.16039705708571,16.236793834431484,18.37696271072838,21.715485917520677,22.295058755866382,26.887371805219097,26.302667096983217,25.864393852532935,28.97403544855144,32.40037218461481,30.053425488469617,27.743711004815133,32.90323650881529,34.0328197825674,30.61776837234549,34.04070000501322,33.97671163001673,36.383432290984274,38.487796216029885,41.54176616247256,41.175715606947605,39.12639577264314,36.46242747200061,33.62076564469138,32.61109114439518,30.545885797162015,33.39384399303658,34.7633701231252,38.79844401144028,39.00907505491171,43.101954471471075,45.71612297640357,42.70023139645967,39.67242005908019,39.17812593016304,37.349279214819745,35.56823837337086,40.40456473404806,35.59412684895669,37.677171744881655,41.573065965766276,39.4517319616538,38.202954360487645,35.81203818997035,39.36209270705481,41.414960027890245,37.5884809041625,40.08007093303916,44.4059242475257,45.862814501087044,47.63083068573673,42.57616929663822,46.30257583078727,50.0889217501891,47.07748915953798,45.29760198044384,50.07607343360491,51.14422071679049,47.87133720037259,50.102537114677176,49.33615269132897,50.007609443659206,46.87540034642406,44.095076652614466,41.432282192892046,39.741225679028105,36.7426160436114,36.247516281027785,34.59091498210522,37.02308888352035,39.59302809685069,41.71062259695359,42.084796621973524,48.18179975887237,46.26809951494844,49.947766754054456,48.24250271439692,48.24114888569879,46.60341217965486,46.43829725645336,45.40995241272791,43.16814053634366,39.252093195571376,39.53849488465884,41.24749891162393,43.57950640249952,42.85725825197173,47.39211556164491,45.044844421467666,48.29008596820236,45.545503847871785,44.36205461272287,39.81448407332303,40.88906253063298,36.63472504112543,39.518932039235935,37.469437377885605,39.99953849542065,39.8829253348859,39.02086169551281,39.23377062032975,37.2903356954933,38.218859099206874,34.02196967557947,36.36183674922067,33.892264322054324,30.53430223446256,32.08374373545162,27.814670026370838,27.121043894437612,25.186741619209343,23.51622735744634,24.65005063019194,22.52424482435416,25.76677198143722,23.95465945866126,28.952330718481527,29.56817076710277,26.442298965049325,24.80616265863943,20.376740018415344,19.87199423867663,19.912600087802044,19.676270671231382,21.912903966004322,23.37796627691109,25.71824922597533,30.033183727414908,27.670740876847027,32.21077367817167,31.521424719367033,34.081406874312236,28.68418289368174,25.81877045309742,21.76224341691147,20.252872350260546,18.398752167635898,22.22438428626702,21.556278096808644,26.05954349478943,27.548054025173386,26.248575256766667,29.860668808837726,30.504072824557912,27.501940461320537,28.804833127827685,29.184613030719348,28.30241502725938,30.596476256686714,31.756959841096158,36.39208894893042,37.2579312102857,37.78942257140382,37.354664878261346,34.520888727871466,34.46916726978273,34.04806442474531,32.45137907101295,29.78191972808371,32.55685209007846,28.478806528429647,33.25285155527316,31.303129933324833,27.05997461593785,28.791598188346583,28.167239113847074,25.719463813038868,23.084569357458744,25.141269321962547,25.06023421252968,29.983183277185113,32.85521886075987,35.10485846733893,37.40172968072834,36.78386658292642,41.975479986882966,39.85758929615726,40.6518949784053,37.38851470459177,34.74237530536035,37.135415631455395,38.22545430399851,35.21310481393314,37.983529650030846,37.154191100998965,39.81370715031253,35.14128244676385,37.209068090082425,36.56690936029831,35.66400195750691,34.149509807578475,32.42119003507194,33.112398511267514,32.978876320390405,28.945491005792412,31.315398988287285,29.073950366407594,30.010096213697963,32.42021200052599,32.78391015540953,28.842239351557904,28.12019592186194,31.826742665901637,29.1673488112402,23.923937250889825,28.22546727068871,32.10910425946524,26.379189651126136,25.988274963377737,29.74881668443145,28.803209910481034,24.59074560063025,27.071386687490172,25.611727048437245,31.32440402434963,28.133810548855703,29.763471639337048,33.70344872555619,37.11536570644459,40.8871904508648,42.14304572677809,44.46469543042589,42.26799975094107,44.73011167264901,42.57809990303257,45.5372002339915,43.850058819189144,38.00457107253318,40.7644488139052,42.79548967211816,38.261756263683836,36.393248966319064,38.93038066320895,37.72816490124028,33.55183219000332,32.626252612936426,31.38633792991545,35.17539091846956,38.26339044242609,38.578643479150365,41.5071450246145,44.76746096752291,42.607330043056734,38.219391997467184,40.72175310554262,42.08389442653782,37.43366657670036,35.82988316143778,38.83393634857736,37.50980612093759,33.86812457917548,37.9208484441688,39.095471128483275,35.04623499351893,35.228162792804866,38.861332098839235,36.94483349760082,39.599348296250355,38.445342836199224,41.16299285292739,39.43490015460913,33.98069252067516,36.805050159051646,37.34833013645386,34.097785679580866,32.15396620013664,37.150188684311615,35.127013763079596,29.904732441664894,31.776031448405018,35.817775295303946,33.20292692513736,29.186899111224406,24.898477694653174,27.00149964882171,22.809129937798307,25.470388368980437,20.803926373356333,22.73606293527493,20.48419019649834,17.0239328588565,18.061243087554153,19.36079865304795,20.370427196824885,24.10394565195835,21.832166396422874,25.4100317677037,22.490005808820722,23.893397717697532,29.20293738939777,31.64846854355987,32.514711912837136,27.276166247573695,27.972117981119503,31.35092249065298,28.25709185391582,24.847302076680055,28.67949453131216,31.80271241559292,33.317953779047734,34.9548353132601,35.737302818313594],[25.790135848232936,23.224661199417035,22.088354268203446,18.048233713964155,19.33101730761268,23.908146640736167,24.696414677742737,29.27044371780701,29.44749016362661,29.11937920481739,32.494522840567896,35.663682873805215,32.99492939713689,31.23817889029149,36.33382993639679,37.07904986221755,33.48563013223654,36.8902853065457,36.70568338591305,38.63390725376401,40.655688091648834,43.279786664677864,42.98679131458928,40.68424161299969,38.004480488213886,35.629748091117904,34.41257369212869,32.721591439549535,35.781278531545794,37.186362634834296,41.82156107868838,41.64744266199448,45.93605856280871,48.4565506294327,45.13201976534732,42.052655030147534,41.222199930197206,39.1128482710363,36.95663242354255,41.18279492872927,36.4865812608138,39.14711877541876,42.76312030576273,40.26368191069921,38.870422004346764,36.033984000566576,39.38289677461638,41.74846747759687,37.74424161662223,39.59972111668128,44.150301696336754,45.55096755269139,47.69130319308604,42.92415709074132,46.55195533261504,50.56928131751826,47.788361526497205,46.278658396856066,51.09747721184192,52.05055692257853,49.26747044443384,51.89380523484213,51.44555091174693,52.13091313484909,48.757092076860964,46.09295536319987,43.96086040123512,42.4821390569707,39.83801963273249,39.65843048045255,38.14678742250563,40.80819125627707,43.161860034518455,44.925928209662246,45.1666608530933,51.12875488905427,48.76636479898126,52.482137022400636,50.4164127684941,49.988649236511606,48.165406019621805,47.5623750210431,46.435351364291456,43.81345717625269,39.95877055681242,40.80446756151612,42.80862162148421,45.347821700296926,45.00907822831395,49.82443560760942,47.81531923978726,51.351799170414054,48.770611003982076,47.596675300660074,43.10524716674942,44.50309892806667,40.294112095039935,42.68445086997369,40.50083375512032,42.80586157102523,42.33774371456382,40.960506804841266,40.9726523226548,38.526044043661564,38.70286936503795,34.51753222475408,36.337610063042604,33.38695989273922,30.221644702759573,32.399896487387366,28.511372910094366,28.140805827015747,27.03221682037576,25.27134887374351,27.189469062977,24.921186705505082,28.270269255340068,26.2482068002072,31.603628050369956,32.49976530004662,29.660681731437894,28.107170990206345,23.484937653928913,22.78058122747539,22.682182049876598,21.300235403541073,23.19550055635875,24.013229729908907,25.726634869595838,29.85454178882499,26.652246092067394,30.95922896866051,30.187742191583997,33.396448763677775,27.911035100218538,25.758988116162193,21.01659102770965,20.431934700994624,19.322662536694754,23.21582439555415,22.675402619947334,26.937338560173945,29.02867594397975,27.67644637628211,31.121393090988644,32.27475985063095,29.284620885446515,30.756780691943934,30.86098957902092,30.46722132998064,32.38051341030957,34.17832023839507,38.48855360637121,39.910656221665846,40.600175341235605,39.80676415930259,36.994284987270994,36.36652764667912,36.09363263621578,33.70968055844763,30.759068595614053,33.89814004806759,29.380205270374024,33.98931859351373,31.24708486735475,26.758170451660433,27.77790611737818,26.638863133621186,23.923193806389907,22.01407727133727,24.205211474432737,24.977504885032886,29.981716996883794,33.15478582791893,35.82828181821067,38.28055584269328,38.290104855073885,43.13915166403069,40.69501004354152,41.146225522813324,37.470376217211566,34.90202162128405,36.572053858315705,37.29576364175464,34.50158823263638,37.64354434448696,37.35356694329248,39.43438436297356,34.686838601763355,36.24263208651791,35.109954957094345,34.444159846822345,32.442966258634584,30.66884207610981,31.18051027379094,30.67372649845801,26.952044776754246,29.343740636121492,27.13999279504266,28.842437407352428,30.922234789943413,32.004463592196096,28.263128873445506,26.83184162268604,30.752741983983682,28.819989928226903,23.131430978617175,27.128095595810766,31.673345148405225,26.423857297949226,25.552597735243157,29.37571242377836,29.22974537835967,24.99152201423848,26.78647446143057,24.755475762635676,30.459152565900837,26.069139725660786,28.017049551600127,32.10580589316583,34.95850661494828,39.079078433970125,39.76394878882576,42.365216228220106,40.201685097486504,42.72682271400386,40.87325566587596,43.38085597924825,41.419618883062476,35.80882843030251,38.59479379137086,40.04622261782936,35.42927927805908,33.844119319734595,36.21027906534267,34.44874489111085,30.414369720306482,29.918298831096244,29.08332016306259,33.49082594655219,36.47157942354873,37.098735907782306,40.40474188397249,43.83197221759077,42.092488089228056,37.45985701844591,40.032090808036024,41.91300128839786,37.428101839708766,35.49932295373272,38.86309768734006,37.9446952618012,34.059529020823526,37.72520466765187,39.34446067833419,35.66416446567241,35.17061049233872,38.53835460452044,36.23207840842712,38.676589817763954,37.486418936677545,39.718974157092646,37.97250108519673,32.68767059761409,35.09962571214444,35.2640221573156,32.11938831604019,30.03063280126191,34.5264064891812,32.301529553843736,27.252769737056973,28.874812922636497,32.55040284185775,29.790547037462833,25.872155925154654,21.96407791690456,23.384963740927247,19.45302445884064,22.819894808460564,18.73061080478249,21.17145373196768,20.021837618963165,15.867253128499755,16.254434938078777,16.544434095220776,17.73928955016979,22.00355727215559,20.760165214537185,24.342232721910186,22.38367224507484,24.099932474368735,29.559019310030614,31.95377533974695,33.45623728102483,28.284271985199787,28.74644011209953,32.57141473959012,30.062208070285934,26.493260450306348,29.99081766962569,33.52155891246166,35.06629418409661,36.6212134671017,37.375460823991794],[29.912986285735546,27.411210484640055,26.27853753195286,21.89992145763444,22.880256016663992,27.325010746931437,27.612738146599536,32.15480113714533,31.969976761160957,31.052305070031387,34.26784335888681,37.72433962524729,34.65302503511463,32.557319107179865,37.51666280015774,38.32410418756286,34.40068352239094,37.35680016809078,36.510947174903876,38.61421630701364,40.17807713832635,42.752261764078895,42.05811385052945,39.55045424723308,37.21915965111479,35.0210548724181,34.29780855773097,33.026235487291686,36.446293254760675,38.344272321002606,42.68960605022556,43.05511381902872,47.321819884499355,49.478590682973135,46.16878500735792,42.7886178115585,42.392821130402055,39.69697172553038,37.404251855191795,41.56263074542137,36.47002645861401,38.95298006155332,42.409141948018615,39.72826176660494,37.890862666536776,35.06859585090836,38.14850633387297,40.899324019296145,37.32461739473518,38.88699780198922,43.548583668144126,45.20966121365683,47.29559106726562,42.84754006514937,46.75981691707384,50.49416257123729,47.43682234588282,46.301026968533854,51.19972345282151,51.692962484962884,48.8850285483095,51.68133151056039,51.44390215217761,51.65659785819987,48.24405414697834,45.933653743886374,43.56625936673853,42.50432009512396,39.6011032481563,39.83201537438371,38.03883909532163,40.494789111999395,43.11610795511469,44.58465309365632,45.31572417000551,51.16793060514647,48.88975917904088,52.852371909661215,50.84295417392358,50.32522775475526,48.875949141747355,48.18559988534192,47.532273608250954,44.870459990979654,40.79768427178665,41.78690280999129,43.358970299368934,46.30780328878097,45.49605216056963,50.57317469466859,48.37688638409527,51.77594855316618,49.42290313731258,48.586207748800206,44.22801598261369,45.650024351797086,41.558340600962524,44.27916132966613,42.41310159748303,45.18303007373688,44.326671979391755,43.43138901540988,42.97974760885218,40.97634558167366,40.94917011014157,37.080344180592704,39.141241918789575,36.19068537921172,33.34547501102686,35.44147861695463,31.648446749488418,30.69872500748464,29.55914506993508,27.25337228557425,28.67220060546022,25.938243141949897,28.80979034577304,26.211466964325467,31.158885602741112,32.6887814997651,29.834162107754047,28.791756304947942,24.081550518905836,24.06244988444027,24.683513198482267,23.400483246799304,26.21097366319015,26.660212647209274,28.53854418176978,32.33438173507165,29.27565710022552,33.527542231932756,32.2160274273119,35.50109429690768,29.779563457535104,27.661556413551793,23.265989387906615,22.023749291120687,20.420213302299114,24.008906208116255,22.373145214202744,26.258852455944236,28.76195194734957,27.962430066307434,31.4588857747865,33.05136277756384,30.268805733588803,32.274191711643844,32.85187607168791,32.77116443275327,35.14067788858419,36.970856067699245,41.47890677980193,42.99619325252809,43.32593077462174,42.40796309400224,39.31784228282874,38.885785645059215,38.11321728992613,35.96518867174811,32.474627533433484,35.11084698141277,30.219258728877875,34.75455990662638,31.8919390237085,27.020206269451762,28.444324311758372,26.795508078028,24.661620681623702,22.78342240498773,25.4065720144299,26.080488456255626,31.17697534482581,34.51693686608331,37.262040516344626,40.04735721430495,39.90861245612716,44.83263330070141,42.057702969816376,42.73712448567782,38.74716718107532,36.81943068107566,38.21250530991284,38.65326095552512,35.67563497463046,38.29453401127979,37.749576546720206,39.52797811742512,34.3711367626606,36.2145883150618,35.185175054085754,34.987673750005506,33.311116959729794,31.9732054143426,32.861046449920096,32.69765264608567,29.35985207300879,32.14138800922187,30.38385028230235,32.2017606586034,34.59276142785945,35.76915991622825,31.972641057965607,30.766313778917084,34.82888067163855,32.93945263567947,27.344939852839733,31.428739795197615,36.00755050962152,30.789971446968675,30.021297135940817,33.86832953092979,33.65365803143846,29.43896772439552,31.297610782332704,29.265929650101285,34.96140505425369,30.390423909108318,32.37542209049628,36.495773682297425,39.17553667402438,43.393115819086226,43.85836831835972,46.47256535970725,44.211786621030924,46.620600905471875,44.679079436826015,46.994975692121486,45.12829351665868,39.51958133677106,42.07789335012124,43.37654146043098,38.83058972288242,37.152763657302,39.18618473651473,37.41297219885478,33.60754298788139,32.72826645051142,32.46620084273739,36.685653050238244,39.79745415751818,40.77561903044986,44.02094560164006,47.646068349022585,45.7595045859036,41.16974875017773,44.03495151162001,45.85685517221007,41.28783902070357,39.582972327258005,43.045578263418186,42.107669504457846,38.30972775652969,42.066866810883866,43.702535510523454,40.013041870346726,39.621407948175644,43.001906284877116,40.665045981328525,43.016485382196386,41.684254793723355,43.86109615346055,42.26911585345125,36.96566898792999,39.158860599844644,39.37027348962307,36.31806138334416,34.013564531884064,38.34454761151507,36.21446817215053,31.221995390484942,32.50213087772061,36.10388954685695,33.41200964508279,29.567866613020342,25.929398214339695,26.993108602356045,23.28700834273243,26.950484836791343,23.093914878118525,25.571100618191213,24.476112285023877,20.355955163914924,20.573148025627468,20.587348172530557,21.546297926565,25.917546733174046,24.544235179567163,27.807080953663352,25.726690396177915,27.927181733661186,33.22870431912864,35.84687850637722,37.12663403501605,31.965527254088666,32.802602463244874,36.54897688307174,33.66991847713602,30.42990622715591,34.14222364840203,37.56215158503212,39.06247422769821,40.609587759667775,41.31365113868025],[28.211720541627493,25.521023787089327,24.00490127562032,19.222162837076233,19.59093065162071,23.861100065548214,23.63490632748993,28.091648793109815,27.809541014650822,26.574274051792205,29.787768007278636,33.270170920841856,29.983955349784885,27.931381847864454,32.82875339726384,33.566174376526796,29.596482052946513,32.55554181488635,31.817578062167694,33.89601294078322,35.59612898034905,38.256448702607905,37.70366045279835,35.34150300172256,32.84521828871596,30.487854327330528,29.648835383529402,28.2504319436728,31.631686434179528,33.54468797481776,37.88997530560557,38.28366979896074,42.55161012633925,44.66286963923903,41.3573236436535,37.975247920701854,37.62259732756346,34.964805472662285,32.762111221806606,37.130418645352265,32.04887977123943,34.408673940674696,37.99686045016169,35.48987214539713,33.87191669160768,31.22555333574841,34.542162162545175,36.977927739154296,33.3186213601093,35.32906719715969,39.83670698831033,41.452258019692685,43.36588128188332,38.68009498079707,42.58831921959737,46.28729865387513,43.20394989913211,41.87343616950612,46.74974654219465,47.395282704805865,44.43494051022483,47.09774562583508,46.756100528324126,47.09889155540697,43.72755285138538,41.29056012772775,38.93882415744159,37.765810298248084,34.95223159586365,35.14673210688374,33.453902324298,36.05202103673882,38.51588853895253,39.98750902063098,40.57705929455713,46.44178790507596,44.13967075946381,48.06474510933202,46.07551873197872,45.6370108474835,44.1901971842523,43.622124400541516,42.98997782810157,40.458338068007535,36.355441155240726,37.16371665577686,38.67707894572665,41.57221885293996,40.71970890867081,45.759420776718144,43.56673770439049,46.99642866223554,44.647418450602494,43.81677714404333,39.485914452092835,40.99400996398887,36.94732270038565,39.60240372770658,37.81895866336939,40.75880253467908,39.70041414539781,39.025835633627814,38.41321784604165,36.67450765918274,36.7992822314679,33.0554567400818,35.44224251366802,32.73336878971293,29.982239959666313,31.74979363930775,27.91801636568012,26.532153781305333,25.254975328037837,22.718900926540165,23.944949191704133,21.138034185831277,23.99325447069424,21.466300279567058,26.530407738038367,27.92655469019697,25.11683277825345,24.056191893884833,19.322362337996747,19.345864088271096,20.189855943694628,18.95521142632812,22.318816318555232,22.6674449349517,24.854199956239842,28.564719999760676,26.037485738222294,30.41970596448764,28.984889022702614,31.87360176597262,26.14062312382237,23.645068770433518,19.719342747031185,17.822358391063695,15.861458550897582,19.4223984729281,17.868291517121115,21.979988201079816,24.194811108544894,23.29908465907031,26.84559894431157,28.300578079005845,25.518210152391163,27.569391812267813,28.309408426872313,28.31593667008444,30.94378832441398,32.800576405452475,37.409774674635976,39.10173536223896,39.14197684754154,38.08074225406015,34.84878827655326,34.522545929344446,33.524450201369646,31.588973789372783,28.01395061110343,30.472271788235982,25.682969720514414,30.289516145091046,27.770190439021537,23.045278890528454,24.86999300735992,23.66094659611323,21.654433560385538,19.21617950617136,21.76441001802262,21.94609347618692,27.02507218273393,30.248417886458455,32.83813465584817,35.6274399938142,35.29038828416262,40.311862601691146,37.59010471244179,38.426081722422964,34.57658628510478,32.70913805220413,34.41941589134659,35.053681035537586,31.922620081003554,34.34370368590446,33.54766374740938,35.68196670817801,30.649131137117397,32.74700355273361,32.043662119259906,31.59474500600461,30.250533187389145,28.948042929077772,30.022327079686672,30.252945402611505,26.752158921710567,29.690012574082427,28.175954119401656,29.501910282361138,32.412931270845775,33.19972814134841,29.24270256071698,28.74514269679004,32.86559698189342,30.6402730455235,25.470537038480053,29.936517262968103,34.185902885341875,28.935086045477778,28.7132909097444,32.65921834922212,32.015125569156154,28.12303863372146,30.617160936084066,28.711396848137632,34.43965542887738,30.441372429349787,31.81254588849999,35.950448820166386,38.7776410633347,42.95409782879639,43.46195757957383,45.63984008787042,43.0803045467119,45.21448168087736,42.84333088213775,45.3736151256539,43.93508171578463,38.035840065036446,40.31728646333686,42.112688920396735,37.73006084033848,35.61257403090945,37.58321615575597,36.489428913242044,32.66726294092436,30.98706968379271,30.71686877553645,34.244158617630376,37.54557006810034,38.59158161188442,41.49609152096241,45.22030872400353,42.9203110109533,38.521566885550655,41.70271320128695,43.168618555294145,38.43197846706944,37.189981771440856,40.66779596732898,39.58531491398616,36.04799346401406,40.13903014603446,41.69002499825131,37.98777600547388,38.04442754634592,41.56224260072804,39.31846278284717,41.504800048595044,39.85759375634616,42.322424441855716,41.13217599225306,35.586024590458756,37.69994890592049,38.45234632442998,35.48891592951326,32.84000575215115,37.55536294808439,35.98808889262024,30.728778441963357,31.741293237381402,35.887850609792,33.67178146282432,29.67004401981431,25.860411501162137,27.811541672883685,24.198034623008798,27.582951689009576,23.16162297628599,24.827117968041087,23.162919382959526,19.700676649279593,19.723525361945086,20.310466328048793,20.563148796781896,24.55010881884089,22.20480851220569,25.136881866347768,22.472112417062377,25.039935011402125,30.064031021151166,32.95189803964512,33.81305970397875,28.689471559780497,30.10126799837052,33.66656180454046,30.293473177169076,27.63323623503805,31.71492593239233,34.98237273805288,36.43101411147355,38.01111093474937,38.76059698800188],[25.606527161637537,22.54323035645081,20.29178806470893,16.490352765355794,16.024084156756533,21.445018555506387,21.723109177500948,26.118767830608018,26.868473604951067,26.290873669640778,29.868199184984284,32.78433747369947,29.625927792516475,28.48242578280315,33.38762640594435,33.68980856677746,29.97840208931364,33.38067379525228,33.32804111333222,34.737146800310775,36.88575233160483,39.19910010374396,39.20394156750887,36.91874508234148,34.024437631191226,31.899069383492705,30.29361593921945,28.747154243057064,31.831253873111514,33.19822101540552,38.34838357586802,37.813565151774064,42.24584747980597,44.6374626992819,41.06918433677014,38.004080082602606,36.88544207099614,34.6661626937098,32.3308699875512,36.22081251126096,31.761132206094295,34.779923108118794,38.27558312314563,35.71141240325624,34.54584807197345,31.568231992215274,35.00616881129451,37.1766393306981,32.901421183764036,34.7506401633137,39.24729452750126,40.50034348454728,42.74429253200502,37.943874875862555,41.41250554849624,45.593137084632616,43.03789246877837,41.496822324337266,46.27624960493045,47.358291065591516,44.84800520195409,47.6152188026434,47.301470337380486,48.203699622430214,44.70777985270606,41.97812776497298,40.39383728052911,38.93113847559677,36.78403701158431,36.78054053724762,35.57916127139979,38.59499872186045,40.5029901372564,41.976612117737965,41.865330261364925,47.67461334397671,44.901007346941554,48.54383784088206,46.195388830243765,45.500092211855865,43.49114917763138,42.665096715801376,41.43870179856869,38.65953275687085,34.874455494751615,35.9753260711865,38.203661383931745,40.79318450161424,40.80047671815091,45.74881190306561,44.078389956230296,47.8922052853644,45.46009664732874,44.281473133937276,39.90040035348317,41.674911855404886,37.58970191561851,39.413654637266106,37.208926403812306,39.49393675137394,38.472604366124074,36.90067664125191,36.547396233569046,33.976323204290736,33.67761920106074,29.66650814170105,31.438509159364166,28.37890334232706,25.525983178452123,27.829699145617663,24.253256100159483,23.6214632013492,23.11504931069309,21.06478479160289,23.51087937686991,21.17888564875656,24.608978241406568,22.685506959094088,28.403520325147092,29.242883959520128,26.785862312774597,25.22495209300797,20.58702057028742,19.61494838211232,19.51975571175807,17.148684644933205,19.309586569136556,19.386585102905443,20.897822047939698,24.73691635718414,21.4690480980845,25.74490281043534,24.744147091796318,28.01244763118014,22.459826849017038,20.49693990839473,15.699070335641782,15.298788546807074,14.667882443992163,18.523736611730087,18.54587488718357,22.74855228748639,24.886622729765566,23.28605487194051,26.537048140890274,27.886785915430117,24.929311132368152,26.497841425568257,26.490825234503163,26.63010986758553,28.48739293934956,30.88712787728484,35.01496595603391,37.16579098919031,37.60808909590528,36.311872231193256,33.362592471906666,32.34509641590859,31.949983429162245,29.119962393708274,25.879459478328904,29.161856114676528,24.494527979806946,28.978509674914758,25.98630282940968,21.599987227485958,22.350085847202813,21.3930525251745,18.51217805384884,16.60387518477968,18.70907830747112,19.686825973394257,24.66083304228803,27.91271603658966,30.74805917982861,33.297657618825276,33.63796384557358,38.263903044151476,35.63484847520448,35.953424019068045,32.13143333375951,29.666614145228596,31.10328604792699,31.76611753382646,29.000261956277377,32.26863528108108,32.191813820022425,34.2108909107819,29.665561503506005,31.0065991769175,29.835996236075708,29.01283117765807,26.970382720742066,25.165187787572798,25.736222962127993,25.41943922138617,21.74381799463217,24.392122555689028,22.60474581048555,24.306454968248687,26.87450336431088,28.051072695648195,24.26141506859366,23.26468171289889,27.475300923160354,25.72136732744944,20.33619783777246,24.621780144760155,29.230735682552616,24.425552413263276,24.002751165319346,27.98712487600959,27.888506053136794,24.196022279638104,26.35866951467453,24.05941649070295,29.695287287533766,25.186700982111255,26.394874852973853,30.59645819527918,33.10914176072439,37.46267098955873,37.65785839905148,39.82778344854653,37.23401570392603,39.37961774912532,37.14951118035866,39.542851159617356,37.98575009577086,32.16441933802355,34.52980294960499,36.178217386718146,31.748855174391803,29.74915219743946,31.832993975549623,30.581527597569018,26.688327219158477,25.33238179205401,24.910275696402344,28.844232324498453,32.014236583540594,33.05581129090739,36.20030645922244,39.93698376076854,37.972373521676836,33.39817194925721,36.518134063757,38.34346214153412,33.76633661184562,32.24292558403901,35.955768277310675,35.19328975117006,31.498783605833832,35.30545190497076,37.193238883280635,33.843811755955095,33.43519518105021,36.750380756052,34.24595549960113,36.22046027560126,34.508586755997726,36.7183056433151,35.59592546068136,30.123938002953146,31.988981090161374,32.646815367884344,29.778042557818416,26.994242882759814,31.57628087219866,30.084338232590692,24.83651642775732,25.71835277463388,29.87963411946266,27.789496063924258,23.779085494461025,20.084710025661106,22.246461010822596,18.924970392310847,22.416857555264553,18.120978956119707,19.571186846648637,18.55345306655856,15.036783942055717,14.382836341800132,14.611539972066938,14.637287605467133,18.734293380127514,16.91616242513632,19.952393313047654,18.05984205535687,20.635941742814218,25.79205041995478,28.5382848769818,30.00299116881457,24.969111975811533,26.07707591788201,30.015103997783136,27.320705703624135,24.485737905199635,28.214040070785327,31.85496112277136,33.34658710715549,34.8844140005807,35.68655053666417],[30.021954557532315,27.074214334121187,24.99423256835772,21.191775164114976,20.77740455262366,26.175549854617838,26.263433186671996,30.6360541462459,31.18803722479027,30.224012500520725,33.69300406436209,36.81732857059454,33.33295595116384,31.94892576173957,36.74755425874565,37.06374092340718,33.03789094571349,36.0210977259164,35.30075628860497,36.77041678559237,38.43454622279452,40.56556744595532,40.179094170996635,37.59273054118933,35.06019468280218,33.266256007689435,32.10964654567771,31.089385202333865,34.56620472748452,36.390733112486316,41.38722332887803,41.25581758545518,45.6983682352076,47.75542525968804,44.13802856607826,40.79250945626897,39.98993780399431,37.15411005289208,34.576325945235226,38.16655690091528,33.36441528098218,36.40241062878788,39.63215544386498,36.73804881188421,35.04469865438145,31.887946421518297,34.94483892449424,37.67178035701821,33.775394904893126,35.00852406089451,39.7326380216423,41.22527377807685,43.58539485932736,39.247569812998655,42.954529168953854,46.939405550878405,44.20197714990146,43.14782324402718,48.01307592413726,48.59101955705446,46.2422714570023,49.31133251909968,49.3028829798163,49.74157418254587,46.133149141084495,43.79568627898013,42.123406961433,41.12323135427431,38.79067685537785,39.23473602915104,37.77723541342338,40.62231442859393,42.77456385965707,43.90911256852882,44.24969659499757,49.92768661686629,47.1315761915485,51.01595965157757,48.62737251387369,47.72011929155518,46.01192277779335,44.95653936088822,44.14322585562813,41.19806680709701,37.24774285187693,38.67999882447506,40.586371071524354,43.61742602864692,43.291948746888465,48.549697533693546,46.787373796631236,50.53237371012043,48.33801699074061,47.45933241275361,43.20020283807038,45.02837550594547,41.037031903636425,43.08843150578039,41.11684922453055,43.70740380710125,42.35286505694766,41.045653877961314,40.29060572657816,37.94677758630287,37.242658078781645,33.527319478037334,35.26780997746103,32.04332708344165,29.54392924429288,31.99554556851856,28.64649670626922,27.713679598275576,27.365032169035594,24.89990600549058,27.03451333114196,24.26895124142167,27.256884725223962,24.713102221281023,30.098689003523102,31.628497162063216,29.19011541427631,28.116003527973277,23.357445338462618,22.997463042755413,23.483882939701783,21.10000549173737,23.826096646826418,23.50874993345902,24.908049660067025,28.34326017245987,24.87215664481668,28.900159638564055,27.401720682599073,31.02513752540598,25.298918985662702,23.72716948508125,19.072596642934382,18.44483434645233,17.568586350565745,21.076924601505326,19.96215323708864,23.65831306344336,26.453190885486837,25.417744609675637,28.653649412488306,30.58683710097147,27.84629966059289,29.934962763383187,30.269240524833833,30.746105046236305,32.846666964863545,35.343286573769916,39.53337587061303,41.77586021398744,42.04270155894375,40.637753592098804,37.510539542302034,36.538330341497534,35.79825459671723,32.983730454504865,29.234849200014676,32.143599014464066,27.00682360120873,31.324922063934153,27.90657194079589,23.032491072249055,23.848440470809983,22.035303007591747,19.661781671984595,18.2539926276938,20.868162201723376,22.13812047102848,27.17334435587344,30.677197831052,33.71586752144718,36.59977253416419,37.00660919885784,41.566115102098976,38.54511405693857,38.9400611286574,34.68874760133682,32.86596411218879,33.720094876181456,33.928972385729814,31.118193143306122,34.023192586579846,33.93281515367848,35.37010058183933,30.366004442914647,31.74771169053863,30.415292338557627,30.222566962626278,28.25021527390936,26.87805533873735,27.704835790261313,27.47685390422715,24.405124781548594,27.339735832552925,25.928172784712473,28.103429398697617,30.616892682500115,32.18670370760436,28.518568334239767,27.280123003717087,31.568244572570954,30.162418507680368,24.663031260571,28.719746749373865,33.58095751284502,28.933030879688992,28.257592449697203,32.197974725681334,32.364844288867324,28.537378403157668,30.34088992027542,27.901179730222054,33.49809374075931,28.36083474259378,29.954281217124368,34.17902282364308,36.34576517180307,40.85909835360172,40.71248891196205,43.12985706219921,40.5974421631271,42.752813305487,40.70676597918967,42.710430792076586,41.00966344167128,35.414358301389754,37.66952565521066,38.812086609449345,34.392417762892464,32.58246547876763,34.30927299485414,32.62477307159517,29.030839942261455,27.777403977582747,28.03100427707477,32.17919705450421,35.32868575081066,36.73156743546246,40.01750310006739,43.89950737277652,42.078952661957366,37.45615602466059,40.69192835443774,42.705138548378414,38.19618818394386,36.623984204393885,40.452998414388574,39.81408210747356,36.064665539018264,39.707379328337474,41.7156304664648,38.44093927001619,37.80781280542186,41.01109059877671,38.37916059547817,40.29378517477582,38.599678798815454,40.51657898599607,39.36124134350011,34.05627727126819,35.66022901542981,36.033002507479104,33.25167696293693,30.427754662383485,34.52800194755131,32.83944904491022,27.844379112034044,28.46696466314175,32.19195878508241,29.933173623320688,26.10897430094506,22.864149900734635,24.095170558091034,20.999184237803718,25.03255480853107,21.343900631542656,23.34810813081056,22.840577657959834,18.916485366316234,18.192120215178573,17.669890006475462,17.929329503524478,22.337349514554052,21.142652954816537,23.95500758367805,22.442093467196166,25.266333252558415,30.34498307065184,33.12470341868055,34.66374492471137,29.688806124879086,30.812599004191757,34.79332179096388,32.09798821107301,29.27451800432612,32.95222111714606,36.60489148143766,38.07500538484355,39.565453055856224,40.2930881874645],[33.34089316251868,30.518042205725482,28.617702579811674,24.09437435182137,23.64632068014498,28.37130945948307,27.758356461420007,32.037456931193866,31.906447559534904,30.172258278118594,33.33155427664535,36.840982521050336,32.96709111474816,31.042094696712486,35.62305713282475,36.109179942929615,31.764148469170657,34.17092048771398,32.69169057188814,34.519877580730856,35.66305441856346,37.8973961136435,37.016461038953075,34.2992012709469,32.172711654377885,30.4062467542761,29.931939659662042,29.29747603820588,33.11895468245633,35.52877143600625,39.93815719682665,40.59433549567847,44.91760050921534,46.54642607560628,43.071688432558595,39.3938181685363,39.25822749735161,35.82722314925908,33.25618274880633,37.038765631582756,31.708541326356023,34.252684636471955,37.412290365017576,34.48564026006877,32.33484854477674,29.427295867638634,32.28712029436936,35.296734056291335,32.014071514898845,33.27038739421452,37.98928123598651,39.82703202846232,41.904593997586744,37.791078687848696,41.885799521790496,45.4020896596154,42.22074416131537,41.47852399933469,46.40891300090496,46.49812695926413,43.88821630311672,46.98154411347572,47.090426319127985,46.97497169278114,43.41829964796644,41.451697748518335,39.31395986575125,38.73987402594353,36.014380749588994,36.86529578333401,35.061608602369255,37.61570933400483,40.09334786307384,40.95939209975477,41.90280305432536,47.47051987791867,44.927052561732545,49.080041023040806,46.899847665230155,46.06149503414542,44.89075336307238,43.933979045201866,43.75183204410903,40.95663946812748,36.725562360855214,38.05579814279149,39.28881597887123,42.71985546974314,41.66334548836731,47.112297630036565,45.01468030875915,48.49044205677774,46.53117229312018,46.062529883180204,41.978715583695205,43.74852277333792,39.92528365405885,42.488179741057884,40.97029568798114,44.2021188908822,42.47667311346361,41.9813675516506,40.726506842968384,39.176101116129246,38.58566515572164,35.2884585384869,37.58736106647126,34.65802890548097,32.45878340122103,34.454558598677885,31.06370681502633,29.27481096400999,28.544494633405762,25.46770011626456,26.656381179475577,23.394453258411243,25.69286590735698,22.52210938704443,27.248910820308044,29.45723847348338,26.96418217928944,26.519010813117912,21.790228696147864,22.34947061720035,23.771123346409272,21.94634667774274,25.887012019302812,25.419417726710385,27.31986962576191,30.413173959759096,27.655138493961243,31.713640576623554,29.637079670902388,32.90111905228237,27.01065733699676,25.083531163124906,21.346814216189443,19.387024628619635,17.523125784180184,20.51732461338652,17.916750831286077,21.20734057410144,24.246476917324557,23.945696516448283,27.29057973358783,29.544045058220142,27.090853677896646,29.763047436132254,30.801543213018945,31.48044359589214,34.27875506204404,36.5641123479293,41.0881323695159,43.26395736216431,43.00293498685383,41.55672073719532,38.09129078757647,37.58628817075999,36.162459824159505,33.999336367636815,29.74191065212713,31.818943587795243,26.46510587036822,30.732604572331415,27.61831683336661,22.449035009848174,24.233122706258442,22.162924541004877,20.779298603664945,18.91719010489192,21.931512229819177,22.523556841285604,27.55889201563065,31.069537027423504,33.950378284112645,37.15090542751221,37.07817235856735,41.857215048205454,38.60013387357159,39.45055473505605,35.06086101917326,34.00696965608099,34.92501184240192,35.01022528149793,31.860677556702356,33.86728706556733,33.14977761211948,34.546440287200774,29.101091174707356,31.164466155953576,30.305042939331724,30.525151812840875,29.313777782157377,28.527522706903074,29.92600306785598,30.38124600094637,27.585422701914528,30.91695576915443,30.004262818113983,31.80777058959873,34.875318200780164,36.12148462247189,32.286754966560544,31.72190138142221,36.051640925805,34.29297945224682,29.12784836134505,33.4814735178464,38.041072801555615,33.177945632010264,32.8751936951449,36.8587096010384,36.55154155701322,32.76712311459277,35.025591998331926,32.82651971410912,38.49568495764245,33.78238829387008,35.20567853344954,39.423815990415186,41.73759789193758,46.189555834333625,46.111179681492935,48.337313994210305,45.63852318866207,47.596118030463174,45.23899799088814,47.29915477297638,45.91467246224438,40.16400213741747,42.11796211521978,43.482273943061095,39.225447688703106,37.10867035174006,38.55792310337141,37.29308593656708,33.87600281280504,31.882931505699577,32.49661773222473,35.98772737879894,39.34465091278696,40.966804216087546,43.93522781934278,47.9586786087769,45.71136961400069,41.29641478978284,44.85850355564409,46.50677050295512,41.810800001249454,40.70035856983301,44.47458808491832,43.61402880693811,40.099699107485215,44.06819337393929,45.88960511911169,42.43990387635219,42.26912898012807,45.63826554141611,43.15538565757833,45.054292917842915,43.17826091882197,45.31945858263749,44.391333395217266,38.93187276196133,40.51595108315113,41.206081354066285,38.46327233543205,35.45603625903019,39.713825444308476,38.29720532040682,33.2121519359412,33.62663698382106,37.54734678815988,35.48894102369075,31.6498830009637,28.38186756400594,29.776053661730366,26.657473917562886,30.59171759450742,26.662245980439927,28.440708852164228,27.384032555890958,23.75639795843687,23.238386061865235,23.092712136531738,23.063763998126394,27.252257082038966,25.296926799940238,27.74898269516823,25.568394395014376,28.771670257279816,33.56627419484023,36.63865211319386,37.597080015939575,32.62835176395557,34.324530253987795,38.01120127141598,34.619931079485006,32.30241932412773,36.388553712313026,39.74808635321785,41.15472251056404,42.66993525121803,43.36245131027106],[29.993433211325293,26.856645098674576,24.23519490705926,20.02613271342021,18.412350457413467,23.558552579415544,22.702709413837297,26.80303534720019,27.240787824202975,25.60712140204363,29.002898590448506,32.15133075511666,28.13704809360193,26.887280321596382,31.417910760747546,31.531326500479775,27.30139715255302,30.05730636776646,29.21800318802216,30.542436607511828,32.206819887925356,34.31666965641869,34.023092553223435,31.530826524608035,28.869721604414767,27.05513715142505,25.83982182873234,24.929452587072824,28.526801318207895,30.575350141672423,35.57980060390905,35.60829744043377,40.06133843954642,41.86320765051321,38.19873205823852,34.73121695894402,34.08933700971727,30.997323638144998,28.401954337111157,32.129037636871935,27.20496936926824,30.141382600374193,33.43369581312336,30.644530084079157,29.09277312338449,26.101818508080154,29.396372773672464,31.841674761294932,27.924472153692832,29.625205838168842,34.20792634522857,35.729226152379056,37.87655139240296,33.341806242016624,37.1452917008661,41.01461691005328,38.17202087488912,37.025365749380754,41.89882838997494,42.5021678917868,40.01955227888331,43.04100717718843,43.032244525912425,43.48915064241776,39.87839900762955,37.519567176168934,35.93795020668137,34.99537674548451,32.835703706477986,33.47154812781678,32.1309892567878,35.1398746308734,37.05799069163841,37.973240036934094,38.24287848581006,43.82304184279003,40.92055455210847,44.83813806312686,42.422897779015784,41.49962113489447,39.90649951456365,38.901998813937574,38.30314433391265,35.45641517391314,31.37414287224864,32.72466654073985,34.42834361710053,37.59511581294651,37.11048794863118,42.46821508705033,40.73079074361519,44.52094174626664,42.477695273679075,41.75093787431606,37.63925287263522,39.67330418457381,35.8567603661079,37.78624242774597,36.05777679522235,39.01802981702418,37.11947386915526,36.24816558727589,34.99450967510574,33.1600164570187,32.434170814824824,29.092618677898372,31.347565518758866,28.442116637354573,26.316278044615572,28.30105735690336,25.06981239127529,23.24797168271315,22.91592785988954,19.84429818503334,21.67213296642609,18.607467450604762,21.325600361206646,18.64411562717059,24.08739240349596,25.717950737027998,23.516739446574377,22.674954765803236,17.964916371924645,17.87460808570365,18.946090605257215,16.331514992767687,20.206628695450146,19.346580946959836,21.14081266176974,24.169119134679224,21.515685820215136,25.642271573613485,23.656458190774735,26.768437180300516,20.902537405933742,18.900102996288012,15.138594952631694,13.269899089617706,11.854764401768445,15.092707447045102,13.71350302505315,17.4869750173798,20.185343430976417,19.206646763664175,22.457743914729406,24.526153146745564,21.91336054123072,24.352356691036675,25.07597058813313,25.979320665545824,28.554138398529467,31.227238994639887,35.52703779186167,38.16253272772022,37.878604382438766,36.139788831688364,32.715798901146634,31.85902857503318,30.587852468190622,28.031734237928887,23.835775888793822,26.3087514298218,21.04474903791178,25.38652755311623,22.246278892830407,17.339139390911743,18.869278829717405,17.45390152384406,15.54693389299434,13.288324922572505,16.0610655865336,16.664220498077746,21.74648054328141,25.221969423097786,28.15018199878331,31.229061127181538,31.412192526978853,36.05734173607594,32.89861419610846,33.56667015559319,29.30076368041115,27.903285086882043,28.98170702611375,29.30091929779817,26.186162303057507,28.607852959909103,28.118832288414282,29.87688031481163,24.85914980330224,26.685635444195142,25.847583831762595,25.488927785942305,24.141071778130065,23.0383831603782,24.34200873718833,24.90007048968854,21.83257607162636,25.184247102047888,24.418307801466177,25.92753584825158,29.3164286390661,30.39647655620333,26.546881770456043,26.432583859370297,30.807917471074138,29.03219910336803,24.283207166509843,28.798389729340247,33.16857083117696,28.624002402393096,28.726710833814305,32.74012321874366,32.35062200822301,29.04583870529827,31.640484469997723,29.389632860095773,34.92887606488032,30.54555902065814,31.299635528565986,35.49440958352124,37.74497482550845,42.197709066789145,42.00067280220513,43.79483589021524,40.82296479732131,42.51190828261962,39.8384348837362,42.02085134706185,40.99088024176742,35.048973833045174,36.7625746621781,38.529299042177385,34.437518427959034,31.967538244155477,33.409788031822465,32.750889375192656,29.307357823204807,26.686682586735973,27.22839411958118,30.203741241966924,33.66209906681849,35.345993349428774,38.09756954774035,42.20403050019814,39.76270886978928,35.45816940343337,39.27451995115991,40.777775240172105,36.04611925537197,35.23880879996075,39.13113918859518,38.33026426004787,35.013517716429575,39.086145928646175,41.00350435500242,37.78461718933808,37.76407540667636,41.1047757782578,38.5910015548851,40.1949255106102,38.003350227763285,40.252457689278394,39.749925034328065,34.17365170917829,35.51614846232077,36.66167791796627,34.09241119463049,30.725616218705458,35.218374409855514,34.39366913203288,29.149248719058743,29.221025339594686,33.61801024088417,32.10280797636357,28.178787171226507,24.895096155124055,27.16885449465261,24.34771666308264,27.983982678331106,23.74054991707715,24.629613185216872,23.445586036362386,20.525228252539115,19.49186523497537,19.65810102268828,18.810837120166973,22.53189304642829,19.94728401837471,21.984012894491034,19.698883995151988,23.31813335399787,27.807090093258147,31.043860633542984,31.937358662090936,27.12261455231681,29.20553542804349,32.884020042104574,29.45574479184753,27.652476596464528,31.815313219792124,35.20016834409411,36.56497465800597,38.06426967884081,38.816218949683964],[31.24427365420892,27.984308847978646,25.065710994774285,21.493761465118048,19.487753484039306,25.253645414349812,24.65121820515011,28.66138056772607,29.606927844092404,28.204074651695176,31.717922748112795,34.61814149353103,30.561125662592456,29.724715797448475,34.16527587730284,34.03151341954819,29.83613709793455,32.589165025738275,31.787528911947838,32.711600189129996,34.338175803072204,36.07982617923058,35.90055551590668,33.28670183133519,30.6355554623276,29.218357127839468,27.809184392293467,27.153306342874192,30.74356212385121,32.69149033167378,38.05898545451832,37.742858635339246,42.270967251396975,44.040185701737755,40.20475204514642,36.79983068345928,35.85969313327271,32.6988753999138,29.883855167605315,33.027720194144784,28.362214158407994,31.73522462765378,34.74900354091526,31.720230951846506,30.136358554116416,26.81400442931795,29.88909785258735,32.516570255387414,28.45849706561913,29.57674077694808,34.28919322873374,35.70934723488231,38.168341737832975,33.902536389131065,37.53552070255551,41.586673101413425,39.004939578585685,38.05320879213657,42.885850643505556,43.445964546332114,41.39702148658314,44.66765221133037,44.87467852498287,45.39646862341863,41.656921180913805,39.37845611005445,38.25014751667689,37.41843659304675,35.575487866317026,36.340269312572325,35.15025619356571,38.270001276776696,39.997922024076516,40.71583651615888,40.82685122057151,46.2550772821163,43.06236732626309,46.92315694542457,44.26545043992486,43.04172307467788,41.276709195044745,39.95018971096207,39.22139766142652,36.109921801708715,32.17020661176569,33.94178545482669,35.90621312422256,39.12785050173264,39.00551137942349,44.45740929904582,43.008695712089754,46.972266607200346,45.02926385151901,44.266846995901346,40.22031017103618,42.424528189408115,38.657505518133355,40.20760382935243,38.361295035376024,41.06397899657608,39.015569819296054,37.725498201213,36.406203780322606,34.16787542304474,32.88144324347755,29.581041962675084,31.363977283344575,28.111763257773283,26.18680501936543,28.63316319661027,25.76524201969541,24.29747543341979,24.58745302570924,21.659389873413208,24.053898944615316,21.11939013710091,23.87831948556855,21.275813270487266,26.790286260435693,28.45941041651056,26.501709451623142,25.64084304176524,21.017970514280126,20.670619302717984,21.44117184114667,18.201789282234863,21.497220788242814,20.22206493398962,21.4176812155113,24.208145111410406,20.883389534654423,24.720100868224154,22.673906948097024,26.32235763240436,20.50085473346193,19.239051788757823,14.9824086264226,14.193909266898807,13.69968026606795,16.759471435998066,15.788757433266532,19.1132007626085,22.13986870735303,21.08078215272727,24.036303444579293,26.38034934224772,23.838531271695835,26.230564095041615,26.65076578964577,27.82585450152784,30.007076225873224,33.052638630588,37.04996129474639,39.99851071172906,39.878736082919,37.95090749203097,34.63456912942899,33.36611326647784,32.298422880812595,29.177234790021934,24.93434246025153,27.701475437133325,22.294547236197317,26.35379939324886,22.59070519850142,17.652993872072056,18.335577680693046,16.435389882520287,14.214034096867781,12.875165895128548,15.661995330840274,17.14597122614592,22.099053868917338,25.737062299852333,28.956074757713992,32.06428548742662,32.76110223635105,37.04949244531933,33.71539253690684,34.06471262328995,29.546031021161074,28.1855439639266,28.631039857295775,28.633679682926907,25.771683122156396,28.545541527649696,28.58620191968678,29.820088336206844,24.87024227612124,26.131961091468263,24.815112323189716,24.64864446014617,22.81647197891608,21.664524312219534,22.79240956600511,23.03058684173393,20.302740626717995,23.678575165756644,23.033923558570056,25.134129230231473,28.25542410306906,29.863664213924725,26.235764940023174,25.641344387739224,30.10804810607545,28.88584640951369,23.9768968385905,28.19441426937607,32.92458661404237,28.79951949288455,28.626328847058126,32.60871108545624,32.72046390798289,29.478370095215972,31.64396121910976,29.086497777549212,34.50321677424939,29.45727514523489,30.307323466549263,34.531505394050455,36.340311118418995,40.996179534527286,40.3634001582033,42.28321877670808,39.31710002024508,40.99616686613659,38.525440891599,40.34648933176082,39.1674829323237,33.43085191547531,35.09467015479658,36.429124424919664,32.334889936120426,30.04547721840737,31.288799143599174,30.269432222957445,27.007254390299966,24.59304713626607,25.55450526898106,28.914514276279927,32.27037413558613,34.215822529120125,37.208409658767344,41.41875418524778,39.29739138642324,34.86049406205072,38.713281983797586,40.56864491882353,36.00634303621502,34.992393044872486,39.09890853374559,38.58755510111563,35.15285782002366,38.92187966250346,41.12334694992479,38.18782999423816,37.73800126671004,40.86686843357618,38.11679252779106,39.529630680790454,37.30167570596659,39.1863338432535,38.73230430707185,33.329929589730746,34.31174004765522,35.230638484581746,32.80630374032632,29.306036733323577,33.377146502659556,32.52790166936507,27.475705164541694,27.228226201614007,31.363814291805358,29.88724101027771,26.101922608221706,23.23757218255484,25.09126475122252,22.68554874573767,26.665230521446745,22.908642421265,23.94228927640774,23.48416310669443,20.349894815983017,18.847064536671866,18.317556067286198,17.376586070178107,21.301708655057805,19.490172435321508,21.386209293520213,19.940712257837824,23.68604965670894,28.16493248024424,31.304732043583762,32.63840030917262,27.958704782515685,29.827207144528252,33.7447911599401,30.780730370019782,28.86305164625434,32.739715392405614,36.34614695204656,37.72267206248322,39.165046322043935,39.90579686048824],[34.97090576302737,31.779443879750417,28.987412966299246,25.19324927618911,23.270695242517114,28.816136445882854,27.93203985279955,31.877641987669026,32.536258019128724,30.70614113082709,34.05210376674997,37.14423909122179,32.78693358128164,31.70572492030054,35.960122695708264,35.84614828635075,31.396781989376976,33.67367489726985,32.2222108555903,33.21175877918158,34.337995775750024,35.91307629595489,35.34549177713677,32.491399792650704,30.22541295502128,29.12404992030497,28.210837936431506,28.075025254551655,31.983585806593734,34.37780799899571,39.4709323629569,39.6126555843394,44.09087044273647,45.49278304108338,41.66988121763858,38.01095812871755,37.46003893005154,33.72583944550679,30.75866566426723,33.666012881494524,28.672365260686963,31.914521324762962,34.66101795769192,31.391728791041427,29.306895065619262,25.924990272005168,28.617939721637846,31.726303989094454,28.156031207928127,28.78061745927777,33.62814164754495,35.32044926658577,37.77441322882288,33.95411449222451,37.83365282531357,41.58692283618579,38.77963683500339,38.28619817479716,43.16013136661017,43.216422956747074,41.25616121148966,44.751979682194595,45.22677852268367,45.283080214835316,41.48203844767761,39.60337538535398,38.361481852777764,37.98744593751681,35.9877081241688,37.1859802264643,35.77875871267913,38.719531469663224,40.62863751980263,40.99585581941174,41.54102652263774,46.791054719925604,43.62482901124693,47.6969304026382,45.055843280746274,43.68154773974686,42.28015622072084,40.809167481773144,40.55878874539316,37.391969107857285,33.301920274469,35.2770522592471,36.81509802063249,40.43765061826276,39.90786092316477,45.60100881561945,44.040400777391376,47.88628091159255,46.19855591961469,45.75476440928948,41.875837943374194,44.11888216065452,40.494755608967,42.272221573983224,40.7106909544449,43.76562891608225,41.379291152089316,40.487665848113984,38.75720798887009,36.913746006772264,35.395718314273694,32.462038361568574,34.373913739554276,31.158389162420704,29.57092886847571,31.9311561729598,29.216465195633536,27.343227456294528,27.61660356418034,24.318161126341348,26.23514505521404,22.950908847017065,25.171851086689934,22.039695826732313,27.061000884326585,29.366122278015478,27.483017500663433,27.12388975708321,22.52732303698076,22.785180877284315,24.120026736623505,21.079562121251733,24.95472175385032,23.46228610134651,24.724847008298042,27.113765455826424,23.975887242357032,27.578889444471816,25.064638431549923,28.738899238096817,22.895724723598,21.81323874908518,18.102980169034062,16.79389319102643,15.877831462361382,18.403158674155243,16.246423600155303,18.901881750257488,22.45358103854281,22.029971343677154,24.91232270227734,27.739527120102423,25.482979665499087,28.345585185193542,29.172325311672708,30.614184801994433,33.11351201999383,36.15203993135166,40.25072802338806,43.25467513275596,42.87053979609031,40.84854753171587,37.34324613790399,36.227774130232724,34.75344666831102,31.84885123153839,27.187982056794205,29.41368489134885,23.717394752794885,27.54190569812944,23.62104400747025,18.368400859227698,19.390979760696165,16.79496034187265,15.467615417889252,14.427965564333656,17.56547720309096,18.963906939160683,23.789435921589718,27.523837794799583,30.784134954938086,34.17500500377251,34.78398574235523,39.031532033227876,35.383099524131666,35.91188189294351,31.10720234259741,30.45704227221957,30.511923981139272,30.154682733259204,27.20142146430774,29.370117981395257,29.218095478089456,29.976721394303492,24.612627179560068,26.092291046469622,24.827589274695587,25.28432930022604,23.817907931065545,23.226930170226105,24.71326322134002,25.261617062088035,23.10062751676232,26.696387104857994,26.449685835525827,28.657730844230493,31.8839364101989,33.59339105701948,30.012486095746407,29.496230478174635,33.98466566140504,32.84438583451281,27.983083139411338,32.16281179212387,36.92460067482144,32.81705549037865,32.62243684265085,36.603114692631934,36.71377604092442,33.40567340913137,35.534391760870776,32.96773149641029,38.39823061881044,33.156482264590515,34.14430561979972,38.37391688852497,40.03201494603064,44.74892448138174,43.932759558923834,45.906420464187995,42.91874166716621,44.516263044875664,42.053656449720684,43.645561239713295,42.51158671291236,36.894641290509036,38.36671232615897,39.46880510115268,35.48581225317142,33.22029574121744,34.12946097294652,33.02902763932585,30.05834868998313,27.47715856732567,28.938601481943774,32.14840222819087,35.520827642725244,37.740703438269364,40.68446286853463,45.00850213575151,42.84190497753805,38.474620241253284,42.486921401899316,44.326940418546926,39.76572716910452,38.877789445378575,43.02623133933287,42.522451752228854,39.13690332121747,42.91109105891571,45.12765566057805,42.19041329410242,41.75748036581227,44.87366124969109,42.096298837127776,43.45721148415411,41.17657216073711,42.95862607299361,42.57743329792535,37.23194650026227,38.05189228481739,38.91956445956066,36.571853461668674,33.00552005701417,36.831909756089644,35.986850525779325,31.073753625793717,30.617568794565155,34.54230280953545,33.07035343790392,29.414282878396765,26.794059360646887,28.220812789352223,25.9380488076184,30.13546968811932,26.589311238817928,27.837413079107822,27.448993540967898,24.16618912422741,22.732472966209784,21.998202121217346,21.148211148476154,25.122978149491928,23.42353347186759,25.104040439417783,23.66912388444883,27.583132366095533,31.919711118467625,35.14867960936673,36.347142541718924,31.720425319428927,33.75500204428682,37.608320923564364,34.44891804157588,32.68054539574656,36.65188166406329,40.1909287541978,41.54414416899077,42.97241041080269,43.6679756683941],[34.17465665456198,30.980314480288698,28.08390582288449,23.94786408165409,21.622510611171514,26.652557565036023,25.187078831727437,28.923127120177746,29.32072078933733,27.05361352402815,30.25533782047699,33.408490968667614,28.810489711282713,27.6781041263452,31.74641201185691,31.601679238649492,27.05544523462608,29.16908248870819,27.63796611523016,28.684255740201063,29.83974175803849,31.56419426113875,31.027202018871815,28.29326034072899,25.90423350603406,24.616442997521155,23.736148402956,23.586151110070062,27.55897642438072,30.117282035946,35.046560529526545,35.409970366549075,39.840908930161454,41.11100110479688,37.34316234831986,33.60382540920604,33.26680481292761,29.422873282982614,26.540510600956146,29.791091526394794,24.60549744879051,27.606053651511733,30.531652866458398,27.437800231648726,25.478485409287078,22.343034345520735,25.351374123295404,28.162308590617776,24.594833469296574,25.852905361408325,30.54989213864815,32.2960398561531,34.46754801549213,30.349393469737908,34.36194234259122,37.98912218868471,35.00407783925338,34.33016962591826,39.23317849713612,39.36123823942619,37.10483526677136,40.45067775533178,40.813773370492,40.88357311763857,37.13560808570302,35.18317403919869,33.81471890621548,33.4152337424072,31.410326824432136,32.665232815652544,31.28704838011283,34.27981152463404,36.101437198899355,36.424037146762885,36.96730332665685,42.21733329516735,39.10928855152128,43.210762873540666,40.65830938352914,39.41307612610052,38.14002198358721,36.851381892935976,36.76823995699447,33.78265932384374,29.560426375486752,31.293154074528633,32.603062076374925,36.267363800916975,35.50238709686561,41.19752912195703,39.54029924858447,43.339307851951446,41.69339206168179,41.342964432726646,37.54074738980544,39.82509019046374,36.30790655287573,38.139638645624956,36.77291497492586,40.1076806063725,37.49461723581158,37.023683383452926,35.05223919680097,33.68153226270971,32.407376102222,29.69478365107596,32.08212966865875,29.234165365042063,27.779496352111867,29.652275410665332,26.897233013942706,24.412369574634926,24.46303364378211,20.81706864362881,22.282616013814387,18.816527143164645,20.763380509828803,17.514456781749455,22.49169993690938,24.84836670853277,23.05963651442186,22.8817152029596,18.399804745910725,18.948714955206434,20.728362277643512,17.86416741595508,22.49288089877779,20.872585053237106,22.55497503446771,24.757576459745117,22.43075987599705,26.168974578544823,23.453118897703746,26.534486947041618,20.661196219936304,19.034245213382746,16.192104490763167,13.749127965348448,12.195007671572597,14.386787084669297,11.76328577845019,14.570345445833786,17.978879766919587,17.664223050127582,20.649845466575904,23.46569950996422,21.300333082060376,24.387813403412682,25.565601656723913,27.14504563092341,30.02943754102311,32.98061250540087,37.2080548449923,40.271771953466974,39.528092969678596,37.414642860350334,33.73650264059516,32.86007110822985,31.012705051573075,28.51691646802127,23.65544116499905,25.458011529716785,19.7673982611711,23.696092060438737,20.234585326981744,14.96831765256074,16.879172193690692,14.82436945873118,13.979681358414746,11.959525591577457,15.15140028642873,15.715917980992167,20.561846749384756,24.182185819799486,27.229010460840804,30.702604451371805,30.95872758447241,35.38651310775897,31.75462315897425,32.58170768172743,27.909846470740487,27.493463601637167,27.978760622535567,27.857706040778087,24.61400573725667,26.327183911003218,25.67823876336322,26.91748933786046,21.518676581236374,23.56764506854578,22.873322046581144,23.077420335921346,22.23998512077347,21.81088019592545,23.633396354518936,24.76938114610101,22.434656593810242,26.177408272605348,26.191901579683073,27.737109273619122,31.49705710835634,32.68283201618184,28.954365081895926,29.229463643908456,33.66557604369956,32.0986748034973,27.745730103012328,32.22845359112675,36.536073862460526,32.338827559726745,32.64475066486413,36.638195399664056,36.255765523288616,33.212883967644004,35.889999258503806,33.56976432241584,38.99305529033309,34.46730950491706,34.995076652571875,39.172059717214566,41.09485872699137,45.65678355734231,45.05604437124532,46.642352067654365,43.44510377538723,44.81097356740167,41.93656794112386,43.81506737248281,43.10386944335756,37.226015481960786,38.45305544959775,40.11785200157889,36.31501037429616,33.634182475913825,34.52698005033386,34.164080587048474,31.16156326254098,27.820317219900232,29.15460004419405,31.54112082529046,35.09513774798911,37.29498523413084,39.82421515419995,44.18018015334686,41.55086968991564,37.443307571830694,41.70131319063429,43.098986805339266,38.379720406726875,37.98519951469964,42.03273435212053,41.31948656694291,38.235568051778685,42.333475485374365,44.359077128306026,41.346539334518894,41.41461131536042,44.67759328280878,42.08737945233664,43.37783411866344,40.881045224898685,43.00366072305207,42.92341306299457,37.38823142003717,38.25824100296863,39.622321549333336,37.31351003397556,33.57821673327122,37.80762857820765,37.40241070542466,32.28395801376387,31.751757361706886,36.14110392447068,35.01144492346165,31.236155317080243,28.367475390529766,30.53295800907711,28.140708244255134,31.947126921957523,27.91030010957441,28.560890036760167,27.54159933764226,24.858233252318755,23.50924539361149,23.42249356095781,22.13606312109015,25.631018782561302,22.944003779554208,24.259269244590097,22.11104455924238,26.294734451969827,30.25090980560527,33.71320736531829,34.37582273999332,29.845980614272033,32.429597708333375,35.979542666709825,32.29824703399622,31.131945295415925,35.40339711483868,38.67532323891159,39.959654348383964,41.400440895352,42.10590342747571],[32.2894320427571,28.881282556799963,25.40978982521738,22.074651599243257,18.829025909384452,24.52332044157154,23.251574852524158,26.79056530168585,28.008928960571655,26.210217261040878,29.66617822958555,32.31577386742603,27.80927453068807,27.48959051724097,31.511880289668998,30.975419404968388,26.706398881015847,29.22588953057972,28.431647210942266,28.839331747229455,30.488270103406936,31.908686679506527,31.98216764980802,29.43903357847063,26.61878004758642,25.494603852160363,23.799058962924352,23.434289230637525,27.044344799521433,29.062178412925526,34.69566515743985,34.21739458517881,38.774983462007924,40.2900079463684,36.30103839536707,32.88113704014134,31.826740228535698,28.434999071031932,25.455028741748528,28.259629224769935,23.755669089233177,27.39147247704476,30.257433000581234,27.196618646783328,25.83828498794226,22.456916755635866,25.654253492479548,28.015643673021078,23.750073290577667,24.980952840812318,29.599420511230456,30.930265938749002,33.41393608596123,29.084548174979663,32.633897105348964,36.74760521836935,34.304243757292234,33.34691861575202,38.13123505820173,38.750106091166984,36.90019447597392,40.27610878278909,40.6146014289658,41.26950511875208,37.453439224393,35.174318615097654,34.53329504302795,33.797674111960625,32.43342474158708,33.428050468463375,32.523145268035805,35.86295294281873,37.164767518695434,37.54829236052006,37.40282658833905,42.592107971242605,39.08255269446892,42.88089857951788,40.01820283823681,38.565602324052975,36.74429498136051,35.236591529449825,34.57122279521666,31.357487624030515,27.433254258199497,29.436521690938577,31.443652947137334,34.78528240905326,34.841313832348334,40.404612651102276,39.232554411005566,43.36202215236544,41.6289918504035,40.957078909188404,37.130051610713096,39.63793678155619,36.113489696029134,37.20433716651451,35.50210466112792,38.301885253069756,35.655444754194185,34.45646200504201,32.628568581389885,30.587024654418,28.866399387196164,26.01096956440153,27.93325218495352,24.802447162758806,23.45652449179361,25.71781437976494,23.319458438630914,21.26360107635797,22.08634589165662,18.76715473587931,21.28163016542322,18.294669937883576,20.74645395789545,18.232113437975077,23.756339345091,25.43570760415935,23.979615011343917,23.30986058108929,19.015296283508956,18.67844834484128,19.70217966333361,15.847260385537178,19.64895234940466,17.515065442132496,18.581699518958622,20.652769597668648,17.78332593165631,21.40540169095657,18.825321025963135,22.26808059111254,16.41269305199714,15.331228882639193,11.892841889952418,10.680020781721687,10.590793399721225,12.932315288321504,12.292116608789977,15.189745177423655,18.248975299827222,17.113380178945,19.743459417734023,22.396384514367874,20.08499406134724,22.71879608983445,23.251507809781092,25.05688151523387,27.331511498632054,30.777499084065095,34.57452153105548,38.08259896352095,37.58036455306522,35.22167005617931,31.760682158023887,30.292580121020283,28.89327497990852,25.6111102860013,20.94582449029319,23.49419894718896,17.92122251233645,21.72183857532942,17.755571167396294,12.827929560859193,13.536477709325458,11.825371372397505,9.83579489427648,8.230317411795413,11.169479121653476,12.661884393239102,17.4849661865686,21.194781238581953,24.51209962027536,27.804501925053348,28.688614635815327,32.74698076415604,29.17645954421835,29.538050416460354,24.84659881768369,23.93324024655858,24.138219064330496,24.045616146723983,21.064472517497457,23.64821795303582,23.715369749698322,24.93536719012993,20.101376674206122,21.356011364239773,20.21164915455859,19.909120221085004,18.38466660090803,17.466177506442186,18.972389387503174,19.845629909615496,17.427415130765997,21.15816044199409,21.286567710959112,23.03348813522818,26.755815084344835,28.192028471745196,24.640019641250333,24.83296823595187,29.301400431213416,28.12302413267163,23.977166917117266,28.27029882876171,32.652414870857854,28.990622940442954,29.33419341300033,33.256769141599925,33.18763070989757,30.513220614905645,33.03798342592283,30.530108096433448,35.702015261811994,31.04598512651827,31.21228723748461,35.329575267736395,36.93441100592795,41.56947925895885,40.662131008751516,42.06851194267405,38.75240817460496,39.97448784397347,37.07484121093622,38.827800366608585,38.20540685073726,32.360342502770976,33.45310482984983,35.11422571209541,31.40176643636497,28.639250929471547,29.471114530540653,29.26406124478772,26.330995907343045,22.775880475893832,24.240138855794658,26.58613556646948,30.11398807301426,32.45624348464866,35.04200948376032,39.475105856705895,36.997159594067234,32.842305070305144,37.207784859048274,38.785811239425996,34.19406856318103,33.782164893565614,38.014058621924235,37.55075923479944,34.497240244297856,38.3940253102886,40.65789862610501,38.00039812083778,37.832470603775455,40.903130761171184,38.16000378378959,39.156584500315695,36.491439809476354,38.430686324219835,38.60317315305312,33.16189724621589,33.6713127164331,35.145498334321616,33.04409989254861,29.067081963435825,33.159550507966976,33.09387430142525,28.059531408968535,27.15244381748689,31.647462353370727,30.884282137722103,27.195984465128838,24.615026819026276,27.06882013809598,25.156867752302706,28.84463065780977,25.00946899270024,25.168629129901202,24.573954404255705,22.28230766222611,20.369882277328486,20.075310463411864,18.222598264258398,21.3894043021516,18.86328258322235,19.78059340548609,18.24099897855882,22.68540687844932,26.429820039955892,29.859256262905838,30.864829702208326,26.547989188541425,29.108593189673442,32.81603635908639,29.575882734754618,28.562453159178716,32.573799116371575,36.01308717241454,37.29380504507911,38.686499089709734,39.430282352549256],[35.55366517097658,32.134183342660386,28.671870168810848,25.67016757108822,22.603957209382415,28.638250279387396,27.640575890337626,31.192822717987273,32.57599848813261,30.860289981119433,34.32231258077222,36.94012826744459,32.39060794606195,32.113864009486925,36.067945428437035,35.455035450268205,31.124125818840852,33.41348445167886,32.27802091654396,32.506517340520155,33.797741823002475,34.8384873118276,34.723165352436915,31.914618090169633,29.423492486846293,28.80066001810127,27.326527097282437,27.423044632469498,31.164212822436834,33.313713016737154,38.988810727812066,38.51860697548955,43.076201013062374,44.40660802947609,40.334339447109,36.85366068887966,35.79667962472613,32.09527783340123,28.900244045206463,31.022569013440908,26.601927501345433,30.464133814472056,32.891769845827675,29.481002018133104,27.736780127638227,24.03033118306059,26.671892262268017,29.572300896650287,25.576707132468933,25.79214645188126,30.619968607276345,32.01978231444868,34.81005211214597,31.11771847679038,34.6287722031494,38.693729230458445,36.36630643738745,35.90776527447031,40.650071520790405,40.896331552313,39.507866489915386,43.215985778379995,43.891282240515,44.28977095087169,40.35775212958786,38.415173228910476,38.010979417322716,37.624890300531206,36.3271803945167,37.612643477748236,36.633474523528456,39.89149993976649,41.24947206427492,41.347638394057476,41.38411679169463,46.368580566839604,42.70652142761466,46.571479492188864,43.55851953180502,41.79275942302346,40.05390807225919,38.199243630411985,37.6917901811663,34.23899625235039,30.408618612107826,32.871132116159174,34.834243617386264,38.40760855195807,38.516089673928676,44.242458607147306,43.20630890574061,47.36083685113782,45.819761351612094,45.2795040714092,41.56367942877709,44.146891724853525,40.688229949595616,41.70808236546464,40.03316855239143,42.76497368412366,39.97315671693338,38.60872854451327,36.6338129738962,34.41646574173533,32.145992603597975,29.483407462762848,30.9473770190159,27.505692579352623,26.445267007549734,29.114682489781444,27.05853184433077,25.298794831233636,26.474735746941143,23.245943330684273,25.870842640727954,22.844976690688792,25.088536685895455,22.341852271238693,27.570451352800273,29.628829023652766,28.269413899205595,27.80818222195018,23.50503461512568,23.30887137342761,24.323316149603226,20.371554082640028,23.79359599919356,21.5005565642861,22.06786295491715,23.80176983960891,20.317210726964433,23.42705551345165,20.658108099957968,24.684512031125355,19.039249686551024,18.844553211762033,15.20019011302605,14.876059656937997,15.13667748492222,17.165095191963616,16.067937403837316,18.18971740861774,21.77868439221793,21.008237259615896,23.353488466047143,26.410878566988007,24.308353333656395,27.058548254199863,27.521338454085697,29.50192796008112,31.562281451578908,35.179711513650545,38.798617974522685,42.435557581260014,42.04080162909035,39.597161683983316,36.18964201813586,34.51394008035207,33.17061764268744,29.590969261507876,24.838874392693782,27.342112837548868,21.632787832274573,24.982933173326497,20.42598298557335,15.4424698941962,15.36703636675846,12.530787882143986,10.872198172009238,10.895545637678305,13.830248685449947,16.12282517807989,20.55226233212958,24.367729548125062,27.90708937454407,31.300729590717157,32.56444625460786,36.266554999173486,32.43229485923496,32.57639529983401,27.556418419005585,27.040259710565614,26.375874608850154,25.711894831131232,23.04197345667942,25.60833229358755,26.119159258379103,26.431340510254408,21.458444767837605,22.178497433268564,20.454065570526293,20.87130699864451,18.960493228090893,18.356779255900307,19.787693948796196,20.3342704579227,18.711172585624777,22.448687587176597,22.787777723752527,25.279474732719144,28.573850205999538,30.63112966978322,27.359391946129467,26.916723485921587,31.424872301335533,30.83039014046419,26.408196389962782,30.323533364847364,35.11342917289604,31.75371985461099,31.68991657289853,35.56846475711811,36.0025820724182,33.20308767538588,35.21383451631855,32.4278842120604,37.52349141669462,32.06691486654577,32.57269920152073,36.71311526244501,37.8302102023923,42.67722481277678,41.293562565527154,42.970697077411714,39.74855262793223,41.0085404511038,38.44611132465695,39.67939429406569,38.803725003351396,33.32348079090904,34.36348201468376,35.320755473947585,31.62237123065092,29.20404011272169,29.677384528454024,28.838895898796814,26.26147342089379,23.11599615487614,25.249000263068993,28.11737051578355,31.46013369425285,34.13235621802952,37.01146641722748,41.52877445659922,39.45726829116718,35.17978491096057,39.50748108218833,41.48293028938064,37.104569145459585,36.41128341849593,40.80714616397382,40.61328133358148,37.396482132763374,40.9488027095188,43.460772403808186,41.00482979763536,40.374749751163804,43.23632811216996,40.26604456482294,41.14603806249452,38.54316973131286,40.027857246890605,40.13904002328485,34.956328739440664,35.11982481182618,36.18645220645981,34.21906567980198,30.222377960037527,33.67898010471528,33.41475967671899,28.711274851323125,27.499797975539053,31.45702745792425,30.59583307643847,27.153053873037905,25.12489373927011,26.731488362284345,25.231503643784922,29.39281423117437,26.19986647171667,26.837468373575717,26.975479556104638,24.207288292233503,22.0689868063801,20.96519964063891,19.341485386055112,22.8516009011714,21.388537947594916,22.287634624138498,21.617712715938502,25.971966920170537,29.78180763305606,33.048950571270026,34.46194002218198,30.241463078068687,32.47848518050807,36.39238215497806,33.552380405166396,32.26050439766167,36.01678982921906,39.64529389516313,40.93782969684787,42.27759786813911,42.98386156455849],[33.23897178540327,29.844031229469874,26.497886626052615,23.76580909089389,21.098706023462938,27.38548691799505,26.92107648075292,30.673182288691784,32.22529799473924,31.008543691826116,34.613341699677434,37.16535858405999,33.01301488060128,32.738200603835146,36.97457929788423,36.489480380603226,32.36604920060179,35.066357471348056,34.349926112420704,34.72093053871825,36.32108191679576,37.57315809693368,37.60444081575956,34.90681571442557,32.24936597598806,31.330982485797005,29.646006037779596,29.302229329943394,32.82255016953666,34.62873051412583,40.418826932263606,39.66411144325395,44.25223673539742,45.93592732860088,41.899577778396605,38.605853364603604,37.29368823232558,34.07560710545472,31.03100543203972,33.38444510875075,29.161071729912408,33.03605654761788,35.67105983469754,32.415440338003414,30.90053216732458,27.249209755360457,30.046188476033418,32.757504127484566,28.535072587091346,28.96823470626166,33.725546758470834,34.95673013615866,37.77380345094376,33.8611067888739,37.20150169001407,41.45759587402102,39.264914190047136,38.528827656661335,43.24804809033678,43.79602303494159,42.32073045997042,45.86251324969547,46.33137107164988,46.980051286839505,43.10883462199305,40.91830303260797,40.42122134470708,39.7117964665416,38.336820234380994,39.25990084795095,38.308192176495474,41.59304361058658,43.00735972838858,43.454529083214965,43.309611994536795,48.496659356361405,44.92305491105004,48.66906767185804,45.70372891196935,44.09887728795404,42.11848331708619,40.397758409276136,39.510758844532475,36.09439445864839,32.397554553064744,34.675570166275975,36.94999095718161,40.202549192166984,40.55887574185015,46.08624132683558,45.04181237090821,49.22184547043231,47.433907142993284,46.63861566946337,42.725923414003894,45.17203085954123,41.52199902959929,42.535708939431466,40.58849690695909,42.989923486861805,40.66971813962783,38.91381022180581,37.439539869139004,34.78220499715038,32.757661744764135,29.646105985576746,30.84206462605784,27.238984481708425,25.728415445396067,28.65283106802296,26.38001853252607,25.246116543674898,26.334038117595682,23.56090600659966,26.540019281814622,23.792187113817374,26.512554888232778,24.07723065965852,29.616977134684323,31.274241722441033,29.678494725784073,28.81895660562316,24.386194567903743,23.773496728779268,24.269791539785892,20.35377030619852,23.026842332993628,21.15692771889661,21.581057760506702,23.851659865904715,19.868954252652035,23.15759420477529,20.991667794307514,25.205461185898645,19.625711768789106,19.37679586619702,14.901386716411857,15.363191483335857,15.909631065646392,18.545018200582838,18.139610515948757,20.85048026132006,24.103998020268673,22.93883670359611,25.440568075978355,28.068236875570832,25.684683195350235,28.003017175286914,28.086353845735978,29.6601369709813,31.377409177628216,34.8912162677793,38.45663309825052,41.863070751279274,41.85382642234942,39.633456889693946,36.44527578115843,34.67590360248413,33.79901053379099,30.037569573356137,25.764036844815585,28.787150353573526,23.337555546865588,26.92287572941043,22.49940671506476,17.770793616529872,17.326981143467407,14.961227440886915,12.442785509325223,12.456344383826636,15.012750495172972,17.493517650042005,22.041221967244194,25.77019301515769,29.27873448470819,32.38935293727278,33.721752589008325,37.48970868211741,33.95584257352991,33.90810397377716,29.137950415735162,27.90979925428824,27.515479287669283,27.102716277679708,24.622738145570064,27.77381458928131,28.487263175245424,29.069515817034386,24.381876276227388,24.875003488132215,22.974455190026138,23.006576596958418,20.601696234663645,19.43443631102121,20.337300121223223,20.231428736844855,18.12836197446926,21.516518443878315,21.23380263165705,23.990735776982536,26.835454753592987,29.057140987662812,25.80036103942792,24.799074388259122,29.29639818134024,28.802528716654553,23.997316225466914,27.76847458598292,32.780565734091105,29.353520407607903,28.987625942196782,32.85165158159159,33.518819514079745,30.553355246541827,32.27289086133044,29.395697530380342,34.512367632827804,28.818878240483173,29.578812525066244,33.75178956358316,34.91479709867586,39.787438203921155,38.516491672748536,40.442692856833716,37.41394843477357,38.94880592631909,36.65419301240259,37.96999252465003,36.74445200592467,31.304478129815127,32.740447774448135,33.56481265309529,29.600563562571153,27.461512727940555,28.315355420989878,27.00778458082922,24.12258612141612,21.74738868223866,23.40458378458571,26.984095737005166,30.192824704201122,32.55262641039299,35.72723470282324,40.08165175082492,38.30379266653091,33.81503520428783,37.79188057072426,40.00380392846457,35.69531442782917,34.58095806965558,38.93758408942855,38.797958698074495,35.352383206517,38.739503893516456,41.28537009190978,38.792816304145354,37.89945717777514,40.72182384199303,37.70672932520204,38.7554762853422,36.390852870580865,37.804690650248254,37.582221301305225,32.45298643335844,32.831938205646246,33.59273768050527,31.47492748679457,27.71730695997962,31.177089269472376,30.524478711796444,25.805030930285213,24.935448781506835,28.762978637094623,27.56414161395094,24.05195321486507,21.910705943190845,23.33808259320213,21.717754789018837,25.961308723153696,22.89652357972308,23.823798735163827,24.229815949974615,21.177010031743595,19.036362466550397,17.69869881215141,16.393609312894117,20.232043287966764,19.308677135998288,20.71971532826213,20.35044069499998,24.28402613410614,28.479707049597902,31.513084816435832,33.27904568647703,28.91817601625795,30.665929599126,34.75827064725347,32.30678056696005,30.500152853397605,34.028528242626344,37.80936734146981,39.158157129975145,40.50719712138696,41.23181472106002],[38.29317270946847,35.01297799022459,31.96176625425383,28.810373169320737,26.531743843617768,32.55819703070717,31.857753886342824,35.66398720267761,36.785539891024214,35.1016214089486,38.52900799831067,41.38843690840126,36.92915486486697,36.242484404396365,40.34634051427728,39.96325652125245,35.524303337767456,37.68009731926083,36.15112709022916,36.68150907391442,37.63308776785049,38.699015932663215,38.18692965951179,35.168647098557,33.06022385821242,32.524622174863175,31.510266594138656,31.769950706989675,35.68722588574685,38.04667025669594,43.451520769963466,43.30731033675771,47.83437526968173,49.095071633126885,45.09734376161869,41.47799829257335,40.682775718288674,36.76775935517072,33.55520298645651,35.64031697411134,30.983698505866304,34.64791001031438,36.93188535375226,33.36404034546585,31.153456652864264,27.43085662832446,29.629665232243223,33.04257251930734,29.531281361190242,29.20363041301565,34.14737100593709,35.7490999047306,38.56944831689806,35.32095878963522,38.98316322884487,42.8203646765511,40.32728931663218,40.22348160355178,44.99213400459625,44.846822066227936,43.492805718411695,47.32330764907027,48.135621211854755,48.14757445824719,44.21138860415803,42.55656710687333,41.85012068124951,41.71753841163724,40.07064882593479,41.49967552394932,40.22792408016015,43.24672885477166,44.961445712973585,45.01687462149737,45.46752479902463,50.45955396445218,46.968856350601406,50.9963271154993,48.0826815467162,46.31041191425356,44.813125258584805,42.91987049066194,42.64963052281626,39.1880517294582,35.300232003647054,37.80550419773008,39.518347248036065,43.27205695358374,43.07374976626545,48.89591658179284,47.66360864150645,51.66648546354851,50.17101546654789,49.76585972409349,46.02009570184558,48.46251484738516,44.93904857296999,46.33196125021976,44.71406632662364,47.55624994155021,44.917128942484446,43.65945724169493,41.75243404759554,39.57488447998834,37.35222716477281,34.634497631461684,35.99979177787331,32.4587627539056,31.264114336436805,34.068564738471316,31.857629769340964,30.282296288138994,31.196576207637666,28.002387332092844,30.36668434487002,27.180764120958923,29.32732154066318,26.239134324426605,31.17374216963508,33.605776319892065,32.01232499034176,31.718510200832274,27.233857861051234,27.331432961932528,28.471267281635683,24.911414117746062,28.298739736778103,26.36275749051211,26.983787625772095,28.907657733765912,25.18098593986122,28.205888363099554,25.53903015313223,29.746863315727918,24.172676297058278,24.026595852424613,20.156825631099785,19.839238610919644,19.702922680058755,21.890542221965188,20.0326013863123,21.987416627153042,25.85861096871611,25.482567822345956,27.949802768730965,31.127127621054633,29.04849736363873,31.917799151444605,32.50562703710904,34.286630070441376,36.42132544674649,39.84357789234287,43.60589925232924,46.97115844250222,46.69578026940463,44.43991734113907,41.02420019960642,39.49735106178282,38.154718330646645,34.71331223323124,29.97303890329338,32.34260420427899,26.551820417850664,29.889842730252546,25.317263688953663,20.212893375456176,20.24519571845495,16.953745506594785,15.71599706630561,16.023836003615628,19.00477866685259,21.26060723120875,25.682447099789744,29.51135614511693,33.0450061653479,36.48848504111196,37.661413826840686,41.42420674330946,37.52572322984721,37.713680950368726,32.6098596820951,32.24185587601217,31.397698548915823,30.519760074837674,27.95387686656209,30.2968484558779,30.758324584179253,30.669950541952453,25.442369784616186,26.17633910175193,24.31008099808221,25.256592929244995,23.343041389815237,22.95094196363341,24.280266819690954,24.51199250543926,23.15572363278654,26.704246166057015,26.790642702091457,29.66405912072472,32.5218328288472,34.85494811462266,31.633954330369882,30.621730201691115,35.109183320527556,34.66581325838319,29.77567615138757,33.497154239845074,38.58493638802354,35.044717292728514,34.55322750031992,38.424951151155796,39.100566261767675,35.90889866251495,37.521417064746,34.647746527723214,39.83103432959719,33.843542676675554,34.94999778111624,39.12605266554367,40.13957615383951,45.0540182534194,43.61590817609199,45.72808821239135,42.776177042019484,44.29185122215621,42.121696875066,43.13049355970513,41.8502880732801,36.65485630914701,37.9408194830561,38.35923484855503,34.51608702801959,32.549475124782596,33.01801215316192,31.433462321879173,28.947151390513994,26.63988629695226,28.817248425493478,32.33071250289122,35.49558232438002,38.11134525684391,41.27706025676626,45.710670293742886,43.94847399237926,39.51664938204672,43.57552136867008,45.808349048198465,41.50758785556997,40.443001092255145,44.807341851836455,44.65409910708116,41.195691044105835,44.57058226597277,47.1072045072152,44.53811329705357,43.62197408890362,46.44338911499855,43.40758228946226,44.48724248459905,42.165152976404826,43.43316442024764,43.162955341578545,38.14268745243185,38.430406015400834,38.99169103083717,36.91411790527579,33.2282896288887,36.323259026076556,35.49215337896292,31.01926886218214,30.0602442157072,33.44171546725484,32.08857872531802,28.79102793842283,26.92247618839962,27.597817547088066,26.01926367576414,30.56235944534123,27.794159972138054,29.206933089441765,29.652437961881848,26.22724711376754,24.355256498347867,22.811875736259637,21.90645735482372,25.905617831675187,25.170004819489684,26.537316381713037,26.059911418141,30.060806938685822,34.24129529134608,37.340658915492185,38.96891198499655,34.574893291699105,36.41024988661282,40.45975753640696,37.77580882318535,35.96119283496762,39.61582009396689,43.346103534938734,44.684939763363786,46.03097198198114,46.692962412740975],[34.7664349325534,31.549804252940795,28.60232336915019,26.48392433770042,24.697291815558508,31.154254870610234,31.457940350867744,35.379926662182974,37.09224933707953,36.4119817639867,40.100191743314475,42.606201558602876,38.855830966049496,38.50880307085001,42.970825075854115,42.616902307113996,38.635157060562044,41.5282430973581,40.898020114408126,41.36583459455926,42.96269123112878,44.195718895217446,44.15948557013814,41.37337223851287,38.830403654381364,37.94382053402658,36.304725207729234,35.87691007532099,39.317387938183145,40.94152386375801,46.77655931877501,45.84567473119128,50.43778789658554,52.32675374722609,48.3010933164408,45.115682542517526,43.6379017328965,40.63219801163529,37.59917141696011,39.76715580195165,35.71253440378252,39.6689990955363,42.21088062172753,38.86552538705523,37.235659392094625,33.46824881967957,35.98386186244318,38.92725462211882,34.784673870667646,34.720457031073984,39.52009924489192,40.677941480726126,43.699291014580616,40.075169718558676,43.25347795021765,47.58789303875316,45.5596293981145,44.946702287360814,49.613621011166885,50.12388575238734,48.85216209303081,52.46637481422356,52.974092426258075,53.616515032564884,49.72876247898687,47.573428161784435,47.056423909696484,46.31429017687829,44.82354279506925,45.61963561069984,44.58374211873721,47.77773478429564,49.36245693249184,49.95755071534121,49.84982509149758,55.10580900342304,51.56779834199467,55.278825372969855,52.294378516671706,50.65480818992633,48.5536185743132,46.73879438858325,45.647913852962525,42.15389001773776,38.64111413834374,41.0147077330031,43.474177497305845,46.60530226907177,47.14478014868564,52.59978283177732,51.58275639952933,55.76264373727992,53.86545022400167,52.939424856876194,48.908170834134985,51.225894710929765,47.43171419720143,48.484120367122514,46.31943117203987,48.369104160828705,46.47139878618274,44.28102808295868,43.224735586938905,40.086207525123314,38.00555465200889,34.634415661920116,35.240230197128255,31.368287311518888,29.622713194167943,32.98351361856793,30.74089735777834,30.426085515259462,31.538980112820596,29.26686979001164,32.481198116735996,29.928837925135213,32.88135193562128,30.50422499690396,36.068048031577426,37.672167445604046,35.87880133272939,34.8365968218782,30.289277253570173,29.49220812866291,29.57697893679549,25.84376944740912,27.58508971894369,26.163643402051907,26.186697874126843,28.69799785737525,24.040725319812545,26.98010359308539,25.39441876237603,29.992782295325995,24.814192666755652,24.99102701505616,19.976772078912877,21.343287555404885,22.09815947306095,24.997388606703833,24.690673455215958,27.43660055979121,30.744836791169647,29.54619679969314,32.05442600497678,34.56438093755767,32.0782606994959,34.116336312789805,33.87146950290109,35.112684097277196,36.38188193073146,39.79092768212595,43.17728584632531,46.3194217925256,46.798360758970574,44.81726084804409,41.903511038823936,39.979769145415645,39.57761145674302,35.56345897566431,31.72063711247816,35.08689924115922,29.7937389900318,33.31345548909222,28.734808334954394,24.19653812290212,23.189004674450754,20.621803146858767,17.93540983890417,18.65371398368112,20.874568407298202,23.72718173914311,28.088322101060484,31.745547905471387,35.30421355443119,38.20074386230831,39.77724578091611,43.38237665130239,39.982454614027525,39.644827742544535,34.94618409370902,33.37330760840064,32.685804655000275,32.12293262343893,30.070737318913295,33.60215030168702,34.71068324676457,34.927610558639216,30.395998492929316,30.405374192047287,28.05469384354694,28.274167700191317,25.32221399440641,23.956164464033858,24.261938848156806,23.23916979694748,21.422785605285,24.145677610195737,23.29248358249995,26.78585520827159,28.561729159505425,31.396521896317225,28.509152042740112,26.32644264593798,30.61108265466879,30.728730990841974,25.393497183708032,28.437750897211707,33.914160889267855,30.71214304845104,29.56422759229666,33.22340633023602,34.60829967711539,31.337860458457765,32.11108716092297,28.978716310645996,33.89584305766853,27.23803142562516,28.795846211912128,32.88960805281864,33.62811602146291,38.60266207232945,37.094593437898936,39.66479296012707,37.114801904159854,39.059730264143894,37.53361028072392,38.439390263190084,36.48887560729471,31.65862385169909,33.554802296748676,33.46289190054784,29.27334867270861,28.003862988919572,28.992844812309198,26.40112817287334,23.608413065789595,22.957499818865006,24.47482340391299,29.245686612734616,31.982525033508743,34.12804847154376,37.83973096360705,41.93850307104907,40.913670835236566,36.17775526797476,39.547113569842764,42.3388137869786,38.382305427059165,36.52517514268987,40.83226553155463,40.96501842221536,37.16178456805837,39.95893778895685,42.67884114878506,40.31872430559614,38.70579893548569,41.238139018383904,38.04562086235895,39.24057044036924,37.35727594588624,38.22976370421192,37.437339798380144,32.789657856362346,33.1821180810867,33.045951857592776,30.88653157461636,27.676556384550047,30.344753030253912,28.83911268434013,24.679255899838537,24.133676756373987,26.921099018268226,25.034003992642567,21.87588021454672,20.295523006333415,20.18386632929561,18.873846118854175,23.609900210935287,21.65030926540622,23.578055193229652,24.984790875746047,21.2074205955939,19.153823340444372,16.766797549186176,16.519294676085373,20.808254756670266,21.611015642178955,23.57129980509795,24.125155310948216,27.26187071717635,31.818058787491594,34.34780231933442,36.771579527995236,32.40811528914771,33.252443647705775,37.59488904283022,35.929179019355026,33.30675329694436,36.27145369287959,40.28039676394232,41.68999485272688,42.981523834672025,43.658832186562144],[34.10431503381189,31.027111348779773,28.52388176659979,25.61842722229784,24.50112849694556,30.55853046431159,30.752152556269312,34.92060880074929,36.06497587829144,35.16551788519628,38.74703390501276,41.60496845463036,37.875194386382496,36.98565525823908,41.59177888268705,41.54807837247438,37.43835352332762,40.25515469108351,39.36685031410937,40.30559644036566,41.7683149961997,43.34095673023081,43.00373221155499,40.18974331048275,37.7832251379862,36.61044319777879,35.33738981524538,34.8151935619117,38.40862692732025,40.27032443666876,45.69647830387832,45.250589500032895,49.792429298728976,51.66040588657138,47.794933751033184,44.4377145128689,43.36258596372511,40.225965658347135,37.308762550591595,40.02781927859438,35.500542001104726,39.060523198717135,41.82176118955509,38.5510586540824,36.68853835205939,33.11717240012308,35.72661704000496,38.80075326701818,34.908393927985244,35.18966093051334,40.05589197360416,41.46510734451458,44.23585565705489,40.45692804098883,43.97003114435373,48.08018541058585,45.65783316726766,45.0248544989413,49.82174713732396,50.17539021325459,48.474618742950014,51.958222016358185,52.342447960644535,52.72625181359781,48.918802163017276,46.8194913378286,45.749840600568454,45.049302840686366,43.11431054513112,43.89904727782929,42.58804274899698,45.570385771569576,47.49539869178715,48.22144834444988,48.46987198704343,53.881225552642306,50.66711564720907,54.54611505834012,51.813757023365824,50.43059329021681,48.60766193975623,47.055763441194436,46.23017282578379,42.92017003969637,39.139983030227356,41.20143402239748,43.3101624158243,46.551559623957615,46.588598781968614,52.069549360624194,50.68007141137139,54.6466009021258,52.688259079964894,51.87691907119956,47.76763666557192,49.88185191933005,46.01255249641302,47.595291069882435,45.57551863353305,47.96324375335209,46.22108807730247,44.49779617210715,43.46554004217099,40.738267283967275,39.16669594534625,35.69719733223864,36.820264862728585,33.177240500255785,31.15214371072699,34.16071524139493,31.43497036590415,30.76885113888969,31.254547804820994,28.77327701525424,31.446199274915912,28.663521285051786,31.525224036836203,28.877853223892604,34.270742229193345,36.066200806553034,33.985370039041534,33.06713653588186,28.37207412970638,27.922925265220517,28.324921262564985,25.16065986145376,27.49343895239716,26.48559815144865,27.12229686324625,29.993907198346157,25.789950757807382,29.199107522871945,27.50028773487749,31.777389347050292,26.252876572753813,25.723891490654438,20.839715178368625,21.243560441353647,21.20804860027387,24.32129802289991,23.3130901975816,26.314345031918048,29.632673748679615,28.684227399732926,31.526986783068363,33.973866579579415,31.423339167706825,33.64666932250099,33.75796586450838,34.74213767075717,36.460878373719645,39.49281173532474,43.28581745294459,46.03992932928371,46.39158558348124,44.64527228692231,41.57433337172785,40.089325304142484,39.440125081184235,35.955534855684306,31.98725758869238,35.05613810276306,29.657296054768167,33.50839240319908,29.29423778554853,24.40759667641784,24.25998731383091,21.7138988894774,19.3479870040426,19.239335018006194,21.83460825820425,24.06998156031361,28.79896817263115,32.48873364162501,35.89160248718217,38.89984181644956,39.967176957118106,44.00599680883553,40.64284948185348,40.665026120839975,36.01351066214513,34.519306357798165,34.36123010319516,34.00339578039218,31.574480971866848,34.7013065802505,35.25833472933588,35.821318166209565,30.885301364520835,31.540117047408824,29.59225836694365,29.865599587298462,27.392116789192812,26.176665557634983,26.820217582187492,26.20112301064244,23.963733690676747,26.87928518190054,25.83825070562036,28.869614844216205,30.96110377387791,33.33457739725613,30.092962915054876,28.23212215338121,32.562420072615794,32.06411202217949,26.531500689214955,30.002711032427143,35.31760335196195,31.441952895448363,30.394303496910712,34.19523441804016,35.12219113100756,31.497204437599557,32.60832976969523,29.731355551396994,34.991384261973565,28.786131508232724,30.5468642514836,34.72846193783791,36.043393940462316,40.85558830194447,39.89631205741428,42.518594096629776,40.02367072307618,42.102434926091,40.419019440055436,41.71810525027498,39.80289093609382,34.69446983035546,36.75976195019492,37.066330268618394,32.75550390887156,31.321048480102217,32.56495573447858,30.225942015554807,27.13915624034569,26.291812318516016,27.386248719179903,31.980790795413114,34.90514720423351,36.79616661210344,40.38050033086302,44.4203257962012,43.086329649604544,38.35966431070494,41.68423225144524,44.19632764525852,39.99139585238318,38.21033693316844,42.34018981531543,42.15273075064138,38.3168432188468,41.457744032632114,43.89245812193437,41.109364698129006,39.85015276428983,42.66892977802971,39.68541079336297,41.22913278117029,39.46484975873394,40.732089841466774,39.71316478976639,34.80226067153243,35.71886740932341,35.69184502212568,33.23883853713296,30.232209144489158,33.42846976332583,31.708158200338257,27.23284717769879,27.22397767714981,30.280189073074023,28.097530682905628,24.683019796606196,22.414217831172234,22.580565581935318,20.428296644947736,25.051227024451737,22.471007872564414,24.689777775081964,25.37248386197308,21.309151237057364,19.865081619355767,18.116921696644322,18.265422047366215,22.78269409507888,22.84581981054358,25.222013756034073,24.906974650297897,27.967508369071624,32.82324235015698,35.48161098940904,37.55175957438075,32.87421167859973,33.82019361596646,38.05151977337941,35.92389845756143,33.1438702444973,36.427501245755025,40.31869161689201,41.764935754522526,43.14451067517992,43.82625984491351],[37.93691428410734,34.9116219598956,32.500799685919525,29.306638774725798,28.193071765093652,34.105653098958946,34.02031568052011,38.17885701594252,39.0688425727196,37.79216074511482,41.25504656248461,44.30097615855489,40.300344568285155,39.188859728458304,43.66762494162128,43.65170709841941,39.31811979402847,41.756835408151616,40.33557829780485,41.34169770529662,42.38382203961605,43.81665354227461,43.14147289699882,40.138609134038155,38.0807761677683,37.169393179185704,36.308948401633515,36.19263365816266,40.04576896121106,42.27920683016224,47.48019750925625,47.42920895959271,51.94108770770622,53.50200888114851,49.645499249171834,46.066946663610594,45.322346404005074,41.70765742533415,38.669734060641595,41.20025218469948,36.41101137909726,39.847096039883766,42.37481676418844,38.91584852286072,36.63838448769041,33.048476685106756,35.2844204514753,38.75787153136778,35.312982843105964,35.147621061209406,40.09564336558726,41.730541157198296,44.49543079665175,41.130249989848636,44.841492995350116,48.680411250145234,46.07233754300865,45.842816330912804,50.6641100080357,50.56987732306169,48.956417663418414,52.62701932997592,53.24356376877462,53.21370459268421,49.36594083146849,47.619198208282,46.44179509209731,46.12819016800919,44.048460918249376,45.188520524604606,43.68601730858326,46.50290464695289,48.59647278420523,49.03245967016351,49.662847295907035,54.92477761384109,51.74574351469585,55.80805558385297,53.09679676538893,51.589289806529145,50.08218376188777,48.410485397770934,47.994293660322974,44.63571159576137,40.723831955327896,42.94966470369799,44.700484401464834,48.28157924150249,47.965445278387556,53.65310281930734,52.157094614531324,56.01714846858297,54.273067647779456,53.73488339989171,49.755461038963865,51.89850623186598,48.13619545741801,49.93428319709686,48.15135676552297,50.861413373648176,48.82844592033715,47.451806961321566,46.065944859971445,43.67354814194247,41.917809888881365,38.735542641635696,40.008494878009664,36.39312481228805,34.637586909394656,37.56083894227647,34.91847499820193,33.86311422929214,34.31195485403394,31.483939109872583,33.78823509767633,30.706106892836345,33.17346004574729,30.11857685876607,35.11399367681091,37.411745244213876,35.37627088020339,34.84986634364026,30.15106268536756,30.16706022799875,31.029556811838315,27.98723012662638,30.88991493742838,29.689353904279177,30.44359812395668,33.02549010012033,28.995044566394892,32.266313265492734,30.14978050380506,34.44204292910722,28.846551702001094,28.399138165995332,23.90222373973146,23.808155137206082,23.424909427534104,26.213623995772206,24.36654991699953,26.8748191331937,30.555410717428853,30.088036851444166,32.885071502274556,35.705227981052,33.362640241878296,35.97240754063977,36.42470978110006,37.6287354705113,39.65222898692659,42.690076046398836,46.61217121373995,49.42075400247028,49.53465076480909,47.70389019190328,44.44688984823343,43.098159991325275,42.09232778359668,38.78517079439067,34.440685963429495,37.08654218397656,31.438632384725537,35.127010438696026,30.795427638002447,25.67495644689533,25.79684685089628,22.74045313571906,21.059489521186617,21.107062314317666,23.98780666445883,26.134862100481477,30.812248923537602,34.5937424125035,38.03834630470574,41.294153470804446,42.276817341192064,46.30939049877229,42.67530401406295,42.855655188862514,37.956260857598664,37.04286920875024,36.58172281025425,35.927525372339076,33.413793103726285,36.0375124461374,36.43481024022417,36.5943112817936,31.347382278027474,32.161121229972565,30.25365165889402,31.054291879791545,28.892359932631223,28.147145777976892,29.10566449572806,28.78502792689015,27.00459028844118,30.148379225958298,29.47701308859304,32.543531651372895,34.80172952675594,37.22122419768589,33.97460383727244,32.2678263627059,36.6331329278952,36.15052234087383,30.6821338922287,34.18478117840926,39.49187753551426,35.59361299700406,34.58197341392263,38.390434990969084,39.26217588512993,35.58460185267621,36.724385504532975,33.87581084955063,39.14205981797121,32.85844550325493,34.69744029966604,38.86322243953874,40.056842062155994,44.895466554047964,43.78084790565627,46.431352397105336,43.91616138169188,45.90498608782364,44.21084934342549,45.31065540479183,43.45799790929146,38.45668981647671,40.32723659240256,40.44223523813418,36.26229081345989,34.825845506763564,35.752957219826115,33.38769704241232,30.60123851315757,29.526279749175988,31.064538225157666,35.45716647499067,38.4188055062956,40.55940402935164,44.08224095064677,48.2342741558993,46.83104649672762,42.16369032571245,45.656728387737914,48.133941892216235,43.899182503761665,42.257091965080946,46.42899229068886,46.228093649444354,42.44052186498491,45.62460388136248,48.060142796397656,45.25365132933359,44.048227456404604,46.872435369235404,43.8794104882677,45.37842659732142,43.55396210727103,44.753669972902365,43.81613508705196,38.94505568927563,39.72365241801994,39.68496601688341,37.31150865251907,34.23797794947164,37.2309189214931,35.553546016618746,31.22592383575493,31.01262958428593,33.879441250398166,31.7476793546393,28.49667527276251,26.457529510845212,26.298757828492754,24.294990485021067,28.995339221779826,26.570859971826717,28.8854451508628,29.51536531198777,25.406910449575125,24.053227370981197,22.285806947201788,22.40390318009476,26.88177889793766,26.846424607915942,29.022899426169754,28.593864757792158,31.883953142963364,36.64037435432961,39.421675112668744,41.34140620581031,36.66682918739504,37.817008454454665,41.994778362042155,39.63314425826636,37.00086251984412,40.424609365636165,44.25292571517644,45.68112601408686,47.057027314204404,47.702916698825156],[39.990972775055575,37.22055820655667,35.31509306818672,32.24908951779766,31.916445786263367,37.677419375784034,38.00353345160477,42.31646676628175,43.07395227558675,42.052342548691776,45.49668160165107,48.636621515967754,44.91592134196864,43.55856206252559,48.205476233301376,48.396854420720544,44.12509293354299,46.648512620829145,45.20042907512434,46.445619662483985,47.4387611255277,48.99482075357351,48.16589785550071,45.12159871961151,43.19726945011946,42.19209409524812,41.48675968412722,41.267816949407475,45.10309139514651,47.30092078836381,52.355103837192374,52.38630741434774,56.87298274535,58.555530645324346,54.777978206831946,51.2075969687297,50.51473745716651,46.99623193295194,44.01985479743876,46.65529625273011,41.80808880313165,45.137237814294075,47.69310232924573,44.23266601618291,41.82964626098788,38.28002124365895,40.38069182944069,43.99845776471848,40.69447424384147,40.39653736587352,45.36079832210119,47.0338545050893,49.812075795747134,46.55615365643124,50.286612496516014,54.08635375658535,51.430227202000154,51.2567724275109,56.0905612672091,55.91571618784603,54.253951716470226,57.901002890171426,58.48534656634301,58.34428592196201,54.53621159937714,52.834649504159444,51.4216427122822,51.0987461142284,48.77484182455976,49.81519889369165,48.155247639790005,50.7973445939192,53.13749449973056,53.72636435497241,54.5269676901512,59.882408991557895,56.87524553008546,60.9759941173969,58.36408128037302,56.945771775456706,55.47426186749435,53.858446040434025,53.414043565588024,50.075381765134566,46.16900596382416,48.32585005920086,50.06372308753517,53.60288522430923,53.2048495759312,58.8456573122316,57.21301276860348,60.97194989227585,59.13406476223808,58.56083322379127,54.48351607270555,56.44857596783861,52.576490946368786,54.61616295091086,52.75986367286925,55.3805295487556,53.68285920561292,52.226287603527695,51.10921373995698,48.58368755246327,46.994198647189364,43.61402705184855,44.745771569058235,41.06313722124706,39.07147496385944,42.10198389635702,39.30597394416597,38.58908827359737,38.83107481261734,36.23312042177742,38.48215881645565,35.46698143911314,38.03005635837414,34.96611798434924,39.86853466394208,42.167367547374894,39.91939181570014,39.32565669849799,34.57086789129366,34.58733247585259,35.30250772668628,32.579026375969,35.135886034339585,34.323363566492326,35.065018576353346,37.90413515764001,33.671353253401634,36.92798619786078,35.090155828472696,39.48039228808424,33.95942234815716,33.496228040906274,28.746392889263298,28.845008529528588,28.382601651164926,31.367893503254972,29.45528588113203,32.065952699268074,35.71502515485316,35.28435663908019,38.1888983557293,40.89158204625775,38.46401445105419,40.95690977472431,41.3366105472786,42.247280541159625,44.166514397803006,46.98220808634127,50.94516039288285,53.41402837521403,53.78277567674963,52.20569040858055,49.06318979684412,47.796234872263305,46.98498131095259,43.72671926135503,39.59013891652044,42.3454155536537,36.761307698618225,40.53840111267053,36.249965960190636,31.13357239235852,31.20877592052426,28.129034830899673,26.363402634438252,26.478874893229204,29.29050757304355,31.45943032148636,36.177658545706976,39.937769681311,43.360301808767524,46.531240734585985,47.467062133553476,51.57577635167258,48.038886310694416,48.182717644467274,43.34110536243863,42.23349022230598,41.81613965623129,41.16891344519158,38.75180566206038,41.478081390697405,41.906058697076055,42.011165521890256,36.74559482250817,37.50787381382346,35.50101963116204,36.377477098514234,34.06813886235798,33.23249167098198,33.98298777997797,33.32304945444157,31.524869854301595,34.37334891485101,33.33441564242236,36.59211852690244,38.35251194709613,40.916499326219565,37.7736483424945,35.54770373219828,39.73697717214227,39.37298319555548,33.616207185271335,36.7807972111824,42.208058209169515,38.22666169922579,36.7890411140652,40.44081438001536,41.55496876441551,37.592472532400954,38.22710203259095,35.41128122241909,40.56371392954643,34.01733629422143,36.43879951817852,40.485085001783055,41.63596248770211,46.3706845922177,45.37406060519681,48.44964553897983,46.315781202513,48.60597408654159,47.35129575659042,48.35235632968862,46.07235211922137,41.406086795669076,43.60517530849196,43.32137195375122,39.0194481603577,38.061826321664945,39.16007644596917,36.17681531818951,33.39382472484662,33.233568030561955,34.502147067946964,39.438870467068746,42.17986665018338,44.070435975575734,47.83827484594567,51.78269383094748,50.721536591051965,45.93348227813844,49.01062376620602,51.71294502750443,47.61641152313759,45.56424381292717,49.59074972467515,49.42408864201152,45.43449093476766,48.357086354416886,50.750289871950834,47.86873339941667,46.36791842653987,49.09383007301729,46.12112851298453,47.85664313276064,46.4186301135873,47.4318819105187,46.03118071255903,41.43379942778974,42.437804196808315,41.87385828126631,39.38967790985175,36.81997690704437,39.47892462858392,37.18634459299687,33.21608461048209,33.44034782519171,35.678990717670665,33.01995542327273,30.028601324470834,28.140919204251485,27.077495090603506,25.000691459757242,29.715526700009473,27.884633150548407,30.876504455063728,31.787791881132993,27.27832308918808,26.315635491388345,24.304937672758427,25.163481798603115,29.78671446056175,30.405174632461957,32.97822936528497,32.73701137359594,35.52828118701123,40.55219826081311,43.06579469555633,45.2181668691265,40.45737761463272,41.09836140603021,45.33458323646145,43.286190925620204,40.123734998731265,43.281002457288345,47.15135780684219,48.61553498032573,49.971719131775515,50.57681453030576],[44.9573398446017,42.127597771770425,40.0349736355936,36.987358876963974,36.267103586014656,42.13205099850288,42.1993385695657,46.40473149887011,47.18464176866748,45.865561544055424,49.254111087347944,52.41749473499841,48.38327073433182,47.0766789993192,51.516661411516736,51.57453388970165,47.13250659531646,49.298131069182595,47.4309514630265,48.49882913643473,49.10759580974419,50.330949251302236,49.29664954949512,46.080125667345655,44.483603293407924,43.910822194154655,43.45265182244826,43.69550083063684,47.71187928932678,50.17472727691469,55.19586308630951,55.40190014792477,59.88152057456775,61.240445947907446,57.394453642390204,53.67948705281427,53.140036301755124,49.18971248473649,46.044746926516424,48.20730704457937,43.34410786977739,46.70734943842363,48.88214891752361,45.21878738617407,42.510343203599135,38.88558950230217,40.50533679050468,44.45504593010767,41.55417578561319,40.62252977487495,45.57267801076858,47.352410258632894,50.20761953199718,47.517422178049564,51.27486797664977,54.8557919717805,52.20165092562703,52.47664779062583,57.2561580282944,56.66798520262628,55.32393067850585,59.21922923893056,60.12344766838523,59.65665720366051,55.784833660509484,54.44891898859413,53.21312866625392,53.283715349811956,51.04903003551822,52.47321598546655,50.76221735360969,53.338799468666586,55.6639108068644,55.865872685852366,56.88627046744789,61.97968888088707,58.85155922989808,63.05481381625348,60.34301483844643,58.66528448192229,57.40702531188553,55.54505945123337,55.41700169489033,51.95743337850232,48.04694840707394,50.510682665063776,52.02938694481264,55.86537663958803,55.33935247519146,61.17915933800527,59.625096519937706,63.37149797644662,61.80648561435867,61.472189034311164,57.57705251663843,59.68314376453909,55.966990273600146,57.95940815958272,56.28294582335062,59.093036829725435,56.99012539994144,55.68216445475653,54.16928089546904,51.81070652499729,49.80035635247101,46.769423775320995,47.848504995626335,44.10541830879565,42.50934066009306,45.589489840295705,43.082051702256,42.10292933408053,42.594348990873534,39.72668062969583,41.8765326691873,38.66942250320536,40.88635758197164,37.565319421195774,42.1314613493701,44.83782460679088,42.795502129660285,42.53579508959753,37.851598940941514,38.14473867990861,39.16171432306338,36.254434196584114,39.145916515455184,37.94050429421858,38.56019109349734,40.95927666743627,36.740821489289246,39.674288315829536,37.46645581973514,41.96240124529109,36.53404910830711,36.42663224782052,31.99976190266076,32.00219315718552,31.5538386373693,34.14718162065946,31.785184929777742,33.77869276934665,37.74244107500934,37.6671325256589,40.35375420951206,43.45171483618008,41.26774471857709,44.06161498056773,44.62340564736506,45.88916418529327,47.92435899833392,50.9445322028762,54.863418599042596,57.60123002848093,57.767333124045685,55.966041921890856,52.690097286761755,51.35426700406038,50.27937712544322,46.95748198710048,42.48658512616739,44.94289309031117,39.174449232611686,42.6221340308444,38.089712229088676,32.95484342150017,32.9408286539092,29.431141335010135,28.224647580840035,28.766809576468177,31.664637525966736,33.97051138490364,38.45756990601386,42.27580376369815,45.79440221493312,49.16578878410445,50.243539534701654,54.14221724136779,50.307121596911266,50.4567582397177,45.35867070283625,44.82052741983294,43.87314441891069,42.837573702889486,40.51177085160642,42.86424216805646,43.366889004651554,42.884268487981366,37.54688904389959,38.18002155878476,36.07835388814965,37.45884397528925,35.31839005309144,34.912735974281965,35.84515566611732,35.35564921140349,34.17837710752911,37.17098067005838,36.595112493215616,40.034182656338764,41.87733749081799,44.65373561495406,41.63087803605932,39.4809446959266,43.70812163997764,43.59250238644977,37.98493738529783,41.067397636046834,46.54969676736518,42.82108276812475,41.42555725608305,45.056040835160665,46.28543216089517,42.438821149078585,43.02568084989696,40.13001399805092,45.153401663432874,38.380562759702805,40.720887975286736,44.724220096911324,45.504946630415844,50.3285919048688,48.92389298386865,51.9584485717694,49.75854144359408,51.860866834525524,50.636128860008085,51.26188945457058,49.073176836209896,44.63924348188798,46.527410726951,45.90684646692915,41.841952057284104,40.919122988195525,41.55985085737027,38.529170723159034,36.20486576433452,35.8256728414685,37.69891261480811,42.432417612393735,45.14027689705936,47.4017141651765,51.129970873000985,55.2265656529211,54.202964587174634,49.484617467517495,52.78539521601237,55.556511805281175,51.517605621513674,49.606394321825526,53.7723020019175,53.72739896479308,49.81003312303777,52.661150140046345,55.187534911744834,52.470940984384654,50.89757437756275,53.516670789278116,50.43795613660014,51.95380393687504,50.36681800783501,51.15738860465994,49.98374020889104,45.515735973717284,46.13834235349279,45.56793933606104,43.30455364295327,40.54383066250334,42.8043070062072,40.71071828036126,37.0083215906342,36.782293116155756,38.74782264966658,36.34752671764712,33.632708389883476,32.21530039608885,30.86732352220598,29.27785623849426,34.07079613783169,32.54424081603183,35.41683761158459,36.52301456465988,32.10946134275513,30.927143149889808,28.713932501953877,29.29735149756869,33.793990661946374,34.50496211703537,36.70938196517061,36.66237458811818,39.77068083560709,44.57503897822614,47.19368364623003,49.32392071491682,44.69378701325708,45.55007277268516,49.797498056676964,47.67488505158417,44.76592436195986,47.972530981059855,51.84423151587299,53.24129287023344,54.553899269734835,55.10196314782956],[44.160879690669155,41.5653422400547,39.95186782132876,36.855379892826086,36.87137014899729,42.482814100207946,42.88004242508288,47.24833527753447,47.82689112990918,46.76089776433681,50.1269465669084,53.392187794733296,49.69222084483252,48.11620401362648,52.765704145499896,53.07351658074678,48.74107178788263,51.11241155846464,49.39583090050459,50.785628305909796,51.534252754601425,53.06949120153108,51.99289568703458,48.848891833302645,47.191984848021505,46.28195794393569,45.85870115005153,45.78702262066552,49.71977774589646,52.07027566254861,56.926956418848505,57.19386024244415,61.643051603999204,63.23130845392286,59.50575357732019,55.839254810475204,55.33433810392789,51.64084151988855,48.644114224838184,51.221781351142454,46.24736499428294,49.447492187806304,51.88246519045701,48.34560955505329,45.69068419902521,42.18352484941244,43.99910409367404,47.86155056293776,44.879797237391124,44.286778222546694,49.25644816038249,51.04492156614957,53.81686825317235,50.85312174109946,54.672666357710945,58.2947904800808,55.5344390972031,55.60169943037745,60.4358258220442,59.98486216055182,58.36100997225201,62.08136430751797,62.77072108117112,62.35163749796807,58.56102386902074,57.077042920022066,55.49757621130462,55.369135430224894,52.858426882305785,54.02431387791488,52.19437921872811,54.639492247886814,57.18607391508746,57.70296822424694,58.78676354396836,64.09180240664824,61.20261794493393,65.40545795869701,62.86224422855477,61.42659115912522,60.13609599705487,58.48772049813896,58.23086532363084,54.88471480375122,50.92986683852032,53.13268628168804,54.686566645907526,58.36405870970894,57.75202729944962,63.46005652937357,61.707805225021396,65.34840125828889,63.57843400108923,63.128364514283255,59.07606426873743,60.95710620339103,57.09488710787898,59.35783742135352,57.583933536070475,60.31065668768335,58.642277375364614,57.30934717245277,56.15865288915708,53.72125193070566,52.120528474312735,48.77909074952129,49.901045219900375,46.1992651924202,44.22320306671457,47.269913709847444,44.44750775927719,43.72259146577148,43.85939732255938,41.22265876890117,43.281131873565776,40.1789001634986,42.59264695204238,39.360820884357864,43.984434906378745,46.51250203057504,44.198056791862,43.76184943999506,39.01487044793625,39.23934612313915,40.08217100841951,37.56044946079016,40.19131532354129,39.46550160989892,40.24186170794983,43.066155758578425,38.81265584568907,41.9922197413875,40.104451716129944,44.54331150336796,39.04001310557256,38.61498798300491,33.91776313253372,33.91330653951251,33.29164984188197,36.209332708728745,33.93100702411259,36.3323911995379,40.099198960324365,39.90771330907804,42.820265703665896,45.629756920790314,43.26797035838718,45.87217402262241,46.368341089477,47.241060834196794,49.240711478172024,51.95065765763595,55.984948812761345,58.305345980470335,58.69279896678335,57.204570416416544,54.03714347823586,52.8713469077029,51.99299678543648,48.83803417654202,44.63511203632109,47.2466813614715,41.59719759082219,45.32265376944073,41.01147138875749,35.83208239127386,35.98934661584179,32.709459209367196,31.200833685028247,31.415717432854592,34.29066272675944,36.432158910190005,41.124684700280675,44.907186721673106,48.33486619859693,51.574778345619215,52.453446345592255,56.584677576385914,52.97026630980581,53.16599501197025,48.24384801609749,47.31235833439815,46.76772353474664,45.98371100445804,43.58708388447383,46.123419074020575,46.497897398347725,46.371059985415165,40.98475518515261,41.78464839572466,39.76064207485887,40.91087651535887,38.68476950638894,38.02021782509261,38.80593569767747,38.11827264300367,36.52059140736609,39.32168200358199,38.28208711351978,41.64088783657572,43.23026306470655,45.8857583551684,42.80206901007448,40.40240152898025,44.50540880884111,44.217191406219655,38.38015636627782,41.372126630092055,46.82955040882237,42.82636594351483,41.20301793432784,44.74898270608572,45.9604806623768,41.86093041825457,42.24124005407294,39.4807153431232,44.52025243654823,37.86727696273144,40.58975194952267,44.526930564112675,45.57602122840882,50.22964861227775,49.21420524837341,52.51315558223499,50.588654946070385,52.980325908457225,51.96038665781628,52.79910627409402,50.334919799779605,45.92594524289559,48.18392421624954,47.597871019653475,43.32891763977664,42.617310948080224,43.64062883014698,40.3602345339754,37.75121604614098,37.9265583599651,39.26203127084033,44.350198874099505,46.98906363099197,48.87065537957272,52.72650843638164,56.61203311269116,55.702360767212,50.88838544107294,53.8272685789126,56.629194349828985,52.60076906184149,50.408987371283146,54.37385727386343,54.224138503972476,50.16469712841303,52.957498182150914,55.32521207480872,52.408288607698424,50.78081562111019,53.43953782342406,50.48450169264197,52.30836998400017,51.04687321937772,51.91907479887806,50.325471028732956,45.91961841410828,46.95792362198286,46.11921772391919,43.63922714697229,41.30755504871613,43.67379081279487,41.107939068148454,37.43997047599691,37.774529892432966,39.576586717703535,36.719429546832686,33.99082747871105,32.32054314155439,30.691626321484737,28.717165792592077,33.35816339908177,31.932077476825558,35.240443764035845,36.26449920175628,31.60851978199577,30.862346298809516,28.7607804531737,29.903165696257474,34.52779458308981,35.40092201370247,38.05267466822381,37.85972433321618,40.51875370825181,45.61106203963934,48.04455321731135,50.24562975418858,45.4552718056894,45.937514726059796,50.168280693341046,48.178981096479035,44.836030437324766,47.905560055336394,51.75672688860112,53.22469078429157,54.57674683726885,55.13997639463194],[43.164780287035704,40.770063961285885,39.59767051761507,35.9186958968096,36.51878329571283,41.57964881101201,41.88265114936951,46.354494778392876,46.39048715918934,45.17880304016332,48.35242797353888,51.876458895256775,48.32288318985897,46.260125600729125,50.95537884471347,51.57735170496612,47.25269769849163,49.54063497813269,47.67471105196599,49.524929402842005,50.1897862016723,52.08917725960675,50.77359049565728,47.70539506779853,46.16725472802126,44.927474944161865,44.83138359054196,44.59867045428442,48.54093274131281,51.01938343039903,55.38910891811326,56.09297498937265,60.42211166502741,62.01766350851156,58.514522391477115,54.770815222730924,54.62933705177685,50.95858250760238,48.163712338779895,51.28268092555922,45.98735282755445,48.73822055846238,51.403205478355346,48.056297616774565,45.30774412746039,42.09600973100697,44.06182040612213,47.87798906646856,45.099587293940544,44.98733497841201,49.9213021471117,51.88609328540547,54.362743450900716,51.161349371263015,55.224108950734426,58.646999110033036,55.55207927880019,55.4946236430976,60.397868561333034,59.90024779472191,57.80882069517923,61.29228007364485,61.787552286261196,61.18133942691513,57.54318577188216,56.06778112899655,53.93368138521295,53.78343037794069,50.861806561985425,51.93124013073973,49.86454362762908,52.035260005744504,54.89061306717675,55.59409126627957,56.990787109182556,62.41045867230878,59.91254784874635,64.20216560335977,61.959944736903125,60.84336894738046,59.791952578410594,58.46533836631093,58.3905812110077,55.27614860588184,51.14152592167138,52.96730160943506,54.21427303954012,57.88016523327226,56.82557901067143,62.43557070930703,60.330868745335266,63.705679792333505,61.855282791593524,61.489318485571374,57.40079386326595,59.02491926046385,55.13962391367592,57.88949493489506,56.26326185952647,59.24474578472921,57.8009635974451,56.90301432932883,55.8452331143682,53.79046379274264,52.720387627140454,49.28627800590275,50.8466093460799,47.384793095925126,45.153800521702024,47.857725694445,44.64739173456519,43.670589509241445,43.24363551532578,40.542106389898684,42.06157197664231,38.889487729948044,41.168227941045814,37.84017520424272,42.15360292586417,44.736339664308645,42.1798565631434,41.84376571982308,37.14071031720051,37.662436399748884,38.73008925590348,36.83785518078825,39.82756014886931,39.497869097281544,40.7521960281444,43.86542067661103,40.030302331607814,43.59446760279268,41.69629181118819,45.812113174046516,40.09616781240272,39.08298671868737,34.56993027052072,33.88290396519767,32.67211648522153,35.66820737010098,32.955954733582544,35.552214348243865,39.11795020012062,39.10885785439145,42.25564947892895,44.86079571843043,42.473553239134624,45.12235837404039,45.893247118863755,46.472094115624714,48.813524496649755,51.10712018527367,55.44830113959227,57.348166287012404,57.62344803557322,56.40387207545493,53.16050756100577,52.42477436722837,51.373569929760016,48.75731892688029,44.584856888697885,46.92889311661054,41.36681184572683,45.33739275056292,41.48569531904149,36.18647088924808,37.014492478234395,33.9522011983652,32.575110251155905,32.12760294380969,35.1461149176603,36.73773953815347,41.628478484022516,45.345356508032175,48.55951612378379,51.808328847886656,52.198984605879374,56.69531428375597,53.21573247742781,53.72479330105189,48.96108484202056,47.99926877550376,48.006981109317024,47.49001234022831,44.792558729698634,47.04163613636439,46.920514980423754,47.23354912504318,41.63694429418501,42.994084696365,41.36366899952734,42.39556226947535,40.536899305581194,39.88126633664969,40.87424330754943,40.47217573916124,38.42821391949186,41.35841452566672,40.136875777881286,43.07019154910625,44.94553999893466,47.15536081515804,43.786271757574454,41.720606242400805,45.839021417138945,44.991295345106714,39.10976148833579,42.45014755095287,47.67365338097912,43.129228473388906,41.67158220083605,45.29801479435179,46.03029095447125,41.719152063410874,42.46198987561759,39.996258682098556,45.28131813012829,39.2216216862537,41.97675128083271,45.97144332619533,47.59083077698199,52.081774193500436,51.615931116340555,54.8687848941233,52.927785939232685,55.41480328060574,54.16974246314406,55.44675032038805,53.07445865888231,48.30993336067439,50.71500729982436,50.61516163022421,46.20291426191043,45.24929796468761,46.558088898204026,43.599546612166066,40.63156214556966,40.52924691676421,41.4645064954233,46.36886734799555,49.195084821457726,50.82788204407809,54.53866052115216,58.36407024185918,57.13147816820664,52.34892752957515,55.252688819954344,57.75027909797215,53.504973695013966,51.425939422482074,55.19698912720106,54.73707895157826,50.70759986744694,53.82304714496147,55.89365957626169,52.60437014312433,51.37118257977634,54.2943246758189,51.571991750576785,53.69184428296576,52.50634954548028,53.79114552405206,52.046928859575765,47.37192350084119,48.87507603476649,48.23495504211678,45.501129413823165,43.28481452864654,46.22314678183636,43.58585687405853,39.54651729780821,40.2839960947714,42.51494087030384,39.501872709638704,36.457206509400486,34.16589902905573,33.04489579549065,30.40634613175884,34.809375629145165,32.767854077802006,36.123669903765446,36.47049930601022,31.791537642349127,31.5327063769454,30.022997897610335,31.31741006515529,36.01550176273041,36.23721272908125,39.157814278979714,38.27378766640208,40.80106730590824,46.04621033381448,48.56061676472461,50.4082019065846,45.41758337639214,45.989605675588166,50.03799251033215,47.65857665405957,44.25252011011551,47.55640054606795,51.214923574604796,52.70374759169978,54.121095936883314,54.70181152551774],[40.175519750103994,37.98095935385269,37.20696459565593,33.48189370992323,34.68594247626901,39.42278421475816,39.999651627279015,44.54998251191183,44.434847370203315,43.50080617480847,46.64508867629664,50.183210164541805,46.99358904665231,44.77660284410568,49.63147840113905,50.44714830291751,46.309934773706836,48.85367384780853,47.299898440283286,49.377157581659844,50.30305838474667,52.50302106162729,51.29463096838072,48.377354796681054,46.653007009920735,45.04959554597109,44.841637775519594,44.22413432357624,47.98653844563602,50.25090149827678,54.50693642630702,55.153680422097175,59.43388640640899,61.29358787187438,57.911915031230194,54.29625109142574,54.101566513925626,50.80520161456563,48.19857690971502,51.71829277562259,46.43472561702182,49.059698767780404,52.009184583867,48.86102795765457,46.32516461792544,43.22805085748283,45.50911054147031,49.082753540373396,46.08680088872645,46.44630375053408,51.3487423254912,53.246488801124976,55.62280167652108,52.040839043999306,56.0879878465468,59.617800639268886,56.49173428277708,56.10398081067548,61.03525530262969,60.82430028873029,58.45165694303638,61.69612650388901,61.92326727722967,61.51850373609386,57.977245693673666,56.24946448725813,53.88388708068188,53.42909626104651,50.35716242953254,51.08600891261272,49.00727836125065,51.13384374412334,54.075382003570994,55.13404225588973,56.42900913752694,62.047055032391796,59.74406362071401,63.949614628648646,61.85293198402542,60.9944952901044,59.829103399695484,58.74457462915045,58.456102712852136,55.4848251046416,51.35977790602517,52.88687584807394,54.241783328551385,57.65112134658355,56.627057976548514,62.029763258824836,59.80360651168767,63.10992697414546,61.03082351732527,60.4874003964717,56.25800047687745,57.682739605289434,53.67612744081663,56.572704665963485,54.8268128985547,57.66442932129037,56.64539029790263,55.69360968575543,55.01014339383586,52.880037670270234,52.23825598446167,48.53647333047122,50.15892624870917,46.80079390904929,44.23176552973493,46.8256358721105,43.35262626567314,42.608213314017,41.86096282260763,39.43920608297571,40.90772787002996,37.93018696503441,40.43461572758485,37.3352060896729,41.77596970133415,44.0247878648704,41.25787537210222,40.66832724550425,35.97502863721822,36.32741486106274,37.15248709665984,35.62148592035052,38.30461455009409,38.42265567576142,39.82902291444361,43.300426576102765,39.54422387514361,43.327430506000795,41.76011131980395,45.72027556210859,40.005224683032274,38.673543754435784,34.00867842965348,33.32375170495483,32.01050420329777,35.27999230713339,32.86876576884241,35.9091769602682,39.15794532507078,38.91984341338953,42.23446230865331,44.4674980250799,41.90922387285225,44.28302887220811,44.93754906397905,45.13435570921793,47.395776114617085,49.39059665095441,53.7849401375105,55.313274842205246,55.78533792246962,54.84514794280446,51.74482278747836,51.156527255183065,50.32754298587291,47.88086533836055,44.04557367584731,46.56269933986572,41.22686621836632,45.434761936861115,41.86819114342294,36.6513026298213,37.59990512253441,34.899360868280844,33.18520915878195,32.385603438314135,35.28849713399589,36.68047379502408,41.688107564297994,45.30421290152263,48.38100386009183,51.4389570515815,51.6436182565768,56.326595232179564,53.1256697806102,53.6608827605169,49.15439428552363,47.75773509866823,48.219255761881804,48.00783734309538,45.258031856415606,47.72668527547331,47.50424000763972,48.25926087678011,42.74032403369393,44.222755157001934,42.69432762506959,43.37192038245881,41.44114775752041,40.496629152793005,41.345431226657524,40.81463186849812,38.33175194650622,41.07506896840971,39.46275654355009,42.185702232126864,43.91711001977861,45.89542317572444,42.46278893503206,40.33006705558337,44.3136095389975,43.217657767481256,37.25940518756214,40.58873430937444,45.66662860862516,40.87187323450522,39.339579106964095,42.89990478793831,43.4912477666494,39.03599250440945,39.753217515616605,37.484656972200554,42.786586224999,37.08194129362638,39.98811382619147,43.92790037149564,45.89214889925106,50.202434423931585,50.167104503844996,53.49547198130578,51.707432117099565,54.37803755913797,53.184008194989254,54.75956131292484,52.274298082982924,47.421597070329454,50.10049566846292,50.229807809223225,45.67018556547858,44.76425550178734,46.42988083922518,43.481067503353195,40.205647754657114,40.38614893634427,40.78392438869221,45.82880046083179,48.62601369830083,49.886610209284015,53.61096397124361,57.236337299544154,56.011735543023555,51.20806015443412,53.82245007754364,56.24555998798382,51.99054637630836,49.759160651335336,53.31844006635775,52.72336014744964,48.64303885686899,51.776289997264435,53.65817015023624,50.191088506484526,49.0324552953909,52.030350689792954,49.46773935532266,51.83590844572514,50.87458405089657,52.33680263064297,50.31917994515198,45.62649548887645,47.51706658102351,46.810873009675724,43.88923821839204,41.98328807892378,45.18142938772995,42.30093470339336,38.16751178838267,39.37490677045346,41.68328172782027,38.42304346111201,35.26218261315383,32.61154663131279,31.625346163483968,28.556011935354572,32.69780960194227,30.49464176543792,34.02783203908443,34.12586827049852,29.387353664785525,29.531666484035956,28.317524056930566,29.962019441711107,34.65170798157945,34.813185769411625,38.06685656317316,36.96902932206515,39.08061386032226,44.490607313331495,46.85054214742817,48.67514470101974,43.59839642202287,43.90085769262417,47.868935208187196,45.571256957516624,41.875552410556956,45.08258441180588,48.659596102857236,50.165012897515105,51.59742677471789,52.17653735807467],[40.925416366620546,39.007515934928,38.70271156365078,34.79837806589469,36.57567576508551,40.842421502598505,41.51642581553917,46.10145292424099,45.64388092803246,44.763248908364396,47.74970896516176,51.410692983726825,48.4703617000877,45.93541119170433,50.823276671770934,51.882512770047754,47.84172425051159,50.37089477168526,48.79363121109709,51.176525344902,52.0693246364872,54.50072278220626,53.15548656631359,50.311085659628475,48.6800932336924,46.86391783430077,46.845853651809044,46.08194917390402,49.77651894042598,52.04333438630755,55.95188260848267,56.83415353156301,61.00372757616441,62.92494115671412,59.720239322976624,56.11339949446164,56.1100140997621,52.92575367395358,50.478540604742236,54.29950566554433,48.89489632545105,51.24012971691246,54.31661106738674,51.30483399908015,48.74017510461619,45.830294536938126,48.15669628372969,51.69078652653152,48.823726303180145,49.40916316071487,54.264543502877636,56.22905390820724,58.454468657767634,54.77321508627936,58.91323852994421,62.327497105776416,59.04359709796063,58.57881020021035,63.52059262175193,63.298547978677966,60.67249175376826,63.745907491,63.83217897106202,63.32743273424237,59.911221125038075,58.1834964339763,55.4629101214416,54.957951556674075,51.61363913199188,52.20693689614224,49.977648517946726,51.86795506596898,55.034402462068705,56.278873439874225,57.762661450098,63.44921753415268,61.441544149726276,65.66320471544927,63.780275566916,63.14295600667458,62.09787262234323,61.21959383468017,60.986277586322366,58.17033541755429,53.98714737538636,55.27322685007285,56.478114195593534,59.81484228861601,58.559191543469446,63.8352424145228,61.388163126852035,64.49324122700214,62.32789055717601,61.79807904182859,57.53539753062226,58.72809800341529,54.696440467126095,57.917666515809486,56.226518424185834,59.125115062971325,58.38727964162145,57.633553544507855,57.12580922257069,55.153727337659035,54.867586747072764,51.06857591023945,52.85349167887196,49.63003522242546,46.8721532393526,49.29159837278176,45.601996149447324,44.86272261087801,43.756005311664154,41.436305574134195,42.59322511469583,39.67567502633912,42.1247505226922,39.05934523785332,43.25911589872253,45.45655747243547,42.51821237492226,41.93546798638807,37.342595315401184,37.81735802612911,38.66571019986359,37.61266348463993,40.29267558693197,40.7526297780482,42.376174215369126,46.04026909255473,42.47385398772562,46.4060111198548,44.94425887013568,48.73783655807559,42.997540410349586,41.384784155412916,36.79744132413707,35.86587497528468,34.28280223915209,37.60007888870056,35.0547876517902,38.20015219039079,41.260017930502464,41.09355786824917,44.51990678635666,46.55446407026209,43.97307504469733,46.272756222744675,47.02018376900162,46.94057871687074,49.30547032804857,50.96220456199531,55.48728035912664,56.62543265398502,57.14198840005883,56.46570361028549,53.40954638806276,53.087721057037115,52.263657205180316,50.14053943145217,46.45319868264871,48.8656155782051,43.67164208025458,47.99640572787776,44.71153433068285,39.50774990601024,40.732954344356834,38.17463257073883,36.48622629988054,35.41231966145905,38.31108095572259,39.43401807957848,44.49171345400692,48.02944272086222,50.961211400537096,53.95527247577397,53.889330893888854,58.75697429052676,55.70052599825069,56.37395095866456,52.01299010991855,50.51753954248769,51.284573886304244,51.22420559725227,48.376802597491526,50.74819457178409,50.301996485100354,51.27946694385891,45.70789182522461,47.42286960441906,46.05984607619379,46.66805295274002,44.863972805011315,43.885473558958374,44.757147012338805,44.26351368613816,41.5733794602313,44.25922934831023,42.46324201088693,44.9864897579925,46.685137135345336,48.44381310853932,44.940025361710255,42.85248993940269,46.72037635582975,45.37170157011366,39.40915127756944,42.74773049041586,47.64196091206369,42.59556925275439,41.04085028749262,44.51453770176495,44.90044973961072,40.310333489964826,41.037823426408714,39.02068824850052,44.29917326141891,38.9907879757316,42.044458931437816,45.89595162172567,48.14065620456317,52.25629364999484,52.57936698987862,55.98554282392027,54.34119724667899,57.13988811995623,55.981303928171194,57.7545699771357,55.19906976030695,50.31276106577838,53.15048554202684,53.415940817431256,48.78811433997929,47.91223505880197,49.76152600687391,46.82866062488627,43.40871272290144,43.71332391545594,43.81836852074813,48.87582485626662,51.67451733949256,52.70301338146838,56.395789515306426,59.883546941506374,58.61122668207076,53.82626729060356,56.248310143734166,58.55813000505568,54.27337850010097,51.98364523138496,55.338083158418016,54.58504369308448,50.50087696657317,53.68192707955332,55.35150191724394,51.685220371414104,50.66449900027728,53.73889845772048,51.35593678370428,53.948428082375806,53.17888614467567,54.79326974175408,52.553843851657966,47.87033434511932,50.07080493931161,49.310096629989836,46.254027621769055,44.6108507899907,47.96648056350319,44.89237199032121,40.750569815004425,42.28788418894315,44.58971115386475,41.147198658521944,37.96966194557736,35.102518494871426,34.14574509001753,30.79919096816581,34.646115459012655,32.36732072838213,36.035671945192604,35.8370310818614,31.112914468014427,31.660759352963193,30.74375228355766,32.626220845958265,37.264974453308504,37.27987687387322,40.73233537537197,39.354950471962354,41.18543910087738,46.67938259925496,48.95489600318522,50.641951160863876,45.49877321639957,45.65947193788766,49.48282759608466,47.119912610288175,43.25217774121276,46.43147124719807,49.851889668989166,51.355751885527994,52.802958079206824,53.36055245501824],[37.291997133377805,35.54868660379581,35.59262595486582,31.380878134642757,33.65284062824633,37.365878785551224,38.07479026447332,42.66064524723109,41.8828976991899,41.09375382032726,43.947394438384606,47.6695144666691,45.02964671729491,42.26258441776575,47.20457155330838,48.47818846026327,44.62139245271468,47.27704385974281,45.933313719967956,48.582245085243834,49.66813209442221,52.41681056227256,51.13990508130765,48.49565434458796,46.73360016497947,44.542973349253515,44.51008114957152,43.40368946538652,46.905192599507465,49.030182639914166,52.659327170631556,53.6321576613734,57.68843979838659,59.77440429782595,56.754348393177324,53.25443623870299,53.33286026467745,50.47051999836171,48.26909860838645,52.53286809815849,47.11438939309774,49.18560491260601,52.53073967186927,49.78844522799615,47.43692945694798,44.76017376209601,47.38798324815984,50.619571855245574,47.65488892397884,48.80444883008142,53.55047173115268,55.48335735910089,57.50074823349512,53.45076902188621,57.60719107296207,61.00858207587711,57.63292088652627,56.84822997534869,61.78190884590356,61.80190454211671,58.82625170384854,61.601593554017775,61.40625527003643,61.04469210635127,57.778259878316085,55.84501351298788,52.83204463278275,52.068801990865765,48.552269898274425,48.84376469001511,46.58472132373776,48.37701307358558,51.62995304114924,53.18929696423447,54.630744132318014,60.45533755555755,58.70885727037886,62.8472953300895,61.17530484176132,60.84142734307876,59.788883766736134,59.21444654028217,58.887276286517995,56.305398348513116,52.11265515398324,53.02068037539009,54.184175744590014,57.28576488071654,55.92594024083488,60.96439256594379,58.34935215452675,61.311978725573034,58.9709832757943,58.34031045069775,54.00794131112526,54.98649837861982,50.905303341590056,54.340740922299865,52.648880148905775,55.54501927792013,55.134070255789226,54.54858704700921,54.294417867033694,52.48229642197578,52.69804440289926,48.7666687131711,50.79597648361598,47.818214925549306,44.816745394490525,46.93570413143298,42.98249592464741,42.226670451258535,40.695053325656176,38.546892833424046,39.41764371883772,36.66561437077617,39.174965111257784,36.3231038931783,40.461398065547634,42.36077535958948,39.24548417173317,38.512784250933244,34.03610762639371,34.49187669615139,35.2671730848828,34.73803101916751,37.37760957807503,38.25232255175903,40.17271326652827,44.087017747254244,40.88463610922691,45.057782614768264,43.78793147802089,47.23765611375505,41.50947007358999,39.45225639029923,35.0185043821152,33.76803549238449,31.90571847466554,35.33312482554316,32.93591266924419,36.41513715195893,39.073436885939536,38.78533294585541,42.34510945166801,43.990527425841385,41.32674207549443,43.415094139797894,44.1950931767965,43.770264509717,46.22155153582409,47.51156779670663,52.15672945865459,52.92981256126388,53.46149232732267,53.03997782258337,50.05544493342675,50.01050458117951,49.23943495632756,47.48949254994834,44.08018355934703,46.448680656235716,41.54828259526702,46.0530134637963,43.224389364929955,38.15998389338335,39.72131261954065,37.59100522749426,35.781390640910956,34.20240553047142,36.993972544753845,37.69771196430508,42.79410364674423,46.1636600302932,48.85999592263344,51.68877549049497,51.29533662061206,56.372205001485455,53.59645027796393,54.414814681688426,50.36037084907926,48.597688788275306,49.90268881584844,50.17203781850777,47.19382041490711,49.553978211793826,48.84261380654518,50.32464231368055,44.8393204544716,46.83154882658118,45.73650106341847,46.01073436745774,44.36144921610149,43.220564182902734,44.10096023955679,43.72163373795475,40.6097360301,43.233382565937774,41.22468070726412,43.31592873861085,45.15015146297222,46.48238207647525,42.83182113611282,41.036992773624206,44.80978898928687,43.01545414496897,37.1684223290137,40.71147744791867,45.29014304810521,39.90691658295559,38.54793833927599,42.02504554828709,41.990345866557114,37.34999767630868,38.421801967141604,36.69522242382741,42.08384246747258,37.45207567267572,40.366310763298436,44.20257616782347,46.917879850240915,50.84712238946132,51.63621477299358,54.88713309283367,53.21618443419484,56.0470585123401,54.692670009287234,56.86510990722435,54.43701405600941,49.289781695367054,52.234323959422795,52.97214693133554,48.28094073073569,47.20435058582065,49.332646907500575,46.75277929132642,43.03829987864762,43.160659868130914,42.80999932331384,47.64686160803525,50.52629608215577,51.258411029605085,54.77880594273641,58.13258108323007,56.63116066863109,51.93681555570145,54.24716377441493,56.275436855609186,51.8891624964336,49.699619645311316,52.83311996988974,51.841078196182146,47.84365377561531,51.24355933909507,52.64890494337346,48.74348023313074,48.075079603517004,51.33228926940236,49.17677790475433,51.960809117412445,51.2503954618878,53.21272777088971,50.9089872319865,46.04914272460324,48.613139121210196,48.08052033592652,44.86411204933223,43.333099852150056,47.16775070858924,44.1496498514404,39.72796712939008,41.57845576852982,44.272331685967494,40.83237770968155,37.4133076230114,34.056713990934085,33.723210799781036,29.920256064161414,33.40334063744596,30.56009147534174,34.06406198511069,33.27073417672613,28.730694840757543,29.671545589074064,29.34146741309202,31.267398552288757,35.7690189836082,35.259900395357135,38.88468037130051,37.01788872740673,38.57985779527736,44.094214520975875,46.34462307631255,47.757355064432666,42.55588922374713,42.71830675326491,46.333870704079686,43.772222975297296,39.87607411899861,43.153181172610445,46.37824563997121,47.88084862804317,49.37090562365199,49.95725829793109],[39.2861165967118,37.77842790014117,38.13939153156246,34.36491602391153,36.99046011753477,40.697639693784815,41.78407421109174,46.38305993564043,45.72725247408574,45.26312021650326,48.14447276029861,51.77269496949565,49.3797545683262,46.66567594595476,51.6823695253416,52.99261740361128,49.25007724364245,52.04270070227976,50.83394328053993,53.466738760358325,54.619792581527754,57.35627091240659,56.11463257986792,53.451373445751756,51.6705946788787,49.49290775367593,49.37685283430871,48.19979028196166,51.631668985439696,53.61569180204862,57.315500942608814,58.133109744692625,62.19210156593264,64.42175678298338,61.40271254078705,57.983563831421755,57.92425120359071,55.207971489169296,52.998068599825736,57.19923794297077,51.86617909853103,54.04930227441945,57.38804867347224,54.603894732225356,52.26225024434468,49.492276662837746,52.073065673468236,55.36379235591075,52.31962155357194,53.320520226514496,58.117372256239165,60.000397692129525,62.128036263488774,58.11158662928293,62.19811605062666,65.70101669646576,62.41137578178524,61.621377632387635,66.55395526993703,66.62135099766324,63.72305582048708,66.51921404127422,66.31249275902994,66.00875446006184,62.7327899971966,60.76078250173451,57.781629803357916,56.94852282443995,53.437885448971315,53.616996290892274,51.37632474602775,53.138398061853046,56.41418855566173,58.07812431713582,59.4653086137434,65.33088290729117,63.59193203781508,67.68804557781814,65.99993740571323,65.66129579320153,64.50284672958955,63.8959764139041,63.42178279733533,60.77898972562727,56.653940656321296,57.60804159555926,58.923876623412696,61.94061461634309,60.72358206849781,65.70931964828976,63.12574682359872,66.10088519975932,63.67707748898545,62.94082716046645,58.54466234344529,59.44602741687667,55.30296696233947,58.70576236961767,56.87940446320843,59.54302496887059,59.39059054732604,58.55804646704219,58.542592109907574,56.471209801726545,56.684061564599396,52.6006617119259,54.385062140016494,51.299216773354644,48.17516173035064,50.46420841062971,46.52301412637357,46.14039394007183,44.66637176878305,42.76898092740225,43.84422285707849,41.233732575192384,43.89433109768955,41.15257609444552,45.38099311704215,47.16520994883427,44.01597808760659,43.14416168302561,38.681603964669954,38.943986113838335,39.44955879995801,38.891504015513675,41.06478654039103,42.08594194602122,43.8184440197532,47.84269876676587,44.368572220961696,48.44747329505222,47.40288001713783,51.01490094690172,45.38103600771962,43.49032750698689,38.79369742139294,37.95595448064238,36.32927124136487,39.869968538381,37.71051162246709,41.23476497071988,43.915581914383246,43.51269048820818,47.061609808906745,48.65211498334405,45.91649343431806,47.84633804539356,48.427648198466805,47.860190106519795,50.05701111706089,51.2864949679978,55.80638888197321,56.39553654825635,57.21009957224196,56.939253096459225,54.12540490439577,53.99073990841687,53.480728343080976,51.57773471606998,48.36185355725959,50.95445347663584,46.09174754613719,50.605972096856064,47.64320455661974,42.602640977808434,43.880906615552384,41.68622140299374,39.68285803413414,38.34388569335541,41.05406187249071,41.98935163377322,47.07889898934675,50.46229010983976,53.21563396072196,55.95012089137106,55.68743565827024,60.708118620548866,58.002847532763504,58.679268635080696,54.641286326917886,52.666356872915976,53.8887730288807,54.134670170208835,51.29315538926125,53.89688564069976,53.3811542788073,54.76737711964855,49.328811081795784,51.10960666299391,49.817375329829034,50.09550162378257,48.193455837035366,46.92619642054694,47.599332356901265,46.91227570992131,43.83412358042442,46.22000750353228,43.97942861146151,46.27263021937015,47.66423532894029,49.168675109532096,45.694147627404064,43.45695582759242,47.036261401149154,45.46284447036958,39.50689238173268,42.6448105275011,47.27144339007694,42.02692736217438,40.31201744872902,43.55524411249176,43.8160882925386,39.09163375349636,39.61835077675938,37.93604917346075,43.04257865160401,38.28522578909444,41.58449898074732,45.22516835793166,47.82473876328762,51.60398229536604,52.4639819119202,56.01250489255484,54.67660530720437,57.71869704203822,56.745516531725926,58.800687549213215,56.05111589769177,51.23154338282166,54.39856666297703,54.81131425336817,50.07578500971216,49.376440190767426,51.61079483593213,48.60052878717828,44.930695207397676,45.71604375011719,45.20351229554331,50.43595441982605,53.10768434905845,53.65780737804688,57.37104177224991,60.536707263352106,59.37714893161863,54.60574472557932,56.55816772685978,58.80669672682439,54.61352212465824,52.08149760205484,55.08958763080466,54.19687417060694,50.07277259605402,53.14303484240724,54.54129964527549,50.69613272082422,49.70847904612013,52.78836705505127,50.65710316262202,53.56670253204579,53.18031573941096,54.92494804648892,52.28051636682458,47.747197181953894,50.40933360222746,49.45384078969653,46.219879537146035,45.10264478303497,48.590458505810176,45.158323349678156,41.1187910162486,43.236946099857505,45.417293270530145,41.66335457656472,38.52670564979118,35.40161654720542,34.42149479671133,30.726186983458874,34.03775337647911,31.832220168160994,35.72560130233878,35.301803366010944,30.630436282804915,31.741765689151038,31.162529967840126,33.50393808924446,37.9804728340361,38.079017733944504,41.87689947386763,40.357636174926554,41.555116273438095,47.16543136499907,49.147566737392076,50.837242241298476,45.680460727842146,45.384750386206186,49.04015293094761,46.91333758010292,42.64518081999331,45.54733469211289,48.80335783201311,50.31632359015732,51.756457912374934,52.30113711929926],[39.57447335770226,37.77627737119047,37.645999379269675,34.2363348032544,36.29093014158434,40.64369617418067,41.750129961818864,46.348576613421514,46.16455529389991,45.72474417717946,48.83206488421822,52.306786357369894,49.65135576962552,47.32400501979547,52.349843180918135,53.37502595801905,49.51128203274141,52.3557002661795,51.1672037060758,53.43608775687698,54.61660938201534,57.058478950253104,55.95428321678951,53.16653920936151,51.3006888100152,49.404140987268924,49.06358707128804,48.069140229791145,51.59925111919816,53.567577722479506,57.73243597461288,58.23149716916883,62.448144152953056,64.63396720043474,61.37963903501896,57.94691795118781,57.621202152882326,54.76988011885552,52.33949738512973,56.137883634503254,50.95359781674435,53.51996699167651,56.68607611923953,53.69359977893472,51.34485607404978,48.306672208943624,50.781898403299984,54.18492557864538,50.99138662504267,51.61598184185899,56.49615359430637,58.294588896079524,60.65836949109788,56.8177082159147,60.78280336436484,64.44685729360701,61.36569733813047,60.70934555512152,65.63975150113856,65.6929325709852,63.14757477654491,66.1927677766335,66.18263665882021,65.9780577323795,62.53017224552922,60.57695334456727,58.028629868921016,57.27035565963732,54.06772721032984,54.41466960481615,52.33479450411685,54.37110951886235,57.41216952115681,58.855838485818175,60.03758875258908,65.83774500242491,63.73035918119935,67.8220759063864,65.85498004159236,65.22198782058409,63.896070505027964,63.001190312879395,62.42988939974607,59.561414368635035,55.51577118419101,56.80821365820904,58.34662983195696,61.45959692039709,60.555036882168686,65.71699513199584,63.40556756569809,66.63895799025437,64.30768757837512,63.5396923563557,59.15537370806178,60.33113450154336,56.18576482979188,59.19839690082203,57.26069014553246,59.794018985965984,59.355289446657295,58.18905816159222,58.018026247728486,55.649177364576936,55.39089945594017,51.36745109001708,52.85020873439768,49.530038036761205,46.59256955658123,49.191960199884406,45.518149572230826,45.264656296227756,44.262294015723946,42.300176630747444,43.83261432532951,41.15856286552579,43.93581032213385,41.13938139714513,45.6891239674317,47.55430764456315,44.58543849200142,43.683154734394975,39.057827174141764,39.13537633224129,39.54668119674826,38.375709256972385,40.41244812130076,41.05698140791041,42.4507283994379,46.284544300663455,42.437996445499394,46.294951689593724,45.197793809502414,49.106951574620524,43.523769746764046,42.05130601193267,37.13300620909477,36.75054365717045,35.51852866211634,39.05583959986584,37.08288313223147,40.48618929995186,43.443001840910924,42.9438237441269,46.367210146326244,48.217219048658585,45.48169638771442,47.481357574962665,47.89195196610655,47.630371384337984,49.62447081150302,51.278512875834174,55.61250875212308,56.647176553047395,57.50462906409144,56.940998558743495,54.10950636098975,53.60190947240047,53.164192828867435,50.784990676596664,47.42103154341476,50.221216890169664,45.15779065222029,49.53847582814066,46.15681836379201,41.0811926279602,41.92212095371881,39.50013119685177,37.40633895590324,36.505363111609654,39.20612823576726,40.569181301829474,45.611818015488076,49.11648018555182,52.089007419881476,54.89258017233052,55.02176461303881,59.80248598723679,56.91242828625591,57.367112879006385,53.12247806978204,51.213005715707105,51.99725392637705,52.02389564947484,49.35571126380013,52.15903589510611,51.990422681799366,53.03209052357545,47.65067278615756,49.07261946437941,47.49613617385564,47.89394608210818,45.73646468327151,44.47468674631624,45.03696947106129,44.16647695033695,41.37586613000339,43.738591147847586,41.627515400875595,44.292089088077994,45.52917755110509,47.420228896713645,44.09949060134728,41.582851951779766,45.250443762491855,44.11277467321538,38.06060819345146,41.0216262562459,45.95943351160083,41.07983988365764,39.211576049227816,42.4935718011582,43.18043148453531,38.55374216310771,38.812423417341336,36.783260599880116,41.832093530981744,36.39824087632016,39.731823439599005,43.42640930991859,45.58588523842988,49.580262481854454,49.97924878451003,53.600563950040204,52.231929664792524,55.21587217343233,54.38468032345625,56.11032399905329,53.280182239996805,48.65959355962665,51.733430497813615,51.78837030771976,47.10548826858018,46.55956247635244,48.5983318838428,45.32913601876524,41.87029287581849,42.83057245313242,42.635976279560865,48.06413395280415,50.645673265705874,51.430939717842904,55.29402131579826,58.5737947596023,57.63341683298818,52.78181222399849,54.839699266303484,57.3559476233982,53.26980227240753,50.64797890136196,53.8947350156222,53.25812378127395,49.05677174272059,51.927386013384904,53.62232597729615,50.05585153265508,48.72242285009591,51.63047592786245,49.24636109724559,51.923605867744016,51.42855228449446,52.8616734979375,50.33949581597108,45.93011944779149,48.22849451286399,47.12361868726375,44.0467601612172,42.7726953699066,45.88033685356519,42.46869781964778,38.61837292041777,40.44344288065533,42.36058726100406,38.65752671838234,35.67875850120199,32.946652189947386,31.54779380727437,28.24213778120586,31.925752675900952,30.134594164002454,34.10146065334489,34.253858818091814,29.42675683573723,30.099472934410475,28.98984504654892,31.261656811118982,35.83808247669726,36.421079105714924,40.066387873407315,39.05044842957583,40.47228116594405,46.056138093800996,48.04947732497274,50.04811292805926,44.96398084746477,44.663923003419136,48.55637651223321,46.675054413638556,42.451545332908985,45.26186521355391,48.76406523547844,50.285307756683366,51.68628704536564,52.23431646319607],[33.74506523669887,31.79422637695647,31.5320983897145,27.937249272015734,29.9925574996906,34.28280200241612,35.374201660061175,39.9740456815199,39.83128465413607,39.48458092226926,42.6456960574219,46.04414974342052,43.47827236393036,41.25745805396305,46.33736245684505,47.33645240015403,43.59303542764438,46.644996284143396,45.80185535139249,48.03676432407191,49.51308282163207,52.08393810261047,51.23302766396788,48.610409611446364,46.46668564626899,44.34514480139727,43.74200197832123,42.46899521677393,45.8301247664777,47.59763469525151,51.852263128837166,52.159128233247934,56.37676737824566,58.715328361294624,55.47573191189921,52.17260871860534,51.702479353508515,49.14315469754345,46.83523478192425,50.85309041185521,45.79632988294954,48.35534154824149,51.72034339336065,48.90951466953842,46.87189909064871,43.9083030990716,46.71791018515767,49.781032476471346,46.301836751337426,47.39291895910089,52.188824562406445,53.86688842195462,56.14048781543865,51.93664546938648,55.81260082977674,59.601135534500486,56.58917639089736,55.6097421500695,60.518020355365195,60.89825016473848,58.21000060115866,61.07881916799395,60.87684293020167,60.976653842355546,57.5703468581267,55.35154268700355,52.86110124496046,51.82660419843315,48.739015717959724,48.85829086376576,46.9298110890272,49.1363931778257,52.008695919405646,53.63069222496041,54.52140334330745,60.41831070652647,58.285094397867546,62.25001632742878,60.29199350209766,59.78154034800878,58.29281552990197,57.54329975080689,56.77263976686872,54.01407898892702,50.01981076910509,51.111936371567175,52.79560710391704,55.687844879681165,54.94188751143376,59.95445005366079,57.69717637631992,60.998779579413124,58.541663860035655,57.618129619023584,53.1732790427632,54.36155985142186,50.17067872970328,53.05058548593196,51.02325408907295,53.46311360505887,53.118489842038755,51.89623236341403,51.86156164518024,49.4720602755232,49.443576247222914,45.324654161210844,46.92426236034986,43.73981993224801,40.664623312845734,43.110453862145896,39.31954785575487,39.08268384178745,37.96540747052423,36.12502304889069,37.72099898961973,35.19876318566121,38.166282330672196,35.61935175833059,40.41506227232803,41.94494568961694,38.95462521165133,37.8230694264374,33.20214478431018,33.05501342071488,33.28995284255721,32.180320267046866,34.10980777558091,34.912917694355464,36.42943961761703,40.41599328274331,36.77423880842155,40.80678595674041,39.86505200245168,43.54132378702462,37.98239347234136,36.25211612076171,31.362558833238666,30.912321170579595,29.67133865105396,33.34833750645144,31.783152169138024,35.52124240986254,38.184577076507736,37.41467106090215,40.88662120597857,42.463388745726874,39.626491534063135,41.42359142626811,41.73514524526229,41.34405337852971,43.30247794554424,44.908223747725906,49.24820463895598,50.29198012506615,51.142293188167564,50.58722168402253,47.796653215356955,47.303814579856365,46.957069418462694,44.63722511298608,41.46725262132802,44.38073466485234,39.52081220580578,44.01630636982669,40.88053483933351,35.966887522159496,36.90233573109385,34.89065971543521,32.55961445085177,31.30635124730548,33.864503660798356,35.01860238441765,40.07759628127986,43.466458657668774,46.31816673963694,48.9798266107908,49.02128513363352,53.86261904268146,51.1660646590724,51.6346269893038,47.610882437080484,45.43098481528041,46.5695578682999,46.86133986145997,44.136094622389734,47.07136334328461,46.83299179569514,48.27324088284578,43.067268968145534,44.574991243205375,43.149009153648166,43.17782227989593,41.05133461367287,39.58670159354711,40.1155950130697,39.3275463206322,36.17230700463225,38.513788573886266,36.284118363514196,38.635167855083466,40.07816903522071,41.682670451296424,38.226356745455895,35.98980491490746,39.7030689061148,38.270471414215145,32.28160736948959,35.5352059419812,40.34135980178416,35.26412583242755,33.6385239055873,37.0776408321331,37.48484832046023,32.88716784498922,33.57742529255635,31.58543789281084,36.8929468178416,31.802658286739263,34.82078179418018,38.65376285329163,41.141297882698794,45.15524050892419,45.76444754963036,49.110560235308284,47.52590329823577,50.42676299887801,49.291292774858086,51.333275749224434,48.73400982878863,43.76945434544302,46.83330925443576,47.36707348366051,42.64387778799159,41.7927468671793,44.02232864640548,41.18946263542882,37.45821437719388,38.059503481560505,37.559142181472836,42.7418163848716,45.44051619606276,46.09466598519628,49.799214310154824,53.07898691206909,51.896704205199256,47.1042811118037,49.24420925505193,51.55162416421677,47.34354328272853,44.884474793956684,48.11205084785544,47.35254052838967,43.2240431889788,46.341798352635365,47.964792000016615,44.30008357888535,43.23392174021625,46.31607844609237,43.989608232248905,46.67848446623387,46.03335471572934,47.75916727713481,45.389182087570234,40.68951094148459,43.13588603068455,42.38854584066791,39.21874583252507,37.77799088099219,41.3864132130698,38.24287984034029,33.96575329032516,35.87143695740589,38.35852001411233,34.83389916751763,31.492850254699484,28.27341850913477,27.70702759274659,23.992358306588862,27.60744601309401,25.07050902253499,28.75160773594777,28.485094018070864,23.751634457505386,24.495243351312265,23.80555937640958,25.941004791347446,30.473394318787612,30.568143971301783,34.28264746192969,32.964256084191895,34.34872507741878,39.9351223801609,41.999512128239786,43.84288996951383,38.71922799643842,38.55615433084317,42.40460719122299,40.36251455403411,36.2390364857305,39.21790827827658,42.71314641946693,44.24702883502572,45.702824296800706,46.31353359558472],[33.746407230925726,32.22431298665751,32.64836593125626,28.992180710061973,31.847221895822365,35.46532867821672,36.787558790953696,41.380821799713885,40.87953736592132,40.74070665939627,43.712724489229416,47.178011488484984,45.03528459934496,42.505945279967406,47.631496525259074,48.91248165277567,45.376317167609365,48.493701305256025,47.76721845137248,50.31529050666386,51.84766898317055,54.68840581307856,53.7696293334608,51.27108348927225,49.1591957132309,46.76625725380779,46.28351735310252,44.76601072582629,47.963155185182586,49.62327089936003,53.50789891389769,53.97467116329151,58.04670218704743,60.53836962183773,57.51620234386382,54.30055542760699,53.96332277903041,51.66549516115684,49.57375135491217,53.9297885391244,48.82463670576391,51.10146641073997,54.63390494986954,52.011256610382155,50.02486058742715,47.25794972531415,50.163204324030325,53.11729186360535,49.70019116128648,51.077075504451,55.80642187157559,57.5091072426946,59.631018839884916,55.26284026676173,59.181720463614575,62.89945866301716,59.77175147192827,58.63249069722377,63.532712290451514,63.99694889347527,61.031075584127485,63.667979206752776,63.25806005346077,63.35143963178858,60.09714864332402,57.80261285241668,54.959196483171624,53.774355494944515,50.43038461529482,50.29277902944549,48.25362666265739,50.223012942581775,53.295180118309446,55.208575835207114,56.20480972630151,62.20025214310587,60.39609952308175,64.3165004265221,62.598186540450236,62.36381526039292,60.93420125657198,60.438296592545036,59.632703521087976,57.06371363000445,53.06325237558479,53.8519007286624,55.44719024488582,58.161661528191566,57.25120784804298,62.044606073389836,59.57519176194792,62.66382412214735,60.05229542668291,59.06480580038353,54.56047802488131,55.45274913268366,51.21576354740153,54.40750747689833,52.38103744689428,54.76990133776785,54.86957757138496,53.782855132141606,54.06677364334476,51.78242317721955,52.21309985496074,47.946758083474016,49.666262055662465,46.6617500029917,43.33685169247019,45.57241401383809,41.5483878423769,41.44258293293237,39.908492900343205,38.32020708327117,39.61533228853111,37.27380614221295,40.24285930201752,37.85369605764278,42.43125054164028,43.76734057828385,40.58605101751223,39.362859752225546,34.91165222696669,34.78985125059559,34.91616430735693,34.398034760443394,36.121534027176345,37.39948499854458,39.115507318808454,43.33789791473178,39.917504613474,44.07555485220567,43.35498538143753,46.813204015330484,41.31399446278884,39.288504613499065,34.49045446923363,33.87046505606642,32.40933023968099,36.146582348324785,34.60234462399326,38.498483143594996,40.879267784822204,40.10018206445754,43.67306686417174,44.93678008177775,42.05133968539712,43.648484198303294,43.975135520698004,43.187563834672126,45.15474808103536,46.31312785952634,50.73232393827096,51.24506792891486,52.2420187856654,52.05590621909311,49.4069647077639,49.20153129162165,48.97434715140381,47.009627082522385,44.14432267438446,47.01124710233572,42.407753865058666,47.023428239441465,44.22978764123725,39.4091409386439,40.57108991548902,38.77793263998573,36.412845137142966,34.889954313967415,37.365513989042036,38.23641935498749,43.3001701402864,46.55335395507886,49.212871416874016,51.72130852374357,51.47923420308216,56.49431857594089,54.04430639112073,54.62021635810388,50.83866999957206,48.4414077021254,49.959801744434166,50.46202876756817,47.67790263744397,50.58843335036293,50.15492284213541,51.882457004754826,46.694231788166874,48.39280100374169,47.11785452885688,47.00593869471579,44.965179818391874,43.40663859465641,43.89307348244776,43.08363838632115,39.68429322418163,41.86320949986934,39.36786821921851,41.45340808537588,42.74918132504406,44.06893264729244,40.59817547423745,38.37178724138067,41.84412319755874,40.13045724614099,34.21222098155842,37.357885076410255,41.85937649000111,36.537802762468445,34.849405487380864,38.090761753652814,38.26509472532981,33.53541708809673,34.1526508910714,32.53705775583076,37.707766265448235,33.23161583481159,36.432188923487075,40.07183295231956,42.90908082906183,46.605270582867966,47.70577159803916,51.14396869782992,49.797595941764264,52.86956394961702,51.83570073801174,54.12087395159996,51.41471719354625,46.484176085960826,49.765209682539,50.45129100537787,45.67351126820093,44.915554240425614,47.397604025668116,44.57031535495949,40.684575422761405,41.535712922722965,40.61051705955935,45.8115256819744,48.445436038614204,48.74366782444756,52.40401852934968,55.43821023806082,54.26392091745933,49.52364240596657,51.3225709337021,53.499164482138255,49.326559373890106,46.74888029178235,49.655421343162736,48.71561220076668,44.5965361450801,47.693330656928204,49.02481252405254,45.142576911386215,44.215722176591825,47.34756313668915,45.283710620502745,48.26193478888957,47.922040497941914,49.80996648752098,47.12515068440213,42.52497358842917,45.37653051047124,44.52039288469574,41.203220621765254,40.185820652241276,43.93204931898398,40.53336542090149,36.33735351543915,38.692923595697046,41.099536755544136,37.35771174097823,34.06488506673467,30.630701051900644,30.08237897544687,26.08624346136706,29.170886786994956,26.639966570083537,30.459696595861097,29.846553684336847,25.235610229002337,26.54150990033299,26.250490596192606,28.699436765665258,33.04858570330993,33.04842493778928,36.9937726448703,35.4104978340669,36.31289576078316,41.95192615014239,43.819652066856904,45.535722355925664,40.39257208782903,39.93887649018933,43.569306425745125,41.577870876103944,37.18568682537322,40.00900473883147,43.283298366972,44.81753856367392,46.277814483064795,46.86660595665396],[36.14882756457843,34.700588853518354,35.12147894627195,32.16524735044719,34.95015801336635,38.90816122655003,40.56445715514397,45.12862102389576,45.01461338245543,45.16290497895386,48.26809173887434,51.549117691750446,49.47142787656161,47.215049421073594,52.38195835216361,53.527191334027194,50.022391069814816,53.26075423415415,52.63552945573392,54.966548644543316,56.551602783643084,59.21191872680073,58.38537871013662,55.79403487186359,53.635865647546,51.42230747666527,50.76439501273348,49.31073092018007,52.507674121850584,54.04613666095874,58.24046832703025,58.40038962710924,62.553913129949514,65.1334767019567,61.98408877971393,58.8312448973456,58.231658442471975,55.97553799811479,53.7513647423217,57.811917023316994,52.86625379537246,55.44581547476831,58.86489296370045,56.08709921054788,54.09223361331202,51.10064680184209,53.89534352985432,56.97075047125607,53.41874759373368,54.44716839862401,59.26192748974496,60.87559462933532,63.221754053225695,58.99637885439643,62.78455686153974,66.67362415569897,63.73513522812358,62.67648315987356,67.57146443865001,68.05910870497642,65.3609573636995,68.15947030261789,67.85614717933848,68.0425686079748,64.68433175020796,62.37949601354414,59.803081259260416,58.61717806982218,55.44679788481359,55.32647836570018,53.38621661089866,55.47195996978005,58.43862589380042,60.30078895004739,61.15194147231745,67.13563721469792,65.13288961879766,69.01586644929792,67.12781538181713,66.71978849833006,65.11013939172518,64.41991550046649,63.435793680266976,60.6918100176557,56.80332163307003,57.82758528506484,59.67079481377009,62.368724570726805,61.753724788644,66.59989319037066,64.31291943143232,67.55174687032984,64.93052028455669,63.843054787386066,59.304937179424755,60.2856211680753,56.01047885161094,58.945111242782936,56.74835321841562,58.851114213559775,59.00871909070156,57.51421742013119,57.91612657907842,55.23739045135826,55.386530467501224,51.03871124626982,52.34641894338977,49.12054944860746,45.81343093096855,48.375636200067966,44.55192445442104,44.85806864693141,43.665690187138765,42.259753163291336,43.976532162283874,41.71625233037291,44.84589624186522,42.50176769064311,47.30145233141164,48.61258814894524,45.51541258483245,44.186820321720695,39.67401008340786,39.31536087580873,39.181464724770684,38.28433844781277,39.51572794058869,40.68462649879693,42.01584757656211,46.19335639367354,42.32907701409715,46.24027655187696,45.7020082999545,49.4621491104767,44.10836601100451,42.48903606137226,37.37021034488575,37.3736212890516,36.34004264643627,40.13500571919797,38.85946184562701,42.69328419939144,45.25773055922073,44.352656355550515,47.83373450608546,49.208617212911285,46.2792261898415,47.7872812984569,47.849057939220316,47.1261368325676,48.739983383425596,50.08866025729182,54.25900023737937,54.86674305276673,56.139722726193476,55.915809649853266,53.419032506528595,52.917074041338914,52.96017712887097,50.59278290662061,47.81901894451245,50.9800305110361,46.30303329917895,50.83067528303636,47.688322798395326,42.880628048910765,43.55214960179742,41.57549501160057,39.01387612697596,37.960519349440396,40.350691429908814,41.662122052883305,46.667876335419024,49.991433497826314,52.81829240911592,55.27790612430027,55.378416172498056,60.18881274865479,57.697855830435586,58.01938793290677,54.143339367058516,51.610362343849346,52.79148285254056,53.14294403132836,50.5913412380092,53.81557187560606,53.74802386490133,55.18755620172219,50.07618872751128,51.3903982397947,49.78815785559694,49.75261466083824,47.35322914868311,45.69279840041945,45.9237903533265,44.726141598951294,41.546927956118836,43.46877480852841,40.84289607133655,43.32529405747623,44.08624852134632,45.79521525052488,42.615488809346374,39.806497149879405,43.10816142890221,41.892982429641506,35.868963693309354,38.46208915064699,43.1627510149102,38.25657764578208,36.1297037194604,39.11991642034088,39.86207622526497,35.16395829981639,35.03623287575133,33.26487535176427,38.04895306951136,33.05554835881706,36.66097633879269,40.09815103475682,42.53200356124491,46.181896165229325,47.08108291683905,50.858585374778926,49.84262206285833,53.0836211297373,52.52315782134111,54.49022188617556,51.42261152292524,46.966495497573064,50.401781714978014,50.553909903398846,45.785644100879075,45.502427619650675,47.96846984424119,44.579435598819295,40.88060629551907,42.491427049532874,41.59219038865046,47.26045489429088,49.62191186983557,49.8734347675315,53.793217768944565,56.69307195653198,55.9914133942319,51.153163961574336,52.64934058276157,55.19331478236357,51.29760053533009,48.34439680187762,51.25232493727175,50.5725811913889,46.30872498338675,48.93078960790802,50.427612703800776,46.8042156021704,45.34731201326819,48.17046317447728,45.98977902453343,48.9381779381331,48.865330622118584,50.33560157242427,47.38749076227239,43.22709886646557,45.94377606076121,44.568532264626874,41.34648105894599,40.67384063818952,43.81663750691986,40.01411466073365,36.36156268954392,38.81041802894005,40.51494061188953,36.49220505201665,33.61605465436307,30.692322950760712,29.209661949659708,25.60698302659166,28.68189499348092,27.140481155085393,31.36193275077069,31.501625441766468,26.742511408907998,27.92069425482815,27.051257635350602,29.846780935030537,34.16987404755896,35.06370609600053,39.040262574517484,38.103100472209334,38.78968206778533,44.451279859621245,46.05284444472662,48.20915807880225,43.19320730126922,42.303178962968765,46.08363469094899,44.67138207352604,40.00091403574576,42.3744558427575,45.79388244222549,47.32712680312955,48.695069878863755,49.23707878800556],[33.32127445594355,31.539921585229504,31.469462907176908,28.736181490246977,31.04204573162624,35.4652650740868,37.116429290116784,41.654174304863574,41.92747119480259,42.13227490215412,45.415827107993586,48.526802013234516,46.29769237223235,44.40069437641827,49.56670288331047,50.47727854895457,46.9605546027781,50.317731623555595,49.8795568233039,51.913814042318364,53.65649002826466,56.15260931125908,55.55729127600628,52.97575410582631,50.62972239730841,48.520690786038806,47.57222618041612,46.12200297040231,49.285110703775274,50.70365262873487,55.266288033720876,55.096593950446916,59.35137501452288,61.95868238927479,58.653444742990644,55.567146463327205,54.702766390842996,52.503677165943806,50.192558155472234,54.04705406626605,49.30532965927185,52.14455412376295,55.52037083547123,52.70106273375562,50.87525435175895,47.75055042636666,50.623150523375905,53.58352768618814,49.79529919744738,50.790770579807266,55.59486044234096,57.07498986553795,59.53397340907742,55.264813103213235,58.89980092796919,62.95433172522397,60.21614886081675,59.093610599799185,63.95353236685088,64.59514767705984,62.08997433083782,64.96802278865933,64.71383364060135,65.12167964203218,61.67368290199659,59.26132273930812,57.03895035024703,55.77949385188157,52.90833131931235,52.80386241584661,51.064827323766764,53.420153062861495,56.118825675493945,57.8945318635906,58.45124712194645,64.40748328687833,62.1288143827114,65.93194920393415,63.85113062747896,63.28997571867684,61.48499251661556,60.661212602815695,59.510681081956264,56.66167218340283,52.8765726209742,54.042927279615135,56.11524740287065,58.76245726871678,58.45755011435361,63.341371950091265,61.29021689258633,64.74003068263524,62.13976183736817,60.962351006164866,56.424608109767746,57.615761993591796,53.339237392549826,55.903289715915705,53.59322471075996,55.5516062309284,55.52756587746763,53.763730784813276,54.10824016467015,51.20650076914439,51.114373667909085,46.77751100311123,47.909543720510165,44.583569032593296,41.35475753599267,44.07241739393372,40.40845248385409,40.82741140730324,39.94892521353863,38.570145499630094,40.65795174983475,38.44908900441063,41.73493891697714,39.50015797909959,44.611728895783706,45.807005148064874,42.85722701831345,41.40626206853707,36.820117773236596,36.210609897925124,35.91183963684972,34.580727260467576,35.62489924835899,36.57709069277193,37.69561083209254,41.792487000352544,37.75757213962151,41.577106805020435,41.09393170265794,44.94341654440388,39.66965434318549,38.24751269649936,32.99629992408934,33.34221661451377,32.63148277014993,36.45982636044422,35.56305065114564,39.43710481409452,42.02636244284048,40.91722200478217,44.30103403550098,45.71649768021169,42.75628033587779,44.20033137279875,44.08033650440919,43.52968850532173,44.96248650285449,46.612158594262766,50.63005733305403,51.59334222739916,52.878504407085124,52.42837259412311,49.94247352138484,49.16585877580221,49.30529895154483,46.6172394431333,43.848082221206795,47.20804465590414,42.51928005231517,46.976667815589586,43.670913132131865,38.964772867454215,39.343245351690356,37.43877716894425,34.685957708070845,33.7933205249765,36.06724499301447,37.58930255530288,42.52893693255236,45.86223961933653,48.77599262577268,51.20188235052245,51.551568704779875,56.19344621770047,53.6731461951901,53.8346878716368,49.93623260140727,47.31785095776721,48.351114061330705,48.67911924211401,46.24037272132244,49.672934396880635,49.82828407817765,51.21616868807414,46.27247236871268,47.356475182399805,45.63127019491896,45.48066326555806,42.91405314152653,41.149008339759064,41.267295616557924,39.96734282730416,36.814038930056235,38.68975355162911,36.092933646257066,38.69880408264135,39.445775897669236,41.30654046634323,38.17745913581372,35.29317776926371,38.69734600845361,37.67164370880355,31.602029901077902,34.214758737143924,39.10877831272817,34.38810733458329,32.27238311131568,35.39745656379909,36.33080830289014,31.733250388375875,31.639241475955167,29.581695454356915,34.4940879108249,29.092533035790975,32.55446233250272,36.14305797455444,38.412268057590005,42.28601270917902,42.915088771886175,46.59151903870054,45.40748475213738,48.556268212821365,47.922953502288166,49.81162495388635,46.81396775528878,42.30050107954101,45.657915307081325,45.803417848889794,41.04283009266614,40.70443676244083,43.12639908882381,39.778875899644504,36.07949940074624,37.642172371218145,36.81216414904941,42.50633329534046,44.86264845089373,45.23006320923632,49.180579779877384,52.17967729747694,51.5067637857958,46.637294841107014,48.27675773961404,50.91390090657145,47.02951080481963,44.1031832470006,47.20060517182923,46.65636960928226,42.37399003629544,44.985837016840684,46.6883080946138,43.23360783808613,41.654219126799546,44.446833024240874,42.0831541509849,44.846392685724076,44.58564429067602,45.97853570170884,43.22365261833484,38.975632893598906,41.48104923037185,40.19550539508262,37.037327205683745,36.12756783287663,39.2638165101126,35.625967144034476,31.85265585129642,34.118745206340364,35.95355382964444,32.05680292263203,29.071193661095535,26.170273953253986,24.805981989631377,21.250470828210393,24.651466273366207,23.021881607386867,27.169487820155577,27.573601580237806,22.72757053469575,23.572639358516835,22.470795129393643,25.169186986123705,29.552790541851135,30.59509865169717,34.48664653687228,33.80253559695007,34.637254481913665,40.26567759579022,41.91609386206229,44.22671636256849,39.259497969324926,38.44841628578689,42.392167036241055,41.08218077113136,36.524957590881286,38.91898160504521,42.5268264530945,44.07298229302839,45.44202146133943,46.022658775189335],[29.969366909911702,28.357345860806856,28.66914666067172,25.683724577323098,28.544904523401936,32.45634139139285,34.21230114468621,38.754914409569544,38.77898993415455,39.13353209484486,42.31293575290087,45.44358068803067,43.51688340601941,41.45877860882678,46.66925631867972,47.75308481944586,44.428066644675795,47.911304885411674,47.70961610918029,49.93830106694596,51.85156640334117,54.594501193313754,54.069625596008336,51.66260638054031,49.2137459240377,46.81088683323074,45.82993576562522,44.083811331316916,47.052603154117655,48.315826962216164,52.6513702641546,52.521529300983474,56.67335242786272,59.43671340104332,56.292784958279626,53.32039511732967,52.5031688125694,50.60979689782054,48.51703710323098,52.72899260099008,48.00386990877792,50.613531414712206,54.19961317765808,51.613702483224166,49.9750226579422,47.05080883461817,50.15110866246594,52.85616461750885,49.00121858758537,50.4534797519537,55.15092576787172,56.60097823585824,58.87992962050791,54.31879107597532,57.9538767524241,61.98754701014845,59.18367749617359,57.79556061839147,62.634264404933695,63.48029888218786,60.69895118723044,63.32052432576026,62.83127979642328,63.369350145845125,60.05528620419511,57.4725409830828,55.033304149715995,53.54795145027258,50.56602212715504,50.18998681794914,48.45617404373732,50.739655977531434,53.474462440322675,55.5153226240654,56.005446745965074,62.061147046104935,59.99813446879843,63.711674849572695,61.807738582396084,61.502168635258265,59.68288946712097,59.11854144143968,57.878161298034726,55.23624761956291,51.458864887799486,52.297188542164726,54.34564201665506,56.772535349923196,56.40233025487667,61.064427874368285,58.88843873820569,62.218946809301286,59.467347250898236,58.187001745350194,53.5916580356801,54.59830388743597,50.27942713965302,52.9933015415381,50.66031098722621,52.577000404473104,52.86803383337966,51.22028657655123,51.81623325696657,49.03254027074074,49.39638378158777,44.93188373226195,46.27276863647765,43.17669984077115,39.711356522694466,42.15352099523237,38.24048701193637,38.689971528344785,37.43266171026607,36.25873899388456,38.13599985399649,36.11746859907634,39.47797957340193,37.47391849817417,42.53489088660514,43.43870397084717,40.362472357618465,38.7490325389725,34.29052835042276,33.59779599061956,33.15832718683515,32.28392227988989,33.19791368637813,34.56357721639317,35.93961118294732,40.27550888443568,36.57871504201996,40.61226010413383,40.316849874683065,43.84170183262875,38.601592486677866,36.78679311456864,31.676538794984957,31.774929928097592,30.860949079096336,34.78027969032251,34.077138502301935,38.20822308266085,40.44073069601537,39.208811371363694,42.6829346877635,43.74548397730718,40.714865163727865,41.937142029578766,41.81114187377012,40.931524325513806,42.40017856949127,43.7149811839176,47.82531575287194,48.44841675434328,49.783588362879726,49.572303922152464,47.17424580419846,46.627741985184166,46.85080679350075,44.47845615234591,41.99191425326633,45.33156841800207,40.92794108295883,45.52283754806125,42.62008246625443,38.06554028547793,38.719925602455156,37.197221210554865,34.35809531041798,33.031637278114125,35.18624000444082,36.339149537980795,41.2866155772709,44.45648472802501,47.15571646121413,49.418586720995336,49.4909663549414,54.30070237062335,52.04082503568,52.31997615360502,48.70553907363413,45.84081039988804,47.35403443651079,47.974957506001594,45.43141624385718,48.84740685721976,48.781568333072755,50.59000258516921,45.739276831948445,47.05101110972895,45.561341131634535,45.1300235925761,42.714343734958995,40.81830669052121,40.94611656810235,39.76111583560856,36.227652888605206,38.03333155399109,35.23200278808587,37.410495703398524,38.27466189300208,39.71558637464048,36.44789167131929,33.83309929758328,37.13383172387329,35.66210871075184,29.682765746245533,32.49535265314077,37.08121020135866,31.99661658099396,30.045348683782258,33.182798319345125,33.70426906885575,29.00590428621671,29.240366459612773,27.481908154563826,32.542861805863154,27.862642822731495,31.18759925512962,34.76479843442394,37.53688835089028,41.214582771128605,42.32813685712897,45.839485899310894,44.62983775208992,47.80751574602077,46.98263897513722,49.25966559523587,46.39483985051205,41.63037893540647,45.085973102018116,45.69457854955487,40.890423494199574,40.35036852797858,43.03169816642665,40.051780356880435,36.08488831186404,37.44742852452266,36.1733951475634,41.64015867401036,44.06751269695267,44.14229782206372,47.92638452416013,50.7923855905646,49.90560078069553,45.11933697585535,46.63863235428619,49.01214200232672,45.0311556205235,42.180325766401126,45.06112544273103,44.28495861832232,40.064641700996404,42.88973951730273,44.33508157763248,40.62941870052035,39.379322593280975,42.36483047298422,40.224856383043615,43.195797794608765,43.00306872437541,44.74347950390126,41.915699617655946,37.485686550756526,40.37066389648373,39.31504207608146,35.990102652602154,35.20535426996002,38.828694739837665,35.26349768511532,31.204157938867112,33.79361254371445,36.02904788365043,32.168495334008455,28.940098928781158,25.512860655263044,24.867695748329393,20.80688491956855,23.755548311535236,21.467215042509824,25.47397315907178,25.24854876390623,20.543314730792574,21.870513676970443,21.4295273024392,24.194112613842723,28.418975419477395,28.94800732649323,33.028256894194534,31.88727778582789,32.4137115828311,38.0833786003108,39.69056464109328,41.764060967734004,36.73325743679798,35.87267682748445,39.63682299357658,38.181203879820174,33.52812781999007,35.99019640259914,39.44197742037041,41.0025808280151,42.42531420235039,43.03368412894065],[31.1600225898083,30.024835122427927,30.98811600574247,28.22263630587407,31.718413134188236,35.07750885302069,37.11030903032585,41.594514877386956,41.410620564981336,42.018896026454875,45.04607255608904,48.166690029376866,46.63128537322636,44.39001812114649,49.61863666004752,50.90268088926415,47.76817253347144,51.31171237457633,51.21097974694248,53.639004155127786,55.58958622484708,58.496139262411695,57.92355245828492,55.579371806463655,53.167046878246666,50.61005167292145,49.70404691240965,47.80003039789948,50.6377495319811,51.788338454060934,55.87384615615618,55.80707308266117,59.8421240725582,62.74631267855152,59.76100068694052,56.88018504364829,56.1161466752868,54.43762342442609,52.48619722069222,56.879658693907224,52.14907232800378,54.601992220551175,58.277461118889995,55.794341902124366,54.16975491728011,51.34145808939703,54.46818596495157,57.143235401056884,53.328961305649436,54.89262652639049,59.565497649208396,61.03023342956285,63.240858740098766,58.61002904597052,62.25096484837035,66.26153072043294,63.40705769859239,61.92910969779476,66.75865828499768,67.66009697525972,64.72494559011187,67.20252790966748,66.57832903981424,67.1192070662768,63.90548426181552,61.27481314204662,58.613924374203755,57.02106008664232,53.87117603848104,53.298157235322066,51.49536086641621,53.59513880967609,56.47026330954487,58.72957338740855,59.282361902245796,65.399708105665,63.56652133592579,67.23263443138688,65.48793739884805,65.36276348905692,63.55915266776164,63.150750487829384,61.85260326939414,59.317301107859684,55.56416957891444,56.221430290160725,58.246241825612124,60.52885643660367,60.090288346667634,64.5800817884058,62.27514799816187,65.45616949038626,62.58147784538915,61.227949736271775,56.58946958836006,57.36147303840562,53.0101683376077,55.91609518806668,53.54959914587748,55.33262606831803,56.0252062227722,54.39016535394431,55.285306614469505,52.499475818979036,53.16522447347545,48.5835607785467,49.906587703044735,46.91366195005469,43.27166136459248,45.61062103103951,41.58836658827819,42.2507674533959,40.7451917306055,39.828434395746946,41.54196891219286,39.69043623974987,43.05808165434415,41.175732640713804,46.08306873811899,46.845190947602774,43.64602222906152,41.95574859961145,37.6466225650771,36.94174789510242,36.368296228639814,35.89292082788899,36.5171529543546,38.22855923261784,39.6565201927229,44.13517721327506,40.523834343504234,44.561383616814275,44.47962700074571,47.89895858169297,42.76420219426679,40.83508795358722,35.759569388985334,35.85712708581922,34.8624539130732,38.806316673656134,38.130984176392474,42.335069695278676,44.414553507007895,43.17342494733317,46.69530177620032,47.55121605038461,44.489075817078216,45.536343182329155,45.364515787006496,44.180135079378395,45.5528007982031,46.52201210164529,50.60276196705072,50.773163539309444,52.316219968212316,52.423356302962404,50.20384066914865,49.827151639299984,50.221683366990725,48.053560286865064,45.843145598019184,49.194099205244825,44.97808244272794,49.62796809805806,46.90272396455597,42.41644534183105,43.13607090936261,41.70173349754778,38.82905222891608,37.43096143978788,39.516830666959855,40.55610461381847,45.476790752566544,48.55332031975415,51.135471284870434,53.26080993710468,53.18748909195991,58.07270638071826,56.00389300055558,56.306510918709144,52.863508571071925,49.81531731695305,51.52918984856133,52.264692130560356,49.73833876084944,53.18929735818646,53.056623285520615,54.997062110589106,50.16590879170439,51.53682304052606,50.080139542035276,49.5899604067124,47.16200394414599,45.191472246110216,45.23173982998646,43.939929640981426,40.31056066357785,41.912719490153705,38.88851304567647,40.94225820509833,41.51471326049262,42.8124636998439,39.65302448052511,36.90124259713762,39.89383936224838,38.34200690057653,32.4777479249716,34.969615847688004,39.27756217002856,34.16453606682501,32.03500043788481,34.84699864248171,35.33073304667708,30.58125940352209,30.472855282586863,29.06669214212393,33.77525393731791,29.598471359887462,33.187614435925376,36.45809919824346,39.40024523741639,42.713957647409195,44.22474151074194,47.9118665809224,47.04312974514709,50.40972745775174,49.8353168811113,52.213940158568626,49.15574535785514,44.61076238023584,48.278860472802926,48.846012214870726,44.03316421473932,43.72625825534142,46.59396404172565,43.46495927168624,39.46384981521435,41.243024115007294,39.648272696353835,45.22122001998605,47.4954163437881,47.249194004429306,51.047477051703126,53.63497903283595,52.909036190248095,48.171826344606494,49.27671827238155,51.63025986030722,47.79879037010273,44.743850360040184,47.304096996924734,46.45051358127124,42.228515805450506,44.85018691717417,46.0613125360291,42.26566664335289,40.979427087926496,43.881323533991775,41.97423621057155,45.18605359892059,45.36997059856784,47.109687814321354,43.92300023987051,39.77672794187443,42.96339140542437,41.64744246297979,38.2519815188899,37.97886704935929,41.49063633428269,37.59855976265707,33.847983482804736,36.83160974788511,38.74523977344075,34.64090056827342,31.64477112483819,28.257837680188157,27.330794677896527,23.246274670467333,25.598447412671444,23.725204411129866,27.899646750427696,27.601985213521008,23.08862993434256,24.851782106153752,24.592110732129438,27.655944665032813,31.6391456270574,32.34372862765103,36.5671222490371,35.398769642193244,35.44742791317795,41.10407810641446,42.43853363840827,44.512228840962344,39.55319987669151,38.303033551815716,41.871599367577986,40.65980878510998,35.72623102147635,37.86343846460697,41.12133813561465,42.6578050207515,44.03705274335218,44.59606905286182],[32.17076330831796,30.733099875475247,31.101885633611907,29.155392478772015,31.94792241325454,36.10189262745015,38.296582688320804,42.71055337636155,43.20829058765615,43.97873110619084,47.269894207859394,50.11476402538418,48.3737067938776,46.67121237196076,51.89166442944739,52.82303580819884,49.626227681436276,53.27840894141707,53.289070888263815,55.263130086328474,57.29734999038506,59.85487537734027,59.495236641810386,57.0348744275916,54.49322226953045,52.25354364679254,51.02649834507325,49.28961774753203,52.1709564072151,53.20761340755048,57.87296195557091,57.325276575447546,61.52924110808176,64.44309922646508,61.18852499724374,58.362182069536445,57.196962435693344,55.475704918973534,53.28952636214391,57.17356225729772,52.720909239196004,55.654683519183266,59.13117888933359,56.43298401061109,54.86977485787965,51.728755264276415,54.747516456353594,57.49696718071527,53.447570435258136,54.58320773568467,59.32296907853999,60.62812727602288,63.13726433957553,58.68792315643695,62.108240627071126,66.36153046991075,63.82449823869092,62.45289090252245,67.2465326400682,68.20645389877126,65.71363644035111,68.45679481433503,68.03610519545342,68.7601361139953,65.3584807839068,62.70865366306926,60.58932928232953,59.03501548863405,56.28182037516282,55.850484047547596,54.269445996915316,56.68276524163792,59.26132075090302,61.30196071447328,61.558081797101345,67.59699418407969,65.3290494851775,68.93877778018593,66.85961010985187,66.39660879443764,64.32586902649422,63.580285928101894,62.064732105381516,59.25549599246431,55.67492422080146,56.72553666048908,59.10156218549279,61.412247277513806,61.44385653933174,66.07866816859617,64.1372713408938,67.62944908314961,64.83393341403304,63.38975679858641,58.763007394884326,59.84048764666293,55.49135093164849,57.860038541781734,55.30544719996841,56.79367103443211,57.243599243704395,55.07010903580467,55.897532890162196,52.62159845031829,52.72198599729989,48.15760162068072,48.95761237851811,45.6581871749493,42.195324271442175,44.98420692748703,41.35103911265424,42.38215011189608,41.51950907886869,40.67110643337311,43.03148592753814,41.20260671496313,44.74968224077249,42.89246448689995,48.185427784087004,48.96286821777091,45.9924726591003,44.216983800563106,39.77042232270605,38.76328474696097,37.958343864623394,36.71083111713688,36.89547426784104,38.18882071540448,39.06956091822985,43.33651646291508,39.17850063947056,42.856405121980714,42.899955189941316,46.69301633553901,41.75432750934796,40.41660614968841,35.00859563502685,35.89293388350071,35.515096235811434,39.46096648044498,39.17973827294642,43.25634393851502,45.59879477883255,44.17215712325976,47.508212557052175,48.600853694066515,45.52569861027319,46.545763081166115,46.05489394692937,45.18855312969028,46.152636363498154,47.6304469079523,51.36219548457685,52.03589399166479,53.74742604991692,53.540813955726286,51.404220199461854,50.51008724003354,51.131293541142114,48.31468880885374,46.07712311915061,49.7783850429272,45.41770049262803,49.88017468812624,46.66144931479618,42.239322797678184,42.29699592849914,40.682925425220155,37.579820481576895,36.784657574221356,38.7357188946558,40.35879043833469,45.150353838688424,48.32251520407325,51.15357051107666,53.26845599470549,53.73647597088639,58.26502955475921,56.053591502278664,56.006308494726866,52.394535950221446,49.28236516120109,50.46259480260515,50.97048353008078,48.75143144764003,52.57593884453315,52.94914915664042,54.49288275690203,49.83929874784622,50.681329303879394,48.83327551561005,48.39537953653087,45.55157329491489,43.47877645896986,43.234089951122336,41.541218451522774,38.24400358924878,39.61011471433721,36.589582109895524,39.16939707291395,39.2666745367813,41.124810829036235,38.29945584035799,34.95899235221237,37.91358348278577,37.07704979969176,31.10707624534468,33.08234068495918,37.79626562353796,33.335313433116326,30.825690725383456,33.529982448038126,34.78247354476848,30.22613003023691,29.4284156767679,27.53684895649004,31.95466245735186,26.744948640959834,30.58555163885071,33.80632601002272,36.08973531624081,39.61781641670411,40.56744104842532,44.497426257512565,43.76801511337267,47.1777445689774,46.98678626846403,48.91435629877143,45.58814438803215,41.47791954547127,45.16229615164563,45.14962289458197,40.38578859654919,40.48546118475251,43.21627967953232,39.57731614116919,35.8275514850672,38.24338833532147,36.855290895602764,42.85284714640636,44.872259359486065,44.77640884300184,48.842523975747746,51.443164323334834,51.183806231952794,46.33390121446565,47.361380165594284,50.16425692889734,46.60109045085454,43.267272470025645,46.05847208839455,45.60995926465181,41.25637893353475,43.41092716506513,45.02093127224835,41.682837592249975,39.759486594887704,42.30870966643098,40.07268290028272,43.01468224237816,43.22651872010415,44.44172762901876,41.239328705899034,37.4534635523639,40.21245846517132,38.47445001396782,35.27773393301355,35.05872845876716,37.896830277969585,33.78667365503455,30.508081558885817,33.3170897827075,34.61280449717335,30.37154063740443,27.737099587953615,24.989539794890465,23.134311869652194,19.613247379154913,22.327678657720135,21.492987448961948,25.945588323921946,26.710673394815533,22.023938071740876,23.21874150366855,22.09370628086052,25.31173048314609,29.30689592509919,31.00261271578047,35.078795531323294,34.76608121845019,34.88277611595382,40.473776667784314,41.65999857629944,44.26555535723368,39.491971362736706,38.0163229977291,41.883826680363846,41.2370350929985,36.27498423881525,38.06172640619836,41.62662482819639,43.160592453481016,44.44440692553367,44.9830591229412],[29.089607241352223,27.33501343109516,27.290900785794413,25.384116340047058,27.830694637753766,32.270123251119976,34.411742752031905,38.80345604945374,39.52759187053886,40.306519581022854,43.69910754692939,46.43393009480656,44.59096398300258,43.12280159051326,48.31951019234612,49.100524679556685,45.921824477566446,49.64895376310921,49.8209191896809,51.61226907255355,53.77426745410804,56.260143900279644,56.07417998324344,53.67346726222997,50.99124618716875,48.77184894954579,47.344350222698694,45.56628394248247,48.382479506526415,49.32186220505257,54.18606063813429,53.43949774176779,57.6907758140025,60.61835792707299,57.288480937677356,54.52220350755732,53.20358871353574,51.5629916682304,49.366907355167456,53.18159231115525,48.87830711216888,51.92040897358689,55.40393058116254,52.74262043415384,51.3488030234333,48.18712793631769,51.30991876378246,53.89711252082925,49.68833618447912,50.928718060928965,55.612692318372076,56.81273294404212,59.33860223688245,54.79527914745657,58.114142449454874,62.44671974188542,60.02380515164718,58.554700706789504,63.30776557934431,64.40976462336243,61.99066557102247,64.72596953690937,64.29628660381802,65.1873676639294,61.76277180779786,59.017971733168515,57.106997650515325,55.4738051577225,52.92400787636054,52.47468486993217,51.043385543630684,53.63087175253928,56.00930432055058,58.009168610756724,58.05385218795403,64.0652706104307,61.64971350056193,65.18597226227484,63.013686416041665,62.49449955203754,60.303285762764396,59.52453197031529,57.896960499710055,55.086378440239606,51.56915165487141,52.64258849848502,55.14577850067031,57.38605812381916,57.59887984840638,62.21814229544244,60.41767365838963,64.02447365502941,61.239758474394655,59.73857528063739,55.12507778966282,56.33272238725668,51.99969398089865,54.12931144742736,51.52046690911225,52.94841538032341,53.26450094104358,50.97190405634267,51.75349759042868,48.39085942052668,48.40926364024671,43.84768478721305,44.616515825370044,41.30506788652687,37.861266518033716,40.68402337284571,37.10667162140641,38.162230427955606,37.45348359837121,36.62912793711018,39.19365597004712,37.43169394003332,41.07266023598979,39.34446376440119,44.809204549874075,45.45490360930558,42.592536095873925,40.72396015082282,36.27432002514109,35.089611102711395,34.16766530720182,32.68135959198671,32.75832651538663,33.946308859364564,34.74896300516412,38.99914704730601,34.82723145914766,38.519903073708264,38.607959286452825,42.36672329861455,37.471204151243846,36.16376465320764,30.722886691488938,31.771363602261278,31.579347868222396,35.53508357531188,35.567468903441124,39.697172095176825,41.955078608671656,40.37151174400355,43.64112546816194,44.6904151514952,41.598892234038736,42.54581280115927,41.950210918515715,41.174750415190736,42.05917833417662,43.714246769531506,47.38173912078221,48.30256543164231,49.9660930046378,49.60045591400206,47.450597649149465,46.41548726355867,47.070454799454964,44.10880339463321,41.89954480457485,45.70213017892634,41.401182838334464,45.82841548839252,42.61244372939356,38.31624726638607,38.25926892354257,36.818662187388746,33.5794864533325,32.76279255728346,34.594163911879896,36.252645829337965,40.98704782253528,44.12190019012645,46.95727541353582,49.02918987636187,49.596626817812314,54.043855203322174,51.853786621972745,51.745505886784244,48.176506302229264,44.98601887375549,46.18332708391809,46.74812090504361,44.56181108292677,48.487812586743054,48.937987865310525,50.55650951512279,46.050616520702896,46.81351337205476,44.976096651253584,44.380189049290756,41.49759137211363,39.33425916570384,39.04483063968583,37.35957183006272,33.9604098892094,35.32834362427886,32.30970817437106,34.857107846575055,35.08192513313677,36.93419084744214,34.05146623364102,30.791764594342936,33.890032617217294,33.03847393149682,27.01526531918122,29.18850950034958,34.03164818819019,29.559011494235186,27.16949820767285,30.09470101754202,31.3362432464732,26.827666490187635,26.294241638358127,24.177938278297027,28.898684902925943,23.475085934025245,27.085162357692834,30.54157525394176,32.87238434796808,36.6338394668157,37.45547501633133,41.187608018107625,40.19882693514166,43.497124861771724,43.08287503677837,45.08668280649479,41.92459420918762,37.576846339911405,41.18325984407232,41.371800338712205,36.583184341844756,36.47879215369929,39.22911473396857,35.809661030596615,31.94408536445535,34.115495769318805,32.69754411379666,38.60599782798787,40.7067191874916,40.68443721124031,44.70920209251601,47.42850079641612,47.042168471063555,42.17954910045847,43.40317273449226,46.17546139726347,42.52314846692104,39.301975980321295,42.25300872127163,41.827585520065675,37.480910298057644,39.79133630278526,41.521506532620194,38.22085336292649,36.36010262736341,39.00382551988596,36.645023124869375,39.467656702529965,39.441830654673645,40.75140157405767,37.77381381954911,33.731690858475616,36.402845125262,34.911254361855185,31.698959936701435,31.17830025483947,34.27282428103031,30.40953078214492,26.783643845017156,29.477692674933476,31.158008374763998,27.092682571384902,24.158960764912404,21.16247108307751,19.79060669179458,16.036534499707496,19.06403735952325,17.736381871238564,22.071163765817786,22.839216082691394,18.062092118803527,19.04861499517092,17.915201972659542,21.041619109410327,25.114481951422285,26.69669599974864,30.746718375643432,30.46526096977958,30.70831407328295,36.29202778762931,37.58045194805344,40.20259371915364,35.42141688964548,34.10106916030049,38.07560639837071,37.368945571080154,32.54363020159418,34.467768782937945,38.16094265080698,39.71960473715877,41.03927762569176,41.640471551981946],[25.277855832205436,24.123056316991097,25.157201067765897,22.981306801622072,26.70857588324287,29.955186513053896,32.40725455294341,36.754815254125155,36.94928462683135,38.08074988787956,41.20597898513162,43.97138986731745,42.79598506051048,40.96667690573599,46.212606795727396,47.36837975378783,44.572397954032574,48.46888145786175,48.98531526500014,51.17709574760437,53.55069497584734,56.46454567250938,56.31005024055329,54.175770453605786,51.42145294524172,48.730306499178106,47.35512187090436,45.10855610067608,47.58388044021097,48.266953330052615,52.6134570289901,52.0062718586091,56.025406643215824,59.22802683218967,56.23586797723247,53.670778075386465,52.49522859623113,51.37581891793046,49.57357207203937,53.98329514816434,49.675340652723754,52.266209055479926,56.06471936878499,53.783988338016286,52.61437319639634,49.80599974187069,53.206122546201875,55.45982630912757,51.25736907645813,53.155918039279825,57.67152780990081,58.87710732079437,61.08983037146563,56.15211612136583,59.49632879583025,63.7415234188685,61.17047635972803,59.32058025101087,64.0327102388011,65.39875927955366,62.50009285850767,64.79738599836101,63.97821654222811,65.00489527433297,61.834113176237345,58.865242345716354,56.50173017406493,54.528156257930604,51.71166141387661,50.7915347255034,49.314641269881236,51.666545286627226,54.18706624350425,56.66313307697525,56.68872949636008,62.853013562419626,60.89295929379808,64.28668384316255,62.4725153517711,62.41811267623983,60.26425942609996,59.94487483779364,58.21320829189862,55.75913523385244,52.25999798194193,52.76203213392888,55.163698046214044,57.035693169453566,57.066671543396744,61.277200873906,59.2081977694896,62.53509524882063,59.48535036202189,57.82111610154732,53.11775979610847,53.91593380859045,49.518711091968626,51.99912183352526,49.362534544139635,50.67622199626282,51.67661567928996,49.609540515420264,50.90413811802086,47.76858808884637,48.63160849285357,43.86033021453874,44.95999820057034,42.07837690943525,38.223466662458534,40.53391787755164,36.527664670131564,37.70011765747134,36.26386183885296,35.869093306457884,37.97159244131155,36.569773156993406,40.26434142269828,38.908673061334646,44.1410534340883,44.33270430700846,41.23267017359618,39.1269121345489,34.979980444153966,33.71177885875081,32.54189810976807,32.00279101217128,31.770787015894843,33.76877882461986,35.01283509073688,39.64983515559753,36.09228925132714,40.078716236785105,40.49615263446311,43.69370209802777,38.91097219255047,36.963525940498464,31.84165467908535,32.433249206254885,31.84862632657033,35.88845835798151,36.11330827959812,40.57313308225311,42.26491875723572,40.56437228730874,43.97455521655935,44.42873863863714,41.25156484987807,41.807705081566986,41.217810227484705,39.79116737901877,40.70206886354419,41.63259917130933,45.431217747923924,45.5576416307014,47.402576032838574,47.58535953939255,45.66044969483971,45.09323393242874,45.93430444720219,43.60007518577482,41.93663937657975,45.64747742146059,41.85896710739916,46.485386302351294,43.95815928798317,39.903827418533254,40.33154142387194,39.42607004524153,36.15817790224466,34.68775738445824,36.34382661921624,37.37155643281285,42.077972285614955,44.9202870941212,47.36557338125086,49.14354912123714,49.19718395130602,53.93154525089817,52.207392505339705,52.311168791485315,49.237479939348766,45.666444693321296,47.65314028847416,48.67324225406515,46.33003246273589,50.16209026957891,50.22174054120921,52.470914956944824,48.07637575363489,49.222850707927805,47.758595282361256,46.80496726273269,44.20036838271949,41.88868587040376,41.624640288954055,40.119847409995884,36.18942685987529,37.38112448769578,34.01587329501865,35.80873972072777,36.08856700130784,37.18430089022068,34.15596989109502,31.3039628841375,34.038500461404794,32.41825483889868,26.66815157393602,28.96688294936839,33.09713718352859,28.016222621321877,25.806022982697968,28.534195149728287,29.04918322059077,24.326648737329734,24.133237858553418,22.78459007054084,27.508546323091267,23.700358692411132,27.191790054435995,30.403465337658115,33.63030516278631,36.827053254884945,38.63271164366296,42.173950034443884,41.344136899360564,44.760604283273665,44.18461005831091,46.81073832681681,43.781899487007195,39.20849715220974,43.02708672760098,43.8829980215135,39.08195222282301,38.783177856845334,41.95254296780599,39.048960417260716,34.84778031029045,36.84720873061286,34.66741822317247,40.19567639149863,42.320683714806314,41.70350115380708,45.44512592119552,47.80386245339032,47.16250481720619,42.48359555934298,43.298574809839366,45.625910215033684,41.91220044886026,38.72108732590743,41.1292584357352,40.28272073579992,36.0473804638419,38.582852536655246,39.74933274289136,35.979738422805596,34.64584514141692,37.55353425420123,35.710867100433106,39.00236086416144,39.30124243399057,41.1548509969283,37.87944486509998,33.73926954850767,37.16340945564626,35.90695498136596,32.427153739972645,32.395513252957095,36.142705530103676,32.274981130196366,28.440278588613946,31.782355934156303,33.87315702254611,29.81712824576601,26.717035692847645,23.00338552685286,22.657200500551856,18.26156204050044,20.030236944785813,17.854659950093513,21.95505306628266,21.569191326245026,17.232950960131742,19.325196645183972,19.458494208421193,22.72946071906191,26.32625473139611,27.122645432962262,31.482145892327843,30.442426039494652,29.942363788382572,35.54543647800127,36.61478089021273,38.83630690416136,34.00605120165772,32.39153991401585,35.944817256222215,35.13665691399099,29.99599922254923,31.83252490904316,35.14756359800947,36.72476222257011,38.1053514011473,38.71807805039517],[25.46253082115589,23.652183896521052,23.784486459514994,20.89808923503229,23.771341456428406,27.71784356845017,29.616162875252318,34.11775417729589,34.366781652389136,34.96169060932327,38.23118684817432,41.16883027219008,39.383608304443904,37.590486077777506,42.81848161509613,43.80204595482542,40.66149258256303,44.37339630866051,44.580148321400195,46.65162022205083,48.860815264116496,51.62480830858797,51.39221166476649,49.15285659543715,46.44889648901596,43.92663490561183,42.6212761106225,40.63228439031409,43.371995243039805,44.35309539869828,48.86953281186412,48.412822541351424,52.57199850418725,55.50337376166865,52.34411565568545,49.555776172452475,48.49179544661827,46.94256322519941,44.95392530931753,49.228637755914114,44.76244517606356,47.439385341364606,51.13648482940773,48.71073536139601,47.40522057437434,44.52786828752055,47.85786744434582,50.229247129678555,46.10491811737455,47.86881184095891,52.440037854184915,53.72135479155116,55.9702614959215,51.15316287988056,54.60829339917311,58.77938519587686,56.14195326792853,54.48116617902528,59.24426505188498,60.40814886454192,57.618206545660684,60.10437128988255,59.4736115834955,60.33950303742391,57.05780542859222,54.23831771700073,51.99076150441893,50.24601576323286,47.49381918706707,46.89879877945071,45.38981378650202,47.869227934094596,50.34795470965083,52.5170578148333,52.64908740524083,58.7371456452224,56.58434099488391,60.127870312500775,58.180022104754,57.93093209341183,55.892360199732046,55.40555048987614,53.90416975795033,51.34170559984618,47.699589186993826,48.408946524102326,50.68166090459667,52.8524922434276,52.76160102073455,57.25561703703388,55.22575935016572,58.66090269492284,55.805813569314495,54.340676953168185,49.705612661284896,50.76174102461721,46.415634726313776,48.85545686975933,46.37316460017925,48.068285745737974,48.46974831748666,46.60960116399569,47.39274656571044,44.44826477119784,44.95728842658204,40.381135342429836,41.682479132576496,38.682748345578176,35.08220999835229,37.458231757066066,33.50528156648569,34.159469546649504,32.916300976014114,32.00256978407658,34.114788419038284,32.35997440375477,35.94541650650811,34.293677806125366,39.596345680562486,40.11010749257464,37.1035353630276,35.21490797256171,30.836389174671524,29.772831562726388,28.981997606393218,28.044950395036413,28.54204073813448,30.070947207289546,31.41431954632302,35.879130603231445,32.291337200681035,36.38552589134926,36.35255402858772,39.680078916568135,34.60222707833011,32.676307253326236,27.55893723702896,27.868881873628823,27.172202785758177,31.178264758960157,31.096554344502756,35.44481405119257,37.37110726842737,35.816646153219544,39.235100142720206,40.01937804192094,36.904634149242185,37.833184252059354,37.47818554509492,36.47577065220522,37.73885441792685,39.07133991760573,43.07526378556038,43.75965983052582,45.18507207451141,44.95909399653031,42.67685077907137,42.02688929716149,42.46011490768639,40.01020881650016,37.816420464134765,41.363084401392655,37.230735623725536,41.84061752122549,39.12147322795124,34.855189165247715,35.4028522875882,34.30486270317038,31.205084557914102,29.704114199003264,31.583078051236164,32.644596356735946,37.48552984711057,40.502533727966956,43.099115070232486,45.16331403805844,45.27290906519566,50.02845975687574,47.977508766840685,48.17403988784022,44.79868137569706,41.61423812585675,43.37630683508376,44.22128498745181,41.73803481893713,45.36171436087562,45.3602451113576,47.446361446896745,42.882648234542195,44.11877383988047,42.696257086715455,41.91302755137702,39.448068595034556,37.330019035866904,37.31896832242322,36.09684313323258,32.28050461253118,33.92276942379186,30.952514310711543,32.87913370599408,33.77257449164062,35.00931765509616,31.703240710512542,29.210724656036707,32.48730193428487,30.843813479059595,24.906138858503006,27.868274933970092,32.368978652923005,27.18652319905667,25.369649816537052,28.627393781940455,29.015645334927466,24.354066612241883,24.873041584027597,23.086989466932327,28.358677164075864,23.937215449465764,26.975077050096438,30.65117903544219,33.66202342796285,37.360857494480385,38.615067413834495,41.8868070484554,40.528928894901135,43.64751134808485,42.63098426024943,45.14021022595649,42.43497494538635,37.46404538581586,40.93350146606239,41.89294987959508,37.09191293894521,36.36795290454795,39.22708059552552,36.58624893280191,32.426240993674064,33.630986585504345,32.0120015348212,37.3126250125153,39.759034855578385,39.67103567047742,43.35277669738519,46.175176216564786,45.177441491949025,40.43127196804198,41.94647135956572,44.2128163434036,40.18927593468394,37.39555115246036,40.26615490322645,39.443704495614725,35.249630796654706,38.206776832602586,39.640811608814346,35.90967299277846,34.78699355632867,37.87855452305342,35.752929183363825,38.71396158727056,38.42214730754942,40.352960529328975,37.63621131107674,33.0117557769357,36.01077036151618,35.21020145628721,31.826023126353714,30.957954424336563,34.94618731873892,31.600110899198004,27.245810564684223,29.94282222954303,32.58196324219694,28.908997307528796,25.432676315478844,21.61698479823449,21.752185724364416,17.390837914721125,20.14212133666823,17.18882212244129,20.948675923412026,20.447020872087357,15.799851473661915,17.240638168699647,17.208880339537302,19.93197513031834,24.00937486667027,24.27936859101223,28.44610695207118,27.209560825455473,27.553107657189088,33.22259772527923,34.803523562723626,36.8691350541203,31.84550297397783,30.965492127494603,34.74605091116683,33.3349282355474,28.6778394569615,31.168789752389916,34.68507797922363,36.29274668471452,37.76865723281389,38.44856410880152],[25.674168799003475,24.418922962332314,25.453402096432697,21.64159563220395,25.464326766802188,28.11853950307645,29.798051775438093,34.29981513870227,33.60229881363637,34.006925480348094,36.871101151052635,40.15461563074982,38.710565268477175,36.183435387559356,41.39628050125397,42.86540276865962,39.85233825525452,43.400034389943386,43.465067438346296,46.135337633663426,48.21943530138605,51.41717239675814,50.90475617229363,48.829326886447454,46.320389159987805,43.40428631076575,42.54116449125308,40.346556567803724,42.992678975500255,44.10241594422609,47.81033209412638,47.981633883314316,51.88575116175302,54.80734685173018,52.02290179653808,49.193226264001595,48.65238049987739,47.188815942866405,45.52623785557289,50.39508006931082,45.629172266182316,47.66382324901691,51.578150784315866,49.43913973268419,48.054626415493075,45.59472942147464,48.999717611524346,51.27861351466653,47.502603898922985,49.73562044175229,54.18532827176676,55.64882692766676,57.531220451192944,52.55513764177477,56.24720714832769,60.086329291153625,57.08135389784895,55.312918745321824,60.08371045000876,61.15824089057954,57.84188451683373,59.983377301581285,59.09631022626923,59.724211046168655,56.696577009899194,53.919771116303494,50.97495905121637,49.1840126526835,45.90929883374286,45.11050456041151,43.30531881645667,45.34415536778725,48.22570496272866,50.69642413338046,51.22031977647451,57.396226493693774,55.82379334463676,59.420235600883665,57.914120917423105,58.099778484972354,56.40848959467676,56.34510230036173,55.11986226131151,52.91511859782794,49.110089217698096,49.318526285951926,51.128675863354594,53.23695741796782,52.55097278105772,56.82088999438024,54.32886588817969,57.34121110018938,54.381185062979995,53.0273393131856,48.389273956051575,49.017274368825426,44.67665621918695,47.82892303173988,45.59702245670581,47.635845261475694,48.400214577999556,47.22987916563096,48.131861855924356,45.822229535465794,47.04214607795798,42.505916682664335,44.39031828199457,41.815944673440676,38.0695973166794,39.84925473453388,35.50213303349097,35.71668277340606,33.64157778567414,32.68959466542173,33.877807812568726,32.13744699815606,35.42990746207066,33.77260378831919,38.486584853333774,38.964554585002354,35.65481377636207,33.88748878069488,29.759054528194632,29.134789313173492,28.66525289121742,28.866961742115453,29.89507681999436,31.962856134765936,33.95065610317022,38.56505216716812,35.71407279177145,40.093787021186515,39.939576269887496,42.77022395824986,37.5906123083865,35.00529960948495,30.46153916676209,29.772434784745442,28.274565418629027,32.17166002539001,31.55303997187653,35.98025678262634,37.537998748831455,36.25792829289376,39.868187183618076,40.325546708908504,37.2690655105451,38.20282199970504,38.26099164842052,36.8226064940966,38.57523174309053,39.18499230997471,43.57592515541712,43.54333483867033,44.77869518958394,45.00197646401196,42.66519667348155,42.70246821650492,42.868381717278126,41.29450437620922,39.20426615818155,42.253489753474604,38.38118010612911,43.15458164867923,41.09093261013782,36.820700154423506,38.15715036395331,37.262444930027605,34.534500013420526,32.38595070762001,34.38247152151428,34.70464215414937,39.59330508205041,42.434549482860604,44.67815785757026,46.71397599828058,46.14257080246474,51.291265391042884,49.45178956048288,50.06590100781818,46.94936379058785,43.88099395569091,46.24526772252489,47.33465555889401,44.54521771422755,47.670930076969086,47.063461906689554,49.581107844232065,44.85535987974289,46.697299533568184,45.73622229316214,44.92883499434021,42.98153931891592,41.0326475821788,41.330662380516344,40.549768207049695,36.49799086981901,38.31799136461647,35.401283184235325,36.69932999324313,38.0097551385787,38.59313466828212,35.03325196181932,33.22947427578906,36.370155385301366,33.983492354916244,28.41004861691285,31.72634643456866,35.58083004661297,29.82835892508409,28.462165678321504,31.62909220862665,31.137085456330137,26.399842576020525,27.587293593617748,26.504117256249305,31.764035535290116,28.643906878122795,31.432102263503275,34.94750016340532,38.54223172528498,41.85708573045376,43.719414382736595,46.78259616101162,45.41587373822338,48.4950699308935,47.190571052279466,50.11437879633199,47.649916123908405,42.41975426084751,45.8558224992111,47.31995260071009,42.55608121971731,41.53203977753404,44.48694051074829,42.31194703493089,38.02814021857098,38.703495021904814,36.884619435416205,41.650242239100265,44.274236393161274,43.971661179071106,47.31441614187841,50.01454790853789,48.57887134771551,44.04547880005658,45.522336984562195,47.2668370336032,43.04976304746544,40.57270735129204,43.05763107179717,41.78334993243677,37.8213081790912,41.17671431417569,42.09165589238482,37.89946495988379,37.49967464567865,40.88041246855929,39.204238634780396,42.446538698448876,42.233010732900674,44.65318641246135,41.9012368961306,37.107165672175384,40.53693463859343,40.07857937419285,36.56898011072232,35.82018710094319,40.28823988228485,37.10131036604777,32.56049004596203,35.433733513857995,38.43161357153929,34.865334047757756,31.281479942392668,27.11584458503349,27.831095922471164,23.263005065437603,25.39363924415603,21.871201521172026,25.173574389991064,23.52436624773018,19.475131983288783,21.54264661077199,22.420197294323277,24.88225769012401,28.67246380769613,27.91483370736645,32.09971860051924,29.909281153990296,30.066706778830046,35.641218353951906,37.30156399194194,38.695060312694835,33.573881077248004,32.91157502160965,36.201090413563875,34.16678301218909,29.602339645078665,32.402000371718465,35.40819094311233,36.97440923960806,38.51591470702987,39.18097715627916],[29.478277064558462,28.17942515179817,29.045645864217022,25.129359535248003,28.610597957075328,31.513761252679785,32.9492272351335,37.4929337126871,36.697918830791615,36.77409690787564,39.603650693115384,43.05226657174399,41.32201420905451,38.63709787994371,43.798548705596666,45.277127423409546,42.02863675453163,45.32761611370657,44.973344420106066,47.71751706865883,49.5105440982674,52.63700509399105,51.87113726005295,49.62772390608502,47.34593228636925,44.58861173984436,44.0032012046621,42.089602398246825,44.98826558859366,46.39898031231345,50.01983226205232,50.47503004933646,54.40716700401758,57.112944985278446,54.29250813409944,51.26306122723203,50.93612267563186,49.08194502665715,47.28086561753923,52.03879851302228,47.039587856348156,49.052610960490036,52.837488672253414,50.531043033757385,48.846544600196296,46.330890715149444,49.52903466469948,52.102834217371424,48.56269766123282,50.507270899475365,55.066311194627076,56.68298520224703,58.59431780794257,53.86123730886662,57.717937360887966,61.43238430822363,58.285681033474276,56.78698025266749,61.62650578804415,62.39629899121718,59.12476504642662,61.42597316729431,60.71018165164454,61.030988904125216,57.94983484112474,55.40943009844644,52.35757743303675,50.84833164912258,47.423521892371134,46.90453239831049,44.91772887224255,46.827600165937426,49.89250506196915,52.158542264362104,52.99870550975181,59.10853031183548,57.54948135249108,61.31615102361522,59.80307581544158,59.88150843519857,58.3918532961549,58.21376228777428,57.25063214882931,54.94368649880172,51.00522481582268,51.38513410633277,52.9927372110876,55.38254395306788,54.457034958443266,58.93490863873443,56.35232144789506,59.31031726612511,56.49835255501554,55.350830455853284,50.779853377617634,51.44754378624508,47.16309880987097,50.48828177881662,48.416827207096986,50.70858450418669,51.21196533778118,50.234975372281184,50.85084513115584,48.691894589103335,49.674027364808815,45.27604212979648,47.20816529803347,44.507619517097204,40.93205394003251,42.81608354722026,38.543871835225595,38.50052322905467,36.524766510652285,35.23815114055,36.28468508997329,34.24180008737858,37.31203952361862,35.28940414953613,39.81542191343487,40.70768580684424,37.39309125646814,35.92529442166279,31.685453822453432,31.412559457887163,31.3214162862047,31.390649177411586,32.890750634891624,34.666207186528176,36.65626528875211,41.11705837380135,38.13468095643663,42.481833714393424,42.02782187965987,45.06191173466259,39.691742451188894,37.23228340620584,32.66760013806588,31.803745491375178,30.15207353814391,33.95834242690478,32.77374234988318,36.97875606928919,38.85208753320733,37.87089620871565,41.511053584563946,42.291050759610705,39.328242449465776,40.59389664219632,40.87557784008477,39.6749836445527,41.64287401408946,42.382020653874854,46.86785032031601,46.968148935442315,48.032677150469375,48.13919846490308,45.63094977963857,45.6928700044487,45.60112787969805,44.018403647877506,41.56311132048519,44.418913970334245,40.2402399961564,44.98051022286858,42.70450638166345,38.16167652419412,39.58825830838702,38.317067124717525,35.824347105073414,33.8241548441816,36.078855071133226,36.50948815891462,41.50511838069368,44.513141431622685,46.885679719407236,49.14899712348102,48.591999218196726,53.76364534982655,51.67031349861676,52.35706153077385,48.971813981906536,46.248413294747735,48.338087570411844,49.20305605609861,46.34359099293107,49.26628564116335,48.60856724656547,50.8532984134308,45.8708390686413,47.77960644026122,46.77320484446831,46.278502667366034,44.39334847066218,42.656334350413495,43.11000011242695,42.40757134798862,38.59786788938833,40.63646018800006,37.92490788937091,39.48212168109485,40.88479533788173,41.69721677507641,38.11677501966482,36.24451882727753,39.5409835248882,37.332189094285546,31.64165953190388,34.966506604136825,39.03124730690674,33.372573029807995,31.93838922362797,35.14378717275406,34.811281180755095,30.067672052598972,31.110561200759125,29.87807527898661,35.1215520413332,31.55492468290626,34.49925542420091,38.07018910275462,41.42487785687451,44.87147612528582,46.48372331803914,49.68483250194935,48.30821409147302,51.376878931171554,50.12735868608154,52.839711767095004,50.31326023682887,45.144097964097654,48.50406449862447,49.7170051838355,44.93558518236525,43.9612508570102,46.72070165678338,44.33704141849687,40.1920468001107,40.830415508285995,39.392295273433206,44.2696543293068,46.94832933926773,46.897490062543575,50.32810166828161,53.17765881833314,51.76703056666776,47.17027254485509,48.81238430324241,50.659220673131614,46.413285102785714,43.95815709098933,46.584294549254544,45.382645652797734,41.390129731605604,44.71077121417557,45.73256654523598,41.60272110116959,41.0910379456683,44.41507522518196,42.62964750788277,45.79691057116652,45.522816068195525,47.793589299333625,45.074202285714655,40.31443602621027,43.55136878116973,42.98170572644617,39.52772161586477,38.65057317633538,42.89746207484559,39.6413604503292,35.18676705550335,37.85313682921356,40.67806236904698,37.03895747677059,33.53306604640971,29.606421218058685,29.85782184874191,25.46327466726796,27.986237386075533,24.790245336598257,28.28520555476197,26.937973870103633,22.68281843784204,24.47607918409471,24.943767445870563,27.36823725421902,31.412770879262812,30.81601752318291,34.90004456306905,32.81040205782524,33.31919433718261,38.913367155306915,40.704466202503895,42.11733508819594,36.963289250748396,36.46627545622347,39.83074429180828,37.6788739073578,33.242006783916544,36.12617484672121,39.166389385101766,40.701791643052225,42.21319728334727,42.836869622545045],[31.920011310993793,30.22298045448116,30.442730076821256,26.054533721733304,28.700149810831903,32.02256663886936,32.84911858869106,37.43007748823897,36.56432707989649,36.00975157963319,38.85707934356502,42.51212562521887,40.1784627376712,37.41181942604085,42.45793951813676,43.81973158445754,40.19879900614425,43.145013176651204,42.270356067694706,44.989985672222424,46.44680416476908,49.42741504727875,48.42584009945436,46.01633242448368,43.95019048120593,41.41312921017437,41.10750224363431,39.57813091023976,42.80644013280112,44.6348261228883,48.24265584170211,49.02584225277365,53.03282890768299,55.37547858464753,52.4487171385793,49.14475306548886,49.080235934819555,46.675221279219905,44.69360533331309,49.29360029712801,44.04136320540637,46.02161001595115,49.637223073944654,47.16173469252709,45.188589125465,42.654979438615015,45.65737164388718,48.471778717244526,45.208848534690766,46.91986116126414,51.53574159580809,53.31742654265728,55.211710596784286,50.7358976320752,54.77350294605434,58.301065490676876,54.99931834506913,53.80603455132024,58.69902141030254,59.120160789088146,55.92443833382173,58.426836604107805,57.945612994004016,57.93879421176337,54.7711255005647,52.50700061199012,49.44901219356514,48.302253643149825,44.82589445179926,44.73607491816321,42.61149673176661,44.51118631047188,47.650589349189644,49.54428270056281,50.67834100598496,56.65816031493107,54.99678438121607,58.96599854835242,57.381690808722475,57.27696459084666,56.038657535540366,55.70237890562502,55.108777786349854,52.70894280211281,48.60190932994469,49.18860853274483,50.51339749935221,53.28195784492443,52.075542246525565,56.85457706052732,54.235073521647934,57.205500772226806,54.64836422807126,53.79511766979804,49.354059790086616,50.22486770192251,46.053575625262724,49.45427638743584,47.63413306032604,50.36536047982552,50.27193160887865,49.6281364224927,49.68728164790587,47.84607619123647,48.478661866366565,44.37841899875994,46.523364616030385,43.75593888962655,40.515779971632,42.4030056047296,38.25624673717805,37.627504034294596,35.810238868631004,33.94367842088269,34.784898237561414,32.30657933224103,35.057292716367186,32.58283504690508,36.93007925595855,38.340488201883154,35.11417213316929,34.05067315374488,29.64650671477765,29.826912244218256,30.319605347578534,30.126845260599325,32.495213764378725,33.75919683502622,35.85781000197228,40.015387081397726,37.102450537614835,41.4493293007716,40.478698463696574,43.60208711312954,37.988077391781616,35.58252960028693,31.227161609473892,29.896600049152344,27.972102197746324,31.57463412379107,29.705356141320408,33.61496012024758,35.81577243120395,35.195613827311746,38.83241332933885,40.03209553261848,37.22811226206257,38.97687547136883,39.61755033855752,38.86667152504821,41.239854304033024,42.28820754160216,46.946556483028935,47.49716122998459,48.12430279082552,47.87733165062546,45.02313993358985,45.089611889387115,44.51127301480615,42.94052157438167,39.90957416523648,42.417485180332456,37.87027346668851,42.528008178901395,40.08716244146792,35.283722975604555,36.9603192118011,35.36527828829536,33.276468247896574,31.280803828370455,33.83441091745218,34.229797405324554,39.30354652404965,42.476079960789605,44.96693795661436,47.55476976053687,46.987434539351305,52.17105827029263,49.71711197927363,50.555134600085694,46.84924540290654,44.68060103935238,46.48057023735174,47.10041390314918,44.09238655633665,46.62424062830702,45.81737757183199,47.803928020915876,42.565462381086014,44.64952854851742,43.72857651290211,43.55707530845188,41.928602482237174,40.5246219559848,41.30169112999466,40.941415726348815,37.409276405083745,39.8761573406171,37.63422690075405,39.30736240475192,41.209395830514524,42.15450898778908,38.41696349420889,36.87717913973238,40.534177390605294,38.376991453543106,32.68054568597893,36.38829627210691,40.67044153425828,35.05972838426052,33.908436290097086,37.40163327545348,37.022084487504536,32.40076332789155,33.82742661952062,32.31641937213855,37.801950525322646,33.79528256442813,36.45943440593163,40.28127577230812,43.388155000136216,47.15926766495122,48.32165664129072,51.35261766862129,49.623627959086406,52.443026933938135,50.89997546319771,53.43231279055356,51.15783490555206,45.78878735168485,48.81015582895012,50.00944197128413,45.2990321597905,44.03406133114239,46.43636316239666,44.237758870033375,40.26155307981621,40.23325815655633,39.39827276538613,44.00374184972397,46.913929996554586,47.34708250415569,50.69810109748485,53.90975581290675,52.233735487690936,47.636496188237196,49.832091706849255,51.62352443768767,47.181456054885714,45.07822117379225,48.03421608113354,46.870798936522384,42.96004025719773,46.53475470014568,47.75158752718722,43.699187518098725,43.31899187668084,46.71984982467917,44.73708637945406,47.62930187124902,46.931784208208974,49.19371672787572,46.89840248853288,41.882510939124565,44.72754192522827,44.45004646162863,41.12729718482559,39.664556726848396,43.936604159167,41.065005660648474,36.386184389206505,38.48601420448075,41.57713427333753,38.23823895506618,34.599194584879406,30.800486037836457,31.192788992632877,27.02961507351662,30.134784759951213,26.699151879112197,29.918063441643387,28.591726907884485,24.29418019483239,25.53875881429175,25.79431158130795,27.691602829886364,31.97437274798651,30.998221122943878,34.75881655308823,32.52488802534742,33.79091129020649,39.29578333683651,41.49146119810045,42.723301278913496,37.50371901856582,37.639643321929526,41.105801850919185,38.45802700703552,34.53417616328448,37.87276403144484,40.994466722038126,42.505619434317126,44.046519231491374,44.68080852713689],[33.45084923918287,32.027815343156675,32.62226309499623,27.86725565833637,30.834855655817492,33.45101671773919,34.063456678529356,38.553328949785026,37.134500979924546,36.36863267393426,38.89990628060301,42.74965451713938,40.56911993718809,37.35987129163327,42.28314347391232,43.92546889675144,40.37615267201023,43.09623177102055,42.02699932370534,45.11703126907085,46.39914097614203,49.61340013564244,48.380480251903464,46.07325601548166,44.21933233490877,41.49518263098089,41.55262562393398,39.9846005470363,43.16076999825248,45.121168073290875,48.148384572173946,49.39454503896583,53.20666730876799,55.45638606001857,52.78436572765723,49.43964161125822,49.75940836524373,47.34538229728179,45.56787358538588,50.46295416613118,45.044348852584854,46.57320112065957,50.25689565293301,47.96897620131968,45.91477715567682,43.68996756908113,46.663031740929696,49.42615604437752,46.47710867677346,48.42531434704011,52.921048273519915,54.827756591854175,56.46690538873444,51.976074435477436,56.15419664670923,59.4143435035283,55.87743105923398,54.67680917860337,59.54354172674945,59.84352464527908,56.34006464523426,58.6288157919634,58.02522029624601,57.78946622641375,54.806209489712245,52.647903361061275,49.13929851075193,48.05045803102065,44.2363731243089,44.09917957340189,41.75621839754398,43.30184338574526,46.72017870004375,48.727358947133546,50.19365199150062,56.151138075549895,54.883426128605535,58.89501417826459,57.605181867146634,57.753877735650974,56.79356639491672,56.70477654370712,56.343739352726516,54.170317306256955,49.981637856752364,50.28362701036447,51.25693580154147,54.02071032933062,52.391695142633644,57.03358351046339,54.12204176388413,56.77992947757208,54.2239375081268,53.51244435267001,49.1409561157788,49.74925462873016,45.65677458389923,49.50398847785946,47.910331162016355,50.89559328849662,50.93783772693326,50.768710160503744,50.82283740580158,49.41716065788751,50.412847982739315,46.407096185370975,48.8726611109433,46.35352368600939,43.0914645896445,44.64429249416057,40.345816970671756,39.42957057177306,37.192173730830774,35.2672274077659,35.4978842906075,33.01316248481112,35.44846941206128,32.93801399923522,36.737796929945,38.212991969523564,34.857254399965214,33.992250846183985,29.84193181467301,30.39899332876729,31.17850928240282,31.625113062927348,34.32839125179227,35.80822015483047,38.22400947624114,42.3824838889907,39.899327071223475,44.35165982420772,43.292049476110655,46.12047129634363,40.49605136752449,37.769452259823986,33.818703703390916,31.94177658928818,29.581122331005105,32.98792234696111,30.723454804898736,34.52753803594626,36.495166678081965,36.132363422983026,39.820989311340064,40.86112248400505,38.17007708293959,39.965234094576815,40.896036705151474,39.96043238314814,42.63425251730814,43.28675949198111,48.134519572441825,48.31572309916442,48.76042506145069,48.73785167346612,45.83666726929112,46.31452544670521,45.51711954849831,44.487979949358106,41.489081935548946,43.61420798453181,39.24628451995284,43.91808663524993,41.889312398523586,37.134675843177696,39.27137819076117,37.79145147036091,35.986646740204726,33.67193838797493,36.2618938727799,36.22684752971212,41.24821333638842,44.29169362165221,46.55700801781443,49.140228423206,48.16957087007005,53.53798792354349,51.1874403477532,52.28604315626198,48.73119601241315,46.71610051404621,48.81008395663331,49.538460813147566,46.37142723685336,48.5381775743326,47.35452344696059,49.54575200568557,44.241348657325844,46.68342309213284,46.06153841777795,45.91152711016749,44.625171689564155,43.359183873894715,44.31787773281168,44.21368676191649,40.603601589671776,43.15730066691277,40.97414228692575,42.33070852281688,44.44943623535331,45.07443253537174,41.22916290725792,40.045992404891464,43.63444510020526,41.13591228716369,35.654089783071555,39.510616740472834,43.47935366611646,37.643780523835325,36.71910104696688,40.15821934071788,39.37048769106775,34.775137758084384,36.49810236686189,35.29159007639672,40.75390647019947,37.30708628288101,39.8614421609218,43.61473472626114,46.98267673073731,50.58971315243888,52.024196253056246,54.95061832160948,53.203891693942126,55.99301125851101,54.2934608073422,57.0218106315994,54.87947776638377,49.37929541487893,52.36661088887714,53.814680762337574,49.12792988410818,47.70960083866133,50.140248452596964,48.18369363171322,44.15471560550781,43.85640655891336,42.94327266349892,47.2543118308653,50.253943693193975,50.60129329574277,53.76534349229599,56.927757434142606,55.01158557479148,50.543333075157314,52.7455080870826,54.258430750179365,49.72504250299004,47.81800040105994,50.58533551248265,49.200045060170545,45.43870099660021,49.20675773199018,50.16941769451753,45.916339508698464,45.90343561559446,49.4331488120232,47.66542391419017,50.67273114442201,49.99464856613733,52.49099341989909,50.19948894839068,45.10136934108205,48.13117211418014,48.026151214534465,44.64866944799918,43.22768967934107,47.72459161382182,44.93000129356743,40.1572817737085,42.33410040771509,45.596129534059784,42.302264128665755,38.60484542933366,34.64470494596485,35.28752070880271,31.007304479185233,33.86349808375808,30.198486034009804,33.22934485546454,31.43517272610772,27.425983208183325,28.908697445210702,29.52895118667984,31.32665573624136,35.46103638477866,34.02304572259575,37.74127483295309,35.0606254920059,36.26280041912791,41.6479293815569,43.89201862712885,44.748607406955,39.535052446246254,39.82945918808078,43.0122186377415,40.023912666101104,36.263413254208324,39.7437759036851,42.56613084957143,44.03629392432526,45.597160736330856,46.2130620347644],[38.0259087507357,36.4705282581622,36.77576591056004,31.85028816446325,34.303197751729236,37.101455858750825,37.29986132186228,41.73793443353017,40.188442967416236,38.92709287430144,41.3446725107292,45.353492500801664,42.76602835846336,39.41528746974274,44.1234578610782,45.729553904449524,41.91545367901203,44.18427862179957,42.51860388275583,45.662064140152665,46.48634836487357,49.56362038487084,47.972390681626,45.500899133512725,44.02634711858828,41.561937390849785,42.05331362427105,40.92055595265861,44.36975018024834,46.73705744244249,49.54713213734838,51.21454154504908,55.000544158530175,56.87495140071678,54.201212437264125,50.615276102262314,51.28125704519281,48.34941090995978,46.44819355233506,51.15901231054406,45.495092016171675,46.87170403258622,50.32310580566819,47.891338303759746,45.465107871804975,43.29790410898924,45.94125763575693,49.00960429697785,46.50641358641647,48.12958716436979,52.64645058580122,54.755546865412434,56.33783795561953,52.217230871786704,56.585678794838145,59.56353958892396,55.83147649378833,55.00818989175835,59.89138879043431,59.74888801909351,56.29801212604545,58.74656113449217,58.37938584617454,57.69031107128206,54.69404127615008,52.914145967406206,49.28323433459308,48.629090509208055,44.675619474895356,44.96978387624123,42.423002470756515,43.763904794704196,47.35253693628017,48.99427860458179,50.897416645164384,56.65295698617178,55.43310808678709,59.63746690014765,58.375188950974135,58.39631761238863,57.77442813100802,57.57095302275613,57.62648666572055,55.402787816615415,51.07727895341337,51.54919629400425,52.15644228690876,55.276590387313426,53.27638191732311,58.14042768111806,55.126884428575515,57.66130000350609,55.37696238178864,54.995925228179296,50.80815124038832,51.4935235698839,47.5718201291822,51.58725912143693,50.27837857480693,53.635361643812395,53.245669613655444,53.43235896047574,53.037005762913374,51.96099265275389,52.68292565740828,48.96639690822849,51.571233918383484,49.01046462356954,46.03967015014815,47.59335118628482,43.4319467560275,42.08503767234451,39.96508872679786,37.60884400707736,37.5564020891205,34.73339296908728,36.72909002940198,33.79520007490452,37.13048359954258,39.166263968400585,35.92093882754915,35.53676230169719,31.413390079553796,32.46597928554676,33.76495616210109,34.0874132008134,37.41728992845213,38.50310671589442,40.960178458652194,44.81983598560941,42.388345599360946,46.76429437947811,45.282656506800215,48.192944775448794,42.426771607521886,39.81314150078922,36.09931417721998,33.87690141090937,31.304164026368763,34.39681270549289,31.389130095599633,34.70923075139986,36.98378225031616,37.08972628619732,40.71304825515781,42.14221984501155,39.67642637183273,41.89681512259156,43.168738671522206,42.58083963686,45.566697599360786,46.37464187021181,51.323489465951134,51.736222088819176,51.85263046521663,51.626877088505665,48.488329843095094,49.03520826436161,47.82662160834936,46.893854178736476,43.44512122208533,45.170476636846345,40.531411458987996,45.04351985942614,42.898981857856214,37.94288819607037,40.302640992516736,38.455463537265885,37.11875298248049,34.91668489235703,37.75556060493399,37.70333081973383,42.708062420253945,45.8643935663605,48.19894953205202,51.052992910670625,50.035100556180545,55.38458536752926,52.73198010942248,53.98399332203654,50.16328897534895,48.702732293308955,50.49415712977066,50.96092772312305,47.69393649587784,49.423445073649056,48.07543000120126,49.94094329054286,44.38804824084925,47.00235542277482,46.46427346035429,46.70544721839835,45.68224632392137,44.77222738319891,46.00259526881518,46.15232853250303,42.869163667079164,45.71863277401907,43.89895297275583,45.39952624612606,47.7843572882576,48.553636948236715,44.65686180177329,43.618875386032876,47.40013448752315,45.00398398764314,39.52363441961177,43.51000836483369,47.62477206214781,41.86725671205329,41.03116704185921,44.577411521664885,43.82570711974962,39.28769798388348,41.08492463316361,39.73033415335652,45.258959043765145,41.4792598726588,43.99197774429856,47.84963408381286,51.00661372350297,54.78452468268285,55.926048339237695,58.84062053383416,56.94512005256006,59.60691099811602,57.803308083371334,60.33728185733271,58.29466896537144,52.76373170804941,55.535442575372,56.848467997846456,52.2214945596739,50.70075476483063,52.837498684786055,50.88937746435353,47.05290540071265,46.41189445693131,45.9850245576776,50.160190218808445,53.278666211234665,53.97121736850469,57.10930984858028,60.49198746623984,58.458088178934105,53.995418088514626,56.51750076221393,58.02823105720161,53.408375121878514,51.692579573373585,54.642220730491275,53.29522995961196,49.58148607442369,53.43627098180259,54.50792867392992,50.31046260856429,50.323129774303894,53.856821430673115,51.9766040512265,54.83585534830911,53.95635533968822,56.37928824762203,54.28776284144818,49.11807958578427,51.88706864537734,51.85759988804229,48.57382564640031,46.86382179271002,51.240304853909365,48.588340783237676,43.799006466378394,45.62524562014487,48.887873439490654,45.70981838272648,42.02905282471207,38.27188937217878,38.74012412246638,34.68065010730272,37.880021013044036,34.30593754978747,37.297858110863814,35.64250619637584,31.579915705258433,32.750982277487,33.11399694942609,34.661199413723736,38.94077162885993,37.419536965013535,40.8914880331145,38.20377776454786,39.8771191776153,45.161867867922986,47.6301537092303,48.37734586479243,43.16852035724701,43.81480946408139,47.030303625903315,43.7721881853305,40.33077297630151,44.00971715389059,46.833047874165196,48.272127345015754,49.825013352391416,50.418980057862186],[34.886808991107756,33.48686506148634,34.03808287303375,28.82467257272776,31.585602876920504,33.671768934429956,33.76203413550533,38.088489666552476,36.16570678885662,34.91467891016082,37.12926475782407,41.187264145910014,38.891528833660516,35.30817413009858,39.99586936612114,41.810056416234744,38.222710640816786,40.571316109045036,39.17277344036374,42.557280672409696,43.58481492212777,46.95822249793744,45.48341786401618,43.27277393954739,41.661374519257365,38.82716377173113,39.29083508654939,37.811648294467574,41.002051296733946,43.210793876472955,45.67961463817816,47.453585610190636,51.08743841420672,53.09260377564165,50.628304891287485,47.17923938377085,47.94284719354042,45.36390570814443,43.75407530369995,48.85628556349593,43.27103093372425,44.32747970536772,48.0133261070234,45.90841134394984,43.76731753690157,41.88980626259211,44.80656885414473,47.485610812755034,44.91533848481776,47.0996135482908,51.422044318217964,53.461734903770804,54.80958170532156,50.36193560858893,54.68420438301857,57.61266933534211,53.83758734951253,52.68757798619984,57.50458926265126,57.62237819195341,53.85280031885193,55.96768888986636,55.31077921222954,54.797994702209984,51.97988954963184,49.99149988316123,46.10516879135631,45.17632788744888,41.0909554040207,41.060000518041434,38.51045930531085,39.75338434419396,43.39072434616349,45.35005941346531,47.1749511510042,53.03358008615769,52.07677781846453,56.16142234821475,55.118538329932555,55.447720314861684,54.828860207288564,54.93969402501043,54.91818589503914,52.95861903812566,48.678504085216225,48.74878645879964,49.28727832968715,52.137339017759196,50.03918418764206,54.61981711396361,51.4605653677892,53.839842372834816,51.3961859249601,50.925014744711746,46.70454481436581,47.17839074652408,43.24433653141422,47.460641912491056,46.196663466158476,49.58188804369652,49.46521304071819,49.883464858458,49.69220198008141,48.85592024161653,50.06730057033253,46.320536886117935,49.17935245390587,46.93055282638642,43.822182086598644,45.00264157872088,40.66949894073938,39.22764698842376,36.689136261857485,34.50181467052626,34.0580873126389,31.452616877967913,33.41925525030415,30.7827669000437,33.947253515227544,35.619039833042656,32.232961039424715,31.719441634177777,27.83944399790397,28.917004575703675,30.197766213809317,31.134618391806423,34.46985490723397,35.912653221315395,38.65406941647324,42.62938455295899,40.68523380537901,45.195774067477124,43.88193502549489,46.360880768954,40.72692122047238,37.70891666999549,34.349005134849264,31.772724157063326,28.932637492018657,31.984812083880094,29.19546625525326,32.755682472380904,34.506464153143995,34.49528747046701,38.173414550327415,39.16027842677879,36.6746846774168,38.65789459756502,39.9945153368006,39.08940890629881,42.187804226790206,42.611826148442724,47.65159800588447,47.738865872463144,47.78376052065239,47.78126893899805,44.70852013728625,45.56283006436754,44.35638811073109,43.868359151827626,40.72839378330491,42.31922903186108,38.08543963857326,42.68142951049629,41.07900057499362,36.40444051072356,39.07675586501793,37.7229302903502,36.34622793298862,33.690856761851784,36.3306893701719,35.80438180008672,40.702984930077335,43.611758869000106,45.64907210356204,48.306611844682045,46.94207659475131,52.44201077994177,50.09591717904724,51.500746954128026,48.0452230686052,46.38634655992073,48.68831364567685,49.46942749113477,46.118996808978316,47.7673545752652,46.154331208364695,48.50882905694996,43.16096993436596,46.009828134510656,45.762138155416665,45.66702736590064,44.85359259299279,43.832291766369174,45.07608113749957,45.385539206048485,41.79941517033398,44.5666654069124,42.65872643192325,43.670072180960204,46.23270632925578,46.54660231001948,42.560334510691035,41.94851643592481,45.59284825986127,42.78167969733171,37.61458545374403,41.777257107369316,45.47588543888885,39.51683235152989,39.005132249277146,42.51593823180636,41.296963536478124,36.88025471521079,39.11835707117499,38.06672869137528,43.598959076835044,40.562530870981156,42.765686895254866,46.55774865584246,50.07210890415069,53.660988661497704,55.1513992812038,57.80524155162627,55.83210107171023,58.42534646103532,56.385325984276356,59.25692006904872,57.43335394252357,51.69902268470625,54.45642638972905,56.23165679750685,51.64750420505518,49.89869682506241,52.20925861964224,50.695652036320986,46.68714926732069,45.76013698507211,44.98040239239765,48.76409477852832,51.93896773763293,52.39683596040577,55.27577326615895,58.535172058629726,56.23225125078787,51.94757184775347,54.41770618521789,55.58655955169802,50.89543144140211,49.40173762301021,52.12639644103429,50.55081912297241,47.02882372533057,51.10680741276483,51.91793012540418,47.5591876213608,47.9969294929448,51.67818566122217,50.03219453458706,52.97043656969664,52.07052787009468,54.81627419854143,52.79893243996747,47.49526842088371,50.49729269662228,50.77627334381954,47.43443326638187,45.755947037000965,50.52602170437098,48.085552077702786,43.093839146588664,45.065699221925314,48.69571854337347,45.672816130929846,41.83624857830292,37.75177778261626,38.87127142011321,34.59110925742415,37.401011318857236,33.332983056018705,35.92620346986126,33.67349579127967,30.04132032271592,31.46229334757631,32.40312202953362,33.7949752917419,37.77487471527523,35.65904356696608,39.118467398141675,35.944704485072016,37.40421694550583,42.52971681901461,44.99478304705936,45.37339266381106,40.21102010627161,40.98848952734314,43.90754871076294,40.37486407424709,37.11846438524682,40.929852997023204,43.48330642937291,44.8881896922259,46.46991282519804,47.08618434829022],[31.296452503735043,29.632146816511376,29.8836543334618,24.862277857581653,27.472059658731222,30.118324337605745,30.452123682497373,34.925997926725614,33.512789863397565,32.55534222095399,35.13725058132642,39.00635682205123,36.64014178287327,33.490213172779164,38.41055538623389,39.97139298592525,36.35945253928908,39.09380640087077,38.07859108508591,41.1084532759596,42.475463126713336,45.69557093651752,44.568244076082046,42.31604360416415,40.34628681585996,37.56824959144582,37.53384534084599,35.92308273566508,39.0997828521595,41.0746991694749,44.186669589613565,45.40003331695746,49.250878737612865,51.46503341118865,48.74471831581058,45.38925072739097,45.69199879951273,43.27075782947006,41.50950722888847,46.454624187697775,41.0663153824656,42.58435205544344,46.31706664015464,44.091779958214026,42.15653021804687,39.98176030977561,43.077973587543575,45.685778471622534,42.661634827717634,44.80132444919315,49.22923629018682,51.099569426687864,52.679756310255215,48.08003887529384,52.23303003946514,55.50383803782408,51.989462009643226,50.698918432533596,55.55241010284911,55.9407456831057,52.40930926419752,54.66920175365108,54.04105532295192,53.90467877220721,50.905651361434074,48.67077622669438,45.24283471300301,44.099897756980575,40.37674704218493,40.25069416287127,37.97992233345869,39.67946765345629,42.97900499139724,44.95236205827747,46.300224838107496,52.27420910517882,50.91024192128302,54.906793804855965,53.57037415319466,53.70907723648476,52.72067853546167,52.65140242696177,52.290636627236665,50.14903486578492,45.95876060625213,46.2146157485035,47.188594984944324,49.94192843009181,48.34124623923427,53.002239262713424,50.14094654554764,52.87887978325231,50.33891415968228,49.62476004201567,45.25767916010914,45.97924025664334,41.89281947541742,45.644198805038485,44.07696790979377,47.156472103378036,47.01479383240296,46.919640368363616,46.844826175403334,45.54418572772879,46.54182691806548,42.62109819287087,45.221633836474346,42.79572505731189,39.61573753459833,41.04124455849577,36.75776647901817,35.62103319734362,33.37024348170549,31.31283754043126,31.483060021605787,28.947055880515112,31.380094938269494,28.887707286463566,32.79296124716824,34.2197769382781,30.889524410109374,30.011255531156117,25.804187764162087,26.38640822544227,27.284216587300367,27.716559135077276,30.68589009639735,32.070445065941485,34.60039816953765,38.684408714944475,36.423318807929,40.91536049238664,39.77475347752239,42.43807812766022,36.819063189727096,33.964916089676706,30.22477170145559,28.09734498254488,25.610677085123907,28.975429687007807,26.74835077094027,30.63878844791032,32.49515822617,32.082816971534676,35.77792522249912,36.78076403320794,34.094701509189704,35.92658165840828,36.9274555664128,36.08406533331375,38.881682123628465,39.625450460342066,44.5202278780774,44.90403047260997,45.17442084980306,45.00390730393706,42.00223901078503,42.47970199906537,41.55804600194073,40.574555062426356,37.5072884965374,39.55639007323074,35.222428664448486,39.90182896410295,37.99908836319298,33.323558816719974,35.604004041748595,34.308429435774435,32.55781188689601,30.03804680081245,32.58763543949983,32.36487676886239,37.35352651647253,40.346536428313215,42.55606023442014,45.15245691375723,44.133211143516625,49.51537696191537,47.161140873325266,48.31269648753205,44.80431375366392,42.84074058671108,45.03370253785635,45.83012544505208,42.60857009205785,44.693037282158215,43.424834204382506,45.75532602442101,40.529425184922566,43.05503057962756,42.56579406996234,42.301643017609415,41.15330576868851,39.9068770086005,40.95163518718324,41.033185343615415,37.373313691581615,40.023737071378044,37.99133272186213,39.15172040068249,41.558879633962015,42.037783329988066,38.10322839326411,37.26598735140567,40.94965255534984,38.31745806186016,32.9961043925522,37.10791817858446,40.99848549896163,35.14844275682945,34.519202851073906,38.10008455424627,37.124736890670604,32.680448637061026,34.80371265490747,33.54978348628343,39.144121148465636,35.823456376131446,38.01704872647249,41.867625843078166,45.267359818300214,48.95786120648709,50.30765387030416,52.974621076602006,50.99428016605515,53.60449723296624,51.64091905781497,54.44706613539367,52.55724384025163,46.86637425697546,49.67495544543779,51.37196438749262,46.763504461068166,45.08535999545405,47.45281624188786,45.849490041960095,41.81205867172874,41.05713959712708,40.20115012156394,44.17217830581186,47.28485940051604,47.73197512600635,50.73177978586089,54.001108807208404,51.860420929247326,47.47523817490714,49.91618361453509,51.271140843458305,46.63077451985495,44.98310905195178,47.839085058272175,46.411112784104986,42.767519437097455,46.742210978446764,47.733975254236796,43.50203483574511,43.70140206135204,47.32040414149472,45.52745640286438,48.391842845260946,47.467317385691494,50.098338203618674,48.09122796304875,42.80168921728234,45.72046463149978,45.93777236330571,42.61715025338539,40.906392687614,45.61859966666744,43.175388265406106,38.18568459895432,40.14726402724465,43.758420920109714,40.75122881863385,36.90471994964039,32.83341365591594,33.99326527035831,29.737343059731458,32.62600052875698,28.549603213423275,31.168680845486993,29.120041891400657,25.336293856752057,26.638408402372594,27.48315349327725,28.90632213708563,32.93827250181228,31.034984048096067,34.58201185372035,31.660578689836775,33.10467187277535,38.36871238445252,40.79106651422073,41.463466046966424,36.25148817960993,36.89113498650189,40.04582233516893,36.776002372134066,33.3349255434141,37.07536238725085,39.8949820650402,41.35108895406165,42.942480295318184,43.59838983272683],[36.20186032559198,34.228576845650956,33.88346777360592,28.866671512687937,30.539804754725953,33.822355382522595,33.685366176107514,38.11452143274074,36.84944776520364,35.31793450954164,37.926065426277724,41.89020957895348,38.85537742384782,35.78707243779603,40.47273164476745,41.80172122978849,37.766695291307535,40.005132528823765,38.26858134322308,41.13657634576743,41.979026736626786,44.86565396576484,43.391420541450536,40.83160255841492,39.235541889961304,36.93161286997613,37.27537598675698,36.31085994357414,39.920520786342976,42.39439243223226,45.57280584334338,47.0837282819902,51.02031086927436,52.76767665376151,49.88076903976093,46.20847092813795,46.75647644501592,43.60257927763539,41.53085713302883,46.04474518289917,40.39334733228544,41.990728289055156,45.369637871398965,42.81418986635098,40.40130279724378,38.09443351382304,40.776823493466445,43.854533410086496,41.238355243798594,42.7961593115461,47.350855354562576,49.43518498355018,51.094993101148916,46.99611158186597,51.341379441782685,54.39519792012312,50.745829049269446,49.97615382756863,54.882311836338,54.74180659188898,51.46635383486223,54.090578304838424,53.86593090737917,53.259793650730174,50.1095246329314,48.32102683809951,45.010646828764905,44.434142957114226,40.735632964779185,41.247470486827254,38.836107546831386,40.49818568699701,43.846786317888814,45.23853840544851,46.970379052370035,52.688328204180685,51.12629404267703,55.36859725607093,53.87756356757422,53.676399862182706,52.98109976382198,52.59384553534564,52.67598873634552,50.32329634029173,45.98420241944447,46.65579646698255,47.33372122715864,50.596090394088144,48.7411375902137,53.806928690597104,50.99000561226123,53.764919887901044,51.59845272902886,51.252799838299175,47.09830230567765,48.09642431442053,44.20128517833387,47.90031894985922,46.593879335045315,50.03574326664883,49.200788528282565,49.31981737054151,48.61040346193245,47.51960082226409,47.91240596086717,44.35641888080546,46.96965829375232,44.3532076302378,41.61388745798626,43.223834231117884,39.23848133496392,37.64521447110996,35.82024702504698,33.1749558400464,33.30517964626919,30.27759766340773,32.269575395203006,29.168372881306226,32.7861621766253,34.98149164070571,31.890595269735055,31.579311151531247,27.245431400263598,28.320849731951306,29.80433092263168,29.66417137937772,33.34734115154236,34.0216967550067,36.42265196530332,40.06012673654407,37.64235525491713,41.95903390856265,40.25542117873043,43.19639654267895,37.37898317970469,34.87241904965685,31.262047256294935,28.92984149423504,26.380290089009826,29.397310487200652,26.291839619886268,29.5674662949364,32.03793221254574,32.14390385661527,35.72550512237786,37.39681459298218,34.963679745368204,37.38664103233578,38.70374569694088,38.47688017977044,41.5344383948506,42.73216773225507,47.64486491280204,48.57123434082553,48.48893783214753,47.89740617919403,44.59435122682939,44.920983864873186,43.545337719102164,42.37523345028436,38.64086797878314,40.34353645750769,35.4993437940275,39.95059851062759,37.627177151117614,32.60983122105352,34.96190661851515,33.0666741851085,31.834311657726985,29.641278375025497,32.547829016577936,32.54456096594466,37.548807717274,40.78479841063835,43.229917615112036,46.21742045399239,45.37438906698703,50.61574910954512,47.77061757489872,48.98477998163097,45.007721306666845,43.74784380628569,45.340382907250294,45.704693179421675,42.42355697991571,44.09940039411933,42.81695580651949,44.57633081196926,39.01239563437962,41.58318780679587,41.04462585713223,41.315422566263535,40.355350465596224,39.54444274915094,40.8862698303893,41.20435861663071,38.057601780251865,41.08810431034605,39.55962019724819,41.08714738922555,43.7583516725926,44.609049338405356,40.6738632016726,39.864815907209,43.84344996647681,41.5481866637172,36.147521675695295,40.34441870032951,44.58499996562341,38.99291568980298,38.373316853713895,42.11309665843957,41.406017425916566,37.04953033420942,39.10823874000629,37.50333294532714,43.17455153298265,39.12945007593436,41.30105645769246,45.317543749359395,48.28036140636607,52.29321998626076,53.08382394416664,55.765562852266115,53.58200709641051,56.016373509421285,53.98273398775406,56.411799728971324,54.60860033509487,48.948581968122646,51.455533213044916,52.84169942508268,48.3204000656815,46.567437571224765,48.49397504492503,46.80336601029275,43.071608525004166,41.946006840827714,41.83118919144906,45.74047164360074,48.96967947730055,49.95331633217289,53.0032983831303,56.606857451483755,54.427495458101376,49.99341417960228,52.881201818989574,54.37664942513994,49.67749984724136,48.20354971604846,51.408781813184156,50.16037605157317,46.51692954952633,50.496675689240185,51.774068179553744,47.74326888038898,47.781891917261255,51.32670345106054,49.27027455962137,51.855555312292076,50.63612417846889,53.035442906808484,51.32141889925159,45.98837942276742,48.43069136405269,48.67529308019623,45.52790033182078,43.385942718562156,47.80656760161138,45.54855780042501,40.59210985902773,42.00161321896631,45.53466271155597,42.69228352663002,38.90637178718471,35.21743255446359,36.02946620682664,32.16027907606797,35.632246062858975,31.81000301022439,34.446751314057835,32.8470635896554,28.87229358387976,29.597798091627777,29.888572422080113,30.9781458369769,35.26729511674769,33.48870709570156,36.67651952855107,34.00069571835506,36.155947595692396,41.312391824504004,44.017253223762175,44.73763581028389,39.55544385806357,40.60426714946126,43.94396914564847,40.50026507384852,37.435778104765106,41.35630464757416,44.32532452065454,45.75752037944114,47.316747877854496,47.935600535731346],[37.10881280581355,35.27099341760557,35.07113220266673,29.693168543657166,31.400033683570047,33.99729699899138,33.46816736716756,37.71346726666628,35.925616833612814,34.02996661279741,36.292616935984356,40.430703740344136,37.419783066119415,33.96152181607738,38.420991687699704,39.96684574146358,35.97601593100735,37.89216528110611,35.90788285509785,39.12264190855465,39.76466542377676,42.877656330872654,41.18565060992846,38.77256849136263,37.39258141955202,34.89520600703062,35.63324675036538,34.66764671732337,38.216419227838884,40.86349711431677,43.433082878837155,45.44392839402689,49.170387263071504,50.74255818254531,48.10830834111257,44.38515573030526,45.35923431212863,42.16266357609321,40.32505250738316,45.124615862814714,39.34583089276063,40.41498754418765,43.85108711745062,41.54532986110689,39.10948498583754,37.20952753332512,39.88614873779061,42.800985495678745,40.53786904717386,42.4392529060312,46.77997845453277,48.96732984044748,50.302780813171296,46.175469384791604,50.63756424634035,53.37088796449158,49.49022873088018,48.692528499826686,53.53494592527851,53.2844791071849,49.68292335035781,52.063404968186155,51.71674381623852,50.883653180729276,47.933600443892246,46.26048881968183,42.51861895049522,42.03100470513311,38.032182559374164,38.565595439336796,35.95109370754345,37.2898593944987,40.86868684096012,42.29506532678403,44.357684417501986,50.009041916520324,48.81438568349384,53.094528046762655,51.893305091213776,51.94085202741929,51.558970501817655,51.43523285851308,51.79616744487749,49.70876671079582,45.31069647645003,45.664746033508024,45.93215081963913,49.19465431393382,46.88721178487394,51.81546585762187,48.73002982191579,51.199109556989725,49.090484527502504,48.935936638358605,44.91060414379914,45.715686007818356,41.962671550707796,46.045545537642575,45.03311083770772,48.79654366982054,47.9441671116295,48.61577909119143,47.78764967362515,47.23471848654709,47.9642735627907,44.607002514173026,47.593070296565465,45.29164123262903,42.61868785248605,43.82100704271277,39.75803807558552,37.75704158705375,35.55479548684067,32.77958868018958,32.21706067945388,29.165169274946958,30.7143432301114,27.57655756874405,30.52220489825199,32.8237167600179,29.670926130792356,29.658371876284882,25.65876111303087,27.204399582939903,29.08961879426992,29.562315441573013,33.691910596092384,34.47875887646323,37.209754671335595,40.73757720211237,38.895255807398726,43.276980710767376,41.452376019778065,43.97578101728676,38.222408450977255,35.37080847963493,32.35687849934211,29.382443970451394,26.370329880581732,29.04384348742809,25.52614577672369,28.60562999665996,30.73511123984961,31.147981991852664,34.72456543228336,36.22274208122471,33.97495913588784,36.481297205336425,38.15222925755677,37.835753975515885,41.248466097259836,42.11497429263583,47.190371951484224,47.8949067226401,47.49990272643624,47.02254677319225,43.623344942918884,44.35920219473349,42.66611545930383,42.08812914493721,38.35719538573774,39.56056592514742,34.96692541397555,39.3598981189428,37.570157527989785,32.72425073833875,35.61333605814625,33.96925664002865,33.097108144742926,30.514584250385855,33.379229142772694,32.826059065507714,37.668172696885264,40.704750476431975,42.860855766827825,45.84081260185554,44.562272511950646,49.95006587491997,47.20866653652394,48.72261021748054,44.9474435900991,43.923717815824595,45.834945951398275,46.3324192037511,42.890515573823734,44.09694352118994,42.36905497476619,44.391465274432804,38.85091196168306,41.8425263403893,41.70632876013965,41.9392483617662,41.43435573732972,40.79429234314322,42.351981909535624,43.02129520934899,39.813968556081655,42.94327113237568,41.5662692213984,42.682401998814434,45.68151199064612,46.15683376653768,42.1140895436989,41.81725845194232,45.7485238465773,43.100982999864925,38.029490547327185,42.440744799035926,46.334148028033006,40.58938922538587,40.3177160132503,44.05184018413148,42.90515890179724,38.68934559560406,41.17396473054345,39.81094474928967,45.492881878618945,42.0027244589919,43.902762486087965,47.888108570879474,51.084646777394404,54.98295807954344,55.97213022657755,58.421645309545845,56.10679968797785,58.41111420777371,56.103769392481,58.74147232305947,57.20103939599448,51.35082042036245,53.71752177386404,55.45752826511487,51.02304469376872,49.00726942292325,50.91783320575754,49.64478166987362,45.879674638222546,44.28885318966995,44.12688693322212,47.55143747586637,50.899858348092295,51.85422304964549,54.62189904623176,58.221116146312404,55.70486753661279,51.46727610677867,54.47845577104902,55.622295240915186,50.80969304988009,49.673198820888196,52.73655694199604,51.2734095874387,47.8577105722799,52.09355318045329,53.15328656312245,48.984427179643596,49.4589452442702,53.14376264509403,51.272969325058796,53.87175748564419,52.54529137184511,55.21343832666671,53.65777182871374,48.18177936839679,50.71793472643163,51.278423895586954,48.124547954100954,45.89148076742654,50.596910365015226,48.58863439188359,43.46701068460067,44.84270079605287,48.681162052327224,46.02262466299144,42.1291978840352,38.25940761728083,39.51927468202018,35.55923038421092,38.81421528009916,34.6374087076652,36.91688639820988,34.82217380900202,31.238730140459907,32.08017827940297,32.77928355469706,33.61786878591109,37.67552471537092,35.28515136817513,38.29918511102158,35.12693956425116,37.33377602850354,42.24249051092832,45.06760877181902,45.32852781568183,40.215579151588905,41.597371749833194,44.629917134791576,40.74475691937875,38.06782361543322,42.211533336125314,44.87909451655468,46.24942411934522,47.82471047574547,48.436627417750366],[32.46543365918933,30.534396609666267,30.23860338434717,24.7779239590398,26.495866650618368,28.973449199452908,28.478502730325005,32.75744082485136,31.062913086808525,29.349494646567504,31.762721668716363,35.8195947235162,32.935808189399125,29.616605747312118,34.28030382595422,35.790182706943725,31.921572700487065,34.23583167206351,32.783298223566945,35.91446514608225,37.019090579226194,40.25887277183351,38.9551110296092,36.716608296898265,34.905961456097096,32.13418030310349,32.42211273742156,31.049210366133817,34.40581126116866,36.75593353553399,39.59861684322935,41.248869054077424,45.05142333107213,46.90181463418292,44.210522477446084,40.652718802285364,41.33377239067441,38.52919428144306,36.79117269352699,41.80232571509019,36.22483402492032,37.425973576557475,41.10891617512559,38.960017787300146,36.92904323469098,35.00932748890558,38.069988816102615,40.609969782806616,37.90055724473514,40.22563193922918,44.50352053619845,46.495743233910254,47.84119118645748,43.31536712629632,47.61580042963962,50.59933375520297,46.891693612090826,45.711347652682434,50.545951259295244,50.72834674757869,47.062658872338396,49.302508606549274,48.74566789663748,48.367494723656314,45.40222444133118,43.34532513584073,39.77046194215325,38.87110391115417,35.0505226311749,35.24092123919728,32.84613404819304,34.50565618401163,37.85288810309031,39.55855548758632,41.16015396716304,47.0134147495786,45.68636247411885,49.81302379921126,48.53901914376602,48.67490440434688,47.98866859397387,47.96728578030744,47.98969597792536,45.95968764378835,41.651020968810904,41.837143341192416,42.406829154769454,45.38975246069059,43.40295750702011,48.19353110698041,45.22566664702537,47.877956471334066,45.55531212394245,45.129389368901464,40.93959708990152,41.78913064521288,37.884343008029894,41.76738345821579,40.54762516410679,44.118734215173625,43.43750909348189,43.89531310252251,43.29985822814837,42.57653484375468,43.516967728965795,40.00124344656163,43.00290361096201,40.803582467871244,37.98125474872496,39.0754369480053,34.918353901213955,33.03393988669625,30.719057060798963,28.127135743815543,27.7160069252373,24.845249425848426,26.765067366822294,23.953407196576144,27.435785903696114,29.243173840130638,25.98838862444829,25.566508585934606,21.427544100466612,22.637918992623305,24.273468620722724,24.84215947779467,28.78930672100234,29.781232690617347,32.59337072626109,36.28629960129347,34.595122067117515,39.070400510409286,37.4942918376681,39.823277672646775,34.16689213495072,31.10455993275313,28.098698431702143,25.130283121961643,22.126019183452474,25.029793596965597,22.11252248941978,25.720769145039686,27.5073776692928,27.48506012141407,31.153578562598028,32.31545315828422,29.87071571878406,32.095513861696396,33.57676264766528,33.07576118865512,36.380139579548754,37.21433417641136,42.2677249982025,42.975177694846415,42.67886568166568,42.225399910093074,38.90726412262354,39.59036969793485,38.097557308953455,37.47996310578358,34.01519964609839,35.47463248738952,31.09393876001833,35.65115130452777,34.05180496028369,29.410428644819522,32.25837156515218,31.06000343398263,29.862392580337502,27.002933451229374,29.646767430144266,28.933354481127317,33.78625009507404,36.706352399818584,38.7726318379075,41.565998528620455,40.2809722037867,45.7181894534315,43.197435965288754,44.637651683955674,41.09215133990162,39.67625681260973,41.907515583564006,42.66459404788815,39.24791446786796,40.73973131921297,39.07320599391321,41.47698087358472,36.18691037864055,39.11167814613998,39.00788549625284,38.836726442106766,38.23285401752082,37.33069468206889,38.751245048252734,39.37923875041913,35.888828263809984,38.87609700190304,37.360562406229704,38.20760888861926,41.244949637734315,41.49743766573626,37.42623380213703,37.315604132918686,41.17227005155672,38.354877410405685,33.44434006486247,37.94694871136055,41.65417355537128,35.87740153347362,35.789841113674434,39.53497602413893,38.22300078485401,34.126285009369184,36.85667517652338,35.57174612762769,41.255439849742935,38.114947402155494,39.74890276279102,43.70840140278571,47.05177055055526,50.86558785385904,51.991853063254204,54.25013855420552,51.87661164497409,54.12846223806079,51.702811690681465,54.530740002211736,53.111246930326665,47.15698202256891,49.53497196107209,51.55433479043479,47.14956884663094,45.01559346908344,47.081007056014315,46.07627382803503,42.185682496115014,40.49084026940057,40.02439695941025,43.2670604144872,46.61323869021501,47.394518461982756,50.04934654450113,53.56599283120211,50.96638203375573,46.792720158444354,49.75794649253424,50.77887563593812,45.95044467211071,44.887386980498334,47.88539394872396,46.36625586318118,43.021573486040175,47.34385774048472,48.34867295204826,44.174428496095175,44.79459993020637,48.527044203488835,46.722714456143954,49.301785944909724,47.93063825713654,50.74455187180526,49.27171079777499,43.72381809061597,46.34354066495354,47.09593634846885,43.9375788549306,41.692722468294015,46.62354290245196,44.79131038446229,39.55141462557621,40.99494901777267,45.07586519903611,42.56827814525233,38.57996476631878,34.523412117536346,36.279462307761584,32.24353549951895,35.250774451068324,30.75855164112746,32.702060037893816,30.326637919319598,27.024290344470653,27.90737767451481,28.954127880912356,29.641872058577288,33.476410833833626,30.7625599683283,33.79088513304307,30.41496863877691,32.49749217234799,37.36084596425113,40.172230138352695,40.35696708494716,35.246288867835865,36.67191916671296,39.649807081204855,35.7250764230906,33.10630548197294,37.313635274104705,39.97260173777218,41.346995302320316,42.95053914446168,43.61626975390834],[33.136835492178,30.837741893894457,29.95165986897003,24.847700718428708,25.849227720760588,29.386013667105928,28.95701805325524,33.34293325980956,32.31805003339999,30.641283425312512,33.42116003375353,37.28999693373881,33.98633318379859,31.208856084110003,35.91298126455106,37.015099964228796,32.893976855258444,35.26214614177498,33.723377244824796,36.34874905698195,37.42006556708365,40.23923047985176,39.03809771634554,36.5287377884474,34.63612645325118,32.30461516674385,32.332750190059265,31.300763022133683,34.92264246684114,37.338357301767175,40.86816365655904,42.1204045139551,46.17407040939589,47.93978055143399,44.897631026654736,41.248479756515536,41.59767603089739,38.47269366504819,36.34338565244846,40.8410226909925,35.29306576332049,37.07803565648667,40.53318061741837,37.993239702208484,35.81025529284904,33.433465143875694,36.356991020480294,39.21336695440193,36.305508293913135,38.09068072018872,42.61282101874251,44.58375283149396,46.26966720168134,41.96588344421259,46.22457102196179,49.43059700565696,45.90916643563406,44.97434117919055,49.88347643234659,49.95905371861382,46.74777232184109,49.400279403153604,49.159139342817134,48.82484420034559,45.581324339380224,43.60480894487215,40.59238333857817,39.8777727443463,36.45743704079347,36.96791780878152,34.76934887789005,36.790495709061545,39.837625260892715,41.17212682240953,42.56590877579054,48.32386581437288,46.483462306360686,50.6684188370693,49.003539760481516,48.707523898245086,47.83491117291576,47.38964999928117,47.34501307388647,44.95520716238991,40.646047358817995,41.35278069513958,42.197354534823724,45.42086639054321,43.79732194380674,48.91926285168627,46.2913058534042,49.29556103701665,47.12568703308914,46.69276807269116,42.51687202248097,43.75030277555519,39.84199435312849,43.21361141219201,41.8426360352657,45.26825936473718,44.17875803864114,44.195234998746656,43.34794612366135,42.21859910857145,42.49815688301239,39.01219399397833,41.68246313074415,39.11138931008054,36.48865170700786,38.03877893642319,34.14686751919779,32.37331576355241,30.707313164617855,27.910450414328654,28.214761337749916,25.12069629223588,27.246964181811208,24.184326303645527,28.23042808380296,30.302818017425146,27.31437708508047,26.891003107098978,22.384680998332037,23.33311757141214,24.866100328612074,24.413702549868454,28.329114563234928,28.76979154970763,31.19649940614174,34.72332259637622,32.46391792478944,36.7945138747666,35.02871199316467,37.84203168487027,32.03215893302372,29.458106489730763,26.001117787825116,23.502304682691015,20.937879090776793,23.98010938138513,21.072062458570237,24.573955424908824,26.994672311156425,26.89961643156744,30.48852641368202,32.1666091090245,29.683178555507865,32.13192337005332,33.41846967059361,33.38706378852732,36.46890506859307,37.921770133234695,42.786407189933755,44.08172967550275,43.864944699070556,43.01794353345308,39.63296492604479,39.79879621727863,38.36462871161132,37.04718036231052,33.221672091251115,34.987178654385225,30.112139632022295,34.594293710576764,32.28449184352021,27.330584981907677,29.724912831671546,28.06437589117165,26.77615279291101,24.375893489446597,27.22593819708264,27.115514437869447,32.12000178456793,35.34216790282383,37.799494025217825,40.79439773831138,40.040883972289784,45.23164662729404,42.36477658984906,43.5450809889958,39.585575754701836,38.30549108401128,39.94813600048411,40.38903574416382,37.083775499374774,38.817553016115326,37.566134802539246,39.48240129444951,34.03969411964166,36.60223143984875,36.13247890882008,36.19529706722475,35.28868361641335,34.43222608057017,35.81992211136011,36.29977382602165,33.094308147975426,36.20935509186759,34.85965643496389,36.21030543615722,39.16775982323443,39.9157376660985,35.931167017986326,35.46684624268684,39.54263349936069,37.20319746000866,32.01502246954795,36.42886592331665,40.60599149394856,35.139382762010655,34.82655620692373,38.692240121559934,37.88757155125442,33.781153250138765,36.193587918709554,34.48399085996143,40.21990186002079,36.263056957912056,37.98688370130948,42.08237499156045,44.99705634997946,49.10438568700705,49.7373612624277,52.108517059073876,49.668518311729265,51.88290070557971,49.580322196972375,52.057179334152394,50.53699689053982,44.706130065606224,46.9957602717196,48.635881763483646,44.229381975151206,42.19920599769962,44.04360059238081,42.7611116497804,39.04263532115184,37.41354506396905,37.372449839406556,40.90599750720128,44.235412273121646,45.34520086844511,48.22796494040861,51.949293213245475,49.57788174696792,45.229215625707475,48.382793234390846,49.75574012267544,44.98420259226553,43.778699575517344,47.11693181035883,45.89228109366092,42.38080453416267,46.513525513501136,47.88385313708424,43.97621179450347,44.16125570164675,47.740025170382395,45.619711486240206,47.982968923175115,46.47600207423208,48.96310294588952,47.599140464317514,42.10624067236066,44.34927179050333,44.94480087697278,41.907591233342835,39.42613893359171,44.02728111709181,42.204375694935365,37.054856925097766,38.17088221824504,42.07545894839119,39.60669465887574,35.690993840862404,31.94750431201541,33.35269459333306,29.609469272653314,33.08768876276724,28.899584285077818,31.008146246399498,29.259941575919154,25.595024896102714,25.987461810073757,26.457666009181786,27.04800459775202,31.170164298089837,28.937831409128698,31.86985995072371,29.045708953068385,31.534619586515984,36.515163727923124,39.404515576615566,40.013596170350084,34.88108325262468,36.29997820834735,39.65779431724516,36.02590080598109,33.34809208217845,37.47671347423916,40.50082744775841,41.91916793225053,43.49320926792813,44.162911169482],[37.17725038781573,34.83085092365613,33.73648007757476,28.49251454977104,28.962208530885416,32.36123413215688,31.38693383059228,35.55273015816095,34.29053613074488,32.01096016203003,34.54306669503363,38.54659482938654,34.826078274745626,31.888328417606292,36.21875163817389,37.27976993803617,32.91819452472117,34.67582408681878,32.43298271040059,35.13624679633071,35.66462305619336,38.358826589396266,36.752918319270286,34.10269061626884,32.64707078436346,30.575298194494014,31.167169441236435,30.655426897330774,34.536679100986326,37.42217463851787,40.57633940970208,42.360521289929764,46.31243131018418,47.61522004693164,44.62960453102191,40.73409329588071,41.54532437822904,37.86049359971616,35.66608384316764,40.00055478630525,34.188696562741114,35.665303583315946,38.870213998428525,36.24936008694208,33.67718791981408,31.48231075961992,34.07133712510107,37.18177243272041,34.84914931587039,36.417350344281665,40.8779627031862,43.08539963175224,44.602349257572286,40.67362516825704,45.145818427590775,47.95880033653367,44.18523705239852,43.63299180964169,48.52351118482557,48.12714010151855,44.89994320391545,47.665614058103465,47.6504304809729,46.821628972237505,43.594757771373864,42.03674605273829,38.853511701595444,38.632256627900155,35.066897421771145,36.07674334318335,33.670207840415706,35.45900654168088,38.651263586192194,39.55506787354673,41.43112471944683,46.93031455294,45.17448589878129,49.551614192686365,47.96164773884193,47.57334880507036,47.129287738894455,46.623757611540434,47.0996677345544,44.74880543887694,40.31080833825672,41.10897186611352,41.44608307883274,45.03595343280304,42.93201941196391,48.24386036535677,45.48990537491974,48.31812339860248,46.470308690552976,46.42904845416455,42.51683941873891,43.821541855460794,40.169984015742756,43.71990064100809,42.73445551749468,46.59482337619697,45.016895184927655,45.551179329949974,44.18111605181869,43.57521073520146,43.65138236854487,40.598916361101836,43.50696172475258,41.047825459421695,38.809615598599066,40.18633587604874,36.49705186394557,34.1555976227166,32.55271162078305,29.301588042824,29.089420475262994,25.67011535424775,27.10862849023552,23.58287679565496,26.89523703943115,29.623593377148488,26.82402465832815,27.039011469378703,22.756022278969564,24.376218371320046,26.56709576356057,26.153799022574994,30.779672034430416,30.80730237683406,33.32770011086628,36.4054074101937,34.47564450171983,38.66154213383391,36.42577124953818,39.10851453492388,33.27742474696474,30.756879492864023,27.903884626951065,24.847569035180207,21.963285611838113,24.38883010522884,20.502249351279886,23.281279195949537,25.948392934029975,26.49675022708246,29.94683903751405,32.01056396057765,29.883235183410957,32.80278613335343,34.54837782281153,34.895088919676894,38.35688417585105,39.87782969445894,44.81583610208915,46.311585656450674,45.66077588820218,44.61137806569203,40.985448284222336,41.318450978072185,39.3639560022683,38.33127436418545,34.06887726522569,35.20277058230329,30.169723255436494,34.381623960459024,32.1512270526126,27.110935735502355,29.937556956591127,28.013138746022427,27.441720116961566,25.05120676025297,28.090706503134466,27.741511201251583,32.55968310306975,35.784895766103155,38.190300221238246,41.443420987839396,40.526925542130016,45.67437387309656,42.53522550297939,43.961429747313375,39.824401861937716,39.248701919730756,40.655756263487945,40.86490299490089,37.428905841912496,38.49537198671002,36.92210941348293,38.572581846620416,32.910515927246024,35.80561430836003,35.59945423863357,36.05547897152167,35.63616854822742,35.246006831303724,36.99661627776335,37.89810768969697,35.069722230387185,38.47519781439297,37.596847876599114,38.89598654904716,42.20889969183611,42.94202709112767,38.93598631102125,38.832326094017496,43.01187456142359,40.681016795355774,35.722650264894554,40.26102372574041,44.386062170760155,39.027532984833186,38.93285658344226,42.84579504176436,41.930422729368544,37.98673764942838,40.58849295522439,38.85268790686677,44.59001486077319,40.588720194373565,42.13238678235056,46.26801842648573,49.04521838090929,53.247695924891076,53.65885385881399,55.87944768009485,53.24912766780249,55.25164565630929,52.74294527678313,55.08984832293156,53.80964134786989,47.924307214330405,49.90272988348313,51.555515285761594,47.30332970836285,45.07136508877988,46.58655116622602,45.53907471510368,42.04856710811739,39.87661959438783,40.30794948995881,43.42809477930141,46.88160781508795,48.31971482340192,51.022768913007326,54.93455634894231,52.3316824307001,48.11759335388397,51.61609554680342,52.839847908665234,47.99382609590454,47.12925475371322,50.567102075625776,49.324889635525565,45.985876616472694,50.25143930137393,51.647319573972645,47.79595154810524,48.15573697729009,51.75516557103873,49.608115182533,51.798235368325,50.05400250965967,52.54885358848949,51.475011145593385,45.91062971183058,47.899393040135614,48.70541666907821,45.79591826178518,43.01991014097571,47.57013759410238,46.03304253144188,40.859323877930585,41.59748753801063,45.59896071061235,43.370818821873634,39.47529216093996,35.90603487687719,37.34015051396109,33.815189306820166,37.44753106526775,33.259264989445974,35.155088048647656,33.3839800009219,29.897534995480733,30.05153897174832,30.438268972154077,30.67269646895571,34.72660492899398,32.221346743324276,34.749526387713814,31.80490053901264,34.73675133238265,39.41431627005555,42.52924061817205,42.85974384852897,37.85177512639917,39.72121317614447,42.9579713945526,38.97041952269338,36.79801395690492,41.12775376445128,44.02453761826658,45.379398830262296,46.93122369492836,47.56700811279028],[36.44382608062888,34.031083233471314,32.75356931204296,27.397524450300978,27.512397849633654,30.676471486018766,29.3524325975198,33.35851777035345,31.990033762571098,29.43768646561181,31.88094670236689,35.89966905842986,32.02013287572646,29.072034012504037,33.27127586029962,34.29278151956827,29.882128092635654,31.520279950482795,29.218320006747344,31.95352307494938,32.49126196243953,35.257025705108454,33.68349985597481,31.114650508595222,29.599422275303706,27.420337903427157,28.05621380139272,27.542929192665625,31.43394822055368,34.40375343291092,37.461177683468165,39.35610512233903,43.27401025792269,44.48485976195876,41.524537495612265,37.5997983645191,38.52212992809447,34.79504746345864,32.67101325770527,37.13312101300903,31.293265261188985,32.60718602463664,35.88252240832249,33.38169137322639,30.90757145455706,28.880144556260387,31.605351304429526,34.51726195198175,32.21082931023443,34.07865129068008,38.413875629134175,40.614028276650394,41.98419032765153,37.9345211654501,42.42657085089869,45.16128892245472,41.3351890550098,40.68888230818703,45.55907929029589,45.217461936292715,41.86482928485157,44.5449624013531,44.474679090925015,43.67555637884997,40.47692054516456,38.877849969827565,35.64981463119918,35.41712736494821,31.86181152260792,32.92139806159342,30.533140285989383,32.38487640898101,35.51049502656528,36.36809460609042,38.22683137004409,43.71719239541691,41.965512516814044,46.344873244751014,44.787703974029164,44.45437083525104,44.07170550674898,43.6534211964766,44.210537247498266,41.969450937872,37.51152720547002,38.18292874895025,38.39420464790788,41.98570795226521,39.77672931231374,45.07736664074628,42.299757758485114,45.11902522140047,43.30963726519815,43.32428666100216,39.47141295873754,40.830081343922494,37.25294574920804,40.79179135425547,39.92423301058958,43.931910204261904,42.18397833953215,42.93504764372869,41.41234777761454,41.05842766773927,41.21917344566022,38.32824677137528,41.43248548373965,39.16238628327195,37.04639933580005,38.18666031936188,34.54852919733909,31.908414734509815,30.23344635098131,26.82579659861548,26.33851107843861,22.84562099169984,24.072228179016403,20.489202200614837,23.684927996786453,26.464499410022395,23.713372002623437,24.07020525213207,19.873854390362876,21.71928475657243,24.181797890824974,23.890041793430587,28.85530577735596,28.781598971055196,31.451386817362824,34.36903799170053,32.82819689159489,37.00889450696899,34.68386956583687,37.075240983209625,31.318388966785612,28.614181602503816,26.212181446376906,22.742218315083747,19.60969723337164,21.77971657583305,17.689740947668888,20.441993420406995,22.9301757899744,23.57481790779356,27.02157764478467,29.037593704559065,27.00119306599954,30.01144055525211,31.935956452687495,32.37612918523631,36.017626086375124,37.523781607104624,42.487201718180394,44.0822691800003,43.20964592771593,42.06689887389865,38.352230059830134,38.78958472752049,36.6341443098436,35.81439736819728,31.49099881016217,32.37356227863544,27.4394142168696,31.618764759607803,29.671048605959196,24.770254154546343,27.9145514823706,26.258443696285415,25.88612868622517,23.204110499567268,26.166636834538156,25.458036792900813,30.15460642965393,33.26176615121217,35.52520763100725,38.787247022008906,37.709159203855954,42.889739867165474,39.77581864344537,41.334310947780835,37.30258489115382,36.864916600556775,38.43675312642106,38.74199831954384,35.22223332060735,36.057300678489526,34.26677734519544,36.12576994087981,30.54266157645244,33.65265889825169,33.70153147859738,34.03564058006802,33.89167452546281,33.57931068729027,35.457342893333326,36.613395534695684,33.76442655945391,37.23130030676555,36.53109526608602,37.54037691824825,41.11847866242657,41.62787193486623,37.585229061378726,37.88658102875641,42.05192282823682,39.568179741063,34.914864166115144,39.59475725588098,43.50238508965719,38.19031406457625,38.38738263847463,42.3152036419909,41.17982520501985,37.45237748811415,40.358090918333325,38.69439949733832,44.40927263988324,40.71085543009071,41.9334003922787,46.054607383306184,48.88814697781806,53.05470687235069,53.479046612546554,55.44961000378632,52.662520039086466,54.49546234613059,51.75493585415427,54.20159858968085,53.17519304187714,47.166365293484006,48.96504057448142,50.88245113866876,46.75140620873968,44.29041788671934,45.74495202796779,45.08492735953322,41.61722082460995,39.01635453986989,39.46375404528851,42.14783837618037,45.68113144315541,47.16236441811053,49.64010226746661,53.58898734760733,50.75399154744866,46.69543321815289,50.36132875216433,51.36399701956589,46.45996312700558,45.885675863848846,49.305490126004,47.990587378453995,44.83828214760466,49.257117098258874,50.59680921473181,46.771810183822524,47.380967235263725,51.03022576468811,48.945557956513724,51.023738343535896,49.109209552973454,51.74448239790406,50.90731111324187,45.24889053780979,47.16895785064682,48.266129477442156,45.42610513367816,42.480610590459925,47.19821326553073,45.972385908822645,40.691030453388834,41.27602202585,45.538179829390444,43.569800442839544,39.611619217635514,35.98381922862906,37.838990803040645,34.36889382406772,37.86474591882829,33.43397165686271,34.927459560116766,32.90737069688908,29.78291349518597,29.836793897723595,30.46864395273639,30.369036134554502,34.178102109750284,31.217812181776793,33.49330203337726,30.278812616310613,33.381864937241396,37.80018018188895,41.04026491542347,41.100894258486974,36.19701065099353,38.393372011543434,41.47368041968606,37.222552382129166,35.45260895049685,39.93940019245522,42.70575402374912,44.01141929679807,45.56225565227575,46.20913572952642],[34.17976219857905,31.51743862944221,29.847887348129774,24.799880686487434,24.492661060083265,28.38616367145377,27.27676069760923,31.411284757352536,30.64540358917688,28.408173717845557,31.24082822630093,35.019833909551316,31.054263569598522,28.639297518189466,33.04864506449989,33.76812625640018,29.339569165737085,31.394935833642023,29.53974137597173,31.798518127194065,32.70509062375211,35.22954563410323,34.060193406308365,31.43100281610613,29.516073406649134,27.490846494396777,27.50436271421599,26.894634923564237,30.785948563240545,33.49525026820825,37.289927387185756,38.54807645826625,42.6982546439017,44.12047644652433,40.87423652009333,37.055626075612096,37.44028655572845,33.8466429710697,31.492426625840725,35.69325827112085,30.06891788942986,32.00984090751415,35.28988004146035,32.59091768216925,30.327676235989692,27.861808233974116,30.762896822875053,33.65920079440152,30.79451495698711,32.49634802922072,37.01857295910616,39.031675837189994,40.72745529890811,36.549237081300575,40.86222847603953,44.00914166707423,40.49328834908645,39.73636492169794,44.65862512269243,44.587139773744035,41.565594487593316,44.44301278608506,44.438355976302624,44.04085306667828,40.64290472158174,38.79987210947049,36.14570645135242,35.69679089090002,32.595249345814764,33.544900643751475,31.490291053899202,33.78737443280404,36.52525675948678,37.389260101621545,38.71833519420752,44.2811450575016,42.08511661553638,46.3531883894287,44.46155964882075,43.88009015244456,43.08096412317518,42.4117345714907,42.59491388225581,40.09276981771631,35.717581215834215,36.685339716130635,37.411803588818444,40.92813890872311,39.302290549894025,44.69990962128218,42.273948133539875,45.46797851706159,43.5728046412649,43.33122780587232,39.347216183079205,40.95858113154775,37.24783579203053,40.26338121553316,39.07414143621796,42.73797338362106,40.93729444113717,41.10745003783268,39.66916739720706,38.77632925519541,38.595125422585554,35.52887351707939,38.325767320493824,35.789347072341926,33.6568847739632,35.13485445621874,31.60431044039343,29.25525998510303,28.013602666276952,24.67318007065648,24.97562032217423,21.522293300655296,23.308347263731882,19.882284984788416,24.004535715570576,26.48374637540214,23.85983549124967,23.79589963774686,19.23911191577375,20.47251400478455,22.516041843857483,21.454706730870228,26.112368352916576,25.806656233860757,28.19117940634089,31.17159204544848,29.179613246671114,33.33825801737614,31.094284410529514,33.81048312344513,27.96544645261467,25.52576556778246,22.615743444784947,19.64127038489638,16.96103294367677,19.543597239503267,16.08793254238376,19.255787607191035,22.01937577321709,22.164197789654374,25.622727607833067,27.76101580079761,25.49248663182893,28.386459704239204,29.925211385307357,30.524196423879392,33.82634011748813,35.74420612591058,40.52355971173005,42.46725194771544,41.831597377201305,40.488903638661114,36.850066319341295,36.8326509805477,34.9768488297296,33.52495402718033,29.17788351916323,30.615433245116915,25.438742066393136,29.72205482283347,27.259333624837858,22.201860431310337,24.839996442479496,23.08713589478899,22.28201354708256,19.8060047586991,22.8077379381905,22.578470403387065,27.47914903503901,30.780319582097942,33.32817437911058,36.581568781667,35.958345467714196,40.98263455334158,37.79252507616167,39.041354023752255,34.8448632396865,34.119911700278195,35.45538279438103,35.70389719986731,32.3085402094725,33.67470151893365,32.343349423387444,34.08147647481598,28.55267808285997,31.23874307626261,30.92881291875743,31.138667918354543,30.565966805221297,30.035052094430306,31.73893203471862,32.6646390092276,29.799267625194705,33.239297136073034,32.496631310939534,33.76339168282242,37.21850033842012,37.98913816185609,34.009960681093496,34.062391877661604,38.31532773809539,36.10450626089289,31.304465505745537,35.910002499891384,40.055905496959824,34.95440695938747,35.029888611130595,39.006467561688666,38.18035572358267,34.4930469150181,37.22266158527846,35.3272627565698,41.02868435314347,36.96937273597051,38.15659797274268,42.3257109145523,44.94450305107187,49.234527516286015,49.431733814333974,51.4263014915548,48.617204054423055,50.44851631096742,47.79634994373276,50.10774886035545,49.007221199390166,43.06015226206784,44.87066167370336,46.63991659522513,42.48946098884851,40.094382897610394,41.534963773277916,40.74816075374944,37.30120609275884,34.80867926640751,35.32533872713986,38.227488952714985,41.719212020459395,43.280641981708904,45.91509297738121,49.92219454081298,47.27751107893066,43.08942131496396,46.777437799163245,48.013622984596964,43.171663378148374,42.443049782090945,46.04002238699221,44.91575792553139,41.64452044748228,45.9189927744319,47.47683265528471,43.83384242319965,44.15964048372338,47.70285668599582,45.44474321520655,47.39891646928225,45.43318621749936,47.89436799728127,47.10266750243718,41.48846236250437,43.23082073170388,44.25329073761155,41.480047697426954,38.43501175019341,43.01814733406735,41.82509108920045,36.58295619787996,37.03538020215339,41.253582896414954,39.34555732636495,35.4123458367408,31.91470255497249,33.74515201064723,30.448122027619593,34.08416105750974,29.768258865809635,31.22917173120675,29.54356235277055,26.317345372093484,26.07091048534441,26.467332878249017,26.25929666843912,30.148941811330072,27.444403457808363,29.720921774205962,26.857082347443622,30.102486679103055,34.63743469261194,37.86239215183915,38.26602564001876,33.333709582579615,35.42446001337212,38.76439477694536,34.817809129663154,32.91338806526289,37.29193877495118,40.32203170516466,41.66866888860441,43.21121543160779,43.89096945314008],[38.5471969260368,35.912722832784006,34.28801668490203,29.415475299874824,29.145919350683712,33.32509799470623,32.316692413778945,36.45793706262177,35.751429625371685,33.45203330369556,36.22816826718831,40.03200397260208,35.935132001269835,33.505970650013616,37.761458959091215,38.43477390657041,33.88716215009795,35.594990696163265,33.24658004053426,35.41963831257701,35.85294005581078,38.077849757772704,36.56181469980617,33.67064334923473,32.19938469164338,30.639755481569495,31.025085681577327,30.919242158928743,35.004250015317304,37.96277533667655,41.66513623892261,43.12265960333191,47.251862067126176,48.40806305194203,45.130065586348145,41.165053536670364,41.712781107643416,37.69894242434133,35.15262389297613,38.89745502650658,33.16062969901165,35.15112735886981,38.051552531740306,35.06522101531378,32.32774470576418,29.71746890075199,32.07973606402156,35.51003202900562,33.08679497186433,34.047356495157885,38.70577386281116,40.906515334773566,42.727481680584546,39.110333354394264,43.52988904516554,46.48406663284479,42.89357506204327,42.63808659340397,47.55509687964073,47.0020979393389,44.250372024294506,47.40597187469284,47.72083162832465,46.898537067981145,43.43378724190572,42.01247585991952,39.40476890944367,39.406330915570855,36.266739966440895,37.59790193503982,35.39861091643048,37.48300462013431,40.355949684794034,40.868263891750445,42.55710469009667,47.88257222595657,45.65963330177757,50.068198954911146,48.126225423615104,47.315096123943356,46.74944152677634,45.836780289468244,46.320301354191564,43.65071069869138,39.24093874633995,40.54458094609428,41.06906256829942,44.896724479793605,43.10275089598637,48.696189215346166,46.27799681850744,49.3956744751889,47.73919323608609,47.73066291945834,43.898110890047974,45.5490009662033,41.95798961115508,45.027457567295116,43.96543286206479,47.72011250463325,45.713789288161145,45.92283890814856,44.24951930779525,43.36874701248141,42.79478105559475,39.897760497071026,42.51649576608708,39.77169838504145,37.8412451527112,39.568610889183866,36.22288372538261,33.90154083564109,32.923356543183644,29.48118351027986,29.82789982790657,26.257049541819544,27.744875383537494,24.04372800674488,27.701957505053773,30.667602857877288,28.202307221196314,28.470825958237345,24.02702074286512,25.44805987588028,27.58284238942504,26.304674354695898,30.921252825709676,30.36677785827193,32.502141551568755,35.260684425970695,32.922042691853946,36.864152193324614,34.36525838505161,37.434192112553866,31.54888328565712,29.56149352252288,26.511393040942412,23.85696449717643,21.435866122922068,23.75947180244138,19.855004903227755,22.27429769068982,25.540199195293138,26.099225588878905,29.355712496378207,31.93056012896467,29.870048810033445,33.00716655758525,34.61814937565332,35.44712755015712,38.723311948028986,40.78320252332064,45.509782051742256,47.54972796402301,46.90086775803365,45.476912166003785,41.792588782161,41.684322367614904,39.721775179020554,38.113998282671226,33.50929265002299,34.79798426180261,29.366881950496857,33.37107360909769,30.495855368707048,25.228724552232425,27.6311126463796,25.204774522265765,24.74844206194377,22.892410099595043,26.103825718045876,26.301369237583064,31.114682047632556,34.57434588794895,37.30562760567259,40.75084665278094,40.31669739874485,45.165213382547336,41.688036081504194,42.89401016777556,38.37795834162613,38.0787062683995,38.858000812653096,38.71073364015772,35.39734413386944,36.552622531069495,35.35274523313268,36.45121147401709,30.667385996992813,33.21929735385625,32.69698419107888,33.46990928493919,32.86535974697074,32.639472507361674,34.428125908187816,35.29133923137678,32.87856960702531,36.429371984415596,35.85315366270143,37.56673012436879,40.859232541722534,42.01530070306342,38.13984647122046,37.83232148673889,42.16981358143757,40.289434904888466,35.24826707764646,39.67092499054202,44.122444791734324,39.1378841081001,38.92640338283101,42.90063317573006,42.390442080522895,38.54833279078028,40.91752884422132,38.84660539741663,44.54576720955184,39.91088480053297,41.42432971604369,45.63430768130868,47.96986882099087,52.40845756829116,52.32194101246276,54.560906412965714,51.83024944038846,53.71412717355834,51.27027159061939,53.252692086433115,51.97177397383279,46.231030920311724,48.0165273019606,49.32953739792835,45.166121476654624,42.98344883056485,44.187132821261656,42.985633118010455,39.76159647846851,37.49827053859063,38.447738492160724,41.66134842604664,45.093990115720885,46.90074803099787,49.7290476826452,53.838465802079504,51.400947592775566,47.1074378532963,50.82991954056495,52.312652767791974,47.54562494150414,46.655183409731194,50.38296988190933,49.40587790822131,46.0034138110244,50.09882066635059,51.80779818225682,48.24015213774696,48.274055026832684,51.713767291191694,49.306470999414685,51.23255329518167,49.313399909115674,51.50404083099119,50.62965605276642,45.147906252706946,46.70703397349676,47.442484177654435,44.7153121831869,41.670061382696524,45.8667583895613,44.46657652113156,39.42741567845933,39.737894378972264,43.5804577744631,41.51425245848385,37.74106512993802,34.56292244881108,35.7176493184988,32.602234317380244,36.599923549404366,32.73340664443147,34.626376838415624,33.40409119252711,29.777623349292227,29.430185869933496,29.300117232390804,29.3006222808955,33.47438022288852,31.353077808881153,33.61930726113356,31.19652847499759,34.53583323577406,39.154922184177465,42.349792823988864,42.98007642903282,38.05438821502915,40.00107620075124,43.49246788844636,39.726823493528,37.65307569848766,41.90880558716132,45.05899561506663,46.42136902714356,47.93290236712126,48.56944287731386],[40.45427744278447,37.78059183623791,35.986102971731995,30.98214873101531,30.292905851478388,34.207703955821906,32.73251034602034,36.631096782971184,35.7405005390375,32.98870468201124,35.55120544793743,39.39811566405995,35.010108235941644,32.528512055103015,36.44278075400172,37.04898601273464,32.376234032950606,33.62292774798818,30.821178587383727,33.001606091152766,33.07736524832889,35.214448757854505,33.461620842219695,30.52055324968878,29.321061712245925,27.931405573232617,28.696502965358608,28.955048250552885,33.16846434804239,36.434366578793195,39.842369107714184,41.65827536398873,45.68295286117767,46.496768396622784,43.27896453978835,39.172287877767175,40.05416722090766,35.687260636056926,33.14642487439721,36.81086210720911,30.925309119891203,32.62771177730091,35.36901152222895,32.394932794918674,29.449801289940964,27.05419691600331,29.244052783816155,32.73917794546384,30.73360145705006,31.704390414918493,36.236607642012714,38.587169695195655,40.20736362139392,36.787042300733034,41.34081654794529,43.98524042576384,40.21338628662704,40.16456067299274,45.040443901829526,44.20904311618278,41.39997536408117,44.58397360008806,45.024310449936735,43.90728617249509,40.4717710748365,39.31179763581774,36.61960265210964,36.94314543059413,33.776510795698364,35.45183653172917,33.175829040783434,35.148816571342415,38.0204416217833,38.210624898542505,40.16365675073839,45.27884198682552,43.100021246120825,47.60782523908551,45.72721290351408,44.87803700971258,44.61711540570858,43.710949878610904,44.56862479326973,41.99692971420874,37.51952510348204,38.81070638042061,38.94364348463276,42.98664941760477,40.854301493972805,46.53656963157651,44.0547042949604,47.05282504968598,45.632440538767916,45.892452323497565,42.28147414985563,44.003486886277045,40.635513368583766,43.76346054791075,42.99750799465739,47.058145942084955,44.680797885574684,45.31127864569151,43.25177674711381,42.82990499184359,42.189730528187475,39.663142531732774,42.52291187963956,39.97979935208641,38.3495049730205,39.8182483539369,36.63402989724698,33.84114702307678,32.86391161913577,29.121087919154885,29.02429273594192,25.28281202571832,26.214613784704902,22.25909991018846,25.33408178041005,28.71222247689226,26.458276778256387,27.180473624632896,23.004743374394607,24.881386640968437,27.479540609511908,26.307745099862515,31.439269260156916,30.618146852496334,32.8772530130706,35.26251353605252,33.37977134990027,37.20652202013393,34.399416156917304,37.1790641734492,31.380570987757064,29.334988391227036,26.952535271375933,23.77060823102537,21.078472558395347,22.82322456919914,18.263130763344446,20.072893211920768,23.40114700343244,24.432640310326164,27.536350235368076,30.32237147466722,28.565257649652015,32.003227483160714,33.96543388783362,35.06009420406666,38.62351954769253,40.69480328469112,45.448367924706695,47.64057311839777,46.628953801337566,45.046416201379934,41.199425150929336,41.24489183472461,38.88144609839726,37.57119566819414,32.71287513484742,33.45943670534669,28.037398373981542,31.797556968080507,29.152991645042786,23.972227428777366,26.81992642187526,24.41672682488036,24.570835163884087,22.56545463679999,25.7950680728825,25.623995410731833,30.18322480471747,33.542687674059664,36.13869868870976,39.72382596934192,39.10636006864557,43.91046968102497,40.297493013666546,41.72386204098771,37.185971302957974,37.40897755223631,38.137915881362495,37.90662677730659,34.482515919406985,35.057430335668585,33.53014000783729,34.55936648017571,28.703330380452584,31.597969157701602,31.41700118475714,32.37202521456773,32.265323462899886,32.38639320049918,34.46427683813038,35.73886726037471,33.54590920174864,37.26724505853156,37.06017128236791,38.53815389111719,42.1697882897241,43.158566709009925,39.26481056341986,39.40529899009914,43.76159752045992,41.78009054836827,37.06560435958308,41.625723784775246,45.888443747756526,40.98101443295228,41.05853942853382,45.05351438094729,44.335377472618134,40.699876977867966,43.35340952856916,41.33823061271459,47.02047700430273,42.59700962132112,43.82343811422199,48.031030306482315,50.352184275157995,54.794400589381986,54.62795200272574,56.62561895127484,53.70659041880131,55.369370326367786,52.67329636313808,54.65359961306349,53.66868257252472,47.83482166843561,49.3368750757553,50.83245927118442,46.84489192788011,44.41431536853764,45.40123863990947,44.5928109112271,41.51546214576684,38.69521046113593,39.889420848246694,42.577627198358876,46.11301661439639,48.10842933891327,50.68278373522318,54.90084044925748,52.19517371438004,48.09015629857129,52.0829814996593,53.336231199479116,48.5072601418126,47.98010168330113,51.727921967375984,50.690649525464664,47.502426210859305,51.75641215132607,53.42792979876328,49.89979106927531,50.18786807848719,53.67061683260088,51.30395687312042,53.08023510848,50.94376160128776,53.232222272114896,52.65062607951346,47.08321726971512,48.482446655151115,49.51087613933028,46.89151318230956,43.61317741856661,47.889373928569924,46.8323893786791,41.7244438252594,41.76570406707615,45.8145831899629,44.03859000331003,40.245309158605735,37.10574049707412,38.552897408896676,35.55824112809822,39.50230229000579,35.47134603457723,37.01547578930232,35.59789126630404,32.28858737631691,31.813593919543766,31.835646071249336,31.47569564373286,35.4276600314869,32.88223520513535,34.77820842647976,32.12928635885892,35.760162074033694,40.041226787033246,43.412401965391744,43.72164939770032,38.94646456840701,41.307028237115034,44.62111416348796,40.52621968889587,38.94886362777305,43.386431103251766,46.37754690870985,47.67589366837365,49.172618404970635,49.794644468117376],[38.09315108632594,35.234163364573625,33.01918833527965,28.153155341934784,26.76755039106361,30.78262236220449,29.02053191918204,32.74193926550226,32.118980179464444,29.2545217827331,31.92867304960251,35.59918051085642,30.97869591421312,28.875930891868478,32.71845402299994,33.05896432909716,28.332853898322963,29.6929409478746,27.13222190287673,28.995208653707657,29.354223225163352,31.416221109915316,30.01010966115337,27.130630205679868,25.5295291417542,24.11570970961876,24.479854278602154,24.70059965278574,28.932540576995734,32.1285878964217,35.91201885517989,37.4263354146295,41.55402585218708,42.396933550703906,39.02050885348988,34.95465251140364,35.60676211678999,31.266898063080735,28.64259886685757,32.2978057891025,26.495581835834148,28.452031699754656,31.306660375089137,28.3361256998268,25.67293345118505,23.15276115826215,25.717303689829603,28.93143663658263,26.514691412681724,27.81365381341195,32.34341229086643,34.55824441229777,36.215105798093845,32.495036109622184,36.97542679001083,39.83092994452451,36.19527225270031,35.922289763272836,40.83026659585227,40.280403344783636,37.51666304529171,40.724532538948765,41.12688878325814,40.35113323211928,36.808488830231866,35.40182414766452,33.06312742900173,33.20885181898289,30.39204367720547,32.04394782216241,30.041227150617235,32.39304304522224,34.894450098295785,35.041354121000516,36.583639278232184,41.74006873152298,39.25779191821026,43.68513004017783,41.61541036345117,40.67018278000681,40.191811219840496,39.227831365064766,39.930242489310935,37.31404902119844,32.85351887847367,34.19197098631533,34.519516954614026,38.51810764397176,36.657348590780224,42.388761048428414,40.12168072977802,43.36484425996834,41.92679402273183,42.075525772611,38.46193610208883,40.4123980965642,37.066937736154834,39.81160536731398,38.98350920873511,42.98085340218553,40.3643588857618,40.88399462606269,38.68545072253853,38.235360017600556,37.47100336267341,35.057073696573966,37.96371123767359,35.503908495593784,34.04235852439289,35.413393291833515,32.39836316884658,29.412231448238426,28.659993539236844,24.77284746312782,24.84883804829647,21.05872967888813,22.042808120220453,18.11335786129587,21.673411982033688,24.910189035418867,22.856629255300074,23.490974690165686,19.269422251019396,21.01261057897113,23.661400117162838,22.11883787058427,27.442135291411752,26.30738984702098,28.54399790824306,30.714844213580122,29.069651904115258,32.848820724800674,29.966076218355454,32.56386615141822,26.81230551241973,24.724936745869318,22.673236016671833,19.271056561337563,16.59646331932474,18.15604601075058,13.654416366228439,15.634867951962512,19.01554748234534,19.86059114257434,22.95201110183416,25.80783292449204,24.035979718722526,27.530841051803083,29.468856783696953,30.81080078605863,34.35729229524487,36.66832272941702,41.30044445522961,43.82536018701648,42.69776838864888,40.878016046003744,36.98950731119082,36.86523786896061,34.44521118572878,32.989773244811,28.027183587364775,28.797751555203902,23.313203651381272,27.09079788832973,24.44220357591289,19.29039879740062,22.27357896520292,20.15342686422028,20.34650027931232,18.077911487084847,21.245878859175626,20.907350993823407,25.430580908058882,28.776352355797876,31.385961429214188,34.98685728806226,34.47113429668199,39.2043512021667,35.567203283981314,36.96009466363201,32.43702140987992,32.66947069042103,33.448785101631955,33.306092491419165,29.83762403613192,30.455384754490012,28.942415709174135,30.18512580716619,24.428001671923703,27.35505281419073,27.286420296406433,27.982490157537477,27.976133283457038,28.068084380054785,30.216804990699064,31.696481304162685,29.481135449391584,33.2559630341442,33.26673933008724,34.51829077653248,38.39467689738446,39.25128481510211,35.38011581036229,35.88435176244599,40.23892113900157,38.247112988948246,33.87498740798115,38.51672512984142,42.61335545336643,37.93134386106457,38.290410678870074,42.29141063797452,41.4923623766617,38.17456049526099,41.060695127149366,39.02509474257574,44.62009486438377,40.408396604398,41.21502689451775,45.39694971935409,47.65861791131769,52.097491642881174,51.83052150741905,53.525181554355264,50.41611385524249,51.8641250141942,48.94071781847597,50.968231646371514,50.2607414206943,44.329541428140175,45.60929480264151,47.35737318262701,43.525405931139694,40.85096205853117,41.75581216312624,41.38073080801166,38.351979561364274,35.05491979347633,36.30274489118427,38.54187030764187,42.14040800212338,44.22759557406902,46.600064585674346,50.88192442656555,48.01018294699271,44.03883588774189,48.23414637555048,49.34642438123905,44.505862080175966,44.24980077321448,48.05778991463877,47.05055747192758,44.04086275951803,48.36843970293434,50.087548564420224,46.71926358400436,47.14112906996486,50.60136302483472,48.22764602000789,49.78876362735561,47.42797716737445,49.779758228530234,49.51483581397518,43.891574457246485,45.098292681589484,46.440145086733246,43.95867389198372,40.439993016437285,44.82609180129801,44.18015157701707,38.9953753856264,38.77503990366514,43.105069104010475,41.69535556956453,37.86428692722746,34.74835896652282,36.69564535017937,33.88376385056479,37.683103179563844,33.46701472084873,34.48750054478282,32.978091535213785,30.09726691465794,29.341858021345768,29.53044519258455,28.695496819426594,32.33022656779556,29.394184947778154,30.92883089139328,28.190890516745963,32.09945871642463,36.0753305184859,39.56979462173687,39.75341317031594,35.1328441593291,37.81361514812685,41.06290266098818,36.87029684246462,35.72230882670376,40.23481704928877,43.19714396058006,44.451649140610556,45.926413793851296,46.574150438311236],[38.59168075345106,35.64096580343843,33.340364581188794,28.85791045335231,27.536577074158586,32.293607900564034,31.035966631760008,34.976213800695085,34.82864162604228,32.41985365398255,35.38079332933515,38.90112163727018,34.397551128333966,32.59041363921931,36.65664891386444,36.871747314472174,32.20081927222412,33.8594957401589,31.556243110255558,33.10406227993456,33.5772047970733,35.34416805647254,34.0934825360018,31.084012296531565,29.42904455698968,28.31738897712133,28.339874385844542,28.575522233015363,32.76987966703803,35.736177031177576,39.99874313075377,41.06001908993864,45.33500267299971,46.344011658209176,42.78327622035329,38.81235004877909,39.05132469398106,34.80017057993204,31.955238876894313,35.146033286928336,29.583497824523945,32.09071425423817,34.74830456657825,31.49969715052997,28.8036743410644,25.819126361630943,28.148151695610412,31.657057733443587,28.983642834056496,29.586665875206087,34.36626385544371,36.48183867935572,38.552495687869346,35.07266883991997,39.37701466920785,42.517038845972486,39.167837352413,39.05254265730698,43.961887533191934,43.41940239860172,41.10123206436679,44.55814701398489,45.123297692981915,44.476405007248914,40.79862303044775,39.388129922293,37.45477683414953,37.56344634643258,34.983242768401524,36.562485288520264,34.688555930186595,37.158354990561776,39.559524759901436,39.71351941691045,41.04267191459666,46.18414798868456,43.4523422814698,47.81296958106874,45.50967261770052,44.31039107549912,43.55943824977583,42.29025998311255,42.726179507260184,39.804868606511214,35.46193949665812,37.19763083191317,37.93960220009568,41.91780764019696,40.50695024658933,46.307626073159916,44.28711175240932,47.72624994197211,46.24729515858475,46.23278278297161,42.51909133286193,44.55458302485398,41.079782087774824,43.55059671450789,42.44132390796007,46.0904094032574,43.58122401927277,43.52447332786081,41.49426947552433,40.44138678992544,39.26004533858567,36.626607096055956,39.04693147730742,36.16005590001968,34.64462720866215,36.55336375537682,33.63974618911126,31.184367098947575,30.853500254560146,27.194794124986423,28.031718941933484,24.378746948356593,25.850963518264557,22.113342629555845,26.145679058185472,29.185976968901002,27.15148867908002,27.448971385939956,22.991321281630693,24.194338764720882,26.315764057907426,24.184117107524187,28.886722386363093,27.64711545176195,29.4355262220563,31.721863800671052,29.253138338162387,32.91553318703238,30.11031393079016,33.35140680090703,27.502315810466577,25.97649221217415,23.06303638411779,20.63178089322107,18.67915021802811,20.7013207124822,16.93559694927274,18.99258662144728,22.696603786280424,23.177407138930974,26.17068749977654,29.17552128059558,27.228980630784886,30.545901305994448,32.04766422063654,33.42277476493775,36.54324161139417,39.14578732596598,43.6053933604252,46.266460731467525,45.503284501540456,43.641990071108566,39.8970688098446,39.36622063524452,37.333343908600575,35.232907199787334,30.311862725762897,31.67035211498294,25.960362489619886,29.70612914778776,26.324584757853266,20.96018362764294,23.0383444813026,20.316807275116645,20.05724068212317,18.572931654011175,21.873661252315348,22.445018267023055,27.13547132873952,30.739210198309078,33.71102827404484,37.30630180001337,37.309421932379884,41.823900863106246,38.06889446272789,39.087667659792196,34.294770593908886,34.29835163662675,34.55838049168611,34.14564032792638,30.920954831599598,32.109810068387205,31.224632923121145,31.94615240829543,26.15919105350995,28.424842136466435,27.7161850233792,28.64051971344764,27.984264778022336,27.934222827198674,29.833583528737208,30.847759356456866,28.83007966651036,32.556000570863105,32.43926878571906,34.31572995346384,37.78514813611662,39.17314717298969,35.43557299033907,35.26462698006357,39.71254730731409,38.17829574213576,33.37240204553417,37.75376067561266,42.30335425875541,37.79096755227629,37.72017901855497,41.72903655927781,41.44195272891575,37.936171061705046,40.317725134683386,38.00036574868788,43.58421330045027,38.6593099868207,39.810428085504434,44.045753330651635,45.985815611130825,50.600616783741295,50.039174625502426,52.04379524336271,49.079971318883324,50.68648742096019,48.10948966895017,49.8218226850001,48.77394877792202,43.08144753179334,44.51190154012963,45.73776657284785,41.785579041266715,39.44473251443187,40.29275855276164,39.315548494306476,36.3789018665765,33.629506109195844,35.09745152595585,38.006870552600645,41.47019585898316,43.66537858488394,46.41901708075724,50.73546122123064,48.29017326948621,44.06031876059815,48.12259943336592,49.68086653115788,44.97694937437222,44.297851423159074,48.28075732646158,47.52249755378111,44.23242883724369,48.252865594934946,50.221223835438145,46.99105585755654,46.905005608734974,50.20335202241938,47.60571113856862,49.15517804890583,46.92235428749118,48.922591067257905,48.465010621766496,43.0142002785643,44.07203093841268,45.00454874099411,42.5407652553493,39.08921104862205,43.07339549833094,42.12235550239066,37.143730960745636,36.87821916150819,40.80588419914687,39.18075577168888,35.489055792888045,32.66741506022835,33.987667532436475,31.37057406887546,35.52136417581172,31.775155008852934,33.24048994136661,32.359884880757605,28.991523320324276,28.04546257889598,27.638303012574735,27.060230005238484,31.059803297447452,28.949586611627737,30.694538852355365,28.63995601985744,32.49361533358778,36.79249846812941,40.13420936894201,40.86987754099138,36.1597061024859,38.41368924653736,42.01263317901018,38.330191773312634,36.684341667183375,40.932193043994886,44.21091416133135,45.537646167821386,46.999486052898476,47.64916789928099],[41.738109137942125,38.875739670932326,36.76312821619442,32.28393613046436,31.2539993923212,36.02283996156675,34.88296671373271,38.87915739411106,38.625259035943365,36.20217494116974,39.087491785998814,42.69532431526997,38.21132797239544,36.239362261890804,40.26222964514559,40.55926821571258,35.853828311876036,37.308031815210164,34.6977675736713,36.33047912404678,36.48455634423309,38.14229993781028,36.60857179579963,33.47618202904252,32.180475364916575,31.280559493080673,31.62806551470538,32.09168200272317,36.355559626787915,39.463903708443844,43.524945343928735,44.80304604772752,49.023751546367166,49.89278486000328,46.384299254959274,42.332965575899685,42.74861367047745,38.30387229120213,35.42681186346491,38.41895086891393,32.79529322256983,35.18714250409564,37.620850353850074,34.265825254574885,31.262976802410062,28.306941379615314,30.21146741784861,34.04378073465367,31.77703644595053,31.91433510993561,36.7060216209882,38.95364380070849,41.04565338430348,37.96730727927747,42.333389163092306,45.271762865785476,41.843793302954886,42.048727400179786,46.92296107949284,46.04421404799,43.83802586151505,47.40243324838536,48.1282410567576,47.1584644748871,43.49994656106113,42.379805825275625,40.33731998901122,40.714385196450955,37.992173128875734,39.748112560250696,37.71474180035361,39.961768992358124,42.54610207898354,42.55484866367459,44.19069927485884,49.20457756692732,46.57437912049011,51.02429645879893,48.77408260304531,47.51127358716624,46.961548630313864,45.61337275758431,46.2603304116951,43.30451813495005,38.954461977061364,40.79807698137862,41.350924720340615,45.4802443803132,43.87667746531035,49.738340617095545,47.64005108264747,50.950493700393515,49.59025897785733,49.726598757106636,46.08580515457451,48.057308397896605,44.62980864213013,47.27327214372001,46.25524801625453,49.98618692571745,47.46515702285265,47.49686392475796,45.40492509903135,44.40594611817901,43.120802286373326,40.54890212681845,42.890347955776654,39.919490195702366,38.44556734511398,40.45750247595362,37.56467379151696,35.16770011250987,34.827780906375864,31.17472644300028,31.901887166039796,28.212498705717703,29.51205312611465,25.64880849939397,29.28279694717077,32.578873935636345,30.533946801665802,31.012770016982337,26.620383661047,27.986962063778122,30.165936678220756,28.154377907035926,32.79968500868586,31.599271172417836,33.31614445142366,35.56370831298491,32.93000978799715,36.48215524340985,33.608840415288455,37.00795385001273,31.188796790394328,29.84987721838036,26.854940112821097,24.58366294109701,22.66427243968718,24.601505968088173,20.601196342170553,22.260740887435137,26.091428143720734,26.83979199063594,29.742363900042886,32.88189036945772,31.046482868578238,34.44650171679722,36.01520030584803,37.38727078845906,40.528041132331374,43.081751238887776,47.57260913421585,50.148930693692236,49.40154751744835,47.59141838076365,43.83373838660778,43.350508297778795,41.27061379437302,39.20269023119813,34.22706978499218,35.46276173379583,29.715767900073004,33.30712061127088,29.824579667731886,24.452516907989583,26.408542800512766,23.3620551075071,23.308056935909832,22.18130190633514,25.513641700400836,26.24449784599703,30.839449313919804,34.468465704641325,37.47369842402002,41.13406795543893,41.15273804765984,45.61264095974444,41.75318760390516,42.78148926167202,37.87781726050595,38.09220479134583,38.10484296083724,37.487266586225864,34.334682866215026,35.35281653296263,34.49338700919175,34.8472061859573,28.963790662887412,31.162467922769025,30.352311559071445,31.636446550636933,30.983928413442662,31.11213181100901,33.017425637415585,33.94152880969114,32.169815115278645,35.88622137712305,35.77570236167286,37.88957351612543,41.19124819632182,42.768826517483475,39.08233358787455,38.65335131722351,43.10912807905149,41.71093671049875,36.71828856108502,40.977013422324774,45.68414663022898,41.1477405661511,40.86822928217421,44.858965217759774,44.71922505186809,41.046566874302925,43.20029928369649,40.83256088704531,46.425237399212314,41.20756727203044,42.6428440721289,46.883577612891045,48.71233881215687,53.37455114187251,52.721915225264226,54.93190292722688,52.07910269234828,53.77279323203859,51.37462602289402,52.91192970994399,51.69692070961553,46.163284411311196,47.64393479919124,48.56648771357621,44.585775830955086,42.4396384986367,43.192947821166364,41.88612070627798,39.06945731215139,36.608867676420886,38.24171831342033,41.404942749950315,44.799208795226406,47.06263481713983,49.94965259827423,54.27442527903608,51.974885766120586,47.676134678690815,51.67389298545774,53.37199679087704,48.71378867407958,47.88610058161866,51.88745856090574,51.17576300680319,47.78276356632901,51.699534159722376,53.70535051717288,50.45188896139949,50.20823301925668,53.46591137216128,50.81753620774355,52.42570286996873,50.296509875436804,52.15305955509537,51.55439036156636,46.20114671106295,47.24292124663168,47.938537348459874,45.46013679410485,42.11255722951986,45.86157464835505,44.68123518128745,39.85543663602053,39.61914056773488,43.24407626132248,41.43249067673784,37.85900476320393,35.198039840358845,36.02152230965336,33.446633474347934,37.77173858052863,34.31194266890344,36.135076023608505,35.463329499781075,31.80806171075673,30.9471486984173,30.28056121569325,29.97326233752577,34.15719543025495,32.42438350586967,34.27739829890671,32.41487953773498,36.17957334105193,40.59326028076256,43.872813471711225,44.722241670857976,39.97279127076665,42.064172015287,45.72680603736463,42.13425985347142,40.28579231512642,44.46258505332834,47.784521624600174,49.12984695083174,50.58839303767082,51.207531354964175],[39.353570363619866,36.50413149893424,34.47868463433503,30.20550505099752,29.45409200020146,34.46963296387413,33.73882409887976,37.906207044154876,37.87051630793289,35.86796633977238,38.94683753943556,42.470319589864935,38.253012765415185,36.387637780392765,40.69521990759251,41.02452248586811,36.454547121794164,38.34955638369092,36.20680965399328,37.82095701640837,38.363204495952345,40.13776372325752,38.87858107318968,35.832844177350125,34.217964009040834,33.100008154292304,33.05212561684926,33.13683220394344,37.25225327371062,40.044054778775795,44.40088155979397,45.30389881121692,49.62006049216721,50.82541235327448,47.25741231405219,43.36260200203122,43.43720171315902,39.372820932151676,36.5169452044112,39.626872712735064,34.179525866048,36.82633157042596,39.458832266083014,36.14505832011746,33.42459837839188,30.314014297285617,32.48327671658254,36.13376234108922,33.40468059602608,33.67756637037399,38.541394105065464,40.60073171629328,42.853453633002914,39.49785199741959,43.70578176906694,46.965480601883996,43.72969572610195,43.657386798656134,48.56326588905025,48.02936087174947,45.83928592957531,49.335447011086785,49.90172858655337,49.276555741622786,45.59622901333136,44.17033150723388,42.21808275155853,42.246177810888305,39.57841850499457,40.99438901241554,39.06631488904258,41.46007695750165,43.99932887520718,44.32265471086736,45.655509559256025,50.882679269316235,48.19386970198832,52.527780995182084,50.215249101390306,49.00956637171512,48.13635837187143,46.80917107111097,47.058940240375804,44.03837977310912,39.77210333080824,41.58756398851085,42.53542823314913,46.41820495436863,45.167448966872,50.92110938944762,48.901935314062754,52.345146746735544,50.74973601244957,50.61226759097355,46.7674131855194,48.69235540420052,45.06877863246108,47.60145007907787,46.30010812892014,49.719764213715216,47.534802418418025,47.15420243730613,45.43253978528897,43.997209338387876,42.790397557439064,39.87401935814064,41.9809507725181,38.84421256620507,37.094431932608735,39.33183580839673,36.31889693247349,34.37199142468998,34.060562829505976,30.708727084345114,31.86109194925435,28.360963479632776,30.163407698246004,26.571114000526894,30.75364194375945,33.632960378502666,31.41941587619651,31.47550733719031,26.87884768917338,27.80630649626844,29.541806414716145,27.399184046505038,31.52423629215333,30.547352475576936,32.125685534087765,34.70573612687296,31.674216671426198,35.324557111291156,32.78586627134796,36.413110671338984,30.554330724361485,29.25893218604473,25.67145473096416,23.92898298231526,22.303073593465292,24.73952594985198,21.41852308997661,23.679627218833346,27.366770301313995,27.642501607705334,30.68000324150709,33.573003971096576,31.457597367314087,34.54671706334,35.769788760168616,36.905011296572916,39.75064372628868,42.311015257862955,46.73731296336782,49.20537021655798,48.78788257709467,47.10377927778187,43.51247203139662,42.86736628258284,41.17457167247645,38.827005277672065,34.12755311787678,35.87711594606102,30.178033354146585,33.99844361590773,30.366831622341934,24.98954927366058,26.525677964850516,23.586043504363065,22.87163078693357,21.845562059143923,25.0962649922943,26.139922219280116,30.93781687644732,34.62208617691967,37.72416623948952,41.218799432540685,41.406952587921516,45.89659799937478,42.203951940223,43.01919275883605,38.190336772165445,37.86385587951352,37.974670939582474,37.48867337092439,34.45166590639242,36.054348390102675,35.493735407126074,36.012834824189326,30.278597236667473,32.16042869178623,31.06227474538559,32.061303971424884,30.923400926813983,30.661886353598316,32.25668512400937,32.77563564713228,30.75678433457167,34.28146204152501,33.81708288890965,36.12281549186369,39.10703519466019,40.823660525586995,37.17381398199608,36.352901113723114,40.775604090839735,39.48529498161122,34.24472547494571,38.35907426582877,43.21569348738374,38.6664086264924,38.14775546075809,42.10591017753398,42.1671241830171,38.368987360021876,40.26781374372326,37.83701923563356,43.413222341670064,38.0167928359016,39.659978207983265,43.89267336600307,45.71937429755816,50.373647049398905,49.7860202931127,52.181905618927075,49.48738991450325,51.36654407945264,49.184958750354134,50.74188753389618,49.27508954870365,43.82052693462561,45.55561129457541,46.346239160149686,42.21052681035984,40.27892584493032,41.25445510790365,39.619161000967665,36.64953501134182,34.69684789514773,36.06770086635034,39.68746164550869,42.979597195324686,45.05145671514562,48.15204832924116,52.36391266442436,50.30608762129245,45.85448508769122,49.601630966462146,51.49658907887609,46.910356047849056,45.770083371672165,49.74991731413268,49.10456051031996,45.5422770809724,49.3026015162067,51.34979379236467,48.09801278640034,47.62555635361363,50.827334215244655,48.14105242718363,49.85528944109094,47.90749030048536,49.67634561190971,48.84067204711504,43.57213530455377,44.7390129494872,45.193538270536415,42.633625695921,39.48376400935905,43.16989070003013,41.7127069106325,36.945629431003304,36.93899004878148,40.402805098761284,38.3585184888727,34.796866813869975,32.10878971819477,32.71552509406231,30.066372435162368,34.430198843858385,31.124662156137493,33.19983231586139,32.735505722008334,28.85347848358327,28.046719821584297,27.225689162347813,27.202130588692384,31.551320342641237,30.207029197901445,32.364488155203595,30.734274133538925,34.23028004975907,38.902937682894816,42.012976964093575,43.15316591940714,38.30722591057575,40.035401558995446,43.84562054796484,40.57629033183043,38.333290317448004,42.322434593191545,45.783361680006074,47.17632940846491,48.63751503562274,49.2751236740234],[40.02709408614215,37.42706496184608,35.914820937269,31.468241020999034,31.49314465108803,36.16650424515628,35.687883350289624,40.0031954522335,39.64045396392387,37.77634120085083,40.75014652569139,44.44148035320413,40.52091686870938,38.27236350886189,42.717371163360006,43.340746068561685,38.857354314297865,40.79877842501984,38.627946968672326,40.61978887011045,41.12389184365789,43.16156274722371,41.72121508287608,38.72201287933584,37.24142537275905,35.88098281238024,36.05622667612031,35.9459638751918,40.00032537191378,42.77756874389747,46.80311046557383,47.934878767084065,52.16669299467875,53.48086411799312,50.08265322144151,46.19209778487561,46.44085771826133,42.51898703345846,39.82592481865435,43.24922771718827,37.68435605088267,40.04730636404491,42.809808321406756,39.622788812775156,36.83883395146514,33.918365253333874,36.07352617996266,39.73380050367449,37.16508390258135,37.586810106805075,42.406975218960184,44.52830121851035,46.65821583967908,43.25466845900887,47.541460292705786,50.696709706292644,47.31297117484832,47.186924465916064,52.108775385578674,51.541178386736725,49.11046704114077,52.44713938601678,52.87775234327208,52.123776051267086,48.565780987061395,47.152209572341135,44.78875745184439,44.76363856725698,41.74629923869505,43.0053151611506,40.870362394685806,43.0039228273764,45.85212247298444,46.40100507009409,47.97032001931599,53.311017436981395,50.93839082965686,55.3085366031614,53.21313679077192,52.23223434888245,51.467915913887815,50.3401939339764,50.61105958106115,47.720597882511576,43.409260904762085,44.98950670216226,45.82131077113299,49.621383135889864,48.1470145552775,53.78249686329513,51.517590403295706,54.760031308583386,53.04870661253035,52.9067371005728,48.97679552880953,50.646076059794275,46.936782843946034,49.84895850842644,48.55263026991474,52.002062716666714,50.17497432718188,49.91289347916468,48.448375967213074,47.066498041199914,46.218881323953546,43.10723719213712,45.289091455785375,42.202694924174,40.16914290358445,42.34251510335526,39.05598147028857,37.2660793499809,36.5679972536252,33.39052944719364,34.2887161522451,30.855383869954203,32.69405413511059,29.127202605121187,33.09246738321917,35.92638489523556,33.44611221343398,33.46431018424574,28.876443829256004,29.896892078469055,31.582067842890503,29.951444315377135,33.93291572101326,33.40925547593023,35.16499430256297,38.063029085165184,35.03875419135965,38.84823770338474,36.52570744669281,40.099951585937625,34.215222564070345,32.67580583058512,28.939433795194326,27.13536272690806,25.267072353637296,27.90598046496056,24.504839421637044,26.96359630149035,30.44059374545174,30.76295274591267,33.96108351933845,36.614932849899816,34.417889232195535,37.38612270114419,38.64381492976083,39.41989216675507,42.31724382861843,44.53357012285721,49.11337974946477,51.1549209984979,50.870788708580406,49.48977294253633,45.96160627623473,45.55925884106101,43.95531868891878,41.87194079268023,37.37956458803327,39.12724532229917,33.57067297158872,37.55323306190643,34.17264461776052,28.818980218017945,30.515647623171308,27.704415867211658,26.866977929556555,25.660557053144334,28.868752085664433,29.738024553005268,34.628310977925395,38.24845626404921,41.231663629548734,44.63676070310997,44.5870503816614,49.27751217484279,45.74600533345752,46.65205058498091,41.9662321520298,41.4349567366117,41.82727551455995,41.47996134644369,38.40545629543905,40.01912854299537,39.30106899432385,39.99914947269773,34.23627484173707,36.266009056852994,35.24007823884815,36.183521228747274,35.03643619999295,34.66199948331124,36.161114131992335,36.528180497011846,34.28361879208973,37.66221386074342,36.86249082810608,39.13026656349277,41.908541347526686,43.53497907564129,39.82681309656879,38.80361896405112,43.13080925095153,41.6742075917328,36.22294789963448,40.28396087651831,45.12016894433718,40.27886813910078,39.57182315465139,43.473665421254566,43.46893501308536,39.40283186064403,41.164360948019144,38.88584914849291,44.50370131733156,39.215274063000315,41.20833735219326,45.400754054709935,47.451582534039254,51.979887934639535,51.699447244714285,54.33179325349205,51.85795501325274,53.96803812124402,51.960447616305544,53.65056414467644,51.952127349714765,46.53705726860308,48.5504472367365,49.30358608126636,45.014095556716356,43.273002622525745,44.48758203420182,42.5921904961833,39.4540091287013,37.963995441512864,38.990732767852364,42.910929549098384,46.14469757196458,47.94675427571658,51.15220591637525,55.206724761409454,53.231660034867005,48.707190254638775,52.171523966353085,54.081573267515815,49.48725278017102,48.12651089264279,51.93228871133892,51.17188854736562,47.49172246140886,51.23271348868442,53.12299171506182,49.65780395791164,49.17826504072946,52.43888970662226,49.86588381947493,51.8560993584742,50.1784723472581,52.01424478038117,50.82829650665479,45.601516132795574,47.109810404465286,47.3305707617649,44.59008558008356,41.78598553751358,45.524408003990814,43.6680351605741,38.94111605510838,39.36470377611003,42.647027075885134,40.22932962799804,36.67387604342651,33.80529395888449,34.12137993791258,31.15271705160915,35.424834392256734,32.182636830811866,34.67014303243605,34.08002195965667,29.94609036088858,29.576071089033405,28.855927640506682,29.329726594491028,33.81864188837283,32.62135693479442,35.16235013524744,33.380685523876664,36.480939216149515,41.402977225775686,44.36957620164297,45.51472508369596,40.523590757231766,41.95177536016057,45.7216632269767,42.490467080424345,39.86847426899141,43.78982000453849,47.19180485452578,48.61357856460335,50.0968953064565,50.7156196240691],[36.95921682220329,34.57190225664308,33.50854011452509,28.89024857755895,29.6373302340285,33.892654810819685,33.687961967901664,38.12250007925712,37.51679794354156,35.933431754514885,38.8655107629769,42.62332252917314,39.11949379529436,36.621711390691495,41.279421574973455,42.165712570089006,37.89166338623343,40.133972813791424,38.323251852385695,40.63216816310182,41.440128829972636,43.858727832278724,42.53031504875016,39.73192003548659,38.048821023355664,36.2240911137739,36.29072020908365,35.695427260737404,39.53250722127561,42.07123258637399,45.92065986902032,47.03193133854835,51.20214490937823,52.82013130404666,49.579983354140374,45.830533081793035,46.050215636460386,42.571776689059675,40.12406961142896,44.04598775097589,38.49974788695038,40.66951806583529,43.77246142662675,40.84900555091951,38.329957660703066,35.58996117642178,38.09663445944313,41.441993490988736,38.6504757875026,39.63196292177663,44.376749460126305,46.412281779660425,48.40663464864065,44.579506122370745,48.83863058562349,52.09081080873784,48.66984272764447,48.15889383074952,53.09860151181728,52.85484833526212,50.0832566070272,53.117819829863706,53.22435685206967,52.68755112579315,49.26438092802042,47.56201744015435,44.88285548623859,44.49495055420663,41.25688335527967,42.100924358051216,39.920374484291514,41.976536541884336,44.968634590999386,45.95691024601169,47.43807186988704,53.02193731591988,50.910938809015526,55.188602158924304,53.287663429210546,52.62929532886319,51.75315653062649,50.92791912829127,50.96450145478995,48.260950405788826,43.96124146618962,45.16445138156827,46.09747978893678,49.5931477831162,48.11886703191022,53.50350623919781,51.06668858123624,54.20657571937993,52.2236560432954,51.88641710623853,47.78290203428575,49.20115227538261,45.33781327520162,48.479889379270695,47.060634676851656,50.38701489439884,49.05478699829956,48.775509731577806,47.740237821579164,46.30626304638994,45.986150660730914,42.56495699883316,44.85035525944247,41.90000636618721,39.47228178615972,41.49214192079481,37.8729275504048,36.31411821383885,35.18276642009347,32.312030204811045,33.086822450723155,29.868014991293148,31.974986781867564,28.679474343044014,32.773579580684036,35.20210013365287,32.42764126811692,32.14606348785468,27.546424200274256,28.407488251614936,29.848609598982865,28.723507869015116,32.416040872257646,32.4482508349544,34.4284189032982,37.75778179563627,34.857718281486775,38.93038788545773,36.98767445476779,40.36105856728338,34.48091889082605,32.532099865457205,28.639499601833663,26.777099524344745,24.719826841324032,27.709364176747577,24.665113250773274,27.70019337748753,30.73678925806835,30.78666454338358,34.20285770784082,36.38076921686562,33.97438900958749,36.619880958442046,37.77146087943318,38.0754703377919,40.930712105428356,42.77182343443723,47.459902756352456,49.056313674192545,48.96888701596474,47.92167686553044,44.53478287565132,44.3438864560272,42.971437283597695,41.13282591575876,37.03509904786301,38.96266968183829,33.69522445271782,37.968882036055994,34.97157710313103,29.74552405968355,31.60011564918465,29.248440567409702,28.012991283325377,26.372375678558093,29.423745114292938,30.01468559360469,35.039651060729305,38.5252918007596,41.326657118080774,44.50639122615351,44.20320599137118,49.13267365020158,45.93655458113319,46.89156199702409,42.52241658800447,41.48797645306529,42.43039056091378,42.44310961854152,39.31149638315349,41.1628107816937,40.30901616918321,41.53492049605795,35.89987485793464,38.069894622391914,37.168048786030646,37.70061767807559,36.477638402891166,35.77149547724351,37.10060631986026,37.32250965521727,34.5803071772017,37.747977867684476,36.51327832913004,38.518008637902625,41.16348403939202,42.50444523877692,38.70156236512557,37.64816955584063,41.83426720977023,40.05866358157918,34.53152918582755,38.6278761505326,43.28192210425949,38.12128132117666,37.37869138544001,41.2272005421189,41.00690685284477,36.77807881001012,38.59642745540838,36.54936580120269,42.21458793300531,37.36370607711154,39.48194824650471,43.618934602656374,46.059091949003374,50.384161456767956,50.57091071570822,53.26874771712257,50.95007723736471,53.250071982176635,51.28321760757361,53.30626460537906,51.49602788233825,45.979596817991975,48.283413761241746,49.29218422028167,44.85075828388471,43.15368355323031,44.75686045641791,42.87527796704589,39.41356611455082,38.22083165144889,38.65179361427325,42.705099750211424,45.91229074276578,47.304187974112146,50.51037223630228,54.347953042260464,52.35630135228237,47.81484645257735,50.97189748496674,52.77401600725333,48.15016623962567,46.645468127629265,50.21317479043024,49.27885303338357,45.55259786862067,49.35296182413333,51.01974278394832,47.32919822987618,46.98310549165125,50.34978335584664,47.96391106640505,50.22712685675158,48.78087787877183,50.83354579336966,49.36489323444329,44.0982380466552,46.037216786474566,46.211271905058126,43.2683320243268,40.786301940758705,44.82414473489578,42.72664526213028,37.88870504816068,38.80836039659685,42.18611721771926,39.522554161853414,35.84373282858797,32.58068711158361,33.091428205744556,29.68114499900478,33.648733353233716,30.160873763796523,32.78514137082966,31.838147178147846,27.672334805875103,27.76122545338964,27.430969609624853,28.252466324353335,32.72354136453368,31.379964622304115,34.30172606751019,32.209359462160954,34.85025744877896,39.96804368136902,42.7845131612447,43.86090227455796,38.747746579816635,39.91494534563562,43.58055258129012,40.36917951164391,37.439086321558634,41.31368168598663,44.61536028327724,46.06298720957738,47.58254216708744,48.21618029266204],[39.19149621543036,36.91814139025462,36.04072429846162,31.752411049055645,32.76853913954912,37.206817473717315,37.333304886145704,41.834620488710286,41.373899685922346,40.032398383280984,43.02161293541533,46.72867547340571,43.3518273469713,40.90347108637747,45.62891486165937,46.520129040750575,42.28265640717222,44.586288931012746,42.78452578560251,45.03968109146196,45.80662587265468,48.1242289534354,46.758367385433445,43.87757486691849,42.27176888431174,40.57975201997492,40.63032548744927,40.08654913604828,43.925235068854896,46.40669534601961,50.35156027311407,51.35741415909593,55.55703700685645,57.23182156819997,53.95416820041541,50.225638054778535,50.34330685521628,46.87229599640547,44.349034998064944,48.084204233592935,42.59633452271512,44.9134189025117,47.91101334846438,44.86668368361171,42.25210364307634,39.37348973305887,41.69813361910695,45.22423301177001,42.45159693588601,43.08437392434485,47.90947731692866,49.93594926360959,52.08246346636804,48.44143461824498,52.65247913337958,55.95989761018891,52.61581875779159,52.235400344592826,57.17467887637684,56.85138323248202,54.24789597262837,57.39016202392467,57.58178853210077,57.00100000501168,53.53819233821832,51.902475644585785,49.29556500339655,48.95375562679328,45.72618115860122,46.57116847658199,44.37761384257227,46.38740852309432,49.424489032089355,50.40792556080222,51.91454144072096,57.48460113919774,55.33957906575526,59.62152260924425,57.667008857579944,56.92206724163158,55.99365596257202,55.052794298626054,55.02667222603644,52.21010281683176,47.9564785950783,49.31198339401051,50.35179216979893,53.86391286354236,52.49641177398955,57.91043424598509,55.51883620162116,58.68043623112501,56.688270085484085,56.315759841568585,52.17896075247398,53.57209340631699,49.66358219195284,52.77861374437529,51.26162690203916,54.43329291697041,53.224998758067116,52.7231892254742,51.805340101288614,50.12515301720985,49.661698463367664,46.13970783214314,48.165289684952185,45.03105927702758,42.55167280293123,44.818916960391626,41.24704221836469,40.002673450250946,39.0083272510173,36.297464795369734,37.30475024747669,34.15588301294709,36.36995666096166,33.100779770083676,37.23260204612555,39.66739420979615,36.88768304229459,36.54006628127326,31.917777418111008,32.634039145200745,33.86318761816363,32.61060138550627,35.92306139738352,35.99528774811465,37.7489913124913,41.13264790539818,37.85595642007932,41.81008654302006,39.97645550721808,43.62784119450494,37.78535022052248,36.10884167141607,31.888761261429398,30.49444499200588,28.71789250294678,31.798186682993087,28.901453176927706,31.85204114857891,35.02907059003346,35.042061732393265,38.411729262561956,40.65989186026257,38.21812766708902,40.79629309484406,41.78510664772369,42.04724107624578,44.693488407414165,46.57354160772155,51.17231866579273,52.704063896702074,52.8350453402689,51.85260860896979,48.56589534644505,48.24564287185108,47.06094407464898,45.00337175019691,40.97197784746279,43.093297653486715,37.762524042582115,41.9914019748341,38.73387776806227,33.467617999393646,34.966220177615526,32.375193841446695,31.009277933772825,29.76476650521784,32.80109358133363,33.74180099781869,38.767736683295574,42.32975491541746,45.25590301258199,48.42000891724037,48.30682539004463,53.14657418158703,49.91213051028466,50.71846347733742,46.25125142330886,45.13512686010435,45.8361239721062,45.7104174712861,42.723662315009086,44.76844889690127,44.152759525140574,45.11027240900455,39.46568278746194,41.37144407683983,40.20474583937259,40.88936920291228,39.39626415319205,38.64569908436038,39.80793925580153,39.728748901610906,37.13615560231012,40.1607416206466,38.78197468344507,41.126196191348804,43.39139729509703,45.022812879367756,41.36087201681731,39.828255850437785,43.94820477974255,42.454447878708656,36.69873263137676,40.48076566104257,45.341587257735064,40.291827348575744,39.18740007931381,42.923478273389605,43.04212115310486,38.66530785021666,40.00134844159028,37.86663826520333,43.40532859157407,38.15972282315938,40.67044545750527,44.737747836705644,46.985158503090275,51.313644563246086,51.41121388423052,54.41399727845708,52.33022439007252,54.804715458442196,53.17714568267408,54.99438270948222,52.87578608272162,47.64016239064408,50.11040085120916,50.70977772113742,46.202172487875096,44.852747275226314,46.4611399598264,44.08174758525501,40.70989459275684,40.107220032149016,40.57094623980349,45.07903055444938,48.12422084832716,49.483659173189366,52.928575208897804,56.69209399720773,55.02417608431832,50.35529340448245,53.289418934168154,55.36395923176458,50.88219036990092,49.05637241773024,52.62359756658531,51.82184980369168,47.92613576915928,51.452739352175975,53.202707490921846,49.57420514214312,48.88184429942504,52.10587224026731,49.64527044570561,51.98023382998766,50.75340921444432,52.552840928918016,50.8234820662474,45.79236358057473,47.72553996345737,47.498321200975624,44.547410293972526,42.31692513361868,45.98760398036009,43.51653266422497,38.975955442089564,40.0254024067708,42.92424562353791,39.968462074551454,36.508593555912675,33.50426010958256,33.310422949254686,30.016787727656418,34.098581047786475,31.16676720636821,34.252590970459806,33.74775166102364,29.27183018835037,29.420979970811434,28.689202287493167,29.90497433112123,34.52582806123277,33.845706364678044,36.93223467642519,35.255890063682386,37.679244170516704,42.95359750929727,45.5851148870468,46.97242447107817,41.84998405443402,42.642184350439535,46.44036902802145,43.59230136440558,40.303635931482596,43.90783031682023,47.32029842381173,48.794577364550726,50.27890471685257,50.87879930845381],[40.16694526156392,37.55493996678489,36.024433457797315,32.044220182273556,32.1418378050886,37.21446624944834,37.13283115660809,41.521336783242894,41.53165819930301,40.042856071934324,43.20422543224659,46.73022530948182,42.945989204167404,40.958570355882884,45.5457556500639,46.06598786006017,41.66516060874329,43.86696840792165,41.97192217248204,43.74845322039271,44.438710745274946,46.338304491461216,45.09287473726525,42.06260344731486,40.43105373253683,39.16937381045015,39.035798291046895,38.844719208401834,42.82457545609925,45.379447021501505,49.7674123860533,50.510447439781494,54.843172783374335,56.33623899377989,52.81054556958021,49.031783155817365,48.94062974025158,45.1870820909417,42.39315166032945,45.578211618611284,40.236752481315506,42.951984569446786,45.664694730973316,42.36457458435098,39.688898283949065,36.5209006741666,38.647957967073886,42.339456966172094,39.50213124877898,39.639976651484126,44.54951386358415,46.52628240619129,48.9063948267689,45.551666855901615,49.66088143297784,53.061605766101984,49.91955496618773,49.77804717096297,54.69086195941885,54.256250545915,52.08272501515019,55.53112351093214,56.00374573804564,55.455799765340856,51.80898724157099,50.28618286117657,48.21117889965657,48.059904429481605,45.23548651622112,46.376425758963805,44.37979574504699,46.666332240276034,49.388923889279795,50.00449667687548,51.324819412726505,56.711227930258815,54.145242267509964,58.43140373880123,56.1687454775585,55.053081813752556,54.02963899030666,52.739077251414535,52.73608778715471,49.675119224840316,45.48956165074639,47.26671357062419,48.44041176241038,52.141429558974735,51.042759243552176,56.678986303962525,54.60545106974494,58.019892374653196,56.22684368807141,55.90949401469089,51.88539022117338,53.61798339521671,49.80716385767341,52.46797964956508,50.93805092437259,54.07092559485854,52.379582549371655,51.66082719582172,50.391685406518,48.55376903852644,47.48675812539819,44.20237608242584,45.99711440464523,42.665491905622574,40.56458744755648,43.07943885691647,39.895212795215045,38.56146926952004,38.144514933961716,35.21760998754723,36.62342421975225,33.34772711520765,35.51453873421366,32.1294840054076,36.47064098688129,39.093435576237034,36.634318899982986,36.3863316520148,31.69170321624655,32.31706223487952,33.59732742509062,31.61871385504995,35.02508928494172,34.49203563012422,35.902440471854476,38.88052728754473,35.34982502058097,39.01452460636914,36.90602362191657,40.82403197446889,35.02004352807906,33.83978330137977,29.613881654435446,28.53309590592162,27.16034142920684,30.028351438000435,27.177593375286026,29.76506508315942,33.32072089862349,33.3484876366027,36.48931508820401,39.140723550129565,36.81359532699504,39.58599821902699,40.502952893631715,41.252869812192394,43.78421819501643,46.16966149377933,50.56298983010175,52.67245723064393,52.690599785928825,51.30399801873866,47.93192306568807,47.2362122428615,45.96700730369628,43.45629365229202,39.11831048276831,41.287140171682736,35.69671241741581,39.66457320624598,35.92996820302713,30.60481776232688,31.703804516422203,28.751340577870714,27.521216473008064,26.78890963939923,29.89017964140482,31.261434753264567,36.16176050300556,39.86213711294086,43.02240773222896,46.33964771679446,46.63406121263971,51.16144808000042,47.639838105252885,48.26622678176223,43.51265969513717,42.70918263766061,42.837949947471834,42.391938585275206,39.544236837936765,41.609025993742804,41.31342760319395,41.79779364552927,36.16739945269007,37.7359121657184,36.31975760776585,37.25498874975301,35.64045329433357,35.06860391785189,36.27613761084645,36.21881630175728,34.07975721189246,37.25254447624615,36.27285250066211,38.93405103634533,41.281511947597835,43.26043791453664,39.73378289441199,38.17719279422161,42.45228058478895,41.3687489746392,35.69586154816299,39.42130657647286,44.51208859676257,39.89471084766618,38.83656768566631,42.64694558354967,43.066705662661526,38.93217292401684,40.21384501967671,37.756442695010605,43.237979215198976,37.46662162931101,39.74568927540907,43.88893392391927,45.66746135085614,50.249544484552786,49.78401471195957,52.66625651721956,50.38242788218088,52.63430636015252,50.962871865611504,52.423684085480595,50.4307082175027,45.29924703000727,47.46665668516014,47.80853884652159,43.459554332495806,42.06306782017391,43.296852575450295,40.908791299265616,37.85099406282856,36.974706788161626,38.016244107617524,42.43054896271594,45.47596844456499,47.251800821785785,50.71963668976877,54.70575611493974,53.10599085423145,48.437974962868346,51.68810274686563,53.92375057901083,49.504728264504685,47.80226525754175,51.66348996636182,51.103252839808256,47.24782419629894,50.675364334578376,52.7269489412323,49.41624474602947,48.52487582122765,51.604677399751544,48.898007182372204,50.87785667222487,49.36668749538132,50.90545600768894,49.52919430147744,44.53982302042701,45.95686179089983,45.80606848327148,43.100781764140265,40.474967801926766,43.82917160405619,41.68239023794279,37.23602834200925,37.71043636635584,40.55810367585448,37.93099286886004,34.5754704985256,32.00226882912909,31.714991176691505,28.954173751513473,33.39285250163148,30.682261592978268,33.51608537438384,33.46882451057144,29.063345086768813,28.592811507056325,27.403928537885182,28.17466039047227,32.80118699386495,32.33417177527543,35.015812383761386,33.78374743377279,36.686883358068044,41.757540645685175,44.52410896505256,46.08175592040807,41.10910523852824,42.14677948539034,46.11637427351043,43.35483764164116,40.38631351682438,44.00455652499846,47.59787398402583,49.05234918312664,50.497304126974115,51.1057687716132],[34.63985915539534,31.92975978593516,30.283278213032336,26.276575435875397,26.34719256849789,31.431836856908774,31.446327564986788,35.86264356502905,36.007230301139764,34.756025937171785,38.03418246623886,41.43494680885242,37.838930198645585,36.015818843966926,40.74849268322778,41.249654327003476,37.02093190931067,39.60601327385219,38.25133950931827,39.993638385361585,41.15641271121813,43.26142684094661,42.39029434538535,39.575699516324306,37.504865542936955,35.89466774255072,35.32637921129172,34.689054511901766,38.44576654518902,40.676338630641254,45.271978392144504,45.67537432842406,50.046190459322496,51.83393348793139,48.30211992766783,44.7136792017331,44.34404083981561,41.040783049346565,38.38306411702509,41.88670769295092,36.72220497145319,39.52337454885595,42.55474840841067,39.47186419745425,37.24620943473509,34.10918521792033,36.74550952574949,39.97890131563311,36.63325876194371,37.39350675258833,42.23898834225236,44.01311680641235,46.34757988723474,42.45015344783405,46.4194049250585,50.08861345836043,47.07785835787126,46.45850112503288,51.37800906689594,51.440581141122706,49.085505257793535,52.31116859432447,52.50354560443773,52.414024797535795,48.80182529127939,46.86375790185468,44.86191115585982,44.27626152987565,41.585732937685236,42.35670750018153,40.55966244457674,43.07695615039914,45.60591918648385,46.536661828507675,47.43837233929383,53.0221098541177,50.41570672954193,54.53102932852461,52.26079719747495,51.31098562156077,49.98740423766211,48.87107527682682,48.49604372635444,45.52948724277447,41.41643755884996,42.957762536791236,44.438278148154524,47.81281638691665,47.007775124861055,52.449066755744774,50.45040358734442,53.984737971887604,51.961208265377245,51.37411324535666,47.206991342691296,48.92860335863399,45.00247938970202,47.4831168270857,45.755714036600125,48.66794655817042,47.20979515473169,46.27906694757446,45.29776310506201,43.274984810862065,42.490357653911964,38.9696757047914,40.803002876268664,37.56066409077956,35.2131989721641,37.64268298178565,34.30317682970642,33.13694157817717,32.623796984253595,29.91271426529881,31.54423425208126,28.481104302919032,31.02933680841731,27.99544019549139,32.82191203902584,34.938932866911316,32.4033793281327,31.76818519171315,27.00586289860116,27.242587226136997,28.201275451478573,26.19720722742772,29.3430024677518,29.019565365309006,30.512142237598457,33.76792618626151,30.32394318489574,34.217342214758254,32.41027877484723,36.14902210332894,30.344519400947647,28.87836190219534,24.47752557850591,23.475106394636857,22.18304650748304,25.385995996902366,23.207426636198342,26.409136689170392,29.598087645481336,29.15601719699016,32.41865637079255,34.691845540135354,32.14602311063017,34.60480511199363,35.2971407555162,35.837938246096236,38.22437870313019,40.56277650739123,44.92026363780777,46.98445396793587,47.12453476338,45.80105851689627,42.54082034766815,41.80094819473006,40.76771652612985,38.21666451170109,34.174814776981655,36.65606747520406,31.281621824849022,35.48571444464839,31.97069867833242,26.79790570360519,27.89021253184433,25.475451341273605,23.72062329445599,22.56891794874011,25.494452051457266,26.727237355007542,31.748221150797956,35.353147033067316,38.42219498018997,41.53150495730903,41.78765294087265,46.408009846501976,43.156998966362885,43.72471384800821,39.2369206263937,37.92603568369022,38.497938570894206,38.40911603126632,35.52723752125296,37.96346182370477,37.683182687905244,38.70981113204525,33.31047255273488,34.890580945886605,33.56122057224373,33.940631494698046,32.192294906623744,31.233703536106926,32.28462545567348,32.16470186151797,29.51871701289195,32.5815594095469,31.342585060666583,33.72507784884298,36.14897003952762,37.87258164496246,34.24711081892305,32.84892607131191,37.109869660158985,35.79131486572884,30.172140341478407,34.07365250024836,39.02304971678146,34.28977179725305,33.398052863553744,37.26906829391936,37.50537395534195,33.44547258552346,34.99207806428316,32.596855583397236,38.17409247290987,32.76968360017883,34.79298800267872,38.97823773659265,41.03669674516335,45.554655136060816,45.34372337639945,48.03486616824456,45.662024757630874,47.91089376141625,46.06233924413252,47.84707301733955,45.97039250576571,40.58672267291361,42.850010871036496,43.6184007314534,39.19514390134933,37.60509896467724,39.13418729649944,37.07163736963232,33.694369855925196,32.678747658485264,33.26897085419495,37.57922664992387,40.684040484218514,42.21874764830961,45.59568850482221,49.499759872653776,47.77228007218487,43.125602351927846,46.32139808736529,48.416558692174576,43.935291975181244,42.278704937372495,46.07260669690813,45.423828534313884,41.60984662508243,45.16888384907019,47.14204787560545,43.77720496594143,43.05250128381678,46.22813018912778,43.60007365794964,45.62092514086202,44.07182549769308,45.84305663495072,44.505159407157954,39.34585233370006,40.9505703290303,41.03299886482223,38.236963183156945,35.58351074175506,39.35545957235521,37.354137136395096,32.61188435357997,33.26372512471098,36.542819912282056,34.009186239840105,30.390182613582347,27.40658902751849,27.818115175267646,24.758428047823003,29.0019221135862,25.773833414254213,28.31778690109097,27.964746727395756,23.721628509918425,23.275338076954196,22.45647761971038,23.111084820644162,27.667701154787082,26.829269260928122,29.646219629275716,28.18418132491006,30.97181636733584,36.087097419262555,38.84438757982563,40.347069769656464,35.33730775187868,36.38223150595671,40.32301586647087,37.55064873390884,34.59016966484881,38.253947220884555,41.84314888170238,43.31153392109697,44.79054220120168,45.45467436961323],[34.91373610007864,32.56931231674047,31.62422149698157,27.665287491547943,28.765116825490836,33.43444925410917,33.91656096479302,38.464225415794154,38.358260828564845,37.45273540479942,40.64283797417657,44.12965238016711,40.98908610667142,38.85229824449008,43.7576953761003,44.553550107117864,40.506079597563655,43.24287977349967,42.00650243956766,44.074912445740324,45.29354498281297,47.648945449066964,46.68178160086449,43.92762678858438,41.9151646517891,40.06038848946228,39.60435361937515,38.708344820728506,42.33041470987545,44.42756650588177,48.75999163108168,49.25236285267767,53.53801173520558,55.53667084394103,52.17046291915951,48.66115421553762,48.351050171562356,45.31649774073259,42.82816751386336,46.611032457426845,41.41072278844395,44.014277423014384,47.189464709124735,44.224810009485196,41.99411703373075,38.978202152357206,41.63185473837373,44.859242082210294,41.56800596843605,42.446178797938025,47.27449656457764,49.064232877973915,51.33666899844005,47.355727701716944,51.34290902804078,54.99504321982548,51.9093325660204,51.184876988992144,56.11400041786439,56.230742226835346,53.67771260592761,56.740131626901146,56.766574656515004,56.65443862082353,53.15332183692232,51.15419887597083,48.8128838950065,48.08511750803403,45.103204099663465,45.616624026575664,43.672130040672045,45.964739249919006,48.755042671098764,49.99127656399167,51.01815774558666,56.74735582395622,54.429186612590236,58.5261010510485,56.44784708168165,55.723863398885996,54.41066242300042,53.48349662209924,53.014528850901094,50.159110218870694,46.05642975419833,47.37196837285999,48.850151283750066,52.05873242250996,51.15804543018504,56.42739423598871,54.23250800754804,57.60073811027745,55.397297834267974,54.713655440107686,50.422916425944486,51.85991571985166,47.811301874316044,50.603335365767876,48.78942692468473,51.5747061417019,50.623907860333716,49.66085529349477,49.082984210689816,46.972930286287074,46.56987271428653,42.783938504277096,44.56835911999109,41.35880083424786,38.665912741092065,41.081023322076824,37.482735626976094,36.68086740844879,35.80407980494108,33.440712982349105,34.933024209535134,32.059350701987405,34.736623159678956,31.843276573141097,36.541575877458875,38.48397476067061,35.68434278367985,34.89265061106888,30.178181838181718,30.35583071224518,31.075167131345935,29.5995271805095,32.29783303633326,32.5349485790606,34.10687677247927,37.72106207832687,34.20733594829795,38.195478028756206,36.74128260267915,40.453629220602444,34.717730850535396,33.08375989360502,28.475879682622388,27.619134656863896,26.22911174881824,29.645382109667036,27.568915440985165,30.980300036182253,33.950512618267624,33.45833079314051,36.85243643753731,38.8291249095577,36.16650254488965,38.38135193369418,38.98012471374752,39.07100522231863,41.35013747967186,43.29962082515489,47.72500735965746,49.26848107870972,49.695660996594555,48.754078414629696,45.66679683794296,45.11644346178174,44.332000923059454,41.97212920898606,38.282157578773855,40.882690336627796,35.714594120602044,40.06836546232483,36.758515183926065,31.6580155492391,32.77147578702972,30.485479248344138,28.546729572525066,27.324070938327633,30.129419834691376,31.2724281476335,36.33798060456914,39.85604980632158,42.8134365365814,45.755749095354346,45.84351382582278,50.618612241975434,47.595037530647865,48.17270366425148,43.87284412470129,42.22905673354144,43.07039681901351,43.13479804873346,40.2892480426017,42.86533320759667,42.53239324069303,43.72453741931911,38.346086010872234,39.96436984241727,38.62164144933892,38.91524573639993,37.04902065068128,35.911200610632605,36.76463798240383,36.364753314325675,33.499024380616966,36.26753844280624,34.57405565286373,36.95457504912661,38.95378801506111,40.62140112359377,37.0336219755728,35.250160202030486,39.29020000326959,37.87909623443562,32.02995846686463,35.68104779636113,40.59246639939022,35.61680749003452,34.379273075913986,38.08397018988095,38.36360293071513,33.9883371995158,35.17070623699182,32.96515479237508,38.47829536414674,33.18081764932446,35.71994810706497,39.77329146755729,42.051401393001726,46.35807576763751,46.530996380460316,49.56262245393502,47.55581334957539,50.124871687212824,48.60526765147022,50.50589858269521,48.27559135704285,43.06871027939932,45.71395664831394,46.34960150253865,41.76237711536541,40.5201221709238,42.362119371811076,39.897134573922045,36.35469535118216,36.09585806020683,36.212065252344345,40.95638170115741,43.89547835518861,45.04056318408173,48.58225839204584,52.21853879176227,50.71962115829891,45.988664346723375,48.714209778862624,50.900288007817686,46.510304252977896,44.48374466869657,48.02063452851512,47.291696691864594,43.31361886585072,46.70875565275075,48.504790867740525,44.947102018286905,44.0906113056654,47.256362719940725,44.76896445762108,47.131953020274764,46.005154358699485,47.77088051184659,45.93094311542979,40.95324806913068,42.97439731704667,42.65593601426932,39.66060340755309,37.56508821763099,41.27130714654006,38.69638796072903,34.14724534730655,35.395255946530995,38.29265806517157,35.24943574559232,31.742980065895708,28.629419208958915,28.51619801218356,25.106445482380636,29.138420056931327,26.200853363960565,29.350358179142443,28.99375334573349,24.437318401803612,24.591477715569308,23.82619964815799,25.22556818488046,29.85170592517954,29.425491462517886,32.70514682398363,31.242784916914044,33.39407283566431,38.77897650998091,41.24405698547273,42.86931120051221,37.755472242056285,38.26304166237905,42.162524093718105,39.649085793692855,36.1239194358294,39.531447098586874,43.06986727160677,44.57691512927121,46.058209704757324,46.69440315723348],[37.27953791322521,34.776736835334354,33.464393278915125,30.038322994957454,30.60847006855059,35.84181228092565,36.39516104863342,40.87571420919462,41.219021998010625,40.372976700726205,43.71421016160545,47.0240972876651,43.68822488976672,41.92051656540693,46.763258474617984,47.29681831617092,43.169289202482865,45.87853414466446,44.59649925311714,46.29716836617005,47.45129193364398,49.457413468248525,48.56629084761473,45.66757694326649,43.67265805493096,42.18713019297799,41.580950914084994,40.95023884914271,44.65829916441969,46.754070547507695,51.46407695164568,51.68612055330983,56.081558363595164,57.9986867026135,54.433657615775154,50.916225375045926,50.376674078271996,47.17374005070308,44.455852821316256,47.72662831737663,42.69768215662955,45.67618252122771,48.59110864785182,45.385433441329276,43.08046301577867,39.78424438043737,42.199996869416836,45.623590738254954,42.2771430385544,42.603082912241774,47.522354525939775,49.24481705789434,51.78291659200752,48.11110961376949,51.96885897470438,55.73848428288071,52.86778693063633,52.37381370070238,57.27423426818538,57.288947608586895,55.149348891785564,58.48528349373497,58.7530428333808,58.65697543196044,55.00467380915074,53.111183390412975,51.19222010491095,50.612778039640496,47.921282946048755,48.633030839355754,46.819168885236316,49.2780419044389,51.87786296036781,52.86372611581471,53.76551490084203,59.36194403216046,56.72493570128954,60.8175091530422,58.4855120398576,57.44822406488474,56.015655526316124,54.76877935949225,54.248108162278136,51.148402073698506,47.146147218992795,48.85367884471897,50.5151536709121,53.84568446902947,53.22603511399292,58.65793214985824,56.72476094645224,60.28925925336802,58.21306934495707,57.53602824631974,53.30280034780598,54.96308646159186,50.95598265674107,53.396235356836456,51.5040810826875,54.13941102411229,52.93509289553545,51.64869428650393,50.914387946711436,48.50770755534409,47.57208097220801,43.88788742829178,45.29554757900616,41.81727319357082,39.36798330909081,42.1407515658079,38.88368723887997,38.26062663795763,37.908227716185024,35.51834512622547,37.447924676574736,34.544267566761086,37.2516002751446,34.30535513423162,39.16774754633197,41.23568071771887,38.655612114099796,37.89373352046368,33.12655706922597,33.15532425695785,33.773877967762694,31.699655929589376,34.17304625710637,33.99465687413241,35.13291925083383,38.476859795023096,34.51089365063555,38.17376011808795,36.64061704497315,40.73212132940279,35.09412832941931,34.0246599242646,29.199724495475575,28.93145796064165,28.03690321873807,31.345128358642896,29.42500746595885,32.5385690271154,35.83229767942685,35.313867453276025,38.509564331785604,40.79406756284118,38.19085400819944,40.47953190847816,40.90371230622358,41.31261325205954,43.34389654202934,45.68344150723593,49.87262715464729,51.791969698032254,52.293398213743,51.1050564601902,48.04035249413658,47.123990747903456,46.42360712681281,43.5855412026191,39.75317014335707,42.52796350028178,37.16467930501078,41.294327633617804,37.49091902183885,32.366347467378056,32.92372411064506,30.269013674719858,28.29491449076157,27.725583815354447,30.520453288566095,32.21169775878587,37.158152414063345,40.8048925709779,44.00241400945198,47.01960408223453,47.53707185082716,52.01181906651594,48.778985625905584,49.11052661070713,44.56652954409763,43.06031762280121,43.32761861027394,43.080291098971756,40.46251549064439,43.2176574272864,43.29128115834244,43.98734352691197,38.660860007019444,39.834728690905344,38.127015790696646,38.66038347290652,36.491201035572544,35.41525033904954,36.1397082144204,35.496183529217525,33.07034710113488,35.79631293217343,34.274981968395366,37.14334445564318,38.882274221914386,41.030276017519036,37.678904989537585,35.50866290883728,39.58574308528301,38.72157686272608,32.80752287653588,36.131540940576414,41.35106780513625,36.83981467619386,35.368773305932955,39.012764381217806,39.79283837593566,35.53956509394399,36.292064387972104,33.77629925984406,39.09459403601261,33.09104811006747,35.74284778966672,39.77562594719206,41.51747436740028,46.00876991989148,45.67312017792938,48.848664837265396,46.88401597636063,49.41909760846207,48.14378492989002,49.61478611806215,47.23347979103047,42.34680394603126,44.89792128426207,45.016729363522934,40.50244051638389,39.51674667432307,41.09536177461845,38.22280792859907,34.9872336640666,35.033724506129595,35.58036931609107,40.60421741009561,43.39658549851469,44.80905233865032,48.544588456844004,52.270709825639514,51.08423544825212,46.27235589299411,49.04367576940197,51.55589869533895,47.34291390661675,45.168133960969875,48.91115062636437,48.47321040637873,44.41717309175072,47.50441057978017,49.58989673994167,46.346703458287486,45.072474244323274,47.99676905844622,45.27057545746576,47.40237237448776,46.2356081350041,47.59515451844151,45.8252464042316,41.09122768055299,42.70183374470083,42.12025638189308,39.32138696947291,37.136423354036296,40.287439481191406,37.663873645248806,33.45261102745628,34.36284855940798,36.815418339506365,33.788683999977756,30.558819803376714,28.024916689107222,27.239801901960245,24.3935652377907,28.784534433563064,26.528688817933904,29.80880747837256,30.181673944600043,25.509478730272036,25.198131582129665,23.73463915615956,25.092237130859935,29.79379534451957,30.074540136621444,33.14794937841887,32.35680269720426,34.68184291189577,39.98899408814853,42.39709671309247,44.379187096191615,39.40487867041195,39.81316431705674,43.91725991268676,41.756599560205956,38.241122785717025,41.43120168986649,45.16768829843289,46.668549925323084,48.08560614775074,48.69959680901828],[35.462115816755855,32.73904491405739,31.015138483042453,27.73529106867269,27.773545511736636,33.30723772234152,33.76110535367661,38.16285167477242,38.783089538616764,37.939516123381274,41.38305806636156,44.54227419204629,41.08437739312396,39.61404852417763,44.40664621179186,44.749348402425426,40.63092386716167,43.414881952763174,42.30213915074428,43.75411114607036,45.04959441392263,46.93327276443599,46.25141335487199,43.390004346646975,41.22048734569147,39.80592858805171,38.94727880203047,38.31418515703732,41.976791450264194,43.97403663168852,48.94654979407395,48.92008686044167,53.37421909074502,55.302123223962006,51.632313734874174,48.17760939187237,47.43910983759078,44.28969225850369,41.513974000069055,44.6378880708364,39.77585034413996,42.95398493561526,45.84907789333798,42.63352310447222,40.50007814105031,37.10911445889985,39.63140202235126,42.91618957460368,39.350172909062486,39.71013986751462,44.61559567532811,46.225063376799376,48.83657765558502,45.08430016400679,48.82367977216363,52.72844224699072,50.011022450823496,49.43381996956654,54.305982080200515,54.47021813458839,52.45745100258804,55.828850580928794,56.113890009774444,56.21289384022195,52.50607689545371,50.50914947474721,48.873280079263104,48.218499723586056,45.78259885158283,46.49163610478589,44.85719651147816,47.518776249867564,49.882008975994786,50.80744820510156,51.45907724630327,57.01925276054655,54.18199086980157,58.19550431090978,55.72715100543382,54.587757644816115,53.00205651564676,51.668693925982915,51.01859513705165,47.856168230040225,43.92770331166152,45.731165440741755,47.56440258176192,50.84367124379692,50.46186077595412,55.901461792174004,54.15223571145125,57.86591685591401,55.80742555681614,55.06244190557306,50.85103383508543,52.665474669042844,48.686081052780864,50.830327422306276,48.874786874667706,51.41319721954547,50.05051043527245,48.59954953752339,47.793497564651325,45.26248734364663,44.14713298638579,40.50558972003603,41.825977338819655,38.299142333810785,35.954353211488026,38.80053676607668,35.689464442391255,35.07130861257052,34.97473389512494,32.56949113711189,34.76448939016781,31.906342900293314,34.70771707595712,31.873300405055126,36.96961164135783,38.915618948028346,36.48335767776117,35.63435772454297,30.85985413391965,30.699130687967223,31.22053421123233,28.78688690568131,31.19764382840176,30.78182249346379,31.774347107321404,35.00654023824413,30.966771741581365,34.575710760233896,33.02155447067871,37.15746803481482,31.55165774057607,30.620379436643695,25.74800146132405,25.690053200794107,25.058074014694384,28.353400787164155,26.76175806611773,29.90498569633836,33.192514110836676,32.49837421074406,35.60236238274604,37.913178726300956,35.30133483517684,37.54812537204692,37.85290866108919,38.42751022227133,40.348215963703915,42.91439257727845,46.97933025530395,49.17368092698024,49.639210757693014,48.270315553318866,45.208016991361745,44.10014451354978,43.43725795503133,40.381841586600146,36.52730489377677,39.427554489466665,34.060766520295786,38.13020944134771,34.211294839984745,29.162662092210894,29.508547300970935,26.9256788176122,24.792855971170372,24.321182402308366,27.04662327238925,28.89178916520913,33.78999790243644,37.44595901831687,40.70361315940656,43.702914275361884,44.39439548558998,48.74108671582276,45.48641667524741,45.71405997368404,41.155743082262155,39.60829031186342,39.78040397564859,39.52867783308002,36.966381578020965,39.8694336141275,40.09632836800936,40.79427560877491,35.60184422513569,36.615393242465984,34.839932944745385,35.249208988115825,32.97549202524423,31.824742808482014,32.50932126381977,31.86353979765638,29.44761149225123,32.2184007525912,30.810585393676643,33.71358162321957,35.56546897314479,37.76953688966454,34.43653585949761,32.3610232692804,36.53027245947881,35.7615512661092,29.939139197539802,33.340150863222306,38.60531124644123,34.26949655611292,32.936452549964216,36.65899080357073,37.48037610815586,33.413833788468175,34.30898604168411,31.656482115252143,37.001239125271795,30.914975103015756,33.2766613547066,37.38571179414293,39.019979979605495,43.63043591135419,43.10995749209393,46.10032633622412,43.95167742892233,46.34672173351362,44.925353663668254,46.371303365335045,44.142317301708545,39.15353760655657,41.56806907427212,41.780850168469485,37.312527507071124,36.172115480900395,37.678276597888214,34.98833845209444,31.75972818960457,31.53365729903562,32.20322782021221,37.102870723444205,39.942531681268,41.48458259404446,45.17247597320536,48.995255829743556,47.751929953285575,42.9611369625393,45.9068355783305,48.4139561651554,44.191719161053435,42.13836647737861,46.010520907859885,45.64723902425487,41.65232581086767,44.77545752629753,46.97677077221899,43.87160053320567,42.60800483482646,45.514917603170005,42.69965360438471,44.65004322161974,43.284349148038494,44.635981548685976,43.105710272984425,38.284016394994005,39.69496307095378,39.30592873018348,36.598192170874185,34.142772453627366,37.35492840964035,35.01740352869184,30.673064999986916,31.320975051083455,34.00959516240534,31.23785543858121,27.901915849244364,25.39090963859222,24.956300610145025,22.263315245571803,26.777063604724944,24.34362474076723,27.300606637093395,27.756570471486967,23.23441036554427,22.561908108489494,21.015930191100036,22.027209287545602,26.70914401078172,26.904465258714783,29.798445942470916,29.134841770747535,31.681281663349292,36.873312072877184,39.364257789352635,41.379436268824634,36.48161192281896,37.05904796906045,41.219676009192966,39.06656287320914,35.77125508027881,39.00773325413116,42.81280067780842,44.30120712120143,45.7127063953922,46.35556008438512],[31.19231618820217,28.68115122554735,27.45378943319258,24.18763768295807,25.105902588296765,30.250062461831323,31.17017896632249,35.6799371098031,36.184528152682255,35.81308998083431,39.24836809348404,42.36468318479781,39.445674345534705,37.85042175498916,42.85634441406206,43.42667495206304,39.61637047899026,42.78492513841775,42.17219941047612,43.869746266788795,45.54498666100628,47.79081071701499,47.29535276929457,44.66659120091375,42.24733967535804,40.37110265640913,39.31150168207145,38.133913043960185,41.487209608745616,43.12324541009993,47.985200377015666,47.79437659779348,52.17964559150112,54.48903108985126,50.978508608496426,47.745589468135435,46.87425915104468,44.30498441173751,41.80803209504809,45.42366522996536,40.67412427859499,43.68577505762304,46.93055108531008,44.01358337466041,42.21455246503965,39.0106157694924,41.908706296323395,44.82047167687461,40.98363881092112,41.95610328640172,46.750516681231275,48.234917380367904,50.70443122016948,46.4811301825046,50.132530313934616,54.172395031540894,51.47097372856357,50.446242949278115,55.307753712319474,55.878365144750916,53.53895001851689,56.57836955289448,56.50654813703752,56.91481481716342,53.35030327083338,51.00920719276299,49.1333692045562,48.04729523303474,45.48118472021488,45.70433571085663,44.11069093903535,46.74571095246191,49.15754048753446,50.55568185662576,51.00153459721856,56.79996090471274,54.195205133029916,58.0527972705927,55.76318790563162,54.958427097791265,53.18578898569207,52.17325542576954,51.19113600888865,48.236446051589844,44.38126836407431,45.7703914385406,47.79144594199727,50.670385939695066,50.4000851357719,55.52093247476302,53.65934570657066,57.300528861402434,54.93346354035837,53.91665673867081,49.51956138901019,51.08360449603164,46.941244224967186,49.19864520049432,47.0392487865386,49.30767120967961,48.548574559204425,46.94517399479469,46.698695205300446,44.00209611184266,43.48137244990922,39.453222737804815,40.80573381196387,37.436685026983106,34.591860901919,37.29592001086439,33.825758598558224,33.63186968839624,33.116344933513126,31.19387189803755,33.40314984084577,30.89831789752822,34.05636165125303,31.63380596968195,36.912530872555884,38.32494259443952,35.645995456319696,34.38941210341235,29.665125027146793,29.15756973463939,29.219801713943312,27.25676544126293,29.062246348520564,29.329304894022894,30.491715779707746,34.24991215669672,30.327568054067978,34.21120001619666,33.213220388356625,37.08005511773011,31.576786041883572,30.21382079953835,25.12974716913047,25.18820838776237,24.503730563085753,28.17985903552336,27.17933506731782,30.90184911339302,33.677449151900014,32.61553029203697,35.89630660358114,37.638510659807615,34.79137288973327,36.576102160160126,36.64483303759157,36.66189474329892,38.38754227630711,40.56106269928389,44.65356973058694,46.363545641599586,47.145849330693,46.15146065915167,43.3257471795667,42.370252126809405,42.08516852564378,39.21807734716845,35.92250764417148,39.108084450330814,34.143961793290785,38.4914888656718,35.0116478381665,30.20534195589454,30.65877449653707,28.68484567452923,26.086343270223512,25.12950194117221,27.56889439935696,29.116750291944985,34.09008897358815,37.54661325324906,40.58463395534742,43.26315356808716,43.73561401765051,48.284359495678935,45.45717053677994,45.68224759693181,41.54008642127147,39.340105027869726,40.150215421787884,40.3421646852461,37.768461757073126,40.988717389296006,41.114235440854536,42.403165523502864,37.427424389829824,38.55668303749587,36.92959446624347,36.8275691469437,34.46033760234908,32.88894409734015,33.313474484015295,32.45106634684086,29.404855798560433,31.813162569536953,29.79244561411213,32.365510338953584,33.95009943678714,35.81962151800215,32.41799951409758,30.202725787607072,34.1590814172294,33.04979575022759,27.08484311017725,30.46026953173075,35.54440880132918,30.855612609608922,29.38995267954614,33.0446187190788,33.705869105104014,29.420485900162262,30.277449255696613,27.846242374573375,33.268214906031666,27.64427415911913,30.213209595854188,34.26316355663918,36.39639390632263,40.760596613341484,40.84023143934697,43.923180586923245,41.99342019176158,44.64783467862877,43.31317334295712,45.18130486114413,42.79255451954433,37.70491310701185,40.51785553076599,41.057585469654086,36.40595807931766,35.356717953195655,37.39776367889855,34.740986210524056,31.081635659198177,31.324473957984406,31.135639924649816,36.23211927133164,38.99009633052392,39.96653968891975,43.673598135990225,47.19086896786276,45.98724503699544,41.16923586721068,43.67516764565667,46.09609289301281,41.881524764779215,39.58305286940369,43.164600829230224,42.63191085572056,38.54384543864138,41.67822734387765,43.64249510237022,40.30239081440082,39.10789388564334,42.118979637628335,39.50566441375806,41.800122189753075,40.75219420482845,42.34735013725457,40.42957163992104,35.578668608604,37.55043320241786,37.06467580444848,34.0850692036571,32.0918181854985,35.68402715586283,33.002840165157394,28.51771008144483,29.887051323996403,32.686040860237874,29.570699732512765,26.062897505420985,22.97547074347224,22.82627672856436,19.44109166382583,23.558929923899974,20.800295412550355,24.035963105944386,24.156368744699108,19.481165218146145,19.408552444537293,18.330937963820652,19.93842814476976,24.589660896931626,24.738699610111617,28.16225934884148,27.233449031360923,29.10304261739208,34.551761413606435,36.791458711228124,38.82510295233062,33.8096359099064,33.95075542538103,38.03602456661329,36.06605918227907,32.31455437686289,35.3890134130594,39.137847144585365,40.672530377806545,42.11786901197118,42.784727506074816],[35.761520046731476,33.497263929665245,32.58935146495227,29.661446824324887,30.85928167373651,35.96861499261944,37.08571380097837,41.600235904662306,42.09098039678883,41.783752962880264,45.17984814157872,48.33653330921854,45.460994989034724,43.76698082262625,48.77761130668367,49.399576232405245,45.53580206281531,48.590439954168886,47.739344621371906,49.477121384465214,50.93448263518294,53.076448768391685,52.3825248331097,49.598328497835155,47.40239785179691,45.71019899182776,44.84889751214382,43.871780208988184,47.33900310007127,49.08571853948156,53.89248145705086,53.8007164728752,58.18427754934421,60.43174798600017,56.910606505248666,53.605971777834625,52.80060414656907,50.05403236225287,47.456996889241516,50.857898370730155,46.04092430110493,49.09786992074058,52.17371291537717,49.084552426811854,47.02157988217059,43.71094497665531,46.30672523063338,49.53865182252539,45.91216168999749,46.41666995077016,51.30596417705446,52.8694120047145,55.46319557818764,51.56862856208243,55.2594672573179,59.23915828096364,56.520891320024326,55.76512555822652,60.64188040329999,60.96469498890187,58.78152637510864,61.97950429099704,62.060455553460955,62.24962783846982,58.640472814515356,56.497143877552844,54.582470656413406,53.69095349583485,51.0160379853676,51.376519643493694,49.65187269624221,52.14310154165622,54.72073830256497,56.02614757565648,56.68897094958516,62.44079502066595,59.85315191893487,63.798497048418106,61.49063840127077,60.580976683680134,58.896294308244926,57.748973828801354,56.868961403041766,53.80327117339057,49.9443864269828,51.51695087691595,53.47556645018957,56.4974995651572,56.15719841032351,61.37818311224024,59.485394845482894,63.08272462821143,60.77767203566433,59.839950443025735,55.45844136656591,56.97921675894567,52.835484955955486,55.201537159156295,53.057860463302596,55.3039113151997,54.585663209015365,52.92404130608692,52.67460759682207,49.890002535957926,49.17995093648135,45.18282132828172,46.312902645670945,42.79516027061908,40.02651105487357,42.92229239081844,39.57268603761308,39.541178102539845,39.12088947868162,37.21973622313755,39.41486752324719,36.8414973684653,39.88894169264299,37.286770242393814,42.38588307018314,44.04168088447949,41.33757590789666,40.21727507965788,35.48278578874818,35.11873223482313,35.234029285901954,33.28955045542495,34.972880304891916,35.20737279052094,36.18025901959767,39.833185807031164,35.63853409837932,39.28445458881875,38.26996896294722,42.39154223201275,36.957110304660354,35.90188569479076,30.734308788416005,31.00896676010439,30.388100366860247,33.96738013628352,32.66088069876727,36.11350507573345,39.14881178992462,38.28941495808501,41.52836168762261,43.47083650652082,40.68536940229076,42.56937366885625,42.64554579029782,42.69013384773894,44.33492677325982,46.498804803663525,50.529950623418955,52.14437301604582,53.05739493567539,52.12773870856517,49.347089670878695,48.35173515710509,48.10767047017764,45.146652168901,41.793857506212355,44.959289665824784,39.859200386560424,44.09956175780197,40.370395967794835,35.45154984434995,35.70720965044434,33.33820928720641,30.898085792311242,30.377336953326427,32.89323053498825,34.70113992306948,39.62465463181209,43.16533256717687,46.31435342963241,49.05879603048379,49.65620943681879,54.11726482377348,51.16941982017431,51.318352366607634,47.01237019731804,44.95967708769244,45.420707496904676,45.36760304542224,42.92367464741642,46.12440668527277,46.39518132446766,47.29373621827605,42.19865585721688,43.157753209992826,41.30656353202114,41.53994757521149,39.03217097352181,37.5914699228841,37.93922409568579,36.84901303753202,34.179579938092196,36.45977221576568,34.436675715714216,37.376292875899075,38.53195271861484,40.73458781056678,37.56146437233243,34.87723092286371,38.67223759278194,37.936767622364926,31.87752554661351,34.76668563579963,39.98831911508444,35.535583788018876,33.66814846377737,37.07706542071116,38.12961539113718,33.7490032501012,33.96202947803191,31.503724376852485,36.59866277949535,30.54045454406381,33.621774492502844,37.471449534390004,39.25474780341863,43.55521042281102,43.47032690370861,46.949726458263406,45.35964088006728,48.187486312316935,47.30982557753438,48.83228304126629,46.08116573704025,41.47158950320165,44.40017423521731,44.34097893090889,39.70429753697501,39.13223122020168,41.05174235477846,37.76853524724428,34.38503796546571,35.323874771248505,35.32945313272055,40.83098074750804,43.362494734827344,44.36290228976359,48.2940606962306,51.71165201482802,50.89112436778224,46.00069275227676,48.25033148438785,50.957594850384645,46.95479664063494,44.35140173887375,47.88448766340102,47.50843460796172,43.297952804447114,46.05680338783926,48.08687647412132,44.85882020926925,43.275166982860114,46.05627164214597,43.390639285247566,45.73293588301462,44.97026950239228,46.195881969449864,43.98244959543411,39.54449772440246,41.42981906244409,40.40997593332411,37.50053389148695,35.87003114279898,38.82515242741455,35.68050664287329,31.76964935593283,33.21443427820541,35.219714437608296,31.752048773318084,28.708639948590157,26.19462745920191,24.862047268157585,21.8686115718828,26.02609490953834,24.295457801118037,28.056703581086204,28.73695878290104,23.88487822021509,23.91359153865844,22.31974138238101,24.337218914502557,28.97383001009163,29.903980181064462,33.337224693572566,32.847678938878296,34.52285653766691,39.99450175219715,42.02776398988231,44.31675734236727,39.37238922249255,39.162877830622726,43.29502572557717,41.66434462428815,37.64014501741554,40.395128630744836,44.17056156161442,45.69824597438612,47.07555928051692,47.67371822996022],[36.44588596110772,33.86948581739994,32.3017032931472,29.915920468398216,30.219334113409282,35.94313279163524,36.983743023445136,41.33982968067866,42.37730468003643,42.07782709648844,45.641039150084914,48.540611155547936,45.407712366980704,44.22427735700175,49.11120926300552,49.378958289761655,45.47115517866526,48.52546350192262,47.75526422289264,49.018490208921484,50.516369000131554,52.28644351172057,51.81302605207863,48.96099987528028,46.66822983269068,45.32127675950378,44.17090227948841,43.40701279285608,46.88642340706067,48.559238737779744,53.82429909790618,53.349406747748574,57.84296600991639,60.00907563268243,56.26687326093432,53.01360364756159,51.893628453479785,49.06306107183025,46.26503093699849,49.12826582908545,44.61415411193396,48.07812612826561,50.91380078568014,47.66069762314374,45.69179505345932,42.13481646665859,44.6068977186951,47.845848333917374,44.0426585621349,44.14938542015758,49.04634979797205,50.4500383526475,53.282466537137985,49.59893634729265,53.068610753863,57.21627513855264,54.80283149795808,54.16454254827264,58.967983146303375,59.32680980234895,57.57216834831525,60.990090383656224,61.2750354929069,61.6189831717825,57.8703743690583,55.74415712398679,54.37772151460453,53.55486313085076,51.304380328990256,51.8272092302846,50.338394766986355,53.0990945651453,55.345378602764804,56.39615679824441,56.77975996785448,62.37239201434329,59.39473297462062,63.2640677311295,60.66308381274631,59.43274469816406,57.55174098501242,56.094526662743974,55.08301653307041,51.79902244674158,48.10559822822937,50.047076428482804,52.258879178637066,55.32399077480757,55.37849524422446,60.71261077189324,59.17116288531208,63.01980420971795,60.8466515663623,59.87898524846393,55.58407374420248,57.399260521361015,53.332914065848755,55.194142322970535,52.966667334560086,55.03538374769501,53.96680159934831,51.951875404937304,51.50065702188054,48.418728955014885,47.13850141443567,43.30103428926244,44.04938915904928,40.30684422765181,37.85920348070903,41.073484647475254,38.15619160335332,38.25061192682668,38.44589807513629,36.513061717873434,39.20075944241277,36.648565668010875,39.7402524991342,37.19426885707129,42.531750814244305,44.19473429279369,41.78558654001436,40.65102118428541,35.90849526453451,35.3262887547609,35.32691675063703,32.685929349850355,34.15992087932586,33.86460780400035,34.367007745901546,37.65749013547646,33.092231599780256,36.370031495046916,35.29454248367759,39.711487782160376,34.45899090734565,33.98078034326322,28.70250529822975,29.59402049992049,29.545971724334656,32.96451617156062,32.02265425349479,35.224417698513726,38.45379280024243,37.46169730994245,40.44462261092109,42.62589388842541,39.91278555414357,41.81633957612741,41.6800315662075,42.11469024119896,43.4862497952951,46.12913039383002,49.85860969672362,52.00516122649711,52.91210649070368,51.63111258128554,48.869010705495604,47.44765864501848,47.27843541663359,43.80377762983218,40.34281505428101,43.69601507888451,38.49645847398606,42.467044117152454,38.3141968178063,33.52129834273391,33.171980701534416,30.627502115650532,28.075862803431807,28.164094119003646,30.54843464231709,32.8672473700189,37.57922761203139,41.181973256741294,44.532339194567086,47.30193784530206,48.365582874977655,52.45818077500907,49.3431216998608,49.21750221848961,44.74372278550758,42.7946989410578,42.71203066090292,42.40380229522955,40.21989988711149,43.644549102565186,44.350376658479924,44.85545378261591,39.971727762212,40.44054866496299,38.26843181476589,38.58453096110869,35.77658968308378,34.33732470223459,34.524882192427576,33.223247999225535,30.973129483130702,33.2066841372137,31.445286480512966,34.80035838061565,35.81742186022438,38.460762173979596,35.53178029514251,32.637426657284294,36.51071561233811,36.32837241883486,30.370731602678447,33.022219066724894,38.50032604505087,34.63139323930303,32.73088442470277,36.13607255532296,37.617558039494675,33.556949961883106,33.57452028706051,30.751555377858576,35.662090037167104,28.955665149065645,31.826963256720813,35.70459515932661,36.892974778640436,41.461359490968555,40.737764606181976,44.15162309537285,42.42908425047201,45.08320256997386,44.28603962096959,45.39999509501923,42.66598039834386,38.27067243011534,40.97559475225499,40.53701917815383,36.0283774788431,35.559782102818595,37.171918882240575,33.68529194085561,30.61071530177771,31.614342991985755,32.09958271039776,37.692154040542974,40.11459216445618,41.45603942242497,45.48513068607492,49.053349011929356,48.44241260555875,43.53413329993029,45.97513542703673,48.93078582488023,45.08445193261826,42.496084495151614,46.30099440830879,46.23072023751394,42.045763652704196,44.57637144800582,46.94252198911514,44.1155816202626,42.2239646802094,44.776443352350675,41.83883344384003,43.795525599507855,42.80926564342219,43.67248881772756,41.762668119320004,37.47631606629888,38.801344743385975,37.735320695181535,35.10598693187031,33.15246963639551,35.6397406827039,32.73011575574531,29.036319794980738,29.91753649046266,31.700629329053314,28.49725267155928,25.640452203361857,23.73671877147474,22.075935907431187,19.836178741281792,24.413216566755274,23.163582799574428,26.669111042178287,28.029493833288146,23.318313993995808,22.616285411396948,20.351952564861612,21.992667150641676,26.590009292146625,28.04928388589209,31.09935632386312,31.275608884058613,33.267252151572805,38.50748368600917,40.558642080762276,43.128787486794955,38.40842510756774,38.29564302716887,42.60311174449487,41.23696153099155,37.4774525593718,40.105615121818985,44.06732055997445,45.55730371135463,46.877230170996384,47.4823460677305],[31.349950520169063,28.62916564140873,26.867577704643697,24.540121580914427,24.74779666576902,30.515670125753473,31.648032803779735,35.97361139243689,37.161680334425554,37.07684019006434,40.69857734424013,43.44183841012679,40.48824292822356,39.49291000857987,44.41595963479823,44.64638636438168,40.93389436912579,44.248577915066136,43.9189888678014,45.12492733633395,46.97223733706975,48.88170054359887,48.70108978188659,46.061846821815685,43.46107457656225,41.8645661532892,40.39163606756256,39.289669167323,42.52774422090036,43.910685077164935,49.290541740798545,48.54151413616039,53.02558685658411,55.40165080547431,51.68681493195998,48.618994728483365,47.28613452424155,44.85358178550264,42.20553059552489,45.30376325135079,40.985467784657715,44.45785695606942,47.51660612959758,44.485304826815685,42.89640759149911,39.434931793566214,42.27768036123799,45.10621949786228,40.963011086866125,41.600411683138674,46.383163348543064,47.627487753200775,50.37289738452582,46.26464131275093,49.60048057830067,53.911765985611964,51.60078598104364,50.58049753053951,55.346051135509775,56.09360884378653,54.1851723092308,57.388431299344916,57.44271105457528,58.14019699386144,54.455999729884006,52.0267557062892,50.72965884720357,49.58082764378048,47.47631002964204,47.712029854421395,46.41134882101431,49.3230499007387,51.374038563169165,52.64265135924822,52.69197676182565,58.37809615566194,55.39602274511116,59.09800558786608,56.51773162586524,55.437849411858174,53.34152046535698,52.0498143234715,50.7570433596865,47.589448250606885,43.983681907994814,45.698678029064325,48.12973381693834,50.90092423339885,51.18259764607975,56.31148710908455,54.842826537404434,58.75251567560864,56.42327764392946,55.255619155171075,50.89511458086987,52.6971635194687,48.589716053171145,50.265081902291655,47.899805882639235,49.77503140137065,48.88506036843907,46.712503639054944,46.49433690873052,43.28444475061076,42.26232475284127,38.24061557756962,39.03496779981668,35.39015181795326,32.71487268435036,35.84553313341853,32.803591197649375,33.06878445168253,33.21195095346208,31.517646102578116,34.40021164524359,32.10070700329614,35.446296378561044,33.26053488723318,38.85810534645544,40.08794085231943,37.68608280713579,36.260477114217956,31.589331199723812,30.659029355907446,30.338461981343244,27.664171037015628,28.792090615742573,28.675378452881848,29.21011767064196,32.73928714287824,28.268939089253717,31.763390336659995,30.9781655908291,35.188811785437196,29.97920725062075,29.262598619276318,23.858337189545875,24.92854796039143,25.054854581325667,28.656848894523755,28.36107703463925,31.93331490164048,34.788050009755885,33.43121160835544,36.437803323160615,38.268730079045845,35.42456246232436,37.02215049324507,36.679341001634086,36.94121792292308,38.157598766055415,40.7631280790836,44.43331926237806,46.56126022407455,47.54725474422752,46.307514482314524,43.65430822364711,42.19444762869108,42.22491920130293,38.73663773915408,35.57430454870385,39.157223898059684,34.22956496068251,38.32682103520574,34.4316807333122,29.873280147657407,29.51344495533147,27.506088252583414,24.53305942511984,24.26957577983105,26.411063875314632,28.588161563214584,33.31073007309624,36.77811702782946,40.008020434593156,42.573265250025585,43.58981093988163,47.729915895510366,44.869146895072724,44.708222819091894,40.50819835416296,38.13553663301094,38.46507845109051,38.490867917439736,36.27875700201213,39.96755941351145,40.65198058204616,41.62432795014197,36.98900638393297,37.502994321342285,35.4705952290066,35.29687471219167,32.43396800298236,30.659955776048626,30.71336550197011,29.385281337929946,26.61578564467601,28.74757903117091,26.713228586359875,29.795647513131296,30.930969666963513,33.318998622667245,30.262931901158623,27.51966143807638,31.44479064019421,31.009393946410547,25.04342973039866,27.940733063430272,33.34356455591528,29.321114530162212,27.596325635860023,31.138054576486482,32.428066821371765,28.43015934414628,28.772650822507654,25.94780196517001,31.077803438896954,24.676429182164775,27.249165405133073,31.273343359259172,32.81947840443095,37.40101364925288,36.94830765858049,40.11997497511801,38.21922815729439,40.85416424761072,39.78703695251333,41.27959837934008,38.71790279577867,33.94223053597458,36.73649762922589,36.8228444130732,32.20296018529328,31.446931139066372,33.37669451918218,30.310358980025093,26.82828782890491,27.590437244554252,27.59912547366048,33.08474257710831,35.611829796570774,36.736493012531454,40.666080259475834,44.19999483550977,43.3981042861542,38.501216366909816,40.953602344509754,43.74957473445442,39.79876450261722,37.28401494667204,41.065152449135674,40.89604832193298,36.74326955104447,39.467635020442536,41.7742551546822,38.87305985558367,37.17426670644051,39.87369275119754,36.987644597104676,38.98582795550175,37.89800148397786,39.053026432191324,37.22408967211727,32.64963709772423,34.17876965853709,33.428742894895166,30.662177398618912,28.582077753978602,31.639063389526562,28.93237575552003,24.74878700365586,25.818389754880272,28.239076301103534,25.156216627180775,21.850859137297206,19.336922279520724,18.633233123074866,15.883474807655446,20.418686161459352,18.417674582227644,21.652382679741905,22.744557830179915,18.106822414287656,17.331435344177503,15.346969030796775,16.918856586558412,21.577539426791606,22.69982339977212,25.91367836732788,25.913516313893382,27.79133331840955,33.081515903532,35.14579562299619,37.6642917598205,32.90892967193004,32.82276328503906,37.123298415471965,35.73794451292078,32.014442540973725,34.702182801413315,38.67581257986139,40.19221330475285,41.54895755906625,42.21276642286997],[30.21113671052136,27.920105170853017,26.99841294942979,24.68719611999969,26.075763743813813,31.212855143745823,32.805866151077126,37.23563056891341,38.114043152060916,38.388293719621025,41.90096014620157,44.71817442392606,42.26825325596714,40.94832901394568,46.042015201044514,46.58430973696074,43.08345405303582,46.58033400184063,46.42831249695351,47.99184436915879,49.95549520866273,52.18640646012558,51.94429429179432,49.403886471360785,46.79586013546096,44.86644267300362,43.48265363552151,42.05380376544322,45.13165417848769,46.35732403933532,51.4382966167265,50.77780122276341,55.15643242450412,57.78168987628922,54.263409838720165,51.29648399573465,50.03881966047887,47.93851037514303,45.51162703609074,49.024259419915516,44.63228570960098,47.84499358655442,51.13073233129307,48.275204389979926,46.728156308614075,43.43506725645497,46.40748248540225,49.15843359817636,45.03199409906798,45.98257146256415,50.733819862328204,52.00102216201228,54.61230377965398,50.292535870137925,53.676369025992486,57.96368008657161,55.5372277974529,54.31788664423457,59.1029692424017,59.976922972051256,57.76870565675097,60.74375659065171,60.56200434019784,61.29501257405574,57.739352796533936,55.18105999955916,53.50338724972222,52.14485206561297,49.747898029322194,49.67085030313113,48.250523611392275,50.97432776741181,53.25038289540781,54.87683367060668,54.997896996187116,60.86594569601554,58.197115376416725,61.86054886273404,59.50596793552734,58.7200439138879,56.62832924564957,55.60741159737723,54.20689222702671,51.22231178242546,47.61003408448763,48.989681291371156,51.39784942812415,53.953024374260934,54.116212350009384,59.02698414050048,57.33924358972648,61.076761870856416,58.528047839771595,57.2304630485567,52.73230723889909,54.2295292400889,49.99457637305506,51.982005484369765,49.525966882545816,51.2628383634445,50.94679211535755,48.79138779502661,49.03200346977474,45.80750869195148,45.33180370748497,41.036164228390035,41.89295465224938,38.41592075503054,35.3356422236903,38.29257405311204,34.91573417661903,35.496618669617774,35.14336162331912,33.81317997692311,36.46650019604649,34.3693726236501,37.84832768479753,35.82064693589927,41.33148107375526,42.33245107633528,39.65436793127024,38.04234736709088,33.42791222612318,32.43829784973501,31.88912583430363,29.860881765756748,30.594808704444787,31.157550234276954,31.91078864337095,35.8450172543075,31.548166649122706,35.20926550086501,34.809623152496556,38.79126759357632,33.66328224281767,32.575704313349384,27.144157743742735,28.07699647312901,27.92976980396287,31.746783776604353,31.4890114030331,35.365674552121945,37.94824531794546,36.52879108207791,39.716690086631395,41.18066518388102,38.20514310850362,39.53676514902798,39.13409434308261,38.87367030011321,40.01685854956655,42.13419305703217,45.88749838508367,47.40603376915013,48.683471701805075,47.87962121874472,45.42020205789513,44.222994871347026,44.499679522972464,41.32631560819784,38.57334507125852,42.22052982313713,37.55439091149107,41.86072214732937,38.323646583468204,33.82985299012667,33.725249099421994,31.970707464072408,28.91262861427919,28.294374849506085,30.34417456950145,32.20184394211788,36.99216832920987,40.319581695828624,43.35383301087468,45.71707442009445,46.452811370005655,50.810441754233764,48.25210287063326,48.168191040956,44.2514097874497,41.51229014293927,42.30845405657341,42.60287556189789,40.34968728761605,44.09579407164077,44.5958672725316,45.904866089850614,41.264266107016205,41.98028869495209,40.081402724624304,39.73522089442152,36.91459123571268,34.978694625936754,34.91284770651845,33.45640909177401,30.340805173987114,32.15134276413078,29.622115856589286,32.42779850899796,33.186061194945694,35.28976667009114,32.24379101121821,29.275385483045294,32.86197828423018,32.14918702572964,26.05990422900492,28.7194275390003,33.900275162582744,29.53302419074936,27.50020214359419,30.826959294589333,32.03705289234994,27.705167804184335,27.71861178579798,25.209964280580245,30.27326536504211,24.283065158825902,27.394739049290628,31.219259723473918,33.198188194088665,37.42561361644986,37.60243522475948,41.06356687417277,39.577549303352924,42.54701280049445,41.76058424318911,43.531107828353726,40.67958107362423,36.045792864251474,39.25066333577785,39.41406820065791,34.672464459623846,34.203373324696194,36.54723589770019,33.30661440485346,29.597348815989168,31.01534725600198,30.319787172156648,36.02685448452127,38.39166751397924,38.97004091249504,42.95139883500905,46.123338126107534,45.4706311881168,40.5660100762899,42.46398347727388,45.22743389394133,41.35926243218617,38.51682208761796,41.91957436446963,41.58779164287886,37.31460829415198,39.91815808008366,41.93794598213196,38.77566078104336,37.044114805399424,39.77698348866189,37.13682354977923,39.56778422282997,38.97144045115619,40.24927369945032,37.85717341928429,33.458949987728616,35.5849174519995,34.49608838143127,31.467831503484174,30.108325862811913,33.259893714732385,29.964884875944133,25.960144119342104,27.855799216653296,29.9716452630304,26.356514360182953,23.157722314944202,20.301856953536785,19.27159325527959,15.874293015467028,19.85067973689816,18.01643378892259,21.885566804021533,22.737448300967714,17.871180443539643,18.00796753747056,16.46398654626529,18.89428556671602,23.387446936016755,24.650704443512627,28.352170085838296,28.10141239583723,29.217725125399486,34.73527653052849,36.47556754117973,39.003784465690956,34.15733233817228,33.51888219628069,37.684518909449594,36.52246423691373,32.23918891900923,34.658575184537305,38.51304364111056,40.05974870882566,41.42020880086094,42.055888806058434],[35.113085876457255,32.870153418196466,31.86236462101416,29.90247799856671,30.99768190810656,36.37635307446953,37.95084267543144,42.32718830051685,43.36634695161116,43.56139535546071,47.10767942740133,49.90810589448493,47.278982236257434,46.04513180150206,51.083439402363894,51.51603490571453,47.8780566617614,51.223968344833985,50.815883232434274,52.233072061217236,53.984003250135444,55.97010627944231,55.61170926459763,52.89128112077265,50.45120332138379,48.829231378440454,47.540882147234335,46.420347194957344,49.665983891944244,51.03648322522479,56.24745596158009,55.58523925319515,60.021054723356364,62.50227840619187,58.86951233529776,55.809652329977084,54.535431364297416,52.15401798296203,49.53128157621603,52.648039713551995,48.259756829182486,51.66400172426759,54.704613097224644,51.61092486757053,49.83594067554486,46.35171061495262,49.011881021426234,52.06653895082414,48.08022862403603,48.46471341675512,53.30986401386645,54.606088165862374,57.416053697028204,53.47883516679732,56.84625402925279,61.11868514368117,58.767813397795464,57.86287232080727,62.64484946582185,63.27148936591057,61.369168836943714,64.59665154827483,64.6557547022074,65.21676062755057,61.55051935191273,59.20050534419428,57.695595864404865,56.57906692277112,54.23983614048765,54.40975473612858,52.94553757734496,55.664084710923355,57.963597978062516,59.35794108115586,59.597980421382495,65.35628606240559,62.532075847890304,66.27797808035233,63.781697436947454,62.755566138658466,60.70092445193402,59.421049082970015,58.121782940545664,54.94417251096628,51.357349268846114,53.065584609594126,55.46928381386591,58.22888529610218,58.433257668879314,63.527938332896056,61.93849126054087,65.74319084139361,63.33454021604149,62.139325485293156,57.705036482079244,59.31485051006809,55.12288856949961,57.02895560193718,54.60123575849708,56.338925955506554,55.81397142053718,53.5470006720974,53.602189248293264,50.261431094302125,49.35134487930328,45.20831136784978,45.7836314281645,42.099451128742544,39.28746387305045,42.5048682814567,39.42173335460953,40.042449905504846,40.017461074491095,38.56019941555498,41.333695898376725,39.08960000297857,42.44279509336549,40.19417757306417,45.64331098482611,46.93988919538995,44.35891890007745,42.9229731626498,38.24591150020469,37.38540630233672,36.969841629033816,34.65262085153989,35.43292248095708,35.66121127832318,36.12236346831347,39.75874598538918,35.139259130469625,38.45415996641771,37.90569242186376,42.21363385156277,37.163373534751116,36.542098283797024,31.06474542357361,32.257553250254894,32.290770756402964,35.944837986995296,35.42808863307511,38.96417470068615,41.900767069157496,40.65876909521996,43.730147776672055,45.529627373549246,42.65449763341164,44.17697022096432,43.78026672108031,43.77797897111701,44.84541708272814,47.18560215496689,50.808838896270714,52.526491254083744,53.82123917057668,52.875549955540194,50.39247031209872,49.010490558365476,49.24819156994295,45.816911064831075,42.855511981457234,46.48583596575111,41.58891576814654,45.70350905220092,41.77217712820452,37.16838562703884,36.741166451548814,34.53689383457174,31.648294571559312,31.587952441663766,33.728002188430686,35.968973990867894,40.669592895796605,44.12460290216423,47.34888754785458,49.8403035560692,50.84794335500005,55.00025077296643,52.212044980179115,51.991863182847716,47.81699683564459,45.34890603969093,45.59916579011726,45.54912012467596,43.470580727765814,47.209972788200886,47.962659697582424,48.76233299883504,44.054196728300425,44.48783043719938,42.300051241844,42.31486210764309,39.31731228642293,37.55653045778639,37.436344054044355,35.78970470851451,33.223487095946545,34.994743828789794,32.690752552417315,35.95576804114657,36.40408330245833,38.963355145965714,36.19154736844436,32.86603068098109,36.37580713179321,36.20416531579262,30.162614314545753,32.36503214956737,37.727919133822425,33.84312519829129,31.557621702130746,34.67293761781308,36.34301204112955,32.13805747969645,31.614803708902567,28.95373151476712,33.59743737331602,27.011651836635096,30.374572524659698,34.00695308731863,35.35431346161318,39.6299453153841,39.31968936665267,43.054730645178616,41.775444692745694,44.760070393642735,44.362813063748014,45.623344789664394,42.521298538652644,38.40295962556921,41.53018070927326,41.01014006379628,36.38804248371084,36.33165204027148,38.35726879952632,34.54759869029586,31.284088474450407,33.18223831752407,32.97436664241842,38.94978142444904,41.10661133427696,41.927680863192236,46.09537329480518,49.28770793278751,48.9979246862069,44.05515737820475,45.90119112621032,48.97494163309738,45.33354145489472,42.33004919216428,45.829831256768536,45.75559854241168,41.44157220161129,43.662660833147754,45.88460026035424,43.010278270378926,40.87433962570766,43.30632809087168,40.508182609357846,42.75435642024546,42.24722430766873,43.04601586433657,40.61317164764993,36.644037981503104,38.373559051682555,36.85995430360495,34.07334306351151,32.81367209612628,35.17039689563973,31.664821508367993,28.303624102265868,29.89015605800835,31.209855385230448,27.487375199563242,24.843795026561867,22.87163716715036,20.66077167625628,18.14959860981547,22.290721427464923,21.604751403665578,25.623190484144782,27.161808389465296,22.3454487715724,22.16797147321554,19.963667057714897,22.35353029016574,26.768268565508627,28.742893807674186,32.185298165342516,32.4890213614012,33.73682802512162,39.12250716667358,40.773723166254676,43.56373192538364,38.86684476903561,38.12050247348656,42.37338093770956,41.486934836488565,37.21016950920148,39.40044766357126,43.331114642810576,44.85477186013146,46.142046793435966,46.72419026104993],[35.025500161798796,32.48760606120042,30.84957110049696,29.37034974450507,29.631553673684436,35.493410961750534,36.97625820032202,41.174648551813206,42.69027208595745,42.89714411852905,46.56789611094227,49.11895125565015,46.29521464691702,45.52307756098159,50.429070982558876,50.552757358658944,46.919645676882325,50.27683498718562,49.9954626080363,51.00194282046292,52.82880202956961,54.51629555516918,54.38872245081598,51.664731486543964,49.10703287852356,47.73976803135725,46.174396220113785,45.19060360583401,48.39173196618539,49.65462717299486,55.24067952936069,54.22487195606902,58.73373650976454,61.15880513187399,57.35694536404469,54.378626661623265,52.81625164447812,50.432067775515236,47.67976642414938,50.359857751191164,46.28731634892028,50.00963587456683,52.8674191555899,49.692412304390345,48.07157468906634,44.42621746417419,47.02898320445717,49.995712677287315,45.83085761605129,45.971074428029915,50.7694630453031,51.89662732899277,54.87891766353453,51.06679660777215,54.20315495370984,58.62501690928423,56.558879370518255,55.6960835309873,60.38715016248216,61.10264085568231,59.54185545843695,62.907954515426816,63.101640631621265,63.84582440806143,60.08562675737325,57.71365245982393,56.6837239393363,55.584153145363636,53.63089242921752,53.90049511779235,52.66374826214651,55.61401564405599,57.603900227325376,58.80478352766925,58.766159288274444,64.38238097913631,61.237624697864945,64.8825216677262,62.1506972106471,60.8802417460779,58.637816426148916,57.126094507320246,55.67937657518853,52.34904797829746,48.937825216366946,50.91339457167551,53.549995112223144,56.2901156123143,56.859118793926136,62.000022868556435,60.723911581408316,64.73573007230252,62.42867479993897,61.189865147312815,56.84091901915144,58.695845577819505,54.58617139918165,56.0316615874815,53.53252513679677,55.09724528914758,54.282384110063695,51.70937487705691,51.61247182441677,48.02101423166388,46.65431070942123,42.65145101929407,42.897364428312244,39.048853660150854,36.511536495051054,39.976779657267684,37.284872097626774,38.02647971755859,38.5289241662714,37.08232762947709,40.269502023145385,38.09341300974649,41.484331554316014,39.34831423713065,44.984703691114625,46.22249757637588,43.905712831239384,42.43558360661753,37.800043566546066,36.72936776790865,36.19206278492326,33.30620730401669,33.86213532449192,33.64424971732702,33.68995853298285,37.0053249059138,32.110774790545776,35.094453164036906,34.55401178161049,39.056581685689636,34.22503852485723,34.08239494487213,28.55992277671686,30.303910269145074,30.845207664937025,34.341427465902854,34.22834009470729,37.57646852206798,40.5825206347226,39.18845588978314,42.02164199794288,43.95511047581028,41.14649120254461,42.63304987793072,42.03410394876735,42.34875953460191,43.161162112730715,45.90237900298222,49.24202117026107,51.42680734405668,52.699409615795005,51.44923746820253,49.0000238483399,47.255340452481605,47.573345406478275,43.721661018474826,40.73077876051474,44.52467707934543,39.62614810937562,43.49541300087389,39.28076388796173,34.87485822685291,33.928870895160436,31.703708578622233,28.67640363441846,29.09074585765593,31.03558196471268,33.665672227099854,38.131296011885134,41.586802691665866,44.940682166846756,47.407513188803414,48.80109174371274,52.62183138207547,49.74217426880841,49.282977531135735,45.03198020693159,42.602687353927045,42.442630237344694,42.22674726104743,40.38942527989373,44.342814156302936,45.45922795686261,45.997757475464745,41.55266551943748,41.57220598551714,39.15161745323531,39.143399388898885,35.89324377108553,34.08245404056203,33.782954621282514,31.936549990534573,29.68471567664972,31.364084971489177,29.266140646096765,32.8530202923803,33.18721425143229,36.101867265987366,33.55151236293023,30.08307409206376,33.658899487258495,33.9604536110785,28.06756632926583,30.07761621157697,35.636540283657695,32.29240066837227,30.045679160928906,33.16941990264034,35.17476320028589,31.315222404030763,30.712276868093632,27.729567199924894,32.2162447128209,25.103609346720457,28.16347700949506,31.84230481639739,32.668052764524184,37.21526642690962,36.32209557171667,39.939187481585385,38.48180890138313,41.286907325431685,40.90545937336505,41.847387981020546,38.80243360123553,34.816597560846894,37.738264181430125,36.95527535158582,32.43293024346756,32.429792927065485,34.22093741518459,30.28270214831033,27.244103506756122,29.19169617324273,29.347029159308835,35.36942684362267,37.43427618389944,38.53786909006471,42.76428347730299,46.09094812933403,45.9493777023479,41.01169260286979,43.04579923639276,46.303447324522594,42.79010086480226,39.842715777985696,43.58316304900599,43.76818279374875,39.51086836979963,41.56371206272493,44.07873694052006,41.56825026449707,39.21497630404998,41.459763038119306,38.42401663738187,40.29762002537293,39.54561998288091,40.05928777715388,37.952256330286865,34.07450212089488,35.29016189965808,33.80417782829707,31.272999030682737,29.667277420655985,31.66647514277929,28.44059424813511,25.206017426907298,26.259654516051704,27.47236332179171,24.029814593852986,21.495392715136084,20.066118609337426,17.671395645021914,15.910424955680051,20.45045797798195,20.117384753681883,23.766524524728013,25.87704489925354,21.293736646353043,20.403495349667917,17.618164541632343,19.59867462111844,23.915876959235426,26.328789551697152,29.40142159660927,30.28379531263493,31.795009909049803,36.928635296274514,38.5991444179036,41.60738820380278,37.1341756220803,36.511095426675226,40.89148362220101,40.21508458804714,36.23743358142764,38.335324244012966,42.3959144876041,43.874383104643925,45.09813274234317,45.69535122418145],[31.382537520375127,28.712847309065232,26.872027760873223,25.512734232786947,25.62494969200269,31.54069304383414,33.07809573180787,37.221973188562934,38.87582746998389,39.22789115185563,42.930571590807254,45.34833822127509,42.63885486698034,42.03197834003915,46.92870128362397,47.00455652433488,43.51725609204361,47.03121548670639,47.049993628453095,47.98916859806684,50.043309583468584,51.8041831406209,51.881229077051586,49.30291817768902,46.550510978647296,45.039428383174354,43.25150679488884,42.056669308894406,45.07932116406983,46.13751190735616,51.80410561630599,50.58867176516613,55.0839843330078,57.637443854379356,53.853271650953666,51.01077795497777,49.2961551750038,47.18501170758962,44.536325516903325,47.345823784376705,43.433189636366244,47.16064810952091,50.14880426633612,47.130129977257894,45.77466019407415,42.20164957939483,45.04145018656448,47.721210350939835,43.33624541423399,43.83216546533743,48.53701442432846,49.547692650858416,52.46166615589716,48.3754393767938,51.40863714062375,55.9338124147468,53.94727110838274,52.828632378146175,57.482109349751994,58.46368785438601,56.811538846332105,60.02935944150502,60.07570663509623,61.05888531278496,57.349164852117774,54.78155603098786,53.82411303189945,52.51450597620153,50.68799815091792,50.775169030542415,49.68283561355712,52.735669317263685,54.56806949819098,55.896100818440694,55.62085323577883,61.273072658968545,58.11800901457308,61.63852502597423,58.916039688308864,57.73869994672948,55.3499141652799,53.94633889323566,52.30624522436183,49.060040197805506,45.7225190297736,47.550667872952566,50.33664911633451,52.87204334717831,53.60764576757037,58.60240932702026,57.39309059975391,61.44588492382819,59.04924607196508,57.68109187237842,53.30698493078188,55.165839598251914,51.04893957203201,52.334829116210365,49.74760068723884,51.1724185288664,50.45516781803561,47.766243886849445,47.814281010234,44.13115914325198,42.91834576140081,38.80102717132006,39.060117559483764,35.27296790864659,32.590471505508695,36.01326236024312,33.26628392052263,34.142113000571875,34.65092761114602,33.38150773879349,36.71824960375061,34.73338920510024,38.273308028299816,36.39903521945686,42.18164035118472,43.12431998986494,40.8447557644928,39.19063108249164,34.63895306992053,33.32722931888786,32.56342661930852,29.624386922935354,29.899933175461996,29.772057265085095,29.797261131774107,33.25233424632217,28.40887576210874,31.524502035366677,31.195338131025338,35.55527442757399,30.779575519701606,30.507170588244005,24.9157193410019,26.84397997955306,27.553490481655516,31.125112094294657,31.47623578112592,35.026589858955596,37.769284680983766,36.131988871577214,38.9484728420362,40.645360656157166,37.76766975058246,39.03600098269499,38.282887682267415,38.50223197553008,39.18478693857667,41.92555737149242,45.2005729170161,47.407461612579006,48.723252610355345,47.47798315062284,45.10750568305111,43.31660122308057,43.77313040985559,39.89511086827107,37.1175878637288,41.065078687449244,36.37384867333352,40.29660375147882,36.26164029349272,32.05139952194517,31.0715930701134,29.229348967908948,25.92161202991561,26.126843803492587,27.869623155982563,30.4168227764181,34.848354414949185,38.19578226095191,41.46317252522652,43.78272069794711,45.161314294131174,48.990236316577686,46.28289372437137,45.79172739356586,41.73431833136688,39.02055300756859,39.1284612858136,39.14076601704815,37.29617199053315,41.426902546441404,42.53805714074527,43.385576923593426,39.1324688483077,39.16965068555543,36.8520821467705,36.502635370581416,33.21989760360626,31.176244761714138,30.773438358782595,28.89983849450109,26.28193924463297,27.877778020244993,25.57945141117776,29.002159031245316,29.417403184458433,32.178463192489836,29.54348898439112,26.156553984248436,29.798343027576646,29.949479313675532,24.037929496222173,26.221426171580646,31.772694648812497,28.345424703683733,26.22309996416755,29.4713676864654,31.365367766694543,27.574814316341907,27.211202521539203,24.173085921943645,28.855181035325522,21.876809197207564,24.698143152029843,28.537614308944658,29.62582516604116,34.240829545679276,33.51996909166492,36.93721517815005,35.30099708983139,38.08371995160322,37.47168813449928,38.69801371290288,35.793064553841646,31.47626676505693,34.46100168869604,34.08377322475713,29.454268546391653,29.211420573230225,31.23895436093104,27.623849338605407,24.247479819669746,26.007302770323903,25.820541932983947,31.790535273089226,33.943493748402844,34.91306518269897,39.07685795088237,42.40595394667772,42.11482331483164,37.172838843229165,39.24911353186521,42.40172831938097,38.80333849050702,35.91479979715204,39.67187015500559,39.79856352522709,35.560965366801774,37.763914837739584,40.2631274339743,37.7138008677768,35.4914127680168,37.85148147624308,34.8237248700601,36.707900557702075,35.84421343576223,36.574739115721016,34.55659006675713,30.423502932220416,31.76444128366759,30.535638248745634,27.89339811165549,26.133534199475,28.5910950613028,25.536423011249443,21.857251500682914,23.030851913872638,24.789277578416254,21.448403390124355,18.48692007213033,16.561961962215364,14.918049842802121,12.734963755627511,17.394099705218817,16.492365564646434,19.943378617211348,21.952616050264393,17.43190131109469,16.38631539834758,13.663300268465415,15.615123174736523,20.01034113811446,22.26852481445565,25.43743446129289,26.26346671132447,27.7011203551841,32.85000892830052,34.535194929936544,37.52060205001623,33.04302992124458,32.44926524644645,36.83864196094881,36.161733486457685,32.242046287317514,34.374982254864584,38.4617640360189,39.96261589917237,41.22015797673485,41.86186929890697],[28.64432266069896,25.668529602845318,23.266956986060535,21.85583570654905,21.271594873539183,27.455036278210432,28.77104713838857,32.81971410073317,34.666695774575416,34.95404977932183,38.703965788736504,40.99171303685399,38.17021905401599,37.8173128326524,42.61599766826067,42.53968343390807,39.10573222512253,42.671205802540996,42.89317605082281,43.65410307415432,45.866533712149696,47.59465968355109,47.87605945255612,45.42190881969688,42.50317204140067,40.96410368014922,38.95376144662438,37.676003701115356,40.5819701036784,41.5253733316645,47.333661942277345,45.9480040795963,50.458832556325355,53.01447239694941,49.19183797092531,46.4266810735137,44.5832249610592,42.59231310169654,39.98092646860144,42.799568049680964,39.04861973516657,42.826867282741276,45.8631708817605,42.95940320973263,41.851536613176236,38.336101832232025,41.359924688623096,43.76136781049296,39.1932837289929,39.97235465373547,44.57371728158681,45.47819647162429,48.33100809161632,44.04573904070502,46.98431742045472,51.58237224612506,49.68152730107086,48.38459882683176,52.995899217379815,54.17083036430689,52.50205260077265,55.636495334149714,55.61910440164702,56.79396622738518,53.104828502500254,50.408954817772425,49.62829982184588,48.20575934390925,46.5956828469858,46.631528575835304,45.714140764683854,48.910549771389924,50.514638674971046,51.82336833773275,51.32092619231047,56.92904352343645,53.67701050771037,57.1007337742336,54.32961717454725,53.15511202191757,50.66190963740539,49.291038362366415,47.544665797525504,44.33701331212218,41.047628563408,42.82409208645966,45.71704583006172,48.14834230585649,49.03479332496857,53.9678639274616,52.87624097925937,57.00628640163763,54.617782553321355,53.20043505624943,48.86776145190488,50.836615313794006,46.77737077130967,47.82921508525233,45.229171325979024,46.63698033092525,45.761205798815226,43.037953475606564,43.007138455169816,39.320101919730284,38.08679280085881,33.98141582021266,34.33194142128637,30.576472594971797,27.910955890474867,31.295189480439614,28.581934836222814,29.359096133622188,30.024857528903713,28.740982206957334,32.25404206863636,30.371239019872043,33.96951267468917,32.29950716779019,38.20080318089174,38.943940746643904,36.81331406816906,35.07574305166989,30.6207513451561,29.125961734891376,28.270377713654437,25.059507419512848,25.313742686891185,24.991915667695494,24.985092245950767,28.428723334045742,23.650688977380753,26.913467838369332,26.578929203169174,30.831537138578057,26.024354396327404,25.68813511861288,20.084363577679163,22.163103992056893,23.10936078009734,26.64449594384454,27.43628260023216,31.051669121940954,33.590278865412415,31.755672948147613,34.48585614569646,36.07529564089588,33.19439986987914,34.36998664406868,33.53698107149024,33.875083500477096,34.53555391681287,37.4492314994438,40.68509586433418,43.150111216510396,44.32403972006572,42.907845917025945,40.496720607671364,38.60977640940078,39.04045819584337,35.0787101880946,32.31471630374628,36.33604055620022,31.758002793178647,35.66087472651976,31.72607177233833,27.700141331855875,26.669797371291168,25.173001206892412,21.65208568807513,21.690387937464298,23.258883934576755,25.77041427336546,30.148489933848143,33.435529029790544,36.66942303538987,38.94419717954346,40.35655846071615,44.150674119013935,41.48960567327629,40.98986727937896,37.016014137045225,34.1993432020097,34.45411550545851,34.614942293475586,32.72376060967379,36.941544900128235,38.04959436052109,39.12069125482235,35.05219578971505,35.09667328722247,32.90181724221599,32.266693780273286,29.017983533966408,26.830421257440538,26.439037378747575,24.702790794593334,21.78282957192838,23.527858893668984,21.287445900844723,24.55082584453574,25.3998764282951,28.010659975513555,25.18859634038376,22.176982837035503,26.094304389372393,26.05658273278545,20.22618918883918,22.880640090542002,28.422752364171746,24.94983661936769,23.243300477125892,26.753092789141824,28.381520236713964,24.820168220665032,25.056524334817986,21.94707515883937,26.887678851268113,20.223036270371292,22.362330897492946,26.438713185015807,27.719745041804646,32.47786587661096,31.741863398343604,34.71544308720976,32.6515508832977,35.1978347776534,34.102875645082435,35.57334487726253,33.05766355045004,28.23945941406543,31.036775626573395,31.19152512203505,26.553158089040476,25.77969546185931,27.84724077621439,24.85307893877508,21.22049103049511,22.18034125140508,21.962912587132177,27.61618441027617,30.019182393929235,31.113088211818244,35.11042361292716,38.63566591073313,38.00031141903347,33.08252950510263,35.5288949166492,38.4833875153055,34.68742657593888,32.10888265639582,36.03673434108363,36.10073805919079,31.982870488612946,34.51472374909247,37.057276594537164,34.51195168346352,32.594940633734545,35.12723987601318,32.06592233941767,33.781150756612796,32.52741462389866,33.542399470020875,31.93991892418403,27.379112939671643,28.620912042857743,27.97359586732852,25.33720073052406,23.005793444534685,26.06154156219442,23.630961898955835,19.315156820257965,20.16451349692389,22.835754842873065,20.039152184775062,16.563420504960728,14.128324854652998,13.97288043992998,11.644136636927106,16.303913339848325,14.365740421481854,17.043252855970408,18.748565411223158,14.530776639512174,12.918100216438226,10.354536100841177,11.583856024325534,16.154198855258166,17.841629291931127,20.884119334304195,21.587368631833034,23.37374219469982,28.441748016490337,30.363763554022615,33.2037169202535,28.723798334574305,28.523919347300197,32.93735743338101,32.013811485036314,28.473083159392132,30.870111301204023,34.97641920406626,36.46684326456481,37.76807792482891,38.472761667553634],[31.743314436081306,28.89442471158224,26.472754926650364,25.967663611804863,25.23140561747373,31.47438373998976,33.033591645201625,36.85617010248161,39.08439467657804,39.60793705572712,43.39007903847246,45.429294932718705,42.68753988024616,42.64258065845408,47.34945720654655,47.10062109512926,43.75971056743679,47.328631864187024,47.61648621142356,48.09805362428936,50.29905785007611,51.75416222827947,52.14227688897914,49.629804714980004,46.73010397849355,45.45720265764935,43.31576031045247,42.19010880813587,45.032146149938406,45.841497612264156,51.88059213205066,50.183012133928386,54.70248534291456,57.268031261509584,53.34817024372341,50.700806912397056,48.59560260717966,46.660239968087645,43.94488789144752,46.26207439497339,42.841036517436024,46.88882823961924,49.689188123884335,46.660945436360464,45.579569822041734,41.88692723378677,44.68246785266736,47.15503189543699,42.54266035270484,42.837522368152705,47.406688137530686,48.15025312359424,51.238050781847775,47.254504659918936,49.93030147642965,54.64633514006463,53.0488810782468,51.896319079445796,56.38994999905539,57.568913766261886,56.29661027849278,59.58945733366559,59.72393609945209,60.988820895160785,57.22783600112134,54.58418413775531,54.16011453588987,52.79121284535401,51.418269041894035,51.511392339245845,50.709758950499335,53.98024772161269,55.4463997976005,56.64282004646498,55.993040417483606,61.47391824215126,58.015250105810466,61.344381962299444,58.393126031470075,56.99561639309972,54.33271488637081,52.71711612241867,50.79993813427819,47.434561715189155,44.39435418805607,46.456947617833855,49.571348498772444,51.951919732090246,53.18115911642068,58.10705494396287,57.27205345350723,61.52468956264709,59.1940429851741,57.71296410148805,53.441430565003174,55.51131697949366,51.50008219370496,52.223948500339084,49.51239750747807,50.59750134216022,49.70609598575733,46.570405822701055,46.59982231257424,42.540437155028265,40.87537054608287,36.87775405034159,36.621904605908334,32.67478874354936,30.269546057526103,33.988514080667976,31.76490132962578,32.9856843852655,34.10686342213764,33.051253454098386,36.86776435783652,35.11763705903935,38.709511233432416,37.108257911403726,43.032237732213495,43.77363931871074,41.7950746396043,40.03995844903799,35.662466180434826,34.04406466361543,33.01392747944051,29.543143867692915,29.259070765941598,28.721221811174065,28.147107930710206,31.22022521975039,26.0558532281096,28.66187707594635,28.57274108369164,33.09137404368711,28.78196017187301,29.121222611206132,23.553959202003867,26.308820796135024,27.6982202111631,31.024317359168172,32.01589955519271,35.34917120285645,38.01827854849754,36.1455771038606,38.63582984321036,40.33811794667031,37.54268226237306,38.608150279751946,37.515015567022765,37.9882823437398,38.21917424507808,41.331314974401245,44.16024681810553,46.79025754071687,48.193777936049486,46.69024325449769,44.48823827318414,42.26937618852719,42.965830124821416,38.61186270252275,36.02459530149107,40.21940403398231,35.71890233760613,39.30774702184825,35.061526719834575,31.275481041692213,29.601493923991427,27.927691937687335,24.38900268703696,25.176523953703505,26.487466236781206,29.460237601560287,33.469701190880684,36.70009922659557,40.04140034381438,42.19631537018774,44.038128018933975,47.42113275856472,44.74155858300772,43.91177667207048,39.913820872979485,37.086571576272625,36.77471400899369,36.67257825073461,35.21526590311128,39.69218103076187,41.274803728734426,41.89311609034257,38.1008010331056,37.602786876650924,35.02297671574776,34.517838394586086,30.87629597959254,28.654791259542314,27.87155641441725,25.587236776964875,23.310653745617692,24.541249868147137,22.345179889813537,26.15637928434263,26.172827305529218,29.38283801699361,27.167482038188812,23.46747678081555,27.00723587197315,27.842939383895917,22.271638894687676,23.938085745676347,29.61681660788467,27.023741729095914,24.883711097064886,27.952040300727983,30.32389083257125,27.06689312944817,26.42429008743117,23.105849762805487,27.32717879772855,19.86359244668162,22.29646779813637,26.039196725500723,26.435559748212125,31.273403451747757,29.90884322931226,33.224932372807544,31.482595858589917,34.114863550965495,33.65274610456132,34.507001479599126,31.564169850435043,27.52598177204865,30.36657473695319,29.62189376479375,25.09484720740007,25.06295394676853,26.92492854799952,23.045542716706855,19.888717168146073,22.073202028736823,22.123267221090376,28.263633918297515,30.172234057993233,31.33623731400065,35.60788922122311,38.96785876783685,38.99050824303619,34.07541785890393,36.18472853290675,39.6028303013306,36.285411011059225,33.3571051579261,37.29678381965163,37.770610572822925,33.624852870546604,35.46195628514543,38.2768326090096,36.233300175137366,33.67395932663298,35.70993862297046,32.445588477124,33.89091032192308,32.85546752309351,33.16846848421417,31.449423398246633,27.591955146503754,28.325827650682772,27.006864904082203,24.706480896678503,22.69167166994495,24.580764979926265,21.776057894899527,18.423742557087408,19.013910871769465,20.481607539521832,17.45070304915009,14.726061349771403,13.702457684277837,11.710245146023261,10.89344589069194,15.665795968434312,15.558054290204357,18.390861171116185,21.226332088100282,17.30608719845672,15.44584447233774,11.996261153389344,13.398631386596541,17.347033276457477,20.442880627689696,23.109032966209078,24.82384357633751,26.306965449862663,31.03460390898858,32.56961067295666,35.88465409386958,31.805016701667864,31.16386788498337,35.61832894441688,35.40191608554065,31.789193712872628,33.59515410750136,37.76692013523073,39.20992222813018,40.37645703251938,41.02148128069168],[29.65303050378433,26.530614327648774,23.477251470896043,23.214787762768403,21.597531208192517,28.074780477963042,29.42732651388359,33.02272056004436,35.571586049785374,36.087427240044256,39.89596607695245,41.70026829876198,38.87697741711456,39.21334742875749,43.74372934754274,43.27717052397001,40.05405488664135,43.66200666167008,44.206560132313946,44.40899653832775,46.782943594275004,48.12627343128493,48.778768076363704,46.41091192652642,43.340025066895166,42.10803651808587,39.686968204329624,38.5069833915279,41.16665891667167,41.79088491093456,48.02233741544961,46.04842769952222,50.568155401779364,53.13400492342975,49.16000349732492,46.65072141188808,44.32927691755992,42.57174701355773,39.89279605027708,42.074412650523776,38.96098840905605,43.116299298689306,45.89950019561715,42.99461924329808,42.225358640125854,38.586706396608356,41.523684869067935,43.662536142509516,38.84441355902378,39.35643539778391,43.769136931832264,44.341084702150575,47.403124657905515,43.26593188758014,45.75057302899911,50.57565410574439,49.16086402490481,47.8298211084263,52.23291895655089,53.64529375607744,52.446566291329894,55.66423341458786,55.75546579195654,57.26252025698276,53.52624448535626,50.75188157606604,50.62148460433285,49.13648884121285,48.07629771045104,48.119006050168295,47.54901877121685,50.975976890489314,52.14523202953759,53.29205063928538,52.349098083839515,57.729521940540046,54.12376644554474,57.302579521002436,54.261967401889905,52.820335790266824,49.996581816873956,48.36426930165563,46.27524253276739,42.91761753346227,40.01810688462497,42.084448332811135,45.380678407636864,47.60680800541839,49.1040085181968,53.932875223214594,53.302368658875984,57.657810809818876,55.35519562902292,53.80423094803355,49.613004935963,51.821166536410175,47.9067686871095,48.27422073325972,45.52924147250562,46.496461130763215,45.425621274886936,42.14341892569142,42.1006318644986,37.93690483242315,36.12490951990867,32.17956593289984,31.84251840106176,27.871496494799977,25.574904025056917,29.35359162040673,27.34807734635134,28.592472030543853,30.048955283223997,29.070763887148708,33.15166972822303,31.591649090484214,35.209136731597816,33.89301047613938,39.894167686920085,40.39066030555343,38.64111827929827,36.79931040611685,32.61532318105085,30.76754728142621,29.585218811149687,25.76566215382116,25.259096915633602,24.408702092531357,23.584337250265868,26.497171160400427,21.281866105227593,23.844415638671297,23.853612160562957,28.323033549075838,24.16002629240855,24.661905868406762,19.15060215389443,22.338480465891337,24.15864568866492,27.31235683667349,28.89177350076591,32.175082407366155,34.600882771657325,32.49793741992271,34.7884612663864,36.37090589683088,33.61943833347505,34.52137496836826,33.25427256124951,33.9040938257663,33.969520209030506,37.32792088489573,39.97571423424453,42.94592824712737,44.23867130826154,42.519380366278,40.34117612304703,37.92280346810965,38.6674086759293,34.11639156373289,31.625769675884314,35.94510492177654,31.649538584081075,35.09190848662916,30.907702773393066,27.472950778836164,25.53457937439766,24.279462363307772,20.48529233490353,21.319944298263067,22.272780835711348,25.329898584808667,29.104740818623533,32.21785726955308,35.53268791781379,37.581571998582426,39.58490324015519,42.79763646892986,40.18263048117129,39.24591593645062,35.36145879837599,32.394581171900995,32.09996062828615,32.11435319197289,30.739127043691486,35.402794105621304,37.11658406093033,37.88806966958112,34.43316449219915,33.785120926642556,31.25589734114259,30.41875181022497,26.70099319831184,24.265380749577524,23.347907277514675,21.03673991548079,18.550876561410742,19.785268128848937,17.659285718488583,21.48695789723655,21.80416100895519,25.027120667871007,22.771137172188983,19.334627887617827,23.123601850022506,23.996991776616838,18.67064684679443,20.606882438940822,26.283491850950575,23.921776464190266,22.20303573297645,25.435005946396743,27.657907128041785,24.8043383221558,24.657530227294846,21.259530916252977,25.544084249332343,18.396608392046144,19.97694531747549,23.896060740207183,24.31318368456404,29.323067499666184,27.790684747935252,30.609585082495435,28.395724356872353,30.74322545745976,29.8141723350185,30.82714422106407,28.27834995287387,23.761178802141956,26.372591719844454,26.09691381885445,21.561390202946807,21.00260382064311,22.873721348603866,19.57746409055937,16.16237409999274,17.621249158174482,17.719308834430503,23.650034189796425,25.750199741195402,27.111035109319943,31.2615439039922,34.84118830663181,34.60564802469913,29.713257262799452,32.207461885551766,35.50542564348485,32.07363669184868,29.440917593431347,33.59664578646741,34.105248535697164,30.11483189852958,32.16430565533782,35.096345959071094,33.1983820431782,30.85798955818317,32.967458711329876,29.624938577300746,30.780022715032807,29.30430389694729,29.793303803871346,28.584374108100043,24.37464966997008,24.82071711012672,24.094770800001406,21.905502003022796,19.194222962012358,21.567092561736715,19.539983648431328,15.590611786159181,15.59307988206619,18.046937471590887,15.767223173154745,12.543074294802636,11.268735448099628,10.993020971933365,10.455886265101624,14.97514033070059,14.07659289162895,15.843204051251782,18.603977474870675,15.310879263574078,12.70003880837077,9.225013296868259,9.482249201291756,13.356689128729531,16.231358914942874,18.53828468276206,20.493424554667264,22.30377876908309,26.77136335303738,28.47938799634434,31.747058354023658,27.81417153493975,27.53132277632664,31.996818501105295,31.691295938391168,28.550505229184633,30.4846237098343,34.66658889141754,36.064949485244,37.235927605731945,37.94328206228509],[33.29196089093143,30.04246355137891,26.83984803253678,25.685782423446064,23.612076796860645,30.256263674000547,30.94604110506911,34.634960169089744,36.89695921840739,36.720975519045794,40.49932776710347,42.59925626960309,39.15560817388723,39.299231738331166,43.71788409663871,43.17900356307249,39.524422978943726,42.708572528141694,42.62389140913407,42.781990498388595,44.727915805124624,45.850883319524534,46.20940947397335,43.59791438817611,40.79456625213552,39.902305881781295,37.807170422223734,37.14217711730556,40.228179996989965,41.38411500268681,47.54981118344585,46.02430451464083,50.61396706736502,52.75098352050387,48.669056451067746,45.80586587603533,43.83845013623462,41.344308425592494,38.38950659733236,40.308613826547365,36.826254009313,41.03367625735205,43.567149116019316,40.359723969012194,39.168806374946314,35.37232600859419,38.0108160539227,40.574318308705436,36.0606893436095,36.07222839324851,40.68245409549668,41.495934198794664,44.6424564846286,40.89425070032113,43.65583196818898,48.27682952140071,46.66048029521581,45.78538539132141,50.29300606503266,51.21481333155005,50.1641575933457,53.68736730989347,54.09662243591148,55.17719789419597,51.31135509482709,48.90000517630343,48.775797354172674,47.74083473713985,46.60923682098323,47.135967564516676,46.39258066843126,49.768673739710174,51.04909435526879,51.7852279090432,51.21088110046319,56.44216801371713,52.73056033167979,56.1698745653222,53.0488308748972,51.363696177843465,48.87016706295152,47.00054697031738,45.42149265526175,41.89019490256846,38.72740558147916,41.1349172448619,44.0622633835233,46.81263336227312,47.93237109805111,53.14755880937933,52.4431093407955,56.784386656682855,54.77121636130002,53.57041115212707,49.519298612059025,51.89476701002665,48.093199877989136,48.65855012997106,46.22632598606098,47.74739248342788,46.05390047891815,43.26557209190998,42.54253801554523,38.853192092521276,36.61141144222132,33.09399599781978,33.12048160413242,29.094595572125037,27.31787161614727,30.99582721546389,29.08490966542523,29.45854547852265,30.995860909245746,29.26461942013674,33.03324454246895,30.9369329465621,34.169340947130905,32.30098584811977,38.10373246545491,39.21397476557091,37.56560635586673,36.18048130700087,31.82694448865964,30.501656438023463,30.004356852332467,25.974824251133192,26.67906724557429,25.236507004744908,24.665015434183868,27.12244028137695,22.0335287462773,24.59990316205747,23.619134814066715,28.350722742566813,23.697865002852733,24.346098062623938,19.093677385664705,21.578230679519304,23.082337349968746,25.976823935188772,26.688236159117686,29.53276093253664,32.49331450694526,30.84338905303135,33.11889139182094,35.31439271456668,32.76249302075288,34.3088121339423,33.53862524045958,34.702843949219115,35.3485229452943,38.92589431572191,41.8645993549803,45.141952553356944,45.94915856521242,43.939420263497766,41.35039074899919,39.04664002700307,39.153670748188,34.6992826174801,31.386870073108348,35.23335455793106,30.35413879143205,33.69077841987784,29.092838675685996,25.141216408498348,23.374150592647524,21.324061438161156,18.03906860465463,19.19795191578809,20.74932665770474,23.972996124227585,27.94084481664675,31.384700467958726,34.93081870156428,37.472427218458876,39.44448815595345,42.70309818682141,39.564231860750006,38.83969532205576,34.40949765974956,32.298721884446294,31.48814959627881,31.033561590316477,29.412991256268832,33.56576845839443,35.15889761252521,35.43004844151313,31.510631415518855,30.96434171311812,28.361940770632717,28.136351011264814,24.650566985327593,22.792852827979463,22.468351870981124,20.75413813595973,18.925971580742758,21.06457637468149,19.92144150084856,23.78577571311556,24.94651485826018,28.152696273529163,25.65583716324059,22.93747830794079,27.04057142142855,27.718987322417647,22.53261772508264,25.01261728440923,30.601872959138507,28.028378452478893,26.682755996492396,30.122268828686114,31.980578308228562,29.04458483888796,29.38544236209331,26.070290344517282,30.583121494028507,23.611037888256273,25.01817318307017,28.986478125512125,29.3050051979126,34.35902616433274,32.54379925950062,35.138788673632554,32.64914124664258,34.6305813726168,33.36322093007553,34.0881845035421,31.943830818851545,27.354437189076897,29.366736307685095,29.00299650777814,24.767852294386028,23.792885428208592,24.90971644084085,21.94220904178516,19.12126036902463,19.204028970365894,20.55835450806797,25.79204768594241,28.233193216797808,30.284639207204833,34.1982668501738,38.16842841847818,37.55136817548388,32.765090115430816,35.89269339789793,38.98216049530334,35.32391818145125,33.19939344781109,37.54693151092492,37.962444343402545,34.13594252009652,36.52237552818997,39.44926243819741,37.46002140214354,35.4587177110904,37.705269238066315,34.36824486352434,35.350208568824065,33.51858669012503,34.063048044446205,33.287860075197464,28.92423468389411,29.02942311429997,28.677110225732456,26.690444172941497,23.499922595809252,25.776620745757096,24.280817489729582,20.377625301951273,19.62889924295802,22.18132535810866,20.398327607560805,17.39761126402104,16.35374647538409,16.06979267546655,15.509876554605178,20.1680299907389,18.843786979999518,20.506191682956622,22.658653443949074,19.226769709332434,16.700239703043493,13.722783451943547,13.311238263184492,17.294063683981342,19.08736655555446,20.900946825539513,22.36162531520913,25.127473242704546,29.47937579423444,31.684839628693812,34.546101455660995,30.49193091920956,30.94354112188326,35.365812179388755,34.358374813826615,31.671942998029298,34.15497272084242,38.264693302545304,39.64974610059547,40.858476256366146,41.54712013819591],[29.159210578275417,25.75976301890797,22.253040884936226,20.9803126980668,18.46195482690989,25.152484126341832,25.72696963477068,29.367343132628115,31.698989349224668,31.5986684537312,35.391821749277604,37.389390715873155,34.0480613243185,34.328274791476595,38.73756014869882,38.18721209566777,34.69683921139532,38.08277502251352,38.37905309331223,38.550922868285404,40.806401320934164,42.13876494390244,42.72557128224473,40.346710441440834,37.28492585442532,36.09255986387946,33.745014385543506,32.72864167858185,35.58532472921774,36.50985817147735,42.703153840601615,41.02541341162072,45.598668291886824,47.901944563331526,43.8789485156991,41.15144235877064,39.072458076805276,36.932518799083596,34.163544893741545,36.47117725750782,33.087704491536186,37.1845786906852,39.99091705052114,37.066389170809515,36.240636356614466,32.65426714512926,35.69923757065614,37.81414968551731,33.035625069034296,33.76948934713133,38.22877709486533,38.947088999510214,41.88112835116797,37.62789249292389,40.35162223818663,45.062581044494365,43.42850536103634,42.13816545004305,46.64232971292988,47.9216467963472,46.57617556393466,49.82714466998253,49.97437114884231,51.33062300877258,47.569675226390956,44.87784271070708,44.70262249365611,43.36766353897686,42.31665793454538,42.579573371283004,41.98594288540261,45.44865320700246,46.57554881897301,47.51892562261068,46.69712561155062,52.02279799341383,48.385467380407825,51.69815621278493,48.663724520904765,47.196382414102125,44.57315318423329,42.95514428982603,41.17308016356689,37.806161832461065,34.642296171554236,36.727679169415076,39.78459419262088,42.2753649909749,43.487936546304496,48.51147680485117,47.79252545734944,52.137071996332594,49.983289199384835,48.638210994150775,44.53571577147679,46.87789821574023,43.0607284743423,43.52983294210547,41.027444866146155,42.48729449243096,40.91106071934423,38.118975571922974,37.55496693964541,33.871268302215526,31.992741040788456,28.25831765415288,28.55741216051459,24.671993174178887,22.59470065519375,26.0988479769421,23.947265206290865,24.296278060368543,25.742190632983238,24.14314274246329,28.039484684318246,26.170567209168226,29.590551314127193,28.086021848218884,34.03923818254623,34.742405859435834,33.111984403391304,31.50058582753487,27.2873168834848,25.677984018777554,24.94809369030781,20.85921294205089,21.401256186629844,20.033887514241947,19.61448879613764,22.407734656922983,17.505977795331855,20.600807952863086,19.827002586158745,24.244687776805513,19.41914751975136,19.605928600732227,14.168920848808884,16.777109920265215,18.469514675662392,21.506635032723356,22.888900227670447,26.093942005891297,28.589349184190965,26.60029911044584,28.926573051507916,30.73854187588943,28.060081327947145,29.34326625761405,28.448422629703902,29.474908497418138,30.10735546932466,33.65008905607343,36.64293585774237,39.92000844670672,40.67587639386317,38.68426939358892,36.11189654613796,33.853017139666775,34.03672263258973,29.662035661650346,26.555706161768185,30.576178333243885,25.958969470242177,29.499724802436585,25.29352967991671,21.57636940872685,20.020470658345953,18.74181432397928,14.997672223178213,15.450333910825055,16.72576144749605,19.65536705901428,23.726129128795577,27.045390228061358,30.439165109966012,32.83013257984261,34.625640510262706,38.06604119810389,35.16886089202186,34.52826648411553,30.37609183790663,27.832207970366238,27.66144721239723,27.676486258647856,25.852137453030966,30.17455576431512,31.557349417244343,32.48256380898225,28.755923782700968,28.480993161978706,26.23767075525191,25.41623919852022,22.0812782811064,19.852357582809535,19.536174813008998,18.060814115368178,15.27697321572537,17.568061181447476,16.153768529773167,19.512413358555765,21.23749514148262,23.954350141582523,21.089640030203746,18.907491686472653,23.2389992597546,23.37559361860408,18.269057500291677,21.355763911226347,26.732454117782993,23.849193017430025,22.965542253446994,26.616031975117156,27.999231241108667,25.215526257876526,26.207843908618614,23.04696858395306,27.8157950274601,21.640636271941247,22.45231756517716,26.573783682057567,27.489807155601323,32.44286288672878,31.108559838310285,33.28001538969251,30.49447360184862,32.37318075722684,30.561399405822076,31.90820160382776,30.156059858812345,24.8894022785542,26.920110064381056,27.508638430600705,23.187479683732242,21.5555182427372,23.087707997270243,21.085092480071207,17.67989639004437,16.810492586938658,17.524178588834324,22.34019307442755,25.127874893505084,26.96308105240678,30.639498489829858,34.668802923772695,33.57860530721889,28.80944889438267,32.146906947289544,34.883979083069434,30.932290318241193,29.08520431144235,33.433422758960354,33.62066613319841,29.898598701480214,32.72263176266107,35.50149757995202,33.32938413819548,31.779260191194798,34.302832941475565,31.105773841691548,32.152544948480426,30.089434990708707,31.181421802777972,30.60772782197377,25.738519334964266,26.149420798667588,26.44125714890697,24.272398795847394,20.77455542699085,24.06369147936997,23.035983969443837,18.387439630202582,17.81509085022372,21.497666670025943,20.059741462407928,16.48873037755111,14.470522169190453,15.94931997274116,14.732149267135313,18.87622721975444,16.394833970832153,17.267088147404056,18.727397731754852,15.770325821444297,13.036259906022536,10.851626319069554,9.5769964778109,13.599562820184685,14.313399094616276,16.218931571652874,17.20633404933367,20.175328858285766,24.57733706025398,26.997077850294176,29.608647188132814,25.439060568530962,26.204048757678468,30.571384218806674,29.269868823261945,26.835728900683748,29.575882390080512,33.62654586248445,35.00898321994573,36.2807613857636,37.04660797806452],[28.35267117312619,25.056591849935973,22.048582904481744,19.63937077023028,17.90621076839072,24.26562304884967,24.667195182764736,28.69325596195898,30.34962936146979,29.942022913293478,33.671972118476255,36.12324003502128,32.72092462608969,32.3665939835417,36.99499786381057,36.78602904488078,33.07630615646777,36.39483574330389,36.37564957285043,37.06186224910426,39.16657223332566,40.86135718645861,41.11191478309192,38.668802335794254,35.73744362502172,34.24382604517747,32.283850514645835,31.18063214307404,34.27798970989666,35.52472344292368,41.310268780034534,40.20085190612801,44.75724448554135,47.01934955497527,43.1408144567705,40.17010128723003,38.56105043508878,36.188829681813864,33.498010570302164,36.42485149039145,32.43998938036757,36.145741014944306,39.196664490237495,36.30017963587414,35.17930634428905,31.747854368454064,34.89808455258517,37.212798408642996,32.690783436500375,33.74309506884736,38.33604131367362,39.36203465560385,42.0565853087542,37.65600433659809,40.79747533647857,45.26194618796985,43.17017193049545,41.89806912923351,46.5795047344705,47.64373002970416,45.84427893929703,48.99904880016502,49.040148546987034,50.09166653567696,46.38424594252868,43.76297085340124,42.98876154052618,41.71583720299519,40.169439791660636,40.44813609087197,39.54374183857671,42.81440051440351,44.317519146944605,45.38616767217237,44.963703805994754,50.48379947894567,47.16936478829244,50.70534616859758,47.92480568396413,46.711144043605294,44.41231715925023,43.053680702258596,41.6169288198454,38.42730240346711,34.90640873800795,36.686361051907355,39.33062251269929,42.0119577300158,42.635147367251456,47.75193585641326,46.6095394284024,50.74575645573355,48.53113596380906,47.3282764657642,43.1166799364698,45.261973117697124,41.33377479098358,42.42042062735694,40.085663071692366,41.99178951685369,40.536434495230466,38.317947881618615,37.71814745972071,34.54960701644643,33.231993608245276,29.413801387784023,30.391924036393025,26.792049370051153,24.425576911294634,27.469654790801037,24.69058958219422,24.502276860197224,25.174556882050336,23.21508732524738,26.514544001862344,24.296165235816666,27.671976944655114,25.80878865381493,31.68209881822499,32.629084497516466,30.660734750164995,29.173945754252298,24.691521424465957,23.452640256031863,23.116038066219808,19.592711981584607,21.030913908475586,20.137335840887978,20.5738821056708,23.804396249992767,19.51816314786439,23.192612046732215,22.11786423814029,26.17037241152188,20.828634997676158,20.11683930577951,14.79084499653195,16.037914394145904,16.746811749263827,20.158717819330075,20.727708904547242,24.287219105466406,26.870231276263024,25.148244224938956,27.903861824596632,29.72111333187843,26.936862141899272,28.514858310901552,28.08225897230713,28.85050774757114,30.095194593166337,33.22988578598446,36.76476425080556,39.62423706823586,40.19983463093668,38.449143157646624,35.635184312474806,33.89250442602883,33.72561361197856,29.962152979922966,26.58255647763435,30.245717809247406,25.376862888039433,29.350875771216547,25.467275214327962,21.20233151230145,20.671597905441597,19.23443680153184,15.906746465925917,15.380455477547882,17.293041710868845,19.52224204647949,24.15234447049041,27.591127300465732,30.85539643125808,33.45163910943996,34.65215012242366,38.62781099247874,35.70056828547334,35.501725533389525,31.31518388857266,28.967242056385587,29.357557015587595,29.534764243303123,27.224890692846294,31.022387975017107,31.771323987590577,33.023238983646976,28.743203851420564,29.19464532593627,27.355092934121704,26.709684609036007,23.94776176591224,22.022968525469686,22.23641650647242,21.370092126712283,18.280601840201104,20.909625887585197,19.41809517329557,22.13902779965516,24.305966112212023,26.424240854487078,23.099014330324888,21.390809664190947,25.762917899148015,25.099565118924378,19.704410822709846,23.38327492167382,28.56058659677245,24.78047808472231,24.017494620516562,27.881243573819685,28.690162292016854,25.408038723381363,26.843132511237343,23.96464771258221,29.21466438838976,23.523276746362857,24.663313084548747,28.890511872889842,30.472289270179715,35.23159538213006,34.50695720605398,36.760443006073054,34.069471510095404,36.08447481509069,34.11629168384359,35.850576239878635,34.1467851261193,28.65467893138268,30.820140157380127,31.773864506496587,27.391872399419917,25.62312836387501,27.318583183931544,25.558537111921183,21.99157692103483,20.877532000364116,21.23919256906902,25.710854009103453,28.709445868324078,30.28908594198198,33.77474280554568,37.73797238004806,36.270547136008986,31.5430029400921,34.84720663303551,37.23468570703633,32.97763018872035,31.253766049283104,35.38771263792012,35.17939371228726,31.41454604061829,34.674469551743954,37.10832932355506,34.40701616221527,33.29177049435465,36.16959183248305,33.223088627630425,34.69101520139465,32.7775072938787,34.318366233818466,33.47460820253198,28.32228687261771,29.355770397095966,29.742096856712188,27.240970907853775,24.0421430591213,27.852372666050012,26.524405624402252,21.603390872615257,21.68883575263115,25.500716479802,23.665495944594294,19.88434944184708,17.089582011946945,18.64781056416758,16.368486587511487,20.51203735533568,17.242373343428056,18.614313396757368,19.095819509429848,15.60535674315971,13.69921055502268,12.39162904436127,11.86530444945705,16.218338925575452,15.826191647003043,18.30017241198755,18.0054653626783,20.982211414174436,25.814227376567235,28.44279450391173,30.586621826848905,25.972987525040335,26.921947868843922,31.180052879672317,29.23804434165121,26.595062315328423,29.806927154482402,33.738054818152925,35.1769238787,36.562686346375436,37.32690614873526],[26.92776452437064,23.50407280530105,20.147235149228855,17.219110661518187,14.613963819575355,20.838212896391504,20.6118184167528,24.534730212883925,26.10388131989613,25.357538391631927,29.06912391191243,31.524036649519388,27.88644561835475,27.633007822614267,32.1468492794558,31.85279058894504,28.11310297632399,31.43423491016846,31.55829306291872,32.20003235744302,34.45867756977084,36.261296126196804,36.6595510885224,34.39299753349494,31.2907612950155,29.625286995577866,27.51114177070417,26.25533591607293,29.288038269384945,30.536308902884652,36.32361038520146,35.252866702142974,39.813149457763416,42.028724900511946,38.163376684046,35.18403964484216,33.62447677538179,31.29615532428166,28.70131114532095,31.930950052842128,27.92183022016343,31.494161687349838,34.717899528970236,32.033181992337056,31.16918940117953,27.958393569741308,31.40396294109593,33.34566309479964,28.714711340223293,30.365421178837348,34.79179377844666,35.79013395060257,38.25443052665988,33.51910387191563,36.704721524968086,41.12668689151191,38.953632875673364,37.435361188530514,42.12083491177968,43.35739359665747,41.32918705426705,44.3123797684072,44.218039826206606,45.39411977226084,41.75209669789735,38.98900045271268,38.20484964581058,36.80816136397542,35.36643838939769,35.593919653388966,34.81119313213843,38.18323795089461,39.51392582395351,40.590407322139846,40.030071433288505,45.55421717427784,42.25065142540939,45.75052519291031,43.01837572095361,41.92180346836597,39.637213443268514,38.44642776849591,37.040373397032695,34.001652866044466,30.385025572475918,31.937317407253207,34.523330638897995,37.15175241878046,37.7063929992742,42.78119655937302,41.61534216407964,45.758908242207156,43.5457332280954,42.35655616704383,38.181268297409495,40.39928031028531,36.538442136355464,37.564506547197276,35.32813554257868,37.44586685995206,35.76684565098396,33.82666556058718,33.0313920482148,30.179607865531025,29.08203767700648,25.34443161655656,26.83869139344384,23.53071263300024,21.211617493485917,23.82376294141901,20.897589175340233,20.096714521899695,20.65631737059194,18.386618121496802,21.612458100281607,19.36482558602192,22.745957822204314,21.054540953925173,27.01466492711448,27.768812164649162,25.91637800355534,24.40585596573748,20.02967835421904,18.72799465499078,18.54390235305268,14.825843416761554,16.94582361035912,15.807065448027167,16.70088538647117,19.948472353261746,16.34538956604504,20.416095501126787,19.10509557848757,22.64730398818939,17.062023424960213,15.717853560113321,10.716141262466568,11.180760299320667,11.77756985273771,15.238564521078448,16.21153034225051,19.99086821259847,22.21425800643564,20.30491093843441,23.10500726529096,24.762385284409223,21.949454121510467,23.569883780626334,23.297383592806202,24.20426238647714,25.77386488525976,28.963351476103007,32.65977943455131,35.69639014805023,35.92694687784745,34.02324213975778,31.023079647569386,29.407681385604338,28.96049277043106,25.41080265273216,21.851602790070935,25.387595321444163,20.57240953935416,24.71008314906881,21.201961493833625,17.048274173532572,17.047912850355992,16.275592749797482,12.994910274105418,11.458792515038077,13.334280481293735,14.98150999683799,19.774088204074296,23.15207632338599,26.278507869160734,28.924970218074783,29.87211727651258,34.04068492604844,31.153521388430192,31.17619962808482,27.113032632421184,24.783710854435128,25.67657146500685,26.159393463998803,23.545442314144374,27.131247431317927,27.532442375612604,29.29546206153015,25.11354595117004,25.94871305604093,24.575084725155204,23.562829974201957,21.27106434746914,19.360900638041233,19.91234881896579,19.71816204503899,16.224855165220198,19.204973157282456,18.058575892969262,19.95333238208332,22.985043400390573,24.45774657290647,20.80622805305649,20.19941416242875,24.64945475775791,23.390498923908662,18.575887520918382,22.842239511150687,27.48685584874179,23.53643923311937,23.508093938217502,27.469041546829338,27.61824213436527,24.67802565395507,26.934788163555005,24.363834931739063,29.643849349310152,24.955504757695476,25.369126794024165,29.54916648246182,31.472202930697872,36.045504944153556,35.56219839847585,37.26929412720456,34.24848092196441,35.9326512344834,33.37411327873134,35.48460412398471,34.35861843427638,28.45218133512354,30.26910197130806,31.98781492301897,27.84228538999545,25.434850350240495,27.084610030164416,26.363233092617026,22.77507533819082,20.418190902918074,20.68172517047065,24.078384856700602,27.4085253679591,29.030754385130685,32.03178484476982,36.12260917307966,34.04219915030698,29.547335570442854,33.26993481217144,35.13838972413447,30.596655135109682,29.492048400930173,33.60415728725205,33.14295992915604,29.705132702488132,33.4535254952301,35.69911254943473,32.890508571575445,32.41628782369834,35.51625156705522,32.770402544998916,34.12094199973626,31.85199224161672,33.860371490822644,33.467724603856986,27.986999351549425,29.050345497291108,30.171356508412586,27.738243030105373,24.198090719965986,28.60872824932888,27.976165041115806,22.75290325958321,22.624767281928907,27.14254098914688,25.88425386792953,21.980199435678607,18.880320788730373,21.577540799050272,19.243342872475804,22.731573482656888,18.71438665326195,19.07429699750018,18.576122699981134,15.999748934782875,14.1388800235864,13.99003008728894,12.529472392818091,16.112674049046024,13.99282046702357,16.017670138905835,14.697525852941668,18.324506829709772,22.860152827792536,25.900696308154117,27.45794369608466,22.819357842571122,24.543480991436745,28.556842453672996,25.941462940721763,24.003283416637238,27.694397356034735,31.40186655602069,32.777499279675425,34.21022169969387,35.02571901753252],[25.771377132404552,22.241454217492613,18.408176097861055,16.88134066175302,13.704370150125907,20.407729803953128,20.752396228466047,24.33962362405585,26.712296389587006,26.646252640098112,30.445870982668666,32.34711037923948,29.093911093032084,29.51282293315823,33.89615381566312,33.33912921076336,30.0263489261042,33.615070982138384,34.31698346646321,34.51863117647766,37.08748543838585,38.64968198485815,39.46093127661165,37.34811580010811,34.051556587307886,32.53332523422006,29.94273401957393,28.534962330872663,31.12408807518641,31.80562098318862,37.99397965471925,36.18834636385894,40.737598523127176,43.20356458419844,39.257726763217136,36.6686390020239,34.5052914696537,32.74769313726238,30.211498793234355,32.96956005156898,29.69593950679915,33.602602799834195,36.69122739137143,34.1055057436043,33.668997621784754,30.376985239415223,33.8006548772194,35.42038860974711,30.44984710738936,31.96122112257887,36.195269960302845,36.816943230986,39.477251608048626,34.736207757573226,37.42003900120644,42.1579162261054,40.48900607092771,38.7736452019017,43.25158754479647,44.88174135349752,43.213126083254984,46.153621782239824,46.02108740828828,47.642772635456275,44.01594491095622,41.046819904142616,40.793837904672344,39.14836815107322,38.17631057500011,38.159437858856535,37.72411688415989,41.262000133212624,42.22546501438901,43.38159847002023,42.31314042341925,47.72538460826243,44.19138004100904,47.37228388260632,44.45130607884117,43.233642163574714,40.508035411666896,39.18409225091564,37.224439977720145,34.08036188743352,30.91122034405577,32.598100495641305,35.7466826377735,37.957450913944236,39.226942837994685,44.03702842010467,43.283394197206306,47.611182236382625,45.317593210802585,43.835594107196904,39.68420634483942,41.988910225715955,38.161781709660396,38.54949830068667,35.99345624857197,37.43762179413974,35.962732455150864,33.23097196634169,32.8139166386453,29.208127949422853,27.797371965280178,23.844032657717875,24.55910997679629,20.934062140819215,18.512168575332115,21.690594322881257,19.19604566108697,19.40581100892281,20.688309218622493,19.207351396801716,23.216867787327203,21.617573280543063,25.225063207784743,24.156980669334654,30.20870242769497,30.453901228360934,28.85633191314365,27.00758111377171,22.996359922812083,21.071746953315575,20.09032647338822,15.936790198006843,16.37377049370612,15.095065205069695,14.989230535541108,18.223427969662772,13.783072201186076,17.540678266812307,16.981007606562994,20.830460409923525,15.846664415834706,15.307089249844868,9.74647177869974,12.352115337899715,14.23438905040598,17.401129331496303,19.57200833400738,23.12657963243727,25.029440543464318,22.680101069796997,25.051340828275684,26.39670591462215,23.58714305708171,24.570521779457906,23.56871828594271,24.436292598637717,25.121614112467505,28.61552385843701,31.716646201316223,34.99659987298396,35.64576162910168,33.663848584715275,31.074413607294282,28.90535320190812,29.124678306660886,24.90301084870382,22.017059218458296,26.184419933885724,21.90754113019754,25.672753598445688,22.02562712441443,18.664068242616104,17.50807137420956,17.2070025645022,13.238802875958294,12.640210012227046,13.511569147418331,15.865126167421739,20.011243822439727,23.13546272714765,26.30105986552255,28.524294649567462,30.057880024900097,33.73312760736111,31.110785242394762,30.61353550380896,26.811252552415457,23.83036988826842,24.465720548344116,25.027291042240925,22.960479592832453,27.326551127971076,28.39828885934307,30.0507951271238,26.57888010957626,26.65668912789652,24.897893541079146,23.473068293793503,20.49372501116779,17.992471247378617,17.776264766968254,16.76636928657798,13.015261719768374,15.426525852188307,13.8254853422156,16.246641210906244,18.740222068415047,20.696649556418123,17.3686150849439,16.09976208636394,20.573102922236764,19.949348505831768,15.13357430074503,18.958735634079687,23.876553093874772,20.621173569969713,20.391043867146045,24.20655732776706,24.929983783649316,22.377915474904007,24.179613686096364,21.332941559583503,26.254501814222163,21.236386070462405,21.356850263083967,25.486145679310983,27.03020869012789,31.7258290283987,30.933884320293316,32.60548608320653,29.565807808142107,31.27068515861562,28.882084687535162,30.873014592851128,29.604627582582047,23.775892965639123,25.71982356020652,27.310727824150682,23.09272736012258,20.813641068323406,22.669213508997558,21.789146837365344,18.066956124741758,16.14332781287874,16.10735948256353,20.0615351598174,23.192700884453846,24.75066694517689,28.030798295775348,32.07760097149029,30.408616556825837,25.750439502008117,29.320532273796314,31.56938845664975,27.28275545569941,25.85061004921589,30.135055746562344,30.020292781912243,26.487761435116187,29.837473575822404,32.3864065589803,29.99752167833587,29.051380768673056,31.87465767743033,28.910306275335117,30.014536230969075,27.711660511051058,29.425649514905672,29.105438129078557,23.781331859055395,24.536972162661378,25.560557390730033,23.274517476806917,19.583221721621694,23.832979365918117,23.345427013010976,18.19469113217827,17.842598981413513,22.419726627942676,21.398915352016132,17.55760268918152,14.753097004177425,17.771290012544927,16.05353803815985,19.333365063194556,15.771502189208215,15.62635541228394,16.00356831604999,13.866780717706321,11.179961464202636,10.505456994785188,8.308265560096252,11.71059504462128,10.510791433741101,12.464104310395392,12.510370476998576,15.84067644820026,20.258751919423716,22.985172203539147,25.184095000122387,20.863396141388076,22.118834940505778,26.354466401788017,24.593131874543573,22.549765234324187,25.65754410119826,29.575666501806577,30.938492201449257,32.28460447807549,33.1306310604313],[24.00101837350109,20.609435903120126,17.309031393944203,15.72398220495207,13.837188708563046,20.34407267403823,21.290981237155634,25.170227946053956,27.29551107261925,27.58811823525864,31.38508884108855,33.422813877168046,30.58518924379103,30.645667176432244,35.2961416570585,35.03902449325039,31.833914930562965,35.603521640942745,36.36976281320092,36.93045659214243,39.54339052441791,41.372465368189935,42.055508690931354,39.94324168283329,36.68446497345693,34.90532554241655,32.467454625081444,30.818184220395082,33.36206787273357,33.966822663875824,39.92343692417366,38.223921663507845,42.71900689790506,45.401867965732364,41.60042611515016,39.050253304665375,36.980413145230955,35.43656895579926,33.04972282105192,36.148694988672155,32.71809635824422,36.41390212508226,39.6714358454675,37.14971062718483,36.6118214717379,33.38308366537653,36.838639183564574,38.56220392455532,33.67619501487194,35.276055264111385,39.56583300396203,40.26755866600489,42.86580745732702,38.05388190147397,40.817072504418874,45.5106086920336,43.716949370379595,41.930067108926565,46.44556854229417,48.08899518666587,46.20561641762878,49.02209066311473,48.7402479505793,50.326387627474375,46.766549181246695,43.739017062584864,43.130306635617046,41.35684777304141,40.070220492177285,39.8344113126918,39.24241230421519,42.64314300196805,43.857614583782166,45.29744048131949,44.349049262279024,49.94866399916582,46.66074986163364,49.858873766084706,47.11233101459335,46.11196035990045,43.41939162563399,42.28773174589839,40.28073097264379,37.269544857186034,34.07474623880338,35.51353114698337,38.60662464560657,40.69349784856314,41.82067479212379,46.504308464334486,45.54188458079984,49.741816973687655,47.26410546212529,45.6825330926173,41.371930904893816,43.42940407366464,39.43561066223377,40.14006501257954,37.474194493263624,38.80611318633471,37.85406446111258,35.09690123074988,35.11603364246694,31.451116885926595,30.52532262539939,26.28718480384071,26.984165625941802,23.464169354968266,20.57937208171621,23.686181362003865,20.789096907085476,21.43098202192666,22.160916687011724,21.02138778669141,24.827639001808336,23.310895881872867,27.102260588785775,26.024329453274934,32.08640265163439,32.24743410819735,30.326690435190812,28.311673497630697,24.162669469310952,22.200032074838294,21.00018714671289,17.466586573837084,17.484025847083437,17.069824210089443,17.21744892716555,20.943390836252604,16.591253253900245,20.402806607305635,20.26925881260451,23.973780198111,19.13140344716777,18.260640575803624,12.657516787669076,14.928677104780576,16.29574445001359,19.83697924700649,21.738916001371457,25.62039158200594,27.47051952123686,25.154609887754425,27.774385156125653,28.879821131020567,25.91971170672307,26.72545193778302,25.68819354678334,26.01686922795644,26.633280412187418,29.695126502916157,32.9235780195149,35.67016168323004,36.63931843046984,35.05008136614128,32.61798503901936,30.670193479530173,31.142638743670048,27.188104766026562,24.67042965823615,28.883444345019033,24.745254310836106,28.72979029446772,25.323745883597095,21.847868090962113,20.982263117037295,20.572600521111042,16.694770162901726,15.905865758735757,16.917573026308716,18.970379514279283,23.240607714992024,26.27309009228023,29.282359432367826,31.346428559961076,32.63332928723623,36.510965240813526,34.124444041029996,33.687746446312204,30.093948908474037,26.83958449986866,27.800629885154688,28.501563131080417,26.445692127214933,30.797855786432965,31.72089323851506,33.51725115532741,29.903098293734768,30.147097953416363,28.405526855766155,27.03550715886132,24.058942838417504,21.525106476850567,21.173629447215134,19.881378429429205,16.0142650106069,17.93685863618962,15.635107114601087,18.031535658341312,19.873936677333525,21.760109051275073,18.430710375857917,16.506623829081835,20.796435384421386,20.007168591832208,14.531087737516792,18.253620134936664,23.375316333916686,19.639601567647656,18.925540159540905,22.78841890618189,23.627677114011664,20.56897704643881,22.06855679066319,19.19503535003676,24.381727522329943,19.143618984894232,19.886325697374005,24.10925960710932,25.994872631553456,30.62301442054939,30.246756691403654,32.33354414621701,29.656146829227136,31.78040897731305,29.767758602233798,31.927925420757017,30.21083324081509,24.51942316679807,27.001868853547723,28.4317579829584,23.943164399588074,22.12934646441915,24.427654211147974,22.965588036215873,18.936451354457738,18.189143491202866,17.42646092351358,22.056032473493232,24.939764766283233,25.96581003367639,29.476200321872106,33.20117933067955,31.80495470219736,27.020372156998565,30.012716114494822,32.398336948875375,28.18058346049941,26.243794829987383,30.29124846345004,30.083265506881332,26.25780246281238,29.49641985799577,31.913634805418653,29.255211036798837,28.110531822524568,31.00716154269945,28.10369693903363,29.639493281772655,27.79511273578238,29.543183253908662,28.608454629514007,23.325266768575542,24.6650891919838,25.203920506454192,22.56461997265081,19.48223810717857,23.813817080935515,22.56451758498949,17.351102475429485,17.894284005123,22.148993284060836,20.413638442866823,16.416011748796887,13.055089212032732,15.788199388987593,13.354802322040273,16.78147201624132,13.031949109040422,13.718505282645348,14.160289645343296,11.175450935272988,8.857821043974086,8.093148589524418,7.19896655316141,11.40818296968278,10.955474671792036,13.936366385810384,13.86336478443766,16.218125843982634,21.19912557291535,23.575656991763754,25.976653729225028,21.409110155316085,21.973704326741263,26.309485213484045,24.826258675352545,21.990907877630764,24.91308568749485,28.93679750358024,30.392132790677756,31.78415040268338,32.62933719204667],[24.568380193526743,21.365161692519074,18.400620413191554,17.621707103631806,16.42039247091386,22.751250391383785,24.222425719144304,28.0325578596334,30.31087920706556,30.97114533732457,34.75981618838277,36.67179061695992,34.12257154139659,34.226567360922374,38.91916801970551,38.690138436477014,35.61696555936364,39.45904966636262,40.2895538813707,40.8278970624291,43.44685175924363,45.21419087595067,45.90435326817955,43.744496306622985,40.51669243702899,38.80501356125468,36.35622290996068,34.716388646923214,37.19549060869048,37.66810568405516,43.66236504503243,41.79515797771816,46.25977603432667,49.056066977092414,45.26165943275355,42.817744938446616,40.606483558372815,39.202722187838205,36.80590985447742,39.70751156776578,36.424349005663395,40.225383705759484,43.40140253479953,40.811852679999035,40.23490235562849,36.892583771652085,40.22231048124137,42.05888299571644,37.155956018483515,38.466460429834065,42.793332690879176,43.429470534575756,46.169111988590174,41.50619574160225,44.137406056404224,48.91463001268788,47.262481798137856,45.5343252650315,49.99990614361925,51.66028001754868,49.936368191005364,52.80445763961915,52.55175345362299,54.18462810119636,50.60470870696544,47.583398694682366,47.04641982005141,45.25361457143777,43.97469129406291,43.67515004826699,43.08097912251374,46.45097864068755,47.70073733385181,49.20056730098366,48.21738326036563,53.81832965841491,50.51062163079668,53.649094901221076,50.86453490856382,49.81614083065633,47.01698854311068,45.8055979649294,43.64728727383974,40.574666494052636,37.53598574886282,39.07163191585735,42.303218094543276,44.29499763300932,45.59849302513351,50.2119513786604,49.32803247419334,53.54422773185809,51.01680092880346,49.34170796261438,45.00378184990787,46.99914102775949,42.96718353875777,43.59647525777656,40.80035308341683,41.8270607441092,41.13825624890776,38.06212820363515,38.34655419509338,34.36622889604365,33.34476066949988,29.03194939466644,29.248997365188046,25.594076961531538,22.66258945210893,26.037153967775026,23.344149584907186,24.56461750438418,25.408204825362738,24.619571425635563,28.53211661055058,27.153145244334674,30.99125836758307,29.938569670711797,35.99676825546662,36.13524790861259,34.17064052707392,32.08509531045658,27.946698350669365,25.917078339062332,24.507902774067205,21.11523235265708,20.48709049158399,20.282573881764787,20.037585039710407,23.691828369144464,18.977708904995307,22.358028192454977,22.607559908686234,26.5237733653784,22.059763270864224,21.613392494356393,15.966335567574825,18.711296445590303,20.20968825292304,23.718985505756862,25.589863610935794,29.397774152363418,31.3548495122488,29.044917974999155,31.601877496980624,32.69652477437642,29.740108536294006,30.387934223593433,29.138440936116087,29.315719506120487,29.552117651855912,32.53755792237048,35.505530938712035,38.08686752263937,39.39915552072624,37.95712101533979,35.77357537925846,33.687672522812996,34.4895587100829,30.364066267326685,28.149583108367505,32.51847360520657,28.485024770144687,32.340350562929274,28.777151101637962,25.378500103859047,24.13017979460126,23.505985149241074,19.557200765908878,19.306565406666277,20.214099784229777,22.57132140705008,26.645897095107568,29.621992236226106,32.66036500270704,34.56770308986479,36.06386547350495,39.73727371286108,37.44655782895166,36.792276089453765,33.2582033358542,29.84514777525825,30.53736888963304,31.121666465475986,29.36224009684246,33.94788089631681,35.15288736284182,36.706605093071964,33.18867129790599,33.12106816946289,31.09712251514879,29.81910883304083,26.50730390045572,23.8725235916583,23.15970420518204,21.297147745115485,17.719232547173206,19.082119021065687,16.384081552313617,19.303119309964572,20.194920552042962,22.551836461872703,19.663053745530295,16.75210424843633,20.752825481824182,20.559096410149614,14.81632746802652,17.718845163140017,23.19117233413895,19.818742478636754,18.4207449373489,22.05301516069155,23.55834852106731,20.38052986694158,21.011616659363252,17.86616896772315,22.85197011437859,16.742447058555655,18.09997116456942,22.297824152808946,23.88429193163927,28.62419849213743,28.109461115771015,30.650094450386415,28.317850946918423,30.759355334677476,29.312889123059833,31.222479232907975,28.984330599449336,23.721222006178525,26.582149465856208,27.429534426235954,22.75688158447082,21.589342777381255,24.07516246705863,21.774293027694544,17.695739724229725,18.31448373631399,17.309921297450227,22.790835026015895,25.263336384672563,26.07051589420694,29.94858686489329,33.43465366085165,32.62284957499431,27.71647088494779,30.195112987251914,33.00947579203044,29.14126449337251,26.646135815143133,30.617161518261543,30.65906355926075,26.61326429807432,29.309421403045164,31.87445476082523,29.407382892126776,27.659795056544194,30.28523327984395,27.232063678736292,28.85135407265644,27.383394238042346,28.708480271945735,27.34036886432724,22.44118441052031,23.794936235264792,23.64673339179129,20.944599006258933,18.3182222711782,22.114008560489058,20.193948095609095,15.277824131266446,16.226299063248913,19.82264097183142,17.521212278667882,13.594431417168495,10.396766815228991,12.270604071371054,9.847086330595072,13.776033587363857,10.866221069846219,12.429396550878197,14.022361475563613,10.51325519220509,8.106943505139062,5.812872941728915,6.319586891546931,10.893172724280427,12.323971630968774,15.500559820687076,16.350881980401983,17.92778976818584,22.921708849270964,24.806694947806246,27.71267884510759,23.340270795889662,23.147929292640683,27.5876321415454,26.83707854182578,23.4974154176793,25.819841259102027,29.970637396946625,31.445142282757743,32.75903817753141,33.5552177006186],[22.084652450293234,19.07443016267204,16.811528518769403,15.502730470977642,15.603334903542573,21.392292510777917,23.187982766645796,27.25773248896917,29.08606460512507,29.933440289009077,33.64755146423284,35.760095318766716,33.5656205896963,33.240204205113386,38.14435664699551,38.24915518389168,35.275786433295664,39.25557356266377,40.160104419124245,41.11490727910536,43.79907917175079,45.92489066994353,46.49008018387732,44.40549176051946,41.19234397219912,39.12264757138033,36.83880322926684,34.89953400501566,37.31119935800639,37.75005608761577,43.39712125593637,41.76406769810477,46.146407700129664,49.12192605693187,45.52347877165539,43.0867905071591,41.081135082183664,39.876224546445904,37.69136118492049,41.12858535179056,37.60675308637454,41.06855048364174,44.50291949532375,42.07841165207389,41.467598012720245,38.318377643483835,41.797298549170286,43.604835420501814,38.79509997961833,40.480122677931874,44.80832184908666,45.56021500349346,48.0993526209609,43.211252708252104,46.00986611591816,50.67576386146492,48.78901023261666,46.89632463733453,51.42334709320132,53.12694528176993,51.02076402715803,53.667530531623925,53.189986241450285,54.7783128701965,51.31848227287891,48.205043009541484,47.209558398657585,45.2554292957782,43.62994965185816,43.08286602397057,42.3324126772914,45.53657735068425,47.03047271712118,48.841069852786326,47.99739887512525,53.794959122399824,50.815644344369524,53.98284322541773,51.45060179960238,50.716043923353766,48.0246224327793,47.12080989001506,44.9990358584164,42.15096892361875,38.99021540574761,40.14003118460562,43.21152192698934,45.085695630887244,46.1106314689627,50.57591738742063,49.398676260195195,53.4284153695597,50.71363496564446,48.97622093402822,44.49609325279236,46.21529214121192,42.04601389980977,43.08580841566778,40.26777809742044,41.348750397205336,41.12373524697243,38.27177165511747,38.890601789981034,35.10762490583413,34.74795938154061,30.20496530888082,30.77719761386385,27.411718663816877,24.0542875047637,27.05058720188663,23.814760638615073,25.06319529658171,25.19577796334292,24.588353640670398,28.1285683074118,26.819408298282703,30.77038948419886,29.766145895342824,35.75491034242828,35.75262908627899,33.48323740665219,31.259709370909665,27.082575552113497,25.069176989124724,23.556679150762253,20.878160569505457,20.21988937698399,20.80310689745891,21.110195569879544,25.25523222630355,21.017997237397857,24.75471245674043,25.15071097830305,28.6863626711131,24.11432164810892,23.005132928855193,17.46572192308383,19.537233462084874,20.45684040444803,24.25563867576015,25.93503669264965,30.09722209885736,31.83420991012557,29.541787580016493,32.37136434140221,33.15341404942903,30.058446385949892,30.574110999617425,29.434082968119,29.094779342847414,29.502838126589122,31.9686522894373,35.22223088079669,37.221319897356,38.67011012399379,37.62536731848001,35.49114030206205,33.79455868138767,34.65765607032297,31.015820506672434,29.041219849872434,33.32084797909686,29.441340458574864,33.598259558724706,30.46838210433918,26.965065834563262,26.296689293535078,25.82697939816639,22.00013107807409,21.121427101907724,22.167536969231733,23.972377905955575,28.26601115271254,31.14813295498238,33.95993888168806,35.77320845671283,36.81755022291249,40.85108620843914,38.79790508410892,38.37784648784777,35.076992761522966,31.466479838385222,32.76011830368633,33.62211637242971,31.64340056615079,36.04656688066616,36.86639518532547,38.81235986799073,35.123000895022834,35.47219022341629,33.718203089662936,32.36439655283821,29.33454227076363,26.72094742386461,26.156582095911876,24.50471683645025,20.581474893964273,21.875533228849225,18.85251457560253,21.15850411783639,22.039799067721248,23.813843962614463,20.68772928830898,17.93970636178501,21.702978345641032,20.814067593982536,14.800028155358834,17.958271457310442,23.15376150703032,18.969008007565115,17.45671586844373,21.168338605147532,22.262078951856598,18.542082648347424,19.34266762064673,16.500668601447178,21.886262644449303,16.406655893170736,18.19368741138613,22.369219715081957,24.692851597961948,29.097050258429732,29.34696410602408,32.02161144449036,29.95048521594554,32.634760697793496,31.224927619154965,33.55659432716236,31.231173141489737,25.911096632784584,29.065323622336912,30.2283058479603,25.495973605306084,24.38516413521526,27.197945360699677,25.02086018993575,20.756379519471558,21.545020643341978,19.91691479270749,25.23851698337605,27.70738309080055,28.002574494978013,31.765537295044517,34.97122739786691,34.02703782616633,29.162771497360186,31.26545930337287,33.83981770041885,29.85437853948214,27.22724331887531,30.8384587829769,30.54994776606709,26.394416200302466,29.30315042198748,31.502439844244318,28.56164265939934,27.06401079057531,29.955371482576787,27.19236801499139,29.31727329300987,28.209273839255093,29.91513893174031,28.090169001385128,23.08275311933627,25.19878325713953,24.979060825558413,21.92155164846669,19.914738938659294,24.131012313964128,21.78620444240044,16.793038653668564,18.63354083276067,22.17372863802058,19.441749631068838,15.47069083802193,11.525734845789904,13.499184606148786,9.888435163831268,13.316487711477562,9.530908195612081,11.83559589662148,12.526387856772065,8.247819653237887,7.151935125501523,6.285754708958978,8.034640681733965,12.377787876985703,13.127421312987012,16.972187026674895,16.937899878118614,17.867117049082267,23.271950219791197,25.034173600159566,27.71052303755534,23.034351415683524,22.532334564809542,26.864729094479305,25.956948137731256,22.07702263230112,24.49454869573761,28.57395968687517,30.126559959148377,31.531152003585692,32.34712130795742],[23.918185810447106,21.106893552822125,19.42297437963469,16.818007296025726,17.562584676948706,22.969271481889464,24.38503808163127,28.760301303672804,29.890191568590453,30.24062034117613,33.858279098350565,36.45974096437687,34.022788212950545,33.06740667934508,38.10776450361766,38.48539705341247,35.18681526719111,38.93196186311029,39.320815524225345,40.6842471655564,43.0583115927418,45.37160301651031,45.53899784147817,43.3007659726564,40.32679622788148,38.168874235966925,36.34622817875107,34.55674363047663,37.31665680075855,38.213558857872606,43.48371907990941,42.4812254460829,46.861720284871566,49.63693956630638,46.118289590627775,43.36358281020175,41.857637776864216,40.18713266417258,37.94920125558872,41.689577908073844,37.60395372911471,40.79557064467042,44.2913155451314,41.75525711984387,40.73931770513801,37.64074393291869,41.034439047090956,43.18120212318115,38.7015530121165,40.34862431199116,44.85082093995736,45.903845704193515,48.33568883299074,43.541134952552774,46.732802456372845,51.14407606419635,48.86229925086684,47.19173405095228,51.882080593686744,53.21429012605384,50.860744953497125,53.56748192795531,53.14670652311939,54.313313450652295,50.84851108778621,47.95295104137571,46.48267164698314,44.76797794319605,42.69121196012066,42.34013524715063,41.24094530944392,44.22578836970699,46.115456837168644,47.88286233112984,47.53147069205436,53.417540245341854,50.66764076746111,54.10907507873688,51.74361001988045,51.0948582730908,48.7743956321107,47.945210919144685,46.266923300216526,43.46280672475196,39.96359311683206,41.06002260390975,43.68464425320823,45.90809022341261,46.345773746897336,51.02732993951595,49.49203692962546,53.33661036197942,50.68535305136035,49.19927691184439,44.69167546483203,46.28946522545381,42.074659423495255,43.71371300194125,41.153282843531976,42.774843330723265,42.428567172680594,40.18650496494054,40.51958901264198,37.2754272124279,37.07508420223977,32.66880906727199,33.75934396532117,30.499065751263625,27.235671812830894,29.94920007352952,26.412491027613093,26.952478593679977,26.572996688143597,25.411773659910686,28.319538310300544,26.532222504337653,30.2693514424057,28.753673336595934,34.54557554864919,34.99310727118085,32.46122674882636,30.5271191255174,26.070002936098312,24.60794706762159,23.70115370698531,21.486810611158116,21.989351112791255,22.645338107556245,23.560520730361844,27.719859264844803,23.80139849532713,27.80439842065414,27.614048609557194,31.146841525810903,26.07205691598604,24.56456226169822,19.202112228836743,20.161475338890625,20.23420307660841,24.166620314816303,24.839015205625895,29.057938828145065,31.07444229208807,29.19543584848106,32.323163745926074,33.35744338336322,30.280102800245043,31.269651917759862,30.67019741428117,30.33815867938651,31.41258766949494,33.62644376278855,37.367566963793614,39.122629725368625,40.27278772491818,39.33077256307816,36.880724110643,35.61878839775362,35.984314869628825,32.818399460219794,30.330961920716675,34.15974398613709,29.876616863412274,34.263238272316336,31.15869064073415,27.094770364471547,27.092202889934672,26.17053365900079,22.772685186630476,21.54009034948313,23.198440982127472,24.69014017109041,29.396167348742246,32.495634140635595,35.32995926064257,37.480039975343,38.125379987064285,42.521683294870975,40.229620670219376,40.168090756685274,36.60194285320708,33.4784773042463,34.83576817785375,35.56314226678381,33.221548146273605,37.11713077216124,37.50932262863605,39.42019105615338,35.18210395012872,36.008654053568144,34.431750457451614,33.4608020030981,30.79654580884372,28.563903242717352,28.48164968542964,27.288110524865992,23.51401799076433,25.367200203661096,22.738790367593854,24.911525524681483,26.290736455746778,27.856129521039463,24.459761947431616,22.20295786246234,26.052552968091327,24.760027565112452,18.79268571886689,22.285273947712955,27.262407835640023,22.574467712758153,21.235761344938187,24.992195448579587,25.612438436066068,21.535695444367573,22.652380778049807,20.14506172664693,25.697368423770676,20.53061511852987,22.588731199674708,26.717969700493107,29.21724855546686,33.513755010720146,33.91646623154543,36.667524842204124,34.618321863742,37.275861055609845,35.760346571580946,38.083389950249575,35.83180489795071,30.46487136802435,33.47671529264866,34.61780548138935,29.913404184123383,28.68024346744656,31.245918885057502,29.08116196387288,24.961718945063502,25.286183867172237,24.1379472945164,29.178439429202736,31.862808321488057,32.35423390952272,35.982576033149094,39.29665459089698,38.073081319584944,33.2689371472929,35.55803417211762,37.900331061191416,33.71221249028962,31.324098788834483,34.84060396760537,34.30144559235666,30.209603779031355,33.39972598923012,35.36518579231588,32.0880111459161,30.944789015515653,34.02208026731999,31.437169777817008,33.73358714831783,32.64501793722844,34.505625603247445,32.64286045297202,27.57652767842953,29.80897200421883,29.633765874261314,26.535707587243106,24.551960399789518,28.755127900470296,26.331302735660838,21.413389697562298,23.153250243027227,26.585701753030893,23.71563789887516,19.83033888349642,16.022838123109707,17.339950039121952,13.528800562649641,17.121569088453167,13.383752374233048,16.05092572260441,15.958978687933053,11.46289952096496,11.249044139596876,10.803557896115327,12.402455591601033,16.83499269596113,16.789375021405984,20.558992970028577,19.7064128915425,21.036750851722196,26.55551755785299,28.595630551612622,30.815305992063877,25.869288686110323,25.736742394201045,29.900858549270364,28.322356808325598,24.457120844287363,27.33981880959777,31.227915208611748,32.79619756450601,34.27038540940282,35.045866872632836],[20.21753845433421,17.294678862283046,15.622951473091856,11.892185369615278,12.996525769257465,17.842892366772922,19.060595612800913,23.55891179240434,24.326431381284177,24.672624835754768,28.23474814565359,30.918641596959432,28.676688188836977,27.551695406425583,32.65612947752741,33.202963836231355,30.09665376498739,34.0137400451175,34.747666489295526,36.331284080919524,38.958332552193475,41.59575898383943,41.893946881649946,39.950438408842594,36.81729264039595,34.24617668421737,32.34765436375195,30.12270702078616,32.60613462268014,33.32319020692566,38.331191373261746,37.41114606759944,41.696464307889656,44.62082051753806,41.287995289207096,38.6471406173995,37.24401818723542,35.95180791719027,34.04621772717788,38.341804769221405,34.28393683063318,37.08102073569511,40.869504672612976,38.72377282825951,38.02584571286554,35.31474948384919,39.02143187527951,40.70984515373174,36.20811181589861,38.600246744925926,42.84558494643557,43.870598183894565,45.96045176330974,40.758204187876416,43.957138880834364,48.26476631018783,45.86870478647971,43.8203147933244,48.4592432675979,50.05648184195644,47.29291578431079,49.6250716453921,48.888022133443926,50.23184660703271,46.95797507446923,43.83187055690252,42.10092380393924,40.08117930643877,37.92221693754907,37.239213894809254,36.205752667346104,39.18069139479245,41.02095531685589,43.07918210007077,42.59380680436326,48.59254394794908,46.092189132801,49.42593006388707,47.288419944346465,46.98713501102942,44.692991683551895,44.25006603700087,42.52700071557468,40.04697374103047,36.528683488108484,37.10184892344047,39.630095238538395,41.57878102575109,41.87553793494856,46.29072706079474,44.59004719806596,48.30846297440391,45.49391991622724,43.90599893313913,39.3290300725898,40.77502604325821,36.51296012845549,38.31258047817922,35.76449136573492,37.499564271910224,37.378528783296304,35.441198015756,35.96156036965162,33.05154945097433,33.549297982550755,29.04490868994315,30.69598066406469,27.908811872748714,24.374217285508276,26.465559473910954,22.457289112463062,22.703633653046797,21.656682696204978,20.62917451760206,23.205407971212416,21.66627817056586,25.537204190926634,24.42360307165235,30.16691242902722,30.15699262185545,27.510874355997373,25.327289667425475,21.04037737060583,19.36711728100461,18.27264704842256,16.676455181486876,17.328308982258523,18.60107502511886,20.190655597179294,24.692200684030063,21.663599758710177,26.0648503824313,25.992885291934353,28.79053423012099,23.752707047473855,21.406581339406642,16.58456789296248,16.72422482011711,16.32876557033561,20.372999723617625,21.456278501333106,26.032583081359224,27.384264168923274,25.29745441927919,28.54134780733505,29.022232543191276,25.845380141135188,26.55115285434828,26.03769584834165,25.30272070179596,26.646057380080613,28.48508450806137,32.51777466619053,34.013194220484465,35.0048756840519,34.23408480581565,31.739277565239895,30.842059959832074,31.146189108158584,28.517994982158285,26.327773920722716,30.023270369435885,26.190650950097755,30.783361360532915,28.44083748832309,24.71964876786177,25.348309631366703,25.17606519881068,21.896623705329535,19.748836848861057,21.15377031378439,21.772686165021046,26.439825442175586,29.23768273212333,31.685633753015104,33.650467706606356,33.792633850534145,38.504123928740356,36.5454642113834,36.75674635224969,33.625799313984835,30.26287580693875,32.45272247051154,33.65288420031067,31.075489909937744,34.73936619933914,34.67113110214466,37.270894992644806,33.23278094265723,34.50410470922493,33.44568650243134,32.05574349776679,29.874362362778676,27.590645209550125,27.694550430102723,26.991220470727047,22.704608622211346,24.600759376953476,21.963586776490526,23.113626198811048,25.133249487754146,25.797938897840393,22.011893930453848,20.799256942634436,24.586324305702004,22.340877974718264,16.813979567014194,21.05156093737499,25.32580674818805,20.015135453028762,19.474143248388806,23.389344252854446,23.027349583750006,19.062044827576422,21.33369717016252,19.36528311546469,25.09172464202747,21.442411496915277,22.71765140846486,26.777415197922497,29.9373341475493,33.90863036585831,34.86460966507676,37.07350467559745,34.78341971157217,37.22760302465739,35.15595613614198,38.061384986356806,36.31783954619466,30.49646341943358,33.35221925562179,35.37200468310179,30.82656956174646,29.030737229739376,31.766449396944044,30.565037911303463,26.275622311618605,25.6775787145163,24.047385365739682,28.15367323371152,31.078709146495708,31.290153533103602,34.427396722204435,37.67956466794798,35.84180390745888,31.27767266124849,33.71252124763263,35.43489317317122,30.929945200992208,29.031678778327716,32.32337340689241,31.349828436762063,27.51829098171916,31.32937514639812,32.911348595245386,29.26311522749046,28.950617304563494,32.407274207042576,30.17621924096318,32.581104421809854,31.299289521535087,33.820765811435706,32.22019984750889,26.749367127305423,29.362763026523417,29.917968332332517,26.746942773004168,24.63880441974913,29.65094651492982,27.814710838646267,22.507681804428856,24.326821305598205,28.518992950933452,26.142345006608583,22.06860974988886,17.734477525207613,20.465522664276076,16.537233050417615,19.09562547835911,14.224373114499569,15.671482129999038,13.912809915519443,10.411416713782955,10.782655326949573,12.171932513189782,12.939036766028877,16.58160585188368,14.682741303930364,18.50029031441768,16.330434224225204,17.573805108622683,23.09450245351231,25.383415838808713,26.94512923882784,21.779291685942653,22.13388216761172,26.005724754073082,23.702315039167402,20.097431091229865,23.57642059644575,27.21257446409637,28.787585725210327,30.378142958304533,31.248302709204133],[19.81397292278712,17.47466344895609,17.05766985584996,12.833983544131131,15.631864473476536,19.19078372927745,20.648606825678577,25.219363345096745,25.25715929739846,25.707336263006514,29.001864764073687,31.95466605777836,30.153404427404176,28.401195652851168,33.629461277573064,34.61064299982829,31.63008057931066,35.51392037429526,36.157410577993296,38.23949200581236,40.7788222742649,43.74909030927964,43.807495679845616,41.916091236961236,38.941312919362794,36.07881190257675,34.52773888197751,32.131634735768095,34.56274053915243,35.334680219200465,39.76582335561825,39.25601673087457,43.36520051992117,46.38035083628263,43.3203781797417,40.66852996943896,39.604434927875154,38.42151354335565,36.734768012148976,41.43471674968257,37.139025239310875,39.521422839103536,43.46652693839394,41.4569429793283,40.619305801439815,38.11758720916729,41.823380942967326,43.579261746382365,39.322511485957776,41.89213486805825,46.13377004187037,47.29868413518733,49.209520609783155,43.954210641630496,47.32078225477517,51.43309782310753,48.79232600200531,46.70734776858248,51.371061857072526,52.88659736090653,49.787365389382096,51.91633482420461,51.00250509055724,52.17123215966561,49.050464433662555,45.95244152803848,43.68141311600351,41.607949344895424,38.99694404410984,38.114258315664465,36.817636347552266,39.46851212116306,41.681802134213505,44.034519183853405,43.84835807050536,49.981018462362144,47.90626640821593,51.288665522342654,49.46153951451912,49.46805227393783,47.38562100921785,47.22178420125417,45.64093555494351,43.38088381188773,39.77148727228006,40.01913051448893,42.26431950946937,44.14913977125454,44.05495523867746,48.304771227384784,46.256842204380256,49.680900429215946,46.726212124950585,45.157308870505936,40.50317523565719,41.577837886469425,37.23093541712058,39.60198543816783,37.141869193252106,38.989805486637394,39.35047996202342,37.77308774155222,38.56512177871534,35.96954493386649,37.009334766205356,32.45174941219985,34.332681712786496,31.796202859443707,28.08025785522347,29.839046472140915,25.551312122758876,25.764258229107472,24.032974870133195,23.157436840385596,25.041278945019194,23.54229997063464,27.267627579982783,26.10169616936363,31.474500358050843,31.453268099366007,28.471790050551746,26.303941450858524,22.104646700534435,20.741789664441804,19.777887761536952,19.267545362056044,20.025078498304996,21.92357552029581,23.865968518238923,28.50669809849084,25.831799083773635,30.290174940372466,30.276527251176393,32.85027712837811,27.835041684070973,25.163018334885287,20.666826581017688,20.236180010589983,19.21429361143921,23.23153270906311,23.774058654418898,28.445907106476263,29.647640571283915,27.787905496245568,31.219719314750495,31.472796642199196,28.297719452519903,28.95342882065399,28.667632145440216,27.450325227936652,29.00578800466881,30.17853978992232,34.444667149772116,35.2072900966937,36.29654931016983,36.009356901434955,33.59564103027538,33.19264774508818,33.4770433027439,31.45614039704212,29.476857630805817,32.88653318778169,29.228999813284563,33.951427238104436,31.975550615636557,28.16935333948855,29.243347517229843,29.009768163319333,25.96578429919201,23.586778973132127,25.13550559035606,25.374607059011854,30.081367720913263,32.77266529928631,34.99572298469841,36.88920888315566,36.59053968186986,41.560546519472084,39.79406763861073,40.230018127285504,37.28203416825894,33.925784343746685,36.447602125988084,37.75727127640025,35.05771999822585,38.4628874276831,38.062190505278686,40.84912850053264,36.634304679146425,38.23659205757508,37.352693849026686,36.04986746546235,34.07705120899356,31.892622897117292,32.090436403244325,31.450356879696876,27.12626652149842,28.936952228565993,26.139527115283546,27.054501026531288,28.88129629591955,29.241444890788898,25.473370568482334,24.26247314180276,27.715836589424207,25.12415970255693,19.691171753520038,23.718493782433576,27.6210173240616,21.880322244220537,21.192035017992612,24.88424335225192,24.16397648787267,19.814849575336773,22.040721909295804,20.56400444550363,26.26512481299846,23.222053637095843,24.927466439051134,28.78745481559639,32.35815403535172,35.9985705992158,37.49551719848719,39.89857477455027,37.91189949596711,40.569658121799115,38.66320032561993,41.75920900092953,39.8532424181768,34.14518451927066,37.22419578068442,39.270557065312104,34.66648987760733,33.055121442747605,35.96266918549325,34.60879371654044,30.24667181969121,30.003385697337023,28.1049831634975,32.25222249500384,35.084086309267406,34.958963525693534,38.04279739761995,41.0197308237671,39.19017166178015,34.71565172813993,36.75007347132848,38.30498370446479,33.84193216022963,31.81509968787698,34.69156658047819,33.46009803074822,29.6277724138788,33.44220828571986,34.64041207648136,30.629820482806572,30.522534669652536,34.08974440889626,32.17645521536618,34.97872409464254,34.0926787181581,36.77366046209701,34.75714055160549,29.426254142145787,32.525244793837466,32.85967589241715,29.500500544952445,27.948805259503736,32.98640693240811,30.733165603607766,25.58970074480051,27.931371539153982,31.855329135318122,29.093797621879936,25.1135659579481,20.620940525342544,22.947445754908475,18.58037614059457,20.75652039647764,15.964855894630725,17.972728634655393,15.735699143903927,12.148241570465984,13.606895471101536,15.249912850483573,16.707492712798558,20.21000751448387,18.409815428642496,22.41236201812794,19.904327702910777,20.496283067033335,26.034733522002604,28.079038440196413,29.388551567950508,24.177328230848293,24.167910570697032,27.71682217634292,25.33201443808327,21.29485482949559,24.686987633338937,28.037519506932767,29.63077849874168,31.260310493877498,32.098252665713],[17.499494794208065,14.925377776152446,14.122662643743505,8.947441117099565,11.624303518261215,14.5614359871667,15.67315980895633,20.264054774548114,20.150659938957684,20.591420360044754,23.90735168815657,26.815492664995237,25.101833912295383,23.434213068020807,28.658857283310887,29.638085011362456,26.866833303310028,30.9262556253108,31.994296717053313,34.052648498098776,36.8680638849729,39.973868962497264,40.279544430819726,38.67417142763718,35.514087421381305,32.415773617354766,30.64685234704295,27.903034794951488,30.007463255932585,30.532306492905168,34.8990319247512,34.27870310762708,38.33447666097101,41.46247000413307,38.49288395911052,36.0009764055675,34.88778544197803,34.08333322162297,32.666511672374305,37.64688273274156,33.57476439339773,35.72360232660479,39.82782058687995,38.15958488935807,37.70774527093512,35.508554010189194,39.43423389894118,40.71018341167796,36.37988116048767,39.490453454495714,43.44018846454504,44.483223570785086,46.15169048200204,40.615228256142565,43.85556309856525,47.921529970339535,45.32877690247077,42.920130224878896,47.471478436506345,49.27468093279729,45.983432846801385,47.825229231640435,46.6873611981973,48.115580010640386,45.136549679719316,41.819076908204046,39.563683021971954,37.20769877462137,34.744609891076394,33.587930848469576,32.49656843575124,35.26994181662476,37.24244154659638,39.76368492602916,39.28810305192424,45.443176606963064,43.434907121488365,46.65568371653729,44.922759393002956,45.13099675674933,42.981264885143275,43.06852354216581,41.37532747214915,39.3670811673993,35.84522170792856,35.720682929014906,37.98096741892402,39.58274208024113,39.543341166592874,43.55429655378621,41.51682706340395,44.9310189085649,41.87630140743443,40.186366307520295,35.50862465656191,36.576147916492985,32.221863676865624,34.49770884058303,32.01140022302041,33.89720872842934,34.30988110143081,32.88918635066006,33.77328056555462,31.401274098521906,32.88975539194605,28.350646710099106,30.60759209294054,28.479274577660526,24.70841337690963,25.939550921690287,21.441727522592,21.383959359876396,19.21660279227774,18.512322022181632,20.22188517675598,19.070191058854874,22.922111912553458,22.279613440354172,27.64036254721971,27.10316912108662,24.177244832208505,21.722580197359534,17.79077636356004,16.055357153372405,14.781468525084417,14.762528452257943,15.557533980960962,17.863314886881973,20.247758850459213,24.954627042999224,23.069919218358397,27.648856881444235,27.738599576783734,29.67413115624701,24.885578759283263,21.697978902645072,17.88796914246989,16.93492621036347,15.733387197879287,19.62275259640814,20.806032814768887,25.607736729352563,26.16423046231916,24.03588428547395,27.40507881388046,27.15963019668652,23.949423034097926,24.27313929153398,23.973528141606913,22.50193838758595,24.21598651438066,25.207422329672838,29.632409131593956,30.40630050992319,31.293748390821822,30.99981228737971,28.54487594434888,28.329502784119573,28.580465239907152,26.908789077948065,25.234468428625647,28.5569551159654,25.402124726163624,30.13999902848032,28.790542277104983,25.484916724113283,26.867125000677557,27.314919099274793,24.379460151308372,21.47583712441566,22.638249072216237,22.22567697670664,26.66973473333794,29.0242675029855,30.909300231440316,32.59538519583415,31.99500848121535,37.085419091269344,35.602364090101155,36.18274653674232,33.635602553735055,30.105542564628227,33.19618690031085,34.85386640018191,32.079276649350085,35.33084943316993,34.6789120659274,37.9573602730678,34.105190298468735,35.89385030133656,35.37992870654753,33.70397717521772,32.07830613438804,29.85780905915523,30.14047593700005,29.864114387565586,25.308691242373733,27.090660483948703,24.456780555170923,24.575340111427735,26.927072987149764,26.624692430977696,22.666674644328083,22.42342083214915,25.789888525172703,22.60495157693611,17.87719790107533,22.361275688695933,25.626910957569958,19.749668501153874,19.904948794090505,23.638645636608217,22.18561314924361,18.332264023503413,21.53323206105504,20.393641878212403,25.970097852465962,23.972810399385203,24.813036093226756,28.56583313251163,32.366308176127994,35.819055991604756,37.476254797609975,39.3195422843929,37.03888218145602,39.381450373734545,36.98711695376766,40.41742189687351,39.01715965359962,33.02295260149536,35.813841662541925,38.49683908293227,34.129248417262296,32.05231991089139,34.95522501263107,34.412018845392,30.056860692380997,29.00790634773447,26.909327560481618,30.160125352298664,33.14080610357889,32.922271314072745,35.542997507400834,38.519928862117894,36.190716633919614,31.989712758056967,34.263328506060546,35.30867760246066,30.641420019603537,29.1633202405036,31.933338957015984,30.435279650568273,26.94908399060143,31.228380804855785,32.21640359659223,28.109098431110446,28.69045732383281,32.456654039710074,30.759315920756276,33.40772895144283,32.205681653083374,35.31035661266048,33.741334281310145,28.163192190598007,31.270661666432954,32.27587869567828,29.038842693574214,27.1994058150388,32.69556758453434,31.12297226156347,25.777603453443568,27.864310444713,32.34946715547156,30.173129322167693,26.12328825374628,21.53458132719875,24.860120545626618,20.78760072953134,22.421612455719472,17.132808579493776,17.846116432112865,14.615814466806352,12.440108974651151,13.718445997470033,16.234712373532805,16.773570903376328,19.479111849543866,16.329863992282885,19.98155120022451,16.565283866833326,17.201176566227076,22.43420080439642,24.726072463003966,25.4418614617534,20.200786008651882,20.82230358047637,24.07180955156593,21.014004637142808,17.549362640593912,21.505898891461555,24.62248049562133,26.164698702275828,27.875147498348632,28.80979481473713],[22.53774341560224,19.714102810384773,18.019012076753505,12.968260403974046,13.377723515551002,17.292666781509826,17.203049438323596,21.726928606921863,21.61642031337516,20.907460524418088,24.29844166603801,27.510201642196172,24.69921091002809,22.97557525928755,28.056974008999966,28.7819793081997,25.298668643372892,28.89081613913599,29.18528327939257,31.14306839222146,33.55347883477135,36.43836968497798,36.47616104211178,34.578326817289515,31.57902057670179,28.779470208969077,27.272419701680683,25.08890132298224,27.8377649630927,29.05750788086906,33.60602588401895,33.41296944625238,37.658948795587236,40.25241123088266,37.02851986560278,34.068697399589624,33.26821867673983,31.533646513344117,29.719335899648893,34.48220760222696,29.954495319161822,32.25173856415024,36.17884019559907,34.16937843891986,33.32813144495522,30.96147215251856,34.74328988888207,36.374750818580395,32.23383854217658,35.04540295827137,39.18581908140656,40.44737578506467,42.18897083475866,36.91781167423597,40.45265548264378,44.38950854168369,41.59428385759509,39.59255410579588,44.30824196905264,45.65878810122915,42.506921305820796,44.72781277704265,43.95509166595176,44.97405714236317,41.779683547369665,38.79002043615367,36.60802318225625,34.7530656872967,32.253571309923004,31.767363637369872,30.491258313198685,33.36388783604191,35.41588085429996,37.379328971694015,37.27086618340649,43.30347075626956,41.02707002128119,44.58289408006164,42.65288843633482,42.51862603125906,40.653913805791376,40.42300676199916,39.22121893093993,36.95466728293959,33.12087942714212,33.424237788064275,35.37336057990194,37.61227931468428,37.23726352473151,41.80656891749383,39.7577412460932,43.288746423229796,40.59818722461788,39.325326246738435,34.813667949849155,36.25079318286089,32.05626401087204,34.38137119309722,32.263421032780116,34.79676904859523,34.21517412784112,33.22264387422425,33.17741689281859,31.198780368347485,31.965563586673024,27.87672631096946,30.376024896264607,28.01618354957967,24.847958311138903,26.243465732661864,22.084561197135788,21.010507216692492,19.332342667771744,17.409659363564973,18.962120958540993,16.862027439890614,20.387155251151462,18.903247043928047,24.400309044934563,24.68774803798727,21.87121185957699,20.018213775857348,15.510338350403218,14.514372859787585,14.449570371088466,13.51969782761759,16.20653089014955,17.271529336999848,19.75450153207423,23.930856814047576,21.94665476548529,26.542537282816347,25.769094975326883,28.020292139490262,22.6789432881169,19.60163577276893,15.876193166313072,14.060990541639004,12.311065528003112,16.23725688169691,16.44510866060602,21.14333186476097,22.30548480584182,20.5808870639592,24.08631842132556,24.622353450007793,21.547246885495923,22.788051182806257,23.07256039776529,22.523239400375893,24.886728820094838,26.52784829732206,31.10641313753724,32.6460414714534,32.88607905143178,31.986708335473345,28.985903480734756,28.664426042891186,28.122785205429455,26.282349729625714,23.491134529368264,26.398843438935128,22.403570461943055,27.176005446579023,25.364810239282633,21.46465978089588,23.197535366487248,23.15522485874098,20.63824787544584,17.627679747111866,19.373016907756494,19.007151330425565,23.829816202099625,26.602445044398983,28.823234171606266,31.106677406145042,30.612869764099802,35.72646490813038,33.59174588472783,34.345707540170075,31.163378021822027,28.458544966918797,31.00317915287482,32.253704285467805,29.22030770021699,32.04514155044438,31.254057971710175,34.16666763199897,29.849422919170678,31.848873086367206,31.377168482844304,30.115582538250035,28.750653370558595,26.95526993700247,27.712927433396807,27.894585712355124,23.757862257868904,26.25669401907677,24.37423126070285,24.891438430419505,27.901417765907688,28.022468146089807,23.952523234633535,24.003373115632318,27.880170969425862,25.104883015486454,20.390170746106964,25.102540921675477,28.78391392557508,23.362804039736982,23.647093151635175,27.561900659319257,26.4086333928173,22.83118622420391,25.941094544713234,24.355684399507773,29.987042083664488,27.06904942622448,27.80858910821069,31.797035929832983,35.043568544488224,38.91688859354619,39.86604948858135,41.63186477364662,38.99554229733193,41.039699273961105,38.40108045437545,41.4274056904935,40.26107409985109,34.14755800693971,36.47598445279831,38.94628383895844,34.66710092479534,32.30268269911309,34.65245962676961,34.20260175507478,30.13308742522226,28.259732154554214,27.166616780285946,30.172758972866276,33.45556560605471,34.01417271018011,36.61167219840625,40.10083239618474,37.554335648741706,33.32928336821347,36.35361396315001,37.461385485331604,32.64767451693348,31.59269632782214,34.83904007995349,33.54181551772751,30.18597121690763,34.533561426973876,35.85710850101745,32.05621003645008,32.54955898242721,36.21163352380235,34.20940790777328,36.42890224689819,34.73995510218461,37.61433122503539,36.546931111389405,30.851298461192506,33.26943202362947,34.46307819055713,31.46843086411882,28.905831824061767,34.16216824377836,32.9610631818695,27.517043479658927,28.77959159868143,33.40121720072997,31.511355028063342,27.40661092231372,23.20658551325888,26.267397239848723,22.577302382035857,25.10453634250211,20.059346442725857,20.780690426895728,18.255349285040115,15.765432500998347,16.000249909092002,17.67072818749565,17.5317687685667,20.731734016780653,17.400959795691964,20.416740731256972,17.041908859511175,19.18027383505926,24.13304645783579,26.984892887007643,27.577860541487695,22.410164188193452,23.92924666420759,27.304306722734374,23.77052013454124,21.237701247836494,25.49287967931061,28.641981728332475,30.088003940210033,31.725957515312864,32.579631483419874],[24.74868293501989,22.50230815195311,21.816208959393876,16.253573753727228,17.85525952140479,20.313407873633864,19.99698938002365,24.413893458993545,23.181702552969668,22.045503699418735,24.915786361998784,28.641784129737417,26.043452513648937,23.309355777433403,28.3678873302911,29.65723676620643,26.135859271432643,29.335288227754923,29.11401436567625,31.81788086507,33.85567575754504,37.1492283957294,36.68960965751388,34.81621123262061,32.20620756924402,29.097358862129543,28.333898380068117,26.172116760069095,29.01809513667897,30.61461402656134,34.19329812232442,34.885871539136524,38.86544387636047,41.29212969392971,38.43830274592146,35.298799046202134,35.217593818988036,33.290521361304776,31.727698932024264,36.944277628243675,31.975121990328358,33.562745996379846,37.59143972274832,35.73927004650952,34.56391000240809,32.57635582380414,36.23318033083497,38.022698619667494,34.4544431557051,37.42480880417517,41.513548797720595,43.05453650624525,44.47848640965772,39.30217741942134,43.154451080308306,46.64859037330947,43.4159787791584,41.5383472420934,46.2794147084339,47.305900846239474,43.69783869712204,45.701351580942536,44.80324861924567,45.35461368288612,42.3671613209652,39.6039034530889,36.60192732236204,34.91213221712387,31.696763749854686,31.20754493856718,29.427922325677425,31.775062447417532,34.44353737621419,36.593023814593565,37.144290883509896,43.25344346626778,41.571860005626704,45.31113500838235,43.81937257214784,44.037101584674176,42.67231574519777,42.76795701323154,42.031790762084356,40.06593282744124,36.03904785244531,35.977498638432564,37.280964239024215,39.648867227224564,38.48949702035119,42.970343967746246,40.38555723267985,43.45123690498992,40.75134376543099,39.74015390494697,35.26199950087569,36.27761321543807,32.1026373914736,35.33061684883796,33.591912224803906,36.617357408105434,36.26833483339645,36.08484889501057,36.005727290928924,34.753374392906764,36.02191590778645,32.13458097194814,35.04424949153116,33.00052271120617,29.8600351158777,30.81940760464825,26.490923917883467,25.001559088331174,22.57856544208462,20.504731566987207,20.75643105849212,18.448261403562842,21.333710389694836,19.476574711493605,24.109795410488964,24.73710905459686,21.489197621076,20.045959062488993,15.69335550575305,15.722315418913318,16.454656418867394,16.988905076982473,20.28325588512501,21.725907650345558,24.612019229124392,28.673653614337006,27.198659349825842,31.804608275434383,30.821269703502825,32.79335744720237,27.43497901218558,24.050729235050706,20.97328716695353,18.30770185773647,15.637460173778203,19.090660429572544,17.993428025916582,22.499645051134273,23.537209099738234,22.456175852969366,26.147665056365604,26.591346167193656,23.725459444024736,25.213423587898372,26.105099351265743,25.234128990519114,28.14895339558279,29.05617957785852,33.9878339748735,34.83266851122167,34.82749800185803,34.34860847659092,31.24595275719448,31.652532961648557,30.708865762088298,29.799658479476292,26.97164819788186,29.135831142113158,25.269791437411932,30.058959296409167,28.755379362041104,24.709272074901122,27.18868402231516,26.93775206509889,25.009682776248624,21.77319818599141,23.79310832338753,22.89189144960557,27.655056527473622,30.305909055463708,32.227177020628446,34.58454075032751,33.44604676295137,38.866133842067,36.7997534614704,37.97552310873142,34.904957321313226,32.6084822730406,35.40272508487617,36.65441996010685,33.399987285799575,35.57516018095824,34.2020894174239,37.23426032374521,32.60472494765544,35.175357778983454,35.04677070685311,34.06523456799322,33.17304663290919,31.711178977242444,32.75854038677026,33.211797502650015,29.195053632969838,31.80249906231028,29.986344838723753,30.31364454029618,33.36248123061029,33.21394127332762,29.11550427608715,29.335194115649323,33.03075000772306,29.93482757092481,25.359492418842162,30.01276326024201,33.37741863593417,27.613305193453634,27.901386003167367,31.665418127811943,30.10255486015344,26.31195635551689,29.50591206991492,28.316582239287577,33.94556167673548,31.459045243372564,32.500030182089986,36.38240421848758,39.92718580196658,43.59248329875846,44.90954420196091,46.78489662492876,44.29633653423224,46.43570994382707,43.81278846009046,46.96612262675509,45.76857778028073,39.67061572533754,42.06020380085386,44.5724206811915,40.26461978565102,37.941608410463225,40.29749086395338,39.79317410223284,35.71166843939663,33.88279557569802,32.796953248005906,35.6958239521291,38.99449727475592,39.433101257186,41.89564366632255,45.25431410979257,42.5497619205209,38.474181365691415,41.34253748853126,42.18715163246801,37.34373750688601,36.3838329828714,39.30216828754989,37.72605530189639,34.48939079808853,38.94858786717295,39.910556758503894,35.786634856514944,36.62030788837467,40.409606262097505,38.68877670553226,41.17977911117467,39.70475287800359,42.75126773065987,41.464165641053185,35.81127300956434,38.53742184408475,39.650641201791174,36.52806015151308,34.25407416909067,39.55773000962195,38.10485742503977,32.709021749301925,34.23931571231665,38.72974132694773,36.57595485721655,32.48505442859442,28.167710800225926,30.89327904057793,26.88077118963635,29.323924998314062,24.307523249299216,25.440576111539585,22.55691680515687,19.966604017110345,20.831176793884005,22.589644318906725,22.88771251053702,26.150672553416907,22.81479188260227,25.85981782845761,22.143446024953406,23.94471851294016,28.748830556171683,31.52056346875458,31.655696349593047,26.528128695481055,28.014689354485593,30.96868333309408,27.052912964208645,24.5111832983271,28.83615866370584,31.5550527370406,32.95350826913503,34.60995451515345,35.39232395156733],[28.558121310916736,26.237329389534644,25.315204096739308,19.861566416166323,20.871504162706977,23.751545920561018,23.091524699138457,27.41392122167203,26.17353337794577,24.519376799945693,27.293845892690474,31.154849774957015,28.057435252132866,25.231529004742526,30.068559593243066,31.26457596428978,27.367462754984974,30.090026489662524,29.161875138344698,31.892280839825318,33.46668423533261,36.60452665443862,35.788024184522754,33.65028439613334,31.34738198794869,28.51588562213985,28.173757357705977,26.54190242945545,29.815101701996607,31.905699714073844,35.39200521420597,36.47513614469264,40.48291436263255,42.5198776931769,39.5861723962443,36.14784348168865,36.37669873047034,33.80200045689812,31.997475305085864,36.98687513777525,31.67157472617165,33.24888400580858,37.067619909628604,34.949744425759874,33.33407568214402,31.257281790753424,34.6589549525126,36.854172047466776,33.61714995535276,36.21354243643339,40.45323687476581,42.207302960064034,43.665966061193465,38.826438671488376,42.914541173706326,46.217472295701,42.789106759394556,41.31214363899068,46.14111214784311,46.72746353631703,43.213057858431746,45.480168633051534,44.86529915774666,44.98424050698132,41.88808141229488,39.481555338642984,36.40627209743467,35.18364689822365,31.827749063469568,31.860291132843102,29.850345004389716,32.07306634244277,34.92896672910668,36.666668577657965,37.65008408917927,43.60900699452797,41.865495828924665,45.8474670988959,44.2997715674242,44.30902649202992,43.23785576112906,43.13047508822968,42.801085613077156,40.69300338851892,36.48394408855335,36.71490626924022,37.69897452891171,40.5118755289365,39.02329277414038,43.834276137054914,41.18373179917159,44.20858697081756,41.788171893017775,41.110444803298634,36.80299508605643,37.956208522852336,33.94330744356364,37.2893882205283,35.823497856662826,39.19139021479056,38.346409402122724,38.43825839200798,37.85500556179357,36.85038676819676,37.68615956531214,34.09401732671895,37.04575924724672,34.851537762366775,32.04466287536752,33.14692953022738,29.045099181941076,27.161900312323834,25.045844465353124,22.434651704630138,22.494314347354514,19.668112891701973,22.066652048409757,19.521845361790145,23.860054952904722,25.246143353820322,22.095024982237078,21.251870202409844,16.77100314243221,17.483518700402385,18.89834104167232,19.01821623069438,22.98851250705622,23.83523866948032,26.633217973989815,30.34336915678102,28.72487260687284,33.23060618381157,31.766332864684582,33.985446510609606,28.388870380960572,25.244498698865787,22.24367506550169,19.29221849527909,16.40326703841157,19.572744405263443,17.395543912697065,21.50927288760052,23.115372877900295,22.569339481208907,26.268891871687387,27.300589397964323,24.652957624768554,26.722344923482233,27.968422568696077,27.589130228539563,30.76314559434401,31.938357107563874,36.894145885864724,38.030988634677286,37.74789028453605,37.020004245816644,33.68437123998285,34.060883298419434,32.70317245010961,31.74383151570346,28.325926214484813,30.125197115101027,25.76960964607682,30.442511800037725,28.814407352661526,24.352708498727033,27.037458604157585,26.25275582054843,24.7513841051807,21.68137164027183,24.114208515926716,23.352081776425045,28.227714281365195,31.1169750290787,33.2278954439821,35.93650281349232,34.8618942173811,40.229729342409065,37.76364357739023,39.0466674830424,35.57750114496855,33.88083010383839,36.22533244923737,37.13870196392698,33.7741063025289,35.581668429227186,34.10859899671256,36.74455863156652,31.727569596033117,34.45451857541419,34.323004181754094,33.778549145107405,33.05993138937646,31.949215242856454,33.27079078862736,33.92028055784678,30.272827092623274,33.21646991015489,31.758840063992874,32.417452180530354,35.63323530053656,35.790696716108,31.697206026390177,31.855722625536824,35.76420429459622,32.93489150361488,28.22942067143993,32.890792129408204,36.539220194327186,30.934380161006164,31.11994464761598,34.96288386884281,33.627287885860554,29.810066821288164,32.82487498058153,31.41328119045181,37.10508719953084,34.05651106038039,35.23589788673166,39.23420618344223,42.50503927341797,46.3865597587367,47.36512734795045,49.32883502937745,46.74860737155708,48.81671156915565,46.187995952114875,49.07285087966037,47.881364513841554,41.81140379025606,44.03331797375469,46.288554710639424,41.99521906605608,39.6520563775477,41.70891522795355,41.068734822799335,37.17096306310858,35.12971190993358,34.595989466508996,37.53442263638411,40.92522516194835,41.745586218639055,44.2762309871676,47.86182155686816,45.15186701404422,41.02803301260132,44.175415905672835,45.13633211211283,40.2690852798374,39.387600222435154,42.518684548946084,41.063054100087086,37.80800794177355,42.22482760090034,43.355553651235155,39.345154843045634,40.028106470201585,43.755631674626166,41.87122263156762,44.22787318936657,42.613158875955456,45.480282084165985,44.31337429479178,38.657773795707826,41.09592283672925,42.1485185216362,39.106684746926284,36.59378393508098,41.67367306702953,40.23804865794334,34.86945954448196,36.0817454396242,40.4727320903407,38.324695095702275,34.25972737243494,30.1763961674797,32.520341575755474,28.662197240002634,31.57026475970096,26.787929736374554,28.15768683188642,25.67441717320499,22.75124420147069,23.294936304336655,24.56113033915888,24.769240317264806,28.345788340264658,25.2282217631791,28.05499588876623,24.567644857715422,26.890776301012444,31.631849820300733,34.574092962278165,34.75428797566785,29.67008898208988,31.374477945740754,34.43262748887019,30.44397040627749,28.1197991975769,32.48005197088186,35.25974685169606,36.62924517721163,38.24475417589007,38.96610042307259],[28.50885077140662,26.404384449313632,25.663108598374848,19.930666928284342,20.918875391333668,22.53933184800957,21.27422092001147,25.247861718280628,23.275447337703067,21.146671913519995,23.502204518147835,27.58766231111258,24.588577292572193,21.244926576031816,25.929336463279803,27.424306632125322,23.66414487481943,26.221114326755334,25.349845859283228,28.515038669202063,30.14447793123634,33.666582786630684,32.83350668755341,31.044708594651887,28.75829048165615,25.475903180306357,25.36378991171482,23.418436482818077,26.438136946622713,28.567824789265384,31.374928629824584,32.9244637611849,36.69925928758896,38.683311412792776,36.054171275737005,32.65526777928563,33.28878939805697,30.934394881174356,29.550478511212926,35.034643027481785,29.74276820820008,30.648900681050957,34.679682394992675,33.02829670067929,31.67165010941678,30.16171930658711,33.717076149408676,35.436755196258524,32.443362454792755,35.6824531610326,39.5440902240003,41.28885821543949,42.32931517003559,37.27317786655499,41.376029580947,44.378450181997046,40.779415090610726,39.040874924837986,43.752224867842564,44.45755758268805,40.50318992898856,42.35122912591673,41.439408626275004,41.55823381355181,38.726557755950346,36.22439163895897,32.68508711332582,31.28326563003404,27.634551063230337,27.43075039274986,25.294595319217514,27.340808000542932,30.340633773415828,32.33904654337195,33.43779622869285,39.459748348121266,38.11843788743551,42.05038153227425,40.84261032624305,41.24355008270883,40.397955842794815,40.71076105368821,40.544332878618405,38.853747023553055,34.65815188568289,34.33629686267401,34.94207423964493,37.558021434868174,35.660732691423306,40.19150474861853,37.24859572867759,39.993152067312664,37.497875737965025,36.89416189595843,32.63325345125674,33.56172525930694,29.619245064420294,33.3854841865795,32.19814521726005,35.909711412747605,35.139603120784756,35.87994796870508,35.27690536468461,34.93414573096398,36.36019667828369,32.99970967526699,36.424378077989985,34.75709149234767,32.02193589505958,32.47172545043967,28.295534912165042,25.92579380552362,23.196586866957517,20.555072199649437,19.570282071081216,16.874671929670583,18.824624839989774,16.543879156614885,20.24310382799321,21.353209887494877,17.992329550988124,17.26191862355553,13.19703304205066,14.4826567801216,16.422971569072033,17.694250322229976,22.128473679218025,23.244382825908417,26.48302822730212,30.02324130641805,29.332954882666254,33.8342316178069,32.387125023471434,33.88916371942305,28.59102721708272,24.941595065191663,22.952354265880007,19.22079570969419,15.760766210163364,18.3547542817092,16.104835998070136,20.144028761996246,20.892081559900227,20.486934002471592,24.173931366160286,24.66931303430949,22.18836817615179,24.153527392604083,25.802632231674743,25.164351088092726,28.77602295498272,29.435168853757872,34.58068823684159,35.41513337105036,34.741172022683145,34.18088115288271,30.761238077800893,31.699576841945003,30.011302083268415,29.909090753986042,26.724813417952788,27.927158977359763,24.173857085491544,28.784316513175302,28.07751419095213,24.136238865060175,27.42818030568367,27.24919212839183,26.114790631941165,22.54903724512569,24.662600126471034,23.047022364204853,27.524328936067015,29.986263681674792,31.593238350357247,34.13931616755609,32.44777987508199,38.02121276978317,35.856125810841576,37.49175238336423,34.48566419339943,32.904318317007814,35.828592652118125,37.04376118867499,33.553659241429514,34.86544480817317,32.85761095743418,36.027940674371806,31.29351106425544,34.45672878737522,34.849051172908986,34.052402741250674,33.882739930783174,32.88985833438898,34.37447526694046,35.41761247747774,31.672278829247883,34.57166591095913,33.27802331842092,33.25847164574894,36.813008588049605,36.37754316546311,32.24000471124674,33.14691148647295,36.83968107415208,33.55158716857741,29.51417440835645,34.315951139599825,37.337619641862126,31.67740056236935,32.38404831809751,36.10045800759329,34.17150161951691,30.71507314452454,34.258334116880675,33.22287127516835,38.75497369163357,36.58250872336837,37.32681504765423,41.167935646071165,44.703204246820306,48.320540930925944,49.587380842544846,51.19096116928603,48.48867490599454,50.35271292591603,47.39706872140972,50.57015291020121,49.74819784715081,43.52841294447836,45.55341674722625,48.29920713204247,44.19587361061535,41.55914488952175,43.625450372483556,43.579221048973636,39.685458571327594,37.13818628268246,36.41927835702501,38.60761066945751,42.06495006937617,42.745112154043866,44.8307923661555,48.31233729788429,45.17995090514958,41.40439361710113,44.62116706156659,45.06341431209731,40.11806427516127,39.722918345814094,42.58112620669791,40.84475640458411,37.97983140550717,42.67770960338231,43.48891872373562,39.368413179326105,40.657114786538436,44.50845742167704,42.91941584214615,45.24525222277823,43.51714169538239,46.72442732278414,45.79381703325847,40.05821205247312,42.60217456196918,44.078304195514285,41.089915683851906,38.54555154959927,43.92553223731274,42.855997243992995,37.40405578920985,38.58935276692946,43.29077885978923,41.433698052659906,37.332595217625354,33.11625952180787,36.01032724580296,32.15660151498754,34.62875860959045,29.544384919747483,30.323618423822325,27.22106814395702,25.067686325168193,25.75582726026129,27.561709375445915,27.435750812063937,30.469729190261408,26.581804007580658,29.065097271231817,24.929580420306483,27.15704745023022,31.37660783406126,34.40497934453546,33.90843048174486,29.035821720206584,31.189187377506446,33.72701370152751,29.167716966606395,27.500676460633944,32.096675242028816,34.383038447707776,35.627185864934596,37.22660348390361,37.9437052667347],[24.919190236418014,22.456786180371715,21.18622191907129,15.586758451816902,16.080194936074214,18.39125977002994,17.326286158339606,21.555819918147332,20.324748636613748,18.68262130074827,21.61234712811302,25.35227220264137,22.331516667679782,19.737852335453475,24.720414246691213,25.834015438400254,22.169369556670247,25.362126140966783,25.23437906827687,27.80968893706131,29.97925750966515,33.266811672078234,32.97934877183917,31.234424504228365,28.45962735100272,25.27546978873658,24.344697481035286,22.09776047065713,24.941344963826072,26.596880355065785,30.303911547478048,30.982714662795996,35.02144146922699,37.34399306857532,34.41478961535286,31.235776185035142,31.164965207723235,29.193657485760145,27.674164286961947,32.98918444091332,28.08473512602094,29.60315238113197,33.69504508400912,31.98197381255014,31.030772304928895,29.199908777844183,33.00061552984518,34.4902742262741,30.86781152990936,34.151905572100155,38.05866565811482,39.53589533705596,40.829005428003946,35.51924328897414,39.33343379856296,42.79571937388497,39.58596858069347,37.577748556674436,42.28666555988739,43.425711589283765,39.76885183533757,41.714253281955756,40.784146297602554,41.46336693336721,38.471796201203205,35.610909152629795,32.746588521841105,30.987073086222416,27.95764670439187,27.513857820683825,25.889045840682027,28.48356857556373,30.90083030600796,32.9498392223464,33.3129362305741,39.404558626650925,37.58219436086204,41.3034968060199,39.74934927296743,39.95393139869683,38.577965053747825,38.71306615833292,38.019558413766774,36.13229913339229,32.09460239969973,31.933296528341355,33.19207880076952,35.5614361671911,34.40757203264066,38.929984938052264,36.41666707942613,39.59265737088261,36.951137462787116,35.97204875219593,31.537859613812966,32.75842067231404,28.647163994724764,31.697548958817304,30.055382501444143,33.29315117871762,32.56002643996419,32.580371280640456,32.210697513625746,31.22532179183069,32.49480759093604,28.83186583181521,32.0117517616832,30.187220297347096,27.290592092509875,27.951042298082474,23.738709113949017,21.71621204113048,19.264780599032285,16.828567953042768,16.84786415267428,14.385238923691608,17.255382821934635,15.491879325956525,20.313440028517718,20.8092628609209,17.66347033177522,16.19914111811046,11.719142190360495,11.817375837755709,12.974797365501242,13.517813826281907,17.562749939631303,18.709746594794144,21.827570839666596,25.61532246790065,24.684403311590923,29.25018679022366,28.096758654347493,29.691913416062093,24.429593138136593,20.799367783006637,18.403819292529256,15.100042063015943,12.067243957094812,15.293928155719529,14.38205400845719,18.984719790601535,19.670543706915648,18.47855359816596,22.16181637157364,22.50445293039991,19.66380215575344,21.25981311009822,22.360522104599013,21.723610144937457,24.940743564948708,26.021379722111188,31.00607353814609,32.22501668125981,31.850797418534558,31.082180531167523,27.77408072088464,28.208531815828994,26.95854725131804,26.19708726908,23.201170871514417,25.13806774335716,21.372924953895456,26.151899980721304,25.173660351353583,21.386452130242734,24.16310483280985,24.3121820055139,22.616707419030373,19.043148829713054,20.879546548243216,19.49834944426294,24.096237733529446,26.604270490701957,28.384296031676282,30.779768089885984,29.510745804038926,34.968360686886335,32.882688664666276,34.186270974658164,31.2106270531724,29.07955944966971,32.04714686392625,33.404299611517104,30.06618736933916,32.00548471627136,30.44408153623556,33.714739066656136,29.281408583809448,32.00078432348714,32.14025960048814,30.986967920753777,30.413664514365728,29.05637659058255,30.268052641987353,31.079942738461806,27.11830327424826,29.84391717712205,28.394545074181714,28.34540583168503,31.841306870464795,31.44358468537255,27.30428856616959,28.1737364791959,31.895365663811834,28.6860499530701,24.64188007426716,29.482528943337226,32.578499141996325,27.05489458946386,27.82103571542156,31.604056374441612,29.823938973722136,26.49661970058861,30.085647056949234,28.90096826215356,34.41009069520004,32.19048832814612,32.69439551790434,36.55030783065639,39.99783041588803,43.67415550678028,44.826146989127935,46.319006658372345,43.55883889565861,45.38979421879564,42.424688739566704,45.618007436820214,44.81401602281546,38.578886081906795,40.62206548306293,43.436415511815106,39.35224186090052,36.693987366239554,38.85965294231901,38.902275803653104,34.95879475367294,32.44354975113651,31.53024261483227,33.747487931999146,37.17039683523326,37.78650173488388,39.92930803661707,43.41736114172358,40.38045591463678,36.517752058508236,39.741805266337074,40.30896630633493,35.37044799906708,34.8924563458224,37.88714181503557,36.27538076099055,33.33270648367587,37.99579822007089,38.97491609399809,35.001877924013684,36.140854959422654,39.9436776469265,38.23625612747,40.443214866706654,38.62877002642161,41.79837027632248,40.962953937574106,35.20290343749419,37.65924366900048,39.21210367192368,36.27967632057583,33.64625750770993,39.071911781466696,38.156390001211804,32.68069327951743,33.80610456564655,38.61518523281413,36.924123715076824,32.82051418277965,28.611362056721646,31.828581043221906,28.122200985734505,30.471658211670043,25.30268005701458,25.738956224964266,22.67727374653331,20.747488186527484,21.197554110458306,23.130867292994814,22.767947529163283,25.610886839662495,21.60312961942101,24.10655665914714,20.015293275650496,22.289339343863958,26.63148332775464,29.67870545601933,29.435704107756486,24.46715323562142,26.610356080321456,29.387186534632008,25.028132845834712,23.283155592550308,27.88851414346587,30.468818901531094,31.77804053971308,33.413836912288204,34.21424744505843],[28.61319688837997,25.8313955991375,23.90266878043757,18.752957350884884,18.075554314856824,21.662182898952818,20.37085703917495,24.488230951739688,23.85337018555943,21.805134332242098,24.8550423422903,28.46979199075912,24.67851144539143,22.541453105341468,27.201063483351078,27.856075462918433,23.675742715664022,26.396455080098125,25.52870942635996,27.672258264918558,29.391316707589056,32.19487481881788,31.694093038090617,29.51154847616681,26.908218642197667,24.331560775494943,23.548506230097924,22.111535909696673,25.576714822602625,27.748167102824997,31.900427964499162,32.613584617934926,36.84089365829588,38.707206652931966,35.44172993980582,31.93060805709366,31.87739782532239,29.036230852348517,26.9641494861386,31.66939888202105,26.455878445880884,28.454743810355335,32.193096798183824,29.940669017660113,28.51466210478562,26.245250681950868,29.803215184279583,31.83694785878683,28.291851370719613,30.931510111108743,35.16122964106223,36.80067707575982,38.37112255521612,33.46856787638239,37.467931430439855,40.94842582128038,37.705429261388346,36.214496287653034,41.065787440941776,41.756965871202254,38.51825610550767,41.008814447045616,40.574643580686946,40.91627637523064,37.61507307630924,35.1276677000959,32.66844186044929,31.492291773178344,28.697205519210435,29.01365421755164,27.360763834088267,30.09033051280232,32.40782838611712,33.75749198039768,34.341697120344485,40.175836861412535,37.89533549678062,41.862893799740505,39.954033035768276,39.62913595992691,38.372098911542125,37.99509956967443,37.620987556258,35.31908056531013,31.10166395993762,31.62774595972466,32.813699905295955,35.78336770312231,34.62514386833653,39.69560179061588,37.41183194469236,40.8099833052244,38.56887947875279,37.904075863320145,33.69586295893929,35.33907578025042,31.447036710687275,34.145237793323865,32.667002730794074,36.07139493239338,34.53792272850556,34.469856760965556,33.40529193735374,32.34595300220426,32.66537901952114,29.330900787587446,32.30650070812048,30.065683748749485,27.664046822791725,28.801456550169416,25.054766066538726,22.724171574894402,21.194306596668284,18.062290349098102,18.56729546875511,15.416238795177604,17.91043029159424,15.229714543945702,20.254389796798346,21.710900633013296,18.9828831068677,18.17947376559138,13.431262787967746,13.985642565274222,15.679304903625392,14.72658373691341,19.371088696285145,19.389695017921245,22.094764193537372,25.383054735084393,23.911968428939694,28.303952171497198,26.51873882376956,28.685923086208124,23.034218274578485,19.97606283225013,17.313975567278934,13.988487365519882,11.062173157417119,14.17507060137541,12.16737108336603,16.461344661941382,18.23487982792966,17.46959052944058,21.109004243800953,22.482581898662016,19.842298264998725,22.216388678337356,23.4892128378578,23.775425395411016,27.007177338523718,28.850791917370913,33.63249166882323,35.584539538316406,35.01090139223652,33.69710059813631,30.154420747989615,30.124980727424543,28.527846749563903,27.136806264249202,23.253226418504276,25.08268614261265,20.399187122810986,25.03293982896141,23.168355318149448,18.692708174565052,21.40196111424796,20.803012450920207,19.41209504859585,16.153706657862248,18.583954161236985,17.754273625591274,22.652033483145452,25.651793238084565,27.93480122915085,30.83491580695765,30.063528943124382,35.25279530388326,32.513779471363975,33.71994703627611,30.040272452380023,28.58914820427707,30.700591064070885,31.529626216608985,28.131851185738086,29.92025739851732,28.56212966992308,31.162470990858345,26.246983063079814,28.8859167058411,28.800866339149803,28.146161556225717,27.544489129348605,26.529121358960733,28.01147839647032,28.971062233346895,25.511894959718656,28.691850668554718,27.742965695437547,28.321837266792862,31.986037423502058,32.20486107509795,28.129740844072796,28.752105089875435,32.83908803299851,30.21609111963895,25.897750079738035,30.707099264427313,34.36886408281723,29.246284809334398,29.794322152174754,33.733053367474064,32.503735113581214,29.18168771050931,32.41675631261823,30.7486245744014,36.33993722077194,33.121672391554206,33.724450565763654,37.77727956024671,40.69110758853114,44.75880836550832,45.264633484317955,46.8518008932436,43.91919656181055,45.61874255112587,42.677767911922224,45.40197181868053,44.596052114153046,38.42876218183189,40.213180153508475,42.602810621951924,38.55397401659185,35.87484426150703,37.60231073469328,37.446057673808205,33.781277927094436,30.966120731389225,30.871287079745727,33.23553448414675,36.76473627121036,37.98887748873058,40.32017339193017,44.17936984181123,41.265245361835476,37.25275700010253,40.909465612445324,41.80923145418019,36.89194621764574,36.42558253345949,39.865274007882164,38.581139524780305,35.5305663525727,40.02440273072216,41.41706018221267,37.760937954121424,38.47318772086715,42.10936977496359,40.038203543608816,41.942261215398474,39.86699964434391,42.66403751098034,42.06975455872256,36.325609464254114,38.228542915124585,39.68840196460067,36.93190156520459,33.86118005416466,38.90444856284967,38.104371347813476,32.67715939001786,33.23457398297283,37.927410736118865,36.35684579019566,32.30220370312473,28.496028149468923,31.29385427606467,27.949872297653563,30.97166907845942,26.144989227874966,26.793501195462603,24.502836203861285,22.083598443390883,21.85685656108706,23.016722126109208,22.36939686990659,25.641331988451636,22.070157522198954,24.23594764933372,20.760926561030317,23.901708408214432,28.226123930556867,31.4992953230134,31.606614254703263,26.712093619113833,29.064980889806954,32.20187725139959,28.04063160573603,26.483335800149764,31.020878037489386,33.90701156611985,35.21462458636355,36.78319496923594,37.52877280858398],[31.565748545664235,28.98808308376287,27.286455724416506,21.90765071179076,21.283795140374316,24.00060655426516,22.14937654011798,25.924376829709768,24.617727663523347,21.87179479062512,24.44320521105605,28.344643248368236,24.326957339235378,21.63736767285328,25.945999974997846,26.811080763129173,22.447302463943895,24.54445875316584,22.995566140960026,25.601150998771534,26.87818505921808,29.90611043094639,28.985276335083174,26.820365143449038,24.57049590160444,21.843110985956404,21.76538904235944,20.590954703842478,24.245397666074474,26.913064315965862,30.317474314862224,31.818781936617917,35.835738245753184,37.31703687922177,34.278938098358246,30.533146215774636,31.15502654707222,27.916753697051934,26.01226410260804,30.962976088395212,25.40665022488046,26.73526896457289,30.46540479358269,28.369597746618474,26.68668956168516,24.869513313438834,28.29746008394277,30.341894725555782,27.403692570490776,30.25292047101817,34.29089575211786,36.14983009695732,37.35625118135903,32.602216655506766,36.86562020179434,39.875323452679055,36.26097754377691,34.93207823401268,39.76991589205984,40.12501976772539,36.54632200344149,38.911954665867356,38.47708523407633,38.37142301380871,35.204509838118256,32.99198728192154,29.9907106477977,29.126304908781012,25.895429437439017,26.51674870554319,24.514282720251718,26.93863363377055,29.58412713092244,30.77257938158297,31.910228026868197,37.661657949573346,35.712602178314086,39.873692427472726,38.24049044623491,38.089751869821754,37.33319205688004,37.162149071033035,37.32062451337898,35.28116344030849,30.918497952874937,31.19582711174358,31.710330244063012,34.91436409506624,33.05030446208249,38.16444643142958,35.534913752690876,38.618565036414346,36.562365298517,36.26629685152164,32.2563396452976,33.78208341189032,30.099579131119793,33.2975783272878,32.29069796837357,36.239018941518935,34.44706764143941,35.17175692149844,33.732348437599555,33.45775295767493,33.98477565807597,31.085384181367882,34.46627589601154,32.5749314936354,30.452417980313815,31.142347135004364,27.48322763301195,24.542872923391073,22.666376025725732,19.19768052410618,18.561780426283537,15.116934754563127,16.658374055684085,13.462483855149438,17.54006546397746,19.585023127374548,16.768752570544418,16.68889836775071,12.262287585022943,13.980792418475302,16.608680853918887,16.485672093044332,21.813462047912218,21.767522856062026,24.74735894758099,27.632233869581675,26.836130546476323,31.10024468480912,29.002411729118553,30.737123825700458,25.227260835304172,21.970638521332248,20.281853722249075,16.178504418421568,12.627578522300258,14.765318418752036,11.411623743092864,15.12396654382204,16.713440110640796,16.722286058824277,20.35275457164066,21.8002593919217,19.5511687443871,22.333491947338707,24.258480994990713,24.64453508730873,28.40790271263387,29.924975409836165,34.87860339694118,36.6769153442305,35.62759912062412,34.34148150765684,30.589418245787588,31.055557139885252,28.877319849078667,28.242147219895177,24.14789419070243,25.080471358870636,20.543706349555684,24.972107878524305,23.68991670279161,19.334229083411643,22.801470047330596,22.22374888165442,21.62005603206252,18.175227892426083,20.633944121192762,19.15963775124846,23.707465529167525,26.494087146932113,28.459593656934565,31.493872301089894,30.207348522845667,35.52549677460521,32.73061461481258,34.34967999713367,30.762526322987227,29.940719920693624,32.1749983598916,32.96882758826426,29.389589772599884,30.358617996251667,28.397025129826353,31.09228039895362,26.0471014611498,29.25443935129624,29.653131487961126,29.223643050098623,29.28079367369961,28.695728548683746,30.521607639049943,31.927301277259904,28.713286859270198,32.03623555458887,31.412676486885985,31.69773188818699,35.63943604164493,35.59521996647435,31.513339252585205,32.583669468582634,36.59056885874083,33.76338792945873,29.80387088614899,34.6758074482861,38.039477396917654,32.88029211529195,33.66909264690551,37.546548459579796,35.996474655893934,32.79774154470772,36.27060868121628,34.79625639877509,40.345912541801866,37.447279461697036,37.94708646754751,41.944718754559844,44.946082682350685,48.92980579817803,49.50785606734522,50.94629410096647,47.92832370617984,49.48331933919909,46.34830728481122,49.118559514320786,48.54243873205817,42.32337485683202,43.8980315533515,46.44765301332188,42.5383241042751,39.69079252460542,41.241835865931954,41.37345617542107,37.835963478192994,34.6253680977839,34.71720271092107,36.59223641186463,40.19437050509694,41.51252766133734,43.561704882737885,47.44401746763229,44.23515876688927,40.46439375069524,44.27508841241415,44.858174850422785,39.88741233480903,39.78396996798667,43.09315127522771,41.64532235225534,38.84777374781285,43.50728882871042,44.717838925136384,40.985478453371364,42.049133282791225,45.75628820300735,43.836645796589785,45.714729791135404,43.54868918143096,46.48965048838067,46.050131591612356,40.27274683136995,42.159161851169586,43.81748588204862,41.10684353695489,37.97446211424982,43.07705872837347,42.44294547341831,37.00397839954291,37.45406599481743,42.228132175230066,40.77286316682202,36.72396456536506,32.92994062190667,35.7705164773122,32.41577909039003,35.38322487619886,30.49097226022066,31.032415719003975,28.480237775817557,26.288354025921365,26.184616664351346,27.46626538742921,26.72835604115975,29.83390026679219,25.94759841647683,27.806370799226322,24.015789375645657,27.23124055204848,31.156856536998802,34.53532918615808,34.15534219547869,29.44802490483168,32.15472498726553,34.93897374628109,30.33687885491609,29.271869409828014,33.96849380456345,36.51354630589497,37.72582886692463,39.27018509895178,39.961268221298646],[27.553215672455977,25.11869956116087,23.55600422489618,18.09339735662862,17.60252706976303,19.16406219609049,17.04106012597749,20.67698572059273,19.009525007743516,16.336177756744306,18.924949762049685,22.853849813639318,19.23976823778476,16.397903255168497,21.039718445660952,22.119694004203478,18.16232050483472,20.94438922279011,20.50242871276788,23.264012932282355,25.323338603296015,28.763346454595897,28.411498366833925,26.835730409954483,24.091892836639452,20.706349395454048,20.017788816657944,17.804116938424098,20.77060626458234,22.827447046968437,26.166033883309634,27.363211112580938,31.322460053491966,33.29348423373178,30.434914509067756,27.057553760284595,27.44267672239029,25.168440055212816,23.807650783344556,29.382420868717187,24.34303424898843,25.366570554477352,29.529591512527638,28.06676376970874,27.21388712702256,25.825062971800254,29.676721454714656,30.852470128066095,27.540187154963277,31.244188857452727,34.848062369708636,36.38269863212011,37.3343153535751,31.987323242843082,35.92032901986111,39.064748495871484,35.65746087696312,33.612292690072614,38.28071026773153,39.333276379693864,35.41636267758882,37.218670245150726,36.2439494090819,36.785245569520725,33.87743067756097,31.071296723121492,27.994217317880803,26.330345159602075,23.19727729044157,22.963508745580608,21.267223839771656,23.930350930867483,26.30995513664829,28.18791526221809,28.702001818838042,34.74881987945702,33.00027669957501,36.82837913978841,35.389082818865134,35.697799018316495,34.621338265180874,34.925968615130536,34.609861048845374,32.9593647094036,28.82495473726182,28.408493073376277,29.194554748328418,31.71327354835903,30.110906642479883,34.7063128188986,32.032355258170355,35.12061563749156,32.642234901503706,31.929304120557926,27.661601463238604,29.00702397023417,25.098937713050145,28.31441866630261,27.097117797379784,30.903758608645006,29.6135803821447,30.366944572176937,29.448624392563236,29.250975126396174,30.614905219131863,27.49649402538076,31.14820260512295,29.74452049141373,27.320074918606473,27.439056868254738,23.501631355094784,20.581077057345034,17.97106939595673,14.927256454751301,13.82204897349405,10.936537827476077,13.082330535427076,11.104207526450118,15.557917872503834,16.225813371424362,13.07818856785335,12.076380121650962,7.609855185070665,8.872155975214705,11.372994101807738,12.450456297850991,17.611294972394038,18.284553681159153,21.682821179684865,24.836976078909615,24.812352556176652,29.177898078541602,27.6550128275426,28.652488242119336,23.610030903670467,19.720074120450622,18.639870412854698,14.331998379685084,10.619104357671985,12.790597344438261,11.25573934975763,15.570486083399045,15.676697487373296,14.834684122898503,18.497867002682554,18.763520182656617,16.219220171428965,18.230754013125722,20.016580895935036,19.73887267978964,23.583583717084906,24.614501336564615,29.692881213804593,31.16065537399076,30.117547258118833,29.0876248469122,25.456145610043507,26.245475694895706,24.288804392544748,24.182685174929546,20.87046780513928,21.950870122499282,18.394410841220513,23.009038766601105,22.724893251725106,19.292354326383958,22.777495366520775,23.28736324486791,22.290970216037724,18.38157183393549,20.06231350826953,17.86388890338748,22.02502222383002,24.248871367019294,25.685086857345773,28.207503635508186,26.483440548332734,32.046076324784565,29.898681789024238,31.58494849170442,28.75653586865502,27.219269477282747,30.375080111197118,31.7811866902272,28.273407996712265,29.475125973555347,27.371289394767015,30.918401930966898,26.626507139138088,29.796811542026546,30.458238480982203,29.29411057166312,29.405575331235124,28.423969267069026,29.988632791758167,31.379759513862805,27.696451190627158,30.603682652775106,29.71690655646179,29.222137008539267,33.220140366959264,32.50171425340654,28.40288749611663,30.048248592336556,33.70371487902423,30.375332531284116,27.046485695558587,31.962374786852504,34.65168614365948,29.42746924945239,30.672501700994104,34.373110322841114,32.29573756154492,29.46040958810032,33.390865195037584,32.31270113080593,37.63369234691024,35.75768564666802,35.809412036284826,39.57884054768709,42.93567498575392,46.557753441025824,47.58178380278351,48.68540979537415,45.67204390887508,47.14805789629989,43.814136178295556,47.01688986216514,46.67346069363193,40.35344104776146,41.954332317548136,45.063190170028705,41.27457056066248,38.26955107167114,40.12978429460952,40.7690016798159,37.0613837925156,33.76877678415245,33.17788237432577,34.51965655071678,38.060542187666535,38.91323437364927,40.60548579993579,44.205981696820864,40.73881329824337,37.239641645681814,40.84570671781648,40.99549634791045,35.998630126097886,36.160642846107166,39.12228428047456,37.416200655822244,34.91101726921567,39.7673202698865,40.6566789036966,36.82696090778529,38.38561435342772,42.18729112239219,40.58258057529744,42.508060055556854,40.37164608987385,43.67424680525695,43.31192168190015,37.51354415154793,39.6820013203473,41.67776379410466,38.96193876734865,36.01458631056407,41.48516008457769,41.096006519882486,35.61445733563676,36.312513557146126,41.35947239234469,40.10505300845278,36.03712348253616,31.99806866535459,35.51620452557524,32.08593840577971,34.369753118763875,29.158418551504614,29.056789964786155,25.850878612943834,24.522723073185,24.683974475794887,26.684119300542797,25.779799273807274,28.193571630337658,23.615518698467845,25.385011316130218,20.952325343503155,23.675730494415046,27.246291578060738,30.550248546502623,29.690022986346968,25.099272280055104,27.98898673458125,30.348150065459564,25.429026994253803,24.751233007010388,29.55849629802809,31.761368616745767,32.909317543426496,34.47096753161292,35.21870935638881],[27.89697670551799,24.94855591620103,22.394575920891114,17.57990676438234,15.499092963533208,18.805984416318502,16.694910900927606,20.36763248355695,20.025590748497205,17.57406989058715,20.725754572227142,24.080502821971713,19.83784419485873,18.294810511850603,22.74091164152511,22.998611010539395,18.765247319183786,21.66157253286713,21.28181583338379,22.99405186107223,25.14846178691807,27.889541424911563,27.88852494545949,25.985488766869103,22.945204202531432,20.259594649943896,18.857198530251313,17.133932873130668,20.46081969841677,22.487718757451557,27.07181955129496,27.434906079966943,31.767975520359848,33.632813044315164,30.214677540409483,26.78699121780127,26.48226123892654,23.799326922064704,21.7882131371232,26.64195067987133,21.713703626671926,23.801245913919264,27.69206506622493,25.70878468239126,24.870360282160103,22.79949377436488,26.703514197367742,28.081976628996017,24.194725704035317,27.450127742911363,31.3573359870674,32.77241849920285,34.1908856302435,28.925160867246106,32.72981488102548,36.3359656957876,33.279798853203275,31.414984603069705,36.19806028025488,37.28433406588994,34.021864970959285,36.37436273679348,35.8220274394606,36.592887874399885,33.289821180270714,30.48779963041548,28.452425751419305,26.993736634660845,24.724246784192232,24.947155856545898,23.741924769960175,26.90589910645215,28.63906953014189,29.921011337684256,29.947864695932658,35.74921385789116,33.174851770717616,36.98518268378918,34.91808773571102,34.569948989263935,33.09007539795201,32.77366519842479,32.22933309823247,30.010057864235133,25.8498344006012,26.217442185588364,27.593675100876226,30.404617995629057,29.53847029174135,34.57595749641361,32.53970439342901,36.18650166855144,33.95262237106294,33.17632590830212,29.015928463902885,30.970783753574263,27.184602763430597,29.35365987335617,27.87074356725176,31.316691693569737,29.35574594796138,29.326668502665072,27.991746799434946,27.106009342715,27.44144634211242,24.33769820584415,27.609703118761022,25.701241243317984,23.594297354513518,24.31038845446525,20.788444162813548,17.85028784083726,16.468281378728918,12.914568527022396,13.477597832595512,10.21292375727165,12.938765053702253,10.693482790176908,16.371168727911765,17.300471284863434,14.955019792227882,13.92888699800409,9.239804540429205,9.43874515658502,11.437028428956163,9.969226563819765,15.425476104719504,14.938690807674257,17.873519550442943,20.777129111574464,20.139181198820996,24.437890350582652,22.59574215802869,24.12765868833558,18.72299097479451,15.253218446991252,13.705581616372365,9.451294306910674,5.933957025365574,8.870264292183123,7.963253372210898,12.721623183632554,13.733279206696638,12.374579703106585,16.003033764310004,17.1165685900558,14.388327842709744,16.78841485297643,18.160258197350988,18.824775247865116,22.249603729963205,24.401325608717595,29.07637914271272,31.541175173777415,30.619141135636085,28.917601157210648,25.22466795319726,25.076662325027407,23.23511463623953,21.863592227572973,17.84752491829241,19.591192287894216,15.089840456230073,19.806560820093388,18.43770286133892,14.551125982333174,17.574669081942407,17.92508131627149,16.68064738801379,12.838426602164127,14.711238179586664,13.055349699525419,17.698170821765753,20.44919322396984,22.53815692004622,25.398027293728866,24.558803327464318,29.756709246281822,27.08351457439007,28.366892349035254,24.917032457827922,23.453187961254056,25.9324885043805,27.044040065942085,23.583582295784588,25.263458401700216,23.75448382508734,26.86938882513124,22.46535737349601,25.16791243424512,25.446446348753053,24.292539718902894,24.051898902695413,23.018260013732863,24.599929197171857,25.985315660868178,22.510924389071143,25.67608713035478,25.143242257828945,25.083635320764046,29.239222099061863,29.044297972912148,25.006887375002314,26.49985888997638,30.46868511806081,27.712071379494283,24.249676834245797,29.142897522823084,32.312212485651735,27.61045144204275,28.753996870883547,32.595158814250176,31.100784704134004,28.446178610895124,32.096876561106725,30.52872876053305,35.828535201106845,33.174665705503166,33.04940401709252,36.95241841079395,39.78229472675937,43.73691441245529,44.13991521075589,45.18915010002599,41.96906870339421,43.27399732291195,39.92057657990291,42.75762738280688,42.472004090216906,36.19235243006379,37.5513719988427,40.40918422818566,36.70397413343794,33.62207586235092,35.18499335811595,35.82426190594862,32.32887424411679,28.71097149116093,28.646667519605288,30.01708753778811,33.639814612850444,34.967704560024124,36.83157868517212,40.76095058876887,37.4542068215834,33.77027372884084,37.778202011364414,38.29799469312396,33.33297165432165,33.471402500143796,36.923537204836336,35.609932980816744,32.97973484778923,37.64865314072414,39.02367815346785,35.613970521065845,36.6975968933842,40.29822656894933,38.30705289964443,39.85160784502254,37.40571357374278,40.3674459521001,40.326782197200366,34.54028717603798,36.140536962360564,38.16733216317847,35.6763203413645,32.27519425536766,37.46632696948258,37.36783714536001,31.93498375945623,32.068676344830614,37.13324402942841,36.18300149657511,32.186018473180475,28.526512676309306,32.02021489971474,29.074295464970955,31.711827906215998,26.756709634833594,26.45040000048249,23.92781062258612,22.511524474250205,21.89294839311122,23.38966620514269,21.95597905398711,24.419930134463126,20.021906787546946,21.387488041511283,17.488769828109092,21.096780449151215,24.672501245403357,28.20345098763728,27.85492450131996,23.297660923156336,26.383811048142736,29.23217363623558,24.706725832411493,24.163372481967944,28.861233286157418,31.53724485578189,32.720525271657756,34.231052313153576,35.00415491837702],[32.854185767144244,29.935492991020105,27.44150948771009,22.609850276085673,20.59476277859101,24.058063350582184,21.8248142610423,25.28510403820565,24.72032038066516,21.747276273391336,24.52582741764475,28.03861964554263,23.36545907758487,21.559124168671914,25.505079832617362,25.715910109169695,21.079150799769277,23.005109338089078,21.355636748095296,23.141247126819533,24.409450198200275,26.892783629980805,26.24313255155488,23.865607076840757,21.383973854271066,19.212639116480183,18.697244421433844,18.05013042602768,22.02180587530294,24.846570606405596,28.992416173141,30.07514900570369,34.30151080283782,35.515886147880025,32.09211478831932,28.239949249044923,28.55030160925575,24.830515704627956,22.482392822228153,26.882372255232976,21.348270951438042,23.299480604207904,26.79311944508747,24.365702056287752,22.705970076608057,20.506698899148926,24.00786890581261,26.093602122519577,22.86173491403841,25.511980700905703,29.675526154939632,31.450930354796036,32.865476550738876,28.20420734147889,32.43378752058523,35.65136360528385,32.22763782649676,31.054708588265743,35.96369165560246,36.29031369479854,33.1409924026114,35.89401810288581,35.79811124095175,35.82125278861686,32.373185507245076,30.20419438122538,28.004100766454904,27.36361263070814,24.84366648771251,25.920137848669082,24.330389826811754,27.21143763427946,29.2447984461261,29.86372350914474,30.63098600600604,36.12352457203872,33.52919717733622,37.703643956048666,35.615779587297936,34.96973631015115,34.05421965774883,33.46653040469794,33.656357290458736,31.276385563019346,26.881069857072543,27.680672402221038,28.392366608218083,31.90450878457058,30.413724043718936,35.8919950433143,33.72231804486937,37.2064893724736,35.43438599413735,35.20590064419799,31.38769353352036,33.43981248638562,29.96727952127565,32.39705869342702,31.392886686960942,35.287472861577434,32.74790083055604,33.22839815428705,31.217115543396677,30.826140338174632,30.58617122292654,28.05348298743331,31.309874675698968,29.275581051400746,27.692433254114338,28.551556954478425,25.426006845660115,22.140234558729514,21.127691155055786,17.183395497285158,17.15559041200511,13.405091218375444,14.789433548580979,11.266511807774577,15.992694877772646,18.335133745618805,16.23340023054372,16.358600928215118,11.998284353969378,13.478950480614762,16.21268824378103,14.757228093084073,20.456691671143837,19.390916220323234,22.025281783080814,24.277111499987353,23.47494580077669,27.45424341817918,24.916486467601548,26.75027494951325,21.198132450505685,18.335743287902268,17.04510642025166,12.790898721280016,9.50429535771564,11.08427937983826,7.311099610784316,10.904781979972881,13.18132673433699,13.169465169266633,16.63299346666175,18.80706428516391,16.709883514625435,19.96337786783189,21.88918435240712,23.123486199474044,26.785856026583037,29.0470794029648,33.678720345994286,36.29543242280981,35.0470661849156,33.1606406600341,29.267585203585895,29.207332487342764,26.809081466676364,25.57516466305335,20.87953401157714,21.776831403438884,16.66866036896595,20.920055677328097,19.093957342446267,14.527678885705953,18.002686669751967,17.34707965028318,17.08790055486878,13.699963256756057,16.26547976716824,14.911261556544211,19.42545229626613,22.439048319722257,24.71152004360406,28.047413201745908,27.24142741421919,32.23730151479924,29.006935682539673,30.49149758718795,26.505499222876875,26.150519121375734,27.845156964782635,28.36819103801446,24.7769790890636,25.654026123625176,23.888474013570864,26.290324706866258,21.187620204809146,24.262492270313416,24.62774071293406,24.283870716161086,24.468449218193808,24.124957460728396,26.16588449691157,27.871498990721285,25.074570601505933,28.64024125843577,28.594350174049794,28.99920110160324,33.224899277721775,33.41937249879369,29.478456174802492,30.77624670927054,34.91725033507115,32.48540211269318,28.82361334211831,33.64484991628972,37.119225654440214,32.52384593330714,33.4607573385807,37.366183111602965,36.09662072609933,33.27909783247842,36.710164228279076,34.952344430323905,40.35844586163155,37.10350543032185,37.236284900220014,41.25490168907074,43.80827860320301,47.981999330780866,48.03213808625339,49.220012826894624,45.94123325911977,47.17855359590825,43.87191765379373,46.34361951925149,46.04977324822713,39.87369682403891,41.025512974142316,43.50660998815134,39.84883364579193,36.80005678885742,37.94065747278911,38.37397583966276,35.16693466175785,31.354335154104227,32.0255635191383,33.46641909824613,37.133272885944706,38.91630854913869,40.85232768703588,44.999167780791915,41.73277501182701,38.04545005027873,42.29674370738486,42.94605040314625,38.02790907081726,38.211189934553126,41.82766007861667,40.6347166590284,37.978492739911935,42.553141605538215,44.06640290561637,40.73297083892916,41.64640920984855,45.184531332402486,43.04531283205295,44.493051678456,41.96131349039495,44.69165609979544,44.72584130652675,38.98839687142158,40.29939752526255,42.18452230047546,39.77155496757789,36.18396310215619,41.046963421792,40.904506997637455,35.55109924145488,35.36437719767621,40.223868698793986,39.23698738038052,35.296888366324765,31.907086499763434,34.86948688812272,32.04505618854659,35.18627309664189,30.4892130901458,30.602355169171116,28.47669490221028,26.549297221441165,25.778406244845108,26.729033475924275,25.36449792660388,28.243234670122295,24.317988008510515,25.500901318574687,22.06956644648851,26.0008995197503,29.496367784356856,33.08961732820192,32.79947759255386,28.372076618602822,31.499690952863986,34.402928392204075,29.889379839731525,29.39586232859928,34.06256315935838,36.7508149192715,37.89042260944527,39.35304477945855,40.02227529451295],[34.51885845725084,31.815384033618535,29.58519368453133,24.549224546491565,22.736253564168695,25.18674017749664,22.488602599299814,25.552004223571334,24.32675565895652,20.778728396235913,23.03913750720144,26.751218586074284,21.984877148228883,19.686178768732912,23.231466399528948,23.657349852391054,18.9516592153885,20.310608421101914,18.141550330341694,20.465298441459712,21.45958728316227,24.319023613978565,23.380484595281622,21.1945229350228,18.921070997744305,16.344684502415426,16.487193550315553,15.894959429591518,19.905758845474374,23.112796942057646,26.452296609894212,28.263493817204644,32.242257430028346,33.167612773908516,30.02224435875666,26.022529969156743,26.98605904834981,23.100545192029486,21.101242943270393,25.93608526466678,20.211067751437376,21.28510486855759,24.90431053786429,22.861594515142347,21.192610904933264,19.699184366415174,23.17090328599187,24.949699433887194,22.3063817406248,25.46585490627443,29.22805449908774,31.156361724400515,32.07817341064031,27.404477551550286,31.78257689751373,34.53639532351909,30.791719946701132,29.570736489353184,34.39776146269675,34.57879081164784,30.946361273254432,33.40691713960168,33.16036381027754,32.900854437394855,29.64428644289056,27.591199997405703,24.791262103470913,24.28721819681239,21.350197769476384,22.604464958346313,20.752408890331353,23.417178805103465,25.67131858188588,26.239926919894327,27.418525332286013,32.89799813621201,30.67415288911157,34.97164082448415,33.2128493065896,32.87164722278525,32.39824384400254,32.16220049130942,32.781032243378434,30.790102379477602,26.34775022043916,26.67204417389991,26.73114449780341,30.299332219995005,28.13388616006152,33.52692221282934,30.999063741663154,34.17201294628968,32.50145372536859,32.55719494583503,28.910369876450407,30.823042140760695,27.554584064191822,30.426179410274745,29.855072645477605,34.211642399955466,31.542589675090685,32.8015957437009,30.568848574643344,30.975000293127454,31.176955307214474,29.020344401853727,32.68882404972263,31.132536217503517,29.69994572577706,29.99860819302883,26.89552555811436,23.14572862744135,21.645510714482075,17.603463561834346,16.347715610135747,12.54966214364202,12.863808567332047,8.987711377200922,12.642780470859291,15.424053314647148,13.264437446729033,14.088307180026042,10.33917389019317,12.859363121921799,16.30042313504824,15.89232760671844,21.929351948348707,21.068072220631038,24.011082949497148,25.983904112280975,25.99990961828191,29.864014105504914,27.281368002016002,28.470033487923367,23.290858165397758,20.1047209319892,19.823921254052003,15.03021525058968,11.355327639003756,11.867318756471292,7.328495400537652,10.09352837043116,11.526036768349986,12.266186863650146,15.6463882356534,17.54997279558651,15.87145858258324,19.311386864757914,21.8279737259423,22.982037495433758,27.095075791458747,28.907531608633448,33.6721005976556,36.04677354483597,34.366919859877946,32.57780053650367,28.55460550905875,29.043837823286918,26.15971585502786,25.824354580218895,21.219744393857788,21.199144955620678,16.644970692316544,20.630023627407997,19.796268406673345,15.847664577450768,19.96922987731293,19.728056588301328,20.050047370178664,16.48498263292668,18.709003792202573,16.562189746750036,20.451525243939038,23.006258873578677,24.75292823227465,28.03511064372637,26.58973883700737,31.73616550886683,28.660992545607982,30.57669010573258,26.960454797774037,27.019488879852382,29.099648100153818,29.77834777960475,26.085115617130093,26.184332989440755,23.743153036488398,26.502890578768252,21.59033918187318,25.207772224003786,26.15296252016345,25.802358541612406,26.641675666731267,26.572756561403626,28.796413961929222,30.844223907198284,28.120398156622194,31.62341665687813,31.719895149774715,31.661940357480155,36.080065455294175,35.86183513008281,31.92612691847226,33.7052750115423,37.66732870957873,34.92464555531167,31.685559756243673,36.562642577818366,39.61692596676723,34.9490996024058,36.16878400904703,39.97938230124453,38.31387096768714,35.655765693814224,39.38053674303923,37.88620811585578,43.22312351320428,40.4920782794523,40.466671704932224,44.385559303353126,47.13706112303429,51.1449359315593,51.401919200438705,52.387916050858784,49.06117195541197,50.17652610682891,46.67248775011168,49.31023470582978,49.25553816981832,43.02180370680196,44.0330745119859,46.797311866273915,43.281602508179276,40.07944695329097,41.1827957999852,41.971478689130436,38.80455799286912,34.724793808525895,35.30184893274956,36.21985263583856,39.90511769622609,41.60048904257493,43.198635673070044,47.25593961907511,43.68218474337288,40.29111319992089,44.579293430752465,44.838904350179405,39.88726356910872,40.431521196037316,43.82001783671624,42.41700556207553,40.04766434742892,44.79740248887521,46.05932091761867,42.62968047790754,43.95697279115121,47.580965922315386,45.66086082224004,47.123821377259304,44.551650764096074,47.50273416227659,47.653912173151035,41.888897448566134,43.29822513868803,45.41396447182154,43.01489832509713,39.46889497446781,44.48962783389655,44.50244534831949,39.12129704699638,38.97715835350166,43.96098235275409,43.078691190867616,39.122078744411446,35.62638039121483,38.79384654742345,35.866764793649835,38.79044563474186,33.92337804272542,33.84880326336176,31.32807178979465,29.730860133469307,29.187329127290706,30.447426465440103,29.055092690356606,31.664331989960434,27.339476197551065,28.32992838595043,24.48754073970684,28.25770756369719,31.344887833110857,34.972491224783724,34.14875528940489,29.932976181145396,33.34600607127122,35.83574257498674,30.91358618460389,30.890233775731414,35.67834989462101,37.98775205311179,39.057088779098144,40.50504421645999,41.1442997176073],[34.1400418294892,31.552618108554356,29.40478052660307,24.385171086625594,22.545849263025023,24.292427435210588,21.292205857437754,24.044996049463116,22.521004278455802,18.710089042040053,20.72473085679255,24.461359610390517,19.69819020620171,17.252751048655682,20.627927322667475,21.14146038557033,16.49669592007047,17.800816099486745,15.793509392553592,18.36306525291075,19.548959639635406,22.710733963148666,21.908911924687875,19.97767445967257,17.62237872060295,14.667940093742299,14.801774252938039,13.836929354284818,17.645405724511615,20.8386419475056,23.862545195999463,25.867899107908585,29.738138941984623,30.671217513449523,27.674050348683473,23.72270995535235,24.8729408672379,21.216814613872085,19.558325893972338,24.7683101281365,19.19901168218377,19.796825906280695,23.598409655659307,21.992659079560376,20.679617301392547,19.665293575980275,23.271398670805304,24.54200370022555,22.000928145080238,25.691975874052073,29.112549977618173,30.965653600248363,31.54239442695732,26.666258879083813,30.957347737601342,33.596996978162565,29.818885606503425,28.29112671192261,33.04377737805857,33.441930618119294,29.481601294524665,31.59084576385007,31.1122285167451,30.982470711565373,27.906048410891163,25.66611174502634,22.635689649683055,21.894277458165547,18.865920300637523,19.933560936229764,18.111527097344943,20.830802409628216,23.02142115315472,23.76537877482286,24.858923328512386,30.438484398339874,28.3879449979256,32.62362120095277,31.038539438818265,30.960901977629455,30.559286350450186,30.6606558104454,31.286410374004262,29.536358516147352,25.160534602750563,25.055035879898448,24.947205074847467,28.31425722193485,25.97511160212912,31.17923803023821,28.51136725950487,31.592544423194493,29.843769874563556,29.893380627421497,26.25630331523754,28.111963671417328,24.895146708095723,27.880887510236118,27.447731702750232,31.955549135111486,29.30826885215311,30.90388678204059,28.68389389436196,29.460764854074405,30.057411835043908,28.03641605104843,31.948153178920748,30.742111827450117,29.32881025843854,29.226426441645355,26.120360753328097,22.15905957684741,20.332649484804527,16.355813897174173,14.432090174782251,10.76374687266788,10.678934159006777,7.072270599384466,10.416122678683378,12.900863141323882,10.669601176321615,11.611057665261098,8.260195277972949,11.177620759763549,14.909562598477972,15.132870974960765,21.219969308193797,20.549028731790663,23.685120714620613,25.556756739151226,26.156417805566054,29.96687144800206,27.542085353175967,28.223085564443238,23.379937235693827,19.90530561489867,20.258396982305705,15.2331808241416,11.445995919387453,11.44814280001847,7.545924828129207,10.090025632241229,10.429132344640449,11.124851058930206,14.431131719192965,15.790309014813875,14.224703063160101,17.526479385630672,20.27166375267308,21.2793684970014,25.59244030062852,27.1302624721181,31.9228190054399,34.17647021096002,32.28413122433796,30.553540935203007,26.505483708325812,27.287546317866468,24.233758013735685,24.41684896156656,20.075277152063837,19.686716359328805,15.723624356598364,19.621670397780157,19.55204592178254,16.253138363618962,20.573411634318607,20.898596725666742,21.27241895039139,17.51718576005888,19.31715300675076,16.63825762285154,20.089901289389896,22.24773219818621,23.59266771120709,26.690512892871872,24.854961844697705,30.12231036146148,27.306424683177042,29.412694044117607,26.209450693750732,26.223100129306346,28.734344860531408,29.67437386663962,25.985107065677983,25.857216957428864,23.11190901944109,26.313596849272905,21.862127247106564,25.59657508018839,26.85415182017612,26.217888813289317,27.321249228666257,27.21767797005762,29.414715098397135,31.593580304158,28.78157304969815,32.126208506299115,32.23533748303371,31.760256571776285,36.285463860705796,35.714717029242024,31.803783421061254,33.96533037319046,37.74835856370642,34.778121326175174,31.942167550462496,36.827263880825434,39.51175328655415,34.87367011381145,36.349294721635275,40.05577851570141,38.11288856802242,35.68151293724104,39.62943246673941,38.33387893763254,43.5406759598812,41.29575783513433,41.04433141982111,44.848356606716,47.736958171535655,51.57582136726475,52.001856402069905,52.79196257151426,49.43156553809903,50.44543304614038,46.79171604299316,49.60485859328559,49.73953224441651,43.465224364108,44.39620801189325,47.43659767401047,44.036329792255565,40.71724525916655,41.87440815166884,42.97987451152601,39.80238272487013,35.56108362824852,35.92659492476663,36.43552590960326,40.10676001820911,41.65306585480395,42.987395635538995,46.93344522162382,43.15657877012451,39.98823138329528,44.25492790245079,44.22410059745432,39.27232857590014,40.07188581526203,43.2801252981286,41.74048813228124,39.60323366832396,44.46145029590856,45.547593138958725,42.100289070154886,43.72881002872442,47.38704593200651,45.637509876224186,47.07692433745936,44.46899213820659,47.59376661556067,47.858254823001054,42.092866343156345,43.572788128762646,45.899848141632965,43.53457548937987,40.02985705972992,45.196758019104095,45.388702369807376,39.995519001799046,39.892367454086916,45.0187384870121,44.26446595125999,40.30939121787541,36.733921263453006,40.1929093612044,37.244197745515336,39.89395892087206,34.894710009249025,34.52474061179639,31.715810450118077,30.52406724122369,30.08445314627869,31.63154279575579,30.135818755727293,32.412994306298735,27.73998251583273,28.561484825758342,24.42194253960791,28.03013801935839,30.769356699906993,34.39294279880266,33.21579965435884,29.176028635195312,32.79406190684599,34.97820641642821,29.822343797649946,30.190105580410272,35.026912517031256,37.08014573138649,38.05994545540521,39.50082909005312,40.15292078879239],[34.888597509161215,32.48383879829116,30.639353079395303,25.47132848306154,24.065415153244835,25.296462398165193,22.298929697956112,24.941964559974572,22.97735752293696,19.074745496262796,20.7291129292254,24.601150361485786,20.086063637546925,17.19275777401465,20.385013063029696,21.193239785693194,16.724715318675123,17.704001716266028,15.430900867734275,18.47329641559091,19.445851588488374,22.864578215179336,21.83684994823377,20.091549976067977,17.984263129636197,14.775087448614759,15.439777400225699,14.467501715768968,18.062265397033233,21.321413060424497,23.665414486503405,26.124943235133,29.770915572726274,30.612547188596597,27.881979182065095,23.94207217076403,25.473224879448257,21.916329914763324,20.558541072550902,25.93865721806475,20.390824170089267,20.422133185701952,24.24836570345488,22.89927826086744,21.576104508925233,20.959247403882642,24.435015505569904,25.58000764796051,23.410102464949368,27.222289355532823,30.441062350576896,32.33898507781365,32.70955960387643,27.899801433660055,32.19188299977755,34.531336941587185,30.607312843318777,29.087269920216432,33.72179478510145,34.01829053204475,29.81650319023836,31.688958684326522,31.075723974066815,30.754693175937216,27.8573020490709,25.721771544092412,22.210340434455976,21.525686425092076,18.088652740303818,19.13984413079941,17.05129383175054,19.463627325925927,21.95692233311596,22.809213751516655,24.251024922338708,29.841650003497023,28.159853147429487,32.42437077191255,31.127906357744166,31.30490797512563,31.171992678708264,31.51618852052855,32.35198401307631,30.838805657692248,26.50336154069085,26.097082851087528,25.640153860889825,28.921313313671995,26.195439220922335,31.21545835192909,28.27811275729713,31.064053907224945,29.31594891539095,29.501815336598824,25.940761370746095,27.55655226267928,24.41905563616003,27.812206411745557,27.59166942889138,32.26663705482498,29.789342470473724,31.755990093094876,29.612763804432568,30.723047934222596,31.634799097955955,29.69323888507972,33.72042208741234,32.69261163640836,31.22224159969345,30.922397637946293,27.742820016016633,23.786045455590838,21.636283157787542,17.871752093788352,15.415551905974358,12.063753039267478,11.499276215145215,8.231842034541257,10.168747416601308,12.769248404662772,10.389871739730763,11.659616721272915,8.946412986874648,12.170757470561602,15.927268644658236,16.830275912078847,22.759093518986734,22.385412405881425,25.629903040256835,27.534188262713638,28.325912218410082,32.12956302365307,29.7892270330498,30.289026540061528,25.59968859224942,22.048580600659857,22.51697680017682,17.507041991552427,13.704664922982529,13.636699758540095,9.875850519423896,11.846027205571675,11.729459773483427,12.770420984814862,15.84674124708527,16.898285747101408,15.574783044667184,18.69196404131772,21.579073653416845,22.31624099316331,26.73024642074139,27.879323038921235,32.743866641785566,34.660082266899046,32.66307357846704,31.155099633943884,27.147975554199114,28.2756337137486,25.136510237906602,25.808549956316384,21.72922651481715,21.01189656120366,17.502551641781075,21.19009820267238,21.51201511705807,18.505095127230444,22.879909896368716,23.243599325279657,23.695499576864087,19.95225536261124,21.696216481011618,18.91446269016405,22.126464055691507,24.066624313885395,25.142807997176188,28.107084987538318,25.95053308755727,31.266251247398586,28.631333030220603,30.90449401718156,27.94829842495643,28.024808900260762,30.713454461099445,31.72627760341866,28.049987545098187,27.675930317305085,24.700625267644803,27.992869659054126,23.64435206740791,27.55720286362809,28.97769408339334,28.365447186033787,29.61350111165838,29.551262375505736,31.746132960109055,33.94046098668265,31.086113188411947,34.36502276952212,34.39331413919489,33.79198897125804,38.28273550116629,37.554203212206936,33.635296502967435,35.85410264800805,39.54651013800231,36.414417822596775,33.629912866180014,38.52024956963787,41.054616452302476,36.2805534901508,37.790119593468134,41.44830932658422,39.32950602752316,36.864478562540604,40.88543763371171,39.74016527068664,44.94182769269844,42.92643853055212,42.726235694715506,46.491279893866874,49.53341140372208,53.28305478944959,53.88040980640467,54.677710022976356,51.366387607577195,52.419028700830516,48.7578024564758,51.671977843346475,51.807108708620014,45.52545191040685,46.50618560105271,49.62134548592217,46.212854675574555,42.90543617065408,44.13059854019265,45.248386759504335,42.0106773644333,37.84379094812299,38.078882041929724,38.554370509989404,42.20885102734611,43.62837846324878,44.88770180059125,48.7324672103063,44.890153304255136,41.8100189462057,45.96969232438103,45.806811055310106,40.85434867010566,41.69103098588843,44.74146262850483,43.08231604789966,41.009623443877494,45.919459389373415,46.84802169626366,43.287965130122465,45.072225282537886,48.78510934471849,47.16055520441775,48.7049649481118,46.17939703123308,49.40800712482186,49.59387737840424,43.82474258311471,45.461713378016206,47.790126915944526,45.363402857434835,41.980233105619575,47.22981435567585,47.345998895468135,41.9306107193558,41.98067733302414,47.10578730067573,46.26340401928114,42.285348347851446,38.600483142524624,42.060888204346256,38.96640659861423,41.535233581650594,36.46700997835335,36.16247193754016,33.16658925368687,31.992252862623047,31.763347877157493,33.440986196452116,32.08980630138501,34.36427686212278,29.634434407503008,30.56605562328261,26.285054230664617,29.648883847810506,32.35672109083237,35.91239699435441,34.55368997946353,30.55418654271991,34.120220210502,36.126958699386726,30.867349462596465,31.23107301778285,36.06900940741406,37.929618825621574,38.90728850960815,40.31844890320225,40.937294966440724],[34.6325250577605,32.4083702408146,30.84179504022377,25.630958370976835,24.61776190264132,25.262746971165033,22.30179847008458,24.836148178173705,22.498549995085114,18.653590538241584,20.057501458770705,24.012433022405897,19.89046021234147,16.649194099696338,19.84358124456638,20.94545610064721,16.814868762425405,17.838203537424217,15.831136752151917,19.09825818324597,20.124659283771997,23.656331072503143,22.65566419706521,21.102752757891174,19.102669984515103,15.811450691556317,16.59009831239224,15.389478102066521,18.530498352357174,21.55155501913972,23.43894595800834,26.042468379573833,29.500176998418258,30.44965705018565,27.9601244311527,24.18780154874187,25.82600501086235,22.64752152579255,21.601567994514834,27.07028956002423,21.745369802950513,21.461773662785507,25.25146656657876,24.17865708871695,22.987662387471918,22.628495037287735,26.040855480757426,26.993565181170148,24.988378564921902,28.939958399235955,31.97728973644322,33.88983824067518,34.076942219693066,29.263709786029366,33.44271369940809,35.700363228064916,31.78960576230914,30.15424570318384,34.661565249718166,35.02943294256698,30.62865728472411,32.21266219196927,31.41927892097775,31.144871341874634,28.43020725908778,26.252673488118756,22.508018964090915,21.668681886815644,18.06191936105706,18.76839101066948,16.635028762847686,18.8123938429743,21.425731208417993,22.58331419694613,24.05515630256536,29.66722086639141,28.30084699477696,32.45150488752798,31.38567085752788,31.81681777311941,31.78099613600898,32.3571552971649,33.19446859347177,31.765267086349944,27.590747931141838,26.89627640899866,26.36200735563608,29.393022417520015,26.561459053261654,31.279369865532086,28.189782982453945,30.763743786384577,28.8956442338607,29.028609599059394,25.443414863570585,26.80632278976796,23.643446634208875,27.309051837640517,27.137128643943353,31.820729559763418,29.661039622414762,31.799164376092712,29.90139303862355,31.155157617794547,32.431553393098966,30.469862501997927,34.55025976563095,33.70514422421846,32.11510090977788,31.62768051742948,28.34387190373718,24.498937610028992,22.012261050372807,18.588817703957133,15.793707517808516,12.952598580643254,12.393005471760723,9.980880242180287,11.167912106819054,13.147960598305476,10.597377081322168,11.578269686589042,9.488131036247072,12.561254005436705,16.11512980987809,17.707854205962306,23.29784805926211,23.3019576194212,26.63369910097504,28.63643002274253,29.615969618275205,33.41181030576941,31.26963279284556,31.57093734172029,27.088145420189196,23.445361019737014,23.987134667200806,19.096434673930347,15.40985145639768,15.379580453957926,12.244763203165206,13.983918034129875,13.523825849201186,14.440476159450307,17.28943888052511,17.878961281358333,16.614085200254745,19.307984659928145,22.14530799022347,22.49989402293142,26.912709990987675,27.668759555998086,32.58091534311205,34.151733533427425,32.14919866481741,30.89603324431264,26.99520974625966,28.401329425385725,25.348986290973755,26.387890314569855,22.727572765232804,21.944535886857107,18.950487648933642,22.497781498734156,23.13212498661028,20.45072490531981,24.75244332366664,25.279196953237644,25.66403589581403,21.935837629965025,23.499154391522147,20.641240239126883,23.639131142610395,25.35463235924238,26.185350077170146,28.921933570591623,26.534522529253355,31.88515969343798,29.527789544558132,31.840999994702006,29.19986423527608,29.119553582980124,32.04860496884969,33.19887373467571,29.587919945474187,29.18283218702891,26.140525575102668,29.56481359763303,25.447398428314894,29.36065066367256,30.84400271169912,30.124853067997194,31.407783860751557,31.273886328288842,33.38458086839216,35.52928648410586,32.58224969310353,35.705277961852445,35.59540645327969,34.8119162196869,39.22664480715269,38.297878627716976,34.398045448717816,36.69212116061983,40.23914498681397,36.93701031222283,34.28867734720109,39.14196424624875,41.456826586664214,36.598642514795905,38.176398772399445,41.74120783150319,39.43853474180193,37.01220756077241,41.11035101042708,40.133324702443474,45.27844093961565,43.58883366308366,43.373710059942084,47.0566379433352,50.246169523248035,53.87202248928748,54.65309806433415,55.42354120598898,52.180143110416694,53.26749722970255,49.60729954411387,52.65251286927287,52.79730206648905,46.511415565030845,47.55844078733837,50.7915349663907,47.383037477878965,44.096286271923205,45.43420658770631,46.60063292028089,43.30663901939204,39.24786357550665,39.257565793790235,39.67547582053789,43.28076850813108,44.506835582868995,45.683850618412514,49.381943868668856,45.50339848837947,42.519021050509544,46.52487513348925,46.2208724484157,41.2846237441925,42.14807419740981,45.012786856443086,43.236105246722154,41.24619690215518,46.18659262503596,46.94605811948065,43.29957513130538,45.24958788471502,48.99974420601294,47.520789421290374,49.1546851004745,46.723445614469014,50.06450632040344,50.17663693574365,44.43619194713652,46.23570482896024,48.5857790838868,46.11631386009812,42.88636673162336,48.21671860231068,48.29980948283927,42.89258632801289,43.10652464561327,48.24799892405532,47.348064356185944,43.37017682331074,39.58709369410148,43.12097649951947,39.92523131918267,42.31485136612979,37.18421676562685,36.848104189678445,33.654334579795965,32.62589734032927,32.59834294131627,34.45344482660036,33.21046632168075,35.37340975688021,30.564506999386495,31.58389071298941,27.16714055863951,30.20763545778597,32.85132755642141,36.30547002776988,34.79782080666377,30.832586151809274,34.32198777992789,36.135917912823,30.8153459618289,31.175438657023317,35.986120626512616,37.64012398228859,38.64344038862981,40.0494787909633,40.685373013518785]],"stdvs":[[0.6314171186916698,0.6258099702731151,0.7646156838465576,0.5622401990644776,0.5798564012999479,0.6076071753323778,0.5189841041668669,0.4942765933932308,0.5569730140102128,0.5436018636062517,0.5561684256467706,0.5979908454195929,0.5719021754600397,0.5848655515037955,0.5980685989359997,0.5944956417011894,0.5808939476459046,0.5813411836492773,0.6014385439702249,0.6121607234704226,0.6737864547079333,0.7148881509551478,0.9553116501038715,1.0788402112302733,1.177726062065313,0.6626792887801263,0.5907619767876222,0.5572484607690843,0.5716857849772238,0.5201863161611664,0.5966395372724121,0.5379548878802697,0.5562956838018293,0.5696926230303418,0.5599990690642199,0.5640074209874735,0.5578167508840856,0.5659475251753298,0.5376258740662853,0.6016351191009205,0.5895563527673193,0.582665058147781,0.6289096496943479,0.931121993211751,1.0367091631419298,1.2653193270122014,1.6416032545301218,1.116043201112294,1.1414126669169353,1.3367092139275787,1.4953473297365503,1.7428698926608248,1.8559453388471898,1.0338673666404308,1.728809083641383,1.1620807419112495,1.0956079244521595,1.3855966909392001,1.3059285314471138,1.2608953192848598,1.0107065651622713,0.9075869893608318,0.6612124555413808,0.7536742664279764,0.7548373792643126,0.6154431140116289,0.6818335089190449,0.5972534970776749,0.7082230302061402,0.6990118839583189,0.8239696854322036,1.0492493521960913,0.6773489992004844,0.8476875046044099,0.6321300817938863,0.8354065260742919,0.642730436017054,0.5969250440313076,0.6220546771193853,0.6564540109004092,0.789997818514994,1.8791372661541852,1.3254601460142195,1.035164004866389,0.6492976726492652,0.5816309437805858,0.5494255478937999,0.6690166509576931,0.5995105469535367,0.6230433891042864,0.6183442894575518,0.7638000998028035,0.7118244027738175,0.614123325669584,0.5883802311787872,0.6578855696734573,0.7337256395561276,0.5611969102087587,0.5354089531974026,0.5191818376451531,0.5011567402989187,0.5533680437543227,0.5309246077585665,0.5452354396418215,0.4560577021812948,0.5995386972194419,0.6344276300750098,0.564874641107464,0.4767561006445283,0.49610424811747106,0.42627463259731013,0.43641191459967243,0.451744152704767,0.45634866558880643,0.5559350461938114,0.5732250417774196,0.5657878738478953,0.53381673468668,0.628571264807161,0.5920684840699292,0.5872848960517871,0.5722051568382508,0.5713625437245096,0.5845965297791911,0.5631154195575988,0.5437411966456496,0.559570470290561,0.47120961324800675,0.5025472702598058,0.4116202723282149,0.4900174029013571,0.4410151685827093,0.4309369841495836,0.3703988024730957,0.3491869278593021,0.3761090362925957,0.6200650407793389,0.4019518993379662,0.3863695838996537,0.4618811269018299,0.46491480638061516,0.911781646445887,0.6186171196307274,0.5617382418960802,0.5180362507966856,0.5101775076991614,0.5296158749611899,0.515265099587071,0.467123167714664,0.5079168251843856,0.4694344412029212,0.4999006865266264,0.6181803510515415,0.7636279068327704,0.7160615467257935,0.48337359521658785,0.5020718913956435,0.4634876295104965,0.5047951104968883,0.5143547798105648,0.4853321578243004,0.4865691321774332,0.4892235881022908,0.5330358950220693,0.6802872283688257,0.6442725076660483,0.7903066530960562,1.2164657070719576,0.813925597391097,0.5536808295535023,0.4139760933279468,0.3928487909993739,0.43111158669499966,0.4297230069820138,0.450341017378409,0.45645117568583954,0.5115873304569555,0.564043872666747,0.556066289623106,0.4951160866109788,0.8113169098711683,0.46400688941071927,0.5250378908433895,0.6662382085547164,0.5829389363238366,0.6793851747097592,0.7169617491162777,1.1617033619898314,1.7097034068549095,1.442459859907122,1.4196752266491781,1.478670585552505,1.1030477808773533,0.8682828701063918,0.6767827256973333,0.8057574341815065,0.7426911866744763,0.7399876779283843,0.6805317773966588,0.7106302608824657,0.6304981251113396,0.5993414040009074,0.5453905996971891,0.5996142205821205,0.5809768794563143,0.5901670833043009,0.7105674289605074,0.6792591241208848,0.5993690830076139,0.7059826952808569,0.797553808724479,0.7574074245256713,0.7563880390026693,0.8990929355271409,0.9899511900012804,1.2147311652292416,0.9743304298178248,0.9343766314291028,0.7971691623962064,0.7952161310798944,0.8421577086437878,1.5506528630238847,1.1650035124812868,0.993719703987647,0.775100322666097,0.7274233388704829,0.7670895466469606,0.9412342222489524,0.7822007891960879,0.7979242374805241,0.8656864201251139,1.037211790455321,0.8295742857037225,0.7731983685550171,1.2034268960996832,1.0151047506077588,0.9562256455316702,1.0239692225125492,0.7300523519089973,0.9414583333191754,0.8213765923820296,0.7531337996404399,0.9483852223319352,0.8704087239422814,0.9443566008911589,0.8674918568168524,0.8786755979093818,0.8678517732425485,0.7631644314205117,0.5916008989647871,0.5945736002228604,0.6484743200011374,0.5711093427070296,0.585981773465089,0.6130715412979586,0.8222233588276405,0.6589333010597412,0.6420675131207072,0.655054277902937,0.6041979838582935,0.598998195337285,0.695790353712823,0.6566333146032463,0.6358173846375597,0.6674493782602451,0.7105182387289066,0.730005565696141,0.7129902462089661,0.789671333839919,0.918284563542249,0.822067510292965,0.8394625014636635,1.0337548741521414,1.1477274317697033,1.0853566569543385,1.0476346170870927,1.614694068628002,1.7345576859874579,1.2172105025789506,1.0652736739322644,0.925617985419558,0.9505475154609035,1.2931208423247786,1.056408322007995,1.0203236895714753,0.9498807060270339,0.7667764919708169,0.636981557361657,0.5626737761895971,0.508338446436044,0.5522153467223232,0.47912209455498883,0.48164172322248006,0.7405126560719392,0.5410390430950474,0.5018555005459994,0.5190622613065671,0.8381581789332944,0.5588386058925907,0.8586178363476186,1.0474975445278776,2.2645431802582605,3.1887634679146557,4.27564383090932],[0.7122746755698002,0.7144610808932081,0.89480499952855,0.6330505736556682,0.7277833227412147,0.6921904227128319,0.5731740414953458,0.6115346061310707,0.5528709706682149,0.4495574762439628,0.433060367129957,0.5322347765763462,0.4560680202717333,0.40865695927493545,0.4104975535149806,0.43199700800944024,0.4143833392317525,0.3929472824818693,0.4876278565575799,0.4542849668977408,0.5603609827362416,0.6130215701859271,0.9047228056263065,1.0048570190811703,1.1568556750819077,0.6090771671878378,0.42959947371081264,0.3433876521293468,0.37229097457052435,0.35907543124097824,0.41454387002100457,0.3928723260304458,0.4072146991056969,0.3990073923596153,0.40178178975467876,0.3850133620514037,0.4197473552378675,0.3891069373006546,0.36355308476415316,0.464885870369597,0.4626111406391221,0.45263416842596266,0.5083575645327478,0.8734500170942716,1.0358070902460923,1.300396684605591,1.6791671857884019,1.1003988356221317,1.108856908296167,1.3440706451298776,1.4878672117525817,1.7779160023253753,1.7977949505685749,0.8997511150112666,1.6205690466607576,1.072806323020847,0.9473821791101185,1.2145545561721667,1.1790911314900228,1.128743879532083,0.9194560052424215,0.8045989436925864,0.5076526841921225,0.6174293843041012,0.6144219726866881,0.484772076961319,0.6136258648455206,0.43798997731034606,0.5671148497004694,0.5909994108063944,0.7267295383819554,0.9871622056408256,0.5625548362065951,0.6905509667094776,0.510741362816482,0.7445420059517539,0.4719989302039737,0.40692565666579195,0.4484937105215375,0.528387040252198,0.6787882006527006,1.8586889503406485,1.3389932612208753,0.8429782655020671,0.5280887744873554,0.487396335004438,0.3942026393515909,0.5899826557249096,0.4023851241786197,0.462728367577794,0.43962396348857363,0.6325433043006645,0.5623363222471099,0.4315447455676982,0.4171649504161895,0.48660561427395727,0.5948771454040155,0.4539526786919434,0.42794727934774535,0.5163586499743533,0.4712252838643252,0.5982312566003253,0.5030717760321795,0.6192210014975936,0.5178423667199353,0.7097618862101179,0.6933707117084611,0.6771057184838261,0.6459338768624501,0.6410774687106071,0.5959128063774222,0.5350656775212072,0.5554730580926397,0.4494304042473063,0.4233556408149554,0.39855729029324155,0.3843873532240057,0.39248277602778714,0.46919515519667,0.3853224041792456,0.4193647839674327,0.44370360304786444,0.46504510277266603,0.41868293684392577,0.49810994842110623,0.5213031424168701,0.6774517358744593,0.6488038113679979,0.6725868669724744,0.5681436864330683,0.648031007087273,0.5854150610973957,0.49754948623069317,0.5008775449542053,0.48340037020254656,0.46060827668407245,0.6912226159827457,0.4272753257811796,0.2522996450866591,0.3071659828017778,0.3931806549329718,0.81884199827159,0.41736027293837613,0.3432017475145078,0.3506785705487882,0.336526779139413,0.3668488408944338,0.4242340617248328,0.47071139564528675,0.5384418844687733,0.5422203211688429,0.5762423418100305,0.7024455647810242,0.8847161442474086,0.7786298273701868,0.5324020790293321,0.4872354472421043,0.5144677061386477,0.46379716442961383,0.5322931818385118,0.44525797826585317,0.373553846839326,0.35011196055579796,0.4179534902370398,0.5782368022900118,0.6407274617406533,0.7903024280617256,1.2742356933546002,1.0046475953203653,0.8260481536841477,0.5268842219418499,0.3784869297820808,0.4046418915124053,0.38396949944499764,0.3883864544688692,0.4373024390554173,0.4618215085597161,0.47631321237115765,0.45405273972014903,0.452315677034618,0.7720407464074287,0.4898028874054094,0.5559736823975323,0.6809252319067853,0.5838632079089411,0.5959406362213638,0.612078187058354,1.1169274159412046,1.7289725558859548,1.4468845617560975,1.4085267006136,1.4213450839768496,1.1398845052696338,0.9187120243533814,0.6962018042737866,0.8058868452703815,0.7772085760950528,0.7953042360655076,0.7833494107697364,0.8808677292451538,0.7837344545797609,0.7867659349113257,0.7581645692685283,0.7813524793009261,0.774674914968526,0.7929006432452602,0.8521553284753571,0.8348764541743938,0.7958380990401379,0.865655687111382,0.9231513090006744,0.9028611435392973,0.9073131925659089,1.0039193692426915,1.089841828920694,1.252230950569094,1.0812640906009179,0.974494430283282,0.8960311285584,0.9168538983860955,0.9554745454224417,1.674104904723051,1.25351540767248,1.082387112304111,0.8695147254315497,0.8335451223175744,0.8879104199895874,1.0004011299398023,0.8513382804545445,0.8877331545747036,0.9685993258735104,1.0743754502668887,0.8882562790331341,0.8442406882320818,1.2031842954534586,0.9954926405733548,0.9843665322218371,1.0910981354307225,0.8093918460864116,0.9908590409838456,0.8942534480123568,0.8933478668912771,1.0311980671846632,0.9760913129536761,1.0372978774794592,0.999390678873801,1.0328236563478068,1.0024308017355459,0.925786441752058,0.7970474083310702,0.798303720335298,0.8467903879149352,0.7865678654974468,0.7755386082442508,0.8127609470772625,0.9779615787135697,0.8412783891924847,0.8337187463927459,0.8434995963379146,0.7928472882740035,0.7911660863356964,0.8312192154374495,0.8124551196832712,0.8085630710720416,0.8142411305827815,0.8216471602601071,0.8343678319419137,0.8137901106651239,0.8478840585575698,0.9415628755849805,0.8477751927395145,0.8715621019831181,1.0159095157720623,1.1299538348874743,1.058816126051954,1.015481347449332,1.5278740224908771,1.6416983676370485,1.1827527924352026,1.0737400211844719,0.9914703844297249,1.02763413219002,1.3093974928187573,1.065321552824865,0.9836186447224496,0.93556402950339,0.8387575809116244,0.7846846387438092,0.7501114935637303,0.7181063102932693,0.744690574277302,0.6921339490548719,0.6973730231022819,0.8646432911102069,0.7333269541741669,0.7172048770432929,0.6966356942518394,0.9334397681456568,0.6929662432893815,1.0069844124928318,1.0726588898175753,2.182716034490808,2.971230232924815,3.9844800637063558],[0.7968334989965753,0.838056095459842,1.0164616896153504,0.7525037960928468,0.8306283279586463,0.7752460898198111,0.6801486315705705,0.6720079993799598,0.6551531603716415,0.5388864948459595,0.5094548041458566,0.5742595928836824,0.4786926798721855,0.4448995769549308,0.456202677825169,0.44951144712892616,0.48100691277944224,0.45286894521979754,0.5466750959571026,0.5131999250537318,0.612042808153666,0.7804584146555543,0.9130412062398712,0.9761178394530914,1.1363723078002308,0.704092007579327,0.5337783908291984,0.4479271523151773,0.4282547141661094,0.36442803135291457,0.45796618529031374,0.3895889536186297,0.40636481628261856,0.41687458805438476,0.40495518952207255,0.4259635568311275,0.4281788285923377,0.487931276694319,0.5038111742400468,0.7150052091406456,0.7450009392228006,0.6401992734478653,0.7510232197500332,1.1769986498400458,1.3475477141141938,1.6024265898563954,2.0429179700205746,1.4200366758731646,1.3998744544001358,1.6842573630060311,1.8358758383802662,1.9523897289833687,2.2163115848832717,1.1946650653472721,1.8818583462217193,1.366066858332462,1.0606101136323882,1.1947660933586233,1.2668920935717793,1.1586223146816088,0.8161205531300354,0.7672866271614704,0.549921526024223,0.6798766585627816,0.7090935441132272,0.5588910696396022,0.6643486552397856,0.49451631036834187,0.6371384265769717,0.6491313361645207,0.7926651503656986,1.0555603973482615,0.6541419835776944,0.7798448580675243,0.5763352937102518,0.8484178255093333,0.5177956340905447,0.4806606800489198,0.5017018336706826,0.5507172640272903,0.521885698923281,2.224651630220244,1.7642235463321108,1.1052424241581944,0.6727725095819358,0.5009901681953629,0.48404273472873693,0.5438999019336728,0.4495438855131011,0.4634431462043648,0.473165700074895,0.6834672194184367,0.6139258461679126,0.4726179148363611,0.4661189660290674,0.5343026627481305,0.6549494796297459,0.4996529392165311,0.4714314593893536,0.54680959503111,0.47296071004188156,0.49668742822076284,0.43032428389804833,0.48756570155775364,0.4737139432695086,0.5528784964681455,0.5312978465033327,0.5645139389948888,0.5897364357926115,0.5941160936774739,0.601854455676206,0.4747392616383364,0.5385340773772614,0.4179701489134676,0.4508320423058551,0.4575156671813446,0.4651503036680063,0.5077433625888268,0.5913046315609615,0.47186698391418697,0.5136683622704077,0.5641601544117162,0.5777100655837552,0.46739473931743164,0.5246264587076745,0.4492277399099417,0.6938742315678719,0.5637297110695336,0.5786730936334287,0.5181147609941079,0.6158190269516172,0.572160232127133,0.6190965115081037,0.5435276447023164,0.5644367196646664,0.6704771737701134,0.6961480862845159,0.6450835707366859,0.36716051948951445,0.4786391808440501,0.7380218990896481,1.0510698068175046,0.6564597555420455,0.5202011312882836,0.557305625542066,0.4088939607704909,0.3799205310832805,0.3924580376955381,0.3984030750768937,0.5140193444457151,0.5376634521941235,0.6012650792126994,0.6585208463695729,0.9474343784806355,0.8273954217572642,0.5239753352984994,0.45806782539811336,0.4369949237597143,0.4253686640329328,0.4360428573215867,0.39763710030827243,0.41595795220865456,0.5192382279284984,0.6048084923645259,0.888353265936516,0.8782165003877327,1.1729780148646107,1.7386233985689712,1.4600294207247908,1.2382146922360115,0.8009348293502511,0.6564094553960188,0.6002836366052767,0.5198621832477547,0.43638040287638186,0.4397161120329348,0.4237579486356534,0.48327141352638064,0.45640851323201687,0.4760705176723113,0.9827880559018177,0.482355035424223,0.5851718310338928,0.7396977443868303,0.7358915825743173,0.8631206580511033,0.967969679967623,1.446396235234693,2.028129275498359,1.9063291975117427,1.6560283221941459,1.341711837653193,1.3571791508965025,1.1185142274129936,0.8578585121041883,0.8845918655232617,0.7902185586169361,0.7667524444162251,0.7745724700906653,0.9081139233902051,0.7805658110674222,0.7926529927890075,0.7996800524727353,0.8160593349080415,0.8317155606907279,0.8720274741106135,0.9295118444863976,0.9179796324903275,0.9130212170017105,1.0056408669129875,1.038277067695347,1.030783908209244,1.06822158266164,1.175848919734307,1.2486821010684914,1.341806674650692,1.2026220314408564,1.0597629257274983,0.9683743262377622,0.9755967839365574,0.9545265306370675,1.4906485707342954,1.140506373902529,1.2829361282974774,0.9210139136330733,0.8297503892104378,0.8565237151592741,0.9497654061559121,0.8730842851655396,0.8395310952157584,0.9550516664168125,1.0429845040193555,0.9072034736387816,0.8315137944621358,1.096242659306187,1.0112654074962908,0.9732971308120028,1.0492528945941104,0.7813369834148798,0.981873534643727,0.8478038139195945,0.8605088851036985,0.9737313654661257,0.9304154989114868,0.9310027436615017,0.9265021910291742,1.0240795071934516,1.0153284866289125,0.9627564967636554,0.8632955428627617,0.8928766948538667,0.9716054217505995,0.9451836007419386,0.9216483100095467,0.9979927401509866,1.1620999102324119,0.9990305201885,0.9873482393131864,0.9597797172017587,0.8609934554861173,0.8423529875743766,0.8709276955998962,0.8793469604169593,0.8778930412687422,0.8391506611461838,0.8508079278683159,0.8866301995154341,0.8333063628380661,0.8252577344119973,0.9825310464375697,0.8685203057698028,0.8368674923308772,0.989083230063784,1.1225548902416225,1.0481948281677018,0.9949739326874475,1.5001892787998452,1.5732325419078497,1.2221254791585918,1.164109368836026,1.0824351604584717,1.1378754259838395,1.4210613937849748,1.0968187764574775,0.9593535574761581,0.9201720487650407,0.848546400072252,0.8349223335424789,0.7810068464257592,0.709948794510514,0.7931444924401434,0.7446176389207269,0.7629324935015275,0.9853009809305037,0.9374868008750487,0.8565512370792485,0.9094093296632308,1.193710019742767,0.8308508286275009,1.1104398863626141,1.1171355021037384,2.24769891240685,2.892603267537798,3.7764000518178387],[0.5315653752193353,0.5261511673952509,0.6344048236346455,0.45415755451267936,0.43464988978122276,0.46605378587704377,0.36067916490647256,0.4115122086921506,0.3998395716644616,0.36434753317524093,0.3627572497509224,0.47140927705990227,0.38500395270184745,0.37079041977898347,0.37883675609181555,0.3802598598219387,0.4192241235327118,0.3919756328059385,0.4677043247822169,0.417057220831427,0.48433555836282244,0.5729267779138155,0.7718797644468128,0.8586789956838241,1.0634346875588743,0.5454658779170495,0.3735236810911073,0.3453101338485303,0.37595851445433565,0.339168488825091,0.37989132957508537,0.36714704315298763,0.3977951532045763,0.39055207755433285,0.3770687085024334,0.36112390463826316,0.40830849481191234,0.38988905547266944,0.3579811948606097,0.41673143964638365,0.4097039241607857,0.3914381479831596,0.3905626139212571,0.7460417443377548,0.8903261265809834,1.193888456785734,1.4624102812321582,0.8920872843705069,0.9463633655090544,1.1477278451964625,1.3247395478118036,1.9158548412228937,1.6793677214704514,0.7015043330518538,1.476026381328646,1.0594069855840582,0.7318939803209515,0.8760652519077593,1.0664588664699601,0.8834975983108662,0.774656762257846,0.7282365848683524,0.43367923540483094,0.5083358993436407,0.5024355324823903,0.4403042729210835,0.5722739566192675,0.4198975219221225,0.5499037601456563,0.5609113142649921,0.7696940702648769,0.9718674556293809,0.6042736934797819,0.6162242263826588,0.5159677715029869,0.7883920236067445,0.41528749344781796,0.39037841295318415,0.4071603202517206,0.4760700637139658,0.49800068585823515,2.0953077005785756,1.7909411627902916,0.7171085555272326,0.49012870046252044,0.4826709971710821,0.39370589811829215,0.5385507883349042,0.38416116000976047,0.45148678901045797,0.4242941372648305,0.6358976635963293,0.5176255370683317,0.37611113499759274,0.37947963333482715,0.4337129115026798,0.5179566135831034,0.42911046974044265,0.38985904024882945,0.45077093355251474,0.41468177815006835,0.4371629320231176,0.37412649338919013,0.3990456582302668,0.44278071368019645,0.4638290153919241,0.45198168406111067,0.4870679474320911,0.42823808544198827,0.5093489699487062,0.3542831174296129,0.3533366387940034,0.33679849501669523,0.3188126092611942,0.37822341020534134,0.37732910486561383,0.43725469238455095,0.3464187605209987,0.42740578074352104,0.38564375615466234,0.41973542099469136,0.4801535900394775,0.47908441291683895,0.3678688561204624,0.3550061503046446,0.28672701638697057,0.47182947498379074,0.3449703106692845,0.3634781774414909,0.42894352983722595,0.4648473947926359,0.46896584365676264,0.4312113790828279,0.4402434555877156,0.40956211256303854,0.5721296842678602,0.6020221064825513,0.44719853691475875,0.29046936027649206,0.27547490626055277,0.3431088903503176,0.5729254863498974,0.3014599982768915,0.3022476330869466,0.34931739736916173,0.3530137056733304,0.3699401070420788,0.3649892288195466,0.320146117955087,0.3532558643103543,0.3859461330612255,0.4039408379929391,0.5057414700201516,0.7994779421246627,0.695961700412939,0.4088962860968109,0.370601799645542,0.32923044249391414,0.3646308492620892,0.37998768093760277,0.34475926678480145,0.36465136187566755,0.3718078476427424,0.3965037471579401,0.4989086733826031,0.5174356565115426,0.6353913843364151,0.9979938913261449,0.9182910857667208,0.9433139070534045,0.5214910672139305,0.42338831239045666,0.4152097534410833,0.4021036995248304,0.35450754907563947,0.3856889754023658,0.4117520088386125,0.49958925535572113,0.4032838965208555,0.39793417958148875,0.8130933886638414,0.4072103214542122,0.44644843266629874,0.5638634878788418,0.5445648818757474,0.5567277823142491,0.5553332964965761,0.9982060708913592,1.663901566580208,1.3293592197475175,1.224240580241553,1.1368566020615793,0.9628372441890563,0.8119748075424631,0.577312770416905,0.5959642555652511,0.602813529545028,0.5211482932329934,0.46697866048756403,0.660913927740863,0.43979820771342976,0.4205948853793001,0.3947740367851123,0.3407735263197498,0.33322049598220876,0.3713789177917085,0.4454642669558838,0.4129365742698168,0.3946587537606175,0.5179226988260796,0.5934252768395147,0.5539237507126058,0.5982240747189387,0.7506458978941681,0.8377921949550952,1.0473881619739942,0.7929182685452972,0.6346264158780112,0.5161867802399766,0.5357824899325209,0.5208196288527487,1.5494137577931166,0.8635835102088032,1.0738210891999516,0.6504700529732941,0.5427487994306827,0.5677929201046166,0.6532544376893932,0.5544876950443804,0.5265053306889399,0.6747877514585804,0.7977412236825403,0.6901516656652806,0.5583825772934333,0.9418795849409899,0.7151397532643686,0.6620901191468406,0.9305293349220704,0.46657336574653835,0.7007797325778001,0.5921063023584624,0.5758959704153799,0.7424943440283263,0.646682425663475,0.7056492318516402,0.633194456005349,0.6381777205288308,0.6520730483754845,0.5968982062620021,0.4132899625952996,0.45339434646526344,0.581849235476259,0.44982241162521713,0.43180104886532544,0.5368766188749257,0.7494675008616296,0.5219440430706057,0.4934139101845882,0.4678922508519505,0.3941407672882554,0.39182353968092065,0.4343463076794522,0.4024257760313273,0.3733372084672662,0.4047978741767484,0.4245549276285277,0.4718621754271679,0.423265185062866,0.4905287557282852,0.6310464433876158,0.5305550224255843,0.5321155856266241,0.6670752155749229,0.8635005115045814,0.7924893218107157,0.7433261812119826,1.224414852172946,1.4233426546767072,0.8614506475352249,0.7525532773447192,0.6581868540607225,0.7511302817515615,1.074767331900567,0.7311849964651846,0.6152893327714434,0.6202303854509069,0.448886256799237,0.3648694357304793,0.3736566508689519,0.20801840866917867,0.30464834739295193,0.3765352821994438,0.3431751310434083,0.7637504119076927,0.5463854953435988,0.3716858198555105,0.48276876200750196,0.8718692944596308,0.43957067120847887,0.8142304813341449,0.8727020849955929,2.088712559908468,2.8843780366173015,3.784474970961495],[0.5956730897026965,0.5789944444234169,0.6589957700483351,0.47243523843978125,0.4302030620927292,0.46589430541066906,0.38978164729999315,0.41118708722852404,0.4266892465918984,0.38065217267570234,0.3754047298393498,0.4711159114604855,0.40132062755927495,0.3783655694219042,0.40469594083282984,0.42655223415333093,0.5041014473072034,0.4879777473345554,0.5438136472307654,0.5655968274953659,0.6025813936192127,0.6211025201482936,0.8772211201252219,0.9245376244794687,1.1949779376142255,0.7139167544795764,0.4981717646891407,0.44867645850617216,0.46599883361287886,0.42416987061185185,0.4524902384663266,0.40789264653030644,0.42564601232458926,0.44791892061403604,0.4466040703477177,0.46861845453205947,0.42858763206588363,0.4492417567693,0.43645870628181843,0.47175732526715497,0.5029258315431673,0.481390619154162,0.5040985426111203,0.8031629448507407,0.9699455834813968,1.254101866860648,1.5805843018739563,0.9659428284800874,1.000094481754753,1.2229982535141004,1.3212026774344592,1.907623715927545,1.7268597890208406,0.7469567317002523,1.487363574692533,1.042415676518901,0.7971432408759814,0.9246867154353979,1.0988058814477375,0.9707977930547343,0.9373636259756157,0.8512582743311167,0.5525575825771377,0.6589070680578478,0.6319220923933433,0.582558943003446,0.6828659799799048,0.5509975161221428,0.6937546923863221,0.6811326469917427,0.8466557835510161,1.0413802404451509,0.7320004154318444,0.7821666690909413,0.6074717112535154,0.9698752578745399,0.5450991621274109,0.47804338721360756,0.501512147807067,0.5600205254556482,0.558668072408037,1.9754737202750818,1.7477285914510434,0.6182217868390881,0.5683197876553308,0.5756001543147261,0.47401401628519124,0.5570543665825367,0.4846224453178719,0.515536479348656,0.5171811017831384,0.7065742959263759,0.5729437835290807,0.42386610185656426,0.4277481791996112,0.46880928792249493,0.5382412216630241,0.46023405003297385,0.41737556724868746,0.5166465839373825,0.43062664340363077,0.4390280454399437,0.3918729233675506,0.47420106764606645,0.5074636356414207,0.5174981523260976,0.539589164726177,0.5067188635750705,0.49855390973418623,0.5933666641505349,0.4355848080780263,0.3954992157345724,0.3731326913546213,0.3864223575137217,0.423264243991042,0.4643814375700386,0.502774817886549,0.4611504291688851,0.5831767556626984,0.5004352955169057,0.5415508841368444,0.5551572362608941,0.5494570505955896,0.43708230690570565,0.3429740469655606,0.40440465991475016,0.4166721264948187,0.40909199770050153,0.44998593063753733,0.5002139948077502,0.5693616154755361,0.5760030412288384,0.5182811794556845,0.5215173284401381,0.5044871748307665,0.6014890389958051,0.756779490857026,0.5561386342437333,0.34690471437211406,0.40213476968458306,0.5041592020340098,0.6391425190327664,0.4411951660654177,0.40965378990216494,0.4440657896187005,0.4371029964452141,0.4419835069494706,0.4497294247948494,0.3708033923461444,0.40062528290275945,0.4244766745527707,0.42045206693553555,0.5335076019525304,0.9849576089339408,0.8127212206488706,0.411698275702568,0.36059756076446514,0.37979667784930127,0.38748905955666624,0.4300768924329211,0.39169889891833065,0.43672974323015085,0.445158593682095,0.4633421334807309,0.5717184195479973,0.5551636659310774,0.7654946775693361,1.2152338074797593,1.1012867325526337,1.0454687423723712,0.6336369149387202,0.5326009812390871,0.5028732813841199,0.4539594209484169,0.4092914092545054,0.40954437065415944,0.4434837213777675,0.5341901063376959,0.43728241586807004,0.45250984594923566,0.8241354837804032,0.4550451156936533,0.5126585776428166,0.6207416907352952,0.5695741784842197,0.5921221604673299,0.6181768717882253,1.0526766725451848,1.7226335038936342,1.434389867838934,1.294968066671348,1.180255103433031,1.0408162993726329,0.8872272020810045,0.6602919246789155,0.6941579031330745,0.685068326609763,0.6100559651862457,0.6052970268606983,0.7377724736752002,0.5357518933192946,0.5062792495561296,0.5138653567518252,0.49005045001718617,0.4688946586120478,0.48548467084006414,0.556758073895024,0.5373432255200065,0.5269141660173486,0.5875051882163808,0.6622848868555171,0.6540983109597441,0.6951443545777337,0.8279951392989651,0.9384539225089608,1.077995201544423,0.9102919261782197,0.7105669378710715,0.6085023608489739,0.6641144861638711,0.6955807930272622,1.642486951549353,0.9570459481791049,1.1638690873443278,0.7358822506458641,0.6583227427379724,0.6530528075613928,0.6873527330394074,0.6789784313092841,0.6191790425429556,0.734662425425576,0.8614470795609225,0.8577462355977239,0.6861941021075629,0.9239147155155797,0.9226628844901671,0.851176824061973,1.080713378849393,0.6262659712218588,0.7158605490175409,0.6496072207008038,0.6159854886611952,0.7241668820582268,0.6653728880007523,0.7051985520877717,0.6186277042770427,0.6255655329998473,0.6686827277988454,0.6307485805205595,0.5170413888817047,0.5329920429377559,0.6358379168051644,0.538577911478742,0.5473726079154111,0.6339603061784929,0.8094234156533378,0.6489933576935659,0.6422099762270493,0.6077938841103124,0.5412111865827566,0.5182184193714459,0.527897851777334,0.5579307454723136,0.5247406301799483,0.5309687217392758,0.5539820902567916,0.5902178670757604,0.5369962864012536,0.6072834949569222,0.7630781221883357,0.6124994158903326,0.6857090275620128,0.727582883769716,0.9307893583598915,0.8216050978762325,0.745328523041546,1.1047261310743832,1.2975849153210288,0.8981672943935002,0.7864691951634407,0.7133577015374445,0.7695013290262264,1.0642459862173874,0.6645061344746396,0.6292684743138224,0.6732581635402706,0.5915931145580647,0.5415048861683006,0.5404030630215889,0.4312634175528895,0.4435178262759952,0.4993408917854903,0.47373480685142283,0.8959018093023899,0.6457347438206268,0.47926690344657064,0.5714459818409613,0.9308683671899979,0.4749416488424705,0.8747968532109397,0.7937658213938881,1.970051099069745,2.619290137281852,3.3461239269999177],[0.45615267774895196,0.45425935509802723,0.5853846391560709,0.3862212477413539,0.4741660249576514,0.4044035722054726,0.325683706933573,0.3470446249202445,0.3782359021221544,0.34383040067410425,0.3257728019439152,0.41914349182713545,0.3912226534056459,0.33427489520653036,0.38246621136804976,0.39401985846060067,0.44556813209060836,0.42373498551477806,0.45895362817817736,0.4525412211157064,0.4836742132533795,0.5800581256253013,0.7610283221655079,0.7446247558869402,1.006011635783427,0.5780286325220567,0.3811840061158712,0.34705441970717554,0.38397078545348157,0.36374843220778613,0.4392882437998007,0.35726972683096925,0.3930461906659292,0.41068040597160343,0.39144564365873397,0.4058490377541164,0.4014301885824694,0.367060754896373,0.345233740103632,0.38409353837935234,0.3829191295775279,0.3868313721326316,0.38127753335825637,0.7465172621482857,0.9479118800873121,1.2816599791267098,1.5659791783819237,0.9123426928138074,0.9874965207037313,1.161571077708731,1.201053129837384,2.06027708647494,1.9027576984948351,0.7675572295136087,1.3694811832931937,1.0062005090911337,0.726244993107918,0.7929098246242474,1.021090294164835,0.8167323422005089,0.8018574299724313,0.7001753641626262,0.45948292388113976,0.593366118397931,0.5474137058623821,0.46690948440856883,0.6265836286519785,0.4638767442942088,0.5934261295964606,0.6277589829591179,0.7680338096937661,0.9738170241268226,0.6643034885491953,0.723275062495699,0.5430924934829735,0.8860853901109956,0.4477721578132172,0.4341777773038306,0.41653778312465495,0.4742594056213034,0.45209500087990745,2.068759329772179,1.818848269627979,0.5910598759056781,0.5147024121561038,0.46629251372203384,0.3873284382629948,0.495132602664032,0.4149137048141415,0.46101462736736604,0.44733566427153004,0.6766979728508629,0.5687310116928757,0.40773974797357404,0.4089813855265506,0.48377459375553244,0.5637009573281099,0.4611485862538596,0.41038128757690034,0.4573586601192405,0.4205250650751191,0.4464917620112305,0.3901497184529736,0.41470037478748495,0.4773698200077605,0.48149319463838564,0.4632108122485202,0.4817313343503371,0.45637139298505913,0.5953474148905639,0.37971043128898246,0.364024937685782,0.30419154820271865,0.30168532551202737,0.37318359851446836,0.36718427828394146,0.411313131082059,0.3695947923584129,0.45073367102742007,0.39266081696003685,0.4208367289780196,0.4502164155886403,0.42145397310509664,0.3081358369067999,0.25476350535611536,0.24994252764672534,0.30781597194444354,0.3704407740340146,0.43832380450975683,0.49868524725059554,0.5283780754428917,0.5219299049552434,0.46472570124260965,0.4956960085896242,0.4630136266487488,0.5567759070055577,0.6463782831024069,0.4748235159731082,0.427462589157088,0.4033698040293404,0.5978851340306359,0.6011999431004369,0.3933364864244685,0.34607315985658094,0.3455860335464071,0.34766054474899133,0.3317849947990116,0.3689642768937485,0.309587954643393,0.36074287502518754,0.39493306744183804,0.42193658009980717,0.5054168482778446,0.9754957920321002,0.8491306903028638,0.3924282450796748,0.35662763221345567,0.3230233399534816,0.3574805345297012,0.35998193055439126,0.38287449535930357,0.34579750646084806,0.3393214442784978,0.37603259105425463,0.4739344036018455,0.5289570168987444,0.681151342630724,1.171223401473939,0.9788767005219239,0.9324356461827078,0.515911051104368,0.465724320950523,0.4330930116488096,0.4325460006672131,0.3591911607780386,0.3831177936854511,0.4027134311619547,0.521648403149657,0.4124256294219792,0.41501241794552424,0.8568045630844655,0.43084561420297024,0.47158494685833274,0.5238179393436105,0.5090213047699167,0.5183261410560954,0.5736989565183683,0.9379528137720692,1.6692654288917352,1.2591303739780875,1.2498487921169232,1.3082069402679397,0.9751269480390049,0.828020887711983,0.6012978433006102,0.6226744935751531,0.6414087021496202,0.5877325352053318,0.5762182428490256,0.7052155414744617,0.5378471079593461,0.515763183099904,0.5059846810740751,0.5023450460037648,0.47743065730622675,0.4774829403496699,0.5605288010364836,0.5150187439150593,0.5008324511911739,0.5556751327556206,0.6036618652323966,0.5897560937771709,0.6314209688338411,0.7442434930358177,0.8460760996148258,1.0056450928970726,0.8568049330398455,0.6561496605850236,0.5882180925498275,0.6027270033273772,0.6395236041821613,1.7265719274676072,0.9711784413761644,1.1444433609631393,0.7025872143392167,0.6401826195224583,0.6796016231278378,0.7620503474742019,0.6438832136890554,0.6215457702310216,0.7401299669685009,0.832805587490396,0.7562217793480768,0.6337878157703747,0.9772897343742764,0.8001080836512127,0.8013580500614932,1.040859677577225,0.5957224577594377,0.7275438523536469,0.6781498863242112,0.691521963010828,0.8347598236992256,0.7676120495441504,0.8112738297908771,0.7340270553907562,0.6848508163639606,0.7869158698115978,0.6908249161748607,0.5365032058577663,0.5690827833459438,0.6534141046894845,0.5273836010000247,0.533666190902157,0.625786529826344,0.7774703836519052,0.5808528263320022,0.5672461355636222,0.5556848288497722,0.509063059692465,0.5014317472641444,0.5466680923212688,0.5178656514623959,0.49789207930505175,0.5394000948751206,0.532839430764028,0.5433184709528383,0.53688846123202,0.5982303328916825,0.6895899106779759,0.5841525814746695,0.6484368365293979,0.7164060672155436,0.9077081226745665,0.8372085151749614,0.7382183788391113,1.153114664917879,1.3346716654975734,0.8316651721681207,0.714055050300697,0.6483364030733539,0.6677844517904094,0.9847252769114732,0.6465591750785609,0.6116835047579923,0.6767412421548894,0.5953064653091213,0.5473389818979543,0.5071303988514223,0.45842487730918974,0.4490687501324317,0.47942060877177234,0.5114315569037691,1.0095217870622883,0.6084456213124506,0.486802374707694,0.6517708971562385,0.9211554997961694,0.4609249954936157,0.767809607189058,1.0005340542053174,2.577782457598833,3.4141724138012313,4.383983148610652],[0.44188895148462853,0.4217510583827675,0.5039418266553566,0.3045876965747778,0.40319044357610934,0.36798127736196967,0.2778343516847095,0.2673978890120923,0.34080527456431925,0.2590763526154107,0.24467102498127724,0.36039579034810776,0.26975498005525367,0.2271259117406207,0.28626359154670367,0.28959243514768157,0.30703021252525026,0.278825062251887,0.32382798772661475,0.34802268097931893,0.3605913092268227,0.4792294780825938,0.6361836476050272,0.625930539931101,0.9120561588676442,0.49550003368922363,0.28553578021920917,0.2423275315527503,0.2563180916140727,0.2579606195268532,0.33522960975833577,0.2713115295529367,0.320426941635097,0.3282361772601367,0.29326969783105894,0.2893508098366861,0.2980879158891758,0.2882797968576176,0.24943067645507233,0.271919523137696,0.3069573100551323,0.329967547435033,0.3295657008681233,0.6893686385354303,0.8943043552392338,1.2409236535687185,1.4865583586943694,0.8307034014732932,0.9198493409146044,1.0911611700308645,1.0951272442606381,2.091576533071913,1.8804355822427903,0.7415857508399191,1.307976266524474,1.0338925284873814,0.7079082673033122,0.7457342970016932,1.059131883057861,0.7547758577280137,0.7331414017968305,0.6748027992823864,0.3879251159888523,0.5097093963504812,0.43056981422428425,0.399996054829569,0.5497193663074731,0.36149887620596305,0.5543402631967778,0.5432138654907918,0.746087694030634,0.9288868999366044,0.6198309642378971,0.6523587145655549,0.45844115040329697,0.908086596745038,0.3420073333834909,0.325992025724765,0.3074029676544362,0.37617630464939644,0.3331019087961917,2.0277602457444583,1.8833389134642409,0.43870485027724415,0.46211024129132033,0.4142804480365505,0.30090418343414943,0.40101230868539817,0.2978699311567464,0.3732848784729666,0.35698174941649896,0.6187538034137308,0.4833941846849128,0.31665930269142606,0.31587776794176337,0.41497349729682703,0.4655821355210317,0.3619695863357615,0.3242469370979921,0.4340720135039755,0.3181540851406808,0.3834579190202031,0.29415626751259705,0.3500066605936832,0.370694216067064,0.3976585457502699,0.4104668149829403,0.3727849605878442,0.37159273454607106,0.601392340311136,0.2882363997193344,0.25856931755866097,0.22760250950354532,0.21325868341175536,0.1862960242357898,0.20789637448448675,0.30067228364844056,0.2768714925281193,0.3640915494157947,0.27836088104008694,0.3065054714241931,0.29105541632390425,0.24675467373174556,0.15297917882335096,0.16590544548262326,0.22805029114429942,0.24550891480151074,0.27877037321940673,0.2831771919342405,0.36058997206760285,0.3887973841299732,0.39651299993132216,0.35011352199293694,0.42975683374097406,0.3721015235088338,0.47550380551869476,0.599122096214549,0.39154447517677693,0.45279520102943893,0.3910314807173005,0.6561857420010384,0.580625423646076,0.3644894944361545,0.3037691854899828,0.258594536386816,0.24958760179443817,0.22261919328779448,0.25383225007966376,0.1981170305620248,0.2743199525171513,0.3354317846693999,0.3835383980682477,0.5100457459727562,1.1060788396366856,0.8844002199048423,0.35015163541110683,0.26420902158909476,0.26247980477095956,0.2631111381035273,0.29630163239549256,0.2895430427994709,0.24300088954107718,0.2584967042379627,0.26345222677172875,0.4431659840018649,0.48802550758300145,0.6190017794270462,1.1138268782688578,0.9386881072889552,0.9224771793195773,0.4762423011840506,0.41460094544190806,0.3689308951077972,0.33569054421638006,0.24968519763294933,0.267152974027642,0.2935285365682965,0.47200954781804133,0.272320052682517,0.2988779612022518,0.7592454401031274,0.29914649073448063,0.3486373067668898,0.406895218605392,0.41305835659403634,0.43886506766835814,0.49149524275891254,0.8958916382443082,1.6066352450867527,1.187599032625245,1.2020629222465102,1.2480972044841363,0.8733163885558684,0.7415188247239112,0.5076800757069688,0.5241464097519439,0.5644337268770797,0.44017420688236475,0.4508981798954618,0.5773163887473096,0.398033117705561,0.40019227733765295,0.3773916505930511,0.3900996024754854,0.3890825318461568,0.42642671743839927,0.4792012848247777,0.4399259467226907,0.45804355847067635,0.5057950476120011,0.5450795474789376,0.5433019528321175,0.6129727691286165,0.7085216518202815,0.7814136973593973,0.9861209388969293,0.8607967232354689,0.6123271471232324,0.5156467661815424,0.5509325532434323,0.5665034123209925,1.8267484170500756,0.9457000182679547,1.1915240070078967,0.6406990019043167,0.5814073341470766,0.6081704397450496,0.6803380824903872,0.5567101969056732,0.4873169598440743,0.6633766680670209,0.741869491891675,0.7205710664094305,0.5432916112548903,0.8954373523153136,0.6758204989298745,0.6804263497453058,0.9364203295588823,0.47023525318443454,0.5832238995346232,0.5630769162286423,0.6097493729758169,0.7460501873852748,0.7319303913680822,0.7361852241238853,0.6538706624379592,0.6087664752455315,0.7606361103167941,0.6476141591778756,0.49385575771165857,0.5781261002344162,0.689713918427181,0.5277981526185752,0.5269993463713392,0.6792082599672961,0.7874895228079346,0.5723443493723025,0.5580786327852184,0.5085164532077033,0.46511671105144475,0.45207622681239223,0.4730161409996886,0.45708329092391187,0.41936312189693087,0.44126685966250945,0.4330170125584446,0.46148901208006565,0.4228341413381507,0.47213211630417257,0.5931357904842122,0.49205436993105056,0.5363734874367186,0.6048002133359743,0.8162846152065214,0.7420783054493971,0.6659370236864186,1.0222735396216465,1.2213833609429128,0.8049544462963522,0.6566306707137728,0.5817388447849874,0.5823264073198174,0.9138429167659133,0.5762577639691878,0.5715600963129017,0.6292157330091271,0.5098598693727576,0.447497557938764,0.37812209926473256,0.35039870927285255,0.3546865666785258,0.4116796085289503,0.5262525546094178,1.1578511451093922,0.5915659390719471,0.5020514040496024,0.738799135968103,0.9708564466295858,0.5031521734563615,0.7804564581946078,1.1599236683902918,2.875512583695938,3.7068255662379657,4.647107680879007],[0.4584719561371423,0.4412017527261317,0.5071887783424451,0.3285877303127417,0.4045712715376686,0.3703137155770041,0.30399448899827286,0.2703364545373022,0.3124509688205472,0.21684205343838375,0.21042328054702866,0.3051259575886361,0.2391584598001776,0.2417291259776626,0.32067310730136867,0.27225092560991887,0.38485052181202983,0.3781044415252124,0.4628041832608301,0.45305492518047036,0.5215130012845224,0.6542572459039104,0.705039707390502,0.7960111062974997,0.8597288604267195,0.5947456414444029,0.44039925754552295,0.4088690125931664,0.35311572405348374,0.33939461080420513,0.38016248150575843,0.29960305455424824,0.38897739694186506,0.3791239208176187,0.31920152762603027,0.34260907835487914,0.33278907336979324,0.429178735972047,0.40784058753268765,0.43756155384396206,0.526787304994204,0.5090480249341148,0.5189241630731138,0.8861998683625123,1.085358670629882,1.4116454886484584,1.6631953378285427,1.0249568250121899,1.0609164292580373,1.1926620507361096,1.179567580550526,2.2168609853411296,2.138974364291453,0.9336361033435866,1.2727202188488163,1.0946550299592934,0.8957900302401745,0.8545223782186895,1.0661584821554995,0.7812087284897263,0.74213608751903,0.6403255481579884,0.48748993601622836,0.6748397010032762,0.5405990322948335,0.47506761062781483,0.6614180733745919,0.44995926558795973,0.6652847484782991,0.5944188684930665,0.7564837086414266,0.9409821377759982,0.667983434980407,0.7557940739794882,0.5046224477871161,1.014012262519702,0.44131703292107305,0.4071969543799467,0.377000459662353,0.4061779811314815,0.37817404532687027,2.1012565546334656,1.9534359758175903,0.48513616704890267,0.5470021537081479,0.40858092371831056,0.3929902294921092,0.42324021112245597,0.3657520955635099,0.42667708222931594,0.41893836233793336,0.7055220419045019,0.5667516303759152,0.3943191264521687,0.3733392546479818,0.4914040636586857,0.5126255932912975,0.4039840284853818,0.3505793914636723,0.4576484888843812,0.33528768189640934,0.3909248758986492,0.32136496006274523,0.36429018947183767,0.3977133752040321,0.39402003519288753,0.4318196146140181,0.4105984844764976,0.4026989195444409,0.6280980280604438,0.3068062577675503,0.33529112921098214,0.29057347305313647,0.30545832784676485,0.276738627554043,0.3689627158754081,0.39792614145501837,0.48369229620410825,0.5279293029182379,0.4452597829664391,0.45927506278812347,0.3581704687450449,0.4646884234401606,0.30130063238461463,0.25089015904076245,0.29425426377633995,0.28674770693994495,0.3218516542904971,0.3244239463346009,0.42901214082681666,0.43913088379463716,0.4352539410882589,0.45927086338009215,0.49975199781405466,0.47766427324120103,0.5713142339682715,0.6111571198535953,0.48662921831811384,0.5098581158245578,0.5624971079269949,0.8257501293906035,0.758794707485753,0.5667557171589104,0.5220874239819945,0.48090434307169544,0.4263740186747905,0.39068998526054993,0.34433640099670404,0.2763894020139787,0.2987925449205387,0.34876324760218486,0.4288171114351787,0.537238439965371,1.2739787047243252,0.9919687766522417,0.3814908715690226,0.2885991842479849,0.28528926814294503,0.289086743311748,0.3256650124897477,0.39480724306044873,0.35159333499506934,0.4586606270750929,0.44562782465875933,0.5752433402214333,0.6422717646081411,0.7705187239719048,1.2966210227853618,1.0622850451914163,0.985458502107801,0.5801317034147886,0.5494698690931252,0.4953696165632647,0.4673775558367267,0.38117479870202303,0.36333987142330887,0.35318949312621606,0.5318748841290538,0.3953416959647161,0.3747074802045952,0.8304859461946137,0.37587306642029095,0.4465902077329201,0.5281101964867875,0.5465257777876834,0.618307304494964,0.6649355158890905,1.0422179283562556,1.6319225745554835,1.2772784336940683,1.2907938486097137,1.3106974686048185,0.97058799013432,0.8368313256704015,0.6135382825165555,0.6086172536858311,0.6188232919493534,0.47988920268167234,0.46729719520248414,0.5785649092588794,0.3988250736475908,0.39950346754527666,0.37849583245901364,0.3996153540519244,0.39762477141573194,0.43743268639743155,0.49209453513983836,0.46295274689222243,0.48588863702036694,0.5420467400904496,0.5856738576438417,0.598853805264733,0.6726454609532093,0.7614158451580928,0.8465035902299098,0.9747887832162663,0.9093032297849113,0.6564055258210659,0.549964087465583,0.5827691908603226,0.6046185543729715,1.8186321724652525,0.9688920206491354,1.2183862800208778,0.6456071050519553,0.5793005649942498,0.6038777991326022,0.6799969231384121,0.5628646244722121,0.48789501765978993,0.6533352306103927,0.7414579422765818,0.718793127662676,0.544839670360246,0.9110762335399052,0.7124937557424759,0.6979989297656799,0.9693464053421454,0.48419543484974675,0.6040202243479889,0.5755911446478554,0.6124689651493214,0.7561939167718464,0.7597821743196691,0.750161136305836,0.6642579126439572,0.629335616703527,0.7825324131254735,0.660141746209763,0.5076868614052429,0.6054802672163021,0.7173772580475982,0.5616278201441832,0.565373523191769,0.7392010739326546,0.8280169774556762,0.6246628240641685,0.6135808810730028,0.5516041664973259,0.49603397073278177,0.4730432950937547,0.4890105453485461,0.4799586593388799,0.438079792378775,0.45896662660083637,0.45144479217716,0.4815778834799656,0.43468700501982616,0.4872501960739354,0.6230775989795574,0.5083945245654999,0.5504916484313293,0.6251615029352185,0.8516357353050308,0.7655206683264474,0.6851574464264948,1.067042949787807,1.2127802224269517,0.8620746285358443,0.7087524430878821,0.6191262561514146,0.6099950735316936,0.9240411566586658,0.5952762558912308,0.6006352548800159,0.646187206120868,0.5153245142553661,0.4519036560753008,0.38774968932736714,0.35857261235274673,0.35453772225963837,0.40458873289408986,0.5452020419966291,1.226697159515363,0.5747862354311352,0.5273191542753304,0.7925520334741042,0.9733418079150862,0.537255863840284,0.8000034144781509,1.2377995673337405,3.0241119681145325,3.8824048449755644,4.884768011568737],[0.503880052568642,0.43269733682660216,0.4945886772686824,0.3306314324362995,0.43221964770378934,0.3776030815724754,0.354866386473418,0.2713904336536471,0.19730824745710512,0.1848432958350434,0.18413589249618217,0.2874141214575393,0.23122910637285932,0.19222776592436677,0.2670901626215899,0.23459640801924286,0.3003700919762468,0.2789060562217387,0.3396043287772212,0.36973040058914797,0.38028668130779675,0.47957193499468365,0.6150242005000832,0.6030613352404538,0.8116271229410827,0.5089004176536678,0.31946146879711224,0.2816069679775551,0.2569649067375836,0.28325818234423716,0.32121527108989145,0.26327304829854625,0.3549102163164383,0.321834719255913,0.26672796715094355,0.2756272807740346,0.27425989068335754,0.3000717312252566,0.2899590881180055,0.30813037326282855,0.32753004458284685,0.3568569057641555,0.3591791223800233,0.6524347832442873,0.8595448529822639,1.2041562029628752,1.3698230945488876,0.779633985881521,0.8554089128712057,0.9588540789713316,0.9140821954567447,2.2397278549416737,1.963317403348231,0.8149435629206894,1.1094132235939635,1.0335738110354136,0.836788198797603,0.7541663670046582,1.0365769778237577,0.6792503352288065,0.7282813521188518,0.6602672457979007,0.435964695560324,0.5802670946539005,0.4399907044800148,0.4311988859654994,0.5853339118191765,0.38056198369912064,0.6006881302339971,0.5331573771837693,0.7514762755617254,0.9297828940094941,0.6301439361647555,0.6560192452946123,0.4466538791028189,1.0002706303291171,0.35856529033494,0.33997712927499985,0.295623549574759,0.3674982793188098,0.2963232741958916,1.9399442714548918,1.8981686385960568,0.4046699462457147,0.4901934375426913,0.40694300112343684,0.28998329332670564,0.3742793385694475,0.29187690768774416,0.3707751505553644,0.3505107421032059,0.633549832716362,0.4929895677619992,0.3275118329053674,0.3127362589853134,0.430669009913798,0.4734070047208289,0.37634426332379206,0.34151554741156115,0.45723406413242107,0.3366573323317963,0.4130907874393082,0.31480633151462445,0.39467888180337996,0.4146586818902826,0.4247998420144881,0.49243876566710615,0.40607745771558607,0.41187228725277497,0.6586394629166855,0.36561838938047003,0.3741602149972028,0.348289591483283,0.3322905647577871,0.29458166636086114,0.3160645377978602,0.3157760321781389,0.2869571624453552,0.3789766078826344,0.3312286232565317,0.29469883674965053,0.2405748008557285,0.29064184890018363,0.2412719522460001,0.2978044036939341,0.3282572507960543,0.4192288636196496,0.3921610510612806,0.3937544347392879,0.45681568570335745,0.46394076702630277,0.45877685498832566,0.439981319209429,0.528682345833618,0.46010383517869785,0.4909867043604613,0.6039925741297404,0.38905034805122574,0.4197752501773877,0.4394263542406452,0.6623024410401058,0.5221685797810042,0.40207222925745334,0.3528236551388965,0.318087188019078,0.3107317992890335,0.29029816242548795,0.3164092775824807,0.30805978469656015,0.3442840097104126,0.39391989338601285,0.46360114720956624,0.5559188499544625,1.2760323193159757,1.010189586554965,0.4107827790657511,0.31777425687377475,0.32887705763442515,0.29438466119366796,0.3447727535588397,0.3601275744037643,0.29885898731089383,0.34068305667721244,0.3218446421359301,0.4890683099667122,0.5047838043149618,0.5698255919646579,1.0293714152572107,0.8562171633105727,0.8492011925087853,0.47352886854667,0.4403561115875605,0.40051254640118183,0.40610342617919465,0.3293805267451308,0.3464798155864326,0.34495292157150137,0.5513795348623519,0.35777026889201446,0.3872713833512467,0.7401322381015986,0.36836066797101524,0.4207427979080591,0.45333661643698847,0.46966697252590933,0.4869797140257436,0.4829031551587801,0.8365548979251836,1.5091278158930033,1.002317204653256,1.1807274164672719,1.4052300674293692,0.8554860395609383,0.7300200823199048,0.5424019875110068,0.5496181968032541,0.61628063885543,0.5011734001498991,0.5069561726687719,0.6179642808255945,0.46633239970381424,0.46539042128324365,0.4385631366667963,0.4494510173556362,0.4453195824356696,0.4631572428075212,0.5240561295968037,0.46875485887298335,0.4783144041146862,0.5018984156769497,0.5287873887281195,0.5242488775527437,0.5998995033228717,0.7121813038248498,0.7405930358537544,0.985116025964425,0.8538486844129451,0.632607327628822,0.5314304407519465,0.5542108500087911,0.5403560393343555,1.9563029976138242,0.9622110118541108,1.2579777947963648,0.6847192751058433,0.651118966034452,0.6773126607542266,0.771424250753452,0.6054616172853291,0.5344030953349651,0.7150111097588292,0.7752987404019841,0.7137184195221944,0.5705278518060476,0.9560298583934175,0.6513155283481415,0.7010943576466875,0.9594833339990001,0.5181532314667736,0.6488978296402553,0.649127291209768,0.7143897423260833,0.8530981176480081,0.8248936260023652,0.8189367171175249,0.7497670567392856,0.673035580909796,0.8683945598401859,0.705248303031397,0.544701036541028,0.6233583224457623,0.7041855960370095,0.5455210147973429,0.5550349310822955,0.6858842268986454,0.7467812484847207,0.5750653060208897,0.5606332190380332,0.524498876056856,0.492700264046589,0.497606781929953,0.5177128633297292,0.4850524317151546,0.45879723219275864,0.4777254487858838,0.4601474181600514,0.47305779456976366,0.46272823560551224,0.509386858675362,0.5787258600030752,0.5199636286587149,0.567541657721512,0.6300128766040818,0.8134095247515464,0.7578522263266712,0.6842752524503534,1.0135342960947256,1.230319500213246,0.8114329288804079,0.671403574057581,0.60515028253101,0.5937986156673908,0.9191384927535369,0.6030626814086085,0.5917597897907245,0.6409636940697818,0.5499082721036584,0.4968252589402825,0.44799350927747006,0.43748420825306583,0.4239540217394242,0.47029050224422814,0.629463022474867,1.2708086701084393,0.5874536943190692,0.5772826156320924,0.8805276229866031,0.9423470036924015,0.5835201182560589,0.8156387347297211,1.522716007596391,3.4198445080985387,4.538711066955969,5.78075011466485],[0.5006014337059943,0.36773721993911,0.4175020484821406,0.28533830890921397,0.36121853830997586,0.3296558838242812,0.2765325247328623,0.2018048886504613,0.18939353129602554,0.117382950255277,0.1781452602207869,0.29328641025845725,0.1904696145709686,0.17283086477404452,0.2680381121455623,0.23167523728370892,0.2898966501417765,0.2994073542656508,0.37330868183813426,0.37918703744595506,0.38024953215490853,0.45081974084626936,0.5864151043804197,0.5666256088368504,0.7615108355522422,0.4824182631568624,0.3093697441264501,0.29134803113619046,0.27872931934639505,0.267697729553166,0.3145535760093552,0.2867747927900232,0.36946336680209146,0.3352324544654504,0.27886460388039785,0.2693830944560478,0.2707566285641877,0.2915090610935475,0.27290876969627814,0.2979958655057879,0.2928427254579828,0.34806666634855343,0.37024364822745076,0.6010492722252297,0.8017575588819014,1.1621983419569748,1.2804023245745995,0.7148529896241206,0.8102446045915624,0.9205440828397051,0.8755617319542099,2.2824745623161333,1.8933293730548932,0.824169100317931,1.0525249371118215,1.0948357607565615,0.8932670391590315,0.7760703050356851,1.12275901764156,0.6613754356519259,0.6802243304764692,0.6745221836315676,0.44277296692003276,0.6065550951470942,0.43169730834471753,0.4289212053510952,0.6134855276221515,0.4195822501231779,0.6464583275704455,0.5487161797029392,0.8120890616816463,1.0233819736586514,0.6974869661743313,0.6420114076933007,0.4715545717446027,1.0699900855752433,0.3718593062085709,0.35871935099386515,0.29803189449563483,0.36591824786846544,0.31791091388352977,1.8947009653322202,1.9903001086641614,0.46805394578570825,0.48015130420585744,0.4300035354104204,0.29448457715105936,0.36483466422963856,0.2747258570790336,0.3622414060548754,0.34819407866222485,0.5903306612640422,0.44308811304375884,0.32261372447369313,0.31050639973493344,0.4043251037270096,0.42425544295686995,0.3481354746856285,0.31003909368738514,0.5144519508220163,0.3327589607877063,0.38601404660211786,0.30897309869213396,0.3879894692397827,0.39917539990095185,0.37782632489319795,0.5079455156522206,0.3269126877233975,0.35608786392447894,0.6464551497913102,0.2767167909675975,0.2678009965571242,0.258079474392766,0.30439296099177915,0.2859465256625381,0.3047437334087584,0.3236145881506668,0.2822542510856915,0.3797480427568453,0.37137495564667994,0.3065708073083081,0.2593719909439889,0.28906226344704256,0.25160523201293133,0.2589157587694548,0.26830162683477565,0.43391679503119845,0.30789385204271513,0.2963792011220165,0.3517073327862073,0.35471170949682673,0.38009350842096745,0.33431786668812563,0.4634965287604089,0.3788123327698194,0.4083433389707468,0.6099877095233556,0.33739940151328696,0.4236310935417777,0.3890255797286374,0.6326797928766748,0.476908732762648,0.38308154539764305,0.3162798222945035,0.2828570370445041,0.2826931043131718,0.24578118195391316,0.2722358740576909,0.26202227533804034,0.2945010734981074,0.3650481914122344,0.44019693151647893,0.6119668561762341,1.426146036879665,1.0887538892536375,0.42731268729156685,0.2837100647701959,0.3123151479271179,0.28306218756429663,0.33804341905356405,0.3085601737154163,0.26454747893500197,0.2874181655320869,0.28034715436595103,0.4891389620927707,0.4498247328381492,0.47344067681050744,0.9188096600680615,0.7889120225290139,0.8310327168487827,0.41834977382322647,0.3830364073350576,0.346997709480469,0.34211747862281844,0.2836145530115293,0.3092333257438793,0.32301284442632594,0.5840666188536999,0.3230210604762678,0.38408556979768405,0.6710104870438524,0.3029987202880627,0.33270018553906633,0.353716126356854,0.3848702237999952,0.42925292531105497,0.41848178140095277,0.7775899626730851,1.475284464709394,0.942014829634131,1.1160745984918867,1.3353376274773892,0.7501281501416682,0.6380823443747523,0.44005022192176685,0.4337187853697587,0.5248440561599507,0.38517193127116384,0.40340612039358886,0.5118198716975326,0.366403044927632,0.3835624673767263,0.34948823730867806,0.3589665699937229,0.3732001924810504,0.3990846631737598,0.4519516587406885,0.3951542144400288,0.43024734671762294,0.46493979316440526,0.4998509693759469,0.5009731285393364,0.5812034026566972,0.7122580691904215,0.6953562550169976,0.9431661569341275,0.8672902687515504,0.6104062916111143,0.49800422547700784,0.5328989971624654,0.4860954551331588,2.078331418058152,0.9328120352900553,1.2978370710117566,0.6322590492401013,0.6114211059056067,0.6389876129100768,0.7287297506505379,0.5262637253091762,0.4291910763554491,0.6677373266888014,0.6947705177488803,0.6913284016760753,0.5057612951549737,0.9185998282604886,0.5464725197735406,0.6158613417221658,0.8779284207995716,0.4155182384042996,0.5253154486468288,0.5556475108790491,0.6490628441584233,0.7711848366727246,0.8145352712718974,0.7737244327758124,0.6844672111739772,0.6145073061643637,0.8574529460506628,0.662579088637465,0.5010397987766895,0.6137204804421873,0.6909910204287443,0.504877826247898,0.5311572053593048,0.6917685264526998,0.7070485840146644,0.553701318994678,0.5468611212320987,0.4974984553751459,0.46572476082998815,0.45148648915649503,0.4700380914345641,0.43697128096642257,0.4021686638385812,0.4401550856045573,0.3943275389511283,0.41966928681961346,0.38749436101660767,0.4283074407191928,0.5092169625510068,0.4811454643504901,0.4766775387685318,0.5382369682937219,0.7413741661183889,0.6907676371268078,0.6520661453307163,0.8967661899784981,1.1416771171777262,0.8193656268249543,0.6491523910383408,0.577001259791501,0.5439760543252377,0.8545190342881929,0.6001721419498905,0.5997711212824038,0.6356280398263732,0.504058196162548,0.44076170216301314,0.3523973415091095,0.36015412594649376,0.35741652741836927,0.4099940715622672,0.6350318553731783,1.3720156302791175,0.4966148581071197,0.5420315214921452,0.8992688038257056,0.8610046647218828,0.585142193275917,0.8120208484011904,1.630332002382724,3.5661619126754416,4.734266063588814,6.007159733956821],[0.5265238257589376,0.3791200764909507,0.42013634063373934,0.29881165062685966,0.3616586189791185,0.3282230709139498,0.2818530692379246,0.2350701990238762,0.20548970868723512,0.17184271581533941,0.16435020118218707,0.28630005966207844,0.20744995278109296,0.18757653807156757,0.3139093610263988,0.26154972498913537,0.346403408561623,0.3649157933654974,0.4513868952537897,0.430127350925455,0.45570130501545075,0.4951809281305102,0.6355218520853365,0.635714590628676,0.7002602087210958,0.5257601241536787,0.37618018835790384,0.3620259521855476,0.3353643350466706,0.33033601159866843,0.3696329549151173,0.3346260010189265,0.45323252677790105,0.41005084163784195,0.3404392860976474,0.34479135954242107,0.3291096518620234,0.35759305393212776,0.35276908416440406,0.3711790752337449,0.3515081032325448,0.41027386343914796,0.43140844241917503,0.614274329851554,0.8202672577188229,1.1789191589175754,1.2676493046822919,0.7215379091895529,0.8146069557692149,0.8949538773564406,0.8352878549653086,2.3550330639934796,1.9865843090148165,0.936508897669337,0.9824627895166621,1.151884592322533,1.0366342482476791,0.9128665495394053,1.1731758685124214,0.6800333021100207,0.686898380133285,0.689845444995722,0.5249819093068588,0.7147518622327251,0.49395461578870953,0.49977156673735257,0.6733240587957022,0.47524591176017933,0.6913757034711195,0.5858775958598497,0.8511470684209698,1.0811421430727712,0.7403068939816919,0.6670112038867717,0.530493342101392,1.1778843302588,0.44314285611644727,0.42625931628912994,0.364813305688434,0.4363325856370923,0.41439921211429004,1.8097845333361162,1.9702499339841801,0.5695938775710961,0.5371139783955311,0.4580565708352853,0.35882773482349273,0.4222114818049399,0.3435718216302375,0.4249673373443129,0.41175956236812106,0.6519424054958479,0.49860838548030423,0.3951440950809004,0.3773986760544401,0.4666329058431154,0.46984335029588,0.4127959001036798,0.36787742999861195,0.5813633236841884,0.3723434015682031,0.39314331198135377,0.3539261173272984,0.4107578963342423,0.3956001423861501,0.38492278311341016,0.5196499983753318,0.32928835689496244,0.34634009438707675,0.6365432621350414,0.27752510788764484,0.2892884390214103,0.2708278326919255,0.31794219745354363,0.3491944553925233,0.3690940326539414,0.37978625132254484,0.36553139135748314,0.46629238828910585,0.44308865378481904,0.37499282569121273,0.35767419394628136,0.37774363818624407,0.2973597523536227,0.25482964500279,0.28178362437718835,0.47379137321189946,0.33246689491160414,0.32320418017956204,0.3604782289599283,0.36321222070197096,0.38292825849450923,0.3549972844505478,0.4880073831343129,0.4040342948032735,0.41265303648461726,0.6001454496312564,0.3691449607776734,0.4468934128740389,0.4254951648934438,0.6684501293823387,0.5303554123333195,0.4508539663038311,0.40512781031846534,0.34721049136905463,0.33780518526182035,0.3153084319678915,0.308141126515204,0.3043405645453914,0.31029420884869313,0.37335851742131776,0.4969601953173136,0.669233924798848,1.547435990579186,1.1896397997456443,0.5075786177919425,0.3280522147589509,0.3404881137091127,0.32099720221355804,0.35590555856181577,0.348662503074792,0.32140689657914373,0.34157529602603115,0.34483889263555306,0.5527218827748441,0.494075500293877,0.48136699190634374,0.9164137986576489,0.766619422062081,0.8080374985430777,0.4188241933249557,0.4037463586976447,0.37261828563240346,0.36621916920773523,0.32735423280349696,0.3403280830288826,0.35673460694959663,0.6296623974206105,0.383587810094747,0.43136975234550806,0.6462887737726901,0.3328998961549684,0.3596919249941495,0.36938506628983414,0.4083258806711544,0.4604453085929046,0.45299552503910945,0.7924955097088128,1.4253570677469931,0.8681501438218662,1.122269682618667,1.3902093742267128,0.7295031958840533,0.6130435373716522,0.44558892544461864,0.4415120034861482,0.5284886759183892,0.38479258696139634,0.3992380902705491,0.5044058414666864,0.3713421081689834,0.4043811092672352,0.356038270443878,0.3602034985002945,0.39885823096598516,0.42463370361828695,0.4609603660047956,0.4106039643323604,0.46103446088385536,0.4851884540133337,0.5122139097671239,0.5247164627849108,0.6096489436277949,0.7351562503599111,0.7040539138222667,0.9356969752578714,0.8817706987818357,0.6177049633701939,0.5102431690057952,0.5430015975388031,0.48553528097950516,2.1354594724717915,0.9366307170554266,1.3284004087974801,0.6527749076662644,0.6463596011605125,0.6667554918470115,0.7759601998535408,0.5390241959274646,0.43909826732843604,0.6661918900892159,0.6894610752936574,0.6655281073848037,0.4880544898061936,0.9320060535951836,0.5239454529184044,0.6089274957482913,0.8727255107221976,0.40795001347728393,0.5250151505590476,0.5681119751298846,0.6716900782306434,0.8047705007501534,0.8534457085764373,0.8168733202708109,0.7200881107620293,0.6546013271826289,0.9175873103809176,0.6965031476913773,0.5433974078174229,0.6652097439953645,0.723900545322347,0.5416650770050198,0.5774209804424255,0.7394546590000143,0.7198343732080302,0.590246366112037,0.5872434028478792,0.5238935515553131,0.5068510922890523,0.4989902347426258,0.5149481102921967,0.4647420263574665,0.42598793620759307,0.46259460516364453,0.4073962419508631,0.4257206903050772,0.3885852691658886,0.4362811995747704,0.4967097597796747,0.47416906090232336,0.47441309293680656,0.5381489308704392,0.7441004403805799,0.6944316886032047,0.655337972882857,0.9011347847785117,1.144577832832886,0.8191809498461771,0.64576853879484,0.5807903182109373,0.5462805449544998,0.8538446824139323,0.5972864789424946,0.5973461439949708,0.6312772676312566,0.4957262490165494,0.43939752052212555,0.35372637454316463,0.36731264858694784,0.3762249296048722,0.4239742870577673,0.681377499183838,1.3993737811488058,0.48912151045802366,0.5748766196575714,0.9475317921448885,0.7964673807880505,0.6190714091553786,0.8544058362186592,1.7774902629173925,3.7244120291290597,5.041778400267978,6.472397275735759],[0.540118966107518,0.43321408544454176,0.4691353515174772,0.37002974167200026,0.4354687738242436,0.38739407038718465,0.3525608039678472,0.2835706891340745,0.28017145785807634,0.2685690716380506,0.2862163347726868,0.37898443911217655,0.32915394522263564,0.3036657189111283,0.4431259515584318,0.3965231721686414,0.4692697864187957,0.4782199856930838,0.5599835451463433,0.5207091275646769,0.5748751642401299,0.6042202101425843,0.747906079039354,0.8326402596010949,0.7634978970322742,0.6519897720962647,0.49436292859224346,0.46207706549441446,0.4237353471839031,0.44281635901201405,0.516128689544376,0.4426894061083237,0.6037311625935211,0.5640779032695404,0.4807638823551691,0.48304733149647466,0.4331400684522217,0.455433926737487,0.4485375825306315,0.44533359674132705,0.46620926746622726,0.49706878993946346,0.510382027551002,0.706772208991068,0.9586086952093067,1.2861936426986254,1.418984166343435,0.8416927256581024,0.9246425634034483,0.9952853793100952,0.9330988888715348,2.371095986302471,2.1197932478405437,0.9782504218840766,0.9636164476575022,1.1176096373498194,1.0749925509635248,0.9763221193448308,1.129255652646247,0.732129607988554,0.8114820773538071,0.7623566818422235,0.6583637802752976,0.8741636463542063,0.6353173238764583,0.6252341945399514,0.7840423103534732,0.585030534845121,0.8058790442504541,0.6658073489852236,0.8783061994105771,1.0941200172918757,0.7801222486297961,0.7962950806462596,0.6546110210006539,1.2784757133877633,0.5896428171071253,0.5698026335028961,0.5111873690140246,0.5615157780639377,0.5113199639063098,1.7761973997166862,1.8948201591431928,0.595238234822076,0.6024340947634802,0.4959958865288063,0.452539550783532,0.5237406635427879,0.48111197948420226,0.553390091106322,0.5559316716337248,0.8340517523502654,0.6688347163557021,0.5887937989347465,0.5530311960336929,0.6722397574065898,0.6412042019713119,0.5521141049930562,0.48154945307559327,0.6542602909355157,0.46576227013555693,0.4528756621597673,0.44227951975705426,0.4722956147551775,0.4660219743989,0.45502251371780755,0.530389096369143,0.4005797671475501,0.40595776967225305,0.6836564779515559,0.35164448360599926,0.36560410477187644,0.34268040960603735,0.37682554678153596,0.42105988686508555,0.4431935276670459,0.4762382677559141,0.485110678259254,0.5899748988054078,0.5498397810130782,0.47937558678329606,0.488676616762408,0.5220210918144187,0.39427491965708267,0.3546508798358332,0.39043993213874745,0.4595473604818918,0.40957199866231564,0.4206627590693466,0.44375268587987227,0.44970734814760077,0.4555325747365511,0.4514486166275548,0.531804097764125,0.4876627880439244,0.5000800076814472,0.6322496749108689,0.45204653048072424,0.49923156797955875,0.518237421347403,0.7806540058192724,0.69459122713531,0.5496288116447685,0.5164183289331433,0.4558001068629469,0.43479917580671495,0.4111104079795219,0.41470693279317167,0.39252535674745664,0.36752021890552156,0.3966318224972328,0.5111327367449163,0.6801723103848518,1.611805952110293,1.2374262139630425,0.5596767796395776,0.4100918572753874,0.40110976447611096,0.41706720962212723,0.42701722864886216,0.4314301471582338,0.4023781210333843,0.4398919243978303,0.4326727580546348,0.5843727849060354,0.6119463739965998,0.6141278154538503,1.0911406723012025,0.9084607597638195,0.887041209400064,0.517033538199136,0.48268724015193015,0.4453509961765381,0.4516739936077177,0.4096036582032984,0.42755208544813433,0.42668250591042217,0.6493654727148895,0.4493886919439063,0.4804651822569197,0.7248248491197175,0.4042696977720329,0.4375210348484153,0.4626562031175878,0.5108115657033938,0.5275629744072137,0.5319263113970015,0.8649908147154294,1.4728526668294295,0.9675206993089457,1.1956394966694681,1.4704314863901078,0.8540144881625291,0.7222871787390882,0.5526545969499036,0.5551405428199396,0.6070088292983212,0.47808841132382945,0.46730943177910217,0.5625545790226323,0.4213769844822421,0.4561209402618532,0.41889923397461026,0.42370128735408263,0.44555791117023935,0.4718852576141246,0.48779324622666004,0.4607815028128389,0.5085291014073359,0.5304109972841362,0.559439773203517,0.5740343127001641,0.6506284450723923,0.7424294563622285,0.7652030549159455,0.9560321668290939,0.9313763754420938,0.6456685217399859,0.5542565060302074,0.5811482472881114,0.5451706817142592,2.0213683701708476,0.9567532065756169,1.2954750402581876,0.6762247571636403,0.6577385712427193,0.6767419730921418,0.7759455670276445,0.586442398929069,0.4985423516175157,0.709302913487951,0.7367011113921343,0.7155915602050281,0.5464392879007559,0.9646094392952824,0.6023097321762283,0.6604317748786558,0.914981293896771,0.4811481937271567,0.5889003465899899,0.6113745977842368,0.6993798238774905,0.8390241477712331,0.8932183097646842,0.8465360127658818,0.7511741503580708,0.7024541542126129,0.9310137838682571,0.745466961806347,0.5893944793291281,0.7109802014312511,0.7839008816686454,0.6031192741556834,0.6316005562053095,0.802832413164683,0.7965438838202532,0.649123006795962,0.6525274836749344,0.573680066960924,0.552107006371729,0.5398510221621524,0.5527749101763458,0.5110700197271236,0.473041201184137,0.49928165421699566,0.46450544000860083,0.4774338057091964,0.4507063329485623,0.49043551313703937,0.5830254905533939,0.5359498757959641,0.5417875807654754,0.6058359804007761,0.8182747429636719,0.7623628570525127,0.6877762995853648,0.9783277941598377,1.1789228329887331,0.8564443236574452,0.6874550568838312,0.5998599084791282,0.5791012603078902,0.8753180248244703,0.6271955007084643,0.6429350504644713,0.6868619335164925,0.5445674886630177,0.49128499035008844,0.4310158585119085,0.444702258691989,0.41764826834909957,0.48175907871640367,0.7074940355134344,1.4113980217365296,0.5649476139031435,0.6143376152485379,0.9692411628491662,0.9027684777195671,0.6309252572834891,0.8592079670779693,1.6967246538650793,3.6657033776915577,4.875542488506242,6.200099258658787],[0.5534803982137843,0.4168909593789415,0.43220466663891294,0.34103513899791665,0.38724276051986695,0.3637030200585581,0.28890661693256375,0.2761112243685787,0.24870597167566083,0.186492378355603,0.20635810451298103,0.3256619059368875,0.22466350586400594,0.21407703917494364,0.35747775516040037,0.3000467301632974,0.3496627002268991,0.37621850971082843,0.47167108086821186,0.42579588597085016,0.47523155155054675,0.5161846528174144,0.6730883807439558,0.7169481342375458,0.745908794298744,0.5653188386803366,0.38235541747783475,0.3552156472889793,0.3299912445942441,0.3376898312389845,0.40030365768261805,0.3778520566198653,0.49818057701095286,0.44782600265020717,0.36708587367745465,0.3528814952976435,0.33577853085102366,0.3469163189240087,0.33379706834299383,0.33291133416756724,0.3548066399038174,0.4067202846163804,0.4179158865919984,0.6318289605391301,0.894616860654825,1.2475934138605167,1.3826329748764719,0.7680616987824509,0.8544325558586763,0.9546301634967754,0.8948482032192472,2.307604406615559,1.9937228246186887,0.8893841782229435,1.0125775759582865,1.1241239023130827,0.9944907158839069,0.8749153834985529,1.151818356617138,0.6648400748180019,0.7054398539706564,0.6929595843823076,0.5498016475479335,0.7592734797872981,0.5180948798495347,0.5133720763275302,0.693893157596206,0.487829235840182,0.7420274367712003,0.6058783457662325,0.8615991960936071,1.1228365929320878,0.7657657288977439,0.7429455037028679,0.5696298761223593,1.249381031647856,0.47620542076263966,0.45647858135982816,0.38128235525942006,0.43782553655418205,0.4140646443155531,1.847711335282024,2.008148034930202,0.5176206169847627,0.5165535912381831,0.4406677646402721,0.3459163266169728,0.41825910283234,0.3516966504791849,0.4410340416347792,0.4462970807135521,0.7170311077229059,0.5450711396208748,0.4677287156570739,0.4352859590154048,0.5310644460554098,0.5103737428614277,0.4430546482338578,0.40330941751360194,0.6524901433935333,0.4123040047370393,0.4452402257270801,0.3779525368309795,0.4354175719685499,0.42603254363029874,0.4143140368444187,0.5666258136270419,0.36140905832608383,0.40530829840475413,0.7070980282587949,0.3213593615910841,0.3055568111643876,0.2823790807007765,0.31664997914204046,0.3326399754447307,0.35720187080727617,0.3810322258710924,0.38643830847207306,0.49703898251791284,0.4621303822195712,0.3992499119201169,0.3652048848723514,0.3905057468526433,0.31035317965303594,0.28888654056537505,0.293302892918934,0.41496689634041733,0.3338124542985704,0.3266406025823313,0.37416241922121524,0.38434411637128596,0.41667923623605496,0.37651742392355564,0.4851688106544022,0.4168646465408499,0.4598124161100519,0.6557930492142592,0.37471780186335907,0.4693573078339588,0.44401045655639587,0.7414450902931884,0.5956390374972503,0.4621036291698038,0.4094802625405452,0.35271862582662417,0.33844700906843245,0.30501599585541717,0.3062677749920864,0.2994033384698527,0.3128960650221873,0.3866404931117387,0.4814229976385362,0.7596945073434278,1.6905912026123877,1.220935236203411,0.5441546787779665,0.35701474421396695,0.3683198584576218,0.33458673148909446,0.3612605916415483,0.34032839364987216,0.3196479397842001,0.3341672500534421,0.3317335767252397,0.5129064476269749,0.5056950215400596,0.5435798021799635,1.040020722350093,0.8854300088302802,0.8947586065974358,0.4648272099788733,0.42913846046845977,0.39100958832768035,0.38368280788499687,0.32864706788484555,0.3492857795833763,0.36720552586703586,0.6410320110957752,0.37966409426246,0.42537876130605284,0.6779828149120359,0.3421957160868145,0.36548138625335813,0.3813337488719659,0.41553837561385276,0.45193833892895285,0.44759721659887,0.8174220106410617,1.4918471967700038,0.9738323297236758,1.1422012189286552,1.3149169820914777,0.7837200224585907,0.6845428500233905,0.4770962593949989,0.47560272842031154,0.557013790435709,0.407729818678139,0.4304030033858141,0.5202993070265174,0.38298290680850355,0.41120399965595633,0.37477784251939966,0.392770531313066,0.404229842644407,0.42844753705355554,0.46956154740564054,0.42016396301697434,0.48091506791782407,0.48243927996175523,0.5231702369842718,0.5476506253298509,0.6124956123661622,0.7264127170382871,0.7288342907437404,0.9100934160795129,0.9182398283974348,0.6587542028532153,0.5399981324333477,0.5802313637521447,0.5585729401267021,2.108999405987762,0.9749246462674407,1.345402142989584,0.6594767551208909,0.6480179355088728,0.679638705484808,0.7470691057327157,0.5727334798541207,0.45903331247347817,0.6784654561673806,0.6669925332890926,0.7193311380740743,0.5175201333702271,0.9018449128989996,0.6118478905987462,0.6553338332514219,0.9038941527932226,0.4523683410912064,0.5414875761863402,0.5714198533352527,0.6510667597889486,0.7728241346882306,0.8632945513681739,0.8080641520363784,0.694873378401767,0.6624399013918052,0.9322315769719276,0.7328706039511756,0.5721335467326106,0.7105080763322402,0.7921889479088933,0.5840233665555095,0.6177097107443389,0.8169317133916755,0.7916514540512687,0.6370911777970253,0.6446048325169614,0.5669875113088825,0.543644690068792,0.5219203585016021,0.5391254831255724,0.5028372730847445,0.45294837764503976,0.4975710590414175,0.4511474769389293,0.46462908937169634,0.4385532728572121,0.48751625461745707,0.5519881244189038,0.5145829911177647,0.5354576501062238,0.5622082799712282,0.7994884138371612,0.728550151996689,0.685282217442472,0.8969790653941685,1.1202826006974371,0.8931018060933597,0.6949657276796669,0.6076643627008654,0.547070891571878,0.8418135982105442,0.6711330428682997,0.6970566168558536,0.7273235092851806,0.5614916916761835,0.47764230459440254,0.3802731046174966,0.3868316464543606,0.3786255919443996,0.4542388507127346,0.710885057612323,1.4982858724362889,0.5280024059108213,0.583389000689239,0.9415902964216081,0.8736869461388007,0.5949072377082676,0.8241841915118387,1.5838314867970351,3.545787568659961,4.609470269849086,5.762736765948096],[0.5399383369004079,0.3579925150964313,0.42799399701802693,0.28443543768528107,0.3480821477536908,0.32886919277455057,0.2520878262345694,0.2609193779110417,0.2129213322596129,0.17308298000759725,0.2252048496510481,0.3342846289316357,0.23563277504417454,0.1949915278841981,0.36702590936331353,0.2965131525445198,0.314995292720516,0.33868297204195336,0.4001063104962642,0.3945401297199659,0.40713333403095825,0.4446969523300641,0.5823677528494122,0.5693267193612143,0.6879980462078209,0.46464079605205083,0.31793006471569557,0.30855863172462905,0.32060775093708466,0.3362802386287839,0.3689350105968533,0.38668875704866684,0.47878783035326955,0.42651468219248195,0.37659237731083306,0.3435685074328216,0.3668374471642505,0.35044583585734207,0.32282858261800196,0.37590510502825536,0.2946730670045464,0.36416743381292693,0.4260515960808242,0.5345624969294696,0.7377777566694348,1.1180444651038313,1.1836578126256956,0.6289999897251369,0.7414777682644937,0.8297320609690672,0.7898837827795696,2.3444274874856963,1.8867711628485437,0.910862808300409,0.9993978079699729,1.1938150860100594,1.0271877184326588,0.890619359665307,1.2364132838906423,0.7161863869088835,0.6507588140467109,0.6748276439726112,0.4881694763419356,0.6645130827640829,0.4328673399887538,0.44634500338048716,0.6472228603839552,0.4605139597097122,0.6431630909343148,0.5661102593230164,0.8410481602834634,1.1270371916766007,0.7538767889281532,0.6520005103928388,0.5271779061753155,1.1860251277768443,0.42796946129076663,0.42881060537202087,0.3643410489085785,0.4446057235522309,0.4238902742390225,1.779729082613094,2.0243454151905804,0.6493128891608236,0.5376666973174231,0.5135507307665197,0.3669729274268873,0.4392627092555768,0.3388378762067663,0.43666899727069586,0.4123822502790254,0.6376897553779854,0.46798228594316577,0.4097239665210118,0.39171745074992004,0.45656850181619557,0.4643490204832166,0.4134202341703909,0.398796555798578,0.6555081027850892,0.4369091061630016,0.47443412477095737,0.4008846764022846,0.4672508623291372,0.4652226103654709,0.43752339045988237,0.6106934971436185,0.338680264973393,0.3716659729851437,0.660174277020541,0.3024290977168805,0.27111093033523365,0.25691551063222273,0.32928798705083323,0.31123876088474894,0.3313973242560076,0.3361130799811426,0.300246786293921,0.4169703044850943,0.4033759172143145,0.33464563244401496,0.3050676195625113,0.32005391396308047,0.2742349873999932,0.2702502334624872,0.26738069834347916,0.45987401700427255,0.3320468412863148,0.3140764252239149,0.3605921355266458,0.33749294456207324,0.3934202822896035,0.3321252969320878,0.5075434627790606,0.37878188469565965,0.3804351731057326,0.6028996991152084,0.3475601771904408,0.43998827889602393,0.369879109630594,0.6206138000683764,0.45450922179372155,0.3928321208775687,0.3341490570764885,0.2975907291863523,0.3011334058130321,0.268119653565679,0.29710909942740465,0.3018298649203115,0.3152809388829582,0.38226658512879014,0.470149171411407,0.7562378388677382,1.6499838048713693,1.21492666606022,0.5503966138454994,0.3733974665512599,0.4061582381600918,0.35975400892534315,0.4134148396305283,0.33510186297763783,0.325232975037376,0.29075020170844396,0.31173401579845983,0.5469666151302524,0.4419407881780818,0.40955905221120037,0.8170580376847495,0.7114311552011311,0.783005753353656,0.3916577644165708,0.36973760440376857,0.3494069739958625,0.35237444875894075,0.3237988159154735,0.3597997956620666,0.3809364903628161,0.6800666196740802,0.3891587511043689,0.48345107553027,0.6182221100447897,0.3489693028430277,0.3606800731312379,0.34971312206098637,0.3814138656133257,0.4160533944274297,0.3896002079109001,0.7356433147490193,1.423507571030431,0.8310805782500409,1.0982412633574117,1.3527024695485586,0.695596232866943,0.586021670314626,0.4082822179647626,0.40388987171662016,0.5019643825639682,0.3554187627448451,0.38442293836978086,0.47078195878551765,0.3678332832946167,0.406452991198097,0.34843639020567496,0.3691321407762591,0.40713676952676825,0.42805455779526025,0.45246477115539624,0.4184751818286495,0.4731111715180014,0.49617761180284053,0.5394620321736664,0.5516462032965226,0.631410714731488,0.7884348239040285,0.7168337071790466,0.9473572127500994,0.8798052011734216,0.6291477943787029,0.5295785946352819,0.5701028289366481,0.5104578500453292,2.240718784074884,0.9697141308716581,1.3659940997225204,0.670378680154596,0.6733141917020949,0.7002114380559159,0.7989327925800352,0.5757637322391173,0.45491126006287746,0.7019866826275016,0.6779060791152375,0.6937166134752414,0.5033359928403578,0.9379156971553142,0.5115996579159905,0.6045843980052176,0.8431161905317225,0.40350293343339627,0.509931049717479,0.5734792685454988,0.6889784578701567,0.8108296619462988,0.9014220617442106,0.8321983879358649,0.732403241202932,0.6948397374458847,0.9632731524779585,0.7345385745686764,0.5772036122676588,0.710692868541878,0.7651446061725437,0.5676759672137024,0.6080195605519119,0.7769873795791717,0.7376560614391641,0.615939685432412,0.6244673783095099,0.5569919187569209,0.5433484384368784,0.5248371523711463,0.5374961395764103,0.497444440071506,0.43924184224967155,0.48254959831965233,0.42527513670510214,0.4391753863358655,0.40245504037838215,0.4590271049506131,0.4944274801440851,0.4912558184672584,0.47125113445164735,0.5175481519278958,0.71292792538924,0.6690742281886821,0.6515704265461035,0.8435578757158945,1.105727758792653,0.8457399917729789,0.6567583837887349,0.5795005401084471,0.5458769005434903,0.8154910312621891,0.62739478833371,0.6196540314325132,0.6450995951486999,0.5097721166170271,0.43578299412614285,0.361076851423117,0.36443841446557873,0.39063370835467076,0.43282111537466555,0.7218518373328278,1.4599811397128934,0.463959269225423,0.5903613874275219,0.9668032323753449,0.7499602533981558,0.6254287879508181,0.8641473898863158,1.8191212495357503,3.7736538904388297,5.106560918957768,6.5197533902656435],[0.5618604949415349,0.41763277822554057,0.46748101780446716,0.3250311453309214,0.3676854563875603,0.3921970190228807,0.29238929053736296,0.3334383923381326,0.2735266499662909,0.2390954687328382,0.31204669922902195,0.4265489352823855,0.338842999578064,0.34826021861926726,0.48826776294069135,0.43802740181986477,0.45470302882016944,0.5041909057046593,0.5709789287800725,0.53412392197049,0.5815432627010714,0.581354490073014,0.7307125161705962,0.7547281524647994,0.7277539816763188,0.6157926041006971,0.47153939632965747,0.4540899620202649,0.45064350391533603,0.44740748153105,0.524320113216279,0.5093024324570964,0.6294977132116829,0.5747356510248919,0.5133727072689123,0.49240239886584697,0.48404621702301404,0.4841417101372515,0.4420008579660448,0.476663185871751,0.41548626083810786,0.5044886656084808,0.5694492820396609,0.5920529158719963,0.7872087710953727,1.1342180358448022,1.1732158529785424,0.673790388927937,0.7582546884673471,0.8134592029863359,0.7658876031616652,2.357428728918005,1.950690806730983,0.9855898548196886,0.9482311801619105,1.205566708237233,1.1461877196708519,1.028936894097186,1.2524392306311545,0.7464933464298243,0.7675142443525274,0.7536401009415288,0.6453897177487479,0.8578702916458866,0.6140514777058196,0.6134974853159059,0.8099137950694687,0.628283009338925,0.7960134514617837,0.6980892890178108,0.9410624962045278,1.2673009861521554,0.8773123147062641,0.8292223713330896,0.6771054280887009,1.379953113301118,0.6029225997647248,0.5940868912789401,0.5152752494535707,0.5623311516985093,0.5586453123451028,1.6605755510346056,1.985059789439214,0.7871029577099354,0.6170743144095229,0.5712351731783171,0.49651540513970405,0.5427053909130406,0.4909241372525996,0.5557302286792649,0.5627787164783522,0.7894822229304033,0.6385368163949379,0.5892206445515439,0.5572474320382832,0.62356890747458,0.5871814185727964,0.554812391565578,0.526916604125513,0.7753668215278164,0.5408944848269212,0.5638597723184473,0.48663177539062646,0.546478134319467,0.5192493808215769,0.4634786194734799,0.6337597269424505,0.37722279291592536,0.4127353481585181,0.6643092069215888,0.361536198486129,0.31400394004429083,0.3010140274096128,0.3599803683378674,0.3941238473148975,0.4269166489820759,0.45581458173645795,0.46595171022895177,0.6078285523278207,0.5496913770133558,0.5044992939977143,0.48331969391175555,0.47257515363449476,0.36830002610901236,0.31763666356116016,0.30181317445173284,0.47338420580106944,0.35802632902775244,0.3493882629013646,0.37895833410213475,0.3676386448463264,0.413620859809174,0.3584053407840296,0.5278319485762278,0.3960775926082518,0.39780097774464857,0.6087577203944775,0.38940127608239394,0.4930941399963887,0.4440332109313399,0.7347870429033885,0.6208590983279817,0.5265981747767047,0.44502950193245466,0.41489990451645453,0.4091642588025602,0.3654112261406091,0.367437808118597,0.3608886740498936,0.3491345323921674,0.42867271957299447,0.5247941683111341,0.8575935954646084,1.8034794835318926,1.2906942003558424,0.65355478886807,0.4636578176735451,0.48915782340751296,0.44444946565509946,0.46484415541106316,0.3884016346798689,0.3986749240475989,0.36348439036983404,0.3931779808776047,0.6120828213925031,0.5076088696016847,0.4531055173847037,0.8747178828693499,0.7381097054817543,0.7896791567553026,0.41887543012168116,0.40070660732901486,0.3851041593865441,0.3895524229493724,0.3821773839663825,0.4211180103483169,0.4515849389016086,0.7427065090418253,0.4574073903919926,0.5419773739894486,0.6093404421001901,0.3924329092147616,0.4067911379716696,0.38752471802818717,0.4224315985562913,0.46110665439790327,0.448965781127734,0.7704950723602305,1.3664726476447346,0.822138679459454,1.1374466284481193,1.3873100354230854,0.7255193747194538,0.6187281288303426,0.44206656027120106,0.4327675746359651,0.5274556315452861,0.3818254459286478,0.4132244296883277,0.49428417268552455,0.41362353849577593,0.46001078806571993,0.39705547663220186,0.4107123072140653,0.4681162481512261,0.48828762319659397,0.4889362064421328,0.47188926733903125,0.5483523057314709,0.5524111184442326,0.5988543563926535,0.6244556674270413,0.6909710400840658,0.8346764728559476,0.7750022813859022,0.9761581271726485,0.9539631914243697,0.6811498733069823,0.5769245078098267,0.6320704151925869,0.5749114003680273,2.270765279486061,1.0083536270684448,1.4157411572335061,0.7268520207396078,0.7293949931018221,0.7489536042830314,0.8352114984259799,0.623580100944353,0.498401525137436,0.7292972225819634,0.6953846995550411,0.7220418232996986,0.5305198359753304,0.9456096815181336,0.5456025591575066,0.6300021261274963,0.8610490026864913,0.43747549954182857,0.5312865828038266,0.6090546710662977,0.7249563012507502,0.8479273453600764,0.965557434887165,0.8876548769397455,0.7804621063726508,0.7715058572222796,1.0518866381103438,0.8068558597536053,0.6622435940806353,0.8136086347888981,0.8638861355445785,0.6548301936424161,0.7054759116690164,0.8826220331443527,0.8214805260280477,0.6986485860854516,0.724628825491954,0.6411102736503125,0.6398056885138996,0.6138235956385111,0.6205941393209468,0.5818613688023107,0.511936441086938,0.54204971419409,0.4884622640690046,0.49488499802042646,0.4434107861248406,0.5050518846086477,0.531609838627007,0.5247051471676077,0.5017933059695593,0.5390521251597954,0.7500028937366205,0.6992108078232349,0.6868546083517288,0.8811481788253243,1.121388340485977,0.9176881024356605,0.7192846482194636,0.6153789238500447,0.5835121694215707,0.8477375605010835,0.6823530018429688,0.6861014961419425,0.7025881454816114,0.5569557798246961,0.4702844476028988,0.3918479550923475,0.39385337275056015,0.43340589540191077,0.4931241790329898,0.7969250095128048,1.518041205529794,0.5108771879501574,0.6567655027688938,1.053101815496425,0.7838990656240955,0.662607514723768,0.919517486207332,1.8395652222975356,3.7542715241684803,5.091919546593997,6.4981586614461095],[0.5628739952712026,0.4161328864927443,0.4429477437791586,0.362845997335146,0.4001155105937672,0.38491056890928504,0.30647900574420583,0.30904609349523127,0.2671855511020258,0.23717642304069608,0.29043173970946007,0.4161209225904403,0.30620480367543434,0.297007914576933,0.44329702254978604,0.40112134323219834,0.4160832482149255,0.463562016561191,0.533609242495545,0.49213958649352296,0.5607863204055904,0.571851140693428,0.7009165332714903,0.7747907237121515,0.7207802092800665,0.6086317443108323,0.4381130184958978,0.4301934062599808,0.414391871174059,0.41560380015529713,0.5057252079531138,0.48887757165601176,0.6325403974992285,0.5699795041233436,0.4879760972375516,0.4592637494455167,0.4451510288060741,0.44213625946417134,0.41191114259302725,0.43168527160850106,0.40362699336228186,0.4672112205397692,0.50373125206287,0.6242006136300737,0.8441453964545921,1.2007534234417707,1.2955923826137388,0.7281127080065761,0.8016107804659213,0.8790375400997968,0.8114829635295968,2.3343212175793284,1.990209702556068,0.9513777797288325,0.9625545072677967,1.1721399304742202,1.0943146407395303,0.9908190485777366,1.2177864979204829,0.7204141172840336,0.7597630488425764,0.7307179602622237,0.6328520491326328,0.866555784342414,0.6055703252176975,0.5950779935171931,0.7771056288380371,0.5945310750202095,0.7926116913062085,0.6594436673342293,0.9014713360899199,1.2320129211271291,0.839134007054989,0.8230607298683752,0.6531876526821094,1.3814149396842788,0.5859350672390613,0.5863193045501548,0.49824160431818004,0.5306423957664813,0.5298315203449432,1.70131441948962,1.9850290092839031,0.6923567932795068,0.5812758185135437,0.5338661506662017,0.4593193591903248,0.5210077070916871,0.45941529904485123,0.5515202043583091,0.5484022596513942,0.8034217201188444,0.653092582422089,0.598613880366954,0.5518992734248358,0.637066045013973,0.5847321737701624,0.5553756937372639,0.522440076572641,0.7835814183263009,0.5312944594258995,0.5421452884922664,0.4533088159423071,0.5065026177560249,0.4958521877252634,0.45629319784276634,0.6375482630446447,0.3535186808915063,0.39207790934172393,0.6754687604903254,0.3345085346802429,0.29906533430724747,0.2879885981030854,0.34669255352435335,0.383382253588133,0.4262023275249751,0.4450024113068208,0.46212570341165177,0.5960837215319488,0.5287815513398849,0.47932694528234876,0.4596706031192027,0.4727459079738222,0.3625075286701803,0.3284127871838086,0.3251353706890819,0.4569019130545474,0.356289231070606,0.337536495753028,0.37398743842198146,0.3767673340542172,0.4275834528942207,0.3631613926823892,0.49558572713790894,0.40022523510280544,0.4285815283782223,0.6576083570671557,0.4105648238948933,0.5032967925960853,0.4543351188314017,0.7545861611590967,0.6609488324916384,0.5303135432456182,0.46423572773604843,0.41492927669917784,0.3950387344572695,0.35966594923941486,0.342942693838894,0.3333015492443438,0.3447408261640071,0.4047895535952096,0.4907962572941158,0.858729011803274,1.8269186790787044,1.2646981995804991,0.6347882876456783,0.44011377758861686,0.4601511598106409,0.4114490451647159,0.4386155890191946,0.3634899474010027,0.3600443635648304,0.3589764926558525,0.3731212754794838,0.5770026259867937,0.5088966311087031,0.503016511931,0.9766793274776562,0.8239989889281206,0.8535728615370434,0.4588994849225584,0.41844993365693495,0.37645918333716494,0.38003816352867803,0.359034196153338,0.4037480359146273,0.4262827169402353,0.7133028254074915,0.4378141974287136,0.4960219154987878,0.6293482623486745,0.37045117548831286,0.384004785683517,0.370831215552718,0.40435973703929234,0.4562754701444824,0.4637872102100601,0.8110463439986174,1.437290746324073,0.9152192294782245,1.157304812650675,1.3425109406719695,0.748246550716801,0.6424870999101894,0.455979305618191,0.4518442203980189,0.5501903167026159,0.3805338870047943,0.4148062125771027,0.4986448973950836,0.37917600780465555,0.42245577785499805,0.359893456711882,0.3871140697858668,0.4169636066614644,0.43987383976375233,0.4697368441225134,0.43742855180082796,0.5152002462640449,0.5134826870342656,0.5666585628251926,0.5893331806834592,0.6353473906805789,0.7798583729562099,0.7568246186049349,0.9291485859385601,0.9571230728345874,0.6846265169454334,0.5589127362814393,0.6088345908899159,0.5770931753636056,2.2002202488190012,0.9976820761529049,1.3728686609286729,0.6691596455590041,0.6873345966645603,0.7213473452090066,0.7962610443391717,0.6099721266524161,0.4711037343721384,0.7140722726058739,0.6557023477547085,0.7111493731788078,0.5131953510144609,0.915831849884488,0.570668250886919,0.6425999924581167,0.8690091874382764,0.43818802843296745,0.5134184091405373,0.5840798945786203,0.6856582683230749,0.8120652041575142,0.9415646766414771,0.8575672767357692,0.7408695416207444,0.7308873530385765,1.013597700633718,0.7728033336978875,0.6139604617807678,0.7699544074263106,0.8344950736619892,0.6153558132121494,0.6653160804751475,0.8674582528763294,0.7961521818769269,0.6567498820121812,0.6810150605283566,0.6059366879710127,0.600091897075192,0.5670355752723837,0.579020581513995,0.5443481690721809,0.4700122600660009,0.504826481900805,0.4637466947355116,0.4851180836712953,0.44379053231873217,0.4966958478117152,0.5660059072957807,0.5502250597253584,0.5214386540313761,0.533802741633457,0.7890562872342612,0.7313683885819868,0.7181318016745177,0.903249206521313,1.110968045741018,0.9717275693421267,0.7523384964697213,0.6161779128278911,0.5750985504222971,0.8622148190171233,0.7243302383791245,0.7477076705905884,0.7688395962931133,0.583478143860109,0.4840205386859552,0.38597284447403757,0.399853183459675,0.39876534942599134,0.45058832442107755,0.745858624094775,1.516068071007589,0.48698588946677973,0.6095557180802177,0.9802713829701655,0.814149989404622,0.6068572654724428,0.8516444684129543,1.6554620609047759,3.564186497975712,4.70500634173481,5.94329843544621],[0.5774248841843735,0.40263235122823243,0.4242780403665219,0.3482175170676008,0.37811139564588436,0.38132170935920523,0.3033507686713029,0.3887454016569409,0.31729478477529216,0.2876188159036572,0.3564761517879812,0.4636716778654844,0.35697378801866364,0.3077560441217934,0.440693376242101,0.4013615017437121,0.41289750472836456,0.41965033344013164,0.4802146115692861,0.46230239044532684,0.49541642395732954,0.5271329391105608,0.6625480234408337,0.6777869389805479,0.7439927121816564,0.5544436791529032,0.39909114372385013,0.39519430195835303,0.4099552443732958,0.43301359888413815,0.4793224680259049,0.5157656563995735,0.6108900586924887,0.5414300645811199,0.4894461524912889,0.44100697758513147,0.474214899730837,0.4253615751287188,0.3891333075578337,0.4126410945735529,0.36316135280496287,0.44738740837092167,0.5005043442842738,0.5974940374821408,0.8119829379348668,1.1838155949344917,1.2840635867741212,0.6915969739192399,0.7988144671649312,0.9018543409363278,0.8430642343387804,2.3142965363398007,1.899771276869002,0.9073819570204922,1.0217221592451227,1.2020199531138782,1.060767409927506,0.9230487992296139,1.2463466208991023,0.7423200011360248,0.7146488311035557,0.7319861877831622,0.5900475720793283,0.7789622645930816,0.5374941922358661,0.5464198776725151,0.7352110590759865,0.547338013682194,0.7530276484821559,0.6358902918510175,0.8742526528437546,1.1933798338535302,0.8238882560241516,0.7571814269852428,0.6124384632029467,1.3084986517798023,0.5420247186382439,0.5299525443332955,0.45474381413545084,0.49248484609233467,0.5054440532349016,1.772098029040096,2.0516462614176794,0.7129441962347636,0.5872567283024619,0.5764434753033556,0.45010331907498,0.52874940250904,0.4281760304563507,0.5257635105619551,0.519554749656785,0.7224836746855757,0.5828451022990452,0.5558327868541224,0.5263423585752268,0.5869333030680159,0.5946595422755299,0.5427784094927738,0.536861610545948,0.7861073393348561,0.569499437503679,0.6123567516454608,0.5130239583853139,0.574595334366925,0.5718669868059009,0.5263346019911419,0.7330123105109055,0.4354215912513191,0.46864433725207605,0.7510383900281964,0.3929280793291573,0.3383919153130409,0.3246259595080043,0.3917330103366896,0.3725974899569954,0.37713426490558843,0.40536138291305146,0.39348435053597386,0.5100979649220487,0.4783778250144737,0.41458637713399255,0.39128658779852776,0.388361562981301,0.3291385548437895,0.3180793484244635,0.31722782338070965,0.45210550917794745,0.3725669313781401,0.35248556931537744,0.4018818251753174,0.37934196685231886,0.45371686783481735,0.38037386163822634,0.5053845744487254,0.41423463326205473,0.4508859697595105,0.7014516396652825,0.4010709890203809,0.49670582717945455,0.44841449289160135,0.7270131644423126,0.5643153453961963,0.4413413608022815,0.4019040453940313,0.37852926893086164,0.3797771025777879,0.3470005035489437,0.39669769046879494,0.3799273126366365,0.39078140984358234,0.4331274461429793,0.5075799403776877,0.9030287635131422,1.7871170824270837,1.190068360677846,0.6542494613110794,0.4892467153175668,0.525753443620795,0.4594550983222534,0.5177585980282021,0.3987684652603792,0.41839947870020017,0.35518426929890773,0.3697817325680766,0.571111343132961,0.4927861515687109,0.49830077130630207,0.953411088808298,0.831399811816165,0.890210567680187,0.4804845408340238,0.44460292946185365,0.41280025768252365,0.42241852881364944,0.41579143213074254,0.46902650931940565,0.48139293924427806,0.7720989108106898,0.47505573707461135,0.5779472469604344,0.6770354841711761,0.431801460718055,0.42271717477136805,0.42936117686790104,0.4366451482221536,0.46078803325898543,0.4274828059187259,0.7693972697702173,1.4832121961508165,0.9017408516608743,1.0990704652878862,1.291582814011487,0.7218908766487155,0.6277934694594139,0.46116305936593094,0.47152367675123896,0.5607605958656893,0.3956144675054289,0.42795315616522894,0.4930042071776805,0.4070613396969621,0.45117298140955153,0.39166030610473457,0.40898581980851534,0.45131438784250305,0.45853368692950136,0.46730902596581353,0.44141221648219225,0.5160380824428913,0.5053264323834323,0.5631966624037938,0.5931284982869411,0.6305247989451337,0.8032522639209149,0.7639414310753105,0.9516644994163642,0.9527332038685682,0.7159814124447823,0.5813511190068783,0.6346087684785261,0.5885288397580462,2.2563177230150164,0.9974086265757435,1.3715250951931253,0.6583431052838381,0.7036332164917344,0.7660487186348292,0.8259351911253334,0.6299955354722321,0.49480758418835846,0.7677557575172684,0.6849908654728335,0.7607999615395072,0.5673538852067429,0.9337065037824118,0.5931906164267333,0.66249633644744,0.8333394148075959,0.4498924592714486,0.5209639229990619,0.6091330385510989,0.7262802923196784,0.8141626495661582,0.9507378522544094,0.8590592256096315,0.7620732019134312,0.7538917154318034,1.028529353984313,0.7985347535529789,0.6368302311919541,0.7944959017800917,0.858387085322206,0.6258261833541546,0.6832248246898837,0.8910952333146694,0.7901120823078067,0.6675924803948122,0.6979894077404376,0.6192745247792804,0.6164293933178705,0.5887771722655458,0.5993224527636518,0.5657528518620918,0.4847159819379639,0.5303155951794563,0.48294735514249093,0.4995280002082919,0.4529242777802333,0.5120474170151447,0.57570323282588,0.5549992034232969,0.5279823107623832,0.5502110680666493,0.7751370430304829,0.7164761694024513,0.727551749793051,0.8631964828192265,1.0839480731622921,0.9680646535401469,0.7743945587696368,0.6546530868751841,0.6003313945872752,0.8699243904438458,0.7632734420383619,0.7774453562858875,0.7580578549186373,0.5670674840158759,0.4698430729389381,0.39964042603010036,0.4101775377340013,0.39036961375670665,0.49439256439541224,0.7757630282538263,1.589084296590288,0.4992908088359279,0.6159697880763505,0.9844846753554114,0.8447298489076933,0.5855389153682836,0.8482989524528305,1.6192922126476166,3.507047784876139,4.566150483006322,5.690446032262022],[0.5893825663404222,0.40128009638015644,0.4367228338577576,0.34282979263503593,0.34485238870409624,0.35905925166120667,0.2641255477852414,0.36021432734344266,0.29018807396889357,0.2999415327298924,0.3930223562830983,0.47950372184492573,0.4031956926271311,0.35651592769280543,0.519193898329383,0.4704981590742579,0.46429171087328575,0.49122320136711345,0.5388780449504769,0.5137503163404984,0.5563018794801099,0.566234880470844,0.7075478260379406,0.7235615349720472,0.7208076692958431,0.5811987543028231,0.4286243583144604,0.434031236357681,0.46284904516986186,0.478419801045756,0.5727682977248084,0.5799188898581495,0.6983006282078781,0.6493546018705155,0.5805540686162681,0.5109911695959426,0.5290638051872959,0.47848104063923763,0.4334250264891942,0.4746513220728259,0.3938236337552943,0.4894710916543935,0.5554992842102764,0.6052894486984298,0.7859359015461217,1.1582413467167318,1.2293193795972175,0.676813741889168,0.7708591236821365,0.8598111192489325,0.8035602529079608,2.3550604546085685,1.9095153829543032,0.9705597863686672,1.0040802625982213,1.2673224346255927,1.144157884988794,1.0181549382624497,1.324033009819637,0.8036152673743024,0.7267495314329332,0.7922648503819456,0.6808436662516055,0.8644800079410241,0.6101450857088634,0.6187972247534411,0.7927776534887891,0.6246486602682579,0.7953091084311814,0.69603282169932,0.9316717810390042,1.298242180385227,0.893865622599067,0.8419346197687319,0.6988864649860146,1.4043347633455794,0.6294779155459669,0.6360191379844434,0.5529414240536716,0.5922609405977913,0.5868094866408068,1.6839986928086947,2.0513771794539677,0.8236104996670965,0.6185807549379869,0.6087976697402896,0.5156347298608516,0.5964577830554817,0.5120381264806038,0.6235224167632714,0.6178846561605404,0.810108685949528,0.6937487344502253,0.6647763333118403,0.6194884466596624,0.6809884480521131,0.6924651786356533,0.6264633045666227,0.6062254006769301,0.8463917523988801,0.6226782741531957,0.6387277116622114,0.5473880546141082,0.5847445594915963,0.5697189674665275,0.5103755567363409,0.7442876925961261,0.4270436022745657,0.4624447372490828,0.7376981078992234,0.3733002311164138,0.324402768564044,0.2993419583712588,0.38362791350334036,0.3898640584096105,0.39394747391669677,0.4315077696179269,0.42324516772719617,0.5738721732882603,0.5258658452685283,0.4681219653017835,0.4352347323361177,0.41860888018851206,0.34142627151926375,0.31404299411702,0.3082127026589169,0.4223785316539963,0.35761357075689454,0.32023394923252557,0.3843141301671533,0.34776061606194275,0.41797367906346444,0.35723023172392143,0.5131586145170061,0.39875592521512754,0.4399939238920609,0.6939300776592379,0.3888567866023827,0.49660116237465496,0.42993470960677976,0.721638990815988,0.5745403112947494,0.47944258344784213,0.41429212706839585,0.39315632890397506,0.40372158152519705,0.35855757421308737,0.4006061392503165,0.3808709010352189,0.3730817607759495,0.4030842233530352,0.4717286523518236,0.9690100409713823,1.8093195570856122,1.1478008761651626,0.6976032195063578,0.5008664600858864,0.5404606147803169,0.48259562316019766,0.5283276834872828,0.3942775371344666,0.4309415493512364,0.35578400717346836,0.38797932350841907,0.6048484349409677,0.480987755025247,0.4635776237749984,0.9173901285760077,0.8114788727364445,0.882957021720379,0.46414201457334886,0.42368579836378284,0.39524292882487255,0.4162920006248718,0.42621024051976264,0.4838453517069071,0.5002832649887716,0.8145441936451462,0.4995727927842027,0.6081144723732597,0.6230536510599326,0.41727292156475865,0.40745040883244715,0.41039407313271553,0.42829657667667925,0.45245764407830513,0.4365674980150659,0.7619511491101966,1.4532411921682138,0.8867081562248568,1.0919755164324838,1.2745527766541538,0.6941673335835931,0.6033852747857407,0.4428194363472681,0.4393781886194403,0.5476776238805587,0.37558574755794444,0.4067916733882006,0.4555532221050845,0.40310110035157687,0.4444342125657559,0.378790345644795,0.3982702381991801,0.45049535727497897,0.44499221468322797,0.4770559205909475,0.45181073301742136,0.52448525548557,0.5103734660986645,0.5928410941086663,0.6264421993496447,0.6452537579635118,0.8528178998961651,0.8135733566413604,0.9579958694116166,0.9977379102899806,0.7704580573330799,0.621165565171635,0.6792039557283519,0.6238156478914237,2.319036580850201,1.0290191085147642,1.431309607767511,0.6790764715313443,0.7301477488925033,0.7779914897744745,0.8432706507296457,0.6456888041254477,0.4818302718513987,0.7787527059498554,0.6585428519204112,0.7565367420236716,0.5731927015083341,0.954322899650339,0.5948942384659293,0.6868959238496449,0.8472004393399165,0.4608090013102739,0.5005562681685786,0.6001841177736061,0.7234376707015957,0.8212909579578511,1.0120186603599608,0.8677136898520064,0.7689620569747666,0.7936296730638805,1.0489376547117766,0.8176790536756662,0.6528416560647644,0.8251493267504381,0.8712287956852703,0.6286067640392754,0.7111086519093887,0.9164056352929737,0.7820069914562838,0.690116415050078,0.7358427910261921,0.645923908658139,0.6463981367641755,0.6132485993314432,0.6198180303471622,0.5883075511486541,0.49790314122335005,0.5369823720111001,0.492250736306169,0.5125196657364819,0.4481088551755634,0.5103993979291049,0.5916229063615994,0.584613258353779,0.533781355100584,0.5732280096953545,0.7972172754557224,0.7443685684828435,0.7624337495193557,0.8779545914889371,1.0867234672927757,1.0371086245481889,0.8312187513461088,0.6846550034319226,0.6405204330022423,0.9076600805365764,0.8028507991465454,0.8093930417347058,0.7779737991443814,0.5787639744771389,0.46103711341532005,0.3842557830802304,0.37694328913866004,0.37276641080438605,0.48092726498386035,0.7866918231556498,1.579199961271659,0.45264487230349926,0.6014257999043294,0.9589234769208593,0.776672904813878,0.5454535076874061,0.8630140254410159,1.605939334112764,3.350727359523925,4.4529053089150255,5.638853924856218],[0.6731544840570769,0.5410552262073415,0.6115844566573895,0.4942369933857951,0.45715887783608034,0.46952540266718623,0.3740180757923029,0.4495660461844971,0.35648803066202145,0.3483291082369076,0.4330377175111168,0.5480080280779799,0.46427681720831215,0.3839015677889693,0.5733522243061581,0.5429562963275877,0.4891856048519891,0.5070006975113133,0.530743032707496,0.5302419196486331,0.5494500087565447,0.5831014340467053,0.674420839477108,0.6852193320393735,0.7350873340236181,0.5644312744531704,0.4426700593744069,0.45277679017591976,0.5001548200095423,0.540952234351619,0.632004341257173,0.6809474795130498,0.8179035101906259,0.7761486954895662,0.6947102078887624,0.5864313925147618,0.6241205021966126,0.5440035419020072,0.48566419710450126,0.5409780063930036,0.4398816432915872,0.5455691761673217,0.6394634435830621,0.6150386661920226,0.7778058595315653,1.1412811491038912,1.1812423809365857,0.6567653675682247,0.7386722281659497,0.8478598170988516,0.8011016177847088,2.309542475653653,1.813245569243909,0.9730906527090212,1.0654286287450618,1.3153605284140157,1.1658299492392548,1.0243889211528554,1.3901818283153669,0.8708599928894555,0.7348441485236366,0.8723696804860511,0.7562971511248114,0.9006851782080423,0.6235775741110501,0.6537082400106049,0.8023380342467793,0.6438836887396059,0.772338285056066,0.6996091244239981,0.9403367759422496,1.3235782623800407,0.9155048404426526,0.842444684511109,0.7178394177304985,1.3840099638759775,0.6946033766684913,0.7485405879902787,0.6666610382100147,0.672143116782471,0.6742648680036071,1.657489602337984,2.060069389850781,0.9599347405548225,0.6861687689076903,0.7111963907192925,0.6069398131409041,0.70152476352375,0.598461381901337,0.7535389786225148,0.723307045906319,0.8533717642924641,0.7753158293532354,0.7660839021340016,0.6956383956699196,0.7641850914430078,0.7804634853239882,0.7315373012662146,0.7258861202169136,0.9556667339874791,0.7463966019849101,0.7517126323016855,0.6690993165766234,0.719764067287162,0.7118210565105736,0.6273987447091496,0.9033169695414796,0.5506268106802612,0.565479347227988,0.7884853587869644,0.47805471844930625,0.4264485174926948,0.3879727260225536,0.43695558004976415,0.43294043909944174,0.4276885190292405,0.44171235460610164,0.43430779089449456,0.5533369436568015,0.5252188605323538,0.4669725446917397,0.4415128326031558,0.42852754213921146,0.3871793868154601,0.3861088391643972,0.37972567506531596,0.5194983239754473,0.461950214838652,0.43443290998866296,0.48589854537791916,0.45127915938681384,0.5401444382528093,0.46282284573037363,0.6180360953478117,0.47876936095563555,0.4896732248571854,0.7893977805948637,0.4454669242631988,0.5401394302148071,0.47033785477081574,0.7388410443078615,0.5583607263254622,0.4860577280088193,0.42526624301921623,0.43021658209615793,0.4514754628632893,0.39951120825893294,0.45613623563824535,0.4453377014932386,0.45283767517685525,0.49356398749023367,0.5338925877929281,1.0608151770075809,1.6785213101839715,1.0778899803737054,0.7921350258368862,0.6138170099045231,0.6486337147741887,0.5718865712928334,0.6275323690476537,0.4658990855349214,0.4983350784247016,0.4034436305599749,0.4472561824922279,0.7136712969977403,0.4922993728614994,0.5119282534097604,0.906297932607947,0.8569386493088735,0.9529289802168294,0.5255941995455543,0.46684598539733385,0.48348056163308917,0.48547644177697297,0.509207060311389,0.5918700790971194,0.5935828789289,0.923386204402602,0.6046444634121713,0.7299192702938107,0.6371744801634893,0.5394787717302135,0.5253152527295716,0.5243145198342977,0.5188270719527994,0.5082150225943292,0.4695344847840644,0.7824347810168184,1.4396650666864226,0.9276179482139376,1.0656793427430888,1.2203399889943614,0.6873829551719521,0.615533019561168,0.5056157362657429,0.5132767913125723,0.6469503185603628,0.5024766077591737,0.5117891342808832,0.539126739451909,0.5368609187362532,0.5752668022229238,0.5083465126214317,0.531442454718381,0.5767200227645723,0.559223270954488,0.6015191464736469,0.6001835187943716,0.6401502070650139,0.6492649971077361,0.755363846728973,0.7689329439212866,0.7646956487554591,1.0476973475609843,0.9981953312621407,1.0778715295585177,1.107851176223863,0.9349230699470183,0.7779083206619924,0.808195264456226,0.7566503663740609,2.44276335277944,1.11276068014281,1.4759938767960858,0.7806606751973104,0.824507819802518,0.8676086305367889,0.9283459050642656,0.7605555761936212,0.6276985856331657,0.8850805135010474,0.7322914045713771,0.8368724055957264,0.6711194100642188,1.004823447640184,0.687765308605323,0.8032305061018932,0.8958524533323473,0.5876239851516939,0.6535916108229267,0.7150773265525183,0.8165473109226421,0.9207519256996252,1.1781453582949744,1.014284388082991,0.8641893906201928,0.904044516173208,1.13761614183645,0.9274388869916962,0.7455282419050252,0.9010352685237957,0.9190195082948651,0.6905839602164198,0.7922576211740375,0.9800516140365959,0.8247344343181388,0.7733811740722945,0.8174740499854333,0.7475239096928178,0.7570450176866778,0.7333721151399227,0.7411597479352886,0.7096491903548492,0.632651236625337,0.6727780510355889,0.6361505340338628,0.6510461367566696,0.5770291109389709,0.64415607670331,0.7089149763697001,0.7203890398142694,0.6686201106458373,0.687992464466372,0.9570141428846209,0.8740519567228208,0.9100232126963156,1.0023136933170014,1.206545719037325,1.2136415904481006,1.0337963764204758,0.847934117488602,0.8276049572495005,1.0716853508442026,0.9739285407669662,0.9653074839786101,0.9169539078340988,0.7157725179783148,0.5859196218901302,0.5018355348329456,0.4693331377809062,0.5192549379772612,0.5423364492703876,0.8051473901990978,1.5378764413024588,0.49665547186756376,0.6521283687063191,0.903462588204815,0.7910037927193875,0.5837837820659856,0.9471937909526397,1.5113644804263309,2.9209167101368836,4.034925905174095,5.278347753201637],[0.60398714937119,0.41741073903222825,0.5064189984351352,0.33901462661827486,0.37454392665358194,0.44214312087826224,0.33163754295534453,0.47281941518227244,0.380949545154417,0.3784701297561225,0.4595593734008207,0.5570628818976506,0.4778690819890413,0.40681306239076753,0.5765756870315116,0.5420226285671261,0.5064034267738179,0.5253410355619247,0.5501979305066358,0.5443151311876578,0.5936543012757786,0.6161954000579694,0.7224441517632302,0.7451270503719108,0.7241935535873999,0.579365757586001,0.45377838410241894,0.46769810354365765,0.5153095756490189,0.5476435222426415,0.6256441378709124,0.6686388467754384,0.7893142603039353,0.7379573886279509,0.6688374896462314,0.5848279426853273,0.6232821102753073,0.5442917206702974,0.4946550709003949,0.5422422060651864,0.4491319766582374,0.5325677036078634,0.581269012677235,0.6674076038051414,0.8305630609910954,1.2172170898131995,1.310577399963343,0.7368887298249641,0.8325055748215974,0.9195945113147387,0.8819559037960485,2.3984325607336525,1.9412239770680741,1.0235175069030755,1.034329880644655,1.305951497697781,1.1613320862777663,1.0449822413528262,1.3763096636322711,0.8388366772806393,0.7500257688915899,0.8419077794426781,0.7504172541862523,0.9307527614511462,0.6404279159807386,0.6582976976422162,0.8207195790590065,0.650902686705075,0.8004964367921028,0.7108114847659459,0.9485787596747282,1.3108727368499962,0.8978121563741756,0.8527757630125923,0.7268707500501671,1.4221848896636933,0.6837185632057543,0.7217032414433321,0.6370890575194724,0.6622567612650261,0.6689820960833555,1.703012367490432,2.0727313053439884,0.9068945766987877,0.6785669262287839,0.6960684797101155,0.5943567795650795,0.6876484395455226,0.5881310929301146,0.7145135245654658,0.6984628089888398,0.8396698945788706,0.7517922692560299,0.7340831564962502,0.6798288661166639,0.7353924473751184,0.7546525147890116,0.708747615716041,0.7098522596377278,0.9355297461456485,0.7365776036701879,0.7546544243034792,0.6728376314129129,0.7304085339471607,0.7202603480385952,0.6611076412223437,0.8967646159717527,0.5507397884735802,0.5440134746761914,0.8331742042501076,0.4959207858650512,0.4267490613159468,0.38977463142732816,0.4404352951630952,0.42751650867335794,0.4241568782267728,0.4569295213013609,0.409109149906193,0.6022548320761307,0.5526339082021856,0.48648190170428945,0.45502559230944023,0.4181369423554885,0.3572648352614856,0.3446452086907892,0.36002430370721067,0.4128787115955295,0.42146781821305224,0.40505103064337405,0.5124480330530263,0.4570110280858533,0.5442848499491679,0.4683522369289832,0.6319360484651723,0.5115363310824598,0.5410384719128694,0.7390552308695388,0.43247549938687857,0.4845944181935054,0.41020654686540275,0.6703319564337172,0.565463675844174,0.4808877379779247,0.43781144818888734,0.44341482105908314,0.47430122147436415,0.4153689140911133,0.47188022341001784,0.4665336624113648,0.47367768434211244,0.5184268937353578,0.5674326100702225,1.0605041375050255,1.6765193346677218,1.0947983690680958,0.793449759300867,0.6288128146592964,0.6683206749833825,0.5880105687212681,0.6446259417057038,0.45739239772902857,0.5021098569143692,0.4033259718052359,0.44036760177243517,0.6189962025831793,0.4857664217611401,0.522405764767338,0.9380483051890364,0.8771848896233656,0.9164084415930415,0.5311841441793235,0.47357427345028535,0.46187393997713233,0.4978517744879129,0.5155166115095782,0.5956934298195784,0.6009632459105654,0.9085590427970665,0.591817828273018,0.7131761893040282,0.6903471149530029,0.5480553187301399,0.53104596654857,0.5314908175732972,0.5443052175742722,0.5099967164960169,0.465678721476007,0.7674362651144402,1.5118486622881437,0.8918583334305548,1.146370490994305,1.2964454460580437,0.7599558420114321,0.6673028045588613,0.5153003488601363,0.5110401867316164,0.5977015822465098,0.46468690189105655,0.4894201822153621,0.546816328163365,0.5008110805312175,0.5615239774430779,0.469557478383454,0.4721358531343621,0.5378382401035445,0.5193766766264147,0.5392771669294902,0.5158890016860925,0.5973183665993697,0.5418757755205817,0.6368873598523545,0.6673741131704876,0.6473451580817106,0.8668221424268158,0.8533586438519833,0.9202900368118011,1.0276476856704315,0.8237596026581773,0.6775904531468343,0.7350996324196217,0.7198722800827957,2.273338618685725,1.1656921068501964,1.5595327162748225,0.7622198643072722,0.787553023515069,0.8598827271469688,0.9135862105303886,0.7261512862489385,0.6227329599738167,0.9134446671359381,0.7554627931060437,0.8945245911852471,0.708483339283929,0.9704416279166026,0.6540154171529279,0.6748241934718174,0.7914818171716145,0.5254665363036726,0.6017941352916195,0.7262488491844877,0.8376108569532884,0.9258864786692967,1.1745389450110808,1.0034901022411742,0.8788717458848206,0.9237576057993805,1.1440609838082505,0.940753792744014,0.7524370782024004,0.9309818431371654,0.970655851362282,0.6974709689701146,0.8175381983656297,1.0168559347603603,0.8468228366060928,0.7566656441323868,0.819388245978832,0.732692493586762,0.7595615696364623,0.7300319589514873,0.7250850809545789,0.7016377939603152,0.591503211738941,0.6474554483969512,0.5909597294578697,0.5925453644920747,0.5136486130471436,0.5842074287285158,0.6481883524717729,0.6185075511685233,0.5497787456059906,0.644674612544848,0.8322442088249798,0.7682903903029963,0.7801831671164641,0.8843040208360174,1.0680952984253347,1.1620202249066665,0.8856349106623184,0.7042266894274422,0.6753513936019433,0.9263616282629086,0.8604125815414816,0.866420073525371,0.8291859836095979,0.652972883638146,0.5223802601386938,0.478780605267944,0.44076018464888556,0.47070268683505995,0.5588795047596589,0.8369593326798576,1.561315897189374,0.53421263871136,0.6370763708414088,0.9126452603393218,0.8731873456693484,0.5438498820253514,0.8592948532667908,1.3580167487226336,2.751392988187374,3.6330832908967934,4.734580454937377],[0.7025088191492834,0.5327013755703398,0.6305075664922256,0.41886087682675155,0.43752437160554714,0.4793477210946926,0.3599806825150487,0.5000251727763575,0.39483756578867446,0.3930690826419407,0.46288469322674586,0.5563750141327152,0.49649175613845065,0.42176418030329554,0.5996716474816878,0.5656363195233476,0.5156096998765265,0.5456253501358406,0.5682986574152734,0.564973550091797,0.5931534583490378,0.613119214276786,0.7160019539173433,0.7397850004682207,0.7419694868796621,0.5880048893337991,0.4630619020419813,0.47652506900384345,0.5362508833665501,0.5694370099765863,0.6504607671319558,0.7005783770706188,0.8114653657787598,0.7785751884307672,0.7088486686309613,0.6093431228200865,0.6595724856859687,0.5748414378174915,0.5199098619332827,0.5967507513238293,0.4643328675905379,0.554508572430495,0.641760697649861,0.638648903935211,0.7877825174129502,1.162641326742117,1.2248627489886932,0.6924129460078037,0.7717760522961745,0.8593786747772029,0.843863644373312,2.3545476316234772,1.8429415719573312,1.007720499608306,1.0854914867025538,1.3344164867152932,1.1830785923488945,1.0543624013700523,1.412206599673116,0.899910314331746,0.7522411662209457,0.8872618465833375,0.7783252717282705,0.9197573412475831,0.652051698027237,0.6840635978290123,0.8387031213507582,0.6701440434965983,0.8027855793207654,0.7270016008524106,0.960825860904091,1.3379497208309052,0.9179666869500672,0.883778336985591,0.7415735831223971,1.4302231750870678,0.7139072913788138,0.768107778002259,0.6901288754792304,0.7048403426823967,0.6873121083433241,1.62946136263571,2.0458913113341914,1.034520465373506,0.741101975598509,0.7601782018414963,0.6304145167877694,0.7253567630176878,0.6226046922690097,0.7668001766026931,0.7331536268754834,0.8562957691104434,0.7859301791167467,0.76539068442152,0.7018627744630516,0.762958536262424,0.7905206745737455,0.7224774672634932,0.7230215838779603,0.9601721975109795,0.7585867716574785,0.8013307590613002,0.7148858985238629,0.7737230660637513,0.7737718180069485,0.7002759623736377,0.9559766345866989,0.5996696862118428,0.5707538933727583,0.8285285531168033,0.5229120213742691,0.45051546674003023,0.41060380353288417,0.4505977369945164,0.4319061898369783,0.4210482369929774,0.4512822405053851,0.4150953806021832,0.5939361976123411,0.5564187411128152,0.5014903014255043,0.4632919123969635,0.41230260416702214,0.35316143538125144,0.350170573143616,0.37002696622920855,0.444141351468716,0.44041716782645,0.45255032531045236,0.5421089478872174,0.5033391804608057,0.6280613537537256,0.5181467262566886,0.6940770726686438,0.531461221168926,0.5177925462037285,0.7004702572730049,0.42142476835447923,0.49795310754353406,0.4110716907099776,0.662267769768397,0.5502702655628158,0.4904060112283282,0.43194572116861313,0.44808677295937105,0.4850858456554953,0.4184222633647862,0.48635811717525157,0.4723454473510888,0.475828980909951,0.5579883895657677,0.5858022581623744,1.0969166139484334,1.5495607719977815,1.0278614825809305,0.8241693007642673,0.6522621218007714,0.7057202736974411,0.6086420115897311,0.701775250126557,0.49036892975260526,0.5423972888854277,0.4131623746242583,0.4791783071326182,0.6718848384966863,0.4924248193063916,0.5027426729707264,0.8601254449264717,0.8291754940439898,0.8769957590995888,0.5147027192141858,0.4694790361682152,0.49008335441919215,0.5381448201728986,0.5693570942125007,0.6475464669867973,0.6446974988221833,0.9616548654572254,0.6547601255827071,0.79566291318197,0.6749456686815875,0.5969444107704028,0.5939018947853939,0.5863087332417105,0.5830076222928459,0.5441396975381024,0.4880160847632383,0.7677764444233293,1.4494035306687267,0.882819535384159,1.1495955836565763,1.258781145130653,0.7244125101254155,0.6482230702898324,0.541016995880965,0.5410696103721998,0.6093915273123276,0.5373615091363753,0.5498015369964104,0.6325304134404194,0.6067950461033571,0.6705809841385013,0.5597428786334753,0.5748227301758843,0.6436770583520901,0.6140184043919156,0.6339934699408091,0.6374001086864752,0.7050068280307805,0.6597483697268974,0.7689142222476013,0.8241718565003247,0.7884073807701442,1.0232296053054524,1.0249334260941154,1.0377965908026372,1.1415869238519272,0.9706067034807262,0.8432844961140967,0.8954709603562143,0.8645858613003918,2.302899818969908,1.28114021525445,1.6763984564254082,0.8737359325850977,0.8852494589671414,0.9155653755711084,1.005797522101636,0.8119893777395457,0.7671269778520066,1.0419359461384932,0.8571708123399236,0.9974299920230961,0.831308541283307,1.1091369755802267,0.7510451306512972,0.7399254363992998,0.821635689775271,0.6268924899446507,0.6866054093769858,0.7966073376355466,0.9486192382008481,1.0107491229023977,1.278780357556865,1.0808727573298127,0.9426763530333084,0.997560670902778,1.1804189392958515,1.0062664274916966,0.8220584794736827,0.9918481577539907,1.00025137523929,0.7709768681655763,0.9187979445626581,1.1022118879686593,0.9243720127923303,0.8878688390426333,0.9529503268575067,0.8647512628327455,0.891944770181663,0.8448747351604603,0.8418451758964118,0.851844497932134,0.7263817169800382,0.7884011405668456,0.7495577563392383,0.7549272250622814,0.6524903325566599,0.7305573510472,0.7902543699187173,0.74549216114405,0.6438950399531671,0.7899035668142046,0.8964881609778707,0.8585739802252201,0.8726730639737195,0.9706548171143714,1.129273545501438,1.2840785195635709,0.9917086196086172,0.820269840991831,0.8076293589417155,1.0351433440132392,0.9592894066836646,0.952472541056556,0.9046928119268451,0.7451852725754794,0.6012114493862041,0.5393226001484505,0.47680643660047545,0.5514072855721903,0.5936779068142966,0.8737948762817745,1.4490896298059617,0.5554598724695805,0.7048518026914521,0.898328558210546,0.8058109907239507,0.6105247955150718,0.9885388257867019,1.3926212191735194,2.4533937654920326,3.3299273752673915,4.547408403280806],[0.7090858631118545,0.577457871868825,0.7124083471342743,0.5470275678945515,0.5914914196204455,0.6164833931432954,0.562193142644522,0.6529937199316774,0.5900554345945924,0.5878267295949318,0.6108628099071866,0.6733696651877756,0.6306761709913606,0.5861621681169668,0.6904573931475392,0.656791962162447,0.6309188219368862,0.6415907348542659,0.6551505196888076,0.6491584175660542,0.6691199032224782,0.7051155203071622,0.7704214684758137,0.83828092732531,0.8378886387143762,0.7006607383715009,0.5906992374129437,0.6076095721125717,0.6323794074083091,0.6613810638771319,0.7050868442508594,0.7671042498727825,0.8421447859037137,0.8055255763368109,0.7577245151264078,0.6764162430420815,0.7410358331338235,0.6584143718866123,0.6295115218474758,0.6480132160789542,0.5974090459908644,0.6722457401906734,0.7274547930651772,0.7264416017450581,0.9295659421453336,1.2808124516419033,1.380734204749947,0.78792952334365,0.8801536378682012,0.9958617852790523,0.935735266718795,2.298630217757109,1.8819572209648603,1.0262467815251461,1.2075998482471637,1.365222192002526,1.2206129354782325,1.091781928041666,1.4474658173905934,0.9483025281597539,0.7814719794831215,0.9161016689077847,0.7940306635666567,0.9261847009001248,0.702236561030174,0.7354343026365824,0.9077619890480504,0.7312780894671032,0.8557978109077544,0.7559079802325828,0.9887830074090243,1.288472870976755,0.9164505080334117,0.9121103262185456,0.7742887017870423,1.4214604880348913,0.7531252758573076,0.7900986692021454,0.737560278565245,0.7639604363724893,0.7411104276485293,1.6651941192655748,2.021876126502066,1.0411999951874122,0.8282415346109556,0.8546936127582487,0.7162634520193684,0.7899346456044589,0.6897570918171221,0.8045192609001939,0.7646229940714309,0.8565852244994139,0.7950116899791365,0.7732545364222593,0.7336217221503464,0.7854043508215502,0.8206319802825477,0.7636446494339817,0.7931299870778303,1.037000604697679,0.828701645858344,0.8919946851796525,0.8087931109728108,0.868973437059312,0.8820408469348091,0.8238092543672774,1.0457918842335883,0.7473172033429897,0.7264604493792758,0.9240397679941764,0.6840182922631689,0.626667901827975,0.5940189553392199,0.6193097548027781,0.5917097644690589,0.5811260368007732,0.6312059082771595,0.6309058823879319,0.7084971550821754,0.6357372396836728,0.6489341245964346,0.6167252993197179,0.6072579616677373,0.5531861412905982,0.5480243073256158,0.5601171248313709,0.6416628488819084,0.6500373880065217,0.6406999990681682,0.7070116705804076,0.6709255858957479,0.7708671339257187,0.6807422067600817,0.8310798019708143,0.667698845264948,0.681684122090431,0.8242651746033378,0.6498541373591569,0.7106716919280981,0.6264639719437612,0.9048518309761896,0.7691047282412102,0.6639873321553148,0.6271169016717418,0.59540132821625,0.5984540164896845,0.5809333575211831,0.6276641538872034,0.6046312663647463,0.6012952242990086,0.7120379598225525,0.7162594079581558,1.1759021560073915,1.576088683556054,1.1196272960622906,0.9163127933674972,0.7459968722338358,0.8000321109657446,0.7138776052415332,0.7782198919054674,0.6393925883021415,0.6598016710025838,0.5780754787034381,0.6061259618240852,0.865179500292734,0.6624855061059695,0.7420471263962839,1.137774013754935,1.059525940499353,1.107403711251404,0.6981774940047996,0.6192084435184975,0.6787106511358866,0.6653832133439668,0.674149887007769,0.7500931590227883,0.7258659332572348,1.0155126229609928,0.7348181873385266,0.8675595623453706,0.7547828113922408,0.7296374660742324,0.7199735238551133,0.701363308975481,0.7141059529577121,0.6663723290112539,0.6572647543298198,0.9532536831946601,1.5692856612297403,1.1440311013558029,1.285577757115737,1.2103871132763557,0.860131558027881,0.8058683126778519,0.7003049593065516,0.7111250003695141,0.7417668727494096,0.6739949861017226,0.6924982168957574,0.7706041275525074,0.7375417981971367,0.7918713809918636,0.7170428867642518,0.7030280770393807,0.7339564830040622,0.7177493950937425,0.7350887067694765,0.7102950782043199,0.7581187411234214,0.7121919912831708,0.7953014411171434,0.8166945660329465,0.7729634128967188,0.9743346480758007,0.9877219960472804,1.0227592263563547,1.1270068583897457,1.0003045779395858,0.8638239058980601,0.9005643877237824,0.8867942885402459,2.1930452467138344,1.372519044168484,1.7182418175806278,0.9037705570690114,0.9001000731567068,0.9656479528185598,1.033596028763138,0.8501140662763345,0.8357573651066877,1.0713996040564349,0.9257859302755616,1.1118458574797108,0.9194614975580415,1.084636772370431,0.8822163147564298,0.8472021440184806,0.9219913511202634,0.7379022450079823,0.8020523221121503,0.8811857799044348,1.0107418256624905,1.0549665317593648,1.3331285420621644,1.1597475012880212,0.9926487778222612,1.0559411295372139,1.207364743409599,1.0790335182916722,0.8855175081536778,1.0419115730873583,1.055388884018342,0.8255558470930069,0.9461606308500019,1.110958002041043,0.9293219696818265,0.8910785333205777,0.9712634912296402,0.8810960055119605,0.9221125757370563,0.8882643940308179,0.8858490588593729,0.8809235983896871,0.7771131028810822,0.8250497331907947,0.8013329350413597,0.8055988232339819,0.7142013149767054,0.7956031539046605,0.8630306368673064,0.8254224227753991,0.7634981226791615,0.8524897203598607,1.0235420966119362,0.9614705953510246,0.9909959925945634,1.0983944316441487,1.1984124951320527,1.3464407731881254,1.0791786554183662,0.8923069936939608,0.8706018451108654,1.097919837033136,1.0581352811686486,1.0626971048262628,1.022132951774415,0.8497316411465923,0.7543195575320811,0.6992908714382613,0.6587586702612356,0.7167342692950879,0.731074225785328,0.9056049335726251,1.4925071304626694,0.7067454817378795,0.7574276628328162,0.9001356604355035,0.9655352296222074,0.6715993709461114,0.9787842522827159,1.2025766239644957,2.105744036083232,2.928468402575741,4.137127535273735],[0.8906396068009103,0.7412670498667564,0.8473749072367424,0.6235494409637666,0.656176023298921,0.6776315281463565,0.5684900861384745,0.7035287493892364,0.5895167312014427,0.5799555121691612,0.6280500480179617,0.7413963034424413,0.6810183424444193,0.5816707579069539,0.7621729371324087,0.736975204601598,0.669229734682797,0.6959763697229314,0.6855411058552426,0.7104395518106619,0.7226207745459298,0.763295254954026,0.8255006195455641,0.8225812096143222,0.851080507653169,0.6980870117650428,0.6082394258404387,0.6183386329768253,0.70104715859769,0.7454533691699444,0.8201991057557012,0.8812614372290053,0.9657205708698469,0.9446848013242998,0.8810414089606059,0.7746493250279664,0.8535195212103756,0.7440745123910578,0.7002431710061233,0.7716704225038343,0.6297442708279436,0.7035999146020526,0.8039074631998345,0.7541931950544595,0.8487313359733494,1.1780464754543631,1.2353100908804793,0.7957401685384592,0.8818005257506147,0.9598938269514996,0.945454098184181,2.3301596884385614,1.8176704095548073,1.0757940115663287,1.250301681877318,1.4197027336265038,1.2427968153691455,1.1288891372089673,1.5154514109107338,1.0500410132347617,0.8811948468618709,1.0227596927494784,0.9194879981379374,1.0392292787644342,0.7957410673371141,0.8364125729757865,0.940400705714393,0.8059244931422234,0.8704881791789586,0.8387712593155514,1.03589052072871,1.4016680316129326,1.0214822539227417,0.9852111113636147,0.8865759140200392,1.5159906566980772,0.8634652362671864,0.9407635416951164,0.8679296864933266,0.8807278655056907,0.8750530087064697,1.6721354043152712,2.071739804892058,1.2059221416172976,0.9257232810153746,0.960054609416211,0.8187604036989109,0.9075559663891876,0.8014454633184712,0.9348415722173053,0.8990351031269646,0.9980651022620662,0.9448492941768879,0.9344978974724063,0.874678822391684,0.9473146226149094,0.9259295323537466,0.8880419321887073,0.8987154894681539,1.1335377071073571,0.9541817002561163,1.0021727041469555,0.9245998412560457,0.9872504949771399,0.9993060293289923,0.9262941783970858,1.1569403702378465,0.8414845970254197,0.798562132284032,0.9831624926895394,0.748141127069345,0.6688419483622666,0.624774874123335,0.6262362549547499,0.5769367792395216,0.5555882259508775,0.5954625732790126,0.5448961683481831,0.6848339835194315,0.6606714178673478,0.6164133867671958,0.5906930901626489,0.519144599398147,0.48624442203234924,0.5079245349655762,0.553337232326557,0.6758213346864608,0.6561540440545005,0.6833317825697,0.7717427484915652,0.7399270545989458,0.8684812391585064,0.7487436425055924,0.9027807189952028,0.7247592314140566,0.6810090057716218,0.8112438216237479,0.5967368276465,0.6483680163865138,0.56502618533604,0.7701829368321419,0.6528127196452291,0.6161957507267154,0.5763656400753555,0.5969429498603844,0.6438287738156185,0.5942819851333889,0.674785921894441,0.6656704010116966,0.6617176630468787,0.7916166241504435,0.7972968778057409,1.258837914382227,1.5328739481611526,1.1525133235584784,1.004739243314629,0.8412769138871451,0.9109871403650809,0.8167849969468429,0.8980234057227899,0.6939587245724878,0.7267207092136097,0.5874317666413555,0.6776523683779732,0.8629593002814662,0.6250179542758052,0.6826334945057009,0.9568928721050393,0.9369121889899117,0.9803133441421666,0.6623420442386647,0.5897603569587668,0.6856619356756678,0.7295193658806269,0.7734496402114309,0.8715531039437269,0.8429802066636971,1.1451730100362556,0.8698738753701643,0.993829722501343,0.8224653807138618,0.8306540529412926,0.8256807170427398,0.8114168644840699,0.783975874365576,0.7376852159093407,0.68729196436623,0.8961325039942032,1.4766358686372152,1.0516019136239199,1.2316222066002525,1.1908857841988347,0.8356680700662356,0.786037077498137,0.7433161177387562,0.7750740588834045,0.7954319247845012,0.7975402310122569,0.7982682659390624,0.8679787047476303,0.8837664568979509,0.9349515019173366,0.8232120984059779,0.8387295589626573,0.8899200551153084,0.8545415667642455,0.8751957743970429,0.8966064285917146,0.9350433787060365,0.8889366223116635,1.0087002180572906,1.0552585444989424,0.9922858149559223,1.2136167727671454,1.2593976695243623,1.2414016330788056,1.34711975337041,1.2054735015156457,1.0886545818448206,1.1370543243313749,1.117888746192464,2.333684387612995,1.5537065772002363,1.8604802193833374,1.1092331999924787,1.0762711869901895,1.08550296493647,1.178555398569818,1.0155926899223093,1.0198409685369825,1.2342358288583934,1.0648812501892848,1.219450433848044,1.057772432613034,1.2506011881371555,1.0134824017869692,0.9892527287980134,1.0494553879764301,0.8936305306522591,0.9343272519066442,1.0227523163153367,1.1677071907913346,1.2050917447447356,1.486736237947441,1.3028799479887043,1.1279644325960823,1.2006165024853652,1.339130830132946,1.2096090239618023,1.0368613616321616,1.1751068453992375,1.1627451782625902,0.973102851923014,1.1110572257271962,1.2355987855156252,1.0764681038026365,1.0962810843835278,1.1675383657242882,1.0943569327925609,1.1231611681543119,1.0744242611944226,1.0712391871288116,1.0919321220508889,0.9701450095599439,1.0218375844720218,1.0149049541335011,1.0158982321013907,0.9122977466730194,0.9897687933467462,1.0515122940628199,1.0071603430255784,0.929753835617645,1.0430614120842634,1.1753252028234389,1.1106232273469094,1.1187003028032476,1.223968337470863,1.3418475000434038,1.5007393523622783,1.242808718767806,1.0586302301167636,1.0434325793392238,1.243113459893427,1.1841219474718254,1.1756013817478796,1.0869775152901544,0.978675278895156,0.8345268669826782,0.7810759597075084,0.7022578833507788,0.8028077816470025,0.8138494225887737,1.012976541853769,1.4382770001515721,0.772808560171141,0.8702328047519904,0.9816843846755463,0.9882118734100287,0.7752614470263358,1.1499284426898724,1.3123744130614479,1.9123815308712167,2.73421048758079,4.034232251596452],[0.9639110501857349,0.8337788852013025,0.937501462356316,0.6926956135801355,0.7418718270431942,0.7339309323149121,0.6519235149249395,0.7832765820119241,0.6981760913947418,0.6812589024482085,0.7617663889898443,0.9198786732346597,0.8245700440459802,0.6904646396651493,0.8993686925096404,0.8957679556565739,0.8035158713817909,0.8328015727389065,0.804120517171073,0.8367545330294093,0.8289242824462457,0.8645671637154876,0.8888389075866429,0.9117290303596037,0.9961440588980331,0.8107871405837288,0.7321596253955587,0.7464430344270743,0.8379866042582402,0.9056351190473205,0.9661506488087023,1.0292483334021683,1.1386083879731546,1.1104525511927696,1.0578509360174504,0.9340852846259822,1.018727502590655,0.8841662417853031,0.8194134321685247,0.9133106846825355,0.7550163786224908,0.8270748963420306,0.9180006088771241,0.8578781825166628,0.9254566307773668,1.2697139891150049,1.265849627781633,0.8830111272668723,0.9482106066015584,1.012022440020069,1.0518248857056982,2.3453190324641002,1.8328518544430954,1.1491736824482384,1.353751368182767,1.480449728699344,1.2596841642597292,1.155967903603097,1.5419861261838466,1.1477687472449416,1.019700137250949,1.154088189724706,1.0634124794529043,1.1540768736641809,0.931543654626913,0.9598745624487215,1.043683226770139,0.9494117436551669,0.9777529359589856,0.9594235283709694,1.1402081542114286,1.4380666501456927,1.1493946876633354,1.077129334809357,1.0505817089756697,1.6066043916158903,1.0284112743402067,1.1226496948059301,1.0305667651842625,1.0184467133335753,1.0208826531863548,1.757515075480356,2.143836657043122,1.3144816233920247,1.0707131216449945,1.0951958423965185,0.969223188143979,1.0703675768630017,0.9577807100877171,1.1092663774282843,1.0728737382886047,1.1488349729007592,1.1090583900713495,1.1107248496402315,1.0313705307016579,1.109197210985756,1.0551064882322758,1.0648804314391953,1.085062687609143,1.2844091775630868,1.138673175404895,1.159949122367668,1.0962676128110724,1.1451741490679923,1.1588854338296113,1.0456571198508653,1.31298424904513,0.957526040780757,0.8969463470403204,1.0809557851552396,0.8459905766321705,0.7875127501177721,0.7309954867119631,0.7137360506840199,0.6976970856644255,0.6396026955251416,0.7102934987690674,0.6002395224656144,0.752571841836063,0.7590752911721683,0.6936119717046513,0.668922011026324,0.579294335708002,0.5665849091436402,0.5724529599088943,0.6132988019847034,0.7188428466420425,0.74330840247772,0.779569575328131,0.8607070032751165,0.8186884839800153,0.9818451214792386,0.8607632570965195,1.0347246510142305,0.8446521733938511,0.7829050057922804,0.8434591778579773,0.6309849344377632,0.671177137059302,0.6300022032264223,0.7797241107861641,0.6917493083150997,0.6770707718167883,0.6465216427360257,0.7174534097782047,0.7697529115494623,0.7098933089956974,0.8132969262618931,0.8110054190918607,0.8076026416318952,0.9096826195078243,0.9289550833127765,1.3492260536576304,1.5299644486071338,1.2688364712219853,1.1577115166925,1.0177797828086574,1.0580512829693158,0.9805823697838053,1.0429922841074937,0.8284092879303919,0.8627991203733653,0.7142985211796431,0.7983592678555682,0.9450534390981786,0.7059341729973736,0.7726745318043163,0.9602674394834342,0.988970729058796,0.9893491575107151,0.761123754607657,0.6813073163877512,0.790546408026627,0.8747988448478906,0.9305923513051035,1.0199613948428587,1.0022435677047192,1.2519058233804938,1.0120162221619315,1.135240439999787,0.9489812599247256,0.9731100590909291,0.9748583169533904,0.948841273529026,0.907962416711772,0.8690798671430442,0.7949151509922454,0.9610461467340724,1.4924781835912178,1.1150338861205389,1.2952597496765796,1.2489916580684568,0.919915735396953,0.8946541490028224,0.8506282298685368,0.8454320698443263,0.8496723365026181,0.872522301831918,0.868161459324812,0.9564662482088638,0.9656094267771733,1.0294520634513604,0.9146023243238135,0.914530450355809,0.9681656110659221,0.9308395292360432,0.9313007257886479,0.9692904740156862,1.0024521231381656,0.9588151706608816,1.0828897460001972,1.130120372357175,1.0592613478887176,1.3006555411788547,1.3667508737686913,1.3307732800761123,1.4259081100361786,1.3089923501415082,1.1830019685854603,1.2199022858079662,1.1888255949114146,2.3204308924915007,1.6094610090090857,1.9080744254830873,1.1579273717277385,1.1255637204824622,1.13424336153656,1.2336441167376637,1.0753253324886143,1.1511479687562862,1.3654068195626543,1.1711746885244063,1.3455603173821713,1.1949110057703272,1.3885977457878451,1.0986680616892976,1.0134971467779317,1.063829896103867,0.972871865684388,1.033484395875421,1.1137268486468508,1.2613440295942473,1.2814335199765117,1.583492859516539,1.3931228827825808,1.2043953629783195,1.2540364088499525,1.4148705615310049,1.3038424899911938,1.1110186160215714,1.2502052493197588,1.2411740451386741,1.0373712817103942,1.1721344524374735,1.2917911467075684,1.1291087874465269,1.1448217682854682,1.2158824601526117,1.1473737230007033,1.180071418478085,1.1446943551744675,1.1276321469558388,1.1561997409469669,1.0474174802177307,1.1079546969352068,1.0954768200047182,1.099880456278511,0.9973860367070219,1.0833119186484086,1.1348275871446496,1.0824794331015364,0.9879358781532067,1.1467142484653157,1.2170130015569616,1.1820880900665,1.197436645175447,1.3270814338769719,1.415678617116499,1.6038488955461443,1.3346356089514952,1.1385463020387667,1.1242179035215865,1.3299633809052263,1.2518611021302373,1.2403751365197369,1.1612282212245995,1.0402032685977725,0.9077562060533677,0.8464472812355777,0.7740000810812643,0.8817462630881742,0.9164772983684875,1.0848418623416627,1.4285481093155654,0.8770353693753353,0.9385662399263102,1.0125568179634687,1.060186958422425,0.8321097446804467,1.2129516378687828,1.2772566241003345,1.7484689579278945,2.5273719038913374,3.868151018200768],[0.8508644044090359,0.7148701565256137,0.8163992466090592,0.6250232254338901,0.6550361898650339,0.6639807242902689,0.5646788854896089,0.672695171003365,0.5460430226821767,0.5089981100314008,0.5352756641685521,0.6474279694268331,0.5741444922891694,0.4827896031039286,0.620855981051494,0.6167468975155171,0.5606192298990622,0.5591949566525546,0.571828095601365,0.5893081288531615,0.6010062704535267,0.6459046296255206,0.7071002599028703,0.7379679507320097,0.8142323677204271,0.6173993660642709,0.5284371528705115,0.5426116338617893,0.5913010352687623,0.638294905066496,0.6720477147839795,0.7621000581271125,0.8632814458232585,0.8177978865061476,0.7642576671623647,0.656934068263822,0.7329101764602848,0.639728515843196,0.6145435566832036,0.6907767730995558,0.5628855249826558,0.6076086535962435,0.6702455530729732,0.7576484306370265,0.8439395960717764,1.225543111296101,1.2866117776364834,0.8266904434827147,0.8879436221785406,0.989578601748952,0.9980022574823112,2.3685081843361058,1.8386298439186515,1.0423495103747649,1.195924224819735,1.3671163721857298,1.1579488603911925,1.0191416037408538,1.4073830344502534,0.9195069268894752,0.7889201982776518,0.9142656394578416,0.784527514082785,0.9099124122837947,0.6668431126916554,0.6967644148174846,0.8348515818759373,0.6753360832138505,0.7997150581607787,0.7340644346394111,0.9609174211830067,1.3031099051258213,0.904887645785998,0.8483594608158035,0.7303612340903254,1.3777924471665466,0.7218537846022617,0.7704902159628899,0.7168537550779549,0.7314667149617514,0.739713299028522,1.7233468455984726,2.0814617555824615,1.0439084620500918,0.8204546410159447,0.8532710813682314,0.6875869511752613,0.7930535881525383,0.6546307878540394,0.8110046037554905,0.754652369474083,0.8591599625221417,0.7843911912292282,0.7840479990873969,0.7253011271977678,0.7713057688839225,0.7973868301257908,0.7771163837120613,0.7991851854861719,1.0573295120999726,0.8547008207680207,0.9222526376266452,0.8349852758283385,0.91005912638974,0.9265388780396696,0.8642858764813078,1.1153673985430033,0.7779865262512518,0.7556904087377044,0.9606814242793353,0.7168321131012936,0.6429689091008314,0.6063935189843294,0.6072787280592794,0.5426565257604224,0.5252851213973853,0.5060560965477146,0.4793034961621795,0.6119518410431047,0.588722671538488,0.5337840867926477,0.4999606268703657,0.4937236751806679,0.4856472471428615,0.5128395640990894,0.5720147352349608,0.6344737619376762,0.6302713765416353,0.6656665610393951,0.7254293189740976,0.7217005659264247,0.8314944153098884,0.722558389809274,0.8488043590255927,0.7203791833018459,0.68817044516831,0.8323529886895193,0.6004397132462426,0.6079193197772473,0.5286812431042877,0.6928185842504413,0.5970786895095714,0.5595385572185188,0.5169667279012201,0.5479896684882154,0.578502068889179,0.5318023938280526,0.6050252629134623,0.6235982835436158,0.6244595809182493,0.7166672440007299,0.7292884417740356,1.1679193917432824,1.4871932569091608,1.0906876436447868,0.924473411060609,0.7706237188150002,0.8312743769701076,0.718640271811372,0.8280797560592745,0.6351220825503988,0.6503388337675228,0.5503623259522691,0.5968577929635336,0.7518965561850564,0.638196095234594,0.6831937948416988,0.9635210502272835,0.991992977159491,0.994024297779309,0.6939727635496162,0.6367097932095577,0.6388926664491744,0.6856969158896388,0.7036237310975396,0.7885908808475723,0.7520150914801117,1.01912002653939,0.760903853849345,0.8947378042516074,0.8009422615113948,0.7557527976909915,0.7657827936425152,0.7656451191473937,0.7435411440034867,0.6956452460162807,0.6061587445988122,0.8557139004675459,1.5092033011150894,0.9902871524726428,1.241709524624364,1.2628671110034324,0.861753181530604,0.8095089837453789,0.7256722639649639,0.7499603932295021,0.797892521577241,0.7564240087046786,0.7664426968997193,0.8315413875756473,0.8160268707489641,0.8797330424695258,0.7767808484464258,0.7854804156491094,0.8318143983149769,0.8073287180198022,0.8359509253759874,0.8316478003596254,0.870793549426932,0.8314387395410043,0.9326536347443035,0.9594980041731505,0.9062235880338869,1.1351295648129447,1.1558570195158084,1.1562126087563027,1.2423269613695453,1.1334741518231335,1.0099174017979136,1.0363856996735454,1.0173285121659026,2.2128059794771158,1.4463281767529084,1.7764769041091863,0.9912683693115365,0.9848577860902276,1.0479843824867479,1.1154291024437595,0.9444369650057444,0.9710547974822245,1.2132482032817131,1.023743373903568,1.1979811991830038,1.0438101180557464,1.2193261238263335,0.9646181766248265,0.9077386913238169,0.94887240907969,0.8349942532134678,0.8750642868687811,0.9815534600860146,1.1082520808838991,1.1423380015324676,1.4221186485371045,1.2227256670340034,1.085196121972343,1.160055164556897,1.3115112932186166,1.1794394651496516,0.9919331193143431,1.147837044900306,1.1643480361630585,0.929698033429998,1.0652368160058798,1.2304244397796515,1.0401957347653585,0.9961233672283636,1.0645054252236175,0.9938771835049608,1.0250845990512383,1.0017901862149314,0.9841623022164546,0.9892697808285552,0.8994867381325004,0.9464671790523879,0.9247596054460069,0.9325664208715168,0.851629997924282,0.9216851371092598,0.9833352728883906,0.9493026176190363,0.8531723775932822,1.0072910830460706,1.0793915549862743,1.0674968735692187,1.0764321837076216,1.181505934910636,1.2954041636773095,1.4724108787472983,1.2009315886273288,1.0025508732248873,1.0021815900179432,1.2318654072043898,1.1674875540293401,1.159259210949585,1.0966572362062044,0.9514860881388898,0.8094881135850457,0.7600182199474211,0.691238425692937,0.765603489846432,0.7923272306743622,0.9961349358281575,1.4448938755420233,0.7561095370899094,0.8351487057044292,0.9763625684670677,0.9844678669299964,0.7240548853803459,1.0474888905840571,1.1742366989792656,1.9037327265097712,2.695214849899093,3.9183496803660556],[0.6706435850346383,0.5201397523351445,0.6573614393204112,0.4456965921205848,0.4987268472641805,0.5123157437550477,0.4430157053383405,0.5858278179572394,0.48377500163020143,0.4714010019712274,0.5263987519745564,0.6379286930564397,0.5589357586454627,0.4745662094775345,0.6321837989249431,0.6177661730978193,0.5624852344147551,0.5655801125417249,0.57668380153314,0.5937128500868357,0.5964274257953825,0.6439673458473888,0.704356568646054,0.7328092530856654,0.8314139010431273,0.619298650623549,0.5123417557403899,0.5300949958516006,0.5902224456765739,0.6281541439674867,0.6708339116389073,0.7468212344825264,0.8348130986343107,0.7950379624978439,0.7473366574520179,0.648310324537168,0.7144919035727061,0.6241217757578695,0.5883817097862765,0.656577098624108,0.5347604816376648,0.6072599633032179,0.6857001732852446,0.7132321545378975,0.8055617380518788,1.1673225604170574,1.221014445046793,0.7571255253503009,0.8209064556218079,0.9152461414358447,0.9291688476573275,2.318900231803187,1.794660138860487,0.9988151975097245,1.1741778545291908,1.3439014419254012,1.1352977184852902,0.9954106366224728,1.3954986650893042,0.9191138163888882,0.7975415738117574,0.9255233016916846,0.7811612717929576,0.9014180981130091,0.6684891239659018,0.7048308219262601,0.8351361557189249,0.6810140586262177,0.7912016800344309,0.7381414384679695,0.959842245142913,1.295110090496496,0.9170040095171689,0.8436241259799071,0.7294194485706711,1.3419935615786274,0.7201690072570941,0.7568027358871815,0.7071900887084126,0.7169722759029359,0.7111649774844186,1.697387777825454,2.0663729671456403,1.0188105528612732,0.794567878717204,0.8320431104302481,0.6761337737120037,0.7658514226155235,0.6500164865956062,0.7903523588792318,0.7506940812263979,0.8324673137576531,0.77045681800693,0.7649226374908512,0.7189250447058767,0.7656745975634598,0.7979608608338516,0.7588887753514689,0.7800289347636643,1.0142100109315593,0.8180608398492171,0.8650496620026503,0.7808806581569648,0.8450460545091696,0.8536238928226936,0.7744524369620157,1.0253177643003129,0.6701771336038684,0.646358327166733,0.8832453200577964,0.6017312549700999,0.5418163903477735,0.5062634355980253,0.5276615426806315,0.4995703572055491,0.4742593674437194,0.4977599923452329,0.44193914573360793,0.5914474444389342,0.5739438740955142,0.5236260990977095,0.48625261001423653,0.43787660620872315,0.41195087599692287,0.4267481460183321,0.45106004063813393,0.5156555767288676,0.522557552254949,0.5310028511136082,0.6129215010427025,0.5677928811488516,0.6921484100279396,0.5877964153944265,0.7543263595483339,0.602426248183334,0.5763657538497802,0.7517069854616955,0.4830047550405843,0.5447415722629216,0.4644505040693846,0.6740095266742531,0.5457681916236393,0.523879222498497,0.4716118765944569,0.5102270820854161,0.5477372498986016,0.4889771345000325,0.56581138300159,0.5642907321532625,0.5704038142600489,0.6424964653606857,0.673209748353833,1.1192548805110676,1.4961935989566768,1.0606490236889747,0.8717044753184452,0.7320795997780188,0.7766577707101706,0.6822746128140543,0.7757683986066868,0.5699297190987674,0.6107543113438768,0.4893465099305087,0.5539796027210505,0.7433728767440935,0.5366729139123936,0.5849767189224407,0.8709935765418627,0.8748086593940985,0.9074068542715186,0.5803529155865979,0.5220312229642,0.5633397520280674,0.6115291052263853,0.6474826041242322,0.7288498104780687,0.7103836931533678,0.9805565290060094,0.7152901076735753,0.8437912215033188,0.7321726572140707,0.6772846082851983,0.6725033868649183,0.6647935907392066,0.658542403271798,0.622895676045443,0.5540056581572788,0.8218917329493204,1.473266603673347,0.9604773875380747,1.1881847543884292,1.2381700495166492,0.7774909749826233,0.7085295122490837,0.6000535449155856,0.6064440484643617,0.6680410760166722,0.5920142330444825,0.586258039637242,0.6719741749742121,0.6421428579374877,0.714209417340446,0.6097925604762761,0.5974872459761044,0.6520519591521694,0.6278608587752638,0.6434953641280323,0.6300785998881732,0.6950250473252196,0.646886660849123,0.7505289724414497,0.789716178671557,0.751332370654187,1.0138797330417606,1.009578963026921,1.0239573102205721,1.1069660814844127,0.954396993019908,0.822809895070395,0.8614035388319156,0.8319380940216252,2.294081000202673,1.2516217853604474,1.6467090169626348,0.843660205158159,0.8685834052359515,0.9304098692023453,1.0161811453307186,0.8065219105196644,0.7884194342098132,1.0726648839549886,0.8759678099055331,1.0281632625456754,0.8758704332765557,1.1271573682728613,0.7738227796613741,0.7464838746674624,0.829082854937825,0.6542896435089632,0.7383764580350994,0.8450398054996252,0.9785072739962886,1.0375815242515434,1.3034221779628532,1.1187502677609267,0.9839430850360498,1.0277283139419804,1.2210314637518653,1.057968405300355,0.8508160203383419,1.0156976646217752,1.0386942398929035,0.7772043471766302,0.9083712918140998,1.0930710235673247,0.9015483708153675,0.8476163503137607,0.9073856163348921,0.8298853061943723,0.8654246478795261,0.8403691711903277,0.8322333433828764,0.8165812509750551,0.7095177649363352,0.7820395824770412,0.7300653186937138,0.7334361049213184,0.6441314737618524,0.7200310207955384,0.7735184742313469,0.7425754659715098,0.6550153642040809,0.7914959370368203,0.9003415459851873,0.8640176385967637,0.8813996672115717,0.981514773903087,1.1258572857819016,1.280945630377809,1.0152301146655494,0.81998130490913,0.8212378628551781,1.0582816988504247,0.9870892085717987,0.9727314188257953,0.9268380968586776,0.7613280630909448,0.6256988552417019,0.5795248590484184,0.5291192105265783,0.5973955369494001,0.6521874717374501,0.8904013928690873,1.460395823040525,0.6128200910374716,0.6889914995795609,0.885055274421718,0.8896494775105572,0.5798015587855224,0.9573952148074046,1.2814677648410124,2.2791202452236456,3.1128926980605316,4.29514807159258],[0.5233031694260973,0.36368304441077914,0.4906487509605062,0.3046760799967582,0.3771135955246372,0.40185538479474553,0.330430712312806,0.4846659573107834,0.3906258125632335,0.38960619463377455,0.4609753434321268,0.5563340856149075,0.46314922420703714,0.415667077928223,0.5748908341394887,0.5403014626523258,0.494587505161639,0.5215421987713923,0.5325892602738261,0.5265163681135617,0.5772826401127874,0.6049504107236005,0.6988664369607175,0.6842140251141136,0.7575501563906901,0.5575534857784735,0.4240761784188419,0.44028291014596865,0.5036932717781466,0.5353344127298452,0.6071505388319632,0.6492092821864267,0.7432474519933674,0.7041991411961837,0.6360230234474289,0.5568218405743379,0.5960634058632092,0.5283016824189444,0.47300187573907854,0.5139538698456926,0.4249130471606437,0.49451717127322536,0.5304265793812252,0.6484890079876157,0.8188150542940347,1.1947260888360647,1.3008152911672097,0.7232369550845998,0.8127034135818817,0.9304234478264374,0.9369380109217836,2.3447303909758763,1.8706745814966497,0.9548847218879096,1.089751268037632,1.2727911783552528,1.0715424825911304,0.9339314473167292,1.3155489665976356,0.8018785681156433,0.7330222339603079,0.8070439239052359,0.6980277642080996,0.8733443164070304,0.5986093832069964,0.6088630844182942,0.801737067288273,0.6375781618691384,0.7702937279916537,0.7062100686600413,0.9431157860489613,1.2591023867908362,0.8946586051506388,0.8375914988727091,0.7008246475206834,1.3363388375557008,0.6455426899576542,0.6809661519812963,0.5973357139429927,0.6180241163560509,0.6253441087527186,1.8064056717872257,2.1156280629584447,0.8005019566935077,0.6495937579145652,0.6825013309877844,0.5534321651803397,0.6443863933470015,0.5475040511939248,0.6811860495003461,0.6662860646428158,0.8242555047909131,0.7304869671360191,0.7178000470477279,0.6691127231654359,0.7259158985787891,0.7377136650406568,0.6797059131026755,0.6847281535279727,0.9287729575841422,0.7216840083200861,0.7528212892533418,0.6520143077184144,0.7225841318073427,0.7298714862537038,0.6786132308616639,0.9306747980783295,0.5674744786162487,0.570196970629447,0.8350894775225763,0.5075462227385478,0.4198210875256461,0.38789924210938054,0.41583435647708333,0.3928752540453736,0.3646519453915315,0.4067369047965954,0.35635624804544574,0.5501913875215898,0.5156053104306407,0.4685711878615379,0.4169589176330755,0.37825862625185425,0.3386849249466401,0.3507293208424724,0.3552221702845479,0.4104352236119165,0.4135465767344002,0.41139100583703514,0.5082392228113498,0.45103482409313694,0.5578452692267774,0.46562828759316754,0.6194450638358221,0.49138098899380944,0.5301925203839792,0.7280533553545885,0.4108961556380142,0.4651484718483448,0.37539026487706595,0.6306959325572928,0.518362614577284,0.4381042375193585,0.3884604202442847,0.4090420984858253,0.44248615606580194,0.3816982059180058,0.4716225163003596,0.4451615400122123,0.46164895090849156,0.5368124287760424,0.5778282283048337,1.0479147297880618,1.576520011973767,1.0655897184607894,0.7784691686754691,0.6244859436065527,0.6583042691517719,0.5742728411688556,0.6327218018133774,0.44912058769809216,0.48841128088013464,0.37873043255114314,0.4105263788894927,0.6000432444693155,0.4815580558155095,0.5284058985638158,0.9572139784005526,0.8926277297648345,0.9416236521512502,0.5186209351066469,0.45650382929558514,0.4491713347864113,0.4861544004573794,0.4945945761144604,0.5923007873144495,0.5822679134014559,0.8768120387328742,0.5648278234304185,0.6982607194183691,0.6897993768657618,0.55068991381811,0.530729602977735,0.532315890341174,0.5284923111680142,0.5026360104765532,0.4581880665822276,0.7855467648827101,1.5156203019758563,0.9872899998222778,1.1214469183713751,1.1884642016123237,0.7476556610707882,0.6679776827360894,0.4995274900966672,0.4968931555697347,0.5724958200309369,0.43689502951661324,0.45776155581600125,0.5380857171203072,0.4955840997424934,0.5749207590634572,0.4839815168976138,0.44997097476450465,0.5047966657833474,0.4947344358663381,0.48545564749764797,0.4663071769769905,0.5720607260100623,0.48202086888459134,0.5726662887038813,0.6062220767917424,0.5855438375024552,0.810207022380048,0.8099985570036181,0.8690530331224647,1.0057054387705129,0.8063370720892142,0.641320797290411,0.6926736844020718,0.6636433234418684,2.167074769861699,1.0883261526192642,1.5318591050586816,0.7235909687740745,0.7384349669836096,0.8425683041458994,0.862734379783595,0.6947031355168003,0.6064864040100084,0.9059195195683786,0.7299595981781948,0.8868779222910236,0.7037584265204678,0.9313265594266584,0.6682773530676092,0.673804787579502,0.7753094772298743,0.5068627192258497,0.6003016793573992,0.6971424259114543,0.8225143303165072,0.9145971298812606,1.169909237716921,0.9973350177118844,0.8706493187816287,0.9117203630327952,1.12389209950971,0.9496766198959002,0.7550890976658122,0.9368700436911104,0.9943196067916067,0.6974096955421603,0.8114912157729839,1.037460593697397,0.8695374271298412,0.7325553092785014,0.8012890002635785,0.6996988431047729,0.7342329903475778,0.7163148899219038,0.7052479865313641,0.6622344276128197,0.5583081531754744,0.6183153245949117,0.5646374375527621,0.5710422686114562,0.482777034535105,0.5558928566679893,0.6646177576597229,0.613268542310307,0.5492104996094698,0.644903445391738,0.8582840578447912,0.7823692926871878,0.7955352934964502,0.9039483305678558,1.0508765657329218,1.1663586965491963,0.8995755612569549,0.6868717835744715,0.6555835819845253,0.9399143712340996,0.8774881986097429,0.8821034188682885,0.8326486893127121,0.6351748244803747,0.5017578327495918,0.4433625208092971,0.4221084300504329,0.4821379208275432,0.5541137337233814,0.7749519928051934,1.5352878798014984,0.5363508348788849,0.5675562808929367,0.8351977554978436,0.9057841979505858,0.4467252714692705,0.7844194679062887,1.1384619578257726,2.3898193765722944,3.1776507121160997,4.155429308080123],[0.5289472604407308,0.30584546768734183,0.4233208087906257,0.29034496984216496,0.35106826080384945,0.3444470112935161,0.25916834967014374,0.39958729154025996,0.30383384986905165,0.32080037778207904,0.395934449372268,0.4634822971769319,0.3846896279026707,0.3508559112544226,0.49453602467746516,0.4496742015245679,0.4341673830445177,0.4520891409019727,0.49254646933529517,0.4846414353359293,0.5170158169290823,0.5517143438113196,0.6623112799204153,0.6590672725297143,0.7555895663093181,0.5433534387428728,0.3902737011789825,0.40277198616768317,0.4377774099107615,0.44426297164118417,0.5088546736355898,0.5453633429113168,0.6274644836175759,0.5804770519283493,0.5235028027248897,0.4562685838972986,0.4882523286694365,0.44549645003088534,0.4046831286452425,0.4354294100457646,0.38005026374217105,0.4500062837905865,0.4904839103656787,0.6329820546804792,0.8044404926035811,1.1847903628100585,1.2819128552593893,0.7172150394045395,0.8135940463357259,0.9271593132918813,0.9176220989809141,2.3245680107905837,1.8584231629997017,0.9113820152506125,1.0831783648357212,1.2405867777318358,1.0275462608409152,0.8876395640489037,1.276637692486108,0.7629254438040742,0.7018402829760988,0.7585406160918303,0.6171628728809891,0.7914966098619735,0.5372127949360636,0.5543857272408904,0.7607147280982103,0.575600470027443,0.7513805743627394,0.6608244424049138,0.9113032086881234,1.2254197418858206,0.8394641019001033,0.7738314906396411,0.6270410871399265,1.2800086352902664,0.554113917894993,0.5701378978259667,0.48505240359640184,0.510920697500147,0.5180749225728989,1.8259066906763408,2.117207678079651,0.6915524813633268,0.5702475774784156,0.5906690388545657,0.467918797461446,0.536673321337248,0.4468776827329055,0.5705654872356123,0.563998927591631,0.746945532981863,0.6259234154903183,0.5960459646771535,0.5602207947344221,0.6173579425850761,0.6451557480185715,0.5645033175198407,0.5696978991775099,0.817748095434665,0.6018740495989889,0.6329658196031923,0.52970202376944,0.6032153964723953,0.6191937512582057,0.5776244975612558,0.8239220496315967,0.4693350979579202,0.4947803341628692,0.7829946757721079,0.42487795840855697,0.33867706768275635,0.31872008691765813,0.3796719247642266,0.35837267469569983,0.3669474005412286,0.39325872565203,0.36378712045684125,0.5302173322368495,0.4913006257459512,0.44433799680767155,0.39840728847305823,0.38775307995867414,0.33032864271694456,0.3233192484103924,0.32908754660173917,0.3635924826695106,0.35968638767803657,0.3340543898859663,0.4345073515081666,0.3915167174891253,0.47489162479593566,0.40504699589311494,0.5470474322452737,0.45627269633235557,0.508366141589816,0.7306528078997494,0.39341952996729024,0.45607550840654876,0.37653757047238745,0.6474227244217446,0.5275609254760255,0.4482709653605075,0.3829293163859549,0.3788939559988536,0.3919606221934893,0.34092981010061,0.3904403790361974,0.3670762204309663,0.3826428111311678,0.4276072598323209,0.4680318634666912,0.9463172075009685,1.606651896559846,1.0364400118706447,0.660952886840704,0.5018206604216772,0.5439026589086063,0.4656430488545856,0.523933263012373,0.3832558916522353,0.406309219583897,0.34754593548722074,0.3560118662368364,0.5757826381128478,0.4814132472549951,0.5212485217889884,0.949781964463839,0.8813815602141107,0.9370866087189633,0.5104141516896135,0.4484379541206642,0.4093828683932978,0.4248585991850144,0.4099243301066854,0.48941907652835015,0.482465933142852,0.7871472947236309,0.47307142069226726,0.5808121511217578,0.6617908235673918,0.4507104870126875,0.4284586294026071,0.4455130699312943,0.45732986768203426,0.45305418407949843,0.4174893550406988,0.779189979794459,1.5078072640918183,0.9816056972969456,1.1231214057282184,1.1966177365313548,0.7364332689409179,0.6479855695873858,0.4669104325499618,0.4619600237963373,0.5614406900754695,0.4043511922907405,0.4105276962088907,0.4704643144297123,0.4080212282104475,0.4691693255137172,0.40093521654369557,0.3884976245667357,0.433287821376593,0.42715163155206903,0.45520278699819655,0.4209240455081527,0.5127770098200607,0.4553586214070642,0.542318529462848,0.5589876791225175,0.5574197594879053,0.787104820310367,0.7543753096721817,0.8755888766956444,0.954016038648012,0.739133115822852,0.57623998003666,0.625634060607775,0.6007305433975038,2.206143435790901,1.0258302625793134,1.405962788674643,0.6445726521594451,0.68129313147733,0.7722135239415834,0.7903911025447871,0.6367470005213218,0.5073799670431974,0.8162769449771906,0.6618725453729506,0.8057580527109496,0.6171779791345235,0.898301542013689,0.6362322622468427,0.6781685079703871,0.8204523866984513,0.4666887378950389,0.5341913995218807,0.60059280135852,0.7170398368618379,0.8062660818319313,1.034789845532303,0.8858427893051485,0.7707671329391497,0.8112910118361583,1.0481750259530456,0.8549280781810153,0.6748613443516694,0.8517730860516419,0.9204768780841553,0.63969032222477,0.7208645978874082,0.9445721472133939,0.8042272534873586,0.6537314220944626,0.7021296639127396,0.6261572124932457,0.639375589038466,0.6239611459937947,0.6181996177048349,0.5728407732860274,0.4838835157593022,0.5411450133854413,0.48245806998005464,0.4944431443899759,0.4257235015327633,0.48687897521216017,0.5842694625515814,0.5605109342551082,0.5261733262261405,0.5830321358279098,0.8008997533692082,0.7305751904833026,0.7490889835284754,0.8480642662670033,1.046791500059571,1.0713727521781824,0.8358512569855584,0.6466269263943307,0.6159971833893075,0.9051346991725674,0.8302720831237875,0.8338807657804689,0.7965738594149425,0.6090623592005918,0.46295423697144994,0.39595714894767065,0.3847198049354468,0.40536533426376387,0.47265328088535796,0.743979999037241,1.5779917375042813,0.4698371151029042,0.5260051206867377,0.8707642433713307,0.9044985207561556,0.42335470528280666,0.7243888605334473,1.2622368605143197,2.9052409679584335,3.7163295302892765,4.632630609670623],[0.5600471546094858,0.36856188118266203,0.415594457419175,0.35681360200414786,0.39094368815660746,0.39384645817879876,0.2995666336305558,0.3819146595458413,0.30592759480784526,0.29578337335314536,0.3682055495781901,0.45639720783003723,0.3635057356206822,0.32233560546708157,0.4628503472113799,0.4208872687988607,0.4159667891632728,0.4353891484192685,0.49086550901393927,0.47073216777286353,0.5212215835384609,0.5490455569388365,0.6699364791601505,0.7172551330510373,0.7280998867574786,0.5601969426089176,0.396316852114932,0.4009829405116748,0.40840969371036856,0.4307536634525326,0.5117838761526347,0.535138339222515,0.6434477819508564,0.5821137796911356,0.5173767598351668,0.4508727814222469,0.47242447421923495,0.4221488524761857,0.3838246540866492,0.39524766946949447,0.3743548496453719,0.45176601645925163,0.4760456771007128,0.6418461682416019,0.8372902185494182,1.2235865824954801,1.327285071377793,0.7345483074817717,0.8552262853436571,0.9661361770123976,0.9016013846073837,2.3309872994052525,1.9485224491518862,0.9313923688205196,1.029896519657088,1.2185564526270765,1.068689631723474,0.9451073641098465,1.2620494470498675,0.7352697332111172,0.7097088086404462,0.734322357924462,0.6237844913967436,0.8329593793627186,0.559376205708957,0.5510319953978355,0.7528112108305388,0.5759806836703516,0.7686652490176413,0.6530417789850324,0.8951122630237357,1.2230558729005194,0.8442938671061878,0.7969468386005037,0.6490550928755796,1.349434888107945,0.5675854844536334,0.5754535370306442,0.47854761004495444,0.5214428071545097,0.5229990864568366,1.776608730740576,2.070890375710862,0.6731444727214614,0.5719367606931568,0.5555549456276963,0.4477909078841201,0.5274430715093722,0.4474099138130824,0.563718131774003,0.5603319831113629,0.7758230573840023,0.6436367231390618,0.6062336434075817,0.5649001206154953,0.6306312502058823,0.626704962954334,0.5775088675764568,0.5695550587681061,0.814427205921378,0.5898907156650324,0.6032368627569838,0.5096245728840201,0.5804143875713043,0.580477719927862,0.5377726197712447,0.7729728414546437,0.462310684911545,0.5067896517280123,0.7912586231196778,0.43046984551185125,0.3558916176405562,0.32402979126199516,0.38705426938189225,0.3782315949399961,0.3979941810556068,0.42043512054860355,0.42003502170393375,0.5482881075209723,0.49120873853238217,0.4373480154777581,0.41019675944186845,0.42531241653658025,0.34763768400642786,0.32887149126196025,0.34606743618516156,0.43453648984902105,0.40542482829406007,0.35329990827775215,0.4287558245825547,0.40522083926314184,0.47260521195241845,0.40062227412122325,0.5309056568999665,0.443778319279994,0.5076103053052193,0.7461811432450538,0.4262467933934627,0.5047305414483957,0.4519199258823824,0.7589729363854835,0.6195367174033849,0.48194588250399645,0.42318493178862876,0.3894966787203707,0.3813942174687469,0.3503072013513481,0.3830181091314299,0.3673053061822681,0.3829356915822547,0.4176904047015731,0.4665428149650561,0.9286654214053822,1.7422599634017382,1.1217341765879028,0.654657908535294,0.481585198698201,0.5185618539076267,0.45240221836900946,0.4918615298055659,0.3800316743344475,0.4006318789280115,0.3596621821425224,0.3708754940850087,0.5727472378975866,0.5127233333269202,0.534021271900836,1.0215128948069299,0.8948979208294545,0.9409869035542074,0.5199305918032875,0.4673922579834886,0.4156512969770558,0.412909688082127,0.3959187339012119,0.463394536328653,0.4638575675059406,0.7727337446844672,0.4593562406875503,0.5539954631628113,0.6600495275057212,0.42344044209537224,0.41286294848723976,0.424556169299878,0.43719337596911106,0.4334101717506094,0.4233430922894573,0.7874699945976025,1.5367247083438555,0.9894958152246563,1.140467354824891,1.228764285507613,0.749942573689416,0.6559227311556604,0.4754746779834149,0.4835084377772458,0.5837811484251005,0.4219206706681924,0.44293857169937895,0.4957322146739304,0.4245542190641077,0.4610658121874916,0.41605026519009036,0.41164704242715006,0.4416930213199063,0.4434577248838625,0.47080299985603885,0.4405864204241209,0.5225521723038242,0.4802417817670934,0.5493225612209525,0.5761115200050341,0.5822022736653025,0.7571952182851058,0.7544810492680886,0.8914927839563694,0.9776147867512831,0.7407508832195047,0.5853696345935883,0.6390484812563445,0.6144082470547714,2.20178420041442,1.013828722543579,1.3686155347967148,0.6457459341995403,0.691774014191143,0.770418553085663,0.7879930235832967,0.6427109139506141,0.48755870571232235,0.7732138081842871,0.6405759113882479,0.7690671859522523,0.5791244223829098,0.904369598293779,0.666370540589282,0.725441485930025,0.8855668978995032,0.4907727559128911,0.5346577874424919,0.6001858872739326,0.6923463715218198,0.8000585039648537,0.9993626009846033,0.8648623422116372,0.7534568875544051,0.7798129183624137,1.0319623426875502,0.8258433207157874,0.6595535196155466,0.8234450833265605,0.8911336479721435,0.6330547291608868,0.6991172430292697,0.9176421907901704,0.7959009375188703,0.6603652377473438,0.7047948514320452,0.6276674097196975,0.6271079141227012,0.6025936470616863,0.6023218193763296,0.5622007466808912,0.48500671734267337,0.5263983562363105,0.4813464941399753,0.5029189780288199,0.44959329553442645,0.5056382759905589,0.6291090397219499,0.5949050287906613,0.5659100327186102,0.5923602240805055,0.8462523550209192,0.7714034994938342,0.7795332150875767,0.8886112851698288,1.0831018543393711,1.0438711189914627,0.8317912806707712,0.663529581395462,0.6080881002067317,0.8954263163461573,0.8139781650592091,0.8339929720418938,0.8080327461284093,0.6195919496731622,0.499779180420176,0.41883854827714667,0.4145104314900737,0.41921880363781394,0.4989478472552725,0.7552401083881045,1.6135456959199217,0.5047103785224278,0.5672752924457232,0.920130255708863,0.9098846915762883,0.4782802805262798,0.7540455447979373,1.3544128522396646,3.103995733282598,3.996449121695518,4.99654407972064],[0.5167165256059746,0.3471033202387646,0.3594364464485824,0.2884297181564503,0.3553092113374655,0.3719392062286885,0.2765816979175788,0.35371705863151975,0.29665907426580174,0.28976279062273486,0.35347057690805617,0.45499286127020094,0.3553552400792201,0.3267308742705856,0.4620153772870064,0.41883903715732274,0.4285972894798202,0.45791832564543306,0.5168742951052556,0.48588665587669827,0.5484577176971587,0.5638398136961708,0.7233248107013764,0.7889679616482725,0.7424504675095008,0.5995596604753761,0.4142526785230568,0.40459918873338696,0.4116314747765185,0.4366618372749511,0.5210894963649144,0.5178054319605885,0.6422443346368459,0.5783248142289719,0.5098503961101865,0.4613099457071803,0.4659623151379525,0.42544808967005326,0.38208041325269265,0.38791832221619105,0.379613606327921,0.4511733821865653,0.47197394964089423,0.660463497049556,0.887474318114541,1.2472208907415032,1.3979516100512914,0.7781942533518991,0.8703519190338587,0.9713215330520633,0.8908902662577856,2.3121738811152537,2.0036418137636836,0.9151638791700166,0.9912758254047198,1.1323160737050348,1.0345251562913755,0.9254388234761651,1.185776295338452,0.7120081644017543,0.7706042269213779,0.7361522892611208,0.6360274202849706,0.8801794673343863,0.611459952768006,0.5816900348584365,0.7707316091473799,0.5860219215195557,0.7991199430281594,0.6608390176532818,0.8668977232129916,1.1959272911910726,0.8445791305178711,0.8342690638163944,0.6790844970376306,1.3946931019708397,0.589248848151281,0.5769263618905536,0.49253480600919886,0.5331323647577618,0.5048382960646814,1.759572680978111,2.0193755787386385,0.6375695921541619,0.5725851231906947,0.5408826095669637,0.44239423456767285,0.5207105679194789,0.45827075167830494,0.5575400721573517,0.5476700142616269,0.8146631743245125,0.6527399531254454,0.6104527602285102,0.5676482265605184,0.6441499187270726,0.6096170546467233,0.5805843016964142,0.5591911730523483,0.799913636531601,0.5759010734309421,0.5934572731772301,0.4930527606777238,0.547421696813096,0.5267686612584583,0.4916121836868206,0.6767467181737016,0.410810707606226,0.4497517905738526,0.7558975927531314,0.3746120527085713,0.3141892991468881,0.29099206802830435,0.3619036034273937,0.3573469682406855,0.3802440613234223,0.41308094367626924,0.43136364597759613,0.5750270326837913,0.49798178237177243,0.4491245868119984,0.411685874934439,0.4109637845470084,0.33016145054144314,0.3114279881400028,0.3149041306944102,0.40350332249056714,0.3614813351709403,0.3131653697720883,0.3920058715319256,0.38262167134868164,0.4310626746181329,0.36641979130005375,0.4814281909748371,0.410970056898934,0.47204478690467006,0.688442487171832,0.3970202645595822,0.4778019789245869,0.46374989709928066,0.7880654780709246,0.6682350813353276,0.49286430033388184,0.42937365622880325,0.3915826937992389,0.3809560317479302,0.3446187893545543,0.3795979267991824,0.3612487634107076,0.36685018265241265,0.4187108783178979,0.4900956892671205,0.87412110092841,1.7761511257392588,1.202415238213123,0.6468246509078545,0.4771774443809391,0.4986571426679382,0.4382299599633764,0.46484665395814395,0.38271076323637104,0.38974643175200674,0.3545446421502259,0.3704933527935666,0.533011236287186,0.5192445657197677,0.5785682529542655,1.1114045151169918,0.9360901334614979,0.9402456703935755,0.5095280265716217,0.44993949493812907,0.41153378904199056,0.4002636730009799,0.3762969953125358,0.4260847188181688,0.44668109030439707,0.7269160074701798,0.43862938965292436,0.5236898090126211,0.6686902848213234,0.3901066826358153,0.38665258292438415,0.388783835407986,0.40812921108553,0.44083113564790877,0.4526920230196536,0.8031043707441355,1.5161404768639186,1.0090144300015078,1.1511229980465911,1.2857982774127943,0.7911324194436287,0.6764941007736981,0.47028601465129183,0.479558488289399,0.5717795983840404,0.38887081240390237,0.4009403078796189,0.48481984930026717,0.36781190055058655,0.404929700036583,0.35864233020410025,0.3634897095745391,0.3818052232279748,0.39558322957430136,0.4326964154305582,0.3978502826171702,0.48909143635461033,0.45373778129090286,0.512889153532067,0.5457685280365654,0.5751522523012352,0.6779490334216132,0.7100305811162606,0.8363970102263047,0.940256813396955,0.6499929482591325,0.521882201447654,0.5838206338442424,0.5695724030693424,2.1052006609539067,0.9793714436288523,1.3403897498292603,0.6167840788996097,0.6464644442759455,0.716238069383082,0.7430882427357108,0.6020098759041177,0.4404331882558832,0.7018715785872323,0.6176510915609873,0.7336662446577011,0.5143533690922766,0.8547329612089283,0.6271112711573555,0.6703098588552323,0.8796500804004385,0.4371797958582438,0.49012053180876075,0.5491412625012052,0.6427567057924782,0.7520286401580748,0.9219101294506573,0.8027580655483707,0.6901379813928247,0.7079677651363966,0.9652208214677903,0.7658812424390078,0.5950994525263863,0.7751670753270773,0.8602840207617231,0.5972769541580215,0.6681055154777135,0.9099973103083008,0.8224424848383712,0.6511426566244104,0.6902597737950826,0.6029250921355002,0.5938169089014832,0.5511494543244394,0.5496209644037052,0.5272350786740846,0.4378491919025938,0.47469211254521426,0.4414550074713957,0.4617524193233429,0.4106329816581688,0.4668060178524716,0.5942469003509938,0.5408874554684118,0.5350337845956008,0.5584380813635637,0.8327828354691706,0.73948457035751,0.7303487772238473,0.8895020418220161,1.0655047197962917,0.9936989765640518,0.7460949701047997,0.573080915073828,0.5160360218570564,0.8091054569015148,0.7297048764598545,0.773608469798425,0.7639262914385124,0.5754467936108736,0.4541545899625435,0.37350275418840195,0.38840869477993684,0.37398325894770723,0.44715814899269,0.7044298575339542,1.5693410446458764,0.48384372356708033,0.5363755216749322,0.9036074224738408,0.8957010812532504,0.48162488833031614,0.7330887001267967,1.3703442595716744,3.2042017960579754,4.09895202630935,5.103394594287454],[0.5371275708272174,0.38848612806138155,0.4238408341689124,0.32856911905333663,0.37070353824744273,0.39717859965792685,0.3148414750827258,0.373631787058467,0.31293809274776485,0.3032600867263559,0.37548349782984036,0.5074871554040052,0.41456268212912917,0.3609831403176217,0.5249041536666705,0.5106846999327913,0.48932133063913685,0.544216437634182,0.60473156557391,0.5747250332626502,0.6341853992733014,0.6147376528550915,0.7954532694071805,0.8462230913868534,0.7004715546942231,0.6315963888413166,0.4926584950728438,0.47820913096296347,0.49848067607644037,0.5220282474749609,0.6350401967547057,0.613264057455766,0.7827516538204814,0.7379225834479946,0.6367383014962302,0.5821106877107203,0.5710116925204997,0.5275423202981225,0.4761681347159103,0.5422571107200432,0.4345900036679628,0.5238585582144474,0.5811843026055766,0.6351017773012924,0.8232753596683028,1.1725286836985302,1.2445142342572773,0.7439892086121185,0.8327532236433508,0.875130094803094,0.8031753109273628,2.428791059957905,2.0380105102135473,1.0657064894149535,0.917850671896057,1.2307164889874243,1.1854848488341267,1.1073852232039747,1.284624681770932,0.7887873621112326,0.856849904561676,0.8361445451568434,0.7909992538984433,1.030440460296912,0.7144313807510393,0.6924021225906382,0.867962152750753,0.6900343755201219,0.8782200886509545,0.7313260989022463,0.9536853809688932,1.3442218627289921,0.9135908569533178,0.9208856536874511,0.7667894452371721,1.5414743354611036,0.7234282065197898,0.7404274643659609,0.6507871207440358,0.687928419853467,0.6650549059420414,1.5954565507144156,1.982020542120563,0.8952882100237597,0.6387216563363797,0.6151449571078487,0.5615711397543889,0.6441998237990125,0.59715934399656,0.7102425164878711,0.692927966209843,0.9390390851546624,0.7875562496661256,0.7539118956213003,0.6829532594576407,0.7592181890599756,0.6849299255949686,0.6760944848726593,0.6322081581930469,0.8768309297693275,0.6417201732072749,0.6351137646555631,0.5573037368367005,0.5986488690723843,0.5745487858279086,0.5323822588579185,0.7220377158474015,0.43384530112434017,0.4432370471499407,0.704465251114408,0.39117168581289297,0.3465621433894809,0.3409350417271722,0.388266876162301,0.41029531794581936,0.4304056361122409,0.4641662093677473,0.46620803403140115,0.6334642731053447,0.5726220719532944,0.5044518693399888,0.4789269858934788,0.47652471935033164,0.375487935980604,0.34873464050078484,0.34529165280619073,0.45223022091882703,0.38375684877341465,0.3738624165015915,0.4176341893283633,0.40514321062559044,0.46285161295646987,0.40677912310962927,0.5417015891974423,0.4418622180033015,0.4573932777376187,0.6579229976004757,0.4073269077500612,0.47522345366992474,0.4724592009945889,0.7489104131751428,0.6669695420921602,0.5256491830093849,0.4638582526141764,0.436444869609589,0.4562598227829856,0.40709582636528285,0.4250081999187514,0.417855722107557,0.401208056087845,0.4386683575877121,0.5213982212872328,0.9504072707518669,1.8790288429527449,1.258624240508914,0.7237350060220661,0.5264338137813462,0.5442534536425514,0.5240717742932967,0.5377662479469129,0.4188054551645707,0.4600978356389317,0.39601408726952536,0.42464520388052784,0.5832783925885295,0.554217792462383,0.5208756757706849,1.0039505777401867,0.8400754620834002,0.87231509933009,0.4786680713936561,0.452888037815977,0.4114333473134248,0.4536971930385346,0.45879601013572874,0.508595904242,0.5351965642823594,0.8311732305324635,0.5487989947371914,0.6281438115716514,0.6885486352290038,0.4425145597795186,0.4416930542595762,0.4496860365866932,0.4668710502631097,0.5410791795316853,0.5009822635615873,0.7674997754555852,1.4015772703251808,0.8499932300698145,1.1391661361429932,1.3944033331848011,0.777252708452879,0.6640419112707074,0.49202651755422977,0.4685873391478154,0.5656577372540433,0.41922223555248495,0.435500867863742,0.505283911089206,0.4121065376139135,0.46239274831097466,0.38903521302869126,0.41218532094766913,0.462049794755335,0.47117608830752217,0.49830399187336605,0.4639191621272947,0.5441035727285531,0.5267834236362476,0.5835542907398534,0.6093131172123327,0.6360201180369217,0.7828187092632481,0.7709533460959072,0.9155050254924061,0.9758871667251471,0.7188025914940877,0.5912865683976481,0.6439329335125293,0.604327729395867,2.2539494675143437,1.0280828516474145,1.4247912243023464,0.6832115817159313,0.7132027779430449,0.7535424656673955,0.8336305786876974,0.6356632230438335,0.49398356430965773,0.7647133833190879,0.6896923676821473,0.7522093134435317,0.563063189442598,0.9258746569091818,0.5854312511329535,0.6570844493838242,0.8744507502247929,0.4584055255940436,0.531262331612664,0.6176152781287045,0.7360428494011838,0.8520222654281036,1.0337994355346525,0.890367001012754,0.7835147054389511,0.7953072456947873,1.0647151659265857,0.8176933815757605,0.6613856476216644,0.8228222667270407,0.8701786718611603,0.647533684869276,0.7209952220779056,0.918453303583167,0.8005193920693485,0.6938470941393864,0.7379185468904186,0.6469259586079765,0.6556672420389471,0.6258014501038591,0.6286555135425909,0.6009580323433402,0.503408851943458,0.5428455382709005,0.49063090584440244,0.49566186047415045,0.45302292822211104,0.5134540637763502,0.5860771646042413,0.5700278535212446,0.5284437064426875,0.5510849135032453,0.8185735528984511,0.7362610399512445,0.7295855797693657,0.8868358674297763,1.0872629840900416,1.0051627386825877,0.7706990068822306,0.6402281930551608,0.5903136806711882,0.853159648321719,0.744660761650861,0.7679460964484841,0.757135266045162,0.5784309837317192,0.4830321660110956,0.40782755062044285,0.41665141880518997,0.4036025763838139,0.5193662927404681,0.8307026705771718,1.578119158777929,0.5179703667700339,0.6550032256868915,1.030234898437355,0.8149207400597441,0.5910016706049261,0.8664422554205864,1.6524258038057655,3.458980019508736,4.62737164581767,5.902040940356495],[0.517923164450374,0.3834927801101465,0.38349591623658014,0.3409033897361632,0.410405552696355,0.4036339583661403,0.3389142356705987,0.3468937168093662,0.31334214677980887,0.31241062313200263,0.3546831631060806,0.46555957146053156,0.3713803141526525,0.3459652327288456,0.4977451826454427,0.47113446390931435,0.5025451531912635,0.5389121428229097,0.6014215496191275,0.566331022903515,0.6531626418403864,0.6504754507605457,0.8213663123309494,0.9369086600992524,0.7605631636085479,0.6850559426998702,0.5169671329320061,0.49260668233912464,0.47942038917493796,0.49296284803211227,0.6083312607202044,0.5505530537626651,0.7243211833187816,0.6792041708584162,0.576438460757009,0.5560697080664045,0.5139192785183616,0.5101561603143829,0.4709679247205319,0.47338000912915906,0.4997401802413614,0.5521676571279974,0.5751088835358046,0.7142100900028092,0.9448268973010283,1.2600151070240622,1.4297085284085396,0.8258482902850165,0.8845766520047571,0.9659007999771462,0.8813896123805596,2.322016443026371,2.110638280537722,0.9951130604586392,0.9694944324059448,1.1611612817045593,1.1229032237517018,1.0397374304943774,1.1908398590670133,0.7517322113140276,0.8558634761170829,0.7852008390505449,0.7531721183507288,1.0189138674399085,0.70719631338897,0.6805138204709901,0.8786020089475023,0.6827946284769215,0.882770487769498,0.7225690652947471,0.897070143571063,1.2371095780629728,0.9041172538819852,0.9583365110668003,0.7578340411934074,1.4988373913491198,0.6845288978010358,0.7051854101773539,0.6113274465540589,0.6430531521631572,0.6105813151490221,1.700872872187532,1.9587129713263736,0.6645901859848363,0.6017212017437166,0.547113225041127,0.5244875629608693,0.5933742286348032,0.5689008610205027,0.672286353136261,0.6641045396532763,0.9590858785477506,0.7910271279053744,0.7316992487181133,0.6552951559133746,0.7568312498031914,0.6619387220346098,0.6371979091381363,0.5819240528089564,0.810550117640959,0.5785113967679599,0.5644814869497976,0.49377202166327505,0.5334266394085568,0.5246211294298256,0.47916451580055563,0.6435866722645794,0.41256110581469013,0.45302259585302695,0.7345063660727493,0.37855848582767043,0.3649318898905793,0.34583605213390506,0.4113382424031324,0.43538825279012455,0.4701312824130315,0.4919547517180143,0.5395478577182776,0.6548365721393749,0.5791195382953468,0.5276732228322812,0.49952349713851113,0.5208306936180441,0.39750201066839136,0.37139294399085326,0.3824189188366518,0.4584689460256725,0.38798565060825085,0.3652853549640889,0.4275055760668827,0.41603978963641874,0.4450426643434968,0.4251189044914263,0.5227645055064706,0.472433416372954,0.515013803681956,0.7091052373169473,0.47631316796826395,0.5457286805071749,0.5505383229673844,0.8817578104693737,0.8058796272355121,0.6033024652433309,0.5352127054222439,0.4842787109563229,0.4681361996291686,0.4284981010394705,0.41822890633116705,0.3920365072286029,0.3882944768475433,0.4204816502274409,0.49821190033707885,0.8563955749513746,1.8311474753252328,1.2589346352768758,0.646264552559818,0.4650759513516144,0.47558093369691207,0.45455340848995945,0.45828775402355715,0.4336915489750149,0.42206681652923306,0.4308625463208558,0.4421139648266591,0.5812918714287316,0.6235373589360521,0.6647065238760044,1.2257547593192506,1.0216868364235319,0.9914322982051891,0.5677044797767185,0.5078714617211919,0.4535971487837509,0.43753990529744,0.4255398820262925,0.4560801678644452,0.4754306927370279,0.7433570536075256,0.489342819903119,0.5197550202982877,0.7097180688815308,0.4074215009529094,0.4243891636168519,0.4425622764845053,0.484373646727459,0.5229286893750165,0.5375991864166281,0.890865181579709,1.4529802370441658,1.0277565963259283,1.1534889013773706,1.3429111753996883,0.8331225544212831,0.7376414756609585,0.5455875753322836,0.5170966174112798,0.5910041790009194,0.42557623360829644,0.426677148161997,0.5011416915258557,0.38812815882780344,0.41052684383488053,0.3777481788514357,0.38097911903609316,0.3887983252290909,0.4037186239556781,0.442518219420073,0.4114460243791524,0.4869053727006987,0.4703353685823111,0.5266800374952735,0.548834605028117,0.5764793279411501,0.6829389995475975,0.7214702485530163,0.8311556242866223,0.9376511213211999,0.6439141121160661,0.5252087175423039,0.5794423756500638,0.5749576958000839,2.10067031257238,0.9629480117633786,1.3265121649488079,0.6443814636936335,0.6599566155957958,0.7097684801312016,0.7400234279355088,0.5996189740725641,0.4533011277160809,0.6634284761910983,0.6275980194256733,0.7139256779319123,0.4941396754323272,0.8763276500163532,0.6537198748388975,0.7052430166045479,0.9408052548863114,0.4666080730946697,0.511604733666286,0.5487823213994295,0.6374364227095334,0.7607882647211122,0.9214885626024581,0.8170645895950074,0.6906155498956399,0.6937796184408748,0.9705980845469306,0.7478111192359588,0.5880768840501293,0.7573264959782645,0.8382285964384931,0.5916932910207622,0.6487265766725353,0.8812817282144325,0.8053580072862587,0.6328508273538174,0.6707117260886556,0.5884010899075057,0.5741009196815978,0.5366624521384948,0.5383377923834493,0.507635938854733,0.43502754132534754,0.4699486321534071,0.4431467999457439,0.47275956283327525,0.42117735322013594,0.4693432332612899,0.6040327752255465,0.5489328636242603,0.562396362674381,0.575219394542485,0.8450782717713287,0.7460929581938782,0.744001809943199,0.9488765565576749,1.1170010675616202,0.9783649756062689,0.7549018940101131,0.5684769093180191,0.5179346162071127,0.8069897836610226,0.720069177276077,0.7726253619523347,0.7885925379160301,0.6000508672483265,0.4831084605313219,0.39692242523320376,0.4276254537308329,0.4095571596485856,0.45175175521490474,0.7071683000848306,1.555838093866105,0.49160077844791866,0.5415691066166933,0.929444867691692,0.8760981192128685,0.5166619372832855,0.7480125431083405,1.4506891129571349,3.327845024057161,4.32206870870511,5.43844220276652],[0.5589378927712155,0.4211439488932329,0.42100323319631405,0.41307398408852325,0.45142796119451734,0.4385518111786208,0.3718315536333492,0.36844841066750983,0.3423874026792408,0.32978226597705,0.38010039238960136,0.5197481546281081,0.4146043117135251,0.38237182946407394,0.558105586175258,0.5578629598101371,0.5576566006331879,0.6191564182481302,0.6724485345749875,0.6465454548585353,0.7345268917418311,0.7216153186104692,0.9147802012831473,1.0495368072231555,0.7629120721030892,0.7307632197597277,0.5709750686788687,0.5398144067745335,0.540246056248658,0.5711789335538885,0.7243787518135885,0.6696174436481587,0.8881931735452043,0.8526118297279396,0.713904745738464,0.679105081235791,0.6235723487970007,0.5854690686704439,0.5367485696895533,0.5560926020794964,0.5464331168856442,0.6144702781710705,0.6470903617104397,0.746313253085022,0.9792173511041122,1.281384270882705,1.4340954359924256,0.8654146189635001,0.9087877820429594,0.9680442231338863,0.8953318483632328,2.3546783095350254,2.1540725691337315,1.064297775613493,0.9295090751710459,1.2054014332466847,1.2150166460399,1.1637604921831406,1.2623369145066792,0.8547005982424918,0.9491580825282814,0.9216272175630904,0.9186739286855262,1.1802076368335854,0.8373167054583853,0.7965098708942034,0.9541234644284297,0.7864996191296949,0.968699852487248,0.7957776960023729,0.9164729134784957,1.257337365729899,0.9786334267600628,1.0698912002110448,0.8824574378042983,1.6484258439385526,0.843407121661883,0.8766447201582065,0.7761600021171701,0.7813416573109186,0.7303205886052082,1.553118586520315,1.8739533891383209,0.850572503172081,0.697158850259119,0.6394484694211339,0.6267523925888769,0.7120325906598155,0.6980994675402172,0.8253658925992846,0.8150482340424643,1.1153290305509438,0.9436337134560453,0.8940360475395966,0.788836746310397,0.906887057586748,0.750079947703553,0.7710815367128295,0.6832328438163409,0.8961497507301872,0.6926108685260424,0.6493399401490014,0.5814680914937478,0.5921569327014256,0.5661680857776347,0.5165778871941621,0.6635710875690829,0.42557671137865677,0.44325245468865415,0.722273956070007,0.37596401714462135,0.38441787232642205,0.351908446636202,0.445136783910494,0.47497640422426074,0.5150498283874544,0.5486969330404341,0.593227668056732,0.7130107449901133,0.6191845233214024,0.5717602257474832,0.5565625619279484,0.589612707197489,0.4500478767819104,0.4102626993236423,0.4204365896817274,0.4998296774314355,0.40512659748378227,0.38617278981726283,0.45426044541784544,0.44823380644652827,0.47993558680412046,0.44643775176900635,0.564061398764577,0.4867928625788718,0.5044949732501649,0.6905682975291839,0.500412677964161,0.5823642683319342,0.5903903719398058,0.9277128459495486,0.8740189754572119,0.6593489189545735,0.5842853757432158,0.5171959173549949,0.5135196833982941,0.46761711449431886,0.445070291671472,0.42802517721915606,0.4066078943155958,0.44930474240039076,0.5285779534063766,0.881290714225964,1.8692405873678541,1.3029913194137748,0.7246950569641323,0.5355620270064004,0.537316024961023,0.5189037333067383,0.5082094264412929,0.46622405183781956,0.45297131956990916,0.4679165815915727,0.49255591594371784,0.6276293440924552,0.6690330168223749,0.6639604771691741,1.2241001416784911,1.0149249375230565,0.9716288519214649,0.5754076430881344,0.53033844066246,0.48818568397500894,0.4757987890359726,0.47122327083406695,0.49876999595225235,0.5329650883418394,0.7797966955095397,0.5528059036665005,0.5768788920990292,0.7049935768267068,0.44964813616864613,0.4657577887300035,0.4758165606482041,0.5153712245844706,0.5613331811422725,0.5686854679853328,0.8866220574534268,1.4347749200499795,0.9801923530234727,1.18644963299957,1.4303393199741288,0.8335011932459787,0.7185148341467593,0.5501462448545544,0.5377692542990804,0.6200876380248491,0.47000503226894497,0.4654897172962271,0.526401271419598,0.4097958018248552,0.43023490849360224,0.3885926028109289,0.4109339698359139,0.41810360221718335,0.43133987914643446,0.4757454736977937,0.43531696351674065,0.49594618316716044,0.4909587553375894,0.5514808665893977,0.5694232879486559,0.5883098615348565,0.7196398702131027,0.7520130271074166,0.8576210289662514,0.970069671770436,0.6799992318328579,0.5510897313058603,0.5952238560430454,0.5905815134574148,2.145286350973215,0.980004638949805,1.3373443319674505,0.6688727228713076,0.6986784184995332,0.7415085216808016,0.7934713639609698,0.6253824176903945,0.47561730336319946,0.6897740729681469,0.6396523113323401,0.7039631467430099,0.5100640990542822,0.9304375338364146,0.6634054232136182,0.7177858468450977,0.961571552622308,0.4883562336299091,0.5440583291987979,0.5810899557975424,0.6718552559465418,0.8110418539049484,0.9523701573765777,0.8412371724829428,0.7340627430496627,0.7231726654052713,0.9999909538345146,0.7662574333190699,0.6046806568929854,0.7760218699272415,0.8456240579751514,0.6052485681550942,0.6662306349466358,0.8858922100718383,0.8058565098655048,0.6489184232843572,0.6862646935034705,0.6091904272613836,0.5956419094527511,0.5539851727932127,0.5564446907997065,0.5332798010067447,0.4537540273643413,0.4850157688816054,0.46180850687479297,0.4953391532943726,0.45761464255265993,0.5070408508617544,0.6279157242230604,0.587752826481159,0.5901623582676508,0.6124552311974718,0.8596014607023621,0.7847048295938152,0.7660424343613409,0.9734578576279214,1.148174697269565,0.998075754885151,0.7853014941821342,0.601364916416675,0.5545267917540232,0.8500281710608415,0.7505703556519571,0.7976353817974764,0.8032873019588324,0.6196120833510611,0.5158689643210822,0.42563675271923507,0.4599584355842792,0.4353386939773028,0.45709045874412374,0.7118531006715934,1.5378332023323589,0.49348027425609414,0.5662344624564443,0.947192114297019,0.8386441696313419,0.5578702697157396,0.7866535343407741,1.5347585481665518,3.3914325568463304,4.476780699195549,5.677774032571183],[0.5376346811007808,0.40477866414779357,0.41531647045567177,0.3524768467684257,0.415800408844203,0.4051896916180295,0.3343086278325052,0.3854414219748974,0.33533563272965333,0.3240765294091873,0.38075498804423896,0.5167140294970829,0.42209104231584066,0.3725507990231856,0.5332766190458871,0.5435949765597303,0.5442376522728765,0.6059101776805189,0.6741892860227182,0.6412761830803365,0.7257281554964404,0.6985263279889162,0.9246938124738711,1.0241616136230292,0.7501033863163435,0.7220030733385641,0.5558850989352708,0.5284688229192779,0.5355518019963466,0.5665217227767112,0.7075861867863021,0.6761614013209344,0.8671708906836557,0.8344239447672221,0.7116909707571564,0.6653397246010182,0.6338539594560767,0.5828676497581289,0.5203741276262468,0.5564499506148995,0.5195489417166439,0.6093777845524085,0.6493125051890115,0.7239216966871181,0.9438110532697248,1.2452607011044952,1.3798955981611933,0.8312683660177538,0.8748288449008881,0.9258867091264692,0.8517715300559586,2.367314106364702,2.1280916038369937,1.0776191558603303,0.9312005405983539,1.2531425808664909,1.2470632677921014,1.2041454804465148,1.3292980792460736,0.8711015780315322,0.9292399239316337,0.91021439441291,0.9049564896294832,1.1648678218193076,0.8174635177054855,0.7878057968961725,0.9647235508651963,0.7782784886992633,0.9749387444849927,0.7792139217373427,0.9367422659640575,1.3212956717381314,0.9570739447695958,1.0447742433089753,0.86031869589572,1.6631409271454234,0.8348545323299109,0.8809222342597228,0.7703559011449852,0.788163456778038,0.7413125037702512,1.5464472217518785,1.9323177670368494,0.8846999408761381,0.667291101665121,0.628034974196897,0.6235885214012019,0.7109942079757725,0.6898278553159592,0.8084757778648766,0.7971444984349281,1.0789856960687243,0.9112383428921,0.8722585082843233,0.7593671242343704,0.8474519647148372,0.721564074902205,0.7595728553777628,0.6853859003878029,0.9075124922996436,0.7032406168691173,0.678152050345642,0.6119178517504797,0.6038144873341541,0.5690436028990918,0.5236218893000233,0.7096680912616444,0.4373972358778396,0.46623490200374407,0.7450651213820667,0.3984404029845287,0.3741790195151745,0.35479716319428767,0.41596706554490154,0.4492580954596649,0.47784129037831397,0.5212457375644154,0.5487400156182173,0.7042444961889244,0.6008803849074107,0.5424075971152591,0.5149091940555056,0.5271741758321402,0.4041545613985155,0.3803484432900931,0.3876288626773442,0.45554172477067006,0.39853767809642304,0.37041255832371356,0.42605822188220593,0.410822762482339,0.451865615896307,0.4012159015121425,0.5309996668986788,0.4547199836853645,0.477480990848623,0.6938461505255609,0.4438731222608862,0.5178716566540087,0.532533873180648,0.8726082201243218,0.8084332642795198,0.6203731144123893,0.5478603535726759,0.49323202960992324,0.4898080953330509,0.4436617233166898,0.42417809264321404,0.422207367378126,0.4146475806279083,0.4519045920990629,0.5356236698347121,0.9476590772370654,1.8759873945563479,1.2649912705323352,0.7541408644002674,0.5479977888569249,0.5563505252579938,0.5344445152483783,0.5354071031225717,0.4472035330260909,0.45758610121488785,0.4307454775883048,0.46509030391542217,0.590045249245272,0.6124720373672976,0.6018186741119206,1.1563307573371446,0.9667980269666941,0.9433668884414903,0.5274152911200943,0.4857480702870417,0.4482464568590568,0.45990501445856785,0.47141722713911594,0.5096218661759532,0.5451767712868442,0.8344135230002229,0.56221323839035,0.6173806380279163,0.6982810214947663,0.4370587136815565,0.4320475486424684,0.44205054968971214,0.4711260481458574,0.5357819718161296,0.5379057945198736,0.8425770438240863,1.4295012717841296,0.9324869221596157,1.1605803459148,1.4308841525807174,0.808063661167886,0.6914806051949577,0.5082871527660898,0.49771524771568715,0.6017708195493122,0.413172815439796,0.4324394849743182,0.49858002782926025,0.41688996357463837,0.4649225660149017,0.4035932642347918,0.4137686894636291,0.45197214042476047,0.4606921689537515,0.47799282722106384,0.4473511725612627,0.533328688294536,0.5044690215960509,0.5648983523667417,0.5953860084824971,0.606168839143349,0.7257448891826372,0.756795313393688,0.8325259221588995,0.9740567237563477,0.6989160465334087,0.5831195110114604,0.6259128870579389,0.602294001988326,2.174412540998165,0.9948749916619432,1.383498312704188,0.6489384638632442,0.6894070375968258,0.7531036476860571,0.8056504409073226,0.6331258920853464,0.5031325570313886,0.7719065334518908,0.6787867785053604,0.7410741969194199,0.5547170182318817,0.9440345503411912,0.6233344807426293,0.6740194590993137,0.9124641430497897,0.46804358599306994,0.5355986557840168,0.5835276375064692,0.7303006325282569,0.8427153039154551,1.0271962821132885,0.895848163482142,0.7924623083072901,0.7927843125959673,1.0576474631117785,0.8343397088749938,0.6600996997098124,0.8343355753584634,0.8900303684111035,0.6392705311455513,0.7188908271727162,0.922109234400878,0.8072668267902159,0.6808965892154212,0.7319860805064141,0.6365832770331954,0.6462217699200723,0.6189485338397082,0.6142457415170876,0.5842119259277148,0.49067193886419075,0.5413672338347143,0.4787700583723757,0.48975308381353866,0.4478443133521409,0.4966270968035772,0.6180254021321854,0.5611077126451196,0.5341415670236703,0.5838607535874842,0.8233199168435662,0.7467821433958453,0.7430628549373839,0.9307113027220197,1.104797474577917,1.0551644427119389,0.7928966613812868,0.6133999118636367,0.5537650718579448,0.8295277957227508,0.7651195061305354,0.8114576155046567,0.7836815835986846,0.5907299073269803,0.48375896124516793,0.39590178417389743,0.4349012550781073,0.42397291343530796,0.5029859466019789,0.797912025056704,1.6116056415203672,0.5150398495768217,0.6117706143109366,0.9845997072546726,0.8435787240722618,0.5365705161339988,0.8184913891629179,1.5297516347195281,3.280131324213232,4.332992506526038,5.52535570978472],[0.5271649418746936,0.38300168150052294,0.3855999820028417,0.337172774609583,0.3867038369745999,0.39125947737073496,0.3100486974732313,0.34763155623975894,0.2957694509455588,0.28535805739310843,0.3464148964622181,0.4653859235600595,0.36092735110190755,0.3303892035169788,0.4883473756561191,0.47501312276389257,0.48020892242960145,0.5367389096373946,0.6062058065981925,0.5733850483696573,0.669238476761825,0.6565980007315924,0.8436448650862751,0.9630643751211373,0.7414977113613203,0.6753506268463754,0.4941863273911435,0.4650950903913859,0.46673981271515774,0.49577496742352756,0.6213602693810427,0.5853696114851986,0.7660947862219567,0.7244331628069999,0.6073287683723668,0.567201500229133,0.5303899033040524,0.4922196643787033,0.4489236528385549,0.46092572473130067,0.45948251655711114,0.543223683815293,0.56616368318429,0.7114813307942731,0.953594153700685,1.2761351312863827,1.4368151736681483,0.8311306805938633,0.8902147361287364,0.9723923926123826,0.8709040935986598,2.3663709577187126,2.115790452723805,1.0189321718784456,0.9186061354014483,1.1833918481838939,1.1609491588927399,1.0804003450030764,1.24314712181513,0.7746259566211955,0.8679831569997364,0.8198717512486855,0.8048338466535918,1.0873775794404064,0.735712762151031,0.6951820283314663,0.8893452795229705,0.7033647743302534,0.9195697373408422,0.7299743471737107,0.9145927294781125,1.2777144484789718,0.9248813861231464,0.9837672504733223,0.7921544069530408,1.591183409166098,0.7347467819137377,0.7610749376374488,0.6546380101981601,0.6764830831888509,0.6411578850196318,1.6604086341700337,1.979642682170392,0.7339825119500065,0.583196283318109,0.5513259014805795,0.5246070523143092,0.6146376143000846,0.5888573054781008,0.7033680787479847,0.6963356366551947,0.9971198067334649,0.8193375107538992,0.7714859678395499,0.6798519069013823,0.7767032836672333,0.6712207834747274,0.6730144159620696,0.6097044236836622,0.8695221122036711,0.6150235290629613,0.6163961490963944,0.5223845824900296,0.5365031277911237,0.5214236167369284,0.4893701182935849,0.6834219383902885,0.4121958095755235,0.45809974111813456,0.7359771423639652,0.3820789451335158,0.33273771472465163,0.3103194924166698,0.3630585416816722,0.3966303735724811,0.42708274205695734,0.46383056946583634,0.5077583790338822,0.6574020100080836,0.5711195422102341,0.507742616402813,0.472619694999577,0.4834173941167191,0.36304352132454487,0.3376945019779672,0.35941361851367765,0.4305144502140789,0.38156114592161017,0.33383467816968304,0.4062848587988517,0.40296468544754727,0.4353886097642161,0.4018919164013212,0.5081369337684375,0.4503706754218024,0.4983436387235195,0.7273218383649999,0.45405279725741543,0.5196126107978492,0.5066385687439565,0.8508239449112156,0.7694838370715344,0.5739138474687088,0.49328759994300164,0.4446003880272617,0.4258190516975505,0.38233954013448557,0.37867767453233103,0.346138722556571,0.34841402288464013,0.401946447920344,0.4877284020337491,0.9312947647617656,1.857915677551851,1.2385267585430273,0.6987333873066629,0.4872709376879656,0.4976665627458839,0.45080521648264094,0.46092676085514056,0.37469256933062367,0.3797473164288707,0.37761560004488715,0.3887480254468812,0.5468316424540982,0.5835024597836322,0.6310305490831515,1.1959335882274764,1.0023504882200691,0.9813293729585532,0.5472315286273097,0.4732846542623347,0.4076367563563824,0.40260121207852256,0.3909713123887769,0.4456781122485348,0.47425035198680093,0.7708103720053868,0.4814427342286662,0.5531990669328174,0.6866057475492692,0.3816444191195111,0.3826004807412671,0.3956038000414477,0.4389927812535552,0.4849689041087548,0.49207674555920294,0.820289342814332,1.4585546071553417,0.9838201982685966,1.1471469381060695,1.3352542976984088,0.817497205960244,0.7120063426379516,0.5173542170073431,0.5119476508029992,0.6051725539827505,0.4093594506759313,0.41988689674857327,0.5049642891407623,0.40548471559575033,0.4352813655163324,0.3854376295247474,0.399885993125025,0.4241845298379886,0.43346015759379647,0.46197259129629586,0.4357406720420008,0.5203057279006058,0.48267598672790635,0.5432523277309073,0.5723501180534344,0.583002928120116,0.6856301944495257,0.7336167979444376,0.811296012456591,0.9755264809502545,0.7056077744886807,0.5791216614535333,0.6228164096038342,0.6214231667846071,2.1198236230856136,1.0329591067071666,1.3794382613120866,0.6399651508878001,0.6700045780284257,0.7447934174669169,0.7813868223569225,0.6261014734348794,0.47384294531102694,0.7296351282158332,0.6417213278093752,0.7513351376800943,0.5400662022822088,0.8985652607169523,0.6634132759104074,0.7020252942688258,0.9281362963850482,0.4689922630295106,0.5101807130847444,0.5679568825063988,0.6767505123221128,0.7803388986140145,0.9797201619035308,0.8374760170213407,0.727845611731743,0.7586351008499079,1.0219647555875135,0.7918453003635549,0.6309186756083905,0.8135552446020816,0.8849695337012017,0.625655044126902,0.7055002595948503,0.9308860292783497,0.8210496372936718,0.6761058375241878,0.7277933560874134,0.6320048001446257,0.6304639985770062,0.592441454730407,0.5871870131496864,0.5697647890442429,0.476768566295079,0.5074556166713692,0.47562693735851325,0.49555456151083777,0.4320827518515691,0.4852570852818017,0.6276057109651172,0.5637729177779611,0.551654870266644,0.5891975637865974,0.8606590664093703,0.7674896718249838,0.7663821228676027,0.9441280349448625,1.1044813233053814,1.075709927242088,0.8130653605628866,0.6184726319596263,0.5507177797625702,0.8333203044155845,0.7822764905946501,0.8339017814246966,0.8074247941169324,0.60962476361608,0.48183023682248877,0.40061725090766803,0.42537416497042774,0.4170158639707743,0.4720053460974956,0.7542836623001081,1.587806274919057,0.5004723471148622,0.5705516444455354,0.9370340764688059,0.8774358088435876,0.4941062755159984,0.7561810561501437,1.3794943581169652,3.1337217183016595,4.0693636573431755,5.145046474077741],[0.5387471488563595,0.3622917588729814,0.42095956770691184,0.307665187630145,0.3686713664208489,0.39899975964999984,0.29303631848983985,0.37086145528850817,0.3025635902495127,0.288378779522746,0.36982083649701464,0.4753746550299217,0.3818948833838258,0.32868167195368453,0.4877063971692985,0.45493462657796496,0.45487655201230875,0.4957308806380866,0.5636352665505927,0.528128203846237,0.5911154346767061,0.5820818926445381,0.7604681978623354,0.8341976566116421,0.7371887057912295,0.6311025066409058,0.4532647333510673,0.4353906960938883,0.4510054017455334,0.4759805164977337,0.5871872184024829,0.5656046979909377,0.7339370900855626,0.6758990489229971,0.5833773196232936,0.5246869150117975,0.5241911898042297,0.4743099403834019,0.41702691498422373,0.4487436895813361,0.4000594598065593,0.4794822719048328,0.5212607208926937,0.6352081162777082,0.8623561627481295,1.2194235985588402,1.350064666376717,0.7506630757643425,0.8263132096609619,0.9208216983249061,0.8321008990514742,2.350893923774974,2.008529799886845,0.9624208585653022,0.9360609205145813,1.1774083092982435,1.1084165479825576,1.008141487978491,1.2437189366653312,0.7503822471254434,0.8185894007387716,0.794951401848506,0.7360759988941679,0.9816597132736121,0.6649198758601962,0.6417125367003974,0.8346567488488938,0.642233132151832,0.8544544297972918,0.6961287647923173,0.8932468390266127,1.258875305791856,0.8848950200814288,0.8965036786086059,0.7296777220875572,1.5006011093442524,0.668290135087903,0.6855866594664217,0.578864801165578,0.6040478681994222,0.576987270432939,1.6426367780069677,1.9888537203914498,0.7861550788618921,0.6072042857142321,0.5866990637535039,0.5020788214383292,0.5826570643549297,0.5246914230466905,0.6417685907502972,0.640412790516177,0.9035506465505417,0.7437493704686029,0.7075298952343211,0.6396902531854898,0.7200564912290117,0.6632070201360017,0.6464501366389589,0.6038972747245144,0.8656902498393299,0.6227264900199034,0.646843132680228,0.5351213904238303,0.5815793342799148,0.5613688756180104,0.5147909572389953,0.7101058708383787,0.42392777092848805,0.46647237461242935,0.7343972711134584,0.3891334941836238,0.3211559625416444,0.3085000377788157,0.37329618589115215,0.37699634782488317,0.3981213772981148,0.4284791772193653,0.4409741864393356,0.6018664725627869,0.5240260807512026,0.4592517250263575,0.43182129067494873,0.4348045624980987,0.34959573791260157,0.33016822197374207,0.3326655143463674,0.4118100634130541,0.3801478475093018,0.32567402804025636,0.4009237314057447,0.3894039039946102,0.44422013380758046,0.381747707891356,0.51093116450462,0.42355498818528087,0.47344088196692824,0.701480489280427,0.40235276047129725,0.4738007725408372,0.4564205061443884,0.7777668212134571,0.6807149886880505,0.5102196947325519,0.4416707345359722,0.40617088257606854,0.4063443526240074,0.3621505320212711,0.389354189542194,0.36396652048829947,0.36666288686441206,0.4196502401475469,0.4982325652835408,0.9689152273898352,1.8190521560445574,1.186325851279136,0.7067530380079927,0.5022367025872609,0.5357124499613972,0.4737653778788789,0.5164752012165241,0.37913607874525074,0.4024046837575304,0.35268310458433594,0.37272458459901087,0.5427692138369318,0.5331717447381611,0.5615963012399143,1.0979836351805534,0.9358571245580687,0.9487157619652137,0.49993453262674364,0.44902440991848747,0.3980050194889514,0.4071332795968071,0.4008641204515774,0.4492563146853419,0.47763002764394724,0.780103363235958,0.46469707341862515,0.576319647310819,0.6507018351386105,0.4026237204989078,0.39611083984181444,0.39972583638851383,0.42794777569588116,0.4731619789631573,0.4573840805994815,0.7814300413810183,1.4673033878455195,0.9629737125618214,1.1277238418390663,1.307374435022484,0.7755873094264886,0.6675034278462199,0.4666864877526898,0.4840031125183851,0.5834494661391718,0.4004691038286938,0.4231576524129135,0.49925787813108513,0.4268364305915977,0.46442452901049647,0.4019522757994216,0.4136904888335378,0.4491116717330304,0.4490007259783934,0.48353073485124665,0.45361174444041175,0.5326735805654982,0.4944093650756113,0.5672798478567727,0.6026045906694869,0.6047381857129966,0.7222308578443344,0.7638455531217034,0.8614267524810616,0.9872503058823051,0.7395482328088178,0.6052013858528592,0.6611715929107714,0.6451286160682741,2.166502454386819,1.0738307926355177,1.4324284618741343,0.6600703580687053,0.6875946876793163,0.7697066171986716,0.8187664377454539,0.6485782898875747,0.5073632385644563,0.7801845508619452,0.6813781032367385,0.812804374725704,0.5989134366360429,0.9103115818541463,0.6288450313024426,0.6795522877956826,0.8612140486631547,0.471240671868086,0.5190371069349228,0.5974147305838509,0.7190599584433277,0.7979941399286307,1.0096351298809665,0.8537338685169303,0.7566581064680051,0.7868792657840693,1.0320209171572718,0.8070369284497224,0.6476258370510641,0.8359129891556694,0.8981872084462414,0.6407648091976583,0.7301874793092227,0.9483867378616916,0.8247113259640952,0.6964794550591713,0.7532203309360689,0.6547599398731314,0.6595642824881667,0.6213153543871065,0.618075783311217,0.6080192728842104,0.5059194326043973,0.5384780778823329,0.5075132392013333,0.5262475091201949,0.44861308304374653,0.5122253523926424,0.6405351693785758,0.5992998594533401,0.5587075093306912,0.6172134363686669,0.8555994935190027,0.7763644916228558,0.7834966893134311,0.9203646495766233,1.0928302890050392,1.0921452846819244,0.8341526676708305,0.6529398230895331,0.5956298185744646,0.8729573228026958,0.8132692956939648,0.851532210656034,0.809284781768756,0.6189857230150849,0.48387836477860735,0.4054564396893406,0.41661623856197044,0.4171414492847629,0.48042365734219444,0.763722693852309,1.552430837600438,0.48773665607477495,0.5834448135253497,0.9261670733662963,0.8522636398776702,0.5077150311029158,0.7923117157311773,1.3830801304991192,3.05513496982346,3.9628984917563437,5.022872706936287],[0.5395919752547166,0.4147560444426434,0.41746740379065167,0.3573745369886498,0.41593177613172033,0.40981683789711865,0.3180941594021919,0.37761496613139234,0.31416111876070685,0.29644082130770333,0.35273858528120816,0.46304617859402175,0.3564070181601079,0.3309903052984507,0.4839292207109726,0.44169964833930536,0.46425490782213347,0.5089197433813677,0.567386664924476,0.5356881274982976,0.6291282483567098,0.6278710931656389,0.7966817049728341,0.918180763017322,0.7613360530810062,0.6467042751257189,0.456548005449716,0.43830117700026544,0.44419128262093677,0.4593927453553227,0.5646136345662316,0.5300837974119865,0.6863753004929826,0.6360439344312053,0.5341489124114508,0.5000326321710332,0.48059111705749025,0.45654650391468776,0.41415542824099083,0.4108007443186576,0.44703844082189287,0.49892856840909006,0.510915038962871,0.7288087512774694,0.9628899678471508,1.3043327917583107,1.5059624570457248,0.8613251366826765,0.9244368426009574,1.0401762007105086,0.9516857091675426,2.3277486328048735,2.0918395047574805,0.957259090623596,0.9944699924029582,1.144319038265691,1.076421657651732,0.9692266877408441,1.1754821490125562,0.7414358350351444,0.8345862898334522,0.7635146402383661,0.7174322550520028,0.988363613329667,0.6842124755601162,0.6323809478011179,0.8484063052167454,0.6609906179053922,0.868378956522646,0.7263334836486658,0.8871249201019832,1.1952289551805608,0.9010308470846289,0.9407097196679269,0.7390931300848007,1.471272583731835,0.6573024356126369,0.6556031497081376,0.5558830371232343,0.575176219940992,0.5492366277475483,1.7586415083865954,2.007463284165548,0.6086863277031218,0.5690718705073992,0.52720912966116,0.46684471141909645,0.5413847822983123,0.5044741026168478,0.61687112838427,0.6202748949998222,0.9141565721989714,0.7415831163151831,0.684650037527138,0.6177443606007219,0.7102018714250492,0.6446393960908025,0.6060117465568373,0.5677626481823949,0.812144780878867,0.571468184373969,0.5789423619091221,0.47817934872615275,0.5301728447738562,0.5193878311231096,0.49123435825430983,0.689282338971632,0.45621887190431365,0.5103002930774982,0.7685070128465398,0.421938293736984,0.3571188923629869,0.32712194914668674,0.3789985987380685,0.38408359411110954,0.4057552402859241,0.43416671093179204,0.4697806350483505,0.6211793899533088,0.5455715480851806,0.48857704418688597,0.43354263614739413,0.4539267073636566,0.3535817068486167,0.34829877210458143,0.37757781132929835,0.43742587244386555,0.4092000696103931,0.360141818849507,0.4237853302274163,0.43284704204498886,0.45645615501012715,0.42958814226876385,0.5022848533443591,0.46797217409089376,0.5415082586987285,0.7682562868254716,0.47897114993182566,0.5119678565512558,0.5016204113768258,0.8220400838432427,0.7383266486676195,0.5351984742923533,0.4653600116959998,0.427948913839592,0.4102771213593925,0.3739648150753413,0.38846975781492865,0.3553061291059909,0.364290154235142,0.42420779435618433,0.48726464727823365,0.9044933618735493,1.7883498957868909,1.191708770807337,0.6442467368289683,0.46106288589141387,0.47556492322772986,0.4235659721113977,0.44778188891958465,0.3900963160652197,0.37970752526439816,0.3798016344800613,0.3813253661272478,0.5425660222752361,0.5684913220588886,0.674600667224339,1.2372254120588038,1.0537669621217858,1.021666837417867,0.585982616288373,0.5014788006864351,0.43316072931134614,0.4036242784207731,0.37563389355753596,0.4273380000188465,0.44486448680920304,0.7334619453898458,0.43794054949587513,0.4947376713136383,0.6856955162320066,0.3900505075653067,0.39152147543803784,0.40857994731516106,0.44747357440087676,0.4816416800935705,0.49916187207099594,0.8686402343223651,1.56165281189654,1.1195337651522559,1.180635761915178,1.2909750699541127,0.8787951874833861,0.7592955321812621,0.5488641153971742,0.5536742853554327,0.629442726894273,0.439922952643975,0.45857460298254915,0.5221281056442665,0.4324496771427245,0.4530625021167746,0.43110760393595193,0.43387611460321607,0.45048869543335607,0.46380705377765474,0.4894223364889273,0.4793995369902438,0.5693523069175794,0.523168647857366,0.5739377900709681,0.6123539429209504,0.6288616016994125,0.6723743198092739,0.7497365375305718,0.8242770259601008,1.0193186437954378,0.7228808870488658,0.6002757285118957,0.6559216364491758,0.6379461574328312,2.0339217997994203,1.0099032933764496,1.3358037760909665,0.6409228633665008,0.6653052991424571,0.7478638342701441,0.7447360648557136,0.6535240270255539,0.49364891771089964,0.729263335879369,0.6420054328908819,0.7762552895084791,0.5637007196984192,0.8623109110946775,0.7269026600708323,0.7332688755437782,0.9514715904252167,0.5019951881514745,0.5255357437281812,0.5538847139258067,0.645098298558955,0.7472213775447185,0.9490135426513481,0.8303006803732855,0.7025647110900471,0.7491470034235639,0.9977737850491778,0.8055863830901935,0.652156945687731,0.8325753074524147,0.9210864820677513,0.6615616796928272,0.7368325638665817,0.9766546666598044,0.8858397758195589,0.7077616352139968,0.7545342135701636,0.6765777281616859,0.664712383340223,0.6135169132594243,0.6053592143409853,0.6029294984657168,0.5158985961289002,0.5240085263523002,0.510700400772222,0.5285432736584702,0.4595555763388284,0.5145052286686321,0.6775217809977783,0.6074265021798738,0.6104581425107847,0.6402599605113848,0.9205524546740226,0.8106814834987983,0.8126148874615062,0.9783501789579309,1.1073037918098743,1.0803761628579611,0.8333171675396309,0.6413791489841366,0.5639717057956753,0.8404760659964007,0.808117724613954,0.8661828665454813,0.8334193788533142,0.645131554344242,0.5129139594095014,0.43375874822012794,0.4533057304226931,0.4531855967676556,0.5047416335839509,0.7389822175684164,1.6179094077488336,0.5495800243423342,0.5690842597594027,0.9191540686090625,0.9896392780912551,0.47418892478712227,0.6874393972591758,1.1788135499678565,2.937880095360555,3.7422256546937227,4.68977301523486],[0.551445118057461,0.4375078003295688,0.4722105027361306,0.3516970293205323,0.4281707021150775,0.407628534709046,0.3272854137753341,0.45213484744895593,0.347744570982842,0.31053529451278383,0.3750332858143596,0.4779077855735335,0.37503699626425846,0.33455605171431385,0.47177915378568513,0.42869329812266044,0.4317928248519951,0.46489793124141443,0.518446530753333,0.4925306475450898,0.5502336051555745,0.5639049501339742,0.7089663902811733,0.7779324453405536,0.7631567226228672,0.5966020449351203,0.4091064877840089,0.4006904812568328,0.42402955524711483,0.4381083537807726,0.5276012071604522,0.5320622119163716,0.6529711524944091,0.5999139658304695,0.5207847119865899,0.4607123709258155,0.48430432911681076,0.43699965214492026,0.37690498931009647,0.39047034590350643,0.3834443663205821,0.4503862738718702,0.47972835109633977,0.6676752807670793,0.887084034857305,1.2438317334526594,1.418436961939852,0.7778232984266585,0.8601344213764472,0.9924134918060902,0.9239566569123205,2.2682522872450956,1.9408577536820875,0.8870603763346226,1.0617148110776782,1.1669267159223295,1.0168485060247754,0.9060293488828143,1.227044806019115,0.7364032463881467,0.7611685906534641,0.7556721751765968,0.6537461199248858,0.8912987892250259,0.6000448549938817,0.5816244738561049,0.7975167209925812,0.606073630765855,0.8316444770792969,0.691807650927857,0.902436939035571,1.2409510516691231,0.8756260764875188,0.8683527491582592,0.6802776700707522,1.405622164203069,0.5985519691657086,0.5958654096186615,0.5009543288799195,0.5287655714090547,0.5004838637359318,1.752448714043415,2.0330334055304125,0.6776368727521266,0.5829093187982903,0.5922522850730436,0.4595177193800931,0.5330835678980889,0.46127089697876067,0.576553640680112,0.5796057146753123,0.8179383744606272,0.6716833649859909,0.6245151261745695,0.5738653270319725,0.6503801319685024,0.6264383823659814,0.5825775838385782,0.5809940323939777,0.8547352799565194,0.6059735815783086,0.6511206979490927,0.5367430840128606,0.6245037760660626,0.6203019875654615,0.5838709380252171,0.8238565668306146,0.5337499507837887,0.5915860616244875,0.8110322789750559,0.4864032084125724,0.3902402723247336,0.35223348496184326,0.3809695579804382,0.3584706746238556,0.36249900838553195,0.40182682599977676,0.41798991072787056,0.5590413208832695,0.5028512710143888,0.45090121359292284,0.3985737066611091,0.41557874096589814,0.3180005432784236,0.3327432369594586,0.3694166970438883,0.44681928879028293,0.42111196168975346,0.39386606614277686,0.46226948891100933,0.44113450377536,0.5054299414728283,0.42417753420442345,0.5496536177043524,0.4592845089864985,0.5293312682243456,0.7700535458178412,0.45718437420979285,0.4939896798838996,0.44605936036575855,0.7740956521123752,0.651611635352114,0.4836639114355027,0.4151803831388601,0.3796848788071337,0.3762067389294441,0.3398293087439406,0.3848308560826534,0.37940129966615227,0.4127939548175919,0.49683402746046734,0.535007803602198,0.9951513059210841,1.7101706939946313,1.1411613707993675,0.697724589559962,0.522447937258253,0.5652775643076993,0.4783907663308106,0.5320124190296405,0.39875338708220065,0.40089681093987617,0.3567291408354739,0.3655291557652812,0.5612872279239268,0.5189349776997905,0.6233687913562808,1.1532298412906719,1.0138483337578905,1.023691174461467,0.5652830473141683,0.47436157756407626,0.43150675429982505,0.41061525417859185,0.408219460193895,0.47845950677079796,0.483899782834335,0.7841334354014075,0.46952688541563553,0.560081186722893,0.6693184455434324,0.44838470740033554,0.4194338382397801,0.44063916390930113,0.45630751417172744,0.45404075321118403,0.4655247046370204,0.8321695718667141,1.552215716509862,1.0690651390005372,1.1316539158698313,1.1968175152666969,0.7947618090702072,0.6969051440896927,0.5137825765716947,0.5280608951405197,0.605327097406944,0.44830910097248017,0.47958553805142906,0.5306829901562933,0.508986100329195,0.5609653031454942,0.4988069316757535,0.50020843823687,0.5461893327619622,0.5450880123819702,0.5220269930181413,0.5455356851600252,0.6619540052063371,0.5789181057009677,0.6374671933951969,0.679674036180701,0.6838820915277585,0.7552773368940866,0.7950817823825329,0.8691343061238915,1.0705863422548356,0.8043764182042673,0.6632098127717303,0.7338187301439898,0.7203570351019549,2.0679059626517278,1.087342152923987,1.4149884774577954,0.7292791106135786,0.7666512929122421,0.8376078276957518,0.8254780332858809,0.7505438800884249,0.5976195249024117,0.8497988892632176,0.7044929385368334,0.8363479211032097,0.647798819535061,0.8994963629976472,0.7477787869521005,0.7718935719110098,0.9058560650743445,0.5378154570693143,0.5662697816988793,0.6271845280090205,0.7442854118650201,0.8546419980913191,1.0976855707966804,0.9376926148517443,0.8042277260740461,0.8804366905622639,1.0951579062525745,0.9187582467308547,0.7672981921495583,0.9525813487390676,1.0266113320525734,0.7737704732650268,0.8702063152727062,1.0900220561303076,0.9695265040734012,0.8124703490678308,0.8696532523641086,0.7753160005628473,0.7944496496081598,0.7380475966897817,0.7203351614343726,0.7077480581197378,0.6116991708731058,0.6483672224900776,0.6137771300594858,0.6149267477025145,0.5467414001629423,0.6095423037314138,0.7274965543224242,0.6686723819630382,0.658687195080407,0.6651211060108262,0.9492586323976459,0.8409339255793578,0.8442938961230588,0.9794988867033272,1.090128948312998,1.1518082123866935,0.9003813200010939,0.7066296047379459,0.6381711329669382,0.9037716356401282,0.8692954120272528,0.9104727395291571,0.8649639457519512,0.6786761689024402,0.5151468980850333,0.4653535501051908,0.46638105571558375,0.5017614306332739,0.5523012039731973,0.7529653929980683,1.5830069881704854,0.5636664862869779,0.5911091275619195,0.8565539919150839,0.9713957133755678,0.491739764625102,0.7324119015086776,1.0995838663248918,2.5185117495109686,3.2736998306764042,4.200890676619916],[0.4885190148169588,0.33717548450329177,0.4219380987513296,0.29239910063502456,0.37678685997663847,0.3720775639912069,0.27490976427413427,0.4385529132405753,0.3307519754219103,0.31620953442261907,0.39093511525585234,0.49177409130341115,0.38123966210953386,0.3498559506933439,0.4813310621535907,0.4419307657414211,0.4293361213896927,0.4512862455905064,0.4976798441391486,0.4684875104513294,0.5267405625624002,0.5452900697445258,0.6971248238531654,0.7171318216890975,0.7725600775134857,0.5618216037930039,0.37547665015291376,0.3673524205261176,0.41201505061878324,0.4310638609811787,0.5310741914656001,0.5527052967500574,0.6538798740029237,0.6005496251949604,0.5235103244583101,0.4501743488240484,0.48188978369308916,0.422472748463808,0.3605418963582989,0.37275818356884,0.35633599898620205,0.42003155824147415,0.4402551577129945,0.6621981319861074,0.9024087894182963,1.2733415845126124,1.4611800617512605,0.7966774420302479,0.8791586709618867,1.0184720746195117,0.9769559519058308,2.265070149712671,1.9154226701773742,0.8597313777009595,1.0847078332379652,1.1565374524029746,0.9492254749759802,0.8468596887647059,1.2092457463689612,0.7084140872436908,0.7448393270786974,0.744986990089734,0.630981114146622,0.8371949894565359,0.5685293111634515,0.5469685689083843,0.7831926114594021,0.5937263501086244,0.8160856511688713,0.6983478932487532,0.8875496321394764,1.2034292250864624,0.8743271222803923,0.8573992039822033,0.6695583002802548,1.3583584830834683,0.573358903080442,0.5872215234029972,0.49177231349362943,0.5052956673436895,0.4828165666407597,1.819976778011958,2.0743299486567737,0.6239151144208013,0.5314853796350789,0.5465834466763362,0.42912359502394753,0.5295106558913115,0.4433106434393149,0.5777492100997115,0.5817051413750703,0.8069356214734902,0.6750005778107337,0.6348457165167678,0.5883523031220882,0.6567427624747955,0.6467101529147425,0.6024084278334103,0.5909420582898888,0.8586420477029018,0.626012184142218,0.6665486332791044,0.541839286314131,0.6153267634105966,0.6228451812886721,0.5885694486709045,0.8411832802791869,0.5222131473236349,0.5642751287871624,0.8165613920631345,0.47793958024724026,0.3535581449567289,0.31809451276352346,0.3620815403408826,0.3466003257010509,0.3252173495494977,0.3718525233417479,0.3855833065639831,0.5248116008178059,0.4707594510985897,0.43277915458787475,0.37059523174289877,0.38490756867759535,0.28865771047187233,0.31072327895104307,0.3324120469078037,0.3788188676084624,0.3750901527283001,0.3684744799926169,0.4562672035383219,0.42272777773568576,0.49085056611533856,0.41908947066782726,0.5206059506814034,0.44591181134792984,0.5367193988247889,0.7489825887502986,0.44736832329263654,0.4825164740491485,0.40855545438264973,0.7451871783030233,0.6228003256710719,0.4391980394583591,0.37298482190072263,0.3445373716484888,0.3561456724941116,0.3167128058487163,0.37962869808656796,0.3639434304418974,0.3926505690207366,0.4720870117639618,0.5142763619073647,0.9649619908528565,1.617663264154141,1.0867950037787808,0.686054228590513,0.5204924228928983,0.5652719751310966,0.46987235686335826,0.5243480673679758,0.37505981900962226,0.38418320377440784,0.32722883092040445,0.3298611610414533,0.5081872471876326,0.5006565094118507,0.6076212756588651,1.1475731793855883,1.0151302133939626,1.0264260430522498,0.5458730253847084,0.4637002792841236,0.41369983787118564,0.4251754263150517,0.3952608760186674,0.4678220764787634,0.4730537282987042,0.7618787124270724,0.44518824710031146,0.5491776122299903,0.711960235607599,0.4410007038447214,0.41156815432120075,0.44770021907545876,0.45189007860687186,0.4560350142855133,0.4430987427477843,0.8383030201682575,1.5922776214117624,1.1068027778172005,1.1462114529076108,1.1726801148512482,0.7977219048380664,0.6992466438803514,0.5025395467464608,0.5305926907579251,0.5977098141874344,0.4308532573704262,0.4593757039422899,0.506125520024015,0.47215990296863847,0.5405601927899018,0.4660014273489709,0.4520325374925387,0.5011442406917778,0.5071642416515886,0.49110328486562954,0.49289196525953705,0.6249923363841976,0.5201377240740338,0.5718750068676189,0.6260546084478107,0.6363547822268171,0.6980626862764688,0.7435117934459292,0.7932089071174672,1.0337720405524002,0.7706317008365537,0.6167629870674909,0.6948962751966963,0.6889398863085985,2.02073040105397,1.086048839946148,1.4185298906389407,0.6856671984181999,0.707846167165195,0.8311849376650173,0.8027134348750488,0.7137317689752196,0.5653265698833913,0.8373574062572935,0.7004738485133534,0.8735505878145537,0.6493406864369533,0.8234479033144095,0.7465407413477649,0.7271578391307398,0.8582054128907622,0.5099993703721916,0.5444286888530182,0.6317573315136166,0.7312807306132152,0.8322940720620493,1.0800096113951851,0.9336463463367504,0.8129431482315436,0.885292020144118,1.087720939302192,0.9252307668597404,0.757032410409098,0.9614827168345207,1.0462840975208685,0.7609134648220659,0.8623856100255046,1.1015672099885463,0.9872904679093271,0.7968966825094995,0.8635644160325042,0.752689818735104,0.7651715723522974,0.7145818900509605,0.6955981856363014,0.678030122980494,0.5710722110407869,0.6026727544123428,0.573542630243637,0.5809303123191909,0.5027117014540066,0.5646387994963704,0.7093058737762855,0.639972982223944,0.6154944123692477,0.6558714462189519,0.9117890572925391,0.812061868119833,0.8200901998578594,0.9567240320564061,1.0755152720418832,1.1724005597388598,0.8831928850719352,0.6568788283512267,0.5963469021292264,0.8940472111010139,0.8729678410228339,0.9149458179064471,0.862945064292119,0.6628320028941879,0.491258445696066,0.43704747632010876,0.42441936285940823,0.4660915819305323,0.5368885402901911,0.7430029056758253,1.5444399052748785,0.560687578153573,0.5567322818442622,0.8588771150144401,0.9971734405197851,0.4219056114968298,0.6580059524078554,0.9364946294132139,2.3299063153561277,3.0294241615994126,3.9020672606452727],[0.5150773063478413,0.449762206172184,0.515036547496644,0.35249422762354865,0.4450821851182376,0.41552640161281695,0.3152294242648059,0.45720620902582804,0.34314726120931904,0.3331181365311241,0.39249845615411877,0.4931142102797748,0.38209556055900534,0.36632241323174347,0.4919907555370588,0.44963311195824746,0.4385866913213945,0.4769783899923514,0.5336439596111751,0.4819117901071328,0.5717164874121501,0.5810667056636298,0.7500054493446473,0.8101462635570246,0.7853162974462026,0.5933354780050101,0.39766895079006553,0.3835816193524841,0.42443027882631895,0.4355501782201394,0.5466361830190029,0.5575132053738938,0.6631700531761343,0.6117314856144526,0.5261831630469652,0.4568229994076417,0.48017376354002533,0.4237145617296609,0.3650712746614237,0.37308625674871726,0.37600069916609563,0.4292582479030245,0.43442692076703165,0.730550855918845,0.9859338521191842,1.3511821395730301,1.580111730148331,0.8954166816133249,0.9536167138210611,1.1007085167680393,1.0521226151101888,2.289963297404932,1.9705727355756453,0.8746399755711968,1.078667259331994,1.1339809073243978,0.9337590580211035,0.8468069129397584,1.1952494936043454,0.695720150027687,0.7757464434587236,0.7513611004759336,0.653442589413152,0.9045062128930194,0.6170263066350206,0.5631207601632731,0.8145313179736068,0.6238991666822399,0.8487156811057882,0.7293940974166272,0.9120565042655383,1.2250809443505708,0.9053133438253961,0.9167167421124763,0.7119897707507497,1.3898379335397628,0.6072616508681519,0.6053524175808236,0.5019073829851756,0.5198539132846844,0.4849360858445552,1.843838350305895,2.0812694813895716,0.6006435427059615,0.5062626764170037,0.5298740123560821,0.41918680712585044,0.524979589029669,0.4484870619998982,0.5889546389939753,0.5935780855718773,0.8397320277543523,0.696727752217811,0.6549489668295592,0.6055500988714084,0.6779552996553052,0.667652852549125,0.6108166801120483,0.6001370349702856,0.8651581443305566,0.6302646935530747,0.6740459158709953,0.5400692305844722,0.6328349249205468,0.6403958147402257,0.6196534269387582,0.8873466959028882,0.5678195787453005,0.6076669966149519,0.8494070800284637,0.5308299270315177,0.37910338767293755,0.34160192344806,0.3685310755060343,0.354855848585099,0.33820422684422113,0.3845753918424136,0.41841374312546586,0.5774789905763734,0.5056925380840862,0.47459696765562015,0.39796408564070895,0.4271192156717042,0.3356927540682122,0.3439429428670677,0.38827661074554287,0.4214436188895186,0.4073213575722141,0.42845638056576935,0.4963175594356841,0.4729954826010449,0.5306917624246913,0.4782652188398602,0.5449359116632033,0.49417739508849207,0.5936541246003343,0.7956640801791638,0.5006844235505771,0.49701286365185826,0.4323413766168819,0.7487281941323198,0.6753431994736714,0.46429533876439916,0.3903836113886777,0.36149039736259403,0.36716236105251765,0.3264216775880447,0.38568450236425594,0.3726019230021782,0.41296071016338903,0.4899726831346407,0.5239322111700055,0.9743968821243463,1.5758332463406224,1.0714747419468689,0.6942062026211271,0.5284662846791566,0.57724879913709,0.4709667234552073,0.5292048677752013,0.3699936211646223,0.3732501638263766,0.34225495693757046,0.3293811352241798,0.47155752127940287,0.5674879032170319,0.6782869846099545,1.2417076032245393,1.103185002877581,1.0754709006037104,0.5993884576448161,0.5102231385873245,0.4250490791018159,0.4439257787738996,0.39684448197200606,0.4687161157705646,0.4742923553777858,0.7639827571179127,0.44358652360127016,0.5496882406888169,0.7552781168906856,0.4612040977250713,0.438344766440928,0.4795405077466064,0.4823002765146647,0.48967904611525587,0.4743672033807823,0.8601470848798443,1.6304312246859336,1.177949036744655,1.2029724089844347,1.183117371859192,0.8859003571368891,0.7851820782238841,0.572560615774097,0.5992965704606001,0.6507963417669,0.48543108972604554,0.515172630792102,0.5582075065085019,0.5548285716176848,0.6359266342671455,0.5374247796361444,0.539230537689391,0.6238610539062489,0.6200458969645812,0.5587938897539364,0.615312405873375,0.7805625458387145,0.6383366012582746,0.6644559000919624,0.7710588872729931,0.8052432806306274,0.7489382847265686,0.8253398234021555,0.7907929452338297,1.1042994674416302,0.8450271784479245,0.731073728787336,0.8215282283246235,0.8563132427214968,1.9619101796257483,1.22245991688533,1.4577535481846564,0.812743146533295,0.828051550254157,0.9376929660294339,0.8716014005595346,0.8656761412666403,0.6775478396754172,0.917680383129061,0.7647770235800064,0.9185520317656696,0.7060193532077689,0.8197715911238379,0.8333125263761585,0.7839146508827558,0.872643933189515,0.5744055873365352,0.5988352703013704,0.700109969023191,0.8009730896969404,0.919114413502588,1.18216792328786,1.0296678512892699,0.9078524482152609,1.0178783441319619,1.1999120544504196,1.0311223950228954,0.8906450313096692,1.1138970823355978,1.1857691744966359,0.917513028164284,1.0516082265074862,1.2898942665371178,1.182309731737332,1.0010437166767674,1.0851453747103197,0.9483305761825287,0.9595659529697473,0.8843588060445956,0.8645588049975089,0.8636116973990325,0.7274617296375426,0.7353430875804517,0.7251601648512411,0.7146272799748216,0.6060957643981987,0.6747204162445604,0.8341561316379084,0.70715802564312,0.6990987097208287,0.7746580877414234,0.9947307971022863,0.884791018945245,0.8812006134602286,1.0523670681984254,1.1337825643853081,1.2771498276375917,0.9331157386127055,0.6926271230001035,0.6379367417836255,0.9171376218008294,0.9196067162202062,0.9830405388326054,0.9105647067925402,0.7110082950026686,0.5364196808576139,0.49043417621831553,0.4650324972622476,0.5202353536442589,0.6029861289038949,0.8159682660115349,1.5424784961539177,0.638993113951283,0.6549877212753336,0.9118898758822472,1.047455453706047,0.5304539389646887,0.7261529425540246,0.9279973501172043,2.0307771084869732,2.7952915701053027,3.7423550410583335],[0.7259248228961295,0.6849547376327768,0.7899476745893097,0.7762961650557477,0.797233933045906,0.835023352907788,0.8069959789812651,0.8615279256919154,0.84083571399533,0.8776256110719339,0.8836551912385808,0.8806013109841474,0.8764655048702615,0.8987814865369327,0.951228308992517,0.9131845898552906,0.9427611538777085,0.9715754755870523,1.0009488733723928,0.9660624403856612,1.029010057166077,1.0208682923864607,1.1044225251646864,1.1114329120442807,1.0982627495733004,0.9841105885356608,0.9029559941607519,0.9128132695679122,0.9410998519809063,0.9253033017872395,0.9460498350055677,0.9624173220131714,1.0265850873946298,1.0068611588016534,0.9586312227022469,0.9391576724836421,0.9429674845963602,0.92545143652802,0.912243508321436,0.9343479347088056,0.8701085027278265,0.8885457463132458,0.8965128710295707,1.0575016921175926,1.1727248157376668,1.5029891947806107,1.6215229855723452,1.1515866897649185,1.1547118120936068,1.1715748001077124,1.2629475309069897,2.585253320939284,2.080004785590706,1.2133174697719653,1.1595893086920441,1.3680362453464698,1.2136760028179459,1.1069384853594604,1.4037171296183464,1.036635217378409,1.117630109818082,1.107939691955287,1.0683345632842198,1.2530396083087814,1.0324608929779755,0.9920591386361985,1.1763948534475175,1.0458309792037632,1.1543894304828766,1.122287536233407,1.2783709517579043,1.5323614240026733,1.223553262809476,1.1857761346351416,1.0410677670166812,1.470058182775711,0.9998938328589513,0.9671995794969087,0.9400326017529951,0.9854680964363288,0.9283530290798929,1.882214752378278,2.1675489638118868,1.067564717622314,0.9664035340169416,1.006059297796561,0.8956388531563115,0.9798959965077915,0.9262790119227735,1.0023855887130584,1.0076581025728635,1.1207251793095097,1.0473613393327346,1.011883994456779,0.9890058774505042,0.9962988643382659,1.0271311139863857,0.9694187474458628,0.952991197152719,1.1077837927281065,0.998562171747929,0.996559772824499,0.9474020687636721,0.9756860656440622,0.969854720688769,0.9674357387199487,1.0954353843672895,0.8204807230164244,0.8012498756585598,1.0363427034206218,0.8277536691061125,0.793037893240851,0.8164472297428985,0.8665497255727757,0.8778615167057775,0.8904524117817214,0.8917225845183975,0.8462050615950992,1.0102687848875107,1.0073601630649276,0.98306607043909,0.9341212831369994,0.9053963606585921,0.8882043968812658,0.8782689554694846,0.8582495733736206,0.8186198753671039,0.8032087345487995,0.8002605255625349,0.8557202950223183,0.8137430058487075,0.8658312299849666,0.8214683553361921,0.9025132732296457,0.86033278779103,0.9099668145285875,0.9216378406549174,0.8229211635696949,0.8140603652833394,0.748206242515099,0.8042296268488773,0.832695341331026,0.8629513149605049,0.8338229120853403,0.872495024650192,0.9019360576740713,0.8690433216388265,0.8944472251738567,0.8616804243640505,0.8688737631774623,0.8596988098336376,0.8722070971089674,1.2050937427417994,1.5867046097519615,1.2008699385052843,1.0093709842587664,0.9284831282098015,0.9477442633585583,0.9151221672025892,0.9560731121505389,0.8302550597230031,0.8827498371592014,0.8366363168316976,0.8502696093495535,0.7904905273621252,0.9140334645550008,0.8462845638842222,1.1099758144756808,1.0707667190927337,1.068697607321019,0.8446556711069565,0.8264995894705878,0.7987261115589629,0.8677687383660019,0.8766614757386875,0.9034187046578179,0.9246661325625085,1.068418909168022,0.8976866606544335,0.9607162069301859,1.038854226626794,0.8730142493600812,0.8671308890370862,0.87032883936989,0.912093043582641,0.8976634090066694,0.8515073878049882,1.0176026927235835,1.7276677475364333,1.161572611337721,1.4486557007566292,1.4206168278322904,1.037736578305174,0.9655287963008097,0.8464725237510792,0.8455838276177339,0.8548781296520794,0.7309576635501824,0.7406390897305686,0.8107681494558161,0.7191213649035553,0.795137532125763,0.7329127606208596,0.6948520962105333,0.7222356376025696,0.7339316863726236,0.7149975687903277,0.6870422894589061,0.7995089776073221,0.6933683460782738,0.7080206052125224,0.7461518767047329,0.7732906270651123,0.7940971614382141,0.8084638675721678,0.8584350430698634,1.0232735522006897,0.8774281194835472,0.7568893207611996,0.7893886788566514,0.8147815032683126,1.980097466002485,1.268483849450851,1.5468711499146994,0.8489441672512912,0.8780818209904045,1.0098063337221284,1.005043139271907,0.8993365017317474,0.8263244816617933,1.108534284181109,0.9100992633191269,1.080799490151185,0.9455120139940947,1.0587834682955126,0.8920382818428989,0.8105706174713959,0.9015102184398034,0.7459882336008057,0.7738175344931115,0.904519647168347,0.9762008235305548,1.0684146778878678,1.263341485628256,1.1375590746931303,1.0443418401374647,1.1080594376682507,1.2962756958781667,1.1458073727438485,0.9680765934649721,1.176403751126886,1.2432714756469478,0.9590093855867424,1.070896137312496,1.2993352890677754,1.1625203977911658,0.9660659388173747,1.0453541779120508,0.913579342675606,0.9647099350302324,0.927353609052154,0.8969830208944225,0.8572114963863371,0.7598470115360133,0.8029799429534246,0.7539016354046234,0.7445861220609512,0.6938329696193276,0.7642055320201807,0.831289777874536,0.7657610401753419,0.7183515953352753,0.803701095867827,1.009633633052269,0.9523666611303125,0.9713840318948669,1.1133485550956161,1.2034665324327296,1.331041364923065,1.0614775580897589,0.8302295474376026,0.8436254677172873,1.1486029659553836,1.114564603895313,1.1378722439243258,1.071592683700662,0.8835490761592212,0.8042290950193715,0.7627961232515199,0.7778029777297042,0.7618011354425644,0.8174142676548309,0.9781625661184311,1.5089462620309004,0.8522933221891567,0.8158400308009903,0.9928304799099146,1.111043344607642,0.7730487002883699,0.8630306017540178,0.9841653706458817,1.9565576283233268,2.761289015235127,3.761768944013188],[0.5761426374499695,0.45393993160602986,0.5574096517897462,0.3776157982290379,0.44716094552233115,0.45459659620903686,0.3904094592440221,0.5414624928941661,0.4378070636230396,0.4144590279984587,0.4677072529738272,0.5684845959821868,0.48300843164879254,0.4181382478632942,0.552839537748295,0.5330779684424348,0.49488742425893845,0.5036255377816121,0.5453536105047179,0.5314953555138305,0.5461551567648912,0.5720797466326955,0.7106388947609066,0.7098312950018335,0.8138055731475317,0.6179954738363395,0.45312903689052775,0.4592058868539022,0.4990017492800755,0.5286082435734827,0.5857408516035552,0.6656495862560183,0.7440131939053546,0.6894270279714235,0.6434612334690605,0.5487243049820287,0.6119823462759976,0.5274645472600179,0.4774627549752263,0.502424920774154,0.43752914647077157,0.5157785064850682,0.5691591337953574,0.6604386329960785,0.861880788722947,1.209147625523175,1.36419869607972,0.7224199939643965,0.8092403985207137,0.9382918987237279,0.900480573093873,2.23175639442905,1.836644302388575,0.8863176122129053,1.1290914831393088,1.2453362707864704,1.0578024780366333,0.9383514015123207,1.3207672762869647,0.8066389834041348,0.7382115569149198,0.8173327460095418,0.6785023230087994,0.8232249886975705,0.5967508691412623,0.6245805231684907,0.7981679527539464,0.6143696407461605,0.7905915640689639,0.6761322438480247,0.8799635207855778,1.2163349185323327,0.8448754093809568,0.8256658314691412,0.6717565419390691,1.3805275128465613,0.6357042384805585,0.6648528104781746,0.5850556530957296,0.6063409010112943,0.605996383952413,1.7305230908151576,2.0498107581330935,0.8295356776163889,0.6651506886984254,0.709780526039621,0.570783696664128,0.6532621361555824,0.5464063227153946,0.6512707587158592,0.6464225426470435,0.7859729652940117,0.6944733281840331,0.6798191207291748,0.6394659551814862,0.6821603839447714,0.6998682273186974,0.6767164188343274,0.6933144610276778,0.955306071208688,0.7412610906698162,0.7958103802325609,0.6939575643404535,0.7694844932804344,0.7634590916801081,0.7083601046458794,0.9710041774915383,0.6258985507102434,0.6337030219074539,0.8715652580107359,0.5700508504965466,0.47605050510035685,0.4376370990998439,0.47235877806174925,0.42860995641860383,0.422842992734703,0.4573899673129385,0.4459681296836791,0.5537879458816044,0.5175829774770853,0.48188866139921954,0.4461041859607654,0.42609379902169287,0.36539935207859436,0.3930698859534224,0.40209117093925834,0.48027152283290997,0.48788762911984884,0.4736057283951982,0.5565139266471542,0.515199887075338,0.6119088861043775,0.5153505221848755,0.6502288848679516,0.5134120610292137,0.5441634939722837,0.7468258672318828,0.4941017904616581,0.5390289400555431,0.46332608220699867,0.7620628179061995,0.6245696805321279,0.5045935427063395,0.435561647246803,0.4304081250745769,0.45525751839505557,0.4114168855190859,0.49103435221426234,0.48870324196851317,0.5143450509750613,0.5938570495059966,0.6276089288930078,1.088765724886142,1.5922466094525414,1.0917736476824664,0.8090682260440506,0.6481476895929352,0.7006560475250191,0.6085789176720611,0.6703206410557043,0.49183658436770206,0.5157230149873296,0.4037009158258572,0.4400038269389349,0.6339954469646604,0.509508736177038,0.5866915766577326,1.0455616627676005,0.9599212381343117,0.9964510567369143,0.5588346035786835,0.48588531052960016,0.4922704130006943,0.4981116488321731,0.5298065651136764,0.6175951402147968,0.6193954789871282,0.8905260199245875,0.6074326735059908,0.7280509711875607,0.705331641389225,0.5855595501429083,0.56856686100824,0.5604568936604934,0.5443607736081665,0.5247697090494559,0.5053712649296195,0.8467807557786925,1.5688973495840757,1.0694750205159465,1.1710286846689133,1.1975529992004044,0.7970666308635943,0.7181056698510803,0.557058676944407,0.5699713371075139,0.6280481304926395,0.5015321619074364,0.5379694780963916,0.6137621796975904,0.5817246994440364,0.6565762100906387,0.5675064364912691,0.546494584774291,0.5958523070012801,0.5847046213630606,0.5604605775257081,0.5686667298448719,0.6619631239855179,0.5679282452548041,0.6485298676662627,0.6830693404339331,0.6545590330685046,0.8180517272994697,0.8349130281406021,0.8902003646088069,1.0375729715142643,0.8764518510996278,0.7184162137923154,0.7711119871910346,0.761606333867677,2.0830628370421875,1.2429682615356252,1.5682044863264795,0.775579280852764,0.7924547174015841,0.910854617474119,0.9332145998469943,0.7797504416512135,0.7039975008500571,0.9830365116317076,0.802678014391885,0.972741496238596,0.7789874411049094,0.9481189103547281,0.7755988060446055,0.7575823325448683,0.8422850237300693,0.6026666042167907,0.656295414280076,0.7647292500113431,0.8872492920242592,0.9726401583178037,1.2211427788172902,1.0677940066323899,0.9294394201384127,1.0018407704031298,1.203647189612148,1.0284213040759898,0.8327763926506013,1.0214460451450458,1.069472140260657,0.7798429789328754,0.9045699921995066,1.1195819672176839,0.9506902984339646,0.8178147161096125,0.8987109302976762,0.7909518770977164,0.8315270297812398,0.8040772398270167,0.7883062703258453,0.7610160023718247,0.656189184111559,0.707342762527267,0.6655745617517818,0.6662809297164332,0.5813271775014511,0.6700014691474606,0.7537934643032724,0.7017172678070083,0.647249678518359,0.7208845884889783,0.9622192347503966,0.8803750442301569,0.8916181565887206,1.0258475010195482,1.127209974092635,1.279751523164331,0.9881938093105511,0.7580143646770303,0.7243272010475484,1.010127588485307,0.9633157766362954,0.9872378171667028,0.9132021138841513,0.7184550553834657,0.5761895112240812,0.5305143846674847,0.49545051109865024,0.5610246680993711,0.6225799176022495,0.8245758615956145,1.5107098816482682,0.6128062418025996,0.6346694938889429,0.8543081684608629,0.9538944509785799,0.5088350847675297,0.7959299082732788,1.0272005496540126,2.0858049224701456,2.8806616313883904,3.961126342493055],[0.654063066868022,0.5219549448497323,0.5769029122379215,0.3779224737696621,0.43816162430669364,0.45859528945360334,0.34563963798636865,0.5202538725790251,0.3995916727577761,0.3764061496382372,0.4484706369674778,0.5692690321040218,0.46032346363363463,0.39862804995655954,0.5499236055556669,0.5212005635742258,0.47308572199955096,0.4950631865976832,0.5411697013846479,0.5169058276706694,0.5459368281585786,0.5576983398067927,0.6988480304679847,0.7124784455439349,0.7781793619855798,0.597934998071701,0.42491480845912905,0.4259283127378059,0.4787531675230965,0.5107446092659442,0.5941336386909506,0.665884107628548,0.7597625089777313,0.7067884326186733,0.6454261048401254,0.5450493095623525,0.6036580711160956,0.5020980489916809,0.43887022782281243,0.47074945568263843,0.39792522787688583,0.4932749344928603,0.5414754187243538,0.6574070749240127,0.8886284512337561,1.2502309571501438,1.4208979756068718,0.7461440957162297,0.8476285512706538,0.9834295274728497,0.9222546473720437,2.2510428360746197,1.8714612527746002,0.8972648466271497,1.1323602059691333,1.2488908053266465,1.0595386518310468,0.9577965698854897,1.3330322889794555,0.8127756794953852,0.7357090234448118,0.8126503675337282,0.686605208536013,0.8425521602789855,0.5992483812221349,0.6248763601310285,0.8132803950537617,0.6241151816545581,0.8232498829930264,0.6989075144895515,0.8612189957534108,1.2350180352893514,0.8844841443139444,0.8765777962081384,0.7037947255959388,1.434581878996438,0.6480726332784692,0.6879532517492508,0.6015780188872747,0.6079699886775655,0.5969443536220402,1.682080707570862,2.0149663223872714,0.8366178315493328,0.6442421965217728,0.6948392375341875,0.5555561408853118,0.6453181668646305,0.5404347069304034,0.6644167952469038,0.6515501487855987,0.8293348512020555,0.7095260442141319,0.692085784297144,0.647172204389437,0.7093810854836865,0.6849741857353897,0.696765311882284,0.7160557688280056,0.992293296110487,0.7529026470646669,0.8169999505840647,0.693085083690266,0.7745871981135337,0.7643741662457798,0.7160446013952912,0.9745479455116947,0.6274243757785911,0.6306304068963211,0.8642689858869086,0.5677859217904738,0.44323532531719945,0.3989519167887676,0.4279696065492022,0.39069171879651116,0.37825710184053146,0.42660232761817185,0.45435760271632214,0.5463782287769929,0.47990589444714243,0.4713137174325342,0.426514274409801,0.4312597796314128,0.3344358189934336,0.34570886440844856,0.36811409710600973,0.44296144380762004,0.43793579544897826,0.45029066097635906,0.5419408796395202,0.5131046331912039,0.6070609789735215,0.5050654830934185,0.6336847571073749,0.496607409254059,0.5432498401092218,0.7574288534295688,0.4622414165009901,0.5003924668340654,0.4365160995324963,0.7796985531181084,0.6567366572449437,0.48964498998139616,0.4177283402353898,0.38370186459462513,0.4050346156436323,0.3563540265203393,0.44290237728423903,0.4482891322669995,0.4739431172147765,0.5817683930410238,0.6258709543728557,1.1171576368231557,1.6168432664759,1.1267184116970101,0.8343207203205196,0.6464016479616274,0.7010224721167518,0.5963719199025255,0.6565428799328867,0.4529829330780621,0.46969269529421254,0.355536163491198,0.39198234637606705,0.5592317273205761,0.5203058457480694,0.5833656857841931,1.0859077230903158,0.989672781823183,1.0133278751287842,0.5552131982918509,0.47406227729252187,0.44335558030032,0.4798878996015812,0.502830971217197,0.6045829842545211,0.6042652232151704,0.8903535275790718,0.5913359214381668,0.7160797243270719,0.7011935375203693,0.5654795215901185,0.5419145739137686,0.5303047489602064,0.5119721841945697,0.4957928273319724,0.4811173960908399,0.8309833026954572,1.5836673421127516,1.0607232105632967,1.151631834216886,1.1987704070482337,0.7943390686805153,0.7190447599330415,0.5560886982153229,0.5836199337535426,0.6478486774961025,0.5269898685114623,0.5697321847861019,0.6287803201028103,0.6256259198571709,0.7042526955723831,0.592953401820398,0.5981630462438424,0.6804326919356192,0.6547055695511789,0.6139699776092504,0.6621308652245315,0.7732999755558165,0.6517549606375461,0.72761510667923,0.7971178901221594,0.7660030075006861,0.8449594464326794,0.8964146466456271,0.9152417819992924,1.1217408842750693,0.9293239238590656,0.799038380456779,0.8869177621243837,0.9033168952459175,2.122552966590122,1.4026335043396385,1.6043033275416998,0.8664929509444376,0.8867914993175047,1.005774891758942,1.0166035406183191,0.889981272690496,0.7864232967834606,1.0563514884790417,0.8601155964222121,1.0141174908167614,0.8329459386026219,0.9820090572401393,0.8229324260108982,0.8019837614128186,0.8478790940668721,0.649884388851343,0.6648848090432947,0.8223199154691692,0.9464297407450795,1.025894293275908,1.2840446365953821,1.132177260184767,0.9901444425495112,1.1033267189439644,1.294151638863193,1.0949041811082338,0.9282638874587432,1.1280256146887293,1.1653191889874508,0.8904741561752717,1.0403929340436548,1.2439663804206087,1.07992024899247,0.9649333653797241,1.0619248138398154,0.9395369790999161,0.9803011127694702,0.9230988634872619,0.9103359114026799,0.9183198232903771,0.7675011576707268,0.7931981387161985,0.7861049054269684,0.7725961076001798,0.6669765514958543,0.7699840052377126,0.8306061320248056,0.7552811996439619,0.7074236459464844,0.8075555321489595,1.0085953655279054,0.9208029002168008,0.9168915042402456,1.0627248194306775,1.1560979258857107,1.3338861039489058,1.0058130882949015,0.7926057543157298,0.757856361651464,1.0270103212420338,0.9856613886766289,1.015499383025393,0.9309545065384026,0.7645633708281778,0.5805786302326679,0.5511559770378986,0.491823569412627,0.5620264524020527,0.6583975822945569,0.8905251367149012,1.5007940073758501,0.6465417207931512,0.7058567039039355,0.9172036799219356,0.9819331777210533,0.5687446729130621,0.8472310946477564,1.0270468749710868,1.9981101306526992,2.7879983284950516,3.9078174815803077],[0.9224295909094452,0.8009987816630015,0.7996616096491584,0.5183204891392232,0.6281514278174419,0.6745036430991693,0.533915198648835,0.7093049641237775,0.5273047550016468,0.4623543985470976,0.5106253428491324,0.6257911226135252,0.525061069686944,0.476541685345352,0.5981988474556924,0.5723833130515663,0.5385260903290778,0.5597648891995595,0.6388194643212309,0.5944791630321858,0.5904446218460329,0.617173735293458,0.7775442149352672,0.7886828385588093,0.9432082632778487,0.7316830164220309,0.5140896258991806,0.5067904184076406,0.5359771512468371,0.5697646086613166,0.6459240955552502,0.7205451901627253,0.8055729218695463,0.7479082101431476,0.6845138385421323,0.5897037400153398,0.6502110932744245,0.565089883879697,0.5178303964814026,0.555172907653646,0.4843481574160159,0.566993799960413,0.6006763262018069,0.7148562370211434,0.9240742359357073,1.25541952332064,1.445568785338699,0.7981926775259709,0.9176067873880093,1.0450077233528245,1.016707775849514,2.3249910011814996,1.9318685009126368,0.9588162433048929,1.0671160850924701,1.2204550130358391,1.0043186728905573,0.9250313228110235,1.301693079096938,0.799926022588637,0.8211222716131276,0.8504543408136461,0.7132760160194515,0.8408987324115015,0.6651930257421215,0.6786852526031562,0.8545623469343402,0.6867239396319725,0.9116661581096576,0.7841379804100316,0.9542502273433163,1.259965701289692,0.9636050221202754,0.9533839058915534,0.7556392664153784,1.4462798981030622,0.6807649991471688,0.7158669216479108,0.6327614855625983,0.6398820227415114,0.6670904588224043,1.869912750249358,2.218110010119523,0.8384967559110067,0.6496709603390761,0.6860003639580731,0.5824833411248164,0.6887741299613472,0.58592709641989,0.7013969824775991,0.6992825276980851,0.8645300996452884,0.7651262107385681,0.7382016621319453,0.694697061678143,0.7492903918627757,0.72482261387422,0.7438575717301538,0.7692448304551188,1.0547209340508614,0.8489509241021965,0.9545292052411309,0.8110832463588801,0.9301202668774067,0.9150458895497446,0.9449996092716355,1.1897257497438147,0.9241446312543466,0.9333867652911693,1.1278271062557197,0.8617440429352186,0.6530429575897158,0.5755936380006776,0.5252452710707743,0.4728290381747946,0.47066729589074646,0.5140815729312008,0.5417482358819766,0.6647160177403382,0.5773124744267145,0.5775285303302833,0.5207821945574511,0.5291535138574056,0.43782323243703614,0.46260148882407365,0.5022993302950256,0.6491428364182555,0.5971165747476048,0.6886807827697612,0.7783189541676415,0.7602369706683769,0.8344959680784017,0.7401164437651558,0.813339104976716,0.6869819887430709,0.7185260739752257,0.9072118030254941,0.5644822159629298,0.5445201461658307,0.48738832573115765,0.8352750357431736,0.6968084093444167,0.5508559807450616,0.470801571599205,0.46526760396585976,0.4970932206717396,0.46042296711879727,0.5528907941537846,0.5936303908210554,0.6278870755167429,0.7542880911885065,0.7986004847098149,1.2436090921298735,1.6170313851778666,1.1629947346158809,0.9636610215891138,0.776306774848964,0.8485770435197313,0.7029090820710894,0.7928842127501707,0.5746304260484864,0.5602668361824714,0.4555830105941105,0.47392385269278636,0.5492184946646065,0.5656986173888437,0.6934660806621272,1.171613493684843,1.0971271441895287,1.073820092931933,0.6780086951487948,0.5798750357810534,0.5375808602523615,0.642310276935174,0.6354327494572353,0.7433655274790919,0.7001582025599895,0.9638654471528376,0.6833394854732898,0.7946215639941975,0.9377993114068928,0.7470769972632633,0.7326654093896218,0.7309554271925383,0.676548284707886,0.6342305295185502,0.5521413424336656,0.8535079125156961,1.6147832672160352,1.146173301301938,1.163414066245072,1.303194371466267,0.9919873349718823,0.931204387895024,0.80030447353285,0.8444654238119076,0.9089192230798664,0.8383655334318646,0.8876600058386956,0.9326050487263872,1.0335178286345903,1.109212464744241,0.9419868503476547,0.9784871907782814,1.1705052194177206,1.1194704798087367,0.9396105345734777,1.1057961448658897,1.3367269402694202,1.1000255260318972,1.1242229734069655,1.3062889726197542,1.2902933500348743,1.1643130019566368,1.2520884810336315,1.1909643706357615,1.5306451816337268,1.2125771105582033,1.1957929981545397,1.3896413252846036,1.4348002698703641,2.502091544088388,1.8446338957866113,1.8543234713291779,1.3776268689832456,1.4608706009757209,1.524250045315719,1.4887269245293455,1.4312797441304932,1.2378287094068094,1.4730094180070277,1.2596290335354972,1.2843682548182218,1.1797825679124014,1.2642916849424988,1.129378606647143,1.0949363752477983,1.0293750125875165,0.9837192220315482,1.00113208742034,1.235302173116483,1.3692950664097634,1.4588699405660888,1.7120655754780827,1.5510885539701804,1.4504086914336138,1.659757761186529,1.8324588147851326,1.5589801269709704,1.4857911179485483,1.7525590278221579,1.7935066653161584,1.5062859992918853,1.7031803982026448,1.9263821371260668,1.756120983617479,1.6164018968956495,1.7659914367987186,1.5910685723895952,1.6332209550088221,1.5183513758409188,1.5209118715442898,1.538537477903238,1.3088497888296182,1.30614977823529,1.3143468272761936,1.2478865570647835,1.1130592585723535,1.21660550660322,1.2195794237863373,1.0784492709562308,1.0431279463942644,1.173263448751816,1.2288659759126495,1.1445502007835593,1.0952707091967488,1.2258311392233343,1.2634116793084373,1.5115293671541175,1.1330921436141836,1.0128936459568005,0.9607110961877928,1.1201061457448462,1.0946578312888375,1.1329611065809173,1.0618989544475237,1.0051380524188138,0.791128216155643,0.8410332040681298,0.7119999349090669,0.7910662073864024,1.05784789271853,1.4329340957323708,1.8478352951652326,1.0312005685904524,1.193692020622092,1.4906186255770608,1.3561485141210732,0.9693490433286247,1.26871367354616,1.342098203613952,2.3153513215836807,2.9391331323674152,3.850465026593171],[1.3046341033039737,1.2336097973012545,1.2779209184438745,0.961916369162503,1.1464157561084527,1.2722559614708986,1.148071658083528,1.4181289229844682,1.1509440851910744,0.9622498354194479,0.9661821930966594,1.2065337673199064,1.069966738440226,0.8238849909237548,0.9660249753779215,1.070580567359204,0.9230630663818584,0.9070772902221222,0.7851754995974125,0.895292071126839,0.8848437198034227,0.961506561560023,0.9238483106251103,0.8856229452681619,0.8683511057681665,0.7694483683978698,0.8259484064155849,0.8783242732303232,0.9873181964629847,1.1400383191457657,1.0806222886135406,1.3361614848092391,1.4177689153395756,1.3353292281001712,1.2820046339901905,1.1161838211184127,1.2759179816132802,1.096254851256083,1.076344782972588,1.2040720786978305,0.9711712144602787,0.930743178017517,0.8741255194004303,1.202626500043287,1.1514049317802555,1.4805527382095858,1.6104836478435454,1.235233124213499,1.4309911389698837,1.4854184793141632,1.5902983444377898,2.9926755519333623,2.4926228210850496,1.619636186752366,1.301159987883252,1.7613920774683332,1.5052319949177961,1.4802017392638058,1.8103544638291005,1.228164378153041,1.0841278764531965,1.0839878760816402,1.1501946386054462,1.2068511795050887,0.9551784380111853,0.9807794628428798,1.001879408094869,0.9575646703289501,0.9606380051671862,0.9133744166845711,0.979594068203927,1.2744434710956123,1.006471058706771,0.9827699707072544,0.9903345349932461,1.5746088825651052,1.077109609098033,1.19240803237398,1.176857094583441,1.2053248449175802,1.3649373925199442,2.469997459239238,2.839831425391491,1.4826775349913408,1.2233562312802084,1.2481591825392047,1.117113284275428,1.3356217171092515,1.1127287700702373,1.3073521258203777,1.158433054124458,1.2197153006636299,1.1750444127743491,1.2345570743516727,1.1694163049343889,1.144275823711655,1.109367905772853,1.3308948763382098,1.4113401596831336,1.7266953539883134,1.5935324398385173,1.7483450110029257,1.5946999607683672,1.7112304985873323,1.6736217326876648,1.7184517385187457,1.9271177501894197,1.6913093213214283,1.6547516543282343,1.867414631848667,1.5974026568230857,1.359610645257039,1.25288908784053,1.104189748740622,0.9459654720183647,0.8568832446154969,0.810010239398386,0.6565411605340744,0.7566537167625679,0.8353291946828896,0.6940808033293304,0.7199868017450703,0.698328553985675,0.7750861236495459,0.9017332477689258,1.0235074201239738,1.286345109824692,1.220110542947571,1.375247843910201,1.5031130785217788,1.4261409702896406,1.5194191755190138,1.4150646721022835,1.513538535794387,1.3552525192201763,1.3537440467474104,1.3819747239219669,1.0147943101386276,0.7876843450361555,0.8165470554657175,0.7640745782265682,0.727598426480677,0.7717823235858454,0.8289553016978722,0.9244010250084175,1.0338862933051238,0.9848946946282611,1.1487508807894837,1.2904581179433663,1.3208548750492657,1.5203237581385018,1.5774849336828696,1.9702702990790075,2.116706658712409,1.7922403393945743,1.7478236770658302,1.5264315814321185,1.615591607792113,1.432403538303185,1.512359495887266,1.2573561823536608,1.1890078191092444,1.0186930105387253,1.0971987952999294,0.9372358867800168,1.0519023594566608,1.1620512025381151,1.409986091999825,1.4331804580159178,1.3559781194124116,1.1898372297312776,1.1231809927259142,1.1366193773454099,1.3421286886826667,1.3669330228655603,1.5200701942832346,1.4307462445748966,1.6943278956308703,1.4406234199532304,1.5189218156019924,1.6581918159277018,1.500418011644507,1.4796587298050639,1.4411661178056538,1.3555826956347046,1.2978438552504656,1.1574608904148345,1.2323257706853075,1.9457543833681021,1.2998401305966578,1.4537434204242103,1.8159552600888913,1.4809142919921987,1.4650798319106086,1.422347943952364,1.4528181961630675,1.489515071325357,1.5116466798117456,1.5165036635209017,1.6179529765888396,1.728876033792269,1.8517804223652898,1.6495678010928696,1.6089286358583175,1.8569212145949627,1.8033319215393095,1.4728941051387354,1.6617276639305754,1.9959128918978866,1.6585092937749613,1.5826486800039903,1.801809957413384,1.8392492399460953,1.561499104431415,1.5669911066379527,1.4879966906420998,1.865318729232425,1.5162830473707538,1.624336354751428,1.844762757903239,1.9083468582082916,2.805556025001784,2.2615194569321617,2.318678020986037,2.03180611543964,2.177264901494533,2.260404757914575,2.217600797358798,2.0897435631234105,1.9058063974193742,2.164471352445602,1.888705165388854,1.7910820491084167,1.8075845644793327,1.8962451449672857,1.6336747497365889,1.6151326065719342,1.519040589318539,1.606563226327101,1.7110603518821295,1.9699630636323033,2.1107552967536622,2.2503932228478503,2.489300132567554,2.378168947552935,2.2284483705988403,2.451402432834353,2.643602756468982,2.3583619048097972,2.2566560218914473,2.5511121527997926,2.592231737349133,2.2505802888914395,2.4404132937027843,2.665008360175189,2.4625332421734782,2.2539744799377206,2.407629145830098,2.217736920414486,2.320097669435725,2.2530445983622687,2.2345639646741127,2.1682276459169327,1.9341540843132898,1.9720031886585436,1.9098522366484907,1.7968799515575622,1.7003713274120682,1.8011008993342763,1.6821049026222996,1.528580055956931,1.5452860712050116,1.6584833834091013,1.5617821137203214,1.487837757807332,1.3955988747380503,1.4467319481316598,1.3990938545306206,1.7201285082019415,1.3233587375902782,1.3643485567424745,1.3280721218029947,1.3417728153496082,1.3446056778359137,1.3516537911207525,1.3546747308688118,1.4533824457954296,1.2886889130857944,1.4701554463782895,1.3177032820951484,1.387230963463373,1.7970981811722047,2.1828851672338634,2.5211923265262217,1.7418180078013514,1.8817801067576887,2.229808229500935,2.0185268274033366,1.6083251415148996,1.913505141126745,2.0001161507850034,2.7164971798308692,3.2516306704354574,4.079221822554946],[1.8050583700885898,1.7286543670119126,1.78156595052075,1.4148970970726418,1.6245753180065028,1.7772325563300122,1.6437771337843028,1.9454023205913171,1.623453762046026,1.4041073619723963,1.3881197820895703,1.6593598689072853,1.525657844868674,1.2285657635432237,1.357964855045056,1.4905942475804068,1.3455776165061184,1.307111336400351,1.1438586551263208,1.294617426365582,1.249600980122734,1.3386836428222804,1.2302012628504868,1.1818623517150697,1.1765903130112567,1.1184392027319274,1.2343450866874792,1.2923910382181374,1.4170595434115572,1.595926246501085,1.4832030884385108,1.7837082445794026,1.8515534761172776,1.7575179078226024,1.7248805837614742,1.5512076822135745,1.7437029113693991,1.5475832200381443,1.5325246730179274,1.6833213046035085,1.418209865200317,1.341215413734272,1.2928947844951886,1.6175186814981883,1.4767432221324803,1.7429299967181153,1.8873266058628828,1.6458484186219269,1.837681790747706,1.8676715122216465,2.023910550019575,3.340514004661621,2.8120280708111047,2.0058050938117553,1.6607729094911068,2.1062102832492413,1.8002474693910615,1.830288078917542,2.1498775840033324,1.6014149557451187,1.4873549502538228,1.4411047830880224,1.538213546015221,1.5706662386095578,1.3379420388037624,1.364850306553737,1.3550417523948366,1.3354281196476836,1.2777197456580933,1.2480641146914684,1.282322241540705,1.4678325918817228,1.2536235117525243,1.220644016638729,1.3213846718003968,1.7740182291407642,1.453462569976014,1.577529867619699,1.5975274796365246,1.6477704860029343,1.829084460845163,2.878867562212457,3.230821468763341,1.9678208476127643,1.6989650296289667,1.7152293223212822,1.5737574119753936,1.8070433181787748,1.5383823404276245,1.7385523492615027,1.5515494525266975,1.5640589580840811,1.527532901600672,1.612518435286405,1.5543387393209154,1.493451498069457,1.4705115910136064,1.7575241010651814,1.870476439462276,2.21199403621863,2.0931198860467095,2.2960691110781823,2.130924768211108,2.2776426508211616,2.2320255624896013,2.2754053850336415,2.4909888833973843,2.2632986180663206,2.216749318921307,2.425363323479251,2.1617826719925715,1.882432508329647,1.7605205724988655,1.5731800443228985,1.38540282719423,1.2695777986308876,1.2076356313775767,1.0298488596190463,1.105372304685751,1.221763491599212,1.0575740146295893,1.1068981480499165,1.0685153168122128,1.184229756102852,1.3259475358701933,1.46651412357154,1.8223865161194794,1.7084848190818998,1.8986547052872016,2.0370955366299897,1.9341868214404683,2.044543476892765,1.9180128498752012,2.0493993603959684,1.8431817276833937,1.8286895273844652,1.7696275390650353,1.4162074817800354,1.1509348493000917,1.2310277474512465,1.0324508456556734,1.0662445503323486,1.1608825748176714,1.24759059569816,1.3632853141787495,1.4832449766196942,1.4408419728880455,1.6130506961521098,1.7956496593208573,1.8262683925428917,2.0758013864162628,2.123750877945612,2.4997169173004306,2.5604163640027275,2.275391518045602,2.281049447392645,2.0427232023065285,2.157579860229965,1.9448550774023194,2.0473262270249855,1.7566335417944443,1.6685245151295953,1.4849483659519191,1.5866732342377388,1.372990020952263,1.4944348495399333,1.5724726437809442,1.6956593109246956,1.750170437963564,1.6331218718769693,1.6028685929914739,1.5658021106661157,1.6077096611606743,1.8283205610033146,1.8741349254527915,2.0510785096102877,1.9377607059448834,2.1997434583005053,1.9538709740999445,2.038615486940648,2.160289128625989,2.030857094552848,2.004690131213438,1.9586612825040515,1.8545713879489405,1.7757551039130006,1.6194560120022659,1.6687153346816335,2.2429924270847796,1.6352985635488375,1.8536167445334428,2.1866842254663093,1.8966813385483283,1.904868462282038,1.9108953612806268,1.9537697551968243,1.9648970320433083,2.0431208529613416,2.0375580740129626,2.1719325424110467,2.3165260463198027,2.465143806970351,2.2302148855934347,2.1599228783838083,2.459288618218079,2.4088299551360204,1.9737594742544298,2.2091721658607253,2.6396287358043065,2.230636216359061,2.0912306031776375,2.370810900752792,2.462477369946045,2.022261690990298,2.0028289542774775,1.8686702716603316,2.340878082683575,1.8569748782813227,2.084300884497687,2.366693233382862,2.432996166392676,3.221326044440853,2.769656165950408,2.85225723684394,2.6382039927674903,2.8039438738293176,2.884725555587729,2.8156611358626447,2.6925456780755286,2.4912410820491315,2.7318661466364484,2.446238343886816,2.3024031428694824,2.340441181065864,2.3990824429850104,2.113872112799757,2.0491953723160803,1.9740124967944732,2.119079722985789,2.291334346681609,2.557451730919985,2.71968181023364,2.884891895404225,3.1283068097263422,3.0418690160437696,2.8691969727069053,3.1262706545245007,3.3132949574147266,3.025370353846592,2.928064044258495,3.265809503670767,3.31426178909308,2.946063585089381,3.155110804419991,3.41092038075078,3.2080988476986736,2.94491363557961,3.1132705971951298,2.8789902185036627,2.9928067364790647,2.923292649210174,2.89148494086104,2.79113683585233,2.5377292021111746,2.5804092979093562,2.4732442301921496,2.3279476853887164,2.233789968871766,2.322133679375722,2.144040510684341,1.9670278560853434,2.0045049094889245,2.108484917718105,1.8993318158326535,1.8206773614145602,1.7123440168018447,1.70093129995323,1.6063717283291834,1.9492967011410827,1.5646040916761992,1.7367259408707034,1.725562989616041,1.6038674307549563,1.6436997064636778,1.6212655716515456,1.696992533860782,1.8954245215239358,1.7631231502582854,1.9898151198079264,1.8146957572963112,1.9245011094820823,2.386554222182142,2.801462441792569,3.0645975012086053,2.332161963581709,2.4879517165173444,2.874663510995352,2.590868212218005,2.189395858520229,2.5522475193271394,2.6065942158717257,3.1511696119067656,3.594157703990063,4.322242005651171],[2.13703846872061,2.0460683917420894,2.067214899054261,1.5526237237989329,1.768807973059264,1.8574465913371128,1.658093249155499,1.9598140300461477,1.534916697662496,1.2550481081002045,1.192052169935676,1.5069396078904909,1.3766059640524486,1.0214265496700365,1.1502173532204112,1.307535356649203,1.1488427492834545,1.0732008350382016,0.9345675039348583,1.0796018481319096,1.0239137848158295,1.1294709238880538,1.062550882616786,0.9959657560423082,1.077658143522195,0.9636897218484403,1.0555677870441547,1.1055177116665542,1.2197007396948596,1.4427866821959452,1.2580627519447285,1.6281135270361304,1.6935759847284249,1.5746626249070639,1.5592464183108306,1.362127689810781,1.6160770749209927,1.3949205192387955,1.3996245244684193,1.594863644127039,1.2971267438703822,1.1686326979562547,1.1352244261836029,1.4466737611694833,1.3307455810135798,1.597971587605363,1.7427940939595203,1.4828450286548656,1.7062837339813608,1.7717924398623595,1.8986768733454082,3.251873312656897,2.6902934427878704,1.8987178685813102,1.5787660434583526,1.9939749381133798,1.6588900935810682,1.6881535980974305,2.004850947389806,1.421162541396926,1.3409750141888925,1.3028889470930296,1.3443998379884297,1.3110420335124209,1.115781157944033,1.1786638317069518,1.1598740398932668,1.0857578801591588,1.0687326731629674,1.0042075658499305,1.067420303159673,1.349048652979107,1.0660598103188328,1.0624943354963226,1.0563820640453798,1.6096239023298378,1.221746318236465,1.3757682909613462,1.419127140807006,1.4792523464303728,1.6994454223096458,2.7765515014222153,3.1694405631097244,1.9706816788134982,1.6685419386613736,1.6476285150378351,1.4380527488483683,1.6883263985342145,1.356945714964636,1.5552005013466366,1.334437617934416,1.3146798911862523,1.287212890258217,1.385776205037704,1.3329488274154253,1.2523256834536558,1.240237550040671,1.5808994098955496,1.7329390074849824,2.1634136814021545,2.0245194227434697,2.325117556891655,2.1208643342738873,2.3796090537441206,2.3711219075745995,2.431496306960297,2.707831434398425,2.508986368401943,2.471387257577177,2.6130011807492313,2.3292237541217946,1.966924450109703,1.7797904852441229,1.5380089217530588,1.2664278289328532,1.1326769756957433,1.0358337400155424,0.863608947432456,0.9185006322836429,0.9929035315899443,0.8553726402992718,0.9006098017580408,0.8798948036407527,1.0373064750464027,1.23837600630226,1.4495090341584442,1.9028873368666828,1.810460708049261,2.0625465614697625,2.1990574475113993,2.144950425837383,2.29072469901049,2.110985225680368,2.2175603142543494,1.9745605672626014,1.9156273956443892,1.91537565306775,1.4352847791896484,1.1005266915612655,1.1783540838655646,0.9572507357942417,0.9688115149874634,1.0138640562036214,1.1169603298861905,1.2494839660439145,1.362926532766723,1.3295883717973387,1.5267768589174124,1.7812911924978092,1.8027949794856835,2.138781707281607,2.1356394197216626,2.6054208300342254,2.6222087640437524,2.2726018631654696,2.287341838822028,1.9957068614435258,2.1950821916932335,1.9082937468639956,2.090408951857398,1.7621556554971585,1.6047216864279088,1.4211398131983737,1.5309956222827035,1.3822394146518335,1.4854510171414244,1.6323185591177456,1.7784989039503847,1.8604093330664777,1.720710993132925,1.6941273280830147,1.5902813413903114,1.6405486456734961,1.858446931735167,1.8814395897959968,2.098408520834211,1.9106106507713112,2.2306162424370983,1.9622331475352641,2.1049925503543334,2.207173524597053,2.1321823101096617,2.1355805778322416,2.0928971904154996,1.9498031689471327,1.8075028677941998,1.587621344462314,1.6300348296271487,2.127603111154777,1.678222964925254,1.8698207757906824,2.214921105357442,2.0046324507468185,2.0526230940352757,2.1113800202408637,2.2117334722256876,2.212155417125953,2.368883905940601,2.3921301129593138,2.5037225741641445,2.7597125889873495,2.8831694035783535,2.575416869323781,2.586204972232919,2.961080161561615,2.8364159236597515,2.3622170439227426,2.721159330529491,3.190567646090057,2.67520391500517,2.5997570180084963,2.976718720300275,2.982998764463833,2.4816342242882468,2.5887263734653767,2.4120830126504735,2.9975681443325284,2.426061945064038,2.6995840025319953,3.072869074097113,3.18073355049777,3.9597670135557115,3.531086691543165,3.592014831976451,3.3601150431300693,3.4899269346787594,3.482818055691962,3.4266281942512933,3.3467852100040156,3.0531384341568013,3.250948892067539,3.022489714545106,2.8264724015480933,2.8087778763471145,2.8446619911015176,2.6004630453168835,2.512283377480592,2.348334165040189,2.542743612985784,2.690379336484246,3.0058831756472455,3.2163937333872856,3.3819246707474786,3.6883348099803244,3.518595101835124,3.3363256593014485,3.692789547818583,3.831076803038276,3.457569842429211,3.4331344527961822,3.819584700417814,3.812906857201214,3.45606391014723,3.7863945459389834,4.045563554591815,3.761378410285305,3.6100581070140776,3.860626370505569,3.5890008963391047,3.7030911839660834,3.5495905569930333,3.5737541308994216,3.5202018266492967,3.156259183184371,3.197152558845572,3.147125062815603,2.977604339108899,2.7931499595054414,2.9501475164825717,2.7733283894943006,2.5161245813344904,2.533825051049486,2.7018548537614278,2.4618884749901087,2.3110104196442625,2.1511563936843814,2.111550818755735,1.9306435090566387,2.3360490256450257,1.9281210386788534,2.177693417635989,2.09573399738005,1.8282139264654678,1.8871415861273355,1.8888170950093868,1.9663380660384102,2.2636448572206906,2.0702025771850403,2.283141475950405,2.013158048035363,2.1851377586925635,2.6702448857254106,3.157824996938366,3.3124780194823384,2.5495486385768373,2.8218171674541823,3.1869960015039798,2.726056017387206,2.4243442824700896,2.904052192235147,2.9421286225377465,3.3612578034596345,3.7833076132994634,4.426447239304759],[1.384054066208014,1.241677337458208,1.2012061146194561,0.7955760005020348,0.9106553471854909,0.961071063016997,0.7657716570515909,0.9611814700942359,0.6974998951925214,0.5821224724793069,0.6035232803067572,0.7531392993027274,0.6507858799037204,0.5950036815166115,0.7074050648210735,0.6724165319807949,0.6452428020537887,0.6805226985341183,0.7955934361180491,0.7062206153285526,0.7154538645864025,0.7135904519910574,0.9077374648143072,0.9102245047426771,1.1094930886969925,0.9058841467363389,0.6456434172630134,0.622536295098652,0.6126076925472058,0.6652972428933361,0.7286537950401556,0.8025572412644095,0.8788714914012314,0.8168571552120992,0.7773351806583834,0.6773703100489419,0.7497345143428962,0.6611070104276956,0.6245123682967393,0.6854818289937195,0.6123012250486931,0.6909371029490365,0.7139326882579028,0.7801351248221543,1.0022360580158227,1.255799477615799,1.4775087705482697,0.8694979618921969,0.9568172408296485,1.0850994137269672,1.0769324289692626,2.384955333598004,1.952182227892108,1.0250645941669059,1.0597697293909807,1.2338491098118192,1.0008729065416972,0.9429599934318781,1.3245409619108803,0.835065133180781,0.9339284935017497,0.9450321344196528,0.7872342066762626,0.9032035766303749,0.7866466871314303,0.7806120883832254,1.0036738944805446,0.808650171917601,1.0693937709284573,0.926303717598659,1.1150511512921772,1.3956442177566133,1.1127581168109195,1.1302608411409656,0.8571970143192577,1.4989934820043604,0.7668770466468384,0.7960863911919109,0.7195668782517315,0.715801600984918,0.770523667891697,1.965474446826433,2.3365806544945777,0.9886897046424863,0.7721102748879436,0.788372656438728,0.6782105466386761,0.7917677304846042,0.6723961649851993,0.7841508657580827,0.7780870146984291,0.9217419382166139,0.83677785681041,0.7956274861552688,0.7477050030977446,0.8181627820456772,0.7834424749859912,0.8057845949963447,0.8764659477421757,1.2123046621915885,1.014364237459277,1.2110402011727017,1.036140369024939,1.235379570206528,1.229550008544542,1.2924221241014988,1.5793358925310335,1.3671458264441996,1.3698884625372043,1.5164341313665317,1.2544821470056133,0.9458177549116727,0.8101861824003821,0.6797967401017905,0.5853251806279505,0.5830103834564128,0.6391666825094637,0.6656105421495335,0.8326251728876254,0.7271677631752218,0.752221662756671,0.6644702100989919,0.6374868262208799,0.5504727781335854,0.5775645377430147,0.661366966404569,0.9415362119213255,0.8717572774069987,1.0424520568752011,1.128938089261451,1.130784260903012,1.2207282748218735,1.0850868087433776,1.1501462333493493,0.985014224368197,0.9828035319419862,1.1230318158922474,0.6981714381581041,0.6115114985074706,0.5978026571896786,0.8886919939592386,0.8038683722508061,0.6714895737598143,0.5713427694264609,0.5907510112558445,0.6188733986663925,0.5914705981925499,0.6864604526228312,0.7979801991986075,0.8290840518406498,1.0461473308430027,1.0592698031718417,1.5135408738221352,1.7638118743593656,1.323075991724378,1.196058947363812,0.9772474018033764,1.1065242007485576,0.8929238244549891,1.0396073774722268,0.7854014215091905,0.7029153586482788,0.6142334598730159,0.6349833582796599,0.651708220720874,0.7241513258816571,0.8543782045105767,1.2908474982776068,1.2479668100277712,1.1775822103973672,0.8745468235758975,0.7607270220424439,0.7409980166683039,0.8691953404063301,0.8547668913586848,0.986905691430138,0.8746296657850949,1.1443342168492305,0.8853858376758509,1.0215979883008766,1.1775733055408837,1.0429934197121813,1.047420825687445,1.0320883139777668,0.9428023368339066,0.8486113087662952,0.7112731701048692,0.9490631934361682,1.573871431809179,1.2276120883594681,1.2302199002469676,1.4181814237033894,1.1771218338417078,1.167437747929518,1.1283668963240472,1.2324054453849216,1.2724641778810566,1.317625963496228,1.3790111461757077,1.4249277088472934,1.6503601989742827,1.7280459829376278,1.4831461249776292,1.5529840814902263,1.8546057449455617,1.7485546191546655,1.4402283203867632,1.7383215645626666,2.080384548069455,1.6992934655942389,1.7134884086209194,2.0246645420209246,1.9861515738366158,1.6773573876261607,1.8478073074363686,1.6936524018352552,2.202121388387171,1.7320655831177607,1.8382563100263323,2.151765527687858,2.2355714752015445,3.136796509979186,2.6004222399046073,2.5505586956605764,2.216056966608041,2.3087466305057207,2.2982332138896515,2.2483707987411314,2.225688389181392,1.940969790467276,2.1137053194058137,1.9245264281678671,1.847852393470195,1.7566328598728296,1.7938861391637366,1.6637174484369979,1.6123060462423693,1.4383539576565438,1.5301552172465682,1.5656459012209687,1.8520619733536836,2.0355523153599053,2.1356705356089782,2.4364342798491196,2.239055181336311,2.1123922363927696,2.4384840196184454,2.5535400880661094,2.2170039053675166,2.223667457624477,2.5581923907730575,2.5646922942848547,2.264689349387394,2.5658464753880783,2.806066059900226,2.585879039475991,2.476155351802798,2.6984477103286797,2.4677719431267757,2.52140193987904,2.345220410737828,2.3813065743123096,2.4094606625487747,2.077373759728338,2.0734413667515996,2.100571377005085,1.988156134434639,1.7790814755127164,1.93478504130773,1.8907276398653206,1.655967514036729,1.6165758238984531,1.807638841607604,1.7322473811751233,1.5880686799838248,1.4711515198880465,1.5552840920174456,1.4859034945218124,1.8343821094747885,1.3846746582360931,1.4302374856927587,1.3405530813148394,1.3118175443343798,1.3149920823862642,1.3473014885025199,1.3200814240245455,1.428405685931722,1.1706638094008706,1.2894957235623088,1.0678863268880059,1.2092145529790133,1.5487941567048495,1.9993195244327318,2.2652617554523915,1.4803621393501327,1.7380112075457221,2.0490958284117475,1.7379088926545496,1.4305476450141354,1.8336439933966555,1.8565407700953607,2.6059043951643264,3.1655668621065196,3.9983707269405966],[1.533123452696221,1.3835368237641539,1.316312979419919,0.9468328305127818,1.0504662653207322,1.1173749205455388,0.9337557245389485,1.0820758187611093,0.8424100112880186,0.7141708218989694,0.7107141465825674,0.8562992886467978,0.7657811545048463,0.6495489846931468,0.7460384247579561,0.7546928919373737,0.7244744049186234,0.7245943558138418,0.7494469999108838,0.734082432634199,0.7086382698508366,0.7182169474598522,0.8681810883151578,0.8541357962905333,1.0718113881387175,0.8534160237863372,0.6785091917331708,0.6828381649481948,0.708759789513567,0.7869582736806184,0.7792266207205408,0.8897881003349624,0.9604125652111298,0.8962886277487178,0.8524760095952137,0.7666519639577946,0.844653350690964,0.7724361074770767,0.7474464626217228,0.8139925043232219,0.7072021722686095,0.7345892272086109,0.7362184790935773,0.8852765662689608,1.0310864529945083,1.3147218517571242,1.530551542345267,0.9723930277169838,1.0905506174510007,1.1959778316339673,1.215292560736592,2.4882759310080282,2.0261940740385715,1.1059620575500764,1.0752714988199725,1.2401400576892385,1.0146466968725825,0.9581207311873964,1.2871851979263715,0.8348953299394911,0.9954429213593935,0.967782765604558,0.8374766814832502,0.9623666935222713,0.7857888382969366,0.7886312846647356,0.9783952401401973,0.8118382412205274,0.9903372855411907,0.8829530171877942,1.07065068299093,1.3165080420961763,1.0279303026853326,1.0309976334158595,0.8521992172630573,1.445345756231129,0.8016335131922986,0.8334480560783529,0.7803759126654823,0.8123039521825701,0.8599260172426908,2.0673177361142447,2.3975695454453456,1.0531205249551048,0.887088447492406,0.8808110846301881,0.7723732693931864,0.8709868413157865,0.7506899656840771,0.8754595265373228,0.835203345926121,0.9617112401498574,0.8599399182779859,0.8585335739055012,0.8246647302780966,0.8600843245485443,0.8490337271008737,0.8981578003660032,0.9590084378522007,1.2341124345754209,1.0897394451840876,1.236454235705277,1.1063617040352316,1.3033252185968633,1.2998697159868886,1.3527170209901171,1.588560449736302,1.3903620391055216,1.3937811990313635,1.5342275794793512,1.328758646752362,1.0534338926239002,0.9484061163292145,0.8073095890655465,0.7020087845068438,0.6666178065051502,0.6720371000877938,0.6101664788306931,0.7807955914040694,0.7476666132463249,0.7164279108532586,0.663314147817031,0.6235218611529257,0.6219247629973059,0.6992888395381535,0.8022481298870923,1.0993380092492118,0.9981595458074812,1.1436111194090617,1.2053865432127446,1.2129065707290114,1.2835099702609019,1.1686479678084178,1.2270145759544568,1.0797706187497298,1.0947376658005659,1.2001861925543253,0.7857831052792278,0.6365994214809255,0.6507207112703002,0.7816179159602135,0.7556110284011639,0.6700675492427179,0.626081981259388,0.6845192722867959,0.749342166862171,0.7213114532232746,0.8307788000124464,0.9303257878004106,0.9626521351723456,1.1347543103719322,1.1500312407936082,1.5368337780343824,1.7919923986258028,1.353026238335568,1.2535025746017752,1.0766479039928782,1.1873504557020718,1.0066415724996804,1.145558419933641,0.8933014939147296,0.8368463543557616,0.7340442235087343,0.7671461380792904,0.7202839582441868,0.8319022413195136,0.930257522785002,1.3314214267918814,1.3041285990724552,1.2143011825681649,0.9627089198901313,0.8738386439161073,0.8430387226821179,0.9780411616468181,0.9644658513380423,1.0809734171620557,0.9884965984319708,1.2448921625027094,0.9831316626066067,1.1194976666490095,1.269339317928512,1.1320234356699348,1.1369955050211962,1.138793433073504,1.0675919770672033,0.9690253484712594,0.7953383099832315,1.0181153043924989,1.5898738543635655,1.2627183740052603,1.3032714479932193,1.469902917764909,1.2570206867402192,1.2446191920792928,1.2055148226924686,1.3046087918179496,1.3391331953354766,1.3554359473649522,1.4087014868892522,1.45421607408895,1.6237186087929607,1.6872503764740228,1.4982290134817937,1.55417022127349,1.7980782972634506,1.7327698636236202,1.4830541766279308,1.7179211160502021,2.0065365188883044,1.717340403591959,1.7203021842040984,1.9854361776914056,1.9817840353480856,1.711564038280751,1.8383101519540739,1.6959037912284145,2.1191570917107847,1.6819120857104342,1.7832452490540294,2.026171398424096,2.1023781266153563,2.978994995070243,2.446877614444302,2.356965490768541,2.0393952582540122,2.1263702607282835,2.1447307655132417,2.072976125759884,2.0803984492082273,1.837292197143213,1.991419010407025,1.8137559123888294,1.7779486610618673,1.6957499121013544,1.71927587756153,1.6339350119786376,1.577272083515138,1.4754980881273467,1.522670041332829,1.5542418018162787,1.7850407976847726,1.9271988041699564,2.00133738166123,2.2630323806307464,2.089996625379919,2.005726640999331,2.2735059041016434,2.384072852575329,2.118210830880831,2.11483046099689,2.396599656863119,2.4286571471740075,2.1798383576404015,2.4015357398675437,2.621643497081145,2.478860861093362,2.3465130687864013,2.5095396991651207,2.3114193994942442,2.333895682798151,2.189836874175495,2.200909497246313,2.2276060367706823,1.9725165368987814,1.94869594262272,1.9610888832465958,1.8762368727749423,1.7114132678116647,1.817146757828331,1.794974733702784,1.6150554903773726,1.581793619419528,1.7299090383212476,1.678753294556236,1.5606606436733703,1.4763563904543984,1.5477803428063792,1.4985832307937,1.804787344427562,1.409588582836831,1.4509001000454333,1.3971637213876984,1.3584533213626884,1.367368899932977,1.3918473955933817,1.3806633384830753,1.4623919027233196,1.2610125893234816,1.339119772075267,1.1659193408802104,1.2884209182175317,1.5770833809118547,1.986647973426789,2.215438038305423,1.549329928960484,1.7762743164375672,2.0560350191876666,1.8083500932424492,1.5467127580794133,1.8829906972947512,1.851239606708963,2.60143305033411,3.1090452727658966,3.8809129161595215],[2.0932436209703873,1.935660110945041,1.8620665328799069,1.340977718374745,1.4581507479272473,1.5029432599642412,1.2467424897751902,1.4351378902477918,1.0541590628034483,0.8560605580850005,0.8147348142938023,1.0016685505921428,0.9132956164764778,0.7472777443702097,0.8284492857712965,0.8519686311997013,0.829208870166728,0.833362869682443,0.8905582340938902,0.8628520413340897,0.8628710008361725,0.8542667298227913,1.050652487708023,1.0216087034085264,1.2434171006853918,1.0267112393770252,0.8284924941623781,0.8124179251899944,0.8366265882196638,0.9414238291257803,0.8598732942747014,1.0285182307422276,1.0835349640116234,0.9970784298653441,0.975495542621533,0.8862651371534326,1.0218149691526683,0.9203624515196628,0.9167950500571072,1.0295913950320814,0.877643977926191,0.8513823409937508,0.8540814601851108,1.0140580869210662,1.144365633372089,1.4038732131002634,1.6205926969809834,1.1244923730427236,1.2583100809870407,1.3592121194474975,1.4077928930463512,2.6765431667750335,2.166810822358753,1.2769549267554416,1.0981985886135937,1.3119405033469713,1.0793111430935416,1.0392821489201067,1.337348962576279,0.8786380283634311,1.1103178378553042,1.0436688543811756,0.933706528653887,1.0715392344866648,0.8917815936101648,0.8918574237395505,1.1178935606419838,0.9213670202034094,1.1383558070308184,1.0091720960247716,1.2275527025650805,1.4853028390968257,1.1655533451158977,1.1892581157264817,0.9389556824325042,1.5122652759237274,0.8869038305824667,0.9123978440641667,0.8820181154173814,0.9360344777241805,1.0393018267373682,2.2473798076362175,2.621575671997993,1.3181256939850907,1.105503936730645,1.065791751407898,0.9156833649776368,1.05070628946555,0.8691036217424988,0.9923597270375727,0.9143215282516665,1.0160587035410589,0.9189130976176604,0.9185096684181899,0.888659075875228,0.910048920719323,0.8936472075620064,1.0112685249490367,1.119701816291055,1.4960446056387315,1.3430931917758147,1.6254659179179125,1.437072867128739,1.7339356896328135,1.7545202875416939,1.8406186839720073,2.140719586720852,1.9760027629359698,1.9784870335359828,2.08857337308159,1.840783582641472,1.4494879576250457,1.274974273293178,1.0676419409670561,0.8682613699212988,0.822504864792035,0.8060134679252783,0.7571062796343246,0.936233959719873,0.8620680882810521,0.8564778407969043,0.7835174536724671,0.7703672280353444,0.780526725284426,0.8941344680392193,1.0719673403950156,1.519803394910231,1.3798048071674982,1.619764096619714,1.6944898890678968,1.7184964904794924,1.8365817302380105,1.6544302462109022,1.7078069030535608,1.4995734130366813,1.471478236094788,1.538717193220979,1.0449365235704853,0.8089407678653049,0.8342294007243377,0.8702085461599384,0.9001236937680327,0.8090169928018851,0.7883107736919182,0.8530630904165578,0.9179848816292937,0.9090114519133715,1.0378961000492781,1.2254087285762005,1.2552100357947051,1.5488852880473105,1.5160837305463701,1.9419652257755926,2.0703380782546503,1.6370552972556127,1.6045215392490761,1.3670969540780737,1.5600683454746647,1.2867923733944868,1.5092920756194341,1.2061748536015608,1.0618778605459245,0.9568731648088961,1.009629349175961,0.9370832547886649,1.0875713824608508,1.2202901168239062,1.5424777856102876,1.5591186854838124,1.4012689291515346,1.2719225366397577,1.1627692615610143,1.1507439478196948,1.3096875468634928,1.2812636946061613,1.4467017231768575,1.2727168793969452,1.5815431882709683,1.3052473789903258,1.485560454330933,1.6321276385594063,1.5503338834487363,1.5755361927141163,1.569306358091997,1.453074498509584,1.2779238424999133,1.0292840778234364,1.2063884539398284,1.6880484642234421,1.4542581374642567,1.5251443261197974,1.7417046145041126,1.6170154407437993,1.6546759903073813,1.6881415904937223,1.832026829966092,1.8425652075520007,1.9646704250380482,2.048598742047465,2.1034767515490205,2.395086266649285,2.455329443646898,2.1772944990490704,2.282534135338851,2.6361431799147366,2.502784318757052,2.140279073396602,2.5288939635149172,2.9177479666381707,2.4808359618171334,2.504559304047981,2.9037278349557836,2.8546161147162894,2.430211708835382,2.688518553982235,2.4404582293201114,3.070425498629056,2.4453732115751996,2.6388697590234242,3.0178881193082496,3.1147734209892293,3.8612605312870816,3.4616999906023316,3.356274466627253,3.0673217022407133,3.143570953029631,3.086289554360662,3.01551145768358,3.0468145570453493,2.7245578889449167,2.8420334169353314,2.6835610616522843,2.5704202511184735,2.476576342324243,2.4418763877903955,2.357336653565864,2.253506616210839,2.074066146671678,2.228181503485723,2.272137585458358,2.5697136926865953,2.777909059512293,2.8632908323556983,3.171323633028126,2.949123250175694,2.8275382436369174,3.214959133171173,3.282612320010288,2.930079401527687,2.9994688488794545,3.353591153202781,3.3407220350137243,3.074094734908522,3.435473706589882,3.67279564379666,3.461671639188968,3.393499925744891,3.6454341063142115,3.3843826249243927,3.4122398763502475,3.190471164645376,3.2458288138293154,3.2951479753434807,2.9279008117311993,2.899359511217651,2.937522620757773,2.807895903487886,2.553910549669638,2.7105167466092723,2.6577239266692283,2.372656808516876,2.320185965030778,2.5431870921571536,2.3856649548375355,2.219593648899889,2.0695109119671815,2.0775163950791273,1.9425847510807095,2.3472984361096243,1.9205296366132831,2.0958634699999266,1.9900481464237003,1.7803217614265225,1.8156875010441915,1.840342977724511,1.8537854117249368,2.0754497629179385,1.8079785374161794,1.9272827889561164,1.6460255573016602,1.8445998258441063,2.2118264234735423,2.6987860143783413,2.8050459193072768,2.125872493684701,2.451457711395591,2.7469915852601905,2.315236837442482,2.1158113332434976,2.61197390894565,2.4801757258414683,2.979706154862667,3.3946480564082804,4.130150566433466],[1.940784867759903,1.7749831458544876,1.6446184075455954,1.1654973466659149,1.1909849719935854,1.1412121470340555,0.869364806472235,0.9447518953360494,0.7087832117078734,0.7342896014515132,0.8186345815346697,0.8212724177262273,0.7837209328429954,0.9229221242495574,1.05707257676814,0.9254302438984197,0.9543695863920094,1.0802649597690073,1.2605168006177918,1.0992674098244,1.159526924986526,1.0952306600881792,1.4058629598069352,1.3422355911170951,1.5551034419369465,1.3710903284560116,1.0159559655010144,0.943720179375674,0.911763123328394,0.8268438807827806,1.0641427231148815,0.8831637076620772,0.9842938335653765,1.0198299448751367,0.9365015381756958,0.9352056052565012,0.827085439760038,0.8689838016422431,0.806701477966831,0.7776219472214881,0.8567125884201685,1.0096665144578543,1.0503805966264068,0.990779544273744,1.2285489442081254,1.358786500341817,1.5827941539255088,1.0888125138284912,1.0194259418259026,1.1915640799778922,1.1238220157798093,2.2171852355058785,1.800082273805964,0.9435671928979624,1.2139848885735187,1.1673630310915661,1.0698908009626846,0.9532342678803346,1.2410261290593947,1.0605554003946542,1.305533280698506,1.3480978448534178,1.1471296042214154,1.2839772005450547,1.2274099779991279,1.1890155767020223,1.4604252346461237,1.2456759955815402,1.5575080847828604,1.418536012466365,1.645962499282592,1.962581054505962,1.6432040231351968,1.684706404915379,1.357707196033037,1.9033198143688288,1.179329200759138,1.1349766152744754,1.001617667128465,0.9543245911907531,0.8112204397615144,1.8727389378366082,2.1974532460981884,0.9400525799753608,0.8544937613651256,0.8545068285337737,0.8642931976927601,0.8444873776987948,0.9476189940459981,0.9995497295972645,1.1262593157979084,1.3566944674102699,1.2437010969732114,1.132743699412886,1.0674247934917325,1.2026890947596582,1.1298783288361107,0.9321686337047973,0.874797456272637,1.1063796076123886,0.9035580852078458,1.0522114934741496,0.9339892001056109,1.1756245578215339,1.212779502439276,1.3082880846062694,1.6206993532446112,1.49889385246332,1.540399874892432,1.6106370142500352,1.3708316909656408,0.9975223181005626,0.8470081679359337,0.7419619603220513,0.7502812025026655,0.7914894154570675,0.9194792678541513,0.9956851341154155,1.2526534100716495,1.1349767279848413,1.183482883977257,1.0214504576233692,0.9431303958582736,0.7952569757208707,0.7310730665068434,0.8183155845077099,1.1153928508585043,1.025214907775951,1.22715101147857,1.2464099009001695,1.3573420600826154,1.4281997068848513,1.279430948322221,1.263979665518179,1.1523652245448446,1.1534922326757275,1.340562963576366,0.8886573900318513,0.8032217931646204,0.8035723092775691,1.1167405214999018,1.1171255712936439,1.003431201026303,0.8117276350906851,0.8124312648002001,0.7918253639096643,0.7505184322348792,0.7558693555819372,0.7948760439451557,0.812324613887151,1.015052065880689,0.9692111501758524,1.42069688669298,1.7318120823827754,1.251127749719078,1.06877852171782,0.8961742558865686,1.0298622955423264,0.841873049202153,1.0110038078340065,0.7958798577725705,0.7676367094645059,0.7480543924068698,0.7381563917880922,0.8008509809417657,0.9226282256281956,1.0280145544848467,1.4717235030622646,1.4266637687428847,1.3081126282816924,1.0635736661137623,0.9388957014072767,0.8561109136700885,0.8934600998587381,0.8394519989836202,0.9329067897882125,0.835214019154087,1.0928051460749646,0.8377634389676889,0.9837425279770209,1.144967100948566,1.0533394837271648,1.0907062471012994,1.1268796631794344,1.041019269039985,0.9189154970329324,0.78581489127115,1.0675750048593011,1.5520241294808381,1.3752786158508226,1.3536183842947533,1.409815261203847,1.329259011226233,1.35075803540161,1.3605525375556642,1.532870264556502,1.5556554080674865,1.645881630738813,1.768256512187351,1.7346088269024278,2.066781799734598,2.0479748424383217,1.7935767336104975,2.012605185813525,2.331700754983323,2.1575880978759456,1.9462887777009514,2.3380599579354926,2.6110183423571605,2.2370157599904896,2.373075249746924,2.7417765613652922,2.601716958566829,2.3216647076119563,2.6872824245885,2.47975036575103,3.064095239296289,2.56750088286129,2.614658528644705,2.9756788865062913,3.082869869330498,3.8405824280597134,3.412133029424687,3.223474191953358,2.861228674762649,2.8773748577499836,2.7450540213561863,2.7056985921641594,2.8316794607023503,2.4699791927232653,2.5225579869295367,2.4563977342026573,2.4035953377398505,2.225133772110605,2.181291071879398,2.2161363894111124,2.152827947982799,1.8673364282539258,1.9870277195026005,1.9053061748547944,2.1941822921856877,2.396534558518402,2.41214523439727,2.740763970423036,2.438071759345116,2.3721975097422305,2.7811171722858212,2.785179727982277,2.423700853751144,2.579655313688734,2.902242657654088,2.8664943540458583,2.6678540896511156,3.056549969164919,3.2607057788250553,3.061175648788582,3.0923870031042666,3.3585529810960453,3.1336380529853303,3.1204746638133454,2.8495732408602326,2.9520888223357558,3.089656255128807,2.705956585729026,2.651986050691638,2.7941780122879365,2.7019538968166565,2.3949228206529822,2.594131017836149,2.668378903922491,2.3562937854428707,2.2429445251639697,2.530970753523348,2.4617298813138624,2.286379333249738,2.1484302714257018,2.2518593260501043,2.144157775214774,2.5484495348018013,2.06351918346706,2.102009327073027,1.9308573913589864,1.8385249715567689,1.8321471863926893,1.9015661623259272,1.8252192671005523,1.9593346495562876,1.6030686861761312,1.6241086778028795,1.3297670242956736,1.5128842536696607,1.7555187441755085,2.23476058751681,2.363477025593255,1.6721157256113264,2.0480397286194556,2.2588658862257276,1.852167188053842,1.7240092048403448,2.1994794191113667,2.0513081540629043,2.730087471752929,3.207749865976589,3.9940677316790145],[2.7377750799444467,2.5587186452538,2.422947448253175,2.000240403610255,2.056979564263799,2.2284180061776233,1.9956614524665386,2.165339862288584,1.9047143207754058,1.66624488500797,1.6335568225971524,1.8425169925492593,1.6867117947088346,1.496722889771212,1.552632764428044,1.621517398450497,1.5207894632086532,1.5027711599075793,1.4402991740433237,1.4639374075363394,1.473451420335912,1.4862279659829745,1.5478922445857382,1.5520225487240304,1.5528225606115644,1.4613550775010162,1.4260376269357444,1.4514549565337496,1.5294147328949694,1.6684134679513447,1.5861387943711545,1.7727820638906113,1.8158373920594029,1.7228163222825894,1.6912794587597053,1.5922705831591724,1.7170497144601753,1.586129433020511,1.5538519368736945,1.653389966544416,1.4972791806016756,1.4544238382506183,1.4436508855075436,1.6056753374463946,1.6090344014958744,1.8413487389066352,1.9763365780488917,1.7041613690325481,1.789494334414198,1.8466453930426785,1.870975065301282,3.1938635523885655,2.6598514083163805,1.872507241464988,1.5106275544550511,1.8320560416659246,1.6717847006451334,1.665522363099578,1.8243143253181124,1.4933539336925945,1.6675360330055675,1.6184290134852422,1.6022100607113672,1.7279270024346982,1.5317192780648343,1.530112378612005,1.6055669842422375,1.5102618457784638,1.5982520276482193,1.5175967261570147,1.6338125271524577,1.8142030442285855,1.5900080424995522,1.6441351940799802,1.5473371420344644,2.068181256684225,1.551195625122451,1.599337880102412,1.5978036430303388,1.6121420168514389,1.7378813790014735,2.7490267408513196,3.096950262472923,1.901703157045748,1.6988956440828784,1.6701563430786113,1.5713656348847713,1.753518784546301,1.5620187688806768,1.6879206855280724,1.591293994039657,1.6971736643499995,1.6280201802909657,1.6727783754693384,1.6447075285032196,1.6377098937322494,1.6107206275951242,1.789059019636729,1.9079957931266942,2.2530128973303825,2.0810275173123762,2.2827554498874565,2.0924197432363565,2.3068075913952955,2.2784229316158595,2.3524301640087244,2.566608376710875,2.419070455861097,2.436527352726623,2.5605588607327827,2.39205974702223,2.0668954948737563,1.9670522864530826,1.7328811773130077,1.591119115468687,1.4803473498749902,1.4230522882756154,1.3404786945964688,1.4074063108410264,1.468843702455831,1.4125421125140225,1.3866065194802286,1.3753895717130251,1.4848029640605342,1.6209041210384438,1.744623150421223,2.0933000009485054,1.9767136224116195,2.1596349872791154,2.2124278402484903,2.183422955978926,2.2455387079067752,2.1244369350869317,2.190959644915412,2.0449961209677903,2.080314933117014,2.104411652644886,1.6887736457572695,1.4525757976807239,1.5080475541448788,1.3739130255051253,1.4210204719691646,1.4099502553021446,1.4264282768350978,1.484257509165793,1.564196566653108,1.5615298871985628,1.7303914885645646,1.9000700686607046,1.9528379542221426,2.213213042215965,2.244130096813466,2.5969143366710723,2.8093362523549144,2.40706764736849,2.3276203328142375,2.121212456279568,2.239438313535263,1.994314961345092,2.1031956708720783,1.8257925041144045,1.7142106846460496,1.6134174140548467,1.6337528946439028,1.5698997394279395,1.702566596805941,1.8209844616932056,2.086103994825292,2.06778535635843,1.9549948218059703,1.86035603225873,1.7843770563841037,1.7508274495195122,1.9055024793066675,1.8842894392157286,2.0424654525871055,1.9424995519883779,2.1699735542483753,1.9122556414870915,2.0467378248576877,2.1777358674783227,2.0920249001278863,2.0684923781697933,2.064588370637691,1.972618788915168,1.860996150782177,1.6604147851903386,1.7104673151433176,2.008996874879018,1.9101171592153556,1.9248769595357373,2.1905257279438124,2.0923632743551104,2.12537422390444,2.133118900328505,2.215763864996152,2.2376566534777895,2.3348576292886807,2.4009692768441555,2.483591778897222,2.6961516651022457,2.7819412122200182,2.567806681882803,2.620229845544732,2.925808551560852,2.8645832294007816,2.549108224886625,2.8336431105832056,3.1819324427171507,2.876176241715224,2.8608043713277405,3.1690171631301416,3.1958744419802363,2.8545249905809325,2.993601318301718,2.7669791051432786,3.2557058641488337,2.6775398569494326,2.855232403672894,3.171427833726388,3.2235667643213346,3.928380093482898,3.533237523191426,3.4191805315324735,3.179349465935053,3.271786253345066,3.25069249421274,3.161559917318691,3.185725563291488,2.9093635230269634,3.0036592465177527,2.850961626179561,2.7577625763831524,2.675652589094094,2.6309572565653485,2.586424406374734,2.533329401048586,2.4111223270034863,2.5170659684463863,2.5911993597203207,2.826992921294173,3.0012070375559228,3.094191850516944,3.3924650441322313,3.1959999531098213,3.096354183221712,3.424573763047056,3.5312744966418843,3.243380631758572,3.2761275332702,3.5959501496377144,3.625494337090684,3.378064647923477,3.6264464409073156,3.8591207156490643,3.715288092169718,3.5902776116581436,3.7730369624101687,3.5283555886168094,3.5440112885193487,3.368251872601309,3.379094761666913,3.4114464167767573,3.1309060684866052,3.081456963267402,3.08843407767042,2.9864396021666835,2.788629352699075,2.8746474865012672,2.829098647988514,2.6074912438270945,2.5738138432694644,2.700545736054839,2.5550177032037413,2.4305003868065382,2.353938755922983,2.3082765430315724,2.2239942157114316,2.57969877454873,2.264983340080541,2.4460343847189487,2.429352842981643,2.1796768635133983,2.2018729998656603,2.1893100083758696,2.2198890879239728,2.4144560643671658,2.2646079085352726,2.3564922458453963,2.1848575567662434,2.340676101602599,2.696553243516556,3.1441114942441515,3.280061512694221,2.6969780761343034,2.9655328614674294,3.285786536448309,2.945885723938199,2.7457347275033404,3.1158598211630126,3.0589178309804685,3.844916899890012,4.013895669977311,4.394305410539012],[1.8791829073765078,1.7179723662410398,1.5970783551987873,1.2402497706348545,1.2725975403922927,1.3586057940887994,1.1232855722632884,1.241812466182037,1.0359248381489394,0.922190332399781,0.918816089201223,1.0248542466769635,0.9384726918585523,0.9444407203109453,1.010437885256347,0.9773325543041198,0.9916865185463845,1.080459217201606,1.2029681365344764,1.1122148436207702,1.188309189784075,1.163366161712625,1.4261395266925205,1.4324102649053347,1.4798091902388701,1.3438946671409473,1.0719207971410627,1.0102933140918642,0.9945059804724251,0.9708273002358819,1.0554776037478484,1.0362835069303706,1.1114524365474894,1.0792177411283208,1.029447628778286,0.9857542163856261,0.9761108741198615,0.9867790337119917,0.9467122656633237,0.9706977219544181,1.0182802868535592,1.0770506143008922,1.1072674308693238,1.1704932727494037,1.369681773328474,1.564704055823685,1.7433914915024429,1.3290380719767017,1.2505379393965153,1.4086531246322476,1.3305617819962208,2.4707112509392686,2.0921786014382677,1.2209689369442853,1.2300989946802572,1.302565374591719,1.2521357133098967,1.1182226512515965,1.312634594019116,1.1097459514098453,1.3517428661435684,1.3055629439159309,1.1816502615674276,1.3872682075452727,1.265698234455165,1.1843700414383658,1.4108733421392523,1.2026336993484763,1.4846302133506917,1.293027026939171,1.5283295992344084,1.825970687462388,1.4849235949176818,1.5840973260858955,1.2537894160099825,1.9018131617075507,1.145621523062779,1.0954840564565422,1.0323540913223237,1.0199162703646638,0.9846711968656415,2.0535389395247585,2.3961144573157185,1.121080334319158,0.9988672174419981,0.9731038831712365,0.9476737009789876,1.010651136043647,0.9946808074318025,1.0482362448460574,1.089534921230421,1.3195454354339315,1.1773542026131711,1.1133848929106083,1.0577178978952688,1.1084883014725333,1.0766966882361102,1.0692518774443605,1.0995065914540145,1.3948580903676975,1.1936957597331037,1.3520759694320645,1.189985032218332,1.3581138522659522,1.3468198943481218,1.4165497965329983,1.6361659290940693,1.509532950561114,1.5492918637733721,1.6714267444722761,1.4664337787527206,1.1815653208272225,1.0991188444568036,0.9697762502446461,0.9226768185468491,0.9390710302805162,0.9746679401325248,1.1048355010136155,1.2731406625537356,1.1383211149873054,1.18027698913997,1.0111897160192318,1.0636828731296166,0.9678919018200938,0.9525172709479672,1.0599751866444722,1.2291866529877895,1.1524274180525291,1.296218400187414,1.3235005535949718,1.3477862610540536,1.3709277713050183,1.2968004114539489,1.3101387579106891,1.2498337539219497,1.314717354410621,1.4307277703983903,1.0839054680255797,1.0022530154248326,1.0184547842542857,1.2750705748950206,1.2807864070684871,1.1414051043993216,0.9980184890591074,0.9768975389258031,0.9435015443633118,0.9227957754698733,0.9532770130889398,1.0459246060408647,1.0786468505124784,1.2644833981113826,1.292366759869227,1.680153675088631,2.0421170169223024,1.5739469248533504,1.394530440368088,1.2047936510428796,1.2901186602090187,1.1060204144399235,1.1974410326386316,0.9956065341395515,0.9666289582523315,0.9694441067593502,0.9448341344750263,1.003000494308378,1.130195391923366,1.242327841464527,1.6771101326510778,1.5803287133267232,1.490543364638601,1.2215103010227715,1.1363117454484888,1.0336891926402287,1.0888746739746424,1.0455106834595627,1.1303226548066225,1.0746685693802442,1.303242951891292,1.0615638751901935,1.1646998894676328,1.3062489252306266,1.1812317131404109,1.1698412137644518,1.2014992708401226,1.1480165381416718,1.1196403641132924,1.04027688765896,1.2601043283592688,1.7654371107746003,1.529731966652748,1.463555213700679,1.5371167644065071,1.4319346803773494,1.415052185730595,1.3653146964744602,1.4526484007677567,1.4916025909469304,1.5030051198549674,1.5861035842963143,1.5964289493523323,1.8371883583980546,1.8922007309841185,1.6872023924457482,1.7903711924527088,2.0763157452118066,1.9915400480424355,1.7608504105687832,2.03965190548411,2.34796224103099,2.0473655145158194,2.094868458606056,2.394441386216644,2.364745140506976,2.1020042743892087,2.3047117723172983,2.104252274935307,2.6127831506345705,2.084100693760735,2.1617426986490442,2.4825606908793283,2.528958129515202,3.32984289705958,2.817361698806379,2.745354106764631,2.420487150671428,2.4870545039123875,2.425550310465063,2.3547047482826597,2.426732162865352,2.108809416667556,2.199559525881154,2.0568859514228417,1.9970330501647098,1.8797594174880634,1.872519099962781,1.8526434590585106,1.8294197464352808,1.6741592519553319,1.7150630627661867,1.7215904272635663,1.9584027282664611,2.140658857617472,2.2215523494113443,2.540811964415892,2.3087423641331273,2.212228173486149,2.566316727438628,2.66099710972966,2.342142037840683,2.4028103216945693,2.7384211365058597,2.7602541924703767,2.500628396231204,2.797645250608512,3.044795809253907,2.8757567754259634,2.7800645108424074,2.9910015709161653,2.7489993794331578,2.752152188576993,2.5405759268758388,2.5795492844378174,2.649604288470962,2.3395264905005906,2.2849712172411034,2.3433282834252678,2.25649528095713,2.0246387521769966,2.1411317516838038,2.1892993555491485,1.9334773227759139,1.8588644976178066,2.056998820300949,1.9705332242445588,1.8384444712505268,1.7754093672921718,1.836453060663818,1.8124175494300818,2.109975488647177,1.7363493819860107,1.7792164916919633,1.7208684936868412,1.6372321771300438,1.63923229741524,1.6742159268810948,1.633567328278976,1.7093032736229068,1.4736981256970074,1.5235965463194232,1.3595108836878127,1.4804655744595967,1.7783134719562839,2.2261897462454763,2.4887758982213466,1.7699673144601213,2.0503247734348276,2.3595214085962684,2.0375423884747055,1.815795305409381,2.190989774459021,2.1920953093658833,3.139808641892016,3.4957311856194604,4.106371932891417],[2.0278163194175085,1.8340528814325028,1.6561032548993946,1.2874197166365633,1.2901603470844336,1.447128531365054,1.1772297420706859,1.3292119559491948,1.1116808396059583,0.9433502754674142,0.9419916158123001,1.080671643052676,0.9665549222751578,0.9350652500989548,1.00840849450607,0.9805437564878912,0.9953457095418893,1.0662175100915978,1.1990627327156986,1.0972264601723738,1.1908038135193575,1.158521155058153,1.3918413679757726,1.426474683849986,1.4814335159749599,1.3481843880683737,1.0632189357179198,1.0029258715642462,0.9832541379537896,0.984803571182151,1.0525654689549384,1.0693276430109466,1.1562224464703759,1.1030473299192962,1.029196523546722,0.9865297169922752,0.9890079206791982,0.9769765486603142,0.9318682379112531,0.9610462376506616,0.9846476902324576,1.034344727593639,1.0552526405744598,1.1245643631455968,1.3589585932415547,1.5464254600170255,1.7205653527205265,1.2975431799119388,1.2259563341482016,1.3661041567250192,1.2922376661247674,2.517905882953699,2.0801741199310597,1.2152462777023463,1.1211264319679235,1.2768080280482677,1.2420904110782711,1.1049413644125823,1.306012489063621,1.121267536784142,1.3413462624459966,1.275521426775326,1.169048437416242,1.4041461195868439,1.2471128273323444,1.1479879026461897,1.3807855668533697,1.200486195045208,1.4625288784767834,1.293941775951109,1.5184039579083761,1.799497541652871,1.4894915266282625,1.5592702438562258,1.2555149870016316,1.846550613809696,1.1429263017035742,1.1132692174892316,1.0291390884949327,1.0196149742243559,1.0160360471628758,2.102194690639847,2.4195335022824866,1.115617667355638,0.9936184324626436,0.967826707434428,0.9435677197822343,1.036081184718158,0.9841137220030588,1.0578692225729271,1.0827816880287535,1.3267237082225896,1.182554078785832,1.1219508670971836,1.0656402460569632,1.1352663550486022,1.0755518331678968,1.1133708329035288,1.1707204517567407,1.5090273963344818,1.2831117961630245,1.4330249941451971,1.2392007236161449,1.4118745782726883,1.3790545763955122,1.452501957798968,1.6688034791275357,1.5084562413110971,1.542500301772755,1.7127700174525133,1.5038930518654066,1.212164960786195,1.1360204828710214,0.9832155322662571,0.9272677816159279,0.924630106111217,0.9908016084644684,1.0586631101099784,1.248605623523231,1.1349924116012025,1.1599996450208279,1.0055740591268103,0.9971970193692437,0.9316331929804003,0.9394220622108205,1.0200283814447793,1.2432003103756735,1.1592220655465117,1.3037920423877851,1.3488575969734122,1.3526057743360507,1.3911716016663545,1.2799787676855994,1.318322630570578,1.226316035134648,1.277019726678848,1.3210809474017777,1.0083429159368518,0.9389961862720636,0.9587942793658465,1.1727121856966756,1.2048717822735773,1.0843555357878756,0.9438243784616879,0.9571375033227127,0.9397190289999735,0.9183406412386748,0.9774413466045583,1.0654793946644185,1.1203336500463401,1.3501960963273705,1.3909040661105274,1.7820985230283386,2.1994922122350227,1.7040131166276398,1.5043564046025317,1.277889635030304,1.3694804516205323,1.1514980316286643,1.2275955411025128,1.0010966794184792,0.9474306305479873,0.9402677095490661,0.9297360305622528,0.9443738012466265,1.083561841079401,1.1787163764090296,1.6168922137351553,1.50298294512086,1.437483186014034,1.165825903710368,1.0733443753726495,0.988639077253215,1.098262363785911,1.0480475299281211,1.1562137314203218,1.0939532349093968,1.3018201198758497,1.0595668866001553,1.1827115445270056,1.382457996995362,1.2023175835703683,1.1809804049555677,1.1849129137821897,1.1333824439855653,1.1056195161528328,1.0001027491800154,1.1707778229971735,1.5825553851114937,1.3904907903463144,1.3527096082010643,1.5164005584233975,1.3176495757305116,1.3336665460149253,1.313364647892691,1.419230565791417,1.4539135273939756,1.4855744460232942,1.5705975103200531,1.640157815462753,1.8225271577886868,1.903561414140233,1.7044582540809754,1.7909628784256533,2.0811715020685813,2.0252554438306594,1.7857823590803703,2.043674980538247,2.3740085961242032,2.1007729215860884,2.1212669268912947,2.409124005524967,2.4252173452642345,2.1588066910611174,2.3119650116051313,2.09387804563529,2.602533797436848,2.0095920692049347,2.122533286790146,2.4300219004152472,2.463286753986265,3.2728791776899375,2.7493411730134953,2.686039194490277,2.3724723164715145,2.436802245784641,2.407462104266113,2.329034866396937,2.3576729080746994,2.0741746879319924,2.1719295250015604,2.0293228311151372,1.9833295786428105,1.8622059898155117,1.8431045448476562,1.806986455959183,1.7705537797039899,1.6270500167935458,1.691725424243676,1.7144305919974334,1.9591369705864632,2.1428373201360253,2.222804708787526,2.500796950855558,2.322336519971052,2.2311038856873844,2.5539950823313022,2.6728538930816015,2.3804730390786784,2.42888306852023,2.772742696064576,2.8134045907043146,2.5582664493088547,2.819767587953333,3.0817329335123986,2.9459529560817144,2.807742416353025,2.9823987514205754,2.736340606956668,2.727965150966199,2.5275743743353045,2.5407161862601697,2.598666799230966,2.3225555422834487,2.251384874115738,2.283754419260832,2.202699112767994,1.9784868781453593,2.0733627116411517,2.0731059612313305,1.862732566542156,1.789996466855965,1.931998253059222,1.900197274375433,1.7782692378852252,1.7108769787978544,1.7209325862210587,1.7523080207276203,2.0438744592589084,1.6717645762977267,1.7491995720998965,1.7307787408205497,1.5877121034927304,1.591853260351405,1.6163009858719273,1.6008007047397672,1.6931401907317234,1.5002496702449646,1.5271248249876697,1.3707631869267471,1.5180145120457564,1.8306013917963226,2.2917229273111954,2.528131266122233,1.8480483443116242,2.1486581856921028,2.506721879845999,2.137543443005565,1.9567936129652665,2.3269518243636678,2.3254076271829107,3.48863155534773,3.8282471122380786,4.349081255126529],[1.8363204764017187,1.7161772109942035,1.5841203841919873,1.4202707715828884,1.3932494707674834,1.4200381204413541,1.2948405711483182,1.3466966826639017,1.3317968156574662,1.3612813154079861,1.4504359038845749,1.4396997837773742,1.4409302033247327,1.4997148172039871,1.6413344889638333,1.5723799415548356,1.5515373642477817,1.6450085087850983,1.7487735430245361,1.6816699824633061,1.7420494993110447,1.7111820833420806,1.8980008473981431,1.8863993136947215,1.915589016533887,1.8313870295306844,1.6094985145901244,1.5569455939199823,1.5542935517035272,1.5073330253518828,1.7080993786977294,1.569121392828238,1.6506584318135906,1.678134500326917,1.6188293806749543,1.6034132689877616,1.5215450977183556,1.532943954680203,1.4675723151779212,1.4549228298638524,1.4764316659801016,1.5827919994007202,1.6409507881369614,1.5880355421910262,1.739463228968873,1.8749174787622898,2.0575387086665127,1.6744062646870437,1.6802626120020836,1.7853647101777794,1.7214327882313702,2.408689200956397,2.2830551704139017,1.5858116815890482,1.8246362815697732,1.7652021305095418,1.7293054877688898,1.6661391849175824,1.9202012620801974,1.8351402763369502,1.8970688593906948,1.909758423503492,1.816627812779566,1.8903025051112108,1.8526542928559122,1.7896657640902534,1.9867838647205687,1.8230516061458304,2.036727972417718,1.907599431692302,2.039481160284991,2.305161131803741,2.0821342682730237,2.083110232320394,1.9290241585893215,2.336657632621174,1.8125141954918318,1.8056058822579482,1.687881189983977,1.6574111912289808,1.5088574320453512,2.183179501047646,2.4392634248971503,1.4445685778536104,1.4861526938556928,1.4778415791683643,1.5482932396337314,1.5418474127171025,1.6238971984787394,1.6652284334004022,1.7481328265460538,1.9709641140867378,1.8553600915801036,1.7644991245138866,1.6962312367469135,1.7810104691283553,1.707863472115147,1.6031281195749976,1.504169627077425,1.5482940703566057,1.4604894281455898,1.416244750473495,1.4073190653757173,1.3843817525166693,1.4046212829097737,1.401748471076929,1.5822366856565373,1.3970876600437847,1.4279323446758114,1.5752159324405504,1.3918196319634655,1.3213707647142783,1.3047000030320617,1.3450447885830803,1.37867232906684,1.3823111297925497,1.5098864237937648,1.523064183954472,1.655824309278867,1.609123649344976,1.5994254810403383,1.5311370924465715,1.448763719042502,1.3395347319144766,1.2930327056943434,1.3042569417297016,1.3314232662892427,1.3204425162379436,1.3458311485192966,1.393079085145987,1.3992471073247255,1.4032940052083422,1.3629915807014428,1.3848211102752641,1.3760421738549984,1.4197443741486324,1.429563926386204,1.352281691082592,1.3678336767743637,1.4021262498601095,1.6149350131753897,1.6128563132860072,1.49094438898736,1.4271091552640183,1.4453782589186608,1.4300950053548729,1.3982706215790075,1.3899211359856283,1.3465882145862926,1.3438884250411143,1.3618237984139017,1.3509268203611926,1.5240825851286262,2.0325233253221873,1.6628738731091801,1.4255642523243295,1.3762051943006024,1.390128811529849,1.3781175467340177,1.3519222462460598,1.3532292487622661,1.3881440759870467,1.3631969154057013,1.3833013038576203,1.3968867804587946,1.4158791167601927,1.4903628763015855,1.8791855316508612,1.7417413072339065,1.7055189014030092,1.4367494389831867,1.3839736354133565,1.3589753367039488,1.3774406486673503,1.3520342211245315,1.3502404514115536,1.387776439181857,1.5154655091108438,1.3838766915227938,1.422577496621397,1.5366148963748696,1.3282697227901155,1.3204905963873212,1.3443703068451296,1.3484714864238758,1.4198585106531294,1.4673310367505252,1.6047763156276817,2.0395647609994545,1.6440711368561745,1.745229088299229,1.7565401307959763,1.484127098083149,1.4671130862627857,1.4184096021524795,1.4787442244169366,1.4836683646815858,1.4496190658987234,1.5278912076307714,1.5175548994855792,1.5860777534301096,1.5937120785391128,1.5106597223256288,1.6320732383815988,1.7674492824617274,1.706926566436639,1.6854766368480063,1.8280338405610093,1.949884011104645,1.8243563620323164,1.9352062852834357,2.096038315873388,2.0288512984265314,1.9860288296719144,2.1690459116113256,2.0573966198713767,2.398136922719761,2.0707583596697554,2.0089169146240615,2.2050002069434034,2.2380746274249166,2.920046692014542,2.5272374765952956,2.4722815812657335,1.995837313487358,1.9989137707605635,1.9694872397889165,1.9616219238907777,2.0056772061220682,1.832748020363571,1.9502993467516647,1.8445108147483784,1.9016850045142482,1.7753476022008272,1.7931349339400895,1.7566925277776746,1.7427373006670706,1.563454008706123,1.6168848006725987,1.5252678284129741,1.6848369586495635,1.8025300776491957,1.8018759404874816,1.9750285308918751,1.7642480756557957,1.7805801681587012,1.9822825155888357,2.010440799548753,1.836483737768884,1.9055461500025468,2.1021194183670175,2.124068410977982,1.9744822659073138,2.1920779474038787,2.3716883425903306,2.2838331685000677,2.245997086185306,2.382655517800714,2.2370815280726846,2.187912719070178,2.0235964029034457,2.0609538141324792,2.179711007851571,1.9795954682819288,1.9221434754150306,2.0088134784379195,1.9943780150508637,1.8171765299795266,1.9031916351589406,2.0301421616693807,1.8523902312701155,1.7405420724357008,1.9159945271199785,1.9441057024802242,1.8768252766505829,1.8301083389515673,1.9316572725025427,1.971958455160272,2.2615711759920525,1.8593461039638868,1.8093420402442164,1.7538887196566553,1.7621548434222833,1.7206030171072517,1.7786164768634747,1.6941534887188112,1.6989099849642133,1.5141662069291315,1.494780010248564,1.406850927867386,1.418205559067838,1.542188641020486,1.802165339405878,2.092133912511957,1.5595462744988187,1.7494677958864904,1.927332220207005,1.773968680909044,1.6508960162357984,1.8469647026032405,1.80401490027307,2.9933828414116475,3.4766887938286835,4.216278572059331],[1.1967730192413586,1.070175269722698,1.05169049185977,0.8941457981053789,0.8866492356918193,0.9155225593808904,0.7820164086631815,0.8176745339591034,0.7488299908728174,0.7462153134672336,0.7903994003115122,0.8327869769947182,0.7947016565300732,0.8217733750545457,0.8921104505682833,0.8374711317920581,0.8735101694031229,0.9076214322618339,1.0305658131402298,0.9601105355154061,1.0035265635084425,0.983225526897773,1.2031694668546364,1.246253705286229,1.2980735122467497,1.168210622900157,0.9344848867300507,0.880394243173773,0.851069533711288,0.8138426427329307,0.9357439367364762,0.8908895578839092,0.9949796844695419,0.942367979803509,0.8970072862188774,0.8464415183262013,0.8467737136278165,0.8384666104378314,0.7969521157277639,0.7923303964161259,0.8519514772025467,0.9225616072747506,0.9768795211272008,0.970644066532944,1.2585341863602384,1.4711034598577941,1.6655534794689821,1.1239095033821036,1.1062177390165175,1.284652856830356,1.1531986913504668,2.162992181584835,1.9285842099202273,1.016719956047951,1.2544278223148042,1.2356874690836395,1.1714858104236494,1.0542799070252202,1.3481217948125082,1.0822464729083472,1.162786787028442,1.1418909844043152,1.0304208340289904,1.151944206306032,1.0569561215739616,1.0294310039240933,1.2343739984653912,1.0434293908166938,1.2942236847447732,1.1318844329201052,1.2926553160926857,1.555664906705766,1.3051493434406294,1.3545310283802563,1.1105319305512817,1.6895384753092233,0.9929286268196998,0.9967045293168796,0.9005234300998997,0.9075410954403393,0.8238509468723955,1.7613761361061404,2.063803127420593,0.9592057137543412,0.8869764631693925,0.8870724196203293,0.8493458072658824,0.8696705758032125,0.8579915029653052,0.9068406112231173,0.9526928242101085,1.163571277031769,1.0392298064672785,0.9762922294985285,0.9290572816806106,0.9875703889336563,0.9634268225046628,0.9103409971077147,0.8922811914792192,1.1338711524152223,0.9290154167973351,1.016796516420759,0.8959017240949644,0.9668670777678775,0.959281005516024,0.9272223371380497,1.1033078018057696,0.9271405297922489,0.9678551588455273,1.0748662753572975,0.8789106135354116,0.8008523209762868,0.7868185495407993,0.7877734773188653,0.8021113155329598,0.8140606546143248,0.882826547205671,0.9639708780360188,1.0386510165855414,0.9337089408770499,0.9498115755667855,0.8864182428765449,0.9017832055002764,0.8142258444990091,0.7817466900939037,0.7952434063916182,0.8342155534798606,0.8042722541609589,0.8407661625504642,0.8571628381961275,0.8805151068599021,0.9287891475084338,0.851959335264829,0.8716014942980794,0.8371809582894402,0.8768857803125315,0.9884541756936381,0.8476728431840361,0.9320642151975956,0.8908615385100215,1.2206049905514222,1.1547753334311037,0.9681823359371636,0.8621761858758844,0.8366386020971962,0.7965421443463426,0.7830948992314432,0.7872986646324699,0.762295708679251,0.7970512177805348,0.8727469965128501,0.883430159806283,1.251355683362715,1.7307945092453918,1.2852650045723,1.0122089413310107,0.86986499473312,0.9263055178162962,0.8145592389589542,0.8813763845586933,0.7676263653517109,0.7700629228620552,0.7794322242121341,0.7662673878280465,0.8697034274950416,0.9338514142899801,0.986862188937496,1.5048086117508583,1.329542961401291,1.3153667807221159,0.9190450640644077,0.8555611246410513,0.7893536393828406,0.7954382400364507,0.7735401047517035,0.7943314794465495,0.805603776935964,0.9991474637691935,0.802951389505211,0.8931509679562241,0.9920602008673549,0.8035244267616966,0.7964803097431961,0.8135309799920015,0.7960011503321404,0.8463742468719169,0.8505561041041988,1.1408490798185498,1.6137506821688592,1.3550869982686453,1.2687800100948532,1.2367140379164927,1.0189846210353641,0.9854727043435816,0.9063024757575469,0.9889695527785343,1.0360248939754122,0.9325098606322217,0.9957337498789663,1.0170048555830264,1.0849636393059323,1.1107404670164909,0.99580930878077,1.0795545775870359,1.2071768447438742,1.1543985622090889,1.1020247663881233,1.2376736121371825,1.3745229622516817,1.2155648272766355,1.305212963447378,1.4471709535488944,1.3939911231060422,1.3291220897780216,1.4792074620630722,1.4090948179792733,1.684359172746112,1.4172421474437518,1.386838414263349,1.5440736635269945,1.5932456938641348,2.371662792844171,2.0335420974283958,2.0706108170205435,1.4796504920247697,1.4796530439012558,1.4665633118418864,1.4606678302900022,1.4559329156245107,1.2898404231617204,1.4374224356627168,1.301576199173642,1.4200973048641048,1.239828167714461,1.31372355545521,1.3047651579500366,1.2299382765282514,1.219351222713643,1.0686945900074454,1.0279588858281148,1.1993857149897718,1.3130609451926658,1.3800798793359912,1.631698242960527,1.4511983088813865,1.3677619311093072,1.5841231582517858,1.6707313728538067,1.453643639302365,1.4196140439565568,1.6785646423357852,1.700415355761855,1.471100863726189,1.7036148926290664,1.9255690295672254,1.7584786149150495,1.6708840758239136,1.83528596984229,1.661434012935032,1.6736748870973641,1.524871522839746,1.538855713046992,1.5982398438411338,1.3856844995972477,1.3621672099849886,1.4061018105695655,1.3753480573253656,1.2273204828470805,1.3343625067915235,1.3907271039396394,1.2810840182135055,1.2094799576785602,1.3281268752830957,1.4588130123972611,1.3938665925254488,1.3607066573302562,1.5229085453193496,1.5972968640044574,1.7178171108632514,1.404809353957283,1.2431938827345426,1.1875203006864608,1.3721438197881115,1.3521259276576267,1.4239389295600893,1.3260904071952837,1.2065231500834068,1.026724284164686,0.9653082093965556,0.8886084888457874,0.9486524117374648,1.049103491665743,1.3251982355979088,1.6410530032097483,1.0269067755476047,1.2009261431002038,1.4037845824682103,1.2340011716323644,1.0657821242003125,1.3235576553665882,1.368865473072308,2.200804739355923,2.920121108450706,3.824519623273043],[0.9752257694868391,0.8526496344842981,0.8520149344001289,0.7524184231674879,0.7665789159405691,0.8083460914216801,0.8005503968430167,0.8325557677107689,0.8644956231372388,0.977153976201315,1.0692640444961856,1.057357816053284,1.0533527781433774,1.127429409986833,1.1895796002361136,1.1274651702414205,1.152479862094181,1.211170453476208,1.32448438432617,1.2394508062694845,1.2474967591439712,1.224092617807746,1.430895218654259,1.374116038348205,1.576321764433101,1.4269363723583157,1.1828342392075841,1.1245615130003168,1.1240374202698074,1.0784277570620677,1.2106847954752018,1.11024352987327,1.2084312104459616,1.2144369165334286,1.1572957792800869,1.1400035480780866,1.0934763666185128,1.1102141713523506,1.0417766356420781,1.0219498870118997,1.083677596846505,1.2018667121722832,1.2801708129955096,1.1115903952692003,1.4112668141176201,1.5353001760194502,1.7412704478708008,1.2436914367342398,1.101806781822946,1.3076038141889559,1.1489979372356378,2.0399457224583175,1.7722481247241793,1.0413146769759067,1.420185317927695,1.2835458264127424,1.2471464232426446,1.1034004226271878,1.3862864764059029,1.231809218917202,1.4091049258851012,1.430511963863202,1.2709168908090926,1.3220801408849732,1.3009911412489552,1.3008077253923245,1.4799011577704533,1.3180138097805176,1.5301234162913184,1.396788265312282,1.5090140966746826,1.7459333446936462,1.5612708153480477,1.6233617232870372,1.3635367596089427,1.8707486740005363,1.2671518096934908,1.2645903859485685,1.1975992650861742,1.1669967574172613,1.0622498610038367,1.7127062688368002,1.9721878409495046,1.1787514960460257,1.0874454709741628,1.1401083773046787,1.137257498936167,1.1050245054394081,1.1651836186755242,1.208096422256815,1.2303067110960144,1.3702452874422086,1.2875650176531546,1.2499667067343752,1.199810866385302,1.2792276664759616,1.2410357625339092,1.138475159957014,1.0944865299173114,1.2564334327066256,1.074303163002605,1.0993824341561445,1.0279444147932455,1.0299005240333117,0.9973098206070012,0.9165442400078374,1.075332935745908,0.866888062395222,0.8874134752237918,1.0503571494228543,0.8270855932912189,0.8183037274119529,0.8379044965746876,0.8805230314575461,1.0052492957306585,1.018637991158291,1.109351622825383,1.2068085362003167,1.2926290003641574,1.2022122857887063,1.2509141747918011,1.1665162629864476,1.1373554660299492,1.0205691836846413,0.9200361846424497,0.8500581122254474,0.7996158643135735,0.8202809563766024,0.8075014677151365,0.832577812885394,0.7992217156108844,0.8521866716860301,0.8120902548374889,0.8734319551185847,0.8168288275992905,0.8598883273157594,0.9589969520493151,0.9311208683923486,1.0972081488492622,1.0464931794453087,1.4160095458491837,1.3357728234727198,1.2063683024249516,1.07858155500622,1.0506554676067315,1.01835117181485,0.985057984930389,0.9634565991602642,0.8598994437744883,0.8752804100393436,0.9046377908999894,0.9287673022900984,1.2968499449608786,1.750851149601106,1.3727867627421024,1.086140291249996,0.992229866580136,0.9917318392751968,0.9706623758246057,0.9512569795659045,0.8843580451522174,0.9587299335079718,0.951738508377768,0.958928603105843,1.039398542838792,1.041108003961289,1.0187464018876653,1.5012733229256523,1.3083057143765864,1.342617703904707,0.9366006106805959,0.9248564410941242,0.8958433912238823,0.882505106200486,0.8958835163659271,0.8983639787458535,0.9717028401813561,1.129232154276888,0.9547907307155415,1.0101971309750242,1.0267081781580998,0.8600389400092302,0.8419740455499021,0.8439160242421406,0.8563616748336131,0.9475504288539984,1.0117417784618719,1.260921393389221,1.625539847731197,1.492709044928332,1.3067169073606217,1.2074819412738997,1.0322831809758917,0.976064494858452,0.8618867746919537,0.8729472365636405,0.9189831276368787,0.8061850678943662,0.8394192024106218,0.8881860078561631,0.9449971548336537,0.986003677318861,0.8570597443380418,0.9103089007570131,1.0650060694108265,1.0108404017342791,0.9218200790411237,1.0604659319705099,1.2450431928332015,1.0441495694017722,1.115205990933249,1.2940136893345755,1.2488484843945988,1.1743221008381777,1.3125044105296575,1.2100382480709555,1.592101466762656,1.2553292374214238,1.2146240769222956,1.4084241734142136,1.4441309985424946,2.3655541450062496,1.841089150196147,1.9965095523703813,1.3764224851987954,1.3894137644699525,1.3706895566512065,1.3662422830440843,1.3620746568198372,1.1526297894032522,1.321589448058595,1.180739770830258,1.2714292144889534,1.0824381176252942,1.1746756191938983,1.1233142450254048,1.062451788765061,1.0933588584954548,0.9008169231691522,0.9106074055257335,1.0883226454023531,1.2080800625571502,1.3049560604937023,1.5757403426154757,1.3989751877768406,1.286553234929536,1.5014667777992308,1.6074190265956454,1.3780551459372221,1.3148519876178477,1.6012607869897197,1.6217100420445465,1.3590240655273833,1.617201909369457,1.8592884460177483,1.6694407557282078,1.5661650309173487,1.7439476617960634,1.5580106678420358,1.5741542340872217,1.4238354022978186,1.4416883862603256,1.4856339537053518,1.2545911167694344,1.2393807610125247,1.267170157765856,1.222194902799651,1.0586446682615633,1.1695064010239944,1.2241055852823424,1.0704580125572547,1.0038468833244494,1.133660480808049,1.2311752854679547,1.143400665352582,1.092097487116723,1.2479891198340265,1.3393272942698655,1.527371386991715,1.1556866040506257,1.0188039592878886,0.9760930875576983,1.1384283367890315,1.123293791612702,1.1793788698603063,1.131284815853486,0.998081317163531,0.8754421624404436,0.829187542417956,0.7813115103598678,0.8081043220218477,0.9287201642688714,1.2266720731995322,1.6534067662417944,0.9011760575744246,1.0683443446932377,1.311115655442304,1.144740037249745,0.9106851037957201,1.1870746779597872,1.299016427037654,2.2541022948324487,2.959101729850156,3.916906741605369],[2.0439269572761942,1.9408749903878024,1.8417573901377413,1.6166286261199272,1.6240972599089862,1.6909969516746752,1.4573657699460907,1.5683200581631105,1.3478210806912185,1.1280114110993082,1.0617749239090863,1.1836647616936007,1.086363530762997,0.9325943752520898,0.9608762151385394,0.9980000336673386,0.9607568804384948,0.8691450511942151,0.8193629771087886,0.866649102788449,0.8989706792112339,0.9049776660415967,1.0076977686923398,1.1299020391594847,0.8830084226999239,0.8477414737076352,0.8574278888914441,0.9134665198779756,0.9423765919131152,1.0573074646408134,0.97616999283557,1.1606357051236609,1.2081961018064185,1.0661841781786208,1.06912976200054,0.9705760371920991,1.121399906624652,0.9888069446373224,0.9882007886436435,1.0492436118678463,0.9413729762222909,0.8680145447202395,0.8397512271988975,1.0967264735943567,1.2104148270435047,1.6059752880022369,1.7233949679835832,1.1900806050442596,1.4055141372713993,1.4320825569538433,1.3943069645505253,2.851277470073394,2.465648823818273,1.5147575921368972,1.3144566660194388,1.6119613517674694,1.447012198553732,1.4382421418976281,1.6296258886264583,1.114283753149332,1.0094563275864972,0.997275452056081,0.9980833537244339,1.1493842825752458,0.9051897558148867,0.9160416933712124,1.038986764709176,0.9111771954051558,1.049086712235514,0.9369882101657199,1.0542038103008955,1.3117978666224626,1.0515974650001596,1.104185930098012,0.9645931533799501,1.6589184580791068,0.9355960433671004,0.9924177332343341,0.9575764180597494,1.023890390494876,1.1105624376810923,2.061727850767151,2.488063176039308,1.2718850221619844,1.1009628799553535,1.1027521607332758,0.9815434565581485,1.1413650632932404,0.9441869357744767,1.0157305735197906,0.9752215400436691,1.1330361248371783,1.0151250072652103,1.031429174237424,1.023098524616577,1.0076851518817587,1.0520789446207108,1.1726690462973413,1.2544242354177997,1.5156038388221613,1.362954192983986,1.52644969609969,1.3834410893942648,1.5232551196489708,1.5244803551928603,1.6277150621749,1.8895291300424388,1.6933871968761134,1.7244518674471936,1.9146828763246986,1.6944814097060308,1.4667767992272283,1.4161804801739115,1.2927422457395221,1.0946538773261145,1.0409474638836724,0.9394656550830578,0.8662345220930945,0.873019094881498,0.9117898605363032,0.8321162864824213,0.8855059927622102,0.9225536044608282,1.0319481780512598,1.1995602032488044,1.3072182006437991,1.4747318025111678,1.4491409077002553,1.5506361263600683,1.5826654812792116,1.6143406441796122,1.6470532240028568,1.5485491109239615,1.539827312675933,1.488631915057674,1.4997595372347663,1.5563375037643383,1.2674812932053108,1.0775259635791716,1.0631503898544417,1.0019728929656733,0.9861174555903536,0.8927508234671268,0.9855656014700579,0.9879902401914012,1.0426931678910918,1.0650598841596641,1.181343999260996,1.330625306851765,1.3875705814476427,1.5313894582732757,1.5316517753707795,1.7856041724799856,2.1981670608255,1.6981540585134924,1.5537699490023662,1.3965339515336435,1.501473922226587,1.3162453196032076,1.442935708109434,1.270091336604174,1.147849029816008,1.118641817050216,1.091294957485932,1.055020319215595,1.194499099695374,1.300245172073581,1.5715500189138962,1.59969447235717,1.524955205561771,1.3779324176936305,1.2824906808412595,1.2204714766535933,1.3236932689454552,1.2855488347347197,1.366955714209941,1.2798683123588197,1.4591037604703205,1.2813537942463582,1.359103968560005,1.577920759194057,1.4263820134952292,1.4215983903302734,1.4149868195879662,1.3587243980649542,1.259167973470714,1.110174857301998,1.2549432291601796,1.9941530812142179,1.3370197488193423,1.6920568833762204,2.0387334992231443,1.6296496166824124,1.6167437517239125,1.5868617183562348,1.6529494156532865,1.7017433621296436,1.726115014374516,1.798596890812256,1.8015492736656216,1.9158577626471633,1.9705947812893225,1.8407115173377062,1.9178068407234474,2.0842833815507036,2.0471222918637038,1.9326177121965062,2.0728438846117783,2.2462144456273565,2.0999210080734296,2.1140125090680084,2.2600021571715865,2.265789957935495,2.1744977841135675,2.2295203717746204,2.1412454952632967,2.430857099971897,2.133222699434139,2.1381683754491108,2.30585209288528,2.3046536846935757,2.932402269274219,2.47121273694134,2.6039987295875635,2.2196245581996608,2.2538926563810433,2.2922196388506926,2.2937523879795965,2.242338118860112,2.1414303087819593,2.320461428771474,2.1484725463231444,2.1322727114618845,2.0522915585513877,2.0643011310500916,1.9183818579190792,1.8929127161980959,1.7098669814862795,1.867532330056704,1.8614855601152052,2.0617450116628016,2.203334771346726,2.2235616291038234,2.342490485060149,2.1968007469327167,2.202334978470037,2.382667460835535,2.45305230159551,2.2666222771676376,2.2819948742036438,2.493355835216577,2.5220517543575447,2.330189927429465,2.5057225536201453,2.6942953821974602,2.584699204355017,2.465965273637857,2.5593540119359823,2.4418956952693947,2.4400871672315074,2.341460247472049,2.349912959122051,2.390659311516557,2.2309684345033856,2.2037681107200444,2.2140310230697478,2.1728338703531596,2.057916976951115,2.1136100383829346,2.137446462893569,2.0017998049941497,1.9204969796591858,2.0786316573412473,1.9957539040952124,1.9755231954092813,1.912682520823491,1.9159898425219721,1.959672121196967,2.237258159288218,1.9030099314458422,1.9389227374559055,1.9102439457649614,1.8583004015649172,1.8143701199814135,1.8166880786359902,1.8047391688865382,1.8707404892406705,1.7198430117476255,1.7536089206365044,1.6279869234345805,1.7096815734550137,1.9303739293013433,2.249477344132775,2.6077032825384165,1.9428177378563927,2.1177459521615787,2.3609990029872057,2.1800086260608875,1.979208357864894,2.182001583626162,2.341386060752874,3.5767199553752245,3.9992922227138408,4.7487307989536145],[1.3857424161874408,1.3142498713188266,1.2742488647580734,1.2242607309749116,1.2386474090951878,1.2763523974387938,1.1726739960190355,1.2163967652440733,1.1380987972772059,1.1092548673355749,1.1095603598748733,1.1436088512422111,1.116770278608517,1.1009735309058786,1.1670001056101464,1.1473270716548785,1.164503524135624,1.1688041890674945,1.2046854222917545,1.1973924751436424,1.3086534574192439,1.276015562091215,1.3825678310932858,1.532095570455363,1.1549716341706542,1.1760824022395053,1.1457926161452945,1.1675432509064674,1.1529829785087828,1.1665179731238828,1.2175778612207044,1.2304060064491784,1.3212234330491093,1.2732000351863522,1.2144464205159518,1.1784263037631442,1.1789119398246566,1.1539987160774707,1.1453623463091505,1.1709209141096222,1.1396519353888062,1.1564820319526794,1.1085137795494016,1.3736311524049274,1.4810741941305585,1.7978739519873645,1.897081750742134,1.4535218642363736,1.5847444396442496,1.577130017703751,1.5688795125350805,3.048434572888124,2.6406286781588872,1.6925021474024176,1.2828737608996217,1.7569679830849083,1.695785505192339,1.653508259426059,1.7869109873380289,1.3657340427949582,1.3144997728843058,1.2869259296435176,1.3431251072354904,1.577469569524996,1.286213879132991,1.2396593596957781,1.4138498089892184,1.2818815117439704,1.4187787371806035,1.3203412535441743,1.47915636108502,1.6986553723774072,1.4318492475921256,1.4717883239065104,1.3393676070032765,1.936104536422467,1.297583036650443,1.325818506333385,1.2347840004538193,1.2588694556919127,1.2647885601050906,2.1599818788235456,2.5317002419544337,1.2674267136998167,1.1030937111384507,1.1257205453099373,1.1366442916637345,1.2308491528394494,1.1862973299153878,1.2468997971137916,1.2847723090248628,1.4629235769235764,1.3472955947460121,1.285999680766623,1.2475509920582744,1.2636618157965587,1.2716245245748747,1.2523589905743544,1.2233774673161297,1.3582652677313234,1.2674271698560529,1.2625862697082133,1.2235580402563657,1.2328852129498293,1.2447427014869212,1.2915043582322852,1.46294033938653,1.2692750487472173,1.2728763992436818,1.4469085520842624,1.2658618422987524,1.177562882653751,1.1760804885333302,1.1709667694803039,1.139244220671567,1.1561818898448193,1.1602617140076126,1.1280777076898558,1.266726152130696,1.2509954858741903,1.1854658601910093,1.1495250408201632,1.1647327166583215,1.1472729688114536,1.1602736646506837,1.2032761480002847,1.1679173141516073,1.1850489349886901,1.2106396360053708,1.264303600821981,1.273106986558457,1.2555679552907557,1.2605549036277983,1.2591187272075306,1.2766596640446775,1.3463892545090677,1.3811398042125167,1.1885860931261982,1.0970000073979294,1.1169381888650882,1.1112989653525267,1.1885935187248944,1.1447586488495394,1.1461370758756375,1.1492107195130463,1.1688859652979866,1.1429490719214803,1.1575023459561888,1.1702822482952606,1.1835302238882282,1.1815285902112265,1.1853872361594189,1.4443392868168243,1.872477057264623,1.425825685126483,1.284503735771985,1.2039294676315269,1.2184618157516156,1.1742736825297315,1.2122326873867262,1.1327789738226552,1.1380085559118345,1.154875027249722,1.112882993887545,1.0434022626891044,1.244642557269278,1.2502720709231772,1.5735016325450975,1.5401552948577542,1.5067604691019951,1.2857654669770655,1.2396770457084374,1.1356070895863484,1.226874428509156,1.1810342113474754,1.209131503115775,1.1893831513594901,1.3456663973174638,1.1904161232001655,1.2093605280986692,1.4702904161254506,1.1958627633900598,1.1933971999079886,1.2211252995736113,1.235718544008702,1.2338152137814724,1.1722130628232008,1.2757589013467001,1.9971029108386835,1.3569639874457071,1.5924361997812049,1.9354316502911917,1.4864326305876936,1.4294306179435001,1.3215027459516413,1.3394841354401266,1.3895139245301034,1.2894232494198843,1.3109639366976367,1.2949987902546714,1.3121080960199394,1.3354662347529433,1.2645958985045893,1.320143252599584,1.3955909640873225,1.3732023561435003,1.3593298428718636,1.3997029815564939,1.486084523900151,1.401356319259899,1.4403137095884448,1.5026593985021652,1.4841485691058105,1.4994367696811948,1.53296569804279,1.510877041891327,1.7360883266343576,1.5205924351328808,1.4717466437804356,1.5805949277668365,1.6240000873706681,2.4967494036658167,1.96667579158589,1.9876622042161831,1.4900222172707904,1.530878287779675,1.5986967140000572,1.6004027972119466,1.5575443990538942,1.458306911677093,1.6552314699522608,1.5044739542450727,1.5763881993026028,1.4823748675597905,1.5632016250821688,1.4537499571906454,1.4272467431751332,1.3452273620990203,1.3421167343384381,1.313952594177988,1.474096345468534,1.524898405606807,1.5551955374368103,1.7073439150134622,1.5759576799618604,1.5543635711992907,1.6793134886080912,1.7961134538394212,1.6136579187661297,1.5577002835345442,1.7295262373144795,1.761072281466238,1.5652031367525836,1.7034330506282023,1.8716477110382566,1.740758123733265,1.6482773631496288,1.743231900055152,1.6371707422573163,1.6527178932279003,1.579968039324191,1.5782004571537287,1.6046117839577494,1.4780174417063383,1.468909076718355,1.476198352456707,1.456953049869845,1.3899349983983937,1.4396004254080261,1.4846332626700225,1.4203448166590598,1.3702303821507449,1.4784266586699353,1.5391071060383097,1.4968763146385795,1.4724608257029712,1.5563174497839716,1.6528079230887853,1.7935922811014358,1.5044233260613418,1.4156921431307818,1.3942334667610212,1.5160563536866452,1.4791340825665498,1.5181775377070408,1.4680412608765976,1.4071962848883375,1.2779272423767538,1.2933622690183197,1.2397952337789566,1.1931667790312663,1.3640332353412938,1.6303237712968328,2.065884108566064,1.3792625710337785,1.4631661193390393,1.6759404520554342,1.6454827167310337,1.3645435197428766,1.4684083288978902,1.5535039660395327,2.79591127396272,3.335176321233261,4.2404103093073084],[1.40764193663317,1.3331873932631235,1.3651223126806962,1.2153349952297996,1.184331019043606,1.1833578346360158,1.0897578729313846,1.1059614003279614,0.9745410670424558,0.89827904964487,0.8710943822382783,0.9633357315044088,0.905588380402933,0.8367133321978445,0.8741611455391145,0.8753151483718418,0.8871905763514784,0.84433542067053,0.8976753317589624,0.8617821868687542,0.8853048832469351,0.8824009905677013,1.0436405870006304,1.0979189406984844,1.1197925228576804,1.00232527773006,0.8743037334764555,0.8688177757838138,0.875149890557518,0.9136064911350712,0.8791806764504109,0.9697919586074103,1.097909345717946,1.0123644184661302,0.9453747630145887,0.8729421836659027,0.9472200105303241,0.9117074163691679,0.8811449392095423,0.9239393839628594,0.9019892658702041,0.883119225551597,0.9337301091027197,0.9637191905645478,1.176001648831,1.462282664134276,1.6484540212693533,1.0891023950017498,1.0876335698186501,1.2330361302212172,1.1369920575608312,2.359848621651596,2.0126345975918802,1.15205692637443,1.274842809036478,1.3707015721726752,1.2112363565033255,1.1464755474422839,1.4140340706359174,0.9920878389679574,1.017790488364101,1.0632592616653858,0.9534878054168947,1.1035524134852763,0.9124191935923,0.9123452099857873,1.0418160124829203,0.8831444667964079,1.081341528256106,0.93075319314399,1.0964760552168795,1.3913889809522122,1.0624386355986493,1.1076837873903203,0.9356624706072332,1.7044447771829982,0.9169285634488687,0.9525062409208668,0.9008716238314073,0.9165650695002222,0.9809488644125226,1.8836751456087633,2.2330693917457465,1.1716459008493882,1.0399160094778874,1.0150801352418404,0.9264427796725807,0.9645188818541736,0.8744587646689056,0.9391182588374914,0.9151914532261433,1.0857287473502335,0.9818272862965344,1.0021044688227674,0.9362666676166005,0.9677635353786744,0.9786809405423487,1.0215776301106259,1.0279193792615626,1.280974664895137,1.0984818947614807,1.2204831988717249,1.1006734459362437,1.1965290531619002,1.1830634859674043,1.180644932593593,1.348379461222703,1.214263975765963,1.2739180620074806,1.2968129015918306,1.1702238935314986,1.0977669707850568,1.072323343216528,1.0325331943307634,0.9476001235210622,0.933819812750778,0.873639558718497,0.9397732529217826,0.9125137813499382,0.8735780057504534,0.8688654644768744,0.8759273346855047,0.9427804394378541,0.9584643833509099,1.01264222209916,1.0352907867485488,1.1275271047989526,1.0992165590009295,1.154467030733997,1.1275959541740415,1.1822572704220486,1.2087475595041677,1.1561827389651533,1.133394710939116,1.117894851686116,1.1321456342451164,1.2778278115217645,1.1046384475650148,1.1271835206558385,1.0363189954099412,1.244999954321064,1.1453047560080059,0.957466407276156,0.9271478378701633,0.9180917715411057,0.8982433173075556,0.9020989531206957,0.9418615168301151,1.0001342737171415,1.0364491988852038,1.139108250701074,1.103128545832952,1.404740396739674,1.761263108179298,1.358137938905915,1.1614867308478267,1.0605304466902137,1.132281036714646,1.0157050950614788,1.124916384725584,1.0013196156960766,0.9309344460044239,0.9498593329203898,0.945744727908885,1.0785948475229954,1.098243657207691,1.1497270051081299,1.5339794800518587,1.4354164194005863,1.421293505662409,1.1339046420810213,1.0771235624394748,1.039522477146085,0.9997034257953232,0.9875083107619282,1.0484740360598053,1.0086623716969416,1.2333316252406163,1.0041195052985092,1.1179389315101618,1.1088402098688268,1.0718105226648633,1.0862267215444472,1.0953683964578003,1.057804522116498,1.0586018092674,0.9893461233440173,1.266951406097295,1.7235189986874089,1.551546887287097,1.4822496801665206,1.3021642370779698,1.2566127365833668,1.2492247994702437,1.204853966707536,1.2458252463013817,1.301123889649737,1.2506658162901765,1.306218238963052,1.296810612079367,1.375909472421365,1.3679035458202964,1.2834826005764324,1.3553416905844162,1.418766994045384,1.3795326835569108,1.3877288639305034,1.4594238251671248,1.5200240650075179,1.4209109871532442,1.5131762410061032,1.5875492762146466,1.5333662039614635,1.509430462396537,1.629009080499127,1.646051446951609,1.8116870716988034,1.6689191423734773,1.5600748336983319,1.6795418172218581,1.7365926826630105,2.525641475348811,2.1828789404240436,2.327711681749057,1.711543344399607,1.678402005041105,1.6267891347956207,1.6019820922685344,1.6540302661736501,1.5063384235762745,1.5422458725313037,1.5547279738646032,1.6773057652845433,1.4823310720983205,1.5615911698286553,1.5922011044407622,1.5038630055163644,1.513627889794517,1.3667277752591276,1.3080042555851072,1.4347287379450115,1.5012171964123462,1.5580385358129911,1.8080052606543018,1.6246008744882006,1.5526574213789122,1.7102244744697779,1.8295478995254715,1.611037746506188,1.536741296709518,1.73492481936005,1.7335628013256486,1.570290550716986,1.7457269988356487,1.9087787143686734,1.742712785324844,1.7119180600556414,1.8427888440073392,1.7139771822759784,1.7356351394724465,1.6492171117254582,1.6768444202045396,1.6845600530158396,1.5499805186478404,1.5453671059783602,1.5767396229284851,1.5698948657484681,1.4716332671021113,1.5504081276889679,1.6044962998564258,1.5364066878850837,1.481947205630895,1.5534772447072036,1.7787634405806774,1.6521490635002514,1.6440425672296828,1.8328426517158438,1.8743392809434487,1.9529051516441314,1.7507252236396869,1.5662809376837024,1.4994082887060343,1.6980805282008664,1.6708738540737784,1.7241890769549422,1.6216827852250073,1.500521818032952,1.356125672293041,1.285418746740451,1.2137706367617964,1.2901067616413588,1.276242893069208,1.465556958207055,1.855198647228377,1.2334999790804566,1.3541599256996648,1.4665297813880545,1.3898621030941127,1.2730425936932932,1.4548931054324217,1.5343375301039766,2.2238096139432413,2.8834460724089035,3.98148446316594],[1.0019683637549557,0.9245871679704483,0.93985147978522,0.8402375099341302,0.8191962512845224,0.8877698029553335,0.7799775913758018,0.8527311895718,0.7460127943517704,0.7188368108647598,0.7592396476856382,0.8156561673950908,0.7633028482953029,0.7240867848542509,0.8216457155364302,0.8030251317327106,0.7792032967473038,0.8444065272692913,0.8586256877075257,0.8428038923076951,0.9336835589302608,0.8865598162122266,1.060136620357303,1.063026526881495,0.9069756169599748,0.8579756182188839,0.7841149132704479,0.7654125996449335,0.798087419869195,0.8268444307692747,0.8873238080836804,0.9144015773692085,1.0573080879498595,1.0183494949532883,0.913518616991107,0.860899506609939,0.8626664900168864,0.8219891194336251,0.7916937900066322,0.8458110648708059,0.7513109679896001,0.7853803852148484,0.7891290023640107,0.9477364612825364,1.1041687983218582,1.4321038988166004,1.5483675648253394,1.066491131535694,1.1298312946163431,1.184767225589657,1.161360102133921,2.717237990076555,2.1859579140799728,1.3108563309639885,1.0322917391332715,1.431934746747073,1.3403703588271203,1.257841661321251,1.4737452125747366,0.9890792209998941,1.0599802719321618,1.034338158411436,1.0287006612764475,1.2708722711463134,0.9625036616784308,0.9097426290993915,1.0915343089592082,0.9605227922718444,1.0961118731032335,0.9787457008510937,1.1956939468889356,1.521988126320586,1.1390558820264505,1.1607857213398842,0.9984312135943638,1.7096224335446446,0.9760316134698221,1.0106559167058995,0.9183252723547481,0.937818651335075,0.953474464412195,1.89517225839434,2.3115054176571386,1.1130886020344621,0.8294548462795782,0.8565070963695902,0.8127667553342134,0.9318163710968457,0.8688649013678627,0.9618765411457514,0.9610298657592078,1.1708874125300996,1.0452580470403614,1.0288530886217322,0.9421221306411648,0.9905542445978847,0.9832405377151624,0.966031793594994,0.9348682729994121,1.1524790776587446,1.005428924859917,1.008736912832965,0.9352739842144683,0.9723592280221236,0.9733368639894223,0.960050615258635,1.1609961157693323,0.9088879083212259,0.914735483098931,1.0570832999461959,0.885271848428604,0.7850861626215352,0.7771821932487721,0.7772083392932806,0.7429688608016849,0.7413293819515954,0.7321056379219832,0.734977332352972,0.8657898001904571,0.8661757914489285,0.7981053724706579,0.741033933311716,0.7443715399526674,0.7529434797601573,0.7602871229633044,0.7907786748309797,0.7665583506704765,0.7689600483804185,0.8278972842139415,0.873593783358089,0.8690920918601727,0.8901878565285124,0.8587682017601991,0.9059627644577418,0.877528695345595,0.9241729510173313,1.0460622960893442,0.8117987106705076,0.7990755570933886,0.7584788754642592,0.8686350460670411,0.8928763205329017,0.8093658664508844,0.7612633101316999,0.7428680969885263,0.7636074041266528,0.7282189792762985,0.7702727929007757,0.783471453212155,0.7985525812366701,0.8528219292679605,0.8680343830868883,1.2440120983832776,1.637825250452974,1.18109548865765,1.018438803006712,0.9057898879253223,0.9294182908522938,0.8477311889830165,0.9051492543105322,0.7418712709724633,0.7449641415578119,0.7394315750566199,0.7326814908400684,0.6998331769256899,0.91397588573299,0.8787322371872869,1.2770085091736063,1.2202248150075155,1.221963627166331,0.8951485777563496,0.8505831775253408,0.7490831214038751,0.8362445580814343,0.8062507083384928,0.8760077967740743,0.8713348453987045,1.1517805730396893,0.8599675140874691,0.9545390198886958,1.05825546133066,0.8359497995968703,0.83289071487468,0.8524476112341461,0.8628055927761209,0.8600912813085547,0.7763639703253473,0.9246967237761423,1.592485933224451,1.1257071195172266,1.259568699763114,1.4617187169868873,1.0708451260265348,1.0213019288483662,0.9154088888319758,0.9251962475398641,0.9874935109707681,0.906252713582578,0.9215052712688322,0.9402068292462188,0.993105984014763,1.0106355435021512,0.9054156595694837,0.9652478036970151,1.0594607126735183,1.0190652075733813,1.0014737692167275,1.036201548373477,1.1405536866859132,1.0209631573307136,1.094575513342479,1.1547137444662445,1.1186743556934369,1.1595630628641447,1.2072600118500463,1.22140162764141,1.4154170752504374,1.2209826217924906,1.133649846697937,1.2650881991867198,1.2980006574762697,2.3450254057948254,1.7298125926986376,1.9093920039600152,1.264343797724665,1.314531489616662,1.3196359540027152,1.3380503841471574,1.2823429401226663,1.120752680534894,1.3002100171238378,1.1644992241096193,1.2565642029237338,1.1173560506519256,1.2756018869955672,1.120334694333231,1.1157633087569374,1.120556110072948,0.9787823909351979,0.9695589715088873,1.1336739925527302,1.2228108240798656,1.2991040960296516,1.555753737101978,1.356145017783542,1.2786606171464487,1.4163387149455564,1.5739109932642947,1.356567270521505,1.24536833361375,1.4605685695641917,1.4723414108232933,1.2447193784397368,1.4204713298555882,1.6054374770408535,1.4051831441516704,1.3354077711428265,1.4492789802342296,1.325477056121781,1.3705159213860367,1.288960754956306,1.3002980033588287,1.3009963697253604,1.146122602404599,1.1660869545975283,1.1530092675602674,1.1300223841966308,1.0434314710172887,1.1210752953566958,1.1531947319328724,1.0966398923624838,1.0546423573452464,1.1084053711160733,1.3033670836669842,1.2128159819780255,1.1957387724086688,1.315108956086594,1.4101316863670708,1.530213779459007,1.2645279928739992,1.116674274073523,1.0992487980135344,1.2708102392488585,1.2491267647026132,1.2766709867836394,1.2119929194359607,1.0969320572460206,0.9550394001979113,0.9094529956679182,0.8484608504194363,0.8517792991452385,0.994172882011531,1.2948798299562867,1.741514336049966,0.9639872393987287,1.1082838906396355,1.312739930781199,1.1988371637751485,0.9808050927933483,1.1595531134577106,1.3094554077367215,2.384260497010268,3.06050913736427,4.092093221279946],[0.8342308945480282,0.7055822653626338,0.7690775474256887,0.6377327514399337,0.6168049607507672,0.6720356913640037,0.5887023002211582,0.6549254725527149,0.5776834471852037,0.6301953361628699,0.7002335534447525,0.7359790813169471,0.6902470210931465,0.69389436384823,0.8009912954850006,0.7861123990553267,0.7715691470729277,0.8455996752385434,0.8923238088239219,0.8597641177167488,0.9373469508037205,0.8972098978873287,1.0572848207803844,1.0988229346889526,0.9894505804888825,0.9221148194828959,0.7944383765700023,0.7615652406348254,0.7775171276385521,0.7849470911831848,0.8855931681550974,0.8721157024643846,1.0174653792875308,1.0119009348086268,0.8989179989417093,0.8495930886816452,0.8181324076705938,0.7965858173012761,0.7424901077806122,0.7965612293171193,0.7368958775735338,0.8229383082324087,0.8845824650494256,0.8939228993335512,1.0560537171677826,1.3205205314776522,1.4341469098532635,1.0032035671310653,0.9668261233320091,1.0221029048117665,0.991866848066166,2.5235742919249167,2.0400161293660877,1.1901364525914204,1.0514322028485719,1.3602773424579333,1.3268915042310483,1.2291938394932083,1.4073843939679536,0.9751982161409678,1.1006785212805372,1.0890781650070076,1.0613436524149777,1.3195198899012546,1.0194875973470319,0.960047668085006,1.1112236697849238,0.9842349562179316,1.162088798825417,1.032331157301729,1.256274346421179,1.616756003075138,1.2155192897515648,1.247962045938106,1.0408890456542752,1.7813531229002637,1.0156855452399987,1.0239872532538623,0.9221817591164223,0.921234642359441,0.90877783190746,1.689542725851047,2.187271216520829,1.1418458571651013,0.8320661360886462,0.8357817965251622,0.8107999637560822,0.8932490521768004,0.8746715799864129,0.9694339534669674,0.9868581539389641,1.2103224810254416,1.0705861693253702,1.0310294172830028,0.9308716800379319,0.994545778481391,0.9765837822808346,0.9212404086292019,0.8786319870240507,1.0635779014782736,0.9213224936165628,0.917535029000066,0.8263160624148298,0.8804804323413724,0.8683103266577765,0.8205371827575177,1.0562538110230277,0.7615977666501378,0.7560972951282839,0.9576305517654949,0.7065641626548302,0.6238182843228485,0.6113380880190528,0.6354075625049014,0.6783779433614212,0.6858352020451032,0.7092572001906929,0.7438246697161557,0.939684104452722,0.8879280520579667,0.815832773111567,0.7481852837354117,0.7462883967106554,0.6859358690137357,0.6712718277967673,0.6549992926204352,0.6130147905011407,0.6158393719636566,0.644769892716129,0.7014670790244907,0.6903273059542369,0.7532114471766749,0.6844230062152443,0.7743788603964749,0.7129555746943061,0.7349332893634508,0.9086985915418381,0.665910293910029,0.7048384550960023,0.6830071709486399,0.875957366701373,0.8915986385564714,0.812366073924177,0.7016953942239027,0.7070215895172132,0.7162948076114133,0.6608928380044611,0.6795476002243275,0.6540972251878289,0.6616521931730427,0.700358007294062,0.7360912882549194,1.2006978217937054,1.700384338055219,1.1616050019943824,0.9500648624260327,0.8004992679956937,0.8315438449539833,0.7482828255087057,0.802945353392551,0.6383084080389184,0.6878060057703326,0.6452823607495426,0.6657170695070211,0.7345363395279049,0.7456167390995228,0.6989845099242814,1.074157333821421,1.0223254387509417,1.039739316620575,0.7296453130387599,0.6991052488482831,0.6628306187030085,0.7114237449946014,0.7052572150502749,0.7737091340206662,0.7771622019786847,1.0836758515685836,0.783483261308734,0.8855168031232225,0.8751620113717368,0.7071882490464899,0.6982144117144341,0.7147003124414295,0.7352294314098223,0.7375345077077534,0.6731702740517357,0.8696475229594836,1.427272381136656,1.0399647785582151,1.175075133150086,1.376394373960086,0.9221867383142108,0.8421850514933409,0.7192853522553744,0.7279471895110468,0.8261922238560796,0.7151085185347053,0.741810565339216,0.7949495224618707,0.8223722768910059,0.8557541682948162,0.7458438251723088,0.791849523167846,0.8982403378899704,0.8637230684971666,0.8302709519112795,0.8732624586192206,0.9874328957625801,0.8668371311738945,0.9410681595416498,1.0196185468967898,0.9856370490260881,1.0522850097601248,1.0924792943117017,1.1089700589978706,1.3473922443461437,1.1022272131330315,1.0100186801510425,1.1227184339961471,1.1375142802394123,2.292401291821632,1.539471107098436,1.8346642369824022,1.1329994656928213,1.166643040599146,1.1536615338917786,1.1907109716232298,1.1069417637487553,0.9690185752534405,1.1883837116535323,1.023631211204114,1.1289177052308652,0.9773046721123169,1.1777677465187741,0.9462210570311358,0.9468315640696647,0.9879887974139124,0.8117450472649104,0.8264229051135848,0.975055272506823,1.0971038411392582,1.1878737556105043,1.4664260093796597,1.2464531748844077,1.13404343897251,1.2633667574116332,1.4236705579786415,1.2120634576770564,1.1009119168501242,1.3142658369411198,1.3204275979341817,1.0819898780116741,1.2555197447918311,1.4371109271349147,1.2420357098530093,1.1890014227841759,1.3011570829860857,1.1708634174062458,1.2159333982038483,1.13638011948738,1.1512261544892755,1.1525044135758447,0.9948615365408736,1.029907623016459,1.0033438757984805,0.9782810139522643,0.8726856775907121,0.95494839514627,1.001980917096127,0.9425872705263529,0.8876836445863029,0.9602236461134064,1.1366794892625351,1.0524584056991886,1.0377217378194223,1.1632553485585515,1.2783790528107026,1.4292164267050245,1.1250290488371308,0.9525505611179241,0.9334586914851708,1.134178488591124,1.0985293061854091,1.1227643386308455,1.0394226044672101,0.9206694221780258,0.7569728095202657,0.7225300048587587,0.6712600593817357,0.6916862485660831,0.8256782216400952,1.1354047746493827,1.699560655551044,0.7915180530710237,0.9510214622873471,1.1856504061630377,1.065320448706544,0.7944151627957063,1.0953285975753284,1.3698427126288304,2.5496036072235113,3.3140898949199498,4.440417625696925],[0.8021610553277853,0.6599097998063465,0.7494528309771571,0.7027904829208387,0.7189942845052125,0.7337754706476932,0.7171491306309954,0.7271927444874949,0.7382622433156111,0.8165522266225719,0.8875225180295855,0.9235366909931456,0.8951399626658475,0.9052548392603059,1.0001004933771531,0.9905276919333708,0.9908906381339547,1.0537977253445165,1.117282652687827,1.0793999207177551,1.1206560819802982,1.0896158890500969,1.2567841237082404,1.2700172774119538,1.222181394964575,1.1628381693497167,1.03630541171024,0.9948261343580977,0.994457992581699,0.9956808973151624,1.0858745154559208,1.045784192936451,1.173681870775979,1.174371391796754,1.082113764239274,1.051330926184508,1.014639420451459,1.019762413646056,0.971427143556683,1.021801304612657,0.9755150621630958,1.047408563461303,1.1226206072214702,1.1003729061957224,1.1969082143889955,1.380765855719428,1.4658270341980337,1.2084663537182199,1.0881821825671616,1.1344822906489374,1.1298614137649987,2.4821440292223955,1.9823257649083625,1.2240918840380826,1.1718136760055518,1.366306467802499,1.3868419992044605,1.278639042013235,1.4027466254977854,1.1178845401673554,1.3320045362925887,1.2965458950865985,1.2428099307059153,1.4546594006433624,1.2210930899694392,1.1810323261720155,1.3044370309969016,1.177798621575282,1.3447253527993082,1.2191138821129088,1.4208016700291934,1.760893097473695,1.354099780098198,1.3912013028783188,1.2079398733957984,1.8993562546663747,1.1963963870240986,1.1846748209110998,1.0990592498233362,1.085394152883254,1.0455482947968062,1.6606537830587322,2.118957281859557,1.3325238750779438,1.0679064601383117,1.050716358833618,1.0235090266220797,1.0672956880524613,1.0615319713094802,1.1248058743225555,1.1558535918726223,1.358724260543512,1.2152474015871293,1.17983390421239,1.1050260065476818,1.1528054446892217,1.1310769460623196,1.0842635597718027,1.0307987268081304,1.1542482273725043,1.04908145991853,0.9996356914560371,0.9592747371523228,0.9760321992439175,0.9662930146084676,0.8583430224421537,1.0123142245690426,0.7411852233332422,0.7005783079391554,0.8851310497519348,0.6993409949347007,0.7159939714695126,0.7436022031249988,0.812498158428932,0.8842154561479678,0.9084932429822623,0.946096825159655,0.956650754998756,1.14158661374229,1.1054293996851445,1.0249558837324315,0.9859888738394318,0.9440680257252648,0.890263719250027,0.849503933869127,0.8081339539974791,0.7667085527074282,0.7473910287768879,0.6891270381948081,0.7350597687890464,0.7181514638379187,0.7712914456591599,0.7396568586884119,0.8301004941436149,0.7894698394067706,0.8046519804155003,0.9272680887765737,0.8097897575901648,0.8654828228335253,0.886854394146475,1.047458911782369,1.0921654751312986,1.026070822823303,0.9025659229152339,0.9418652775909574,0.9425515706641966,0.8866946036415779,0.8730802336785846,0.8287940008167539,0.8057956951439761,0.766731777591113,0.8185635560017117,1.2094383487805813,1.78786485776249,1.2233387164958636,1.0135914982779608,0.9231147677670335,0.9245475195725037,0.925228297299799,0.9372712476988179,0.8251260189319545,0.8925658187700181,0.8579567744356449,0.9018231269373098,0.9735140494640484,0.9091260106958953,0.8307580880278193,1.0852393829788105,1.0130347680281975,1.0423524391689385,0.8165619985975928,0.8467526381661131,0.8304959473979976,0.8533098878804931,0.8821573591602654,0.9182378705304659,0.9550145898306943,1.1853276766143492,0.9405627604881036,1.0561792527214517,0.9311221542155674,0.8264140265189162,0.8221704531604134,0.8479826009075275,0.8743816332013464,0.9482595812500776,0.9036431881172056,1.0319410466741132,1.4207126718657603,1.1395753044179442,1.3440423035647517,1.4339602292216882,0.9818020311974889,0.8875428322876391,0.7556994786310838,0.7371774628007903,0.8502154630056784,0.7057895611902413,0.6899088482864943,0.757412526516172,0.680825912850116,0.7172842881858009,0.6610072573649081,0.6575343953982101,0.6852123315870157,0.6728858732640587,0.7254168320076709,0.6875141993705836,0.7355566097062274,0.705611492831507,0.7842015622312029,0.8008952262593282,0.7704313131389809,0.9101827033258625,0.9513327696726014,0.9989466516618634,1.1456176057966148,0.9687804591288653,0.8500949803455611,0.8955580368668501,0.8705039541415703,2.200359557865307,1.3325720528496343,1.6802474008519979,0.878918122509037,0.8802924533177406,0.9094566261321266,0.9887194229942076,0.8155947406412701,0.7673883479703634,1.023750949700553,0.8560453538998675,1.0342196435666051,0.8678437240577546,1.1558144361216494,0.8171224692939659,0.8157671759502877,0.9762484888341385,0.7162866419060594,0.7491109512585883,0.8145777595677307,0.9404221759897667,1.0053028655584304,1.2824442087912649,1.0645215098593506,0.9635655171403535,1.0150410111255483,1.2231379733605168,1.0324818357615964,0.8533821788081803,1.0220110587082283,1.038506438141691,0.814649942993652,0.944398312177051,1.1369441545683243,0.9602785395117369,0.9019907475803353,0.9785832361957146,0.8805225607106693,0.9098621119415252,0.8580541454063354,0.8551609072479439,0.8612119889117134,0.7420485417180386,0.7875424569318918,0.7611583917269001,0.7646457289877695,0.6873607299100057,0.7444256332168866,0.8112388529240216,0.8114673167936752,0.725514787672011,0.8264167240415612,1.003651692006919,0.9522201870643148,0.9739159328955063,1.0916704811994649,1.2479459602518046,1.3444507986025105,1.0899434369808485,0.8747624454184261,0.8670248555509054,1.1274769491800745,1.0830903326325008,1.1069318443871479,1.0531754153515829,0.8558338368328183,0.7607586517708353,0.6874632826675074,0.7019564859687645,0.7093654002043948,0.7194133595881511,0.9630693738013448,1.5050259520626974,0.6917797334651311,0.8086542823723132,1.0317932909135028,0.892199098582588,0.7376052210211593,0.9881637292380355,1.3771092910690244,2.566699700072499,3.411607526376635,4.573815362671238],[0.8059423843975915,0.6756617132251586,0.7190056223614516,0.5661190529408258,0.612131825724454,0.65300719527795,0.6108533757882796,0.7543296750400523,0.6656634596191586,0.696628651191515,0.7835743399894356,0.8794358469463016,0.8163872539702788,0.761851791713108,0.9466216296375478,0.9423127225119677,0.8793041081248315,0.955735357437357,0.9656161089080131,0.9783561725067939,1.037856626363093,1.0120615365465715,1.1418907479387432,1.126484967183472,0.9912328853166789,0.9531306208649152,0.8657380325176727,0.8580221933431297,0.9109856643392686,0.9484517623364245,1.0688082093872004,1.0822736291180457,1.2333351259600078,1.231379331667148,1.1241085529206447,1.0358262248822612,1.0320856208875027,0.9532258072440155,0.8989833963691902,0.9629246892444274,0.8577145577468595,0.9487764703225018,0.9906292505908153,0.9874820604595556,1.0838308896623674,1.3176954648704295,1.3844470524557757,1.0346995239328232,1.0353541671505648,1.0542009582329719,1.0865200205148815,2.5625586318996048,2.131324754447854,1.3519029698170109,1.2624746693027733,1.6097013879531132,1.5682850869820741,1.4951152819644555,1.707371747863941,1.2862522725505434,1.1878940796321595,1.2104250345473857,1.2500488602345263,1.4266937465814882,1.1258950452510037,1.0800443873041525,1.2201363204976683,1.114866921540988,1.1953260803189383,1.1140906365727954,1.2784883526084396,1.6544055400784086,1.2900098020235016,1.3146005099221911,1.1527856477189056,1.7963732569742974,1.163803279194165,1.2637605854497191,1.1691087322748661,1.1848628304114353,1.149886588472023,1.7967490081387187,2.319168606248792,1.3304577503001254,1.0071538961438644,1.0265999027725508,0.9959723539574843,1.110904264134713,1.0756500816308814,1.2040169472015063,1.1932457169961792,1.3828255881798215,1.2894347736223855,1.2434136989494753,1.1255543808850654,1.1607719951512083,1.141097953968884,1.1367037604814922,1.070924352545863,1.2501205812715839,1.1323190351657682,1.109084969408171,1.048759712258223,1.0656721910584586,1.0441640790787279,0.9677585196770014,1.1738763592674044,0.8658098256901672,0.8025748214866294,1.0526997956979285,0.7579309502405768,0.7009292940856564,0.6844077947662373,0.699163481723626,0.7378073119718129,0.7310903781742627,0.7740317060272248,0.7620329677156532,0.9559463300866349,0.9162899786960341,0.82847183134591,0.7959324835389917,0.7275219348056019,0.6442618402750968,0.6295635212864846,0.6171083573849172,0.64081120147735,0.6679661089224208,0.6799377460598508,0.8035234312793174,0.7309049495838426,0.8353278564382733,0.7576760948053413,0.9093474571528534,0.7479213280872518,0.7356809710469701,0.8213628707254762,0.6205565633403829,0.6628359915424168,0.6610254977351573,0.8728691353007074,0.8744490339534455,0.8348790620607265,0.7506012423759136,0.7997180205572164,0.8489025831198053,0.765268495729148,0.8099430358102317,0.7843141549567749,0.7747054411413435,0.8315178491210898,0.8898400084998265,1.3348971998186125,1.7686479390691474,1.2892340556403308,1.1428983906683239,0.9651951603190023,0.9905316434687801,0.9226686546214375,0.941262740258691,0.7852073052373321,0.8602504078335504,0.7374662730206957,0.8207678867572591,0.8188071014317844,0.7343288719467232,0.709093047961416,0.9770966338704905,0.9170594750270717,0.958239327467444,0.686822332899245,0.6887617649477507,0.7563597330481308,0.8554951389096175,0.9036586108390584,0.9863331126007969,0.9817654319823815,1.2886053815446712,1.0151649435887584,1.0812665697310062,1.0287295717564777,0.8769314656134106,0.8601761638512598,0.8397435463754095,0.8494497498126604,0.8861541609830803,0.8374100639597698,1.0224709219305552,1.5113686475795083,1.0350303057143764,1.3129866211804373,1.4545574496222822,0.9227573992981332,0.8600379161536713,0.7637937978871538,0.7610365637966691,0.8005337301135447,0.7411742838918944,0.7542068482079093,0.8370002532242897,0.8396602555579571,0.9141805461773057,0.7898848933903095,0.7898822477772965,0.8840192093003985,0.8459390959041093,0.796874508394735,0.8239485535771822,0.9474439447945749,0.8286342766712326,0.9019141625264006,0.980030514108181,0.9315042549835595,1.0710225260357873,1.0872626608514657,1.1042344230096959,1.2693227921742998,1.0757124393228807,0.9859768056206243,1.0870801442578708,1.068697216603372,2.3761117926159345,1.4929054508959658,1.8575806991113015,1.155080590497889,1.2092893439161778,1.2282808248189143,1.306414782315939,1.0915416864129182,1.0176247966012895,1.2480240106657503,1.09453540183788,1.1889562747007876,1.032415993204585,1.2907270029845392,0.9371328155780181,0.9073671805862445,0.9345721446408712,0.8169084794475937,0.93083868485843,1.0327845100353805,1.1942502429570396,1.2909674066118553,1.5358669531608766,1.3488632503552882,1.2191477969544524,1.304653290441943,1.5014091552795834,1.2767899957536764,1.1175528793575589,1.3181144226726937,1.30901613876772,1.0604522749305463,1.2223012397284831,1.3982697918970264,1.1669757724040482,1.128946287995082,1.2289510019237404,1.1369110776352194,1.1914343885100613,1.1468899038318263,1.1638413991387275,1.1304991372521838,0.9666001317836554,1.0520431043969394,0.9933069775981683,0.9630870569091629,0.8613289980689068,0.9447285596576885,0.9956123000536724,0.8947916476473772,0.833637681699478,0.959128722521856,1.0868184220080521,0.9833120915538429,0.9894019667976166,1.0924140450311788,1.2286439919297303,1.340163408340675,1.0956793823919164,0.9352818268828621,0.8999893354628826,1.0990085766757038,1.058357006046813,1.0627932229789994,1.0186677060679585,0.8980822396517757,0.7519849635310655,0.7363816390357216,0.6683422008602293,0.7428932566531028,0.8361099442628687,1.0893020535925113,1.6358248278538339,0.7976408313832931,0.8995385373149528,1.105051644599392,1.0157258524235186,0.7975363435395688,1.080593269470856,1.4393235648510325,2.4856049510108984,3.391387070975882,4.6536939588552775],[0.7571439311072501,0.6697242507033021,0.761379878678877,0.6160442896841329,0.6256670212781061,0.6839926483717222,0.5796499483232233,0.7324537461795916,0.5934951371032182,0.540675511164309,0.5692058490392278,0.6793713258728983,0.603363357860953,0.511440632412368,0.6558341829720955,0.6455500575505346,0.589533110722312,0.5914572708346835,0.5945997485363611,0.6120153945348856,0.6544088722436907,0.6492811899715166,0.7524597352461617,0.815337196537808,0.7163430820485628,0.6189785009260934,0.5349409169353517,0.5523644745239483,0.5948256107805814,0.6578964319182714,0.717379621163791,0.8122768112617559,0.9511332678229627,0.8980543867712739,0.8231410241012758,0.6968415941186311,0.7580028495511671,0.6342052133114111,0.6010292644439703,0.6678778022423196,0.5471243141766797,0.6126804351037863,0.6394526611694846,0.7075748561667714,0.895695816958735,1.2618513399316444,1.360987858570084,0.745934826543874,0.9060266724891819,0.9925620387231675,0.9533965107937852,2.468651195576923,2.0663269938676287,1.16927521595161,1.1143207847092362,1.4780795334818562,1.3264151027837316,1.252401386135477,1.5576523141862495,0.9853330106652194,0.7749553509332832,0.863581595946342,0.8514489801434144,1.0309551583336538,0.70874680718789,0.7093668772992567,0.8619951560185926,0.6989415588671928,0.8482413902449107,0.725809584813857,0.90983177266997,1.2991049242640045,0.9110878289788301,0.9172258300614362,0.7970089070609342,1.546269715237572,0.7876666475439067,0.8707206230450162,0.7878743937480781,0.8377563319828959,0.8549932906120236,1.702804245852504,2.146162970228374,1.103039086138402,0.779541532466678,0.8058673453456333,0.7011223797923831,0.8448780023803277,0.7249985855029214,0.8801828627291596,0.8150333372284942,0.9769556121315782,0.8825475954992053,0.8884738123792725,0.7981488434467878,0.8234994019783258,0.8446546001946883,0.8699270610973677,0.8651231813144478,1.0980548254343652,0.9417363056587776,0.9997405436378637,0.8972311128878329,0.9514624708897836,0.9356020410169611,0.9032489445832179,1.1551920847882744,0.8691871448754283,0.8580410604089983,1.0925090100056754,0.7879203480114985,0.6769107382295452,0.6299054985412071,0.6207922601203302,0.5598715321633561,0.544644725827094,0.5475499812149245,0.5550758166641423,0.645834131457616,0.5744337826796596,0.5534614282285072,0.5410750358624529,0.5577400504846042,0.5068903625422448,0.5384107123218237,0.5814749367163824,0.644167818196407,0.6656759627719467,0.7004031894608318,0.7710331730287646,0.7453976309035378,0.8253459747508753,0.7427742291834055,0.8308040574864528,0.7378823434418582,0.7481065489629839,0.9140916617601939,0.6304630179367762,0.6539854612146051,0.5744540404164832,0.8359729346156144,0.7133078101082011,0.6008056257799227,0.5949181159556052,0.5615415890676848,0.5950119748985,0.5565930907984707,0.6292673005701289,0.6518435752950617,0.6634898952163149,0.7814003683286512,0.7932273892677251,1.256621704940796,1.6664966995164452,1.198472166806191,1.0210819568289307,0.8165233427296185,0.8868062172982943,0.7610824709574965,0.8355581255164294,0.6530978678150618,0.6602909102735968,0.5745754143495856,0.5978480029861967,0.7195644798281078,0.6528492133578486,0.7196994234525594,1.1605957021794249,1.0891973824313919,1.1276676734666666,0.7439254591821415,0.6424057243975071,0.6594673067190837,0.7106036726313687,0.7273754603142113,0.821939842055939,0.7895068208997564,1.0845136667468542,0.8121335400504113,0.9043206133272911,0.9194495920860245,0.7799445921522912,0.7643803562590284,0.7483330933226607,0.7393953066221746,0.6783612350594059,0.638779271339844,0.915069081176761,1.638383052525871,1.0143159683711016,1.2207063656997712,1.3940640966280473,0.9264270681004173,0.8706168698907387,0.781834145096631,0.7857118512752684,0.8214117852791143,0.7637092052508861,0.8045282548314213,0.854218679814908,0.8704232849321307,0.9210107653553605,0.8233180651215898,0.8312006048005226,0.9205830782602596,0.884756231797197,0.8405633492748601,0.8619502680202825,0.9551020919149026,0.8511252289401366,0.9129224671771204,0.9654998955567577,0.9347129927500529,1.0644312796435107,1.0603070883134535,1.1052029543323303,1.2621006716732184,1.1025365350884968,0.9781723586523237,1.0699990808534527,1.0668134260072686,2.206728601958582,1.4481159576917726,1.815911650005592,1.101623208849469,1.1486681590708876,1.1861552717049708,1.2604511125155664,1.0737704139201807,1.0134624136942862,1.2515683192912508,1.0891983236356597,1.1909925746028722,1.0566811466614143,1.2306510975044342,0.9901674316756398,0.99355173276015,0.9545947704828468,0.8544873266253564,0.8888844672689897,1.050351129299722,1.1767921976889304,1.2660461886385392,1.4868664751516236,1.3150722830192565,1.2137669859827935,1.2785821684288796,1.4308667658503866,1.255659426205401,1.1111973478813542,1.307563907855655,1.31480331812674,1.0527235978629363,1.207455999316065,1.3739950779733314,1.1687550116468535,1.0913664738454874,1.182755291685304,1.0828479439270502,1.1418901862457063,1.1112673974330824,1.1142084593382309,1.081277328980442,0.9749672018956893,1.0270690166284253,0.9815829329700572,0.9700148960415957,0.8854075260498326,0.9606043681962956,1.005336733064773,0.9570064140903959,0.9047088739862803,0.973933041349772,1.13461332556444,1.0761080751743504,1.0831298213541942,1.1902567853853414,1.2825328330250003,1.4400077146376127,1.1584532918309234,0.9728143534742122,0.9491243443997772,1.1671275112891322,1.1116842880117173,1.1297018553603446,1.0643681123992879,0.9483775775271771,0.7937396126449119,0.7901635748320802,0.7169690916995146,0.741726875096322,0.8826724464807809,1.1126739384195705,1.7297095981206674,0.8398244737456025,0.9218782692273693,1.1385465246436042,1.1202777462737268,0.7910780752969353,1.0602903025080657,1.3087339124520518,2.4109469597316493,3.229531596701827,4.422725877917515],[0.7738994119026918,0.6085768906587284,0.6957812938157494,0.5505317286234045,0.5521466965066688,0.5859531338317375,0.5016376638583782,0.5664951370775124,0.494051181744446,0.48877506111288277,0.5393351392096417,0.6439188492822838,0.5578987043762472,0.488996931949191,0.609448484655873,0.6028876552268383,0.5768454605225708,0.6022808581080944,0.6312737243062546,0.6278120648905459,0.651359148120421,0.6424731319095637,0.7993715695894571,0.8375408559915242,0.8066566440181683,0.6822928883312945,0.558026483987919,0.5464397305489778,0.5822931877442535,0.6313410997171216,0.6701134804983382,0.7164623797633385,0.8599381810911135,0.8110247373696029,0.7295036491265291,0.6476443954164532,0.6838394067173116,0.6184459664421966,0.5532773033467642,0.6429931188166736,0.5269268840417495,0.5966078509013737,0.673862010030306,0.6892027172735118,0.8531771629213186,1.1856125060391294,1.2980557270257185,0.7973082190906163,0.8176969026854354,0.8921650381358803,0.8543342540913231,2.388173687235853,1.9136122719739734,1.014013503716807,1.0030282174383827,1.254894931731852,1.1589077148886813,1.053587903426261,1.3213821901255125,0.8323032773897788,0.8669835338731524,0.8924564503469964,0.831112101083064,1.0399996887462297,0.7319662845238453,0.7261923150441182,0.8929191577985353,0.721545633605907,0.8986479590120258,0.7572353015483506,0.9616680702410034,1.322468825184751,0.9352268802778424,0.9233706565924045,0.77930299806732,1.5243163436437037,0.757350568573003,0.7797955278088055,0.7028136480136157,0.7262852577964691,0.7088002143007008,1.594503805876389,2.0525872946469885,1.0570719066513792,0.750354699400236,0.749725141293426,0.6440046461453657,0.7389847915766725,0.6586177392961742,0.7901482192849905,0.7529860178976326,0.9411869762989422,0.8095794247829483,0.8050072379611827,0.7265980941635416,0.7749867285588792,0.780172115442307,0.776762801108519,0.7728429949350819,1.0008203194379226,0.8141878906078556,0.8409278225992391,0.7425492323431647,0.8050733219699144,0.8034676251338082,0.7185549960233308,0.942157040935157,0.6417946432151914,0.6291324473560854,0.8496389263692196,0.5934058045968316,0.5247934344531127,0.5222323159710136,0.5335015378129844,0.5283366280169219,0.5182773033682081,0.5121556907013471,0.5157588715257714,0.6627335894231856,0.624997364599615,0.5531409547266415,0.531762911784393,0.5376749363880617,0.4975855425022696,0.5245345323147349,0.5309381081491039,0.5708361142021666,0.5522740872452412,0.5371306664962262,0.5810153958991178,0.5823066877065078,0.6585449626761938,0.5717404442262208,0.6893415693092252,0.5954532531922268,0.5975769768730712,0.7883057049061151,0.5244873653488186,0.5577828075838002,0.5187600242500223,0.7393088320656607,0.6928484413755839,0.6070316861993144,0.5188101314702788,0.5292833687836258,0.5547733908325128,0.5028262545559605,0.5533584618474496,0.5465383432821451,0.564969184112505,0.615844249777678,0.6592055916713774,1.1387579012327196,1.6872223397992885,1.114566231230103,0.868386882613182,0.7135154294491537,0.7537050924902919,0.6665636482649558,0.7494272158918268,0.5429007436007717,0.579306967987743,0.4964792279709095,0.5452317945459135,0.6630093554492953,0.588678980700436,0.5890096097398738,0.9633124685809883,0.8971984626196968,0.9233259835276508,0.6099374778598272,0.5673894695275242,0.5474997780014916,0.590133053036994,0.607772408877222,0.6814666504056949,0.6797438739510087,0.9799308920055787,0.6755209962204158,0.8039204925744107,0.749452937927163,0.6239065296308903,0.614851546891689,0.6312644590128691,0.6297921760246625,0.6265025591332904,0.5354595173090975,0.7677605812979355,1.4042463065895312,0.9494815141146248,1.1738980378081993,1.299402261230817,0.8017475972602816,0.7215602363109899,0.6039799904733938,0.6282064135594637,0.7272312382429525,0.6050584310643417,0.62327322867505,0.6881729089200769,0.6622078040090477,0.7025037817031876,0.6214703983467889,0.6421505756692493,0.6955793860287518,0.6748922069195322,0.7126778274481719,0.705910042918156,0.7723217612476715,0.7212181653259223,0.8083984711749885,0.8480320450640808,0.8113748233136934,0.9479764052988039,0.9895970258704964,1.027454552365389,1.1580613610778598,0.9852673346026866,0.8734764733124576,0.919350562888007,0.9040921515086875,2.230250010891051,1.3759906269821898,1.6961040526115032,0.9060424499881422,0.9100651894304418,0.9171918110319576,0.9755948544314477,0.8597731760312798,0.7877039888767647,1.033592303388402,0.8682976132538909,1.0448957484348018,0.8658892311454612,1.1314490911981676,0.8316410110922337,0.7980800642588474,0.9131869143894581,0.6758865606368645,0.7103663415741894,0.8032070094126559,0.9410691523183145,1.0095086010741101,1.292294094453462,1.0688279095471749,0.962141953729633,1.0432190308804596,1.22514531400593,1.0373158918225343,0.8751923099498049,1.0455671992341036,1.0695011000854318,0.8449430963760942,0.9704205090430341,1.1573043107751968,0.9868452121063253,0.9324570365629862,1.0029958774427117,0.9143652485928984,0.939820908832255,0.8914410919757928,0.8868747620554779,0.8968235884340658,0.7730453976967249,0.8091225643126989,0.7949272225681017,0.7973506127430325,0.7011801750032084,0.7696192082627183,0.8549633660871426,0.8150804654804298,0.7159437590423154,0.8394620109741561,0.981814423307679,0.9301814341581252,0.9555270407882939,1.082388525180546,1.2233001784743809,1.3263239058535958,1.0653613739352938,0.8664830801518606,0.8545867174915095,1.0880803495879592,1.0435310769744952,1.0571124469038267,1.0022718258081766,0.8343702861453852,0.6850275358450917,0.6126172606669874,0.5756527067483047,0.637279086521883,0.6742431130992901,0.9581105695795648,1.5096857476732348,0.6440352839285262,0.7905795881285186,1.018229445989287,0.888510150736245,0.6926524992694852,1.0032185605687847,1.3611696015334724,2.4866386921731456,3.27112681997831,4.4080555506356776],[0.7706475396457856,0.6062611935600487,0.6551988591404517,0.4938429636941526,0.5342550690735414,0.5516449903879577,0.4998645278784923,0.6295126460073138,0.5593339253014791,0.5509361485393833,0.6026601010975173,0.7060731641031237,0.6469575670234504,0.5890037890612386,0.7578726422026021,0.725632862009706,0.6855585950067052,0.7162218370465542,0.7352261607292488,0.7140200703392262,0.7570236000212118,0.7740127461430584,0.8920189067507023,0.8794462998766328,0.840811262908605,0.7440516518383775,0.6438463277048649,0.6422729163518339,0.6864689453212361,0.7277407247259109,0.815078870174585,0.8467454989898329,0.9829435676292009,0.9538605286819757,0.8795185731110722,0.7798896344110734,0.8292486709881205,0.742121519818016,0.6767424947854694,0.7660346670201399,0.6221448261403252,0.6921021033685231,0.7926807596293632,0.7424966880124015,0.8740388979059368,1.1993646508913982,1.2836162659943993,0.7802955142151865,0.9169306770006349,0.9930675597058665,0.9418646456275502,2.4617818043921433,1.9794627350774283,1.1875094947540186,1.1190502340833461,1.4811945313026609,1.3353718142722173,1.2437607251188028,1.5498445177544122,1.0374429265186513,0.8857789315348157,1.0207384287930863,0.9407135223881784,1.063945697704678,0.8189210287692332,0.8511023408432007,0.9646346143674964,0.8171749682525934,0.925981972837636,0.8712527547175732,1.0547651541250078,1.4104323034893516,1.0463514840638242,1.0245976583878635,0.9414554917084433,1.6006175824086053,0.8974922468294302,0.9516563997113525,0.8724499935506798,0.8715377832972419,0.8787389715736028,1.6550171323350082,2.0907106529972928,1.1909338088482662,0.8634010227908697,0.8759386373702058,0.8020616498751971,0.8980913573838212,0.7995696225634348,0.9385905299010895,0.9115485317134822,1.0371231490019202,0.9557099237527314,0.9480980772466611,0.8601679356027664,0.9098270296011122,0.8966181752344355,0.8664459690787812,0.8563503008281423,1.0723305592521477,0.9115233720856152,0.9401509367486116,0.8612863663344491,0.9039601619183586,0.9031559166268415,0.820016578946995,1.0494002393316992,0.7333318771505121,0.6965322628858127,0.9589369432878301,0.6462243834279461,0.6042386135067531,0.5595801565968027,0.5998714016153697,0.5892240783339172,0.605714188748646,0.6396085639806546,0.6143795535179853,0.7317366959945921,0.7111108577956005,0.6617615919554092,0.6479723817205036,0.5906695410267118,0.5496566413858404,0.5097865225333746,0.5024562974502941,0.5495674415873115,0.5630494565833557,0.5821124524940511,0.669636267260973,0.6313587594324672,0.7442675967099749,0.6519509085755276,0.7788016247150543,0.6530542043081478,0.6458355330079999,0.7956375619178541,0.5756356393717139,0.6332829006154891,0.5973953606462902,0.834286326897603,0.7059757166868802,0.6412300053501018,0.612779199485427,0.5985742886772735,0.6284971506458501,0.5918480512680606,0.6512054332548097,0.6336945755482691,0.636266192468249,0.7085006289493547,0.7402672417693891,1.2285977424892065,1.7098393933466132,1.1464732034558682,0.9635896043354515,0.7894358929897434,0.8452310959055841,0.7678393380945929,0.832762079380462,0.6461234189088522,0.6865454194338505,0.5789103971838477,0.6456491449417655,0.7558736561520404,0.6439722856649323,0.6290113420093543,0.970983250800118,0.9077245219825874,0.9743643348345723,0.6370072423796488,0.6070539752617118,0.6349752977656143,0.6908984787367636,0.7171195713203026,0.7975918871628365,0.7894790102283309,1.0698443094838743,0.8105237728622299,0.9164357693281862,0.8615167199250696,0.7494151784476261,0.7484643408758894,0.7376613555115218,0.7105411894988637,0.7286927682163206,0.6593463288345829,0.8701495555515416,1.48813611758463,0.8605844416070927,1.1892476187738747,1.4004135022391666,0.819444204694752,0.7331109093512482,0.6722815604046934,0.6436503533054806,0.6718379272897628,0.6334543309540842,0.6460318874126656,0.7308395603024284,0.6887462018120908,0.7434629728594996,0.6523899032757422,0.6562126347592974,0.741967249741464,0.7111724756752813,0.6846731240715241,0.7062563907443967,0.790941863113785,0.7253437190282506,0.8076827465545613,0.8778339180950301,0.8562603139490168,1.0766249895038178,1.0390712318724091,1.0593343818194958,1.171085224546203,0.9721729970000412,0.8623521116055217,0.9340561072657281,0.9151102571874646,2.3575133473066483,1.3023056342680648,1.7512831262107975,1.0007418231951368,1.044555399141265,1.0310469947851442,1.1117318511353635,0.9338709923964502,0.8254235784669225,1.084331824760223,0.9081081464058987,1.0040898609635618,0.86133462236862,1.19175194249571,0.8037737316708818,0.8054317395459424,0.8670466205533413,0.6986720831167959,0.7486751944420412,0.8879002795323118,1.0049435022139876,1.102581625113809,1.3453001247778225,1.159126059017965,1.0531746447538273,1.1041650773720275,1.2705419117374375,1.0823072805251412,0.9305038151192524,1.1126598423822969,1.1134348524253657,0.8797175816163431,1.0180398079178326,1.205504687155729,1.0123921641434503,0.9724906100046331,1.0550589787020035,0.9563193739094672,0.9800694599719274,0.9385094560379913,0.9488353602585015,0.9345607479728406,0.7990868989194175,0.8733393890707905,0.813668432284549,0.8102226379734072,0.7230425812243939,0.7868259580302717,0.8235081860158724,0.7859945714705056,0.6946541041386123,0.8272205965007239,0.9118011492010368,0.8696438302951438,0.8687856943730343,0.9532281293404343,1.1208288794040562,1.2597949928089063,0.9627574888568066,0.8274445395869543,0.8084822213729433,1.0123810405004128,0.943482166199928,0.9365600842465954,0.8980189141023529,0.7609338787255492,0.6615413369571072,0.6247754948184241,0.570675724619553,0.6097947120544672,0.7298423893879324,1.0203909918603815,1.5669688401020678,0.684402882482896,0.8449089451815034,1.0771010395922649,0.8793655980776213,0.735577575060004,1.0606897508177915,1.5764036631844565,2.7669862792082194,3.7395373312110465,4.991186856199047],[0.5827973297193495,0.39762226129776074,0.4933637289123822,0.34119416817737724,0.3657826859041456,0.42591115456193923,0.3524817822262085,0.4502046407213261,0.4066110676772836,0.42724505738194624,0.49738008551115453,0.5740933652431415,0.5255106894733423,0.45939855844469446,0.6074901366375471,0.585008428835973,0.5615700992900384,0.5928493131872651,0.6288075423691877,0.6147095513330707,0.6546923048369868,0.6615674504654515,0.8151433011755729,0.8406835328760706,0.7421096263411054,0.6553746670986511,0.5318245245172469,0.5398168550602342,0.5627480976667963,0.587236615966583,0.68984099316079,0.7033914878933197,0.8513652544289617,0.8064234373583579,0.7337178830376638,0.6432591229412866,0.6629281992806635,0.5951883751026502,0.5457365367913153,0.5881171883384779,0.5112098021901555,0.6057348998982488,0.6785651275709059,0.6628341146504463,0.8504744865788919,1.2135734012640798,1.285540025437301,0.7104822089350702,0.7975924895078691,0.8739623556255378,0.7987137084573659,2.402011414592477,1.9542870899096891,1.077983807379356,0.9950630366052001,1.3415050233724723,1.2762716049114795,1.1600922982634834,1.4189787067328283,0.9062942227540975,0.7923647807316364,0.8724421057858507,0.8058996758674455,0.9962982742326787,0.7051348765273914,0.7176399668684824,0.8749937950412998,0.7116602511808608,0.8674868995366696,0.7507848508221295,0.992386927968323,1.3758575865897884,0.9385497215948392,0.9229070823701415,0.7983663738357715,1.5276006042068193,0.7633842245315546,0.8059579156106633,0.7174819915745475,0.7619849046916437,0.7554832912572415,1.6214085034616372,2.0507346696351316,1.0228884518834358,0.7237236107942325,0.7171426834608728,0.6519098829457146,0.7528226592961468,0.6734326251767612,0.7847224137784503,0.7601878650342797,0.9234330134819787,0.8279662690928747,0.8106818579886864,0.7394061217958802,0.7921756497921046,0.8091389048931351,0.7524768302441973,0.723651638518386,0.9468993533617281,0.7532528033560827,0.7631685884203431,0.6919149419290977,0.7170323514584774,0.7116601816391345,0.6200964142242534,0.8700273292174525,0.5401501401974198,0.5281671280279648,0.7963709039821458,0.46764467979991403,0.4263279555947284,0.3978510019042397,0.4621640541005343,0.48090440596127515,0.5002494136843131,0.5311253027770714,0.5191082607414961,0.6945572447191947,0.6254774504119646,0.5765281082736945,0.5442239808608854,0.5052282120179178,0.43852018091329775,0.4061638028930408,0.39615777827980375,0.47926222539776325,0.4378364646274969,0.4103954978209497,0.4840933203812333,0.4362641630384296,0.520596403425235,0.45578000874510216,0.5991846596579063,0.4918076924982663,0.5132171110567487,0.750612841831102,0.4540275873550066,0.5274020520253772,0.4836611764875638,0.7538088308276765,0.6415785694788472,0.5727000713033329,0.5281858599135834,0.5102676137149591,0.527803248636553,0.4810954442983408,0.5139480496894209,0.4902140233368024,0.4836951488290171,0.5147630373550276,0.5679979841873674,1.0771387447077054,1.77057339767718,1.1365222848016192,0.8127435492949016,0.6160405010284757,0.6575220763829835,0.6060634176370855,0.6524810921044564,0.49064635099590215,0.5580717558590808,0.45813936447024456,0.5089511190684058,0.6930573895939983,0.5305907099686578,0.5123085311672605,0.9362203518681922,0.8335276698925207,0.9105510821275317,0.5108726237896448,0.48177404915373667,0.4933402040461211,0.5309033184819063,0.5521217738553946,0.6112439725507506,0.6213707972011099,0.9285670870268592,0.6318311158969561,0.7419674522858926,0.6958365662491283,0.5533300166105869,0.5413463987246646,0.5399678030126819,0.5520419553090646,0.5561448254886635,0.5314607424126178,0.8109826152370213,1.478226941626599,0.8783183972709683,1.0954396133270161,1.3366781489698778,0.7628828497975749,0.6535218273389831,0.515248658681375,0.5031060467783883,0.601411272103117,0.4430877222419091,0.4711475139325636,0.5130012797869185,0.47739244089771177,0.5298998403464237,0.44008950455481266,0.4511311221486647,0.5328233335226983,0.5088325905980716,0.5315962708863852,0.5152410095651138,0.5994084389663022,0.5616904106339613,0.6499332945105908,0.6959232900353274,0.6905654923059708,0.8967812879659348,0.8724426271784271,0.9563767396104168,1.0372739410754912,0.8207518117327259,0.6861621511459703,0.7440461108877324,0.703618019843567,2.341244853233069,1.1358988401798158,1.5658882507325163,0.7786880393286006,0.8182861453885013,0.8577109953171604,0.9452205507603684,0.7198824596401334,0.5895702939918013,0.8851717654811372,0.7374791851540159,0.8363700688035237,0.6654740130843706,1.0082135045818028,0.5902039329700045,0.6751196903797394,0.8025633821773185,0.5066851104834551,0.5820917098391541,0.7077495182245107,0.8343856219523036,0.9343261358852772,1.1458605474197288,0.984348201881985,0.8735281089123161,0.9039971985093294,1.1407674500888045,0.9005384809618155,0.7400382685757732,0.9111574223403697,0.9290660693821191,0.6942099378312663,0.8150517104178631,1.0065945612831577,0.8375089091307786,0.7827491954851025,0.8438924561746105,0.749007141230521,0.7682662830810174,0.7267292436460431,0.732687972302416,0.7094425437698948,0.5885436308549657,0.6423453226190979,0.5869023729314665,0.587879971799782,0.507118986132689,0.5821999505061555,0.6252092295401502,0.6182477188708811,0.5593188659303201,0.6111214144691474,0.8279163354846099,0.7667716118217947,0.7648769776806834,0.8665368100739512,1.0604826059236763,1.1118915044989748,0.8606710608375758,0.7045510599839501,0.670295696359826,0.9094854170874183,0.8220192260426352,0.827581131762089,0.7955564438765901,0.6179380183595707,0.5013175222767582,0.4512643212126125,0.4325451875241797,0.4456610040311893,0.5405214313361839,0.845553506318888,1.550585592180963,0.4895493722311642,0.6590155974405696,0.95237540434498,0.7646477247326174,0.5775589166952154,0.9386812533035632,1.5799238439379133,3.0111343343379717,4.086434551637961,5.334264652875087],[0.6618103308487241,0.5407818062462337,0.6458482909975216,0.5076907307592811,0.51888091395035,0.5692225538346083,0.5158545131414538,0.610628691096488,0.5904976133407348,0.6131246161043735,0.6829425704047063,0.7787532153702943,0.719458913185953,0.633572069934927,0.7961935957561834,0.7910389423059221,0.7487447474632063,0.7732241478753167,0.76721577440872,0.7891660644665315,0.7908499057629149,0.8089874427239037,0.8915404756347728,0.931220085365096,0.8870472231507617,0.7701043737114948,0.7038452380539282,0.703383974124659,0.7729647729857752,0.81605556346874,0.8928921443686061,0.9244068086505491,1.0728039563129956,1.040566306118136,0.9752442304082959,0.8647654860918828,0.8917584039025563,0.8122407827086728,0.7602603840057262,0.8315589530677134,0.717748739305381,0.7947753339439283,0.8967009617862189,0.8034765840479682,0.9224345261743194,1.2532044352390481,1.2688962074821146,0.8299731908632512,0.8936146350820369,0.9250180328713974,0.9119078860123998,2.4672475342471274,1.9615390290959647,1.2158971101825642,1.1579657228693887,1.5080610980878102,1.4061996748933214,1.2970194487089217,1.584478777820194,1.1350762061215882,0.9758352290777321,1.0850616388142933,1.0270189294416856,1.1674032704546287,0.8990083915805751,0.9178439326650139,0.9739803206928861,0.8697609749351157,0.9660280040644099,0.9034218501274957,1.1326426598500512,1.4728130357897558,1.0877868886162465,1.0260977222637495,0.9654944164231112,1.5843537339208649,0.9624474904467872,1.030146497420759,0.9545314909974308,0.9859161234187752,0.9724679234150949,1.6420370672988889,2.0918697671871738,1.2646439641365672,0.9266095705955917,0.9396589177007909,0.8855033643359379,1.0074339593388906,0.8993571263672843,1.0219247748060987,0.9898570036335265,1.0938422457863743,1.0316800883962622,1.023139724086295,0.9398120723405141,0.9962395243418785,1.0410656700043288,0.9732242406180984,0.9388888199359835,1.1140017730621588,0.9781037982407667,0.9356219112521432,0.8950967556892963,0.9014142971084542,0.9081852684637486,0.7926221294923577,1.0275080170063533,0.7140970610311239,0.6674904721864753,0.8990127173305643,0.6225993021374775,0.614520451107567,0.585696381262082,0.6249645776446995,0.6694432635971614,0.6400823999268513,0.6467231885458256,0.6016477625250943,0.7656938775134876,0.721296096767747,0.7009052669612316,0.6630623736181828,0.5805916855615244,0.5540930244365431,0.5548537303541522,0.5678283974364834,0.6291642578957457,0.6011641489416303,0.5938512629793048,0.6880401705682445,0.6179738438735749,0.7309321315659836,0.6711263083797813,0.8135682142656743,0.6744530742013811,0.6650590971080738,0.7985870929523602,0.604548836025088,0.6252782470340554,0.5799129946840762,0.7558305290424644,0.6758741495658148,0.7060197864318858,0.6567410505642343,0.6926422372599259,0.7319444285077961,0.6686215508061609,0.7054232484895799,0.6864280307189927,0.6771335427404248,0.6820448152397726,0.7246650990900646,1.1805899153659702,1.7863216390145797,1.180797842147981,0.9797761216745141,0.8190839815623084,0.8422180391915551,0.8084957976332761,0.8590667974717694,0.6833485019029094,0.7746356195325269,0.6443593683948381,0.7311917631694166,0.8502566931548899,0.6144891454857893,0.6140368684046417,0.8366319815143906,0.8233586434478034,0.8798243998844846,0.6304890756976336,0.6090825995686968,0.6716017664796174,0.7555572232466957,0.784912316367927,0.8257033166882956,0.8343374436590668,1.1052697029710068,0.8569065640980563,0.9616673385229773,0.8816703905560946,0.7761291723981947,0.7795178481355531,0.7805243526094637,0.7715255814510296,0.7547760972878385,0.6933390711991007,0.8809452539052242,1.474597920245005,0.8700341428599745,1.176023373587427,1.4448505733779713,0.8994260655741608,0.7874407942215466,0.6946885681722517,0.65018048388074,0.7254803476082806,0.6219901534430553,0.6283825264790445,0.6926217665435646,0.6665280429334852,0.7110914786721979,0.6282777634993314,0.6296588096209419,0.7032483097453873,0.6795580919238232,0.6737152161908808,0.68125248172596,0.7531817807253869,0.735906628082588,0.8141819073385785,0.8720867175218536,0.8870214385794105,1.0916940857849167,1.0374897928990303,1.1267714689966402,1.1694787776400921,0.9480411023012588,0.8317172079904781,0.8835112026470938,0.8261746574311369,2.500866806997998,1.1893835678110127,1.612182165927564,0.8992733168822933,0.9587396397185135,1.006357531751988,1.1051089171446788,0.8764106493716769,0.7613441882928016,1.0260987776338373,0.886355105968177,0.9185868170213524,0.8127366388622548,1.1649835806907975,0.7293787885570868,0.8314124697742155,0.9142879902497197,0.6863794452096753,0.7691480989790066,0.8776042876866572,0.9847267997048069,1.0660592527449415,1.2464196218652288,1.1071046066827812,1.012774460141827,1.0242202781220509,1.2607274530187846,1.0108310931095095,0.8548146078005374,0.9956874096226234,0.9925959354956588,0.82107925834097,0.9055831162223534,1.0447272858921652,0.9035044774134274,0.9035379250194427,0.947772961341245,0.8661948421031249,0.8787644047902944,0.847106523513207,0.8612588167274449,0.8391044385564019,0.7363294196070834,0.7844752241761983,0.7275750360890954,0.7205668016336891,0.6790254557642565,0.7444427092955681,0.751204479740167,0.7742330512610327,0.7063133953422276,0.7414687946459454,0.9205919924634209,0.8783361784029047,0.888015928149077,0.9604577789321962,1.1634362870157477,1.1782515530906033,0.986819378119458,0.8632328108318239,0.8410779152497287,1.0324856247640672,0.9249752515866654,0.9168571652681456,0.8930087904518359,0.7447531205437768,0.6260144059396161,0.6135448740764409,0.5926064327151869,0.592268969295814,0.7033020011785543,0.9807015797361143,1.5859989990506125,0.6286932201325758,0.8142770231564995,1.0719549404707172,0.7876558302697019,0.7235216612877865,1.1048273341067052,1.7960939353797165,3.189554259735992,4.464477764659313,5.845854793712981],[0.7027199911447615,0.5753039556774537,0.6428514942568707,0.530610673852669,0.558055955259032,0.5956565762257796,0.5187379421644284,0.6176230264799909,0.5400078478601924,0.5214233151604785,0.5564678185001224,0.6183528707793441,0.5948986040114043,0.5537561377523537,0.680088788973102,0.6564532534055065,0.6303079581241109,0.661427857499373,0.7047228829810901,0.6775642629601968,0.7105153934150581,0.7177543926143438,0.8417459590915974,0.8869870916881247,0.8010270036577276,0.7075412957317708,0.6209863977692602,0.6177368365950173,0.6398439080850641,0.6501976563872864,0.7194490335671192,0.7403306163685381,0.8579425442571673,0.8186376921027142,0.7640266412127653,0.6863506293302173,0.710519719881952,0.6664974117402068,0.6301296081735249,0.6945399007531305,0.5989216036024667,0.6791313510178311,0.7764893853048737,0.7200612621938552,0.8534044303120136,1.1884778511567466,1.2072697340015424,0.7391886543631571,0.8127799519399284,0.8572416476242308,0.8530371953480541,2.4124580442406964,1.9321194757455031,1.135767147289437,1.050874771893724,1.3975080792733918,1.3209032070839601,1.211462897060569,1.4660646028557722,0.9735482246735812,0.8542194611279074,0.9334249991571146,0.8551314260178265,1.0356380330083816,0.7665984470366942,0.7716563111095915,0.9159250793842758,0.7611509717785184,0.8870688259669183,0.8292150624758405,1.073204600867859,1.4610772406668593,1.025915992784536,0.9491938608330601,0.8308978396176397,1.4927175153726873,0.7985219113043178,0.8200070892467002,0.7447343427443205,0.7846017018675915,0.7774926342366801,1.5501768792159933,2.0200061629557595,1.1555647914919076,0.8228400852022895,0.7857387056584644,0.7126276225059976,0.7834728628243119,0.7134443573017606,0.8041670549388195,0.7930881558154613,0.9164481519207918,0.8327194420044847,0.8095621141558321,0.7590817945450066,0.8129412129807981,0.8836031229253835,0.7713820326379406,0.7677714465699206,0.9839080363659357,0.7931962624396081,0.8150556487435333,0.7540800869876914,0.8102463308452367,0.8025250888771691,0.7391059275249564,0.9775657975979412,0.7245469748467708,0.7256738814384205,0.9202746614727594,0.657444618879454,0.5796880281745854,0.555231558638745,0.6028712570082618,0.6107939599542711,0.6162809582083922,0.6013039663591575,0.6011989770795497,0.7199260537204133,0.6758674429423372,0.6635024405890011,0.6372780100924977,0.616192556974967,0.5495440897818937,0.5370113314319309,0.5356503379729699,0.6641967495603308,0.5770326034408639,0.598493797609732,0.6383828475627354,0.5961756025490688,0.6842023044229357,0.6238410499142364,0.7382878721498006,0.6353173246363124,0.6315552477018298,0.7904251409782955,0.5811427984617418,0.6273389319002936,0.5903868508033332,0.7844193547978159,0.693954170896123,0.667085238348552,0.5997049427119423,0.6058550126059195,0.6228471678123069,0.5842384652936247,0.6120678996437393,0.613168222643691,0.6058950745855778,0.6803123051134399,0.714517219238459,1.1256005227052854,1.8718845949053446,1.2440384597137064,0.8796840433086254,0.7061494785720329,0.7561925501683829,0.6879401437747187,0.7647620966674487,0.6094932586888964,0.6436759567405981,0.5655173235446765,0.6128928907494207,0.8151028851400857,0.6025171320687754,0.5945775113677073,0.8714882500221102,0.8297267466146169,0.9055826821975077,0.6235225444442984,0.5885528054966226,0.6061974149303823,0.6279493694526036,0.6596060695719396,0.7157908071952137,0.7137704958584966,1.001502615501447,0.7333356465164977,0.8312480347201919,0.7593330709800239,0.6736611738107734,0.6653921516901952,0.6676528228185457,0.6818646956647505,0.6595254123292474,0.6157265354557758,0.8763756241602672,1.4303531191564687,0.8523274143779527,1.156835371566336,1.4258682462037033,0.8403342045094889,0.7497651518646018,0.6671869166850002,0.635645069764431,0.69392551076132,0.6177085964808603,0.6412859676674908,0.6881327381180438,0.679055526742916,0.7246872452117219,0.6499772998326361,0.6457357566503101,0.7110174329668927,0.6945398226371724,0.6560998079876547,0.6759370321119994,0.7682027765597087,0.722489196173629,0.7692887837221009,0.8261942886141221,0.8544435496514967,1.0293898068967566,0.9550003664062728,1.0582583645261932,1.1498222040065265,0.8799537056591216,0.7949364146603385,0.8717193439584224,0.8262352167095502,2.512848060426912,1.1567502072155864,1.575191222209141,0.9322863309861623,0.9931985141167429,1.0215720625052385,1.0978942858517242,0.8673705864245324,0.7542765905916747,0.9679855872916273,0.8799327722492682,0.9190191919699982,0.767661748987009,1.1147855330480605,0.721279526478407,0.811276451033952,0.9212714660465473,0.6728828117974461,0.7607716674707293,0.8439814885735575,0.9636466158814524,1.0629926201647093,1.2494811809162398,1.1212312397540665,1.007516458801902,1.0236717132713147,1.25193620083586,1.0219002570835896,0.8923749950158892,1.042006181167772,1.0405987719978322,0.8578207954602196,0.9488601000932455,1.092461557208241,0.968209973174345,0.9335868636080542,0.9818808539027307,0.8823227300645893,0.9010972931863593,0.8741256742795172,0.8864379782376142,0.8356043575389583,0.7625556935915098,0.8242448286496098,0.7643973288658235,0.7509937952613587,0.7108259399856227,0.7699743780773343,0.7457952995306244,0.7577242932347255,0.7164043358732101,0.7462693535980253,0.8832817464651532,0.8339811916093763,0.8173611984262575,0.9023204257772286,1.1065347876628016,1.0836195341892159,0.8988134936460841,0.8016339133075575,0.7712472826557445,0.9679418160842612,0.8372596600007256,0.8304446233479144,0.8279516916410466,0.7133286669095127,0.6458666929833566,0.6057742354412355,0.5813653570674202,0.6087175426069869,0.7357905410048743,0.9694680571993035,1.6229432996367603,0.6665135143788822,0.8149815815513093,1.108861935862795,0.8315244107152377,0.7717794417408638,1.09701744624965,1.9026290396501804,3.5122257974166033,4.9121520027954055,6.37881287318603],[0.8260711060110205,0.7967685405817884,0.8776059749109044,0.7746207464454278,0.7901690816861792,0.8164013540136561,0.7805377580962014,0.8085452948127286,0.830336578812661,0.8701096266534754,0.934987275267228,0.9325070935889338,0.917146502001097,0.9170764046135172,1.021675413990391,0.9843504341203342,0.9639801825713596,1.0154735033393336,1.0381400356128014,1.020719907455287,1.0343608439343273,1.0208858945317791,1.1017853919247966,1.1512570631181964,1.1237931657413023,1.0295166442067685,0.9622402545644821,0.9542579650486809,0.9812008125657354,0.9695033235040136,1.054050038417044,1.0234333515484848,1.105984987174244,1.093460482098271,1.0624174086738272,1.0170860279638196,0.9969212177974471,0.9866690493080915,0.9627213262957206,1.0169992947096331,0.9394498691503071,1.015633042649491,1.104089262635296,1.0066712304484415,1.1001979571845597,1.3417269675404875,1.350973129507001,1.0280442554451201,1.0564332854440255,1.057628132200183,1.0819528387859407,2.518644064123324,2.022625930755752,1.3551126433147764,1.2910233708815102,1.6266564736694347,1.5127828415289801,1.4185644142015275,1.7080688838215166,1.3008625431842007,1.1410043670051733,1.2186758077714803,1.1614640447153026,1.2974746539945887,1.0891676912530193,1.0849516044484155,1.1989486677217567,1.1029361127087733,1.202889400956231,1.169154322091688,1.3779201224967936,1.712057069201165,1.323841495576048,1.2314416523604885,1.1206863305584553,1.5990288618592605,1.1054962120339147,1.1016849629121146,1.0531623279311768,1.0883685100316574,1.0196233631843,1.6390733651569658,2.090251755881297,1.3774078875682019,1.0517894081259376,1.0522719645681708,1.0100104492580164,1.0642877956690848,1.0453193068512285,1.1128058233066842,1.1082921890418567,1.1481735964114366,1.1344513999297883,1.1073441902877827,1.0746167235452742,1.1404969914130563,1.211495996772949,1.0535570218386126,1.0194532570811004,1.103354619943367,0.9879891399348664,0.9390297833517756,0.9248925891974124,0.9317345926561247,0.9570796840689089,0.879677091092253,1.0811580211095946,0.8405892599696324,0.8238380945008096,0.9895258040681135,0.7969060113748994,0.7914819761895912,0.7931201510297939,0.8512119103850033,0.9049286174292456,0.9050203588931789,0.9264284274226052,0.9135750519897566,1.015975934986127,0.9988190038871272,0.9959201069616497,0.9593806104490143,0.9096877085761622,0.8434682843193605,0.8313241149013434,0.8221723816092609,0.8582011441700514,0.778911931202349,0.7897301095708499,0.8321900530681948,0.8123996855776418,0.8680375614237629,0.8427534812809966,0.9099319929359994,0.8541943299543888,0.8394777573467745,0.9630413508741277,0.8321489632055847,0.8673059764693266,0.842103320219313,0.9905804911707413,0.9497149858083235,0.9704544510452123,0.9192184284628111,0.909594937308452,0.9281714462796568,0.8818913992014022,0.889679492417918,0.844504458636034,0.8313188457179076,0.7881556335308364,0.8193072504446964,1.181195833702336,1.8530219497269373,1.207942054933892,0.9816898597740981,0.8785690333480658,0.8909452380573215,0.9056829005014139,0.9581966022955862,0.8636847112469632,0.9341742435385925,0.8661532702919438,0.922032803353999,1.0298606162633523,0.8463517002620626,0.8422193396988416,0.971778984334835,0.9842974694757551,1.0217560855009127,0.853921403215067,0.8289380410447025,0.8461518511696917,0.9045654806196248,0.918879896295831,0.9185908903607632,0.9294802017925149,1.1368858327126834,0.9517303580096691,1.0473606063081553,0.9878397507084278,0.8938912159262623,0.9015500192499301,0.9090710536372029,0.9078477156869525,0.9300300034432494,0.8999920024758687,1.0724736530650725,1.5400067538380156,1.0061800119675064,1.3660946566582504,1.6163960771550554,1.069545180667926,0.9463445684253953,0.8613208800674157,0.8398796028946006,0.8730456950052139,0.81907486666693,0.8444502213295404,0.8597712501633084,0.8406984388688798,0.8843914153959581,0.8120706211147488,0.8394644588561146,0.8985207021951058,0.8846718185168435,0.8766022961926622,0.8874670931553461,0.9391084560556939,0.9348473542934582,0.9820187723113701,1.0390102364371396,1.065417373280193,1.2309147242779312,1.1529891474452434,1.2956294468778242,1.296192285392309,1.0883612807717884,0.9809377707066672,1.0529312136713522,0.9952361759422372,2.5595735967288995,1.2985230193754147,1.7260972111337378,1.0723974923337027,1.111003399032735,1.1290243951006382,1.2279887896528898,1.0124013776764869,0.9328707720881999,1.144204993231501,1.0612205914309192,1.0602255591545264,0.9693193957520573,1.2966911560449796,0.913462559535404,0.9816842341540408,1.00991412579491,0.8678240289108755,0.8879735082699928,0.9967431069118595,1.137646071984139,1.202140187795387,1.325653320388505,1.1931475802509206,1.1405156990377323,1.1442510800060521,1.3452845385546899,1.1235235211436667,1.0181997510763734,1.1594897754672708,1.1532222454627372,1.0032369572519575,1.0967185085050917,1.22596527545848,1.128288584781327,1.1035698792132904,1.1506816560677564,1.0503932157861962,1.0488216174841274,1.0138419237141474,1.0302892019203431,1.0055453188670784,0.9338580766515462,0.9900921808378371,0.9305850724644132,0.9175958007906412,0.8976156858498201,0.9324968849380222,0.9261895968836295,0.9420568525824479,0.9188723167452858,0.9316487954283067,1.0855031327203106,1.063003703563361,1.0530431658752046,1.0832560293782272,1.2524677482790438,1.2690567695008599,1.0841272027958264,1.015679022715524,1.0111085444261123,1.1815722254735053,1.0564569741975205,1.047375736198497,1.0576334055773728,0.91983627489385,0.8496283387485685,0.8250130260662207,0.8102127737559218,0.7986359211182212,0.8703290855978283,1.1089925367348514,1.6837745719863095,0.8173994469458532,0.9767390849998895,1.2212598935205916,0.903776644411586,0.9256411532951015,1.2445688110977333,2.1122653669809615,3.591778318374729,5.079088791621032,6.643091935230878],[1.0615064642601002,1.0232191826064474,1.0694568844170287,0.9145880845239923,0.9301295346167897,0.927172545774921,0.9001976682405747,0.9291650715052373,0.9464356066959659,1.0415993698951946,1.145269489401108,1.1371597735844612,1.1744877948077885,1.1793543441003032,1.392161516992002,1.362313793708577,1.2855693525462075,1.3945497537378213,1.4190493546050806,1.3934365860575764,1.460740389797367,1.4642686330466292,1.519762956133687,1.5046471029022428,1.4183633993650708,1.349448973598464,1.3161147709308065,1.258492019060071,1.3105691350645634,1.2910851858493495,1.4774121085785261,1.3771093893478465,1.4804574017303542,1.5159859340935549,1.441993983758946,1.4031976940236763,1.3208600900288519,1.3250393080319558,1.2711872198817613,1.3361908143201005,1.2576342758757786,1.3604650993052805,1.4680059981632223,1.3331254282129223,1.3784524884200822,1.5084558242587143,1.5684847547307186,1.3640700508452155,1.3141192305656522,1.3198116572664575,1.3911940234536295,2.6864717566829133,2.2023704682873833,1.6322002986104045,1.52447467359212,1.8871634761269616,1.8105027943287189,1.7384049714836005,1.991927266887031,1.643152570171685,1.5189973310634879,1.6109222922973034,1.5949414067154142,1.7090999331234515,1.5469674167388503,1.5116236768376896,1.6142581712949562,1.5517232419988336,1.6364388097614366,1.6275374976498107,1.7546376133371568,2.083900060893877,1.7722631205820132,1.689458203569717,1.58345590489497,1.9698871338678272,1.566139120401799,1.5421894546783845,1.4733081302926334,1.476525501299468,1.3883264611764814,1.7498795364627417,2.215915629303901,1.6717863057478486,1.3130132421549172,1.308478373605374,1.3625013236270043,1.4256867836568425,1.4669732298293192,1.5312800428226974,1.5771694667289862,1.6490128998701654,1.643834978806876,1.5912767436657,1.524018783263474,1.6391763150372383,1.630014513516455,1.443815700247395,1.3434390068852076,1.2864578045162534,1.278633889558866,1.1614126184218259,1.179606514303805,1.1376803806222209,1.1505329308341783,1.056677829914053,1.228581548944223,1.020368120321492,0.9715104565709496,1.1207233777543557,0.9507089015874209,0.9570240664345991,0.9354965021960939,1.0043569977565894,1.1120190051441543,1.1006432678013516,1.1898423153187945,1.1756600830213648,1.293114739222937,1.3107201490960205,1.2946882824498904,1.225132271398587,1.123587329781413,1.0171889596679002,0.9688717550421926,0.9677063335420024,1.0264386533590577,0.9570145083338902,0.9602465629075494,0.9913886354999589,0.9629099414414626,1.0314879544634326,1.0167366403060754,1.0418967143497053,1.0300742268213348,1.0064506624612246,1.0646397521671773,0.9898321055489824,1.0499265307042394,1.0397523090538958,1.1754189517840812,1.2064437250654811,1.2370953532164901,1.1578219279709612,1.192118294421702,1.2066309595514608,1.1286165317332593,1.123685932497024,1.055252342687376,0.9973228939423067,0.9539294482581575,0.966298203629355,1.3405195630051754,1.8646428472933017,1.2727149581567898,1.1658135757035604,1.096377338991668,1.097236768969846,1.1560197366771943,1.1390747788464326,1.0835046681640257,1.1870898400901149,1.12261828317858,1.182122401732782,1.256900988890873,1.08017926827455,1.0312010127750835,1.136313697434141,1.1405584592505669,1.1909167933934055,1.0356904052808023,1.0247852078837927,1.066678903345474,1.1219671511314442,1.160949196475095,1.140570734634616,1.1908428343732425,1.3549273373012993,1.2292635766619566,1.2819812735878173,1.185363855023861,1.1034105149404037,1.1009599541044812,1.104910600977776,1.0995238231537776,1.1569891725264383,1.1821924584440788,1.331383040604236,1.6032034099056889,1.2242729773291152,1.4731649234359707,1.748279610261349,1.1896788766881545,1.0825239997336076,1.0443742547722927,1.0204871115410732,1.011865219403115,0.9698307662116021,1.0037382242258779,1.031812300624823,1.0519372150293143,1.0918520632741384,1.0126163159450967,1.0535238891863017,1.1384892834067417,1.1228606805788008,1.0798487592509687,1.130283813360647,1.205300930174818,1.1808727178903156,1.2203045785336015,1.3138062073826577,1.3413211950774244,1.4584035375326327,1.3956309248093015,1.4821800732084554,1.5492378768889292,1.3188482906906842,1.2273770650327367,1.3247627500808807,1.2691191426070434,2.768951182246227,1.5007317791528418,1.8508039878650895,1.3009226434493717,1.3649624355376144,1.365228495384914,1.474986632060955,1.2713927848077258,1.1702139080623524,1.3452866194375974,1.2840274981612152,1.228332405545567,1.1467656871994216,1.4491419976432023,1.0797043310817505,1.1600261972811718,1.1658131629043256,1.0590893689800478,1.057465975543214,1.17843968979357,1.341779824309734,1.3818170900298028,1.514036819613816,1.3687558138656137,1.324336584203379,1.3793552015850907,1.5214235468817003,1.3169705736633426,1.2525736622912182,1.4175552369615865,1.4010722338619195,1.2748032784041459,1.3820317078864817,1.488178625006745,1.421954092570193,1.4109949062640015,1.460640393660131,1.3411967993983618,1.3249047145122432,1.2700410380642224,1.2850878317211982,1.2893583135836395,1.2011044506556812,1.2281655864567804,1.188627529490507,1.1785629223681842,1.1319403657646738,1.1724180251200726,1.1819647522620176,1.1634967183544447,1.1254200501345242,1.1517923841993123,1.2734036726250457,1.2589198111559043,1.232489432667528,1.256228993593622,1.4064490990995673,1.4354664492810836,1.2716282577254199,1.217512560608537,1.2278972833031965,1.358334615957981,1.2156169428179704,1.2027793460296612,1.198340148460298,1.0824209235089373,1.0234835991057898,0.9954055230942134,0.9571082982225539,0.9881869855891031,1.047156095869949,1.2863381946111854,1.6844200768709074,1.0016917370893546,1.1834803611727212,1.4174955361734267,1.0586329004299089,1.1089067079689083,1.4518036148779883,2.268842182927402,3.5211669320197543,5.11698928856313,6.772338150675307],[0.7373304438988267,0.663321826927813,0.7507394148768065,0.6731337530659479,0.7208730199400796,0.7405027902590868,0.7308822376337849,0.7818484247407713,0.7716793884372636,0.8090597496571501,0.8445322880636306,0.8754670799187663,0.8662768675934569,0.8505767060633714,0.9454058215842236,0.9059203805102904,0.8964640151852324,0.9050488635606495,0.9561875128088624,0.9358635823776645,0.9623855980969647,0.9743287084286588,1.0618499836992887,1.1173132409842064,0.9963772043052536,0.9135387280403565,0.8889182326019683,0.8759726328684772,0.9020519773757273,0.8954154893259393,0.9673325583488618,0.9689413058101637,1.0565019382347085,1.0172651286925976,0.9834133023857685,0.9233848205032915,0.9482282279784391,0.904735324458531,0.8922546020117693,0.9874216380338751,0.8764339634594767,0.9423535472591363,1.0420351931894791,0.9652652500184414,0.9967902486956826,1.246468839735492,1.2780901550050876,1.0269966143008444,1.0493982322278415,1.0344392548718415,1.0509138908634348,2.5061851559946646,2.00841359074283,1.3193494719464933,1.208980112930481,1.5389346517400295,1.4432653284245955,1.3859783727980077,1.666033756453202,1.217084258477441,1.090096178328656,1.1336723114971428,1.0683561530657824,1.2127828327294643,0.9971391082931638,0.9976958311730436,1.115321935911698,1.0055752304463572,1.1688721138585065,1.0816176430774034,1.278266024781448,1.6865866979563728,1.2326448584404845,1.1758610078497675,1.048117437171097,1.6206207154817818,1.009931688527339,1.0351538984461446,0.9856449286553871,1.0194140111142855,0.9700963806825559,1.4797527393779337,2.027636303891489,1.4469770276713025,1.020116393436699,1.0069550257557642,0.9631503355998284,0.9991236504717927,0.9615242484459917,1.0259858328052518,1.01459220129956,1.1089574447256112,1.0579960457871673,1.0124103010148304,0.9861041064801662,1.0122524553107424,1.097525274931082,0.9991726723699914,0.9604471289644161,1.106576106400438,0.9836144339941334,0.9680556960608446,0.9392318634607205,0.9563952612846306,0.9734490407117048,0.905285420241796,1.0932160323710254,0.8814307965243128,0.8568890488682024,0.9933782993171172,0.8071804157920347,0.795601998071001,0.7848448941852368,0.8573051554261399,0.8611858817654526,0.8538974489048448,0.8712263698318664,0.8748563635822943,0.9092390444949134,0.9239024468415988,0.8902160140370677,0.8993190255738821,0.8902452773734376,0.8146103915956873,0.8009412078340896,0.7946241431673666,0.8465749852212531,0.7779297683867505,0.7938754838909744,0.8324242167598139,0.7931945691181932,0.8481988023384354,0.8270079121054608,0.9139408478584921,0.8546881424092219,0.8371102711989743,0.9498769476246751,0.8048084933234029,0.8356883171794768,0.8462365854975366,1.0179539988269397,0.9449439628702813,0.9003596406780794,0.8419581240327716,0.8606865216554102,0.8794737179251769,0.8456750568428573,0.8600367477846118,0.8428387966609487,0.8214105363330855,0.8265751036275912,0.8430788777437028,1.1867814026936985,1.8265200350882593,1.2307287733308707,0.9866897528670947,0.8721983588834763,0.9052299930135829,0.8953245712372465,0.9676064906212345,0.856121346070005,0.8911053892973941,0.8525278214523275,0.8779360737868814,0.9636316503746575,0.8764696729100252,0.8329882140960266,1.0419810844294877,1.003014724432942,1.0822076379148449,0.8621263049136337,0.845696271129645,0.8473221235637601,0.8831182223667721,0.8993574216261001,0.9162322422740301,0.921081928834845,1.1118185662951583,0.9468556575960132,1.0456573531015039,0.9769009835909234,0.885474397470588,0.8786264793830886,0.8773266007821483,0.8734651097190729,0.9192701453572385,0.9055171148276234,1.0723793801454424,1.5189513994966104,0.9879824405522818,1.3415115501409256,1.683795161101341,1.0671608208805394,0.9322549665096753,0.8642909799986991,0.8430289289509262,0.8682124655139356,0.7992163445638792,0.8177419545844725,0.8172007140653905,0.7948691613747052,0.8297022156725294,0.7677651020093691,0.7689726887099416,0.8170930072639265,0.796942670140943,0.7760815221051963,0.7706863020400243,0.8274156819162292,0.8049965890587881,0.8477762725255424,0.9001749134546214,0.9265812849041364,1.1119741246010073,1.0186313485328855,1.165484327799667,1.179153411709457,0.9671894449738506,0.8651461811426288,0.9347084765425903,0.8954491144466453,2.5677011256024795,1.2343225762777883,1.6614364236711114,1.007669323828641,1.0868105443870564,1.116852733950307,1.2316169806543953,0.9788187759821503,0.8882615786944873,1.1091737322223472,1.0189953375855778,1.023145637249299,0.9207751090178126,1.2889974711199854,0.8724257449538084,0.9244477609320464,0.9825157191170771,0.8213370199528658,0.866856287446294,0.9806097574856626,1.1026122787475405,1.1929371554975488,1.3258647859945547,1.1954820587895123,1.1242291913267004,1.1090219844856772,1.3142002725532334,1.0953923693942083,0.9626870093631794,1.099032820051836,1.0818193995266827,0.9045913584739533,0.9993267491360976,1.1237481080963305,1.001775474503362,0.9790998691559585,1.0298727750818761,0.9329405266823362,0.9533389911363659,0.9416958772745583,0.9592204034224536,0.9071212153157688,0.8334318389688629,0.9180411353755857,0.8371943671623754,0.8209114507303812,0.8187185572165144,0.8739631655846524,0.8250656510073804,0.8487708572917233,0.8560699101506238,0.8526659677515511,1.0002317300334447,0.9640527962804333,0.9305999154438551,1.0002770877265106,1.172390720989303,1.1748494115150867,0.9894103477831718,0.9008782415646813,0.8839197445889525,1.0641576036220524,0.9621236190685782,0.9628867593160008,0.9653058561357775,0.8487024802308258,0.7839440396167818,0.7954524146390122,0.7760149086636539,0.7326809883634061,0.8378732249369345,1.055521171278285,1.6280441424936034,0.7672147116465582,0.8915365979439341,1.146211164591637,0.8632196062401027,0.8252835291418527,1.1457912754443609,1.97840202607843,3.4585867049035532,4.927220784117651,6.495571875746954],[0.7633973289094326,0.689810047697351,0.8031341899160037,0.6190555986752672,0.6633664155989681,0.7399645901142874,0.6997304622202475,0.7956062339421194,0.7307080620238273,0.7472451751950095,0.8024601988528193,0.9136188941118113,0.8587667408495224,0.7536037124319663,0.8983959143065184,0.9156950061817862,0.8475238093886847,0.8595689884296136,0.8854387928238018,0.9057262429593549,0.9086023028952986,0.922042886449807,1.0200510094175954,1.057919784976624,0.9468860562487036,0.8588824456920738,0.8305156336677189,0.8189909559206641,0.8892571578738475,0.9288919869389326,0.9875591739455738,1.048196772477826,1.1694452712988286,1.1274674313611488,1.075173416644076,0.9613155673958508,1.0085625977649848,0.9244519177968732,0.8963949966289062,0.9970475220602287,0.8536506461453807,0.9216852552324295,1.0266641287905802,0.9442506471652391,0.9891728316283632,1.263076768499096,1.3094307588737581,0.9944288618976016,1.0114333332309038,1.000677994467362,1.0210765063876883,2.476062693023391,2.003197934101064,1.3088641132801015,1.2558037656667513,1.561704105268219,1.4655660752129782,1.3970378622932544,1.6673254559313109,1.232343723814711,1.1165931292570848,1.18410454005753,1.120308459432895,1.234960210463254,1.006183484958809,1.0123310341789364,1.0624165534573309,0.9777162260923132,1.1094475718270376,1.012711810866922,1.192831099636696,1.6070933598521229,1.1870852209327625,1.167200934710124,1.042142650229865,1.6610200197241731,1.048032240546224,1.1216654700942212,1.0665447295191013,1.083437043556161,1.0664575427323988,1.5667286852521811,2.0865142255340308,1.46292252367993,1.0586072813818743,1.0437001789684166,1.0001969601734289,1.085566186966912,1.0090751963115467,1.1004501136724503,1.0725160751103302,1.1796467128642891,1.1211473521531827,1.0938452087369492,1.0276826830512897,1.0669709111658794,1.0930458769410258,1.0762734880553115,1.0463517553094739,1.230444328863457,1.110800753160261,1.1087089381829425,1.0658649169784948,1.065449150948675,1.0694489834832512,0.9915329071542065,1.2256619912449618,0.9504108945212191,0.8984072142790347,1.0618394922578727,0.842462701571918,0.8139282458694204,0.7692883467158071,0.7889618329210448,0.801180104473025,0.7650207639982478,0.7554767879070177,0.7377303113320952,0.827863444994685,0.8106628433778584,0.775598878340241,0.7658379797496201,0.7234199648573422,0.6753669872385614,0.6973054684390427,0.7266838334646596,0.808708930788314,0.7922337275281974,0.7946005052801931,0.8843613321808612,0.8138504431387191,0.9085376622520428,0.8715951224406904,0.9723244355979928,0.8594734999546261,0.832083661661539,0.9297792429423486,0.7434547242570029,0.750661095341762,0.7317592921188018,0.8922258314180714,0.8188378659800616,0.8211970317371096,0.7702867946310379,0.8194314888908912,0.8512456965364154,0.8057527885571218,0.8486763317635873,0.8701423664144822,0.8549748903384561,0.8768944611769114,0.8944917977896181,1.285151961164603,1.797226675936433,1.258909367500393,1.0905776466073192,0.9553746721882765,0.9894883002514538,0.9564081609055416,1.0134239488016976,0.8639789381203772,0.9162371038851138,0.8165664597123617,0.8913512724013908,0.9845957690477268,0.7880364035761411,0.8114149334783092,0.9963233209222064,0.9741809946020307,1.0317641054865219,0.8061442250481449,0.7799987878604676,0.8431150605866041,0.9185506470351442,0.9472561916234942,0.9918902422699212,0.9918441925438788,1.17063613282483,1.0186873483593974,1.133654495627846,1.0214693782493616,0.957435758418445,0.9564458017780568,0.9456389549533428,0.9132673796772042,0.9451336182008943,0.9020812578365446,1.0541686191984456,1.4812934844373504,1.024428211890115,1.2723100433794767,1.5574672184625888,1.0438195182489751,0.9346088388412174,0.895341183864524,0.8748131511173882,0.909668783552966,0.8314589617466788,0.8154919888297293,0.8701101480783261,0.8901899130094273,0.9418041901003498,0.8401013959949161,0.8294580524186739,0.9195587301690253,0.8841210132852603,0.8239760841027081,0.86716507525111,0.967650340579837,0.8986647103839562,0.9493715463659219,1.0123588914808264,1.0175230798559558,1.1582669456376926,1.1287189075216988,1.2100245992190468,1.2257473461738468,1.0136470599300123,0.9597495881748678,1.0212408922571485,0.9923046386920827,2.593016488561582,1.3347874598208564,1.81262554949739,1.1414559917722507,1.2066932557858594,1.2579690002699178,1.33572684122223,1.112779688349066,1.003578320481092,1.246970229358244,1.129641436087304,1.097969889351745,1.0110951239769501,1.3187177023660532,0.9116860615898957,0.9853472159256248,1.0529186339872143,0.8776621897129533,0.9544131390239562,1.110374400597117,1.2439977937169224,1.3394668273037875,1.4974880920722062,1.3654509822809748,1.2643585445813563,1.2797773355534172,1.5010311694525886,1.2517321191236277,1.102917243584375,1.2488498255849412,1.2322079076217685,1.0390872309285142,1.1477846980948208,1.2638726685186927,1.107612823028713,1.1053546094612448,1.1715740493524562,1.0902723191056822,1.1265697164952668,1.1091243742681531,1.1214655427369227,1.074220050801609,0.9481437664411767,1.017666079744318,0.941153414494722,0.8922532820442737,0.8751411609416158,0.9440360651919356,0.9085777077585894,0.9120674720528422,0.8810518798203288,0.8976639023911117,1.0947252597204769,0.9989971442941356,0.9964540579214298,1.0752507394654156,1.2537638083901195,1.2637779323887228,1.06934937497993,0.9425438623940724,0.9311818297836503,1.0649121604414482,0.9895654851330513,0.9860056544797267,0.9710719080181633,0.8670737474468688,0.7595767475261443,0.7920038398742553,0.761539897791693,0.7662927137644311,0.920790923328631,1.1834449104636429,1.6665361158124117,0.8355181059032556,0.9842349165167367,1.2312116495308096,0.9362361967425192,0.8695092259935067,1.2288553297148612,1.8629826646479313,3.1302003030628605,4.4271868365835845,5.892102809310971],[0.6624661067371189,0.5189152519571355,0.6017933697479279,0.4656640076334867,0.49240330037767666,0.5372627706588955,0.4633683484219664,0.5647869064043564,0.5000789338227364,0.4915639962975027,0.5491005106237087,0.6403725760943856,0.5881689732116004,0.5328222763552216,0.6700707895073027,0.6696700945156152,0.6325103934823828,0.6621265227834002,0.696321501669244,0.687819917255398,0.7328537692290271,0.7197772950984104,0.8798909018756939,0.929167007982894,0.7513554243484557,0.693613359697263,0.615002308280689,0.6036916487380435,0.6408237386278199,0.6702068249588913,0.7632526191237926,0.7895869166124572,0.9363225238329387,0.8887293833006988,0.8163477447608667,0.7220874841210689,0.7414210182322761,0.6709889996533364,0.6279417779613818,0.7032050588992028,0.594883601530151,0.6762624345176943,0.7491638862415501,0.7524206276006874,0.863718795537817,1.1834045982941321,1.2329221949662916,0.7998039290270924,0.8857673014587886,0.9119435446040094,0.8895700451260945,2.459082556688649,2.044020202614327,1.1991649256706438,1.0560933878269274,1.4406913128355008,1.381797483461134,1.3098653244056901,1.526599357248594,1.0130489153137627,0.8951443612966835,0.9316894375314141,0.9017112329340048,1.0997452490448778,0.8038061696505278,0.7922944568620309,0.9551510217384246,0.7988367828483418,0.9364404657904435,0.82439927927384,1.019952435683765,1.4863240764430534,1.0200429859622389,1.0185950199278013,0.8588594448818454,1.6037312753542208,0.838134772386569,0.8844309679897768,0.8010463217474761,0.8426839604610367,0.8388285295024649,1.5479727805021666,2.0577024834164517,1.1496949559677898,0.8017721571604088,0.77603675918274,0.732533304578704,0.8312629424918415,0.753565905706244,0.8657288820329383,0.8320049173164954,1.0238124574371144,0.9069944182397676,0.8774055294697689,0.8038931441006731,0.8440577618668196,0.8530120682962979,0.8383518450630479,0.812203218209204,1.0152722416255995,0.8441384431593361,0.8320452664894845,0.7806440163763693,0.7872635149481795,0.7927803358710683,0.7089482468478823,0.9237093666845899,0.6506489258263266,0.6326591219201411,0.8701185046273759,0.5851633283935335,0.5374702720951069,0.5185666269465276,0.5584040912203666,0.5773906573082564,0.5840347560228832,0.5883014852468009,0.5920861700278855,0.685820606484111,0.6526879917103541,0.6031637157316716,0.6073696036394796,0.6143851378117218,0.5201821998213854,0.48666227158285996,0.4913971062712686,0.5657027227597977,0.546541643521729,0.520094543002765,0.592782237765526,0.5549955688358713,0.6289058420145951,0.5736469839913605,0.7080785760178956,0.6044127328315277,0.5900358155413797,0.7044807349008588,0.530786402820429,0.6182224785538268,0.5806258488205811,0.8176443610210138,0.7017454692640561,0.6089749837146633,0.5954723990078445,0.5803156548933872,0.6126627976658311,0.5673641271776494,0.6014129659236733,0.6127778086259896,0.5923469552990547,0.6224673618972119,0.6751338847089711,1.1074553341433357,1.8329747588380323,1.2055868778840033,0.8925651814029393,0.7147356379540762,0.7462395256822019,0.6965000483183981,0.7442253924712993,0.6051133259570813,0.6402792748873402,0.550359218162302,0.6014916704108024,0.7314955252067632,0.6527271939364426,0.5892794169883478,0.9563616238844946,0.8563063329716856,0.9183333780400705,0.6027725129533483,0.5892853219342298,0.5874014867158559,0.6349476071846002,0.6772114376982419,0.7191985562507145,0.7261863187216756,1.0050654806565642,0.758788878908652,0.8530151305310619,0.7980756643017041,0.6585987544494232,0.6505351624377815,0.6439140895025159,0.6410957679648018,0.6858341678152631,0.654506743249447,0.9090602859872093,1.4390915134854412,0.8353005689363876,1.2098794856978923,1.4874891922098117,0.8380397278635098,0.7337422037484985,0.6290946921384628,0.5923094033774768,0.675764147270528,0.558154511566956,0.5768777173243013,0.6278513089474332,0.5865869198660693,0.6306393106782899,0.5592827387834657,0.5686006581254547,0.6403670115167369,0.6234617651951068,0.6231122833336792,0.617983835595625,0.6881424728224066,0.6671708135845867,0.7401060262481461,0.7783936149356163,0.7867767899991743,0.9857598133582366,0.9463866137325553,1.034401108028776,1.0955552784305524,0.884799376818118,0.7664389960977356,0.8156633125992901,0.7685326655277007,2.395227864832812,1.1439383854478709,1.5928066483657375,0.860018694128922,0.9043112612690838,0.9286117125364659,1.0274950901104996,0.802889426283778,0.6838719593534524,0.9414429629715048,0.8164704356390594,0.8827364055647001,0.7350190390231423,1.1044250551522954,0.6622645221493844,0.7362890164679864,0.8567129665712807,0.5978739863171905,0.6605772880293636,0.7753909267290267,0.8945726906318185,0.9923537800587482,1.1813173961324752,1.0262236288172715,0.9269427442171099,0.9520325539774198,1.182322113131484,0.9471753471404858,0.8099698033196673,0.9666235612403398,0.9747658081385858,0.7694763342381645,0.875415527410448,1.040899546363918,0.8914402307241148,0.8557388792279663,0.9014493266908779,0.815595839486567,0.8298498165318321,0.8020058939338858,0.8049091233399541,0.7797506581243063,0.6861945381008615,0.7448148588139263,0.6895028129025272,0.6972645779617545,0.638918223378293,0.6885919091826649,0.7313005398356281,0.7116964861981406,0.6452538511848186,0.7100178106359689,0.8597345322102448,0.832311754838826,0.811011950039709,0.9127106975136792,1.0854201503242922,1.1545842098994816,0.9003838088563774,0.7835565167675232,0.7546213014670611,0.9616579344246173,0.8511150576692508,0.8631162856185859,0.8474493355488921,0.6809077360722041,0.5879766633788007,0.5563604850293363,0.5277331482197578,0.5300926790422393,0.6598548051515248,0.9368879763517929,1.6134346992609239,0.6050976758907204,0.76482242512358,1.055027793982182,0.8067344892020839,0.7141840406234717,1.0371407002297464,1.7549182174200695,3.261669624288212,4.467459746906096,5.84015779028596],[0.8228256962182663,0.7119787218799088,0.8163356733553664,0.6301562082087905,0.7228038849311265,0.7819202118964848,0.7745223486702869,0.908682808296486,0.8313952905512577,0.8465102537402279,0.9438909471370664,1.0628316775162945,1.0136836324686118,0.9298731155234644,1.1059731603622778,1.135948152379228,1.0486570526715273,1.1280587985668846,1.1408512521421497,1.1260097671993452,1.1641934642928768,1.1688675271451758,1.2798042132273206,1.2688752269289614,1.1331441936544824,1.090883682720303,1.0423594526884419,1.01432455048794,1.0815376430461567,1.1361170040562123,1.2631785418800037,1.2708038789616625,1.4308425481502467,1.4119314272422792,1.3199161253974687,1.2333475635662194,1.2336550426835615,1.1409814089906454,1.0888463379381697,1.1634647988099327,1.0373005855203252,1.1387590666708072,1.2200091912257454,1.1725534346480386,1.2049338230723579,1.3468190822266966,1.4242600458487236,1.1794197386470162,1.2105800540007339,1.1614910061345083,1.2366455542109707,2.510835726401788,2.1954169808037585,1.4635142548175797,1.445103860263904,1.7276823759301505,1.670142235202512,1.6413606774388718,1.8728177559224508,1.4246335542207045,1.3501765551036273,1.4063531014813553,1.408643136713984,1.5322845802927643,1.3243121218995384,1.2961482568234757,1.402574393469042,1.2862995134118809,1.346535000373201,1.2567372569109987,1.3288504415823938,1.7291919466263659,1.4083768587994954,1.4604948614873252,1.349050637194455,1.9858793234025043,1.3696397699599963,1.4266057962244558,1.3645799449263478,1.3791737690583867,1.304699831490948,1.7369485834034735,2.2085875243795408,1.5562406026267859,1.2352436375462328,1.2299404928603406,1.2104556407098805,1.3170970694714605,1.2641049864666007,1.3735321254333572,1.3712717001013623,1.5266198986575052,1.4227029523701729,1.401167757893365,1.2992101782813603,1.3329381406554799,1.2949992356202222,1.3354742621204723,1.2931005936593132,1.3720163344083507,1.301841734136513,1.2602906087611059,1.2256840137642586,1.1823454083074874,1.1770025289783752,1.066966073873997,1.1904395094889377,0.9794704457732524,0.9210894971552659,1.10702605906609,0.8882086106647131,0.8891804026477621,0.8641578552140535,0.8932700498771533,0.9152881139202569,0.8846472860271836,0.9547767520048102,0.9318568479528965,1.0079189670933413,1.0381373236037068,0.9528720100400091,0.9277055545674471,0.8352166483279374,0.7586382074471629,0.750889757543827,0.7817094477371286,0.8623664262990728,0.8251357735011348,0.8407900631094348,0.916032913846546,0.8454756991298147,0.9161164860922798,0.8856037489214598,1.011479582711807,0.8744958845722759,0.8440014944792275,0.8806041197781329,0.7889766546058775,0.8799124018341321,0.8924224370377681,1.1051028724190732,0.9960392634020637,0.9488540774546058,0.9298732363091629,0.9681677972003894,1.0182802797586035,0.9378391075798288,0.9866649370198489,1.0098542019005643,0.9713983035238712,0.9919978417660614,1.045743001061651,1.3719292453194112,1.966483604164196,1.4524385533353272,1.2550334327272323,1.1344161630793503,1.1497440316548249,1.1282404847456406,1.1155371494290915,0.9918721906255087,1.063689946374185,0.9378951703012577,1.04580339296525,1.1082208121293753,0.9806001336110874,0.905849707682068,1.1965932543461888,1.0400713334694782,1.0864061564523702,0.8397722119335866,0.8577896347128573,0.9443609601181597,1.0265151424999004,1.1106444139166816,1.165650420532602,1.2007492711919434,1.4709031338502805,1.2496541948934339,1.3154575476922914,1.1462730688095892,1.038186205839038,1.025136406316027,1.0187252537141993,0.9958072913169514,1.0739724587430748,1.0922763617800206,1.240476175651066,1.5967315519038245,1.1506029585890403,1.5295689591625445,1.641007808077549,1.02641001481589,0.9603043872753456,0.906342080615288,0.8848375983966101,0.9542147882735448,0.8631094636243536,0.8409843175227841,0.9018701082247714,0.9020964131869162,0.9515833703141383,0.8796382535248156,0.8618489496417432,0.9438822377118842,0.9213256916338513,0.8705420785805729,0.9133897659565374,1.0005192990615235,0.9375558032195528,0.9812629206826642,1.0418735698207664,1.0410596905557554,1.1149983614435546,1.1375433723941144,1.195840488806547,1.2664519755994832,1.0855353998718322,1.0110296821320373,1.076557376208147,1.0371937970253462,2.377612480482796,1.4011958907294895,1.8381140589956284,1.1454858905330714,1.1971930793576149,1.1975631636945943,1.3238248861415502,1.0888639520149594,1.00212770702415,1.2027994762181804,1.0853390957430238,1.129332811450945,1.0080742216606469,1.2818508624276426,0.9064685976489921,0.9364105815503142,1.0574265771059295,0.8638717902108142,0.9564962957615676,1.0671827207828208,1.1958423011189272,1.2862574758555054,1.4934190026235994,1.3020776656412718,1.222945899675552,1.291251174132531,1.4814621749613406,1.2669060996934653,1.140360820749908,1.2808792793777282,1.2821652736050437,1.0985895693267917,1.2131245671072552,1.364025047656582,1.207105513023074,1.1644165817739622,1.2442848827839572,1.1439258450011682,1.1588919874187116,1.1311121216582607,1.1317181390561852,1.1172441188693754,0.9938185871580013,1.0390941054333613,0.9941150332253424,0.9714896845700342,0.9091122750096214,0.9574170112788764,0.9682657343113978,0.950028983982294,0.8833335020235822,0.955029566436769,1.092341254466803,1.032561324314746,1.009208597481622,1.0932210679560939,1.2054195884488152,1.3143312348754024,1.070807117610292,0.956098473704235,0.9224110266648108,1.0601331498366582,0.9771224251658892,0.996308917705154,1.0042926305189463,0.8490251686377414,0.7954374119070928,0.8216057332882997,0.8024798627402899,0.806835078075332,0.9629384762245364,1.2122723096764287,1.7118601860878833,0.917722551282439,1.048739112674718,1.307782681401828,1.0315073780409583,0.9473452800341032,1.298791890098517,1.8706608625358634,3.0933365598442855,4.158666176246204,5.497760705180468],[0.6118893624495376,0.43498367976313596,0.5458567122184006,0.3918368739642831,0.3968046264051912,0.466103700829584,0.3689312211779253,0.4582219937494949,0.4005238137728895,0.398302147635515,0.4822431579963598,0.585863421210682,0.5087689328959132,0.4445601071565776,0.5952321541919419,0.6029433365917237,0.5636274882392804,0.6142569790036223,0.658613260534083,0.6299803300506127,0.6964964241494846,0.6821991089745503,0.8512398746314638,0.9096174464064299,0.742495513702501,0.6833491886261479,0.5462788545887988,0.5353974321768081,0.5612040604066225,0.5905766256109991,0.7258320232424125,0.7370802190261072,0.9021363038337133,0.8643831338635789,0.7684085232620107,0.668240437262337,0.6721643378104128,0.5888666328547654,0.5318129541350239,0.5838408462349386,0.5118801784399648,0.6210784435433697,0.6812147110989663,0.697343896371278,0.8767191697453559,1.1942374398149647,1.2985851302806928,0.7531707488555169,0.8287104101160561,0.885308228991458,0.8269981227900622,2.375097108365852,2.026514544794479,1.083631460018106,0.9948341336956662,1.3512358215925608,1.3034937872551577,1.233735107210202,1.4620851003284145,0.9317946688263988,0.8719266623644953,0.9134210872308847,0.8952575534944146,1.123054244410778,0.7978640160124514,0.7735977081670707,0.9473201096415123,0.7692745678388597,0.9433628189193324,0.7930812226512954,0.9652955403298228,1.405736772078564,0.9976025195711257,1.0403235480264492,0.8586055464744098,1.6465594769753937,0.8356198852927034,0.8822162059141418,0.7753477715714343,0.7968473893885354,0.7733470617679706,1.5633597261302714,2.0252617932167745,1.0198978916616086,0.7126200582183433,0.6979254700416664,0.6575124999602378,0.7609679058157642,0.706449808656128,0.8375269362674468,0.817053310199899,1.043244424429851,0.9061311118980109,0.8722986670742903,0.7767576973892335,0.8331759127373943,0.8027422674988987,0.8005350368765748,0.7612076443690129,0.9637833180386624,0.7817332907838981,0.7582143478641866,0.690203208733925,0.7088460873562837,0.6956966364605043,0.5991101139339078,0.8352177863100455,0.5300996339772629,0.5520804133572402,0.7866228528490649,0.47785782020831147,0.41375961293179064,0.39780979128572486,0.45064347892027246,0.479238601215313,0.49009258865908245,0.5229487710791468,0.5413272469839547,0.6870316526113045,0.6011647742443365,0.5556071217869383,0.5385861437325143,0.525975682722882,0.426005729694853,0.38845830237007145,0.3899460215544465,0.4895072212536016,0.4464720484850009,0.40416419302820183,0.46173343469554173,0.4485114086129116,0.5017068101147524,0.4479322826904301,0.586788027209235,0.48687287432376586,0.5080435307285159,0.7494945834602713,0.4409603656480434,0.5288388042319095,0.5054738560650486,0.824350905168459,0.7223804560494154,0.5753231907732418,0.5384085346880585,0.504505064030343,0.5198693205640932,0.467177523460633,0.49249478501057403,0.4800378094827955,0.48206833125311843,0.5142288844298339,0.5810162337203488,1.0786240923136674,1.7697039135494215,1.1388654579001203,0.8136267561119941,0.6198634369651891,0.6502786183555893,0.5972791109874959,0.6347638529382674,0.47568886792272635,0.5269890480389603,0.43396498149290097,0.48783423583698937,0.6728376817190327,0.5744961190237886,0.5743650249685924,1.059254141884805,0.9373389331864193,0.971005691405542,0.5465593930305963,0.49558638089942153,0.48224619409732916,0.4993963527955532,0.5461330282803846,0.6134054478747594,0.6265663916238585,0.9306878591996769,0.6466370898984128,0.7470394335270081,0.6824510977135343,0.5237230708904006,0.5057946872118462,0.5070998068117086,0.518593951911654,0.5542461585291598,0.5431496488357912,0.8411593056118277,1.438980808051535,0.9002176183438559,1.1364327401699765,1.333583868484706,0.7678152730814265,0.670237901111688,0.5102764098739792,0.5134988701087839,0.6414197400099539,0.4646652868018663,0.507280254572778,0.5365393756952711,0.5155508962003157,0.5594138020180497,0.4859517291993304,0.49821620405507294,0.5687701569544052,0.5476614026778113,0.5862809378594744,0.5743560820650075,0.642152800731193,0.6050246891351355,0.689113163790954,0.7171414163869366,0.6939300287448148,0.8518496907428355,0.8847650665104532,0.9628405234104642,1.0639352108270481,0.8566144577257889,0.7378337675792007,0.7838845023910062,0.7504756976957068,2.282537813654025,1.1750821358529953,1.5684711298611733,0.7806232509607676,0.8137487009443609,0.867668404434554,0.9417199371573215,0.7301271382853765,0.6158530129939059,0.8776616558548843,0.7502893924800048,0.8783903190339105,0.6899471695698236,1.00168823807406,0.6299013924915047,0.7041595082949899,0.8375722101714542,0.5291345152221267,0.5860783157541783,0.7069701944087369,0.840691381999686,0.9284084513641645,1.1628226656939484,0.9917421664331298,0.8774525725236888,0.9236904787373736,1.143541873092599,0.9071131475797258,0.7581511503790002,0.9399856318177527,0.9613151556586694,0.7228699784964062,0.8462321427100956,1.0275569183242563,0.8546962952682923,0.7966713049839242,0.8637713741598647,0.7821771972475662,0.7969180813858412,0.7544623442822983,0.75726662791617,0.7425255204751634,0.6289805687555834,0.6600183739436147,0.6292810399177245,0.637807552888881,0.5504342016735224,0.62801353806474,0.6942240148252297,0.6804002616844408,0.6109478953590314,0.6930271766354926,0.9115619985384957,0.8451916315609488,0.8459344276922004,0.9757815675040832,1.1323611774825588,1.1781415293533417,0.9427869129182047,0.7470628582821288,0.709402556926459,0.9548296882119972,0.890074068318054,0.9150302925142934,0.861003514472313,0.678560143530023,0.5447269551489601,0.48798811036757417,0.46887521061539783,0.5016118116139555,0.5685966900625044,0.8609266700149556,1.5712210764683645,0.5310109139181255,0.6713282332843709,0.9574140729379227,0.8209727184623875,0.5871869954271073,0.9304053223993533,1.4755805293540336,2.847349323544206,3.8266764311571113,5.048814564018691],[0.5939208594725766,0.4185614538070058,0.5013715461122638,0.36603345157633776,0.398387129982588,0.4184934040413133,0.3535706013242695,0.4191420195023145,0.36735883478967785,0.35192764230397466,0.4339252484360954,0.5534298065063733,0.46796492778365734,0.42801858344619237,0.5817936286922091,0.5940229376787249,0.5616995698137436,0.6302054677526684,0.7105277689319903,0.6566498623115768,0.698762642710702,0.6927765120138358,0.8928575712245539,0.9528014656433106,0.7905075785852069,0.7547448497583704,0.5806329356289152,0.5524611100546915,0.5745666875695825,0.6020153294852624,0.7419595539593119,0.7188450320912533,0.9111679440291794,0.8925663875401457,0.7794637021850107,0.7007861445106353,0.6833217232462744,0.6224409027522014,0.5501916257026743,0.6178656436459888,0.5258896869968932,0.6212890366797402,0.7065891747383927,0.6654586261704777,0.8662207988825803,1.160770418180456,1.2753711090741473,0.7323633796223422,0.7826646135166582,0.8329987598493299,0.7667772141155126,2.331308544999168,2.0067297231732124,1.052869519208765,0.9751961425853538,1.2800784245061276,1.2422742582614446,1.2050470675443699,1.3918122195655782,0.919284470716163,0.9616275174431353,0.9609225685902651,0.9396416030911419,1.188657624766886,0.861260520483721,0.8282450065220875,0.9548643364890935,0.7897607418740084,1.0060595163290433,0.8146032562582657,1.0014360770831867,1.4134615224706,1.018145075655687,1.1033673199390395,0.8980906249806461,1.7401938375023247,0.8879573706770137,0.9360566974908865,0.8246291226233893,0.8408090683989715,0.7822618837057281,1.4647711039796072,1.9394226959143965,1.0584033983126315,0.746734599761349,0.720960770227052,0.6844186736203626,0.7731630699584155,0.7428272154705166,0.8510728166381633,0.8476500299931421,1.1074621858667055,0.9469513985591145,0.8978210719536922,0.7818247173146121,0.8423860515156418,0.7473017127765113,0.7872282607301907,0.7253334711723453,0.9590421247404114,0.7535816572448464,0.7453294310482196,0.6631954582351497,0.678669751705255,0.6567821978302999,0.5792067307630709,0.7949244848638561,0.47621536671567993,0.490919772731958,0.711667132855413,0.41764242249514466,0.3718172555768992,0.36896820366934097,0.4346134818586558,0.4688229233806536,0.48128072766521535,0.5252388449604528,0.534147557046426,0.7098628872345525,0.6131019435884568,0.5685633491094048,0.525134659970355,0.5199751133354877,0.4187957927152042,0.4061527093838054,0.395338937179146,0.49987285646967133,0.4185123500590384,0.3792303765467456,0.4281102513583673,0.4265880033901469,0.4870077972848574,0.41020343123252867,0.5410612622078059,0.4415664939167777,0.4654657646148516,0.7319449323289209,0.4602086872001017,0.5142319450249626,0.49788166208925455,0.8213084030620642,0.7455650050756734,0.5999875044283502,0.5158135864552447,0.5092609831231094,0.5121930015607927,0.4627806145884481,0.47297905754445824,0.4551048696732417,0.4440085949236024,0.49338289262260526,0.572464033780684,1.0709140357698974,1.8275432429639071,1.180675179185294,0.8127779422778688,0.595433308151096,0.6340381690549294,0.5891222903523877,0.6173141706425085,0.47298775623509426,0.5233558556877567,0.43050254721276643,0.49793088838114435,0.6659400489164986,0.5715269446236846,0.5613140138750433,1.0839654175680509,0.9069850428546369,0.9245622621626872,0.5000441911410675,0.464984065216149,0.447695431864143,0.4770841541138739,0.521204908921617,0.5709440041251591,0.6081624025019423,0.9200190443335022,0.6196623304810879,0.7443850288606336,0.6589107408136669,0.4997524257184833,0.4887886555583948,0.4873560671074839,0.4899033599511444,0.5548876970983457,0.5358145962277479,0.8137397422761815,1.3534904643008865,0.8934271823664359,1.120491136810772,1.3646974044896203,0.7725530172894459,0.6665639826809518,0.48542549501393567,0.48984649717168954,0.6078912527134525,0.4294261201736898,0.47045632409239774,0.5237640343703717,0.4745455083084983,0.5209066853459642,0.4484494052945768,0.4698511704406816,0.5179586154412237,0.5033414946756286,0.5435738972712821,0.5223607097811515,0.5891535008408894,0.5556346294884678,0.6376862153944332,0.6674050000816882,0.649221231928285,0.7773266134525257,0.8180553480068599,0.9123061034697244,1.0250057842833624,0.8066422593856161,0.6831197131638824,0.7275518616439972,0.7010792103898406,2.21595458155542,1.1566922592232132,1.533694209818088,0.7311607478553541,0.763333135342307,0.8214726016669501,0.8992444153019833,0.681108997971986,0.5628701495761668,0.8329697855364356,0.7162761625705995,0.8378989695229705,0.6421416272497378,0.9713643812942802,0.6296653227091533,0.6999673328437603,0.873988978230257,0.5108140108835243,0.5526902193369964,0.6569156295642198,0.8001668029933691,0.8930188074454768,1.1271709603857976,0.9515076980014945,0.8419296723432248,0.8801512190513328,1.1267310603148704,0.8688481781344826,0.7092878722123022,0.9010559347816303,0.929573273982936,0.685209016473154,0.8071940956722417,1.0031231711201292,0.8322865598930901,0.7490287050205207,0.821149417022186,0.7321179318892298,0.7473349200390028,0.6977420160804814,0.7002865342747534,0.6924944368359005,0.5693379582625483,0.6053907417532991,0.5735959872065702,0.587745660003065,0.5082984553654112,0.5868297518474703,0.6647249363607857,0.6536360720304502,0.5939786413466382,0.6528926289663758,0.9154374537765866,0.8396525270545223,0.8419696984808055,0.9742357076897351,1.1380591331991097,1.1539604621983695,0.9196761218066167,0.7156353624943668,0.6728297755678551,0.9352195134629327,0.880911321747047,0.923978954931386,0.8656376333363042,0.6695459393969431,0.536982443894913,0.44471902760331783,0.4659084005834545,0.4820539289762487,0.5289418560137784,0.8224062753779011,1.526420610175007,0.4990229315811936,0.6418456607290922,0.9540585992449073,0.7882385060769734,0.5547858313939428,0.8822331313459911,1.4550415526958467,2.8965369217027095,3.883400609239172,5.102039770624329],[0.611253924373419,0.4442767669373609,0.5142648191620176,0.371752630218476,0.4027617986625266,0.4404293181596933,0.332138676843722,0.42161451809795125,0.3465756841390917,0.3222799508424938,0.39798679727790115,0.5246711672857707,0.4220741759567306,0.37341435138567386,0.5372868967335896,0.5326852924852206,0.5119686912140872,0.5664585263641458,0.6397299894653239,0.6001755399342208,0.6600037756718394,0.6406073804631687,0.8582238863580217,0.9325822383258053,0.769493350752482,0.705755730987764,0.5177343333679252,0.4926500776912912,0.5086420953501379,0.5415631050055222,0.6670747771100601,0.6529344214585711,0.8384997720856815,0.7982200127854208,0.6939602853786992,0.6138717718360351,0.6075280146758013,0.5424462814723064,0.46832222126344947,0.5112432588196558,0.4641510070139016,0.5504678862218767,0.6064501439504363,0.6543890098614412,0.8927619084058727,1.2185757961844628,1.3630477410189905,0.7576990200506881,0.8101909102057974,0.9066078163450487,0.8011765934960688,2.328902320670534,2.021664977346537,0.9937592306885504,0.931655649585859,1.216045118918282,1.1728672853092044,1.1044892290389619,1.3077419914740371,0.8325219581130759,0.8877766825884648,0.8808649201980268,0.8527236971866574,1.1161923161391876,0.7739232021433861,0.7484127359215502,0.9156954997714322,0.7289196793709651,0.9583939676006177,0.7626365703904239,0.9382765330376595,1.313083743294416,0.9603583601135011,1.0221258323644709,0.8271496874603957,1.6666796810490505,0.7933607740393621,0.8280633121468056,0.7130675139573226,0.7186096911528752,0.6949312956760366,1.55308980605909,1.96388034647735,0.9053264587412694,0.6666679038478703,0.6441442451906195,0.5824886221721884,0.6874433911022548,0.6373037574601743,0.7579470116699629,0.756936810645372,1.0298665656633434,0.8605118260425336,0.819234640891559,0.7185937373638245,0.7881805188556814,0.7146680083434506,0.7268433988604788,0.685657234813885,0.9183371610316726,0.7059291042782919,0.7089982428189872,0.6114039699440789,0.6397536795732949,0.6194346902630938,0.5562024216756348,0.7664763282614332,0.4666921664652652,0.5048055261032346,0.73936949670286,0.4208075688454274,0.34785728623208817,0.34102244878577165,0.40255669038283665,0.42405263078024563,0.4470926623463737,0.4781870729544527,0.5030272224886458,0.6796311568065483,0.569005078558892,0.5167609497270551,0.49011601276759303,0.4901927164721638,0.39704525066360247,0.3766600771023369,0.373588681664438,0.4504699659665777,0.40213244921892005,0.3645080468249786,0.41696251894927694,0.4276842210798415,0.4834000363850728,0.4076139581081214,0.5297619485243859,0.43558370162542803,0.4827877700656904,0.7527605911730822,0.45035933025649716,0.5068556581109981,0.49247925059340486,0.8235736444418493,0.7431343012705665,0.5624172037004675,0.4952096215007022,0.45527872023127186,0.45173509408119633,0.41025499115657654,0.41924073306891996,0.4017138912570315,0.40636926465300865,0.4711217813198792,0.5509869766940415,1.0443830265738756,1.783420375632089,1.146738718459731,0.7728294831395157,0.5655459058387112,0.5879232079485693,0.5308415871680207,0.5616495336234808,0.4230522540482606,0.44043625717163465,0.38172010604106077,0.4224130681857824,0.5981606825942197,0.5474833734164619,0.5878804134147602,1.130156894388008,0.9705889561493607,0.9666128552805939,0.5283471626237395,0.4694559251868062,0.42623766459641926,0.43466448029896976,0.4540692989311025,0.5212455539192822,0.554670029333805,0.8708801108136136,0.5458854100424554,0.6539513171156491,0.6435638350894812,0.45310958417023156,0.4376434060088428,0.4350397708712686,0.45195409873420656,0.496416849033984,0.4812040664897028,0.7993013274032359,1.4421185236295604,0.9643977266308826,1.1181403079830188,1.302702876991912,0.7902028074441408,0.6887687009090834,0.49069959152402615,0.5075523477369136,0.6141562928990089,0.4367829013853433,0.4713740934131055,0.5433718233080177,0.4861290035369314,0.5253620975803979,0.46096355380001475,0.48030350560966323,0.524412143534166,0.5164199182750743,0.5606688088823071,0.5429722490289819,0.6103803507459152,0.5675595476600712,0.6514645427610267,0.6873567539368038,0.6655277593085719,0.7710001042182445,0.8327785095636554,0.893017263115993,1.0452482592533185,0.8342616448748917,0.7167197953324937,0.7710955345048913,0.7618949822811518,2.1878851364891183,1.1957818349080263,1.5125119935259146,0.7499312592333435,0.7790979847902295,0.8299423841322572,0.8684844206516447,0.7141935747096423,0.5689017663465729,0.8109985898525796,0.6986990950322527,0.8574971434709758,0.6375312516725662,0.9354997071551823,0.6767984961461742,0.7347794510019472,0.8961562849074846,0.525216030975856,0.5547959477285485,0.6381923445692409,0.7688942826950799,0.8455777523084995,1.099528790770716,0.9222142735880694,0.8076127202532493,0.868157750483305,1.1066610247502406,0.8680818180869353,0.7068778326960813,0.9044698061382718,0.9470870538504705,0.7004929816500203,0.8142064195455009,1.015170551234933,0.861327298547282,0.7721229678328787,0.845358692202575,0.7572808559411616,0.7645806133396319,0.6984496679285555,0.7059802720924815,0.7160190553827959,0.5953321436339761,0.6137165941710766,0.6160184368330021,0.6378005431556976,0.5243693633004544,0.608868066514027,0.7331820815057225,0.6858805857675505,0.6232396009418071,0.701594406478171,0.9362387279717606,0.8617007979840093,0.8705214383950406,1.0082043802918714,1.1502756295812897,1.1886378898718302,0.9436256053102813,0.7293524317647387,0.6814959111964773,0.94229160274238,0.9086636579934385,0.9556446766649137,0.8925841060067792,0.7010066803126611,0.5552481726612404,0.4524124613392255,0.4590494834111969,0.493047737927841,0.5318648862367134,0.8185816434429484,1.5708314801209462,0.5132608716174495,0.6378259489166891,0.9339537229560029,0.8528149733895615,0.5467740241072442,0.8387055365594551,1.31712541122276,2.7605940647110496,3.65250542321446,4.754628173997299],[0.7200742563396711,0.5709404911028498,0.5913516401749294,0.4666718441908066,0.4680239127423038,0.5232588291586969,0.4034201893132257,0.4700935788644915,0.39533210014899467,0.3636059919666502,0.44115347068149535,0.5424978204948128,0.4649838496360198,0.4161938452591402,0.5878499292435925,0.5594187062472769,0.5475285746231688,0.5966927020409428,0.6699354069119418,0.6354924292514855,0.7009444842703589,0.6733253563202654,0.8819097138253041,0.9443520585089952,0.7863237840783225,0.7097164307800907,0.5374432024136222,0.5167477726390095,0.5399924277533673,0.5702935917783837,0.7075396908747809,0.6942288394788286,0.856128065933704,0.8045875701803716,0.7124328646431289,0.6350531894298069,0.626313695312836,0.5625870457566988,0.501228553257641,0.5266061820790398,0.4820509105281003,0.5675117705766473,0.6050669812471868,0.70954464068794,0.9541045089880303,1.2840258840213468,1.4390679985026509,0.8115693420088728,0.9086485691269748,0.9988741807503971,0.9017241568279178,2.3901458470337626,2.072272418562069,1.0293779019556002,0.9484576381649968,1.2456835208070793,1.187030865162687,1.1081364312574349,1.3370270601423924,0.8655606329391307,0.8926477631848421,0.8943181093630447,0.8744151527614218,1.1257538576481594,0.7897421029599333,0.7620994519471346,0.9495901390739777,0.7718971354137412,0.9709187928870342,0.8124976934094522,0.9748025620223153,1.3270947468227559,0.9990511817359407,1.0430049859908377,0.8733831552722479,1.6501901501317255,0.8123414248942579,0.854979962078664,0.7357118619518432,0.7369715073055111,0.7090664802806775,1.6702758078077269,2.033912047740682,0.8577320132871217,0.6195762178301839,0.6504235870804277,0.600646499880438,0.7051509837503197,0.6525888071608599,0.7732315245160994,0.7893365088910432,1.0445717802868049,0.8940657696286082,0.8386206351900933,0.7563579840937732,0.819685831740311,0.7645437733703141,0.7498884554410751,0.7154102055686302,0.9537290600430571,0.7383720739439555,0.748288990339646,0.6509825954488918,0.674773920375858,0.6694491161903173,0.6000611739920757,0.8096764195352216,0.5244948849750846,0.5564516256668222,0.778071637097131,0.49096139915720405,0.40912029419769547,0.4055387718099505,0.44097432884569093,0.44858453949594457,0.4515922172924223,0.5002621600134283,0.5158579751719871,0.6951990716671517,0.6122179485855541,0.5473385189410326,0.5205089077081252,0.473997459732863,0.4023296708488382,0.39915309559039736,0.4173558738562471,0.46295015687549285,0.4509310525084513,0.42314750281115643,0.49174894580985323,0.4850077009818414,0.5354382059843894,0.47391736006136564,0.5684273714397148,0.49689704616270486,0.5601527026908895,0.7616106633664734,0.45916155535888414,0.5215104972157182,0.5005119908095187,0.8064481989412408,0.760793405442931,0.5902747917761059,0.5153197102646331,0.4699890435514362,0.48765364570113134,0.43399533219117925,0.4604502465112976,0.4361151024790539,0.458110847252693,0.5121811623784047,0.5658458408192701,1.0636605280336981,1.7183400304115302,1.1325784948554087,0.8018212731076845,0.6011857710501189,0.6275661582277006,0.5641478392686179,0.5816252299566693,0.4303651697645976,0.4679392290058525,0.41807587556418074,0.42089023240337176,0.5488870371817812,0.5926984759977868,0.6124623720458153,1.1702369517936522,1.017565269739227,1.006631901960227,0.5582500196164238,0.49774669760190343,0.4267207157889638,0.4788660685611506,0.4766544436828755,0.5618322433371096,0.5778367213613208,0.8796304090289804,0.566623731706841,0.657216739033584,0.7417643421688926,0.48051880491331905,0.46567785589756566,0.472526919879533,0.5005054945373684,0.5351348080372677,0.5127671156759405,0.8233932654404122,1.517727056448985,1.0194384159514154,1.159380693200948,1.2895663045039427,0.8420480108547315,0.7465919255984668,0.5500199996843608,0.5695506668689193,0.6594851732257089,0.5056600924844363,0.5382494203943927,0.6020357685846728,0.5848264793179971,0.6069134934840351,0.5322804285233826,0.5760508610255132,0.6293224518400167,0.6141704199006117,0.6538536763431774,0.6565619681922804,0.724456989909689,0.663189103377213,0.750540251005721,0.7941209566690064,0.764901980671243,0.8377854293628549,0.9201213561903838,0.9406407565608099,1.1465692604928617,0.9363376886200134,0.8277641849889954,0.8975202053392497,0.9042353396056724,2.1978302202697013,1.3569767000061668,1.5680110301811772,0.8209834822842658,0.818132551437905,0.8669209140795728,0.8889588425193318,0.8165189654905717,0.6766587922853934,0.8785150856478903,0.7885931580203774,0.9849624502207424,0.7538174494348665,0.9694768566324266,0.7931146380832274,0.8181788656633431,0.9667513618272217,0.6336272153237291,0.6124413966694567,0.6959971397131586,0.8097133622242005,0.8570318574237812,1.1302573688431745,0.9624208982003083,0.8400917192867673,0.9386383583603091,1.1734121155960042,0.9389599064156637,0.8017925894041031,0.998709206704527,1.0420907646945914,0.8135112404036463,0.9249495421934892,1.1123237638275796,0.9625670433675616,0.8905223051307152,0.9685532664924321,0.8759110086551273,0.8846195577594061,0.8039903522628009,0.8066114177764119,0.8434941422968176,0.7161354770429952,0.7078468353296697,0.7403149217141091,0.752930789501619,0.624922012562021,0.7045350040615548,0.8366796019231744,0.7829689153572439,0.727885177297202,0.8144181047082559,1.0176062520598612,0.9432309790936585,0.9552471891272055,1.1090310778255612,1.2056220357264626,1.3028179343903492,1.0234916296468424,0.8153784986213475,0.7681059304700504,1.0049000169828917,0.9781223584207162,1.0282447668676877,0.942456236518858,0.7656207914854366,0.6140536157373407,0.5266369530905637,0.4956115907821746,0.5397199569680674,0.6139869369272832,0.9118391364562501,1.5767506297984877,0.6048754804773601,0.720506333800314,0.999053114850558,0.9619755824776274,0.6213071033015249,0.8690952479318372,1.2161976218204276,2.5465857355998494,3.3140496938831907,4.332169914217508],[0.537292057390789,0.411131801764843,0.431420211053435,0.36351930458634824,0.44018923895163214,0.4388943738224827,0.3315611682815023,0.4100182343052056,0.3437047617239486,0.35809745525811437,0.4208322911089994,0.5064826899181694,0.41983914048900683,0.39766254604181633,0.5314195081296615,0.49786993715662015,0.52170568635509,0.5844058348813101,0.6512439930590809,0.6189471446302709,0.7151049969116269,0.6823330000287054,0.873151562289284,1.0194661153690594,0.8284893211753623,0.7399132532809027,0.5441581546940378,0.520573184920852,0.5131421499242268,0.5191421411284053,0.6336677965136118,0.6054341772760747,0.7474677336539288,0.7294916980813043,0.6119938247885854,0.5683688067754398,0.5355300253414497,0.5239831535698354,0.47389761181691975,0.47353192828814705,0.5055608863543355,0.5642728990385268,0.5731191003095517,0.7813988953781096,1.0277218602165414,1.3540457127116916,1.5479327650372037,0.9291540996647649,0.9732789669700341,1.0872708567207197,0.9846398342983582,2.361110862618275,2.1276563152959396,1.0111128050627156,0.971933911885448,1.1799508188730543,1.150079433914626,1.048354142761679,1.2447703438907654,0.8198259457347344,0.9162057763648043,0.8567788073799668,0.8213868341481645,1.1205707929975048,0.7806837966689847,0.7178983339613784,0.93221251932576,0.7419218289103948,0.9663629846223486,0.7924457382107428,0.9351438242639627,1.284680683668579,0.9850232971440308,1.0139771248034675,0.8381968963511625,1.5808884911063175,0.7611979215781479,0.7701152719405029,0.6557911097796166,0.6580925225513423,0.6216133187294215,1.7345803687175274,2.038140403786599,0.6963594924357037,0.5790159490028055,0.5679822436016339,0.5228568030206912,0.5921625282014095,0.5841400739995268,0.6981526392228009,0.7091701386466093,1.004832394530198,0.8175910754372583,0.7622602196641975,0.685550462992334,0.764051040853199,0.686446030196431,0.6676623412354158,0.6248516580503295,0.870993836639645,0.6254823114401817,0.6472992319128817,0.5395577827531437,0.5745808303223264,0.5657814646108824,0.5244285065351197,0.7452677194427227,0.4529333067521013,0.5087701587597662,0.7981343044436179,0.4365443998549855,0.3544899843875927,0.3432308282950864,0.40586734119991436,0.4145026824890377,0.45147489391306656,0.5023736465314836,0.5599214523929145,0.7309020738286882,0.6203088545325253,0.5754465262653963,0.5270498668551441,0.5292342197442788,0.4090762690172888,0.37326151065749885,0.4058624984527591,0.4124789823069235,0.395660937915669,0.35708697203496603,0.444151165284429,0.46373165181851583,0.48515945507022107,0.455222860370286,0.5028293460759331,0.49034143873513475,0.5709294721596867,0.7603811849643789,0.5027843637917296,0.553748087523939,0.5456997699174658,0.8764580979830835,0.8360415114010737,0.6302562230494438,0.5500478822634267,0.49660931815127285,0.4733655057095174,0.4321354402960775,0.43237488929175194,0.3788676641331095,0.3936372451317963,0.4385361196159904,0.5134751668569978,0.9904526227300661,1.7597090671408764,1.1615770624593305,0.7155762306928662,0.5151489010687216,0.5322056898430418,0.4790031054100433,0.49237980901749157,0.41817207789391897,0.4376904946990352,0.44832176003984603,0.4332267457282195,0.5470071354947202,0.6395966641579237,0.718731125264398,1.3067665925728715,1.0975423915591374,1.0641685780035794,0.6155204801379139,0.5434562027072966,0.45096837327497474,0.4625797350767745,0.4286743800509509,0.4693883997696008,0.49874976905492735,0.7931340645852604,0.4958499008637366,0.5761055153698649,0.7590381674966911,0.40789288417668396,0.4055567633010049,0.43741626304567277,0.46971282380788626,0.5377646344426729,0.5544653666417486,0.8825493707532985,1.561137508701647,1.1131494362709156,1.210832392029977,1.261028625604111,0.8967222484901816,0.7888997160770951,0.5813704499294311,0.5802004472541282,0.637704160597487,0.4632823861902359,0.48232774910797543,0.5328868601587728,0.45049243991134197,0.495619640755672,0.445989227651609,0.4636782920318421,0.4962004077786391,0.4936596448896049,0.5219875291458507,0.5238497253109252,0.623917045446249,0.546658994448434,0.6105618061398479,0.6609396048235184,0.6577589854477608,0.7184090163637294,0.7836519426730792,0.8084770802478879,1.0824921589023844,0.814380879478856,0.6601027620940177,0.7462657233651454,0.7479716411427224,2.014070932658682,1.1100714620087588,1.4001909031730275,0.6850194478070978,0.7142709528937065,0.80867101886772,0.7876184515349931,0.7253486597117971,0.5546421277831706,0.8014462604517926,0.6950253237472984,0.8623675508776208,0.6325857315947545,0.8524784649744594,0.7604843824224045,0.7608222578126709,0.8971502789620085,0.5229910651111491,0.5227564252288923,0.5953789842676714,0.7006952555196306,0.7961865134902537,1.0515671989975748,0.8779781015268167,0.7700264826863688,0.8436179704783107,1.0628600160875377,0.8636906180628244,0.727867156393385,0.9331399622270253,1.00645580749722,0.742877792450072,0.8570676431460797,1.0895156885320956,0.97095366833482,0.810970949824498,0.8817021541287788,0.7721919588657727,0.7721113084283766,0.6947418009017255,0.688399477533835,0.7102533980653922,0.5828423603528977,0.5870542905156801,0.597888169054709,0.6150994825589676,0.519514852242503,0.5821381098036207,0.7546894686826049,0.6819267690917764,0.6622025429873389,0.716626400140628,0.9869511050722759,0.8870274773187727,0.8821996999330926,1.029986115006284,1.1355689537355824,1.2164311827680967,0.9095908361225733,0.6882025819042608,0.6187291528177683,0.9039199482094703,0.888166632401721,0.9514146782426034,0.888324534738512,0.686472312968404,0.519958214401453,0.45588127469556844,0.4615525407503277,0.44139625719955733,0.5103187521338024,0.7595394704927124,1.580450343110454,0.5410372189591447,0.5774031393226775,0.905795595131762,0.9576848252698992,0.4818495682197096,0.6929768713823865,1.0674703305578381,2.559603069161874,3.325443854138197,4.259035665570104],[0.582715729707963,0.4678124287804297,0.4754116603539906,0.40761539405782127,0.4838283225779513,0.4367011604410837,0.3722882916251282,0.47444832216484245,0.3775448639395398,0.3735626195841338,0.419780562407341,0.503564510376256,0.41760680017551893,0.4152939613591519,0.5178100548549808,0.4840044614290752,0.49581116460425767,0.5701180916827949,0.6578032351309914,0.6150216091215374,0.7265590533542167,0.7085167120113726,0.8611839874590647,1.037738065006962,0.819359858735354,0.7160667896148039,0.5485526137039609,0.5245815847487617,0.5061129462668265,0.48319653877999674,0.610640689592156,0.5836258239219435,0.7093439017528091,0.6695203572264363,0.5698220051006301,0.536543207541214,0.5132954140892751,0.5018311178003139,0.47420846340021816,0.47202364787906453,0.5205888965812826,0.5702819719970914,0.5558695656928871,0.8609889120249123,1.094121658294789,1.4301200962326799,1.6401914774339712,1.005080125911802,1.0465809172280252,1.1768787173273796,1.102639287350012,2.378118895816108,2.137385052683952,1.017579750772304,1.049843553847659,1.2007841359133877,1.1191894355421939,1.0053302525264234,1.237124520015181,0.7786384102591462,0.8765298511057905,0.8196826490452664,0.7688769961151776,1.0729490140115197,0.7606017864129164,0.6848814528580569,0.9347301216272004,0.7351229638463678,0.9352706494558621,0.8083867702117135,0.9494968078096822,1.3177766357192067,1.004389786144447,1.0293341458511587,0.8206674430499109,1.5307049211572976,0.7220641510219223,0.7146530663742342,0.603714932072526,0.625661178707874,0.5795563680998047,1.832715941031449,2.092334577252389,0.6454426459616492,0.5818899815678138,0.553513925286759,0.49835308223086394,0.5488347739394877,0.545312451224818,0.65225868698055,0.6615818086142882,0.9560455421934376,0.7887131248860981,0.7188005152394416,0.6571109532534313,0.7394272003508033,0.6770883860184818,0.6392195700553769,0.6091201055425631,0.8559442982151508,0.6147477809685877,0.6726213732853045,0.5411998120358148,0.6220032374860949,0.6071161036825862,0.5920990842146404,0.833807062757969,0.5501832791804653,0.6025822531934434,0.8322361863849825,0.5231391571054581,0.416151863404474,0.3921935800054175,0.4426001864536508,0.4393664125186566,0.4787879084957955,0.5218767168567555,0.567720061943014,0.729008136296055,0.6275035382980705,0.5856927550106871,0.5131580412661707,0.5646436987914873,0.45763637463006746,0.41622054782674056,0.4506987034887487,0.4551909274509417,0.4586695106715628,0.43122900708521605,0.49653218476349587,0.4967199328830401,0.5136322995638692,0.502652102663691,0.5653883156880692,0.5353168122141512,0.6431217043042906,0.8295003384298447,0.5832133840377642,0.5964816131761562,0.5812409963685595,0.8757301031290742,0.8522938726483095,0.6313424527096482,0.5324261232422229,0.4944373146188169,0.454574358061259,0.43322550961238826,0.4259591759931093,0.41454075351296255,0.432519362498623,0.5154119990470893,0.5383245629673812,0.9758137858502186,1.6780820900321947,1.124264755030248,0.6952220330469713,0.5350723931733282,0.571300214047024,0.49161931866935715,0.5344944288541497,0.42841677804720735,0.41431754035634305,0.4509724760886108,0.42243509684481184,0.5863042536667451,0.6881685336688064,0.7705406163431783,1.3363897505846871,1.1572842035820587,1.1190860672663945,0.6616729301149213,0.601927783669109,0.49536576884194294,0.4744810415838221,0.42893229524862336,0.48504738303500955,0.5057624407741307,0.7859100770019504,0.47999501825218654,0.5587475668419984,0.7393253741605866,0.4573382812692317,0.4520568248285254,0.5005580268631976,0.5365704020637625,0.5715623726478714,0.5907833669305834,0.946369272195953,1.636914574837084,1.247493575343169,1.2678601970501893,1.250428091189852,0.9558871396855653,0.8483591886734492,0.623950027433729,0.6286466775600604,0.6875934846055274,0.5113272653063293,0.5360482318646755,0.5536089899130536,0.5332926559704394,0.5859927187857212,0.5197196696853209,0.536254896441906,0.585103696195748,0.5865725406860967,0.5682895336938879,0.6024223322924257,0.7257622693172643,0.6257970081933093,0.6707925771904075,0.7362930522063719,0.7641112366351086,0.7545755491540294,0.8222281160531661,0.8100100151792519,1.12925489081551,0.8531014090449286,0.7210593762354515,0.8155140093083038,0.8453792256962027,2.0158992613411795,1.1952937163933475,1.3836243769141703,0.7632976307139668,0.7770988139596382,0.8889342840741629,0.8401177301522066,0.8128700152198264,0.6357375895359035,0.8623216294031747,0.7310777694428305,0.8990691814933233,0.6735649418123143,0.8312988878162809,0.8305060835063407,0.8026185641188875,0.9303148555581642,0.5857868977039397,0.5814233052819143,0.657082286468392,0.7536043218720538,0.8505099054849615,1.1182609633130398,0.9690737059960303,0.8362258433605396,0.9422259483186987,1.1376670145513448,0.9645102060828984,0.8256956310677276,1.0331263873911183,1.103615911550011,0.8482741713173115,0.9716552069987763,1.208766622516637,1.1005359180373802,0.9431465134400844,1.0207752715920766,0.8901892799522786,0.8922498427029536,0.8111765679290676,0.7975086996076389,0.8129226957495378,0.6873445255701737,0.6827721149736433,0.6975247940221381,0.6991143306637078,0.5912364566675488,0.664602414907044,0.8041368728940411,0.7147152144896294,0.7321685255625058,0.7834769802395074,1.0262523907359864,0.9128732877659732,0.9070618097044048,1.0747023407664114,1.1579888514175856,1.2711014338592677,0.9450624147697251,0.7153353381958503,0.6387402642086,0.919815651897866,0.9202123454589252,0.9857104262024148,0.9083198365885669,0.7154176761751467,0.5479144891803829,0.5052278800800614,0.4978100108911192,0.5300277261700466,0.5595799094149069,0.7452055341148484,1.5585340850150422,0.5891703350143828,0.5891032606032254,0.8553203399371437,1.0157414693010638,0.4960554046355621,0.6926439520918041,0.9589415674554507,2.2264210207426043,2.9739550135066115,3.900123851915899],[0.8096409590795954,0.7540419969552876,0.8220801178704453,0.7842980491898334,0.8758815673073775,0.9174092475815719,0.9189195277498003,0.9486244559653728,0.9805120683414497,1.0555963954647334,1.1048800495871072,1.084966751138507,1.1091920876215664,1.1491882176179076,1.2338731020171112,1.2000370916597727,1.208401959154069,1.2602784603057404,1.292038972400017,1.2621187132402072,1.3992148719396413,1.3761896728891512,1.4595753153838924,1.5950999576971099,1.2938052622603142,1.2590626771253202,1.2015213546178651,1.1934455410522138,1.2168785806057665,1.193728068587307,1.315405772816673,1.2185441586899075,1.317545723772086,1.3152692338718812,1.2400220147382615,1.229399665491066,1.1839171496025318,1.1928362248485667,1.1532717772512961,1.1499825586501398,1.1933963917012542,1.2352807886965,1.2275535861594746,1.4665550921975308,1.6435621460605983,1.9318276678570518,2.153333520772946,1.5838714657595854,1.6289131440162175,1.690606270614523,1.682012025830817,2.7566424548535444,2.6651881068722587,1.5782123782742448,1.4926887748635063,1.7368629152166803,1.6476455519030548,1.6052051944239867,1.7656885563166564,1.3779058711198808,1.3809671817278195,1.3573289234206876,1.3979627480915768,1.6397201538108914,1.3986820597348346,1.2858321441520242,1.4562384812912925,1.3755822041030341,1.4469550257423458,1.414614060377513,1.464987879517587,1.695435637712349,1.523350061453354,1.529038923975766,1.4447021487481304,1.9170452759010495,1.3750392600525072,1.3680062212073052,1.2849589665477876,1.3211031360577006,1.2812557138604066,2.33265630000897,2.4461645547317628,1.0841798428197433,1.1617043636020647,1.103758960930051,1.1826356603717998,1.2452973466087285,1.2579952856833743,1.312508213175407,1.3144435169024664,1.6144238580057826,1.4495056167590123,1.3846548351915071,1.3513360554695084,1.4161827367030027,1.3782043805405286,1.2896724618908828,1.199422698109685,1.245841081362275,1.168626553777444,1.0908630806039297,1.083021691520823,1.0461323418536033,1.0142419547779313,0.993382911980225,1.0899384604000764,0.9826277637589873,1.0062314958716996,1.2425442231914163,0.9622785727652318,0.9751985374786355,0.9715428212039758,1.038777658781005,1.0999052213184495,1.0988474610631318,1.1609949441621388,1.1900555267299613,1.3208176618429295,1.2740839533771788,1.2298858658647107,1.1909251297847168,1.152564496991365,1.0662732635243435,1.0105943880166668,1.005512652128084,0.9073534289023637,0.9546273747050104,0.896295831759555,0.9836581725864251,0.9532476421954393,0.9128689271364538,0.9924478253847289,0.9864413125721766,1.0533634616645042,1.1721309916333198,1.1788477243938664,1.0683183751711822,1.0823090839133096,1.1468616105678981,1.3464942308621979,1.3624358727576105,1.1867480762242286,1.1554088573675216,1.1426250486618341,1.1437938533537784,1.0988284464407543,1.0680795059123627,1.054312169709591,1.0200588283774223,0.9890202146307555,1.00249537136139,1.237238417546735,1.9175317196688753,1.4783081582994397,1.1482564191837041,1.0481194830415916,1.015092615210971,1.0640778675157743,1.0126167256351333,1.0643519362212202,1.0895277995034467,1.1067626239636226,1.1084346459958405,1.1341306659760018,1.2164092815618746,1.2540532312198993,1.7119803937707083,1.5126921561044153,1.4633835125700507,1.1282349658126967,1.1461703394784344,1.1188228431052563,1.0959859202906708,1.0633315521311018,1.0663692112790257,1.1186704567864798,1.2664825315724748,1.113828347939474,1.0754946817202478,1.3121313196000688,1.0035923246553196,1.006148672553067,1.0370078353276397,1.0755255314968921,1.1820324461562841,1.2591541158393236,1.5267912121460683,2.1103956103405617,1.71223612780555,1.6408115181856846,1.6753225033362367,1.3975191421314352,1.282599151748085,1.0867688108711508,1.054057906586031,1.0721490516827001,0.9214988662269828,0.9151577714726715,0.9226331767090272,0.8500786107046792,0.8567276793472879,0.8671291643162975,0.8443103823356269,0.8324099475777615,0.8491128965168296,0.8622004740910854,0.8589244169914795,0.9196460284752701,0.87553335077318,0.9095726216349379,0.9485567951575092,0.9716412172743099,0.9523747616784201,1.0155131623768858,1.0022360883349308,1.2624710342971455,1.0410464861891764,0.9385696437130575,0.9979317802748416,1.0276739278565692,2.0236068415297424,1.2839136308100627,1.3926934101232993,0.9024019388548329,0.9464729757672398,1.0774012630746868,1.0124085661113031,0.9603129899103542,0.8684539092981053,1.05134917485308,1.0077013811957536,1.14113436146889,0.9687129264342212,1.072944608306563,1.1220924477746774,1.064282832733594,1.2402818086213658,0.9148918203362117,0.9221897675804467,0.9276609182693646,0.9430392593794066,0.9905971372780419,1.1139248794538217,1.0346646226993157,0.9780412317715653,1.02974285423172,1.1826215262513597,1.0657184896482836,0.9710621103258654,1.12535686927476,1.212982141267768,0.9904352721889749,1.0665567763628994,1.2603176831612612,1.187131247516668,1.0592212910719105,1.1041900513690708,1.0191153310180021,0.9953733520508887,0.939955638704715,0.9255192042420871,0.9417951384629311,0.8823913497266259,0.8883782313828491,0.9039530212516618,0.9215997151291412,0.8667963780191126,0.8922104963676661,1.081217006098261,0.9878928822575004,0.990450346638257,1.0780517229665538,1.2278683843005636,1.1548004821199969,1.148251330545972,1.3029962713854437,1.3625039574653413,1.398694526964048,1.149975773359706,0.9761956719891379,0.9031981871644431,1.1142134628416078,1.11663745519681,1.190178131194035,1.1306316786602424,1.001895410835392,0.8890847116205501,0.8876261677439989,0.9093586421024051,0.8423584987922093,0.9151180888798406,1.0144629438286719,1.8072096152176207,0.9720642315923292,0.8850264631712804,1.134353300998124,1.2947259631862749,0.8346522859943754,0.9223470520832595,1.1068767345275425,2.596698334127973,3.278587617527402,4.0714759548560835],[0.8838603127524083,0.7410641186038149,0.7253566119468228,0.5604325298821582,0.5876500125293759,0.5282088096754876,0.41516401605464054,0.4613647191035483,0.4116575645301491,0.43540132826507855,0.4901237490616298,0.5424870020818057,0.4756209099820447,0.5525745285358691,0.6633757049335516,0.5958506740629046,0.629586378429807,0.73317203318319,0.8412295314978087,0.7433253351107392,0.8840688687654359,0.8693910176794354,1.0699782722596431,1.128541210209301,1.0337959929089668,0.889861163755269,0.667636087743635,0.6172493316240688,0.6135200724394801,0.564244057867311,0.7187564574056463,0.6014795486940749,0.7045517308933764,0.7361072179825062,0.6353215957926459,0.6524773873723206,0.555727573969992,0.5875412153371982,0.5399606314338061,0.5216646518431787,0.592411228905105,0.6603633362102664,0.6722279305154704,0.8822129010973235,1.1676843878609517,1.465756644165478,1.7180419648892702,1.0900772092216195,1.0798648221809737,1.2242914609115612,1.1584004917804185,2.276130645186127,2.07465814703542,0.9401846295694206,1.1002206971211737,1.0866769634808866,0.9930723349417514,0.9172756446179832,1.1676214923500357,0.8562952322028851,1.0669255026222464,0.9694516524109238,0.9094969084617431,1.222441031429152,0.9788114767702714,0.8546166978881752,1.1397233207820932,0.9071150079006741,1.1499541979376775,1.01024009123442,1.16991627572467,1.4931675836257823,1.204088626478093,1.2310708815510782,1.024346852383653,1.607903056071858,0.8867282843809736,0.8223412350737094,0.7178334018507911,0.7435196282596438,0.5970468732698051,1.8860105682334043,2.043847811150953,0.5924047927475441,0.5910188214176242,0.5703717247170115,0.5847263427005028,0.5917762561164746,0.6680101965946658,0.7593415289192313,0.7889235737852266,1.10978012533448,0.9207213201791837,0.8298123035822244,0.7652972501846894,0.8534383083577783,0.7945651915508047,0.6776723542491818,0.6055219135674913,0.8296544375340917,0.5723993032816272,0.6089994935762432,0.5021896753181845,0.5823971061852721,0.6123552050081252,0.5931092281729976,0.8179984240003824,0.6288610015476128,0.686770735175133,0.8565486929220035,0.5770575936196615,0.44371562361815353,0.39175004677492004,0.4222549260445936,0.47061798919588665,0.5155976952409241,0.5857468431279863,0.6676287821092808,0.8755569484208502,0.7653049783855436,0.7714915326512192,0.6173901216271548,0.6510275302823941,0.5050454270075106,0.4088635672816159,0.4529996326321519,0.5136534270569717,0.4924193240463351,0.5204052751133301,0.5554072118226033,0.6023104769591519,0.6313310912673873,0.5841165649588016,0.5943696639170197,0.5768451638110544,0.6668398668442915,0.8768987090496768,0.619412913347751,0.5834558373117721,0.5792272348216377,0.8815951825299654,0.8822623098776976,0.6618638620821544,0.5902188038143062,0.5647566420486508,0.5332608182734943,0.4877772158063081,0.4593903123312362,0.4181729374535976,0.4405760985749398,0.4884485325358346,0.5146346705873512,0.9388523955788219,1.675487540937312,1.1344832268535614,0.6438787599578957,0.5008213606515016,0.5425821164985357,0.466481598802251,0.5068179279724605,0.4358182642020279,0.46356688911340205,0.5154611673480817,0.4918592893977161,0.5887884545365676,0.7076714916110187,0.8264107937687213,1.4142648893960448,1.2105715902851402,1.1242521491823496,0.6974233851368528,0.6231202964806382,0.5516618696972044,0.5075364907060783,0.446530236570468,0.45853332972802807,0.4855274631444012,0.716277969580982,0.4653830321121937,0.5141989823400154,0.8109659894975292,0.4703059122014359,0.47777807892480495,0.5260371259794931,0.5425139645865179,0.593638983033585,0.6130309224677153,0.9709770962433572,1.588695151420589,1.2829216379550772,1.2858333635326606,1.1444985266988654,0.9907408832545602,0.8957937708482278,0.6972662897233175,0.7388370097062459,0.7572098981576029,0.6670046144924607,0.7170839251859201,0.720564754535076,0.7450225561750758,0.7767337228797557,0.7148391400579035,0.7573508918073957,0.8290537633519088,0.8214039648774816,0.7874021907012444,0.8811142339209165,1.013042187981162,0.9181848196207127,0.959899651612851,1.0863494902009878,1.1270445855657094,1.0516762562828723,1.173432223932126,1.085787040971106,1.447371138220032,1.1409738493263881,1.042170754931721,1.1452500908790253,1.1629862411288219,2.0354971950263794,1.3935261684489353,1.4581752180627372,1.0083976294035994,0.9826595934914832,1.0693545427283178,0.9932784410619282,0.9981470043168678,0.8551983722415475,1.0015994132206874,0.9538223920262352,1.1052969546289781,0.8835896964155984,0.9719796967497119,1.0743742005065469,0.9851563806596109,1.0635448990952323,0.7908344101160176,0.7398094113956624,0.8036546241980298,0.9010767134844622,0.9609500817646036,1.188619437327681,1.048166455634085,0.9475597740996984,1.0735784055420636,1.2120636489993106,1.0507629774013967,1.0077304055356768,1.190754083959235,1.2526474512297094,1.076736591753446,1.2211289799751326,1.422218778730744,1.3640342997761048,1.266505394969802,1.3409594571519734,1.214310580987979,1.178016726253736,1.0546437144686713,1.0424413375519979,1.1167063345863188,0.9702579479621596,0.9259083347721786,0.9927386049179139,0.9943688230428716,0.8513426256249942,0.9526252424193309,1.1037945917822365,0.9837808100890927,0.9781957532613323,1.043881430727699,1.2831373365207266,1.1478647350666729,1.1117613672542375,1.3019454592343236,1.3161526842967033,1.466084361315473,1.1395945895641213,0.9530383990375336,0.8604209442396712,1.0724617832569516,1.0832099233018202,1.1643409952798853,1.0678102880938398,0.9226438729513523,0.7065616427585,0.6714347281279875,0.6213702434374465,0.7423720356729253,0.6768286124719819,0.8089952549656103,1.5216526959585754,0.705964340622378,0.731500551871526,0.938678298172725,1.0829487436122718,0.658921603093508,0.844724115547445,1.1035897581352996,2.1508237088421764,2.9248033927261257,3.8377119769504864],[0.7177821548649924,0.613390435574336,0.646955646911453,0.5017730311193738,0.5951871425939331,0.5608515824111852,0.5052436093343848,0.590023580732912,0.5113294561065119,0.462701955947452,0.4862306656932626,0.6163298750079951,0.4826566012458505,0.4471419568288381,0.5693973969627301,0.5195154535220434,0.5258809889705699,0.5577430366312691,0.5935476602842987,0.5475784175759622,0.626462307823326,0.6377426802205213,0.8060554923645051,0.8538511211909744,0.8425260324996025,0.6505095544431592,0.4634308522094289,0.46606647303929677,0.483901303435812,0.5117936850590682,0.6036364349963977,0.6066235394905237,0.7265573213108494,0.6794913188765933,0.5804981559905041,0.5399568181165336,0.5399019467637888,0.5050510991786343,0.4669130527657161,0.4664634265541921,0.4784408364942633,0.5222884928321905,0.520508325913086,0.7988649243506161,1.0635762086542553,1.3868407548858963,1.6552423038549582,0.9692946596403759,0.9874732465908608,1.1291887832724858,1.0824187588073206,2.2419192581954284,2.0011584747548414,0.8841272122941314,1.1170918490977486,1.0662029714446928,0.8949029890417786,0.8541225928029513,1.1541790229133992,0.7109029632377217,0.8554899162344096,0.800389610896001,0.7117097131365052,0.9744380654460176,0.6889743566918973,0.6254592387443247,0.866147418820359,0.678024711742122,0.893022877975793,0.7943310088955066,0.9325422344210724,1.2193975029929167,0.9585064834984613,0.9791175467526502,0.7803332587104492,1.4373270221496661,0.6758874561908181,0.6706871063967879,0.5745602360658846,0.5877876096786734,0.531020942019166,1.8747505491977594,2.0539628219295607,0.6313258907298805,0.610939767006353,0.6043054952607496,0.49966888937904874,0.5587319628834311,0.520747680462855,0.6501509564950485,0.6590843998835415,0.9031631972881866,0.7640974955227209,0.7201205861396365,0.6711323371734779,0.7452117652134312,0.7119224008344678,0.6919574385765336,0.6725826873832665,0.9365554666011666,0.6953713993834595,0.7409699135360351,0.5999660419560854,0.7013870900286746,0.7110116010038969,0.7111319476593672,0.9286699150483381,0.6906290794730917,0.7184564351009384,0.8983882820145981,0.6565755872889413,0.5256378117157395,0.48527377980364955,0.47381879388627995,0.43555778169280956,0.4192000100639389,0.4469678535029341,0.45167310200251853,0.6333955361324383,0.5705026282279821,0.5436175704954868,0.45697264928199943,0.47452624484893235,0.4104527714727649,0.4297636261432422,0.4749597280837873,0.571417175529539,0.546958380375533,0.567099095403862,0.6236205442807927,0.6212869087696645,0.6731186031671074,0.6136720010729059,0.6500338112478653,0.5832467413840634,0.6586762703535477,0.8641540188876574,0.5763257756526119,0.5405565799010201,0.5022348622175137,0.7656551026046985,0.7223645329224746,0.5170591293033252,0.46849599680258197,0.4609453419865472,0.4719073610538322,0.4354452051873844,0.502966481414348,0.4869994204179379,0.5368435322344371,0.6026586008703799,0.648951064796086,1.040470599451972,1.6780174366638756,1.1767666909053165,0.7534357912561617,0.6231545512173204,0.6571691850182861,0.5480570443444522,0.6153839511641099,0.481562316524097,0.47885346318138844,0.4571747274768374,0.44807563600759204,0.5646102000235567,0.6089872333816858,0.7576502116161861,1.3231718822272236,1.1394711435460758,1.0835469693596957,0.6476338087627337,0.5644517479904175,0.5230505866562312,0.5373087058338875,0.4915217551532323,0.5337817348934698,0.5167029376911355,0.7360958549873202,0.5015611615836076,0.5974663483855363,0.7904958385338848,0.5633643223330114,0.550283187996144,0.5664843920737309,0.5648444180187567,0.5684347379886682,0.5583470182121534,0.9416379327460807,1.616719255012375,1.2799842292082282,1.2846532746666315,1.1599083133581334,0.984973954321615,0.8911614732081471,0.7071446366076478,0.7327395684795021,0.7583759884716432,0.6575822326963086,0.6816976174955922,0.7120210192409788,0.7036705626121982,0.7805805947112749,0.7062671707612345,0.6939849306767273,0.751610665973308,0.7688516130661209,0.7077525827683054,0.7499381702599327,0.8967153717762526,0.7930284283391744,0.7842151189395452,0.8793567752341507,0.9570504819881899,0.8448369403991506,0.8984852608673712,0.8632660803982204,1.1930885840169523,0.896916888731857,0.7918349396019192,0.8855904668500034,0.9098746586387628,1.9026815163994328,1.2213605553377764,1.4243588806891236,0.8706597983491248,0.8960552486897366,1.0359440961295068,0.9573444020466092,0.9036203632553061,0.7540423660978187,0.9537368829608667,0.8507298353313535,0.9735530658540733,0.7919311946461197,0.9042980816221424,0.9445461260077432,0.8689684655398371,1.002822489625382,0.7080326092921294,0.7498877477789914,0.8143454885649354,0.910939462692056,1.0142372636688637,1.2310634224666135,1.1083019887505723,1.0044856232198405,1.080998870083915,1.2577762880275296,1.11081584982757,0.9914024552369936,1.172378751919915,1.2516523727295967,1.0275129790659054,1.1269060349466973,1.3536339557952264,1.2877923106777396,1.1024732929779841,1.1596794504324672,1.032123290610382,1.030751828558242,0.9579279776183516,0.9234277589986217,0.9338150135722466,0.8167251095239152,0.8083492817922359,0.7966749056817376,0.787449303398951,0.7155289578089036,0.7916032166183951,0.8944865196029858,0.8098580527226368,0.8456266061046863,0.8517937096403473,1.1393599635087701,0.998954547588501,0.9711115107219093,1.139110711181832,1.176964465305117,1.2885422602751815,0.9847622806105373,0.7776444019116617,0.7184441697717346,0.962401029993396,0.9911976669746,1.065188466596928,0.9974683034089813,0.8302280399307923,0.6638536107654869,0.6561143890521823,0.6395938299016768,0.7240253817649567,0.7087838718645787,0.8360534477091942,1.5496001008383917,0.7435039277117945,0.730296961455566,0.9600280989848569,1.125784326286182,0.6457465750286068,0.7651202944396212,1.033307479690938,2.0730412954842756,2.823243785544623,3.766308609498289],[0.5043699033455263,0.3877810600533074,0.44827558567564174,0.34205968585140334,0.4363239595270194,0.38026265992508473,0.3225618819427281,0.4110918119157505,0.3402649286426127,0.33711627636069813,0.387183916820471,0.4765647542289071,0.37261267743422966,0.3764221097143213,0.4976715180432431,0.44650152103020996,0.47527671397715543,0.5289115846067297,0.6091703429901912,0.5508509071976351,0.6615911590903016,0.6592516646356734,0.8057366777162288,0.9220397793515402,0.8174279403389504,0.6706230925365259,0.4790631466394502,0.46594478988653804,0.45906793349952085,0.44977773109483726,0.5598749234436527,0.5277879215989342,0.6554370320110047,0.6243953272098693,0.5155228026318422,0.4918616833828018,0.4671492646088607,0.4669170825647732,0.4315096044097505,0.43346129447509996,0.46859327904349957,0.5227390509669826,0.5176740453048212,0.8203732763794537,1.0503477126929368,1.389536243521554,1.6024616426082205,0.9768018791074008,1.0114728600966747,1.1297928646130677,1.0746749626036036,2.325737316449941,2.0746672716132095,0.9458418623096948,1.0493806790027727,1.1391474948001907,1.0308851951728262,0.936940920410912,1.1929504055097067,0.7351561615210895,0.8484204172047862,0.7833850807168907,0.7207034226932715,0.9991071192377716,0.7087064228848098,0.6418003477080018,0.8908378587585696,0.6841762579712954,0.9032586105722056,0.7787590874643673,0.9291648004319253,1.246761388465266,0.9574141580440229,0.9790382470870247,0.7639367680722872,1.4462970372033588,0.6656136745276724,0.6421201935273148,0.5419165023367758,0.5631717408572947,0.513612506724555,1.8596143615126468,2.067977841838555,0.565215060743632,0.53874268981759,0.5164822659700877,0.46047800986688875,0.5066959639797245,0.48516990387660763,0.6007652897811979,0.6173611583695923,0.8999603975616,0.7361400377309089,0.6731736466800133,0.6177416444838257,0.6990876477397117,0.6532622814602624,0.6044240844799439,0.5652369466703782,0.8117533839429435,0.5581383945909185,0.5956252307268576,0.46647801840767367,0.5389359402778003,0.5466409560734393,0.5253834959370451,0.7561313155047241,0.507219215695135,0.5615987224131386,0.7909100508140522,0.47318154807297497,0.3689067079560769,0.3362134788016325,0.389763435881014,0.38849049670647695,0.4137912777402594,0.453815265295299,0.48775455070952173,0.6609954005525336,0.5824740527508872,0.5439093097941611,0.45311535176410167,0.49376104793591025,0.37815287623827976,0.35136137942432016,0.39230626417247383,0.4121989772647066,0.4091133926315813,0.39055218600355524,0.4633488940742606,0.468819660946352,0.49209980617982546,0.470711691580814,0.5401030111183185,0.49361957302415704,0.5965056712810146,0.7961581375028082,0.5124940750415506,0.5275002945191231,0.5138208162656916,0.8047548127656932,0.7683841099165312,0.5675877077874212,0.48043502575467684,0.4451679114436289,0.41836666108432824,0.37973456781124354,0.3848203575252406,0.3568822548967173,0.3797708677292507,0.4277109436309084,0.4719889311564136,0.9054984956867433,1.6868326914905631,1.1217081794636492,0.6294185511335938,0.4699760019974771,0.490119601758042,0.4215513338070756,0.46217202373026617,0.3785784750857107,0.3709804432315906,0.4085574087848871,0.3848589443527866,0.539306754129961,0.6238961031879023,0.7361741029072494,1.2999965590915632,1.1175980953534363,1.0764906461068717,0.6252379469374253,0.5461000241973536,0.4489313894110286,0.43794978737388807,0.37820922658140954,0.42475923847266317,0.43871802354019046,0.7104622497541241,0.41607844866334287,0.470272981456018,0.7212907419307727,0.4015599608626002,0.40689264160083094,0.4556901315261141,0.490447523654557,0.5328374758410542,0.5450514308595611,0.9113766636203143,1.6137314554089082,1.2164289466265301,1.2442175805182467,1.211947954927428,0.9316944378467965,0.8224924490171193,0.5955430441712793,0.6069403495336412,0.6540748991472597,0.4802705130300325,0.5006508730939578,0.5314717576505837,0.4902141865603147,0.5379500978887979,0.4918350588661167,0.4898654948275753,0.5154763927535655,0.5283286730871215,0.5368507943932701,0.5363716728275948,0.6579581847896976,0.5720780959017238,0.6025521996708597,0.6722437868521243,0.7149859379336021,0.6782733927869425,0.7700502323288024,0.7787478144127901,1.0514220753950292,0.7825213522971416,0.6514231346868148,0.726446683506461,0.7317314414553022,1.9153867369735926,1.0824528685250343,1.3749912038769156,0.6878122544390273,0.6983569297685026,0.7989193563333891,0.7650235776140358,0.717945777448233,0.5651515484192818,0.7978811896757924,0.712048211330974,0.8771349704852961,0.6467120581316635,0.8206601166934056,0.8089742833666516,0.7724369971156889,0.9274922826539513,0.5427555692150761,0.5475796114055689,0.6062576662932188,0.7002977471616507,0.7946549940501998,1.023526386742597,0.886852567603312,0.7707872256054492,0.8461044638705573,1.0563650328660412,0.8866991304079768,0.7504215685039034,0.9438328887840187,1.0339329678857607,0.7795640362364883,0.8776196882544579,1.11701336682062,1.0373356830094016,0.8483567816404409,0.9033337085797462,0.7923136251878035,0.783506208122296,0.7128521895584791,0.6887298495259904,0.6978553402797381,0.5953559663663086,0.6014095156301414,0.5966344726252227,0.6088483507786396,0.5283857970548932,0.5869462032970666,0.7604358150621019,0.6685055058172553,0.6721049984497239,0.7169565603967818,0.96951377485578,0.859151312371668,0.8547827421623893,1.0212313499295251,1.119997418826541,1.1745225045095573,0.8838003640079128,0.6553940833718978,0.5796320150746122,0.8719113730036416,0.8708843194868374,0.9430913201825571,0.8935525892530829,0.7038159415887113,0.5222615838293505,0.47064403050832493,0.47236942240921387,0.5081378906466014,0.5243832075661186,0.7086334253243847,1.5512001377501388,0.5710374920417108,0.5469530563685053,0.8462693837069771,1.0217927074920516,0.4365121944884323,0.6301522425982317,0.940312796967567,2.38367136023255,3.0710862677405752,3.927875944981544],[0.5141393047457099,0.35227106748329284,0.42482924238854175,0.30628434266462284,0.3784534915776007,0.38455362304503565,0.2932078098325284,0.41169407119217266,0.3196989990937371,0.30769127861870055,0.3781885220191219,0.4908972737339733,0.37298385884488544,0.3482061994177884,0.4913230802439764,0.44935954634648295,0.4512863039581021,0.4949516318391854,0.5586459203999852,0.5196561898652149,0.5962975006597167,0.5989782403800674,0.7390888211242017,0.8347063280196421,0.7919034504436528,0.6460758686875843,0.4525118376067893,0.42868785232367074,0.4406439508298119,0.45490904164225643,0.553804783519677,0.5506658452192339,0.6939426586249408,0.6417347388369324,0.5451952886110698,0.4918153622006939,0.4968079628465579,0.45641220963102513,0.3976988593699558,0.418757143143144,0.40233362071737155,0.47897837897672474,0.5008897949543244,0.6878933464673788,0.9258648810866544,1.2795581635810436,1.4546312159439878,0.83425593357328,0.9001995550999041,1.027245022267212,0.9368398499755672,2.3025554285466496,1.9820220344046497,0.9123620644223898,1.0154029802241349,1.148857292524528,1.0257755803021038,0.9305362701190308,1.2234210300470747,0.7353020629147514,0.8179501953633569,0.7781535925242461,0.7005515139088682,0.964359293090033,0.6636702121304356,0.6233743266225941,0.8379813457699273,0.6522113563260593,0.8953948268358468,0.7311859488195008,0.9120431408439063,1.2615172437677926,0.9154464595457397,0.9329401922820325,0.7251509440922718,1.479805773670251,0.6480214477127715,0.6422625882679017,0.5450327730268586,0.5603800644810697,0.5252039685619433,1.724561752109291,2.032336624119385,0.6971933026587301,0.5827302817545603,0.5755998359314347,0.4715720636090909,0.5458646222412402,0.49408101796939885,0.6029218618901573,0.6153612853209885,0.8662030283259257,0.7058548333489629,0.6712138368016813,0.6096398440694879,0.6815473428598147,0.6435783085745934,0.6142844971027464,0.5932337025406432,0.8531884694040113,0.6141910741699477,0.645327755247987,0.5232130302469913,0.6034521727302096,0.5971097295106571,0.5599719782563825,0.7998714799096442,0.47951769770261976,0.5296979617703833,0.779396037088085,0.43946600423518606,0.34653701727520586,0.32456583516491744,0.36057479757375877,0.3655492271670979,0.3709142045414519,0.4215642607874453,0.4477407272882682,0.5943556168077455,0.5222051897190869,0.48074226420677785,0.4212442784277788,0.44380162011339974,0.33843470111626184,0.3266716444026315,0.3556264290589261,0.41040598678387724,0.3857482382799399,0.3583067713785985,0.4333068101257347,0.4270864400537398,0.4788715314410019,0.4098968808033726,0.5218366838027628,0.4500601484489797,0.525160630531022,0.7343595857237751,0.4503731744821854,0.49538843286432444,0.4614333794150326,0.7894848718867445,0.7033958098327108,0.5133665677171522,0.4290707369215473,0.3947830243821573,0.3837147108780372,0.3461083276447287,0.3865303971206017,0.3496868804943341,0.37889532270965953,0.45910296835563436,0.5050495418565872,0.9781383285277423,1.694384759803991,1.1157721255884154,0.6909705201794726,0.5132267189304011,0.5510680549194844,0.4641482889955976,0.5183534259517065,0.36558107347454155,0.3898046944078399,0.355526451997656,0.35759924524873576,0.5173737205654142,0.5506672885141535,0.6414525571809572,1.2036136551957681,1.0406264124395015,1.033454979638267,0.5669842937581769,0.4854221763032913,0.4058049227313529,0.4107917497609249,0.38677319382079894,0.4504910532734678,0.4698413006173585,0.7859142625585369,0.4468528933505428,0.5597587339065272,0.6786738610802797,0.4177013130901528,0.3935065073840908,0.4196232740293079,0.4403876141735122,0.4613774995522895,0.46292771179458436,0.8152203078650784,1.515351487607109,1.0688621786952286,1.1365504112847422,1.1898408108703475,0.7985350468566218,0.7009201411712997,0.5024195815149725,0.5371928694607662,0.6087925911232139,0.4300311543012579,0.4551363212487364,0.5092257967859182,0.4575394935470808,0.5128004375693477,0.44951727083813997,0.44786120746561536,0.4863822517142929,0.4854975298195164,0.4955627690725691,0.4884826002808259,0.6029301538043885,0.5140296288399278,0.5730142509401625,0.6244178074249521,0.6277058854737005,0.683302944802012,0.7467672120096025,0.7806312710591526,1.0121438893982189,0.7693237874829415,0.6261731865130324,0.6948845860488548,0.6978139379856548,2.0186788513432528,1.1206157347402066,1.436152277329002,0.6757149270917925,0.7014234611435344,0.802679375423789,0.8030040620475646,0.6963321147248025,0.5453179225009476,0.811768742006765,0.6873379237220747,0.8639832375622417,0.6367389470390267,0.8476438306395202,0.7326473386264774,0.7330319815303993,0.8774441012219293,0.5091741352864714,0.5356859485552943,0.6186097850704506,0.7214367792447786,0.8283815739653756,1.082726535077201,0.910977151938164,0.7909040012015986,0.8671922484466069,1.0863567250213102,0.8991282356596962,0.7323227499058812,0.9394298703332241,1.0140433420551629,0.7372034671072005,0.8463446715276746,1.0785514839175567,0.9496266501999147,0.7894786903232095,0.8627461007892515,0.7421854289475196,0.7566372758674911,0.6938528488363749,0.6807327521962754,0.6718319305723505,0.5521375788774987,0.5845536873852364,0.5576027581367141,0.5689242416137903,0.48403958698523486,0.5520558740715699,0.7118980897213038,0.6387817896478198,0.6123843837852228,0.6683130209576871,0.9236926444075686,0.833825896365194,0.8416525297138449,0.9907379586559552,1.1059500151152257,1.1775528463915663,0.8992640525029095,0.6642046044814189,0.6053421906612324,0.9048786865496026,0.8899625648020753,0.9459699302785386,0.885096986306262,0.6772918851868086,0.5069035291353164,0.44006570374518383,0.4328294062407171,0.4601501921288064,0.5062919142154836,0.7317354185543347,1.5557530247578684,0.5211265876723864,0.5455952590383782,0.8451187828716471,0.9488026441591197,0.4293883621246742,0.6812766318713994,1.021293963887277,2.4539256014882205,3.205765678368774,4.144452885774545],[0.6076117821735817,0.4853679766615992,0.5045238114353375,0.462629317343622,0.5199803951466816,0.5056515917423728,0.4156648353757186,0.4839668668126519,0.42423168013445484,0.41905120790822636,0.48543158894581717,0.5629081349809852,0.48257742846925883,0.4573254251195924,0.5781566807917085,0.5521723346451001,0.5743253720487993,0.6165205157628624,0.6877487325478552,0.666876640376224,0.764487746992422,0.742791727008254,0.9108820811530165,1.0470650481369363,0.8448867548196614,0.75650725500793,0.5812604909807962,0.5584445559239457,0.557080171971599,0.5709935729657704,0.6986930228159357,0.6557810351857062,0.8166896483133748,0.7646744768822621,0.6579616419421344,0.6149859338652156,0.5903783181727683,0.5715805883589528,0.5241877339891868,0.5216185413476754,0.5657166108532111,0.6211139112300625,0.6210351873478919,0.8319862020068245,1.0648572497482016,1.3766082833956943,1.5728334014169483,0.9610829870879842,0.9859256947442716,1.1059229883169939,1.0098495110814378,2.3816965759460342,2.1613444629389917,1.0328504367620548,0.9859585813947294,1.1852234094274334,1.171548698112333,1.0536149196119622,1.2282355109032177,0.8119029168759114,0.936554748349065,0.8652535851294021,0.8577240014637905,1.1511836763412318,0.8131422466594955,0.7427981719374249,0.933028979186247,0.7809170144012744,0.9766791001359376,0.8146567577863143,0.9632878379686687,1.2826196334949793,1.0079445506323572,1.0454414663372917,0.8588269766273261,1.6117733737984818,0.7973501580037077,0.8085809961568401,0.6918833929414582,0.6954366887154335,0.6855591811927176,1.7904513730393041,2.056580030442668,0.7037831702838923,0.6336135760471255,0.5973277641594605,0.5734602939216743,0.6562621129261299,0.6275953112395819,0.7340982840805309,0.746215015795437,1.0603068415158148,0.8798357632737329,0.8213309507013814,0.7545623727184161,0.8383852339267769,0.7539657308737461,0.7386509408788858,0.6962548991871204,0.9079178089096926,0.6976595971569957,0.6906893931041201,0.5948077204573718,0.6336657131388682,0.608097344544057,0.5807460538746056,0.7906861824376545,0.5265977608997573,0.5622215822094884,0.8326902389607719,0.49258758957810594,0.4324632386670645,0.4264267961218323,0.4700641508395197,0.4849438661245045,0.5043587678313349,0.5436097091521368,0.5897289546093335,0.7555505977970101,0.6665458948226856,0.6111315256247203,0.5571909019554484,0.5822729806352294,0.4719541083150771,0.45267905530412034,0.4785744194029948,0.4803936474650481,0.4690663829460526,0.43072272483051416,0.4898013246662261,0.5073387579700166,0.5412394344562689,0.5052215347220369,0.5362020941549113,0.5310407723676962,0.6047110328939183,0.8053150322229701,0.5300786536631693,0.6050179187687984,0.5917265315645704,0.9018635641166424,0.8384218896555126,0.6519180292813437,0.5758866609290207,0.537780179833904,0.5196741612076374,0.4867488565555191,0.4884887107702976,0.4597867083539841,0.46688785492082446,0.517124632853013,0.5954750808234242,1.007831359008291,1.8104550167618292,1.2302808094504745,0.7691922729936969,0.5805504016662428,0.5864725328031148,0.5498391535635971,0.549975893602505,0.4891517197173623,0.49218554893335015,0.47762558481616335,0.4853425260653765,0.6316838481885892,0.6403261092785242,0.7379993866076224,1.2986876874699107,1.0960718854814107,1.05516970506861,0.6251544836791508,0.5669982523751546,0.5124695983917646,0.48761530658818947,0.4814912995966037,0.5299623099504135,0.5635795641257063,0.825857328658631,0.5543088836293645,0.6082455688689712,0.7318407187918853,0.46749759676488634,0.45835111686059105,0.4866049924168106,0.5190971918755689,0.5696998463210994,0.5799813762080269,0.9215322887415737,1.6039751134766382,1.1890051324979183,1.248834276581295,1.2955438127588763,0.9575656517435727,0.8330608059834135,0.6129951188630487,0.6125237955906815,0.6674094591528646,0.5162842026218274,0.5264550338178504,0.5919852012894035,0.503803900761811,0.5354873242519286,0.5037070320595479,0.5034465752457044,0.5197111805935224,0.5256838335186256,0.5529587396520504,0.532934812654613,0.6196747071319854,0.5630514661504151,0.6216688268839953,0.6644846527198033,0.68590826141183,0.7047331958366262,0.7807713834395026,0.7914894413763897,1.0585384079181106,0.7780210474634032,0.6676295647278256,0.735052609559595,0.716281345671197,1.9918230527082033,1.0306986493961399,1.351704889391778,0.6630600484676461,0.6969738384695796,0.8014235149090352,0.8037769312329159,0.6960154629248473,0.5610890546072214,0.8234280699816857,0.6895238599242492,0.8281923439619507,0.6309190944189597,0.8810500192232933,0.7391265899837538,0.7484717106960872,0.9780294489543044,0.567055682633845,0.585776774147991,0.6279403991549194,0.7225517040621997,0.8212229018369831,1.026358336097942,0.8957552426921339,0.7773908724214708,0.828455806481684,1.051528549590543,0.8687759335926036,0.7186429873818825,0.921409647773784,1.0030773983330694,0.741467753380128,0.8422467064182293,1.0835074129465059,0.9869294506568076,0.8060875149681817,0.8645297613528349,0.7586142718620198,0.7560523716046279,0.6896234159633512,0.6769348827892783,0.6782865690590827,0.5814748470681229,0.590108313680125,0.5860095264173107,0.6014370755497165,0.5288622638990125,0.5828391245928051,0.7610185319444495,0.6655061607498156,0.6595557592579251,0.7002036063375313,0.9717511045811862,0.8736912561807424,0.8703113419375479,1.015819159321685,1.1205872460504152,1.1299421504039535,0.8761165936744535,0.6835423504851851,0.611058232759809,0.8835616183965505,0.8762239787759566,0.9426177325112101,0.9022156774558558,0.7174642249624461,0.6009545860131061,0.5148421502177697,0.5154751937427252,0.5224066751040084,0.57084180583848,0.7813739734352229,1.638239032262746,0.6078441982354457,0.6156430110418399,0.9379895895105504,1.013589942284194,0.5255455076204985,0.7090705798794908,1.1372620795895407,2.733244099373611,3.5157025006144575,4.424492977378721],[0.5690390183261328,0.4007428575939531,0.4638957066610073,0.33105911321929504,0.38611317077327,0.4253851856130732,0.3140815366993361,0.40827397459001585,0.33087586330593866,0.3005828670061007,0.379547449681513,0.5092538510672725,0.4033155498271605,0.3427882776911538,0.5128312136013271,0.4834261049471482,0.47059779381520894,0.5175036361014294,0.5840106689490373,0.5444534425975278,0.6105980574727358,0.5966191348634066,0.7801199746093469,0.8561082787484633,0.7489479126629154,0.6466344712943867,0.456845955871398,0.4367413325859224,0.4642116511347582,0.505479380695175,0.6199183925622979,0.6240595103690176,0.7911006230712265,0.732205956209667,0.6326386372892531,0.5560119912412048,0.5630885751539986,0.49218306846826293,0.421359396161808,0.4623713255418978,0.404476555839294,0.48925907934964,0.5423252959621309,0.6229320662369978,0.8666546241707691,1.2192524651139138,1.3555776412214693,0.7420138460150564,0.8091828005194017,0.9084698745112615,0.8192580662318721,2.3477188771262005,1.9997093018382484,0.963052959521511,0.92264341918369,1.1833334876446495,1.115352678701631,1.0206733899417086,1.2586593235263173,0.7632107799538893,0.8389932607347248,0.8181450848291337,0.7738935195831667,1.0247820145361468,0.6907960622972648,0.6660301330254759,0.8695561334097177,0.6735771136751103,0.8855798171856536,0.7161054098701645,0.9144911449999424,1.2790624614619601,0.9026137857108649,0.9282567029521542,0.7604725876749534,1.554924609822211,0.7088504504820546,0.7459203396454475,0.631043772030524,0.6438360221562724,0.6159746161486067,1.6249443677192896,1.9987836230969735,0.8343628450799039,0.607143678133187,0.6059035947838657,0.5261487490968101,0.6268412778032182,0.5647813829923012,0.6899969684553158,0.6885504183072273,0.9442213074020723,0.7915984270122978,0.7582396939349572,0.6791101149223746,0.7483903516431933,0.7026050210910633,0.6933361152781711,0.6650889289079601,0.9217961014316445,0.6913357933067994,0.7059296572007252,0.5983451133671381,0.6375932771630648,0.6229370386204361,0.5603140657579685,0.7631797304735383,0.4634401493252238,0.49196780026227066,0.7497657719812777,0.425695085547615,0.3470604478658291,0.32593119808604376,0.3812802395621051,0.38956263168322597,0.3942289772780886,0.42977941024064126,0.44644123347354575,0.6223488081999385,0.5427492799632001,0.4769654576276728,0.44168956306377055,0.4420246100221221,0.35817786980023264,0.3373768861776138,0.34220704080463354,0.4208457775873339,0.4020266378830384,0.35100170399644776,0.4271103921997991,0.41683269959567154,0.478325373124042,0.401241372994496,0.5281782045661595,0.4364265296123481,0.48565676432665394,0.7180564506437955,0.4187157541320321,0.4896821953369856,0.43828197210234,0.7767547461796633,0.6943612056653662,0.522582232190646,0.4443635757026393,0.40596469527007606,0.410671943050705,0.3643783329346623,0.39951465980520984,0.38263263785897483,0.3924786372422929,0.4583885457938191,0.5394077463660975,1.0360926754107542,1.7907319896601332,1.1677966270701072,0.7752275072130492,0.5585032825509194,0.5918525295433261,0.5186953690632176,0.5527251536628526,0.38031435803993247,0.41722901965235354,0.342254230165339,0.36692564984287646,0.5476417300099184,0.5254556875666347,0.5633737975684973,1.1133349608178897,0.9612045416103363,0.9680455470356385,0.49881653796823056,0.43574270699333534,0.38294766576947487,0.4175496897958817,0.4253938399593543,0.5032318284386705,0.524051636985707,0.8364706197422349,0.5085252778879664,0.6295775634874557,0.6647138291085454,0.438337479186583,0.4229958383735258,0.4232419260089324,0.4518903592971973,0.47545147864729204,0.4493965352554177,0.7782307043069546,1.4459624015932284,0.9681015531893369,1.128817982168864,1.2743451823275862,0.774023271680948,0.6738971510872597,0.4756140833294776,0.500106384103441,0.6068723811734164,0.419672338745524,0.4540819259787794,0.5282894577809901,0.4722590310918467,0.5144721897174056,0.43681776835535097,0.45300081801247816,0.4986168993153602,0.4930487677202822,0.5242732932497877,0.49861095407113876,0.575436871089023,0.5209910114155666,0.5931193947805268,0.6378473091814154,0.6257914525076606,0.7212359183497523,0.7730834251258417,0.844850563773716,1.0006479232362615,0.7745688624072793,0.6448500167499107,0.7035356223357934,0.7035796536286295,2.1610312119787474,1.1508026528580926,1.4875714514596283,0.7107932743667066,0.7392993305546544,0.8228797900533612,0.8610691305940161,0.7027258794614815,0.5588397972645038,0.8243443218853213,0.7077196195039658,0.8539232797388584,0.6400345869577796,0.9118056987339999,0.6544249022204679,0.7020731105846697,0.8668640114706789,0.509238710948816,0.5508671443872075,0.651420867260029,0.769385910060868,0.8458400273370963,1.083204324604532,0.9169453273968688,0.810697256595053,0.8596875653732066,1.0885457365683184,0.869485339061106,0.7019489995154473,0.8997197115375036,0.9523083457260151,0.691312823259753,0.799418452095143,1.0145759478087277,0.8714223131210524,0.7536715874011649,0.8203809947083682,0.7178651148224109,0.7307934143390128,0.678834830651568,0.6738421917716665,0.6739905166402033,0.5581720465572461,0.5852682727564175,0.5642781093680475,0.5779502341375007,0.4886098112817816,0.5578340029408089,0.6784585327680646,0.6337463159740031,0.5873858998771618,0.6573594432632867,0.8944074665492914,0.8187134576565112,0.8327447709317171,0.9710004386555128,1.1124035205787879,1.1480106401568562,0.8932661894005828,0.6874876858667424,0.6383657671101753,0.9154933693092532,0.8696893398068141,0.91175178636221,0.8625918808057145,0.6694088522999169,0.530972464699713,0.4393582846392928,0.43365170093995964,0.45927701431783385,0.5157594254009487,0.8062336217831859,1.5598269174575357,0.5174309239525691,0.616493747479561,0.9385178825208769,0.8758660214761513,0.5253179781969589,0.7954862021927792,1.2980219202812058,2.8253251743866676,3.6870483785873702,4.727675259079743],[0.5851243466576637,0.4542966502225064,0.4568123658534492,0.3921740078529178,0.43420847815847824,0.46919000417385875,0.37648620784953224,0.39902343239711396,0.3522629379685469,0.3482730647720801,0.41112024760702875,0.5263724805093434,0.44456673493221915,0.40646297183831154,0.560325858062022,0.5625020958724483,0.556599171261883,0.6068592756382855,0.6811220403532345,0.6450249130440605,0.7252889357143815,0.7019112108254909,0.9242955689115868,1.0293875065597156,0.7954134872219083,0.7533723561499587,0.574983688274207,0.5490103468425033,0.5487550996705407,0.5712821436120772,0.7038831960099203,0.6847767394875348,0.8606402898491733,0.8083353742201502,0.7075283967346171,0.6467848492208518,0.636112112498921,0.5839612351143911,0.5232098181939141,0.5492505810697154,0.5347027092881664,0.6156879247834741,0.6622410273259308,0.7371280076549992,0.9704124867204752,1.277793316662425,1.4158683742305547,0.8637154454733339,0.87697228103405,0.9405976478299284,0.8701751241981215,2.349662546272537,2.084980020564426,1.0383895340710683,0.941453748162472,1.238382098108797,1.2208650872842886,1.1621430467217397,1.3374522632139507,0.8756832049162113,0.9256420242915555,0.9001263280666756,0.8759467675979324,1.1316214306567616,0.8106708651801173,0.7760437832165793,0.9466649244789468,0.7722292942548821,0.9940684471066933,0.782059384956422,0.964848390914076,1.321402199535258,0.9475005067734364,1.0267340693239606,0.8462783996361523,1.6350633789182998,0.8208814525271252,0.854665462836519,0.7424640402492024,0.7544188859112743,0.7165505251392813,1.5492045940380095,1.9524801067653994,0.8944457871005256,0.6784493559442198,0.6556236123139426,0.6176770167140154,0.7068603965437291,0.6736315019675052,0.7742292194777745,0.77982460387828,1.0556451106423412,0.890038214577872,0.8453131738675799,0.7470086647993566,0.8190774476538953,0.7364617836672808,0.7476819715413394,0.6888836756270453,0.9194646164108486,0.7142730537134324,0.698056759010996,0.6255072201349388,0.6264729691596715,0.6033983242764567,0.5452275513076752,0.7519255343056361,0.4728536071479388,0.5002650544139258,0.7582391099928776,0.43431392284201076,0.3752775187440729,0.3713230121460322,0.44561868058340803,0.4736827932058394,0.48744379627018536,0.5275458869721754,0.5534033940768193,0.6946553494018161,0.6146495994537354,0.5568692765508494,0.5257131265230757,0.533854483807522,0.43269651774440976,0.40981172327863724,0.4233000224966743,0.4751091198196481,0.44898973714717505,0.4030525745863761,0.44644099652167835,0.4441321783933943,0.47953751885371676,0.4326058702320735,0.5201252183815124,0.4880391905352901,0.5274087488048822,0.7532584664736307,0.5044203452885269,0.5564616461216945,0.5480509122590276,0.8748495213492036,0.8052291402205934,0.6206705990288324,0.5455235059011788,0.5166017184832712,0.5022331477545873,0.459579471924592,0.45789827120995685,0.44642002123281244,0.4300865146984645,0.46918966072360496,0.5406094477025961,1.0017933705277793,1.843390019336855,1.2169735857670279,0.775564934424377,0.5612649434066531,0.581837274826146,0.54894569270827,0.5651906703583279,0.47390160898613176,0.49427678318354945,0.44710363524563074,0.46874818778273786,0.6052015386172637,0.6162217450591875,0.637316569474798,1.1867010306758783,0.9970550633640886,0.9846683659608306,0.5693127203738418,0.5186185309227014,0.46413545093883835,0.47603090713213586,0.47871070580218655,0.5208833730885034,0.5585539298662415,0.8617121418385274,0.5601644221399814,0.6539993439769282,0.6984837443812857,0.46511807254997817,0.45190584570374326,0.4423858151492169,0.48644628913990035,0.5525231521421892,0.5470811475844046,0.8531918715111706,1.466082091995628,0.9769784506264129,1.18404529105541,1.384645455107697,0.814296471133945,0.7104327147418769,0.5195878251105766,0.5379581218502283,0.6369241741782962,0.4399973543348643,0.47083476133771424,0.5476877263792562,0.4755070246260227,0.49889095130511674,0.4497929649891757,0.46921642276292796,0.4985780588072715,0.49569971940064267,0.5239131391755756,0.4984251341693268,0.5636534304282557,0.5254682544559692,0.5934447985262472,0.6200083873408389,0.6178940053810342,0.7122052097684358,0.7553234768246022,0.8481095771747992,0.9913376732803886,0.746143839088267,0.6307804351692654,0.6895853178870899,0.6773438463166234,2.1493458720800973,1.1005100704411017,1.4482901809560116,0.6897283988131668,0.7010810411088573,0.7686454745059603,0.8240569254855431,0.658229146212389,0.5289286991622169,0.787107046091833,0.6918491590252357,0.8166851416630384,0.6181979526846707,0.9531294995905559,0.6872378784743685,0.7306685099641373,0.9346299767543876,0.5275236950529402,0.5623175002665818,0.6285589301995025,0.7438495602940761,0.8214836205615187,1.0414000494596638,0.8795757953904768,0.7821981708607341,0.8135475189952565,1.0553138504137394,0.8350358527788292,0.6760949001331418,0.853503687730704,0.9045043510022072,0.659354733633326,0.7580143230845647,0.9684809999161661,0.8378149674820281,0.7117380273056919,0.7723795187149815,0.6784293681686716,0.6873593140584372,0.6522457564946332,0.6492663935863223,0.6400919290324224,0.5399523646983224,0.5730454413019477,0.5454627901291174,0.563193253856313,0.4919831035216957,0.5471147926247175,0.6711752249778186,0.6272535832438381,0.6060265242028101,0.6523969189238537,0.9054878950318491,0.8216945788651082,0.8310218967591608,0.9809826904164795,1.1418117937736247,1.1063745465970491,0.8785746788376453,0.6742923071805247,0.61034115893086,0.871052561002739,0.8375881613779381,0.8867520221097548,0.8573848744837567,0.6611896326177034,0.5415135980331991,0.4552637574371917,0.47573685312933484,0.48314424695258373,0.526289685858184,0.8004237366715361,1.5807496614755667,0.5275719172261767,0.6129497476543014,0.9568112162490975,0.8551026530849651,0.5098285051643147,0.8021230502916288,1.4209147432938174,3.0317770831913,3.9917690739807195,5.1143071546854815],[0.5849883356921332,0.42987754781627663,0.4702990235854311,0.34513110244214296,0.37782584443119893,0.4155514555740946,0.3201858805487813,0.4110366352874523,0.35238464041457673,0.33034201668291924,0.41379707458735326,0.5474876834449274,0.45717305065506575,0.39277327848402493,0.5714805331967898,0.5784832311839285,0.5517470892451126,0.6106049753694244,0.665665908596921,0.6360542650648707,0.6936734065411102,0.6706302741981882,0.8681649191159881,0.9350273076563725,0.7448072462844586,0.7023761805689224,0.549555164329266,0.5302731502563487,0.5517857250322741,0.5847278627734176,0.7197946063641485,0.7101826384989831,0.902009575852109,0.8510502032153872,0.7515455759716485,0.6749275566854566,0.657720329535462,0.5953055011962033,0.5284202036458521,0.5786854524140055,0.5139537944005137,0.6110940657942916,0.6758948677081511,0.6893274702929122,0.8928478614744749,1.190839877990495,1.3060466177888945,0.7636668745053956,0.818849928401231,0.8708663540865247,0.8113677695677309,2.3685669463733183,2.045964902619707,1.0755044602611405,0.9640447738969566,1.294770407031873,1.271716074260112,1.2145500797508981,1.3951509806748545,0.902884911029419,0.9039522125852772,0.914353261345587,0.8907556093345872,1.1312947498729227,0.8029976077174772,0.7763598515061113,0.9408869955697267,0.7689495976948564,0.9500032695811664,0.7877751059969509,0.9664159715429382,1.3799843635702023,0.973258573075903,1.033987102866329,0.8530533299165961,1.648644196700216,0.8333445065996455,0.8801339027189253,0.7770909508068677,0.8013834722614936,0.7671435960173563,1.5426340036430137,1.9832194141825061,0.9909845862097365,0.707681851944756,0.6823530057696516,0.6464052623291262,0.7547037805710606,0.7034965529556478,0.814380317235353,0.8065988117783248,1.0633640945739944,0.9007393893156875,0.8620511815249204,0.7660800275115258,0.826289956896181,0.7644207630514717,0.7810787076681841,0.7293379313021022,0.9506373470787968,0.7512449119776422,0.7291466187591304,0.6616673557454886,0.6585058489633309,0.6443341038612102,0.5699995343151238,0.7825324154986073,0.46228405234241926,0.47111856531570423,0.7662009636676718,0.4196617980604029,0.38146101424719064,0.3565283630152585,0.41240611250154907,0.4568109944820162,0.46412212949624143,0.512975041803136,0.5304185264238724,0.6674513248797055,0.6009522705342955,0.5346219897923378,0.5210717039962235,0.49343145124865856,0.3684665719565963,0.35524795033113743,0.36209545253981434,0.46767462075160365,0.40488919355697095,0.3755152324886247,0.4485413281961261,0.4246731538691958,0.4851836700064064,0.4270143992844037,0.5730147145283386,0.4669787879006336,0.483020547768566,0.6930419789772504,0.4275017035518623,0.5080806968921842,0.4916145741735049,0.8278221052155472,0.7408055363771123,0.5722877813586182,0.5195164106156617,0.4949810813278653,0.5119220144855661,0.45061208351878573,0.46395367698681733,0.457961326405993,0.44234035108908276,0.48718543286200394,0.5778274446586793,1.0499078644847075,1.8844962289225788,1.235724123715691,0.8191314939450097,0.6036978316890903,0.6228129463427263,0.577914428766397,0.5970732367123062,0.4720163239632237,0.5147148424104758,0.43933857605954557,0.48814160829573355,0.631776560164177,0.5707777059731356,0.5495716492517244,1.060098814262898,0.9060426755102974,0.9217796173130317,0.5002238590601242,0.45859634958853396,0.46078767516630914,0.5031179088503194,0.532145475574852,0.5779393371283426,0.6057401896412561,0.8901633166041686,0.6230398041323504,0.7146594414353581,0.7016966205423188,0.5059429213430922,0.5011301901205606,0.49267436549329036,0.5010429051166402,0.5501811866619379,0.5376047721370358,0.8310122007658169,1.4025919516684793,0.8705421623457631,1.1173891924480728,1.3938503485963962,0.7795108212232404,0.6737092088274849,0.5121413247558517,0.485780530930674,0.592451052090098,0.43116512701910015,0.4544443821466252,0.5160710087101308,0.45620089088203086,0.5092293832114861,0.4310405857202757,0.4497428587289362,0.5116587093844767,0.5077156373602993,0.5320016106435694,0.5210251349437348,0.6053161817232615,0.5642666084940732,0.6284273482334167,0.6696768289090613,0.6727985013909962,0.7874778302308033,0.8081008511756466,0.9215968209061027,1.0028662796658934,0.7738977299972227,0.6529423383644745,0.7079577986701466,0.6623779483151129,2.260832656318481,1.0986691555921966,1.4923624685551466,0.7224544969520039,0.7621583449278276,0.8257571399055448,0.9003553594875142,0.6892603164528018,0.5674331743236332,0.8380723882724238,0.7296408627840743,0.8108780989166995,0.6241600127251982,0.9479454666868955,0.6070341718298836,0.6879085802125233,0.8822000586786278,0.50196133518849,0.5573424260551628,0.6517645351617595,0.8019600970143586,0.8964489346701687,1.0926164897947008,0.9427157131094879,0.8477763618551872,0.8724291604980203,1.1240271326412319,0.8770399968091692,0.7171604465002049,0.9051868327794172,0.9383690180929002,0.7103975800803214,0.8055479799507184,0.9871777660410174,0.8473312170969753,0.7599190841527635,0.8202054644663461,0.7284387063025598,0.7391859250552973,0.6969638498516783,0.6965652232385834,0.68613898840302,0.5707314552528933,0.6093372854839586,0.5582999816107475,0.554375886786494,0.5071258024673063,0.5734643073109227,0.6264209700760948,0.6133710814754669,0.5754549581308923,0.6083041591805253,0.8407104640680139,0.7778348363689821,0.7785228456563936,0.925330584134651,1.097152603972316,1.0848068534977826,0.8492723345156691,0.6828372252768641,0.6286256330431685,0.879414649218804,0.7989056491705238,0.8299801859245144,0.803648829618362,0.6034203759917097,0.4968621008221543,0.4279961352582739,0.43891023552280256,0.44388305679145834,0.5343682435793211,0.8524632708694118,1.5757040370461408,0.5151518795068573,0.6704665114873025,1.011233066272039,0.8202199463125435,0.5872095094423604,0.8870909659405364,1.5474245893997847,3.166171665455136,4.238323629130965,5.467304191622059],[0.7076401230237569,0.6018059618938355,0.6803511480711996,0.5152835264477382,0.601220830352644,0.6553157595084625,0.5877727958944513,0.6926555024647478,0.6176091560667675,0.5837382706526193,0.6358600148577387,0.7840768735786903,0.6810987241309376,0.6236773110284374,0.771074321701889,0.7814751347098491,0.7284548595055526,0.7737295707412196,0.8018903146778062,0.8015597386576853,0.8718388791842601,0.8310616070928047,1.004585413358859,1.0746290580295277,0.810982209473436,0.8064431722106743,0.7311242491251618,0.7097043323575425,0.7541562065422606,0.7984612921196561,0.9128418894746566,0.9407883130828947,1.0977891676603242,1.0672285678412337,0.9688883788445762,0.8894905687617136,0.8979600397146286,0.812006051318968,0.773237346975668,0.8531347756311763,0.717262983478032,0.7774490335696416,0.8168222285552162,0.8567344368900904,0.944802763404687,1.2337785906039889,1.2694754907024954,0.9086071085743278,1.0078192636446517,0.9599454530504081,0.9838030375626718,2.5926252220247497,2.244125414220342,1.3749564480077057,1.1705818151206382,1.5611705381821277,1.5304370424946327,1.5178208632569206,1.641629004905048,1.1143745925859523,1.0706668667033588,1.0654809597859043,1.086693181780982,1.3020909497736408,0.9767243668338249,0.9424111426528073,1.0629988891833493,0.926040124723379,1.080421094516674,0.9334604176856302,1.1107177165840925,1.5493013665254958,1.106853440137204,1.1709749013430848,1.0076138431622794,1.7874763296096468,1.0215720259447187,1.09543891626791,1.0175830420793677,1.0565732672829133,1.0358889380246759,1.6054036770673783,2.125051014691703,1.243630530617344,0.8757085009465765,0.8790217103660768,0.8661764487707704,0.9873362623502219,0.9307376025821077,1.0279447780760378,1.0175662798474947,1.2342328509053593,1.0947760775839406,1.0604192425307228,0.9568585235462075,0.9920253461145494,0.9194703862860008,0.9851360298867142,0.9365283941285918,1.1465506246639838,0.9752608527304655,0.9789392459582699,0.9049716705898022,0.8986920672611207,0.8753458664860835,0.8405425812250271,1.006078654128506,0.7745678573202787,0.7487035149908253,0.9560712122262272,0.7147621657377087,0.65755440556079,0.641335784139135,0.6230914240824404,0.6502909126469035,0.6486819423155873,0.683149187811291,0.6754261374218292,0.7954118828611367,0.7448596488126576,0.6925850922201834,0.6808632802435568,0.6551820568267285,0.5572581567516515,0.5514756723856294,0.5693726020516674,0.614582787730411,0.6298122862634896,0.6473014755746475,0.7252926496185944,0.6888130618093198,0.7406120383034523,0.702482055329722,0.8198185670649998,0.7123024825117548,0.6969420300318646,0.7612257491922868,0.6116745378576213,0.6417402579363892,0.6369350775792894,0.8765766555159921,0.8352088763020684,0.7284561163529015,0.6819205030904137,0.6949087366194674,0.7226919616510281,0.6692135791397713,0.7004890120856123,0.7164841187837495,0.7048385434307932,0.7555493860043151,0.814281115036575,1.2292520801386246,1.9894534891234348,1.3603973142831889,1.0435029715512727,0.8462365058112317,0.8673701063559016,0.8411216909422097,0.8305445918786576,0.7000263990117086,0.7460107754215687,0.6700839391697663,0.7131244526319357,0.7404528335597208,0.7326352480845565,0.6765477869792318,1.080495209139738,0.9288070426663192,0.9550683908643806,0.6671052140162278,0.6481714288502215,0.6602417050860268,0.7529834544002182,0.7959524160140408,0.8545157234506512,0.8694611875268293,1.1216824950083601,0.9013279724772892,0.975396502295556,0.9537671149977789,0.76315134203094,0.7618448645382532,0.7695022591565367,0.7594692486136384,0.8276628176608943,0.7702177125418969,0.9504721527082679,1.4471508762648182,0.8750758720895362,1.3070935271148256,1.5802219485836646,0.9400658114024357,0.8565992595411539,0.7518393681965743,0.7149183929348234,0.7914379919100585,0.6993490123040186,0.696368410472083,0.7725542616476225,0.7433320809243318,0.804188386747169,0.7274649067729041,0.7209237561481748,0.8040706595149252,0.7926521328244798,0.7593349360103755,0.7726937031395371,0.890492242805255,0.8249912056678497,0.8516740892776729,0.9041410318504836,0.9179646702328182,1.002729165258145,0.9970342860360608,1.0939911821820971,1.1712343045097389,0.9524473475813561,0.8760077781036854,0.9339594933778812,0.8684170542679072,2.2825978025365323,1.2174150045592713,1.6435124219861117,0.9505806283817649,0.9979253946347885,1.0297378165159274,1.1516261468527738,0.9203976399304691,0.8342531869009312,1.1020462394133104,0.9597230626265973,0.9630083975533046,0.8743743345215398,1.2108606375475186,0.7896308019873177,0.869699664431038,0.9955051582495404,0.746427697406606,0.7963217150504414,0.9174128781613542,1.0583012954819406,1.1534828063902625,1.3298419926279426,1.1794780918717016,1.0992253130242557,1.1311443262901473,1.3805332290851464,1.136265292959918,1.0112936903988614,1.167984096793272,1.18674491957031,0.9909907885710268,1.083650618516754,1.2400263583730213,1.0812973020123637,1.0176710458137384,1.0839849947299793,0.9964360035880119,1.0211634939087237,0.9918431655475046,0.9846870063323018,0.9644315741250604,0.8557389017032958,0.8848027489147544,0.8352925290640426,0.8261461104703997,0.7745380488331698,0.8164422508518802,0.8594236217761597,0.8304553573475101,0.7661848822319739,0.8321070186612047,0.9437779189833088,0.9008432949110554,0.9059045151882521,1.0049912568690578,1.179552484306221,1.1967284730175747,0.9458791353562598,0.8490366081203143,0.8052813544594629,0.9694889033558228,0.8815913686496619,0.8991165854934162,0.9063101358158153,0.7790046438569802,0.6898939961956003,0.6760254468487632,0.6567320673641851,0.6645539214161855,0.8490677773114697,1.1356168936490565,1.7264961813629391,0.8016364274037251,0.9460372620611683,1.2777984361404386,0.9979216242184674,0.8139281573489198,1.108631050036105,1.788229587841963,3.386049601950367,4.538364082580029,5.855998222415609],[0.6859813989302826,0.5435216278478793,0.580873389610541,0.45928296885377545,0.5034807898517825,0.5448648474555412,0.47768931716148433,0.5640377307462375,0.49600711485528237,0.4420629034451966,0.48871929479159365,0.6564649291050285,0.5434761332054417,0.4678411944314931,0.6211780333823016,0.6463448039470895,0.6099670246509779,0.6583067571531608,0.7265931550003453,0.6914568882535583,0.7313692035961353,0.712139629207147,0.8986233994314314,0.9476939138154191,0.7615455654258302,0.7396173080421253,0.6135636948473022,0.5939939468285346,0.6258970488721773,0.6721901121927646,0.7913058474205099,0.7972917907507333,0.9815303400352998,0.9488421355169733,0.8423021719428371,0.7655221101735568,0.7709340105004607,0.6885382569436285,0.6316546288402298,0.7254466809582047,0.5860558165733039,0.668679952516906,0.7531794720035926,0.7157428431103594,0.8443424076501173,1.1221816368552087,1.1719913654644947,0.7899121283973973,0.8362590866345333,0.8312966847278103,0.8258384447772839,2.432970517049405,2.072107348232727,1.1850244318208194,1.0105123431478602,1.353950087744849,1.333324135463886,1.3128196338937785,1.4392705246737447,0.9529435231514569,0.9826423579490577,0.9977342222753757,0.9879517913859487,1.1897441658532038,0.86864560892009,0.8569039336843686,0.9759345599584047,0.8056347854406705,1.00138540420618,0.8319614092530794,1.023557059932714,1.4730002101789497,1.0113672773321807,1.0717060512942678,0.8969827195374219,1.7193365599298847,0.9057952670094078,0.961141220848466,0.8775649460670546,0.9037100816820577,0.8701481479280858,1.455886861088874,1.9588471069989508,1.1729108810922553,0.8009808575190002,0.7869635842287044,0.7505515798896878,0.8582523734913486,0.7968155713969594,0.9051812909337741,0.8836811295083862,1.1202372016959854,0.9677876846694407,0.9430156517001037,0.8330913574830943,0.888259549092032,0.7788423063059107,0.8584699304256664,0.8038453557617333,1.0679095639714198,0.8422177224414136,0.8441863231169119,0.7744332986423955,0.7831320324028322,0.7551318469827556,0.7086260823350905,0.8914611523755122,0.620639197566543,0.5988232688748807,0.7895779474372286,0.5680036418257605,0.5271246283067499,0.5129643228993641,0.505094070457363,0.5308539211884648,0.5261526866248429,0.5647709157408886,0.558824078883811,0.7085959827236779,0.6482776558153194,0.5873556931651768,0.5664443200362383,0.5460459047677394,0.4369090672686895,0.4470221681427675,0.44566584902411954,0.5613357926582538,0.5035849530185613,0.5308472375089374,0.5827932943767187,0.5495235381755443,0.6163941481208957,0.5466051337536894,0.6772975912750899,0.5637234235074038,0.5494171877155837,0.6668300284032668,0.47022735684494327,0.5119617962473544,0.5232837923625039,0.8084037349852925,0.7437261824729878,0.6343278439169426,0.5646987397374964,0.5682995825063945,0.5948536878235895,0.5390202018294331,0.5608609188257324,0.5715113636435628,0.5603179421493202,0.6251823331008333,0.7106722435019097,1.1238252035292733,1.9715725034636504,1.3498216819241011,0.9388402134398611,0.7171378559870217,0.7461293227477541,0.7057745886696357,0.7116503665444206,0.5640697800333304,0.6156578964467525,0.5311968082474638,0.5922791544760506,0.6826985676911018,0.6126908160731768,0.5571176626527278,0.9807912111080132,0.8048360190438252,0.8373577694178521,0.5184165597629742,0.5121398519976549,0.5025823394859342,0.5987528474860654,0.6401116394448113,0.6935950024093005,0.7170784262858901,0.9938996007915023,0.7388617194933254,0.8307542053453024,0.7937355098012536,0.6215991591470442,0.6126013521809205,0.6192249830978566,0.6028663583453084,0.6778639539962369,0.6215475583739667,0.8290371270373523,1.311924777154818,0.775408575720182,1.174618354913135,1.489463191612143,0.805442005380945,0.7027400610003751,0.6048414394699165,0.5879172999088992,0.6529881853453582,0.5676785273014754,0.5870693968035299,0.6508414661477807,0.6225464544294435,0.6872715580584722,0.5959702365800635,0.6078533804129358,0.6909769280792378,0.689110736216878,0.6520172690351679,0.662374495399548,0.773112611936594,0.7211287598544901,0.7511306581825666,0.8062169048737046,0.8289088274445233,0.9130286367913213,0.8936302180443819,1.039241456421542,1.1085770041714051,0.8390155209216145,0.757091549064832,0.8386979798855186,0.7709314855125883,2.3090187403470015,1.1863356896320878,1.6064817229452593,0.8710271981512848,0.902298346498145,0.9324697261861302,1.039907229912582,0.8218021392826999,0.7134908282073731,0.951731855569643,0.8716383837854308,0.8802187723571658,0.7322473027045856,1.0636007356142503,0.7071297270078265,0.7483848392877299,0.9380511172969735,0.620080867946789,0.6942282753441539,0.801876337018582,0.935516914578427,1.0513367950828576,1.2385118589040898,1.085227590697893,0.9935435871582227,1.0275443675993001,1.273997207004362,1.0212394529188618,0.9011283781199154,1.0620172142784678,1.0907551017509283,0.8927528433981193,0.9895837860760149,1.1589849404716406,1.0181367198243847,0.9322433158563952,0.9982754372247883,0.8957418652765349,0.9151649747716158,0.8771087018182057,0.8707728679623953,0.856914875038748,0.7381374054903669,0.7702746878843032,0.7088739440258325,0.6833348560517648,0.6638831972108877,0.7132385760568215,0.7201072025923727,0.7054925741758542,0.6702300954797296,0.6984271787826201,0.9099294169363196,0.8396740007002567,0.8215313168491304,0.9472287888928279,1.110398873593251,1.096813068724141,0.8507649591743235,0.7503414937509515,0.7007048392543798,0.8976281512590085,0.808867741138911,0.8204941290805733,0.8367068933011269,0.6941471705150695,0.6047809265092959,0.5654486241284462,0.5549713526863398,0.5781280834183319,0.7176736057578552,1.019116909436701,1.598596085826709,0.6913240479138684,0.8414109880380026,1.2060841164976164,0.8870883036739804,0.7381308201566789,1.0191349434541435,1.7840649675754217,3.47677389329439,4.728276706525691,6.083826143429142],[0.5505729307951398,0.37839064658928945,0.4247912264457753,0.32741814128992075,0.3934750082016056,0.39278336920878487,0.3251724587991325,0.3891103269665466,0.33241132180647476,0.30781997038268943,0.3710654499461718,0.5445022255325056,0.4378402513910756,0.37473119918131453,0.5450551149718533,0.5708028151356617,0.5396241521188286,0.6148397069881688,0.6938069035685455,0.6584442214309364,0.73056042938228,0.700241182491121,0.9224425019511757,0.9930652497455963,0.7286278103992067,0.7113536940985236,0.5677145664299473,0.5323910466801741,0.5528907735068553,0.5920740894181966,0.7378255177384608,0.7209227810491085,0.9209696743454642,0.8770945120142563,0.7650072904992329,0.7054109325720609,0.6897312176219899,0.6119731405576753,0.5528698875091667,0.6269644859982219,0.5317085444272631,0.6277520359491465,0.6952497955098641,0.7065863601905225,0.8763777855990899,1.1580160908045003,1.239351477472181,0.7971136449397956,0.8442476549769273,0.8436663230445278,0.8272054524787572,2.394610710612421,2.1067672413197402,1.1318693360734084,0.94011576242954,1.3015676107503276,1.3050901022526227,1.2696889105015705,1.3850273078568403,0.9022345823570781,0.9405747177262272,0.9357096630738653,0.9381074828801156,1.1754984346274393,0.8365035740262856,0.810187065197166,0.9734247382807775,0.7888536820258572,0.9669715085788403,0.7901248112063765,0.9751569115263705,1.4025446148736778,0.9776142123495742,1.0523789129795311,0.8796373544857761,1.6924813675323738,0.8610789990749088,0.9097124085336233,0.8146483357844088,0.8365032017853755,0.7996285816050487,1.4539898718728337,1.8911452505162203,1.0294533495127538,0.7118507805032711,0.6875737152481233,0.6704606221811503,0.7790848890951291,0.733564098090816,0.8546990542353047,0.828410082560246,1.0940800563792576,0.9281560074887176,0.8988980286547362,0.7822725387568674,0.8641384944478129,0.7224131658850291,0.7934554115467047,0.7185680045341166,0.9618240209641404,0.7512392821292674,0.7275783869540857,0.6735734347633168,0.6620396290270749,0.6270606892118664,0.5520680996480946,0.7415618098484938,0.45776451181093253,0.4419910983555519,0.7032271920983006,0.3959989597,0.3695052590104188,0.3524309340665876,0.4072835718822115,0.4494810627597611,0.46253309900982364,0.5144552583092235,0.5442528366613436,0.6805953111146662,0.6034807847676931,0.5452072200513408,0.5243775528272135,0.5257316589853757,0.3839819125290558,0.34497605200817316,0.3411371913236146,0.4949293236591728,0.3822084156050852,0.4027290943694532,0.4308717871385207,0.39713907204936416,0.4711905381129499,0.4040236410232764,0.5459075564109028,0.4496931322448937,0.44450087523422666,0.6365473209091036,0.41433407252977916,0.5001973377747726,0.5077728683619442,0.8353197035374476,0.7606773647338129,0.6033107428779039,0.5363251874777413,0.497079209998037,0.5059549576200169,0.45490679832598013,0.4504602112179986,0.4595290680798086,0.42529367678031943,0.49219660504240237,0.5785075270491341,0.9697822837739307,1.8923584125085817,1.3085206450786786,0.8027296940751246,0.606407786365279,0.6164757917544966,0.5914133959305315,0.5725919770401935,0.47354456580903964,0.4986402381638923,0.44747087901716154,0.4959456468762719,0.6244033779688258,0.5972484519926666,0.5302766370313583,1.0367889432075574,0.8312578897376207,0.8385527790390354,0.47314332108110435,0.45414150804743003,0.44288737739781353,0.4855926193208353,0.5166187531114083,0.5632077497454462,0.6018016083959468,0.897128508747159,0.6230173554884537,0.6911392203490553,0.6928680744407316,0.48212013498752926,0.4770466565295193,0.4770925482237076,0.4921878797168861,0.5705226296241032,0.5437592301772106,0.8204666359061399,1.3407534244181891,0.7943960100022341,1.1735624316111692,1.4774195268905905,0.7688506645642607,0.6573003441742612,0.4968298570950885,0.4686891887199105,0.5463060363528042,0.4182029402174941,0.42683880380023687,0.5217571660873399,0.4272730625189685,0.4908054448716908,0.4004040209382642,0.4026934419993589,0.4745778553804531,0.4788370633358119,0.45748765830743904,0.45868310272862445,0.5605318544353755,0.5311162447117715,0.5807113058496951,0.6186037241096789,0.6549909737876536,0.7729002258179426,0.7685564927861092,0.9033327852914363,0.976781735100943,0.6946068650443238,0.5724724544774542,0.6443101087860095,0.6048202770094395,2.2596877389794887,1.0345508684369562,1.439712323071523,0.7224745351803036,0.7497490713921053,0.7841631190018007,0.8794716779256506,0.6422328427447291,0.5084882626396785,0.7718788898428953,0.7104297442492148,0.7561112843477398,0.5529097756089714,0.9518654467549174,0.5700122088348082,0.6370901209999198,0.8631848292972344,0.4441479421254811,0.5500410355600952,0.6414586409787948,0.7681971051869974,0.908499006873347,1.0581727412779194,0.953835311862759,0.8370175815758798,0.8393252801686036,1.1249939928153618,0.8665229583970986,0.6951314273853513,0.8686483957310237,0.9072326704504474,0.6838553028058509,0.7598850230014973,0.9573233654781385,0.840698468393346,0.7268092133853207,0.7749052083794526,0.6775164461014447,0.69429502066554,0.6600051346707176,0.6684354360249163,0.6162869574321208,0.5211527144515274,0.5695403476081171,0.5002307265130533,0.505594405368487,0.4593567583329915,0.5228024124802516,0.5720660167054576,0.5631068720501557,0.5273820991312463,0.5439556154304257,0.7948968517457629,0.7274433033075874,0.7206067817602604,0.901054517336966,1.088632230193046,0.9876990183576556,0.7514143144900418,0.6043744839592763,0.5571922588835232,0.83082752936347,0.7142238829943299,0.7433392077057429,0.7441471337391793,0.5653087862369771,0.4841500694476998,0.40348854352512364,0.4137438687308899,0.4234449113266731,0.5168033285042415,0.8282018001287178,1.5357422253761335,0.5143182477779832,0.6488669015898836,1.041537274866866,0.7738267836204028,0.5998170229777423,0.8864928461318505,1.7179091189686622,3.4812787212451255,4.741293072138082,6.12000178513231],[0.5520754772384832,0.3828365060620882,0.41410213435371357,0.3274909115391693,0.38503212028369677,0.3867963169682458,0.316312487963791,0.35669453971785653,0.312116243299938,0.29300604796571733,0.3520179934508903,0.5039030785616049,0.40831967985897505,0.3572091530090791,0.5229269781860023,0.5275873293858859,0.5100828978204756,0.5699626242607561,0.6336846820019623,0.5998038079297603,0.6641347261636942,0.6433118703387849,0.8346517971783252,0.9008594334657387,0.7015988208791899,0.6591540295345689,0.5214143301323407,0.4945849050300038,0.5120869984065747,0.5451839478087581,0.6678148180386834,0.6419414174574963,0.8169107145892835,0.765304047985813,0.6700407839721534,0.6282283193208975,0.6166087182121367,0.5569367091690132,0.5055181984689345,0.5676264623694133,0.471390167033723,0.5610113504486469,0.6261197593270773,0.6478343577371318,0.8303411921222468,1.1502377001730277,1.216589796770864,0.743500675306731,0.8164772002121675,0.8334004120149238,0.7903500549691836,2.3937660156375,2.06296680588323,1.0798437886475134,0.9191132815659443,1.244508286267727,1.228850884020982,1.1705551450585645,1.3102170743101291,0.8203513711850989,0.8747733574715071,0.8601423696988372,0.8307050917135135,1.0732667129199098,0.7506966305312169,0.7328601248644498,0.8970119593263246,0.7191456964973492,0.9090624844842661,0.7486020435620059,0.9600284511025127,1.3728975357841124,0.9297153561820031,0.9554242609678956,0.8061760124396852,1.5855965539087034,0.7638686735621101,0.784028006557001,0.7002244917692757,0.7342768003542576,0.7025393387382121,1.5228121131468937,1.915468637995922,0.9334620419465527,0.6732031206291095,0.6382095058742715,0.6006196729971487,0.6846185897830553,0.64537164241064,0.7457383005481284,0.725704965577101,0.9810201298724691,0.823741330302035,0.7919451816560626,0.7115573937550175,0.7899684875036128,0.6938237466083672,0.7149905941996937,0.6526940547119263,0.8875227361533283,0.6711003161521917,0.6490865218964107,0.5962425377750143,0.6148247839531683,0.5813377895922581,0.5141786444920642,0.6918508049433524,0.42706229643006594,0.42280377608123937,0.6888344927846763,0.3711651369832044,0.3440949749612097,0.3315879338571741,0.38786258773807325,0.428410522079784,0.4366116307601762,0.4846809728915208,0.49416658002595937,0.6415682610510612,0.5739972777448568,0.5126667058617216,0.4915234443983192,0.49058190316301165,0.3661445340486751,0.33503627151475834,0.32722282448403633,0.48290019329180967,0.37517883183698364,0.3836262298293568,0.40866239705093854,0.38685039045896913,0.4516125008834823,0.389514666073993,0.5240764074901894,0.4409989167159622,0.4363630133519832,0.6262640841085179,0.4011943101619833,0.48388214574664223,0.4812035103574614,0.779041943280107,0.6896480680767638,0.5564519696268355,0.5005092407308441,0.45794361039386755,0.4708522775973596,0.4241139309366427,0.42451817807026393,0.4283017327107222,0.3962948570571328,0.454672755798035,0.5465531913476218,0.907392248812506,1.8591430974765133,1.2992692612445207,0.7326077436997781,0.540357646833655,0.5520322806297248,0.5408037659132356,0.5329340465063436,0.4468535650342949,0.46485513369956194,0.41519880054769764,0.4531044713248685,0.609433941127639,0.5651535035810684,0.5092628406828215,0.989408758953954,0.8022799419219632,0.8221420196991746,0.45430198617536516,0.4372775970864769,0.4150766931825185,0.45093594862979647,0.46744768086138316,0.5089873129709965,0.547189974869674,0.8372305523917494,0.5570624762686662,0.6344447429599067,0.6680328098481297,0.44639550333445477,0.44493943987703616,0.44476662250983173,0.46713099599999147,0.5280266038106625,0.5004625430580589,0.7827317219385661,1.3480932064779567,0.795880503507032,1.165346003215329,1.4555026417766925,0.7594139725951632,0.6463756572154318,0.48404783665803486,0.4622820611326452,0.5409157781443724,0.41121424945098295,0.42298752896215724,0.5149789046683185,0.40785031742935346,0.46032178429231996,0.3841385405517312,0.39101685494564065,0.4435900789554257,0.4538995073031316,0.4426159951676462,0.4351919166656004,0.5200035109839312,0.5008735973094144,0.5475354797279429,0.5754007839287164,0.6215259594793662,0.7558773736180407,0.7379052015101365,0.9022477055510484,0.9424542953599244,0.6574242776469787,0.5383272418630949,0.5994213923255939,0.5644783727136954,2.2535104949908047,1.0050864331324036,1.3945831555268091,0.6915552547261788,0.7240761738120558,0.7536547388559317,0.84196998907766,0.6122123026521623,0.4788971804260094,0.7290208210701187,0.6797612480247106,0.7187647246115906,0.5250176240503718,0.9522239965389575,0.5664296425000858,0.6371839573858574,0.8667475004668941,0.4371107087700112,0.5399430261527016,0.6194890845458965,0.7255131492576173,0.8630048961869472,0.9965833588259617,0.9081585182315048,0.7882485297070883,0.7842113791431331,1.0712933424880335,0.8151519333864782,0.6521274638705105,0.8144487999573617,0.8560285704838279,0.6369153509539214,0.6993597245377988,0.8864071505753974,0.7893590978966989,0.6726544346676674,0.7123505327108027,0.6208157523745187,0.6352428185460599,0.6062630380875297,0.6182857682928844,0.5612425609199923,0.4739313365337706,0.5232447355620236,0.45680541952378795,0.46368912580678373,0.44094613333586596,0.5033682420758454,0.5473518107173552,0.5401642802976526,0.5204926753854838,0.5310099208935902,0.7965805901888303,0.7272576127033427,0.7162037584518052,0.8970578793953721,1.0976429700608454,0.9476246827602082,0.728518680235559,0.5922999600500749,0.5472761551271208,0.8319978965703593,0.6957615059996425,0.7203049862874187,0.7339822161602103,0.5587255692283183,0.478943125299658,0.39540911747814317,0.4058403674877771,0.4124559683444836,0.48707899411170785,0.7889946263123228,1.5244858028521495,0.49647393656070965,0.6204592552343006,1.016950325902415,0.7599457695597549,0.5912114672057227,0.8545595314183908,1.7288337704151253,3.585085378734435,4.872808211043555,6.2654239421150715],[0.6109237354998935,0.439710697090565,0.4916279973896136,0.37270402479009973,0.448100261043374,0.4770485970510417,0.41519627506825524,0.4675705548565858,0.4231313143423862,0.3725141485327868,0.42249952303437843,0.6307891054952183,0.5011045973561522,0.41945012905546963,0.5778053376858989,0.6121369513585958,0.5747249145999231,0.6463991841336884,0.7212542188743489,0.6730997830715078,0.7454586216180369,0.7248206859076712,0.9096912667127246,0.952249330920813,0.7559709711279041,0.7414563566046504,0.6143279069214642,0.5808467876663278,0.5940700490436915,0.6394136004282256,0.7528697603683885,0.7465991784098382,0.9252055575337668,0.8711317131049474,0.7794707195597095,0.727810807948268,0.7348315480345898,0.6515210155009639,0.6031962742628314,0.6900016288646139,0.5720653629014222,0.6416934163799823,0.7275068874001208,0.7013492149920322,0.8493231471412187,1.1472069165467607,1.1763737787102375,0.7883191295433243,0.8500920340285765,0.8340040179374442,0.831332954994736,2.44591302469278,2.1013085913134115,1.180727792588162,0.956762087515193,1.3185224148372388,1.3274869451467541,1.2916338753313832,1.3846339611842593,0.908991521559928,0.9401421289819912,0.9366108551932657,0.9214266339607445,1.1535590884699265,0.8374554275811353,0.8129703792106735,0.9466284328927912,0.7869147492991663,0.9824658237601169,0.810746455539181,1.0303766657640263,1.4880779921652993,0.9959785367313538,1.0365836536492732,0.871859545387104,1.6438556579627521,0.8488105001578822,0.8689128947220442,0.8003619971253391,0.8319862497804644,0.8146340873967165,1.4616687468879823,1.9053931262658983,1.0900283718225388,0.7704433516304501,0.7356716604750831,0.701787953803221,0.8045517589268238,0.7451419624935324,0.842445219314471,0.8136296707903768,1.0467687449123988,0.8913931746342071,0.8813629931029431,0.7954725910054913,0.8686726044428792,0.7366633560346711,0.8110187340463334,0.7538161512069178,0.9849823563050711,0.7889711414006452,0.7700713630488905,0.717499800917118,0.734985566743514,0.6780499206863727,0.6170737081675565,0.7703783455309002,0.5439192723625658,0.524644886334534,0.7386851476420869,0.48665291573152747,0.46896813530443804,0.441943223607251,0.4782950874757673,0.5146884799553686,0.5047599943587706,0.5698047782070046,0.5617650722610259,0.7102877177504499,0.6293016778099374,0.5707246548002686,0.5665656527581654,0.5617636236532304,0.43051193571056323,0.40539410905049833,0.40331774152856037,0.5561521227801413,0.45306037955835365,0.48853432261939567,0.5051508130823296,0.48197625202470884,0.5427499339902226,0.498985781780595,0.6257024469260346,0.5297534501963901,0.5072192042673789,0.6223922747427115,0.4535100872760866,0.5137693987976367,0.5425161794609319,0.7858676457302743,0.7394460502341985,0.6229173083130685,0.5812197647513316,0.5486288099509109,0.5653694862274897,0.5244553870980637,0.5194858082764429,0.5395715216719893,0.5015941889121855,0.5678775439344692,0.6655736321596963,0.9713859997278521,1.8672071479302192,1.3631471885754323,0.8451530154373516,0.6647319436511204,0.6646926400086741,0.6670044880241159,0.6450998443191537,0.5501562180016177,0.5662520585399479,0.513181473097644,0.559633441234993,0.6950332787626045,0.6301835114706813,0.556682988972131,0.9753203841039886,0.7993045717059023,0.8251266128967146,0.5051314793587444,0.5101629787000761,0.5043776533336464,0.5633576251817625,0.590755223563515,0.6324274190655281,0.6694071695116343,0.9553659858314185,0.6830492243196409,0.7492188829583081,0.7365477937030802,0.5743235108936617,0.5697758026181183,0.5716704283903647,0.5767526044128553,0.640014910745369,0.5936973890441943,0.8185890437910925,1.3070678225334937,0.7609922067941574,1.2174322034889933,1.549810553097444,0.7971003593165968,0.6835844868252877,0.5641053052988403,0.5384258455098453,0.6035243747353637,0.5073811634083649,0.5162495589270883,0.6086037199739067,0.521227544302699,0.5856625208437171,0.499602568306136,0.48643594861068856,0.5675798189690376,0.5790507451670552,0.53602067995518,0.5293111914037625,0.6324488310487743,0.5956240448420107,0.6170449478248795,0.654568831337306,0.717781307625816,0.8136275861429881,0.7760496383693143,0.9599281140370624,0.9570449617875886,0.6827765817270124,0.5896255971800402,0.6576912457054818,0.6277144920954397,2.329554464254695,1.0685451698791322,1.4336950862216962,0.7901810235411921,0.8412390347268803,0.8634443041588667,0.944573484474277,0.7156249153490939,0.589243979643219,0.8055200785853858,0.7594986007054502,0.7480102784877174,0.5979781395279905,1.042161139357841,0.6116322067535528,0.6849495550952387,0.9132782780019756,0.5177271699593813,0.6343256085613475,0.7223619838606948,0.8282202632217807,0.9781606870625493,1.1178541949402818,1.0329152081538147,0.902270976267258,0.9031896700517116,1.1882872727820977,0.9185650066034485,0.7758523173842147,0.9157800958830432,0.9425908453391825,0.7477404848892633,0.8032265005425128,0.9597219330859256,0.8652687788895522,0.7720109146490525,0.814434604081934,0.7186791027129801,0.7459585280826352,0.7281528371241156,0.7362723625066032,0.6669820131430825,0.578612381190288,0.6206222759598481,0.5535591264498877,0.5458057392252379,0.5229017250985892,0.5860951612844838,0.5820846647384389,0.5782895700390139,0.5629548574669765,0.5792831004432683,0.7999754768841572,0.7424359303447967,0.714541818631686,0.9007327319728539,1.1255996254614655,0.9344242986752872,0.7218471162899104,0.6244126285889645,0.5830379392950158,0.8310582358170377,0.6927597368854741,0.7027769017050083,0.7482658087442754,0.600785736552319,0.5447188733091757,0.4829998555163886,0.47625950655474497,0.5064823145641271,0.6065015760651361,0.8897294255637317,1.5387095552179169,0.6096773301029685,0.7354711382556937,1.1195840998540176,0.8026894025304241,0.6974959030827143,0.9481559081659994,1.8605629131581398,3.714197344310198,5.141328771260009,6.6731303176197105],[0.7010076855695042,0.5575784215270059,0.5744412320358817,0.4844681211405856,0.5068154347044892,0.5674734916512291,0.47559423529655365,0.49869803961235637,0.4789940164854037,0.40853150231892027,0.4341654805778367,0.5835639683816206,0.47560886058969304,0.4499868247585637,0.5771001301738539,0.5738060276888779,0.5881867613226457,0.6559852945964472,0.7381384592580325,0.6839488566253272,0.7377453112896861,0.706202499826993,0.8877609226540396,0.9364855250020719,0.7921759693273693,0.7450757433942816,0.6432996692770387,0.6117025471495666,0.6003928607842227,0.5967005597165228,0.7014469253346257,0.6472565007340926,0.7789145782387513,0.7574017876585588,0.6789118508673635,0.6679108829661982,0.6412063994407505,0.6280366222111234,0.5889519084514223,0.646919865621414,0.5748181908412009,0.6521577615622803,0.7273663785138985,0.722934065385868,0.871077941897048,1.1882154357125172,1.1923167524634708,0.8088377357439303,0.8698298721545292,0.8802230589719291,0.8534446901629842,2.4450262289393603,2.057112815177032,1.1452163703020954,0.9771175514671994,1.2925223115798736,1.285089113776373,1.203167494584052,1.3449507851461469,0.8853357151287118,0.9413523525093167,0.9065022842924565,0.8605310258157188,1.0699685193474002,0.7972017254670145,0.7966872205843621,0.9440426227822455,0.7970561889221063,0.9761386017507886,0.8570542901947319,1.084797633574648,1.474417034877662,1.0456152343972227,1.0049044044306936,0.8823895915259475,1.5918254301665222,0.8044772648731352,0.8038220956120372,0.7263248990573592,0.7721688778534951,0.7328741079835265,1.5842115286850251,1.932889345696477,0.952335890028729,0.7159341594979823,0.6650657442531733,0.6495495182484321,0.6986447375502544,0.6846177574443301,0.7578803527655925,0.7523315549698766,1.003160332093442,0.8344962601254883,0.7698102639278845,0.7194862070763542,0.785117827106505,0.7089457907500553,0.6884386142908658,0.6399244265655658,0.8574350599205298,0.6565475226436331,0.664493321020329,0.602689054946564,0.6520993951796182,0.6093047099043253,0.5803013884395496,0.7351249689002662,0.5290361604755381,0.5365748075149677,0.7754565835897997,0.49359920340738866,0.46362089120244077,0.45712038330204396,0.4868779235569951,0.528278431091363,0.5622798479450833,0.6124940817294922,0.6143973016553452,0.774564810262653,0.719819606378735,0.6545875819667593,0.6165261023757472,0.5972209346429106,0.4863141800762391,0.46478748140756593,0.45036046331751295,0.5952598568369555,0.47079918129551973,0.4967375670060059,0.5033017886688104,0.4899768216623822,0.5385225317134906,0.5053689578140796,0.6154050460717908,0.5385021235470895,0.5140854233923584,0.6613087346414193,0.4910236743410311,0.5678798861484798,0.5938201437133697,0.8180561744148923,0.7586944988383323,0.66823421072229,0.5960620912360954,0.5651759187089788,0.5736133260450538,0.5378527277537374,0.5033675485473394,0.5069133585258161,0.4851766655313937,0.5576472609881894,0.6756639076902238,0.9041514449305171,1.8159736181914823,1.340699195013179,0.7401483299076682,0.5794099599291255,0.5901883254490673,0.5849357060734561,0.5907183841622826,0.54252842211357,0.5442285880694129,0.5224075754942191,0.5446080266579683,0.6885225821887276,0.655611286916378,0.569557041599497,0.9477192057215559,0.792688748069429,0.8424583980711777,0.5302133601752264,0.5424445631851172,0.5113288798618908,0.5432903821347094,0.5469512754870318,0.5574059522200983,0.5893314473052925,0.8604414907182515,0.6082230825636451,0.6677015524976051,0.7048358440458815,0.5230492812255494,0.5274944353574027,0.5414475771396363,0.5640345907391744,0.6258315207033476,0.5910368557914137,0.8219534060644634,1.3345458440149724,0.7854116662409852,1.1961655785749727,1.524387659168063,0.810053893510375,0.6997935522014855,0.5780602920207847,0.5467709631947398,0.6226140520784981,0.5171441501682442,0.5245846041820971,0.6304402155279317,0.5477950175704753,0.5950124318964397,0.5264160230399569,0.5245288430451089,0.5749480568761782,0.5930764335514898,0.5736129031517465,0.5676444062104943,0.6440674093260447,0.631545376286325,0.6527187529557198,0.6897346353219119,0.7538223951236092,0.8453579595093889,0.8075430877149962,0.994728265158778,0.9637854907186181,0.7001637747722413,0.6343714551321642,0.6960743794026661,0.6666385542599235,2.321555006839663,1.0445507120587378,1.4556343574812949,0.8152024780319286,0.8334328670559114,0.8349512513084677,0.896367948985059,0.6946614082827427,0.5891440470052474,0.7865925914734405,0.7423416145227711,0.7253195569892483,0.5936523916301542,1.0619721599027954,0.6225494011402837,0.7048294201925254,0.9198219053145893,0.5272465012216841,0.6376675027238365,0.688140898352743,0.8029282184590792,0.9388966477068386,1.0691502182011376,0.9989131967276138,0.8739441819460124,0.8771114501642485,1.1322660267565896,0.890245695980743,0.7455197093071035,0.8891461366255743,0.9243022811802409,0.7251028208178718,0.7831486173650587,0.9437280457532039,0.878908264255191,0.7870180716818224,0.8136259220163004,0.7354478661922998,0.7417966534930219,0.716648466708236,0.7353095398849674,0.6797849511482839,0.6043031725863846,0.6373451269178534,0.5917963501522169,0.5974891012849783,0.5568408769605607,0.6148210873664545,0.608830202934051,0.6131865237486228,0.5955842449745162,0.6251133862239847,0.8513669536032266,0.7857522234283779,0.7619972438823865,0.9588744601363562,1.191053695693915,0.9104094795252857,0.7582463484558403,0.6442801156021409,0.6415386416124805,0.8976391179860318,0.7243389172222231,0.7256276974935677,0.7704958686584252,0.6422011334040328,0.5787584834132694,0.5031427072574913,0.5043046129478962,0.5379948940924001,0.6176471601089732,0.8746956113869108,1.566193188443141,0.6353954137793236,0.7482530516385542,1.113427576295124,0.8209321637640282,0.7697745467766981,1.0007198600369827,1.9595661080772901,3.809369675942728,5.241574321188825,6.797591033354556],[0.590539587536816,0.4636673448958902,0.47631401968450826,0.42101880669577885,0.4664081734919194,0.49770085496659544,0.4182949791505812,0.39971148289828423,0.3890029207914847,0.341554204187935,0.37526076051063656,0.5042742270643763,0.40353220155351743,0.350615081658925,0.5000837086330561,0.49578108689012057,0.5123847005458301,0.5516286541380231,0.6205951727025362,0.5879382281534797,0.6686388734178267,0.6468570109742776,0.834279683110962,0.9752539856131097,0.7130936668309149,0.681683804959187,0.5223168374960269,0.49794072554017677,0.4858104329326943,0.5233405847488625,0.6367995910154076,0.5833887303376776,0.7724064729050345,0.7235999569282285,0.6144387931404387,0.5957151111035683,0.5612564746428503,0.5256423245235614,0.4902344721986992,0.5118400041549483,0.5005720960216149,0.5555252790400171,0.5869935413357652,0.7036496217431417,0.9059970240545167,1.2161589017515764,1.3260617483936388,0.8162417553251476,0.86481498320975,0.8941907347627089,0.8491217633798201,2.366247303183757,2.1410023736276993,1.0576883321176305,0.924107334388213,1.1948402529279913,1.1957224162858495,1.134923854504345,1.2238858638652008,0.7912344094818149,0.8629073586587234,0.822986427958682,0.800254563410082,1.0631189276219317,0.7321985256472316,0.7098586382109554,0.8955638101652733,0.7012772189414404,0.9089102221949341,0.719314936285771,0.9197530626717907,1.2733560214616626,0.897773889444261,0.9629828907155181,0.773001727944008,1.521894407693139,0.7205718429211122,0.7412972546719295,0.6538788787535845,0.6797404284650236,0.6497608127894078,1.5721774979075813,1.8519365137343125,0.7714669498131517,0.6557987991788742,0.5833634933895916,0.5541251485985793,0.6348412625169502,0.6039874976693881,0.7129282647169599,0.6975164063621498,0.9861307039163681,0.8243023314389066,0.7699473475200144,0.6946161615753981,0.8004556282100675,0.6790350041213834,0.6744975809477165,0.6115916463255718,0.8307993783710058,0.6134389899138114,0.597799347572679,0.5476953805761645,0.567926275377803,0.5257004764927684,0.495753194624084,0.6344437735614521,0.44034386261123204,0.47590880731968804,0.742637221321611,0.4113298654705544,0.4096091979421637,0.3900710348217882,0.4325804401265822,0.4603856635355077,0.4740494845304719,0.5130666034156507,0.52024030854791,0.6522010681213181,0.5765579194167112,0.5188322026738468,0.5169170787770037,0.5308795062202186,0.40607790700102386,0.3807239500906033,0.4013461444774243,0.5098784943081948,0.4253420906128911,0.41684176476559953,0.455788274496898,0.4632315871171289,0.47519510886974214,0.43560229413239004,0.5354998446247006,0.4778671826058167,0.4867335655636721,0.6525034720956956,0.4506350914280419,0.5089685825741488,0.5324907737313781,0.8241160594141235,0.7718901659070102,0.600167243792891,0.5466007533825604,0.48803482186664293,0.483019159949457,0.4455175713806373,0.42093626170175613,0.4302962555602595,0.4212085882860002,0.47249647310970205,0.5897259537668229,0.8616533439626732,1.8288925690393933,1.3235562309375675,0.7014742110952252,0.5068972425641564,0.5088312552140737,0.5023712715933808,0.4935454374311459,0.46855367054762326,0.4580542732837887,0.44921488720805164,0.4727815169564804,0.6225956065872992,0.6244357261736116,0.6079564537764134,1.1294778198468998,0.9236279866110806,0.8916407724490001,0.5130382054264349,0.49121435392486257,0.45573394520929755,0.4456283335501176,0.455936051582367,0.48137285235155736,0.5081380532713807,0.7761764861797371,0.5316346317335543,0.5631442607216438,0.680872944142244,0.42972478644641077,0.44692795351565995,0.4703857785262158,0.5022153785097367,0.544533068343259,0.5373754893670002,0.8579844063459978,1.3889928561599272,0.9116402187883035,1.197471767824919,1.4500226219602426,0.8016562806428292,0.6819330786617346,0.5280319373455004,0.5362388289963894,0.6233460693283643,0.48875836107398596,0.49270196045277426,0.5706996066479648,0.4700376282377215,0.4992400787782678,0.45265706396720823,0.46964694254852485,0.47968526737214995,0.49307950750503643,0.5163518571662228,0.4878123160570502,0.5490810210116459,0.5409777705652504,0.5792323102042576,0.5959838170598082,0.6357254666598091,0.7468102466309205,0.745415208415786,0.9410119556849268,0.9594455081751029,0.6697494609388963,0.5735149766683859,0.6112437654328086,0.596522766146236,2.143935705703418,0.9567730588762092,1.3508127775468493,0.731527946219233,0.7425221162466834,0.7613130350521311,0.828003814856106,0.6498826308428864,0.5392426466438017,0.7381417283389087,0.7216288896690615,0.7354505503859844,0.560530365556049,0.9873254863792933,0.6576192577078483,0.7023316425813656,0.9673049440347672,0.5131996517860347,0.6016940305320375,0.6334185138397913,0.7291029553410375,0.8658186319628984,0.946913362379048,0.8829500932197898,0.7772778108942068,0.7583624530353757,1.0253794438111778,0.802323748608836,0.6479150225026283,0.807573743902696,0.8717330253931104,0.6395710759662652,0.6901884778931257,0.8847391744463148,0.819681428783984,0.6651526938223967,0.6993394063330197,0.6298989208992168,0.6248915147197432,0.598196958607705,0.616609896811869,0.5731382014751056,0.5039928390606288,0.5516798390886639,0.5116438254203263,0.5299818616137589,0.5125003387352727,0.5456891664972016,0.6234259423560612,0.5994010262423372,0.5790318868334047,0.6305268230922858,0.8547431792928931,0.7756459928483657,0.7527502730036145,0.9937221162996855,1.1868512622408143,0.9339664083596331,0.7604793769622132,0.6195724135526705,0.5903410853768102,0.857287692559293,0.7113086299186808,0.7395945877864275,0.7713164303003333,0.6253176876302123,0.5370542523424988,0.4570499703880571,0.47169914548734815,0.4594441665141589,0.5173863082146183,0.7702769353175732,1.537681204469748,0.5627654618232084,0.640167008046231,1.020992039144855,0.8557708979996189,0.6306109031270306,0.8596485335430765,1.6911793287096484,3.6297748767083076,4.831913847611027,6.160515577301777],[0.5561488136673405,0.43127920996041536,0.45762245557320774,0.36122059724707506,0.43077599666113564,0.4508305616816684,0.38696696310609224,0.3694657538362692,0.3700477151860142,0.3198069151249513,0.3626683123681965,0.46138611225563764,0.386269191058367,0.34664390718189697,0.5197264750571765,0.48269388898878735,0.521742808408982,0.5453248298489215,0.6045578976080042,0.5733871004109635,0.6774802044471494,0.6794324582225985,0.8267848802845083,0.9723857777680427,0.7446792615980267,0.6971784566947229,0.5286183828916202,0.5092031351941716,0.4845880847396461,0.5161529413156094,0.6156985150870563,0.5576870978293812,0.7173441156211038,0.6626908388437591,0.5731325315324219,0.5709113293902262,0.5214627645909933,0.5270622988968465,0.4989479947809054,0.4962419036333329,0.5330810071855594,0.5703822659523115,0.5917190094131946,0.7547918811673775,0.9711493948747583,1.2769686482051865,1.4217532318146924,0.8677112963025047,0.9011043897904583,0.9649643216461666,0.9089820704294388,2.344194634133307,2.1825852544801547,1.0373147386068196,0.9608643167307663,1.1613293520455321,1.1536560771867719,1.0790599126193388,1.1682204960146265,0.7740426590406069,0.8375808693668096,0.7863951741691088,0.748914888662969,1.003891385828899,0.7033820558930816,0.6849773250122426,0.8664555787220382,0.6706017094431638,0.8747238547042611,0.7070215096698751,0.8791381130486582,1.1778503095638453,0.869004531739461,0.9487932231886544,0.7411997516235224,1.4481214615924427,0.6812905655005665,0.6915219035414987,0.6129409139779823,0.6379769085573044,0.6113120379149516,1.6941095229909735,1.870653211358505,0.6392190472388304,0.6495301911267667,0.5473792192350896,0.5367373201814121,0.5990611470167921,0.5742148140858515,0.6511642770154208,0.6610762166866,0.9553708352281278,0.8026495337028943,0.7261397462214221,0.671603500723035,0.7852571004309297,0.6957535886389592,0.6541444418659508,0.5875233437486368,0.7810114491021184,0.5838957150443858,0.5594508171256193,0.5211977801483487,0.5236636619036127,0.4841286050924692,0.4586247507114047,0.5858855589353125,0.4207741377533876,0.465266829625602,0.7336789182708167,0.3950289516115801,0.4044488328436817,0.3796626142055632,0.40579549148619753,0.4382790192824221,0.46640975367636806,0.5195017387260803,0.5425397167636501,0.6659067977088949,0.5964734447449828,0.5366117217855735,0.5265226784314154,0.5292255121895347,0.39312079971809716,0.34000259759089263,0.3740193807507461,0.4534405668747142,0.3933707561540685,0.3885627580495471,0.454073386705904,0.4699091311442985,0.4708242469259806,0.4529977439651385,0.5313803397719304,0.4941826247520176,0.5118170010629972,0.6359370887563773,0.4514102792325482,0.5084694461823114,0.551552395936525,0.8503043474636939,0.8071008263310897,0.6157266034702038,0.5707431656414372,0.5138733326850753,0.48896577329190005,0.4499977919825461,0.4178572089812758,0.40531514677491876,0.41031612127928757,0.4681927301268732,0.5831427348276671,0.8106255321186566,1.767141813824431,1.3158436644045035,0.6598984624460598,0.48942914648276453,0.4803332161807029,0.4702721356930317,0.4435750822608379,0.44187941575138345,0.4388427701899748,0.46309230047537925,0.4862877265566463,0.607514460892711,0.6442623682879206,0.657429529646594,1.1918740802219583,0.9685839399337101,0.9112617516846089,0.535529612399711,0.5053501821584354,0.4729786260936049,0.4559061088634429,0.44732646678460275,0.4494894442994927,0.47946718314579695,0.6958225157170613,0.5040239721736501,0.5195520493603517,0.7147398253969532,0.41144982282941767,0.45156958343542475,0.4799099458795648,0.5153558840556252,0.5730855723535805,0.5843001459604913,0.9267792485681426,1.445811439758949,1.000811734435113,1.212556123614385,1.4287776309672235,0.8510763768011038,0.7285020188083351,0.5617542096014172,0.5666281906756946,0.632196657171816,0.49274046326163806,0.49099258954718683,0.580403198777087,0.4414928127901974,0.47085651978788984,0.43083126104828434,0.4343344359059709,0.4471666400852634,0.47209254449297033,0.4914774219281702,0.45915667333472165,0.5203244713112165,0.519031757768326,0.5547365727332257,0.5662239182874805,0.6146105998046,0.7340118437428608,0.7494956013326349,0.9325413775320842,0.9535419838917139,0.6520765243326139,0.5403133918766064,0.5728856057513673,0.5538041414792029,2.0550624413362377,0.9467405504201054,1.314668243107147,0.6958270516790033,0.6956565930250388,0.7211193115708003,0.7857960825152459,0.6201693887674145,0.5109489278203654,0.7020154182588678,0.7226156470617953,0.7341410148550984,0.5476532719260452,0.9576659799384615,0.6577474658340714,0.6871088340670143,0.9577587450512879,0.4965407320653756,0.604600566048682,0.6302111089181187,0.6956407587354502,0.8353043952072465,0.90596546194895,0.8578216681252453,0.7533948951395357,0.7299416450157955,0.9864124719592524,0.7798560524664193,0.6283669950163667,0.7706668632784662,0.8508242989221402,0.621090704069322,0.6553766602601443,0.8466884101021054,0.8097375464691299,0.6249221808726196,0.6529806024822797,0.5848518103333307,0.5727529475450917,0.5549855647325027,0.5668688417206489,0.5237901022785648,0.4638556069239578,0.5110783561751547,0.4624331582860135,0.4793562588897092,0.4707468469879766,0.5084567882499591,0.600512559397618,0.5529667704558069,0.555392177111238,0.6000799720723455,0.8346100846948619,0.7549492876040682,0.7191349068095209,0.9985563524834882,1.171378926253997,0.916811860513531,0.7264721504105855,0.6053443534986382,0.5606751433853451,0.8340846817973789,0.6632081380346608,0.7033689726669574,0.7391015506024777,0.5908225399534457,0.5129882112263406,0.44535194518395,0.4503451168626772,0.41813962120870596,0.5024118958517769,0.7482621168988886,1.500194398517033,0.5764401813071021,0.6312762670764059,1.0183499469240014,0.9119526882948448,0.6131371081884179,0.8430865817873924,1.637755250922497,3.604840271576625,4.738552211811766,5.990299176795455],[0.5547181700880429,0.46327736214633286,0.5145387962576865,0.4193210398217533,0.4995139052415771,0.49096939476032236,0.4997646892720684,0.5352496472057588,0.5459519678113226,0.5634448892445427,0.6458137965860156,0.7066083268318987,0.6887711362094721,0.666841939692495,0.873147435529701,0.8382840977591292,0.8225665646506221,0.8725594195933121,0.8718036191022023,0.8567152917333458,0.9291719210008812,0.9427899729763445,1.0834578350466932,1.2168691815285202,0.9432512616938533,0.9094421212606424,0.7823260006435583,0.765437831347886,0.7955125635628146,0.847453037072417,0.9663836577042768,0.8814237644755629,1.0341509416632397,1.0001612139244398,0.9268301966742815,0.9112704684779465,0.8434598147206445,0.8294340450938034,0.7839029679820052,0.779477912723097,0.7981610793411967,0.8416837419863935,0.8664275068889284,0.9694736464501185,1.1779921500959694,1.4001106973974466,1.6033225591676272,1.093130916159194,1.0945963102596652,1.1696485504298553,1.1281424818326031,2.328515092545347,2.3217900634384567,1.149853684217794,1.1082165314230532,1.2020152740292473,1.2232518822326817,1.1598631488863693,1.203209754276488,1.0642700896071242,1.13637170625444,1.0892270370889765,1.0622271237374015,1.284304560493348,1.0098048660234475,0.9846284219339574,1.101910228727124,0.981076013606837,1.0842014440943761,1.0195337864432508,1.0333344410069925,1.2861722521653205,1.142424633950651,1.2321760894790366,1.0746596017902492,1.5827184152606242,1.0141999435929958,1.0278371445647545,0.9692523151767259,0.9548729820467906,0.9132012007845357,1.807801413982982,1.8389340960683473,0.8384766269730386,0.8796828228238618,0.8065353143689991,0.850011863030064,0.9046795127612363,0.9037025659600383,0.9764957589036006,1.0006620943245859,1.26427742944105,1.1362543357144497,1.0611300844061955,1.0027104385183918,1.0832088614393678,1.015910039570072,0.9469106426805652,0.8609080180272947,0.9738774528370221,0.8537113688576099,0.7720290561777513,0.7944904206352686,0.7180463165989663,0.6663303699341667,0.6298682488508912,0.68374858071261,0.6241930652259849,0.6240118661441363,0.8127429631348725,0.5485299176006643,0.6102308243118658,0.5809962655796862,0.5930498454123752,0.6507103966997803,0.6328386625886263,0.7259797717761957,0.7306550823974293,0.8759818844379048,0.8486980627657946,0.7707901666142741,0.7545799352108433,0.6606135484453655,0.5582563077694243,0.5044560224009058,0.5337357023806054,0.5543990319270466,0.5330652970517367,0.5509967507179199,0.6460517738191905,0.6477517192546742,0.6538244108334492,0.6803744097811574,0.7186737463195574,0.7006023912730412,0.717619449884874,0.7132124893224416,0.6387454029027462,0.6769599705720322,0.7382629106778493,1.002925287291339,1.0221490250445917,0.794346642398194,0.7734710837136478,0.7470813161926948,0.7448449384466869,0.6892460626352446,0.6801878160798731,0.6350026247825445,0.6276910603935171,0.652009809382302,0.745787939098656,0.8834365592660208,1.7667749398621406,1.404777434966571,0.821735927613295,0.724691398179483,0.6868188943230893,0.7151182951382045,0.6519125490065693,0.6664676360429365,0.715298452475142,0.7037057728510777,0.7369403692280018,0.7641636375922829,0.8347714975205359,0.8789309278727139,1.3845838816770404,1.137643418695319,1.0100812909326031,0.7181331566540414,0.6911443805419916,0.6906147188300453,0.7097624023261082,0.7183004823902674,0.7141045880033358,0.74925424306355,0.8678149888643651,0.785914411109991,0.7931821031009874,0.9345311838199738,0.6660923769699525,0.7169373165009207,0.7098295245204175,0.7169790765282532,0.8119403518890009,0.8367485558758845,1.0919126076229246,1.4556400911357648,1.157952878507461,1.273668365823567,1.4675865046410554,1.0488238865554818,0.9410630752046749,0.7784517011467892,0.7820479702248483,0.8023595929914255,0.6457593083019296,0.6123526465016526,0.7089245665007329,0.5615290848956344,0.5749182138649299,0.5484082713183938,0.517943833982075,0.5160709181092532,0.535108002108421,0.5602558392600547,0.5190017337191379,0.5530358742570363,0.554778051947498,0.5925595467574188,0.5988462843650548,0.6388966858508119,0.715179358996586,0.7772272569203036,0.9810014428910906,0.9452723913282854,0.6789385787399117,0.5629036854015244,0.6074893126148675,0.6054624736685167,1.9601137209212114,0.9876804346363294,1.3026201979127576,0.7354802629247412,0.7536704280188913,0.7821033700281514,0.8300414584491412,0.6923851559259998,0.6225397153091048,0.7233453671754482,0.80902969633698,0.8109052297496322,0.6544361175300095,1.0262402934695087,0.8232228474163741,0.7792232323761803,1.0935836924123532,0.6118216682721708,0.7452580653197596,0.7200907104170557,0.7479567963786545,0.8878278612445942,0.9354153206670557,0.9152641149261583,0.8068921684204613,0.7559401221945525,1.0184511219589463,0.8273793583847621,0.6716786551985107,0.7759828765870174,0.8598984218206065,0.6461458024594263,0.652791267836503,0.8281067811113978,0.8254640736787069,0.6225474402600661,0.6371292271864946,0.5884494827265954,0.581047035886346,0.5879367264478919,0.597937048276834,0.5424685560258319,0.503507742571776,0.5424547131541667,0.49740222912601867,0.5012595675692479,0.5255983059373949,0.5719167152475408,0.6552676264212649,0.597368428145922,0.6452547146096232,0.6905718678524081,0.9207022499824128,0.8361395864944688,0.8078392558254494,1.1459070263734674,1.262768991149665,0.9331917377109401,0.7724323879444688,0.647299770546033,0.607619719189678,0.8600355851131162,0.6990860915479098,0.7595026020603651,0.7913626904331524,0.6540588863671909,0.590311672733202,0.5591168271645374,0.5602830217982134,0.494364239103798,0.5975118006883988,0.778021608024576,1.4937905385267336,0.682710999307717,0.675948326449847,1.0460745987123057,1.0376025797745028,0.6350045225087148,0.8491940938021815,1.5373801287102113,3.5063188106095313,4.570905255039189,5.776831630992919],[0.5327008474602702,0.41037172532301525,0.4261366353172639,0.3409669084510014,0.4377627950937509,0.41772066117008877,0.3452752390356266,0.34828089683185093,0.33900289194165245,0.3214227974823417,0.35907834172718556,0.45704729801442434,0.38934704526498826,0.3810123468366051,0.5278502464959853,0.48923629330066676,0.5425936416575985,0.5632144040558829,0.6254876965532553,0.5836080776843282,0.7155212492217495,0.7271400207889607,0.8822162965565308,1.0566707143675869,0.7916103631376228,0.7234567771167159,0.5453841044819275,0.5213889488743871,0.498950534440805,0.5218399971605555,0.6261810200816927,0.5568436827793629,0.7167440338908717,0.6718296008123137,0.5735764784013481,0.572013704749202,0.5165128581661929,0.5404872799734352,0.5087389309945656,0.504057214282742,0.5624860879108767,0.5955376991179303,0.6208609488267727,0.8210868963226065,1.0513740906958622,1.3486057020287936,1.5544819096567344,0.9673732767703751,0.9790541544745006,1.0720114667306773,0.9964903333198397,2.3033681249446643,2.2183868154621953,1.022820018955957,1.002872904871929,1.1233903374980467,1.1080160202120595,1.0388414897399856,1.1242340479979023,0.8066043913401151,0.8901447641885815,0.8141670595225905,0.7887068903024064,1.0793325987080005,0.7672656438396872,0.7110979822329677,0.9030892848631685,0.6998225240605129,0.8987242009135706,0.7379687610006103,0.8619709027852254,1.145548842616218,0.9172569329772682,1.0287357393749228,0.7909718828124338,1.4945880335302333,0.724479992332929,0.7239362902573568,0.6356947523009762,0.6592622953595081,0.6111743157997219,1.743402279411717,1.8809110958541746,0.5870346848352418,0.6424465077203874,0.5295208129840788,0.5440017437034519,0.5887825498285565,0.5804438191023971,0.6580959708897872,0.6798517995353488,0.993013440332282,0.8250107537810156,0.7492428991890393,0.6787549558577469,0.7917868990001774,0.6926761970083433,0.6458864229395094,0.5786674825285689,0.7780019712851054,0.5803500969954792,0.5648483566915012,0.501800560896534,0.5082632161487058,0.48497441182467516,0.4356738623739707,0.5285542061363219,0.4171970908457253,0.4563331031287564,0.7078191013629672,0.3779675938374328,0.38523364951570827,0.36772262009951295,0.39848706144395657,0.416028269231648,0.4514533184554411,0.5066839512530696,0.5605393867351788,0.6973677874995212,0.6133105073274119,0.5653052896423773,0.5170580866635474,0.5148595035871889,0.39547605437913297,0.3454667978901317,0.38212613424463004,0.4038722008141501,0.37755223245455494,0.35616773295832294,0.46308270204386864,0.4795192748176026,0.4749341247018281,0.488629881040049,0.5392278676280974,0.5222103060219517,0.5650370328174248,0.671172239377238,0.5140990727593692,0.5674845991742014,0.5908419276476946,0.9133684195261783,0.8728585536321243,0.6265911514891164,0.5748988028097604,0.5308653158528223,0.4967628910471126,0.4532831622842514,0.4361562505565039,0.40377900808532374,0.4016358853612883,0.4481513198128629,0.5400957210771758,0.8079430397753187,1.786733711129793,1.290982450303792,0.6308694118596317,0.4741047754793349,0.47566267562952264,0.4518135057149964,0.4313024546419614,0.43756096930167465,0.43645972077870776,0.4869947857944524,0.48989147321319204,0.5867321151497062,0.6885810463730162,0.7589573138445777,1.3401875730397494,1.0899861012615304,0.9869676022722262,0.6049545245707894,0.554240783955451,0.5074347622766607,0.47396772269478826,0.44798797956218434,0.4422388869470502,0.4653998910117375,0.6757387269679351,0.4901918616972203,0.5083191760702032,0.7444823139012787,0.4110966634871721,0.4576707742638262,0.48922301551660985,0.529023855237388,0.5987645617585075,0.6213113577433431,0.9597149146061505,1.4900407711964392,1.0960840662657017,1.248552999166193,1.384387105526159,0.9127588870099114,0.7974330534697586,0.6141690297751811,0.6361460020872076,0.6659031034596669,0.5009669271012618,0.48430303424258375,0.5544227632613266,0.40222756486723227,0.4150987665374196,0.3890825623907058,0.40769957830039766,0.3976259840338134,0.4199492169158703,0.4923886495938629,0.43592611614150767,0.49856126327327993,0.5036896946780984,0.5623774007441079,0.5951522143132144,0.6304162971892464,0.7043813350187366,0.7844592097613821,0.8922791635775909,0.97470136849058,0.6587225962326141,0.5378397901459847,0.5888082715943814,0.5924106946666561,1.934197761399461,0.9575291229009605,1.3281509909626585,0.6685943530300803,0.6418442472530197,0.6728041071384704,0.7154999577810669,0.5926489558938417,0.4714107223566039,0.6669694522283891,0.7110459112289671,0.7768273242204291,0.5561238416053476,0.8770547772061317,0.719503307713134,0.7112554899184478,0.9806682237037366,0.4905416564091149,0.5661191153605283,0.5905206699859024,0.6342885386724584,0.7562617206327211,0.857848112171053,0.7850530164199304,0.6803696257062328,0.6557651503722354,0.9115991929480176,0.7097304349704256,0.5638687906369291,0.7381346829793204,0.8440304549285162,0.6056034038386189,0.6497909843544918,0.8821538057453876,0.8682372547028988,0.6507809191020122,0.6742167866153699,0.60411606579645,0.5606146572237865,0.5155283502950175,0.5201012275003399,0.515174791122648,0.450897092905615,0.4726966711763127,0.45889317038460165,0.49277910248421725,0.45187671597542134,0.4884507943721946,0.6689618054760286,0.5874221876831072,0.5860537537984954,0.6461532641994847,0.8764132946849221,0.7951117160946373,0.7521975362364571,1.0088457536859647,1.1333311450507941,0.9487508639729818,0.7389080473040267,0.5805543139206328,0.5289971683250074,0.8115207118078448,0.6691717831124199,0.7302834687186693,0.764988097098726,0.6185943924890909,0.5039549544049674,0.42837437993333455,0.4351960096476048,0.39786110371964634,0.43491347807496084,0.6564661851858006,1.4748850117309327,0.52558059407438,0.54713591597501,0.9128060642945383,0.9358338618070471,0.5258289817443801,0.7380527290320783,1.4010478894564453,3.319743979604791,4.2500441116384655,5.299899463242526],[0.5863323643569179,0.4900957820439483,0.5115121066551294,0.4585400227270575,0.5673558463596474,0.5146936991883394,0.5035923327882872,0.4913365309988361,0.49731200131922215,0.5334882830341071,0.5078190892723724,0.5500025393926271,0.5576684022802326,0.5748134485750565,0.6708211927239383,0.6217705051205412,0.714668984066651,0.735694327281927,0.7862391603073914,0.7574662407628592,0.8636555252880901,0.9011546844743619,1.031021121322894,1.2222382335410493,0.9686334464263399,0.8729695427662176,0.7280214272409337,0.7159869743818968,0.6742439384834189,0.6732409381971971,0.7441823370724295,0.6566354430027639,0.7651952807982684,0.7629149220703889,0.7012291281105982,0.707671514068316,0.6564369504812684,0.7183649258001781,0.7045055626162422,0.7185807019257768,0.7984281905763551,0.7988607114581332,0.8323660971189164,1.0612554765094273,1.3007580581229437,1.5499062832831993,1.8104764247990697,1.2354684342707973,1.2200637128864797,1.3480348629311274,1.2626120987911453,2.3294944912859985,2.347140798607101,1.139105943481514,1.1705522001571935,1.1598602372273967,1.1598395478551264,1.084095261058413,1.1311849683607638,0.9322248944305891,1.0122515442930082,0.916648392775819,0.8881601743065742,1.146093499036611,0.894547309714129,0.8422301598877918,1.0318021019812051,0.8202937248689358,0.9814648640785417,0.855854028050394,0.9392040448379169,1.1832469993571706,0.9943469716689222,1.1311394440469364,0.8896294166869702,1.4719212851839265,0.8263707091274364,0.8237990995577892,0.753623466132052,0.7906367485639583,0.7088640881095187,1.977791999112742,1.9321854688413422,0.7092968838411218,0.7825302061261442,0.671884669714368,0.7028640682111095,0.7094089763247567,0.7101292663855493,0.7581745024512107,0.7988103371697256,1.0964874098995052,0.9397290747639742,0.8265858735182217,0.7768037295216885,0.8633271916836248,0.8045530948501332,0.7142751434419803,0.6348622135368344,0.761076227934078,0.6286148137338932,0.6134198046771235,0.6169124366185338,0.6134105257858329,0.6064334102731743,0.5761744023633633,0.606920813761,0.6548429437365869,0.64292892271754,0.8126786834568296,0.5533191618469021,0.5858987893735393,0.5563658946449903,0.5877185264886403,0.6078146408199265,0.6634344941842598,0.7156896524327772,0.7524496047117573,0.8583264296650829,0.7960667695662145,0.7805533769374879,0.7053141050829773,0.6989151696919768,0.6203815161915113,0.5361891747710419,0.5918429371331999,0.558561289027589,0.5829224461398498,0.577627507765169,0.6451885294269044,0.6969085824558476,0.6788362362046115,0.7387454391751183,0.7165773816361817,0.7484379677256484,0.8157003630734778,0.8835521803405029,0.7621269870884692,0.7773612074243417,0.8385911749773725,1.0659834815738853,1.0763568183154357,0.820347660311033,0.7870145044313114,0.7449495191871417,0.6945421870994998,0.670008600507595,0.6389056312730972,0.5705630796048244,0.5302853917872218,0.528500519319835,0.6049399967929198,0.7847145928801627,1.6935363332601239,1.2658997509299412,0.6491976458531871,0.5690648758174414,0.5355208232830537,0.5814653517738769,0.5716232207454123,0.6327579290689844,0.6551290678040276,0.7091959643966091,0.7141539511814865,0.7945757732586542,0.9068244589353311,1.029337309676896,1.6085954346918852,1.3219978550306777,1.1676116057613983,0.8304824341884188,0.7956302524373954,0.7451222032069111,0.7135466432933116,0.6692943723203224,0.62849836311258,0.624067884069886,0.726193390326497,0.6558482699272616,0.6549700603271547,0.973947029896616,0.630350033160945,0.7089518710278816,0.7293258889320176,0.751805835067717,0.835266625794658,0.8754984435447645,1.2101157038715178,1.6609014281414711,1.4064892204256083,1.3868733719933266,1.424229012366836,1.1583503399657589,1.0531397706780525,0.8666840443660694,0.867551886145144,0.8525746692156925,0.7246903564652765,0.6865834784960358,0.6981878818837662,0.5613802260484705,0.5284214041160767,0.5377294355089042,0.5311070738062836,0.49968454321121386,0.515169633716808,0.5828905170267946,0.531545686690248,0.5564479118340023,0.5646131102220471,0.6125586345533223,0.6441505159703241,0.6785859412318238,0.7309852469470606,0.8624277824762664,0.9173291187585524,1.0107121982916343,0.7471321700609761,0.6163772646582897,0.6827360846222319,0.7030314468473974,1.8509679858992927,1.0374481993264937,1.228846052743375,0.6788840723914364,0.6733594575723039,0.7391194424280976,0.7675189674377016,0.6890792319505923,0.598005428863595,0.7302181865152203,0.8443183946801572,0.9027598173671616,0.7080960320719739,0.9829864020959352,0.9422366737996805,0.8852557174608888,1.1282001031829494,0.6689102288824986,0.7251064078244218,0.6919950727734047,0.6722494499138199,0.7728779790931412,0.8283882954176509,0.8115233377140028,0.7098846665788345,0.6168723116901893,0.8605534118494442,0.7034757775616027,0.5976977646543465,0.7176887302665319,0.8188034391874379,0.6330639203212619,0.6564439964526497,0.8581491706921267,0.8748945406308023,0.685563954218431,0.6987191267449037,0.6338973365708492,0.5793410404044884,0.5366987331890705,0.5392451405522908,0.5776320170516631,0.5210398848366423,0.5423873152600832,0.5535340572882061,0.5763976499419519,0.5538315758076171,0.6087036579229066,0.7674398091006861,0.6716082521792416,0.7368701767168672,0.773236792531271,0.9963767445182338,0.8842746270982874,0.8468247378687289,1.1143701546005609,1.2054074000469095,0.987345523293702,0.8050977725216759,0.6914401612430362,0.6191123677103649,0.8663292705928203,0.759857950061469,0.8300706204260196,0.8679964577805017,0.7362334317935633,0.6307649322280128,0.605022359305475,0.6160687749570584,0.5184882872058657,0.5598327302425071,0.6944222281397449,1.4574458464025517,0.6623772244337752,0.5997285239557245,0.9129883790893,1.0435644440711405,0.5388427099090091,0.7003237688525717,1.1607166366632549,3.080304202798234,3.874414013375208,4.799881117488008],[0.5378939718934674,0.43748324542019346,0.4328188954303991,0.31838456886348004,0.4317212279719508,0.37946474102139666,0.3103292199068035,0.3484818093727305,0.36585837535452287,0.32365236916651163,0.3460857483228468,0.43456359353622676,0.36038997926661465,0.3692207157084966,0.5070260892746882,0.4456541192155969,0.5025269926048422,0.5472006424476838,0.6349312501649257,0.5886948736973077,0.7279934824730561,0.7713991146349035,0.9298584529096631,1.1135048098343574,0.8534284919088271,0.7423184388603786,0.5381827950150874,0.5098060354601252,0.472300062602695,0.47767961909656975,0.5857937289663638,0.5042399591212148,0.6485177804793738,0.6193321249519815,0.5271160724146197,0.5330551433866562,0.46809850417664317,0.508249322706265,0.48006701515509076,0.4760242807588647,0.5716266956752434,0.5963004265724414,0.6142817596741504,0.8911846449336753,1.166313303758534,1.4665252575774428,1.7350176136169506,1.0643222884476502,1.0865908710682044,1.2184861180917235,1.1327321307468037,2.2935582231403937,2.2377713801611985,1.0031386725912343,1.0802123068225535,1.0804508715596992,1.0396750656759775,0.9513426757102467,1.0848619136116802,0.8152342874062277,0.9102362520047703,0.7926968719177242,0.7558730190008632,1.0502289814723165,0.7657471163730599,0.7063695742758013,0.9054942463366739,0.6974779807656744,0.8976866668001187,0.7566408694611236,0.8697204784855582,1.1342813070314282,0.9294081947746132,1.025024661652727,0.7805244776606461,1.4577126915587177,0.6976080434064662,0.6833380335481986,0.5897492415243087,0.620327199767545,0.5419090063244267,1.8818135544907524,1.951914413631203,0.5030360689520874,0.5909492325045552,0.49654960543453774,0.4911700255663132,0.5306057902312985,0.5395801612485497,0.6098655206963643,0.646277357490038,0.9649529109926134,0.7991551929959996,0.6970334862734394,0.6320575306451233,0.7393438343215497,0.6538754956856518,0.5872002907042669,0.5258116323502066,0.74138454421231,0.5170927309259991,0.521551562290626,0.43357434458149724,0.4398771459639512,0.4230502553749952,0.4148586566588423,0.557073181045796,0.446729978029899,0.4856973833767236,0.7285580133661178,0.3938000510290602,0.3468701018007841,0.3300815515005329,0.36948810883182914,0.3741418009292719,0.4346211958633023,0.4985458493193002,0.5654604503687003,0.71910274372054,0.6121127561213209,0.5897030227772702,0.4946583431578526,0.5127180285491975,0.3894067082308435,0.32345070412063504,0.38786854415394956,0.35930974382001896,0.3890106064324691,0.35250898936982344,0.4378955777212266,0.466392783587821,0.4606207540111155,0.4956527179859912,0.5273949761675819,0.5173275916582303,0.6121090013173254,0.7423840824265214,0.5583631567800927,0.5778415339722733,0.6104537817426361,0.913151571027354,0.8955605684899296,0.6317835140036392,0.5695296604407262,0.5235671389842476,0.4629649222605106,0.4200217184597377,0.3923973199857228,0.3480601743452023,0.3679787771309005,0.4144061075247892,0.4778170187462059,0.7935874216165214,1.7389900212438802,1.2255751264917945,0.5807878373082426,0.43806527625273217,0.42773393548120914,0.4039602926720804,0.3931977149926394,0.3996049582709623,0.38405588013679354,0.4653287609919459,0.4628568832524915,0.5740462814001925,0.7032555269939716,0.8416215502503456,1.4557970413970085,1.2079539616880657,1.0840955495991804,0.6589170721337168,0.5814825766372702,0.5000839568362933,0.4638384035960847,0.40588077491630126,0.38853047519272293,0.4310508579183218,0.6305203284591048,0.4502516813066541,0.4478008838354098,0.8008137823723859,0.39068413602053,0.45084340274585893,0.4845028324098306,0.5160139593916683,0.5955328620847482,0.6435878537666768,1.020471470619949,1.636768695377052,1.2910261829661631,1.3064867284500845,1.3624166784091751,1.04212331632059,0.8934337246984195,0.6527255839092313,0.645201456345327,0.6587841656626274,0.48397755642250145,0.47446481074853963,0.5270904309191108,0.3958919935078105,0.41789498537474695,0.39561443892621695,0.4096449012686513,0.4303674050604479,0.4643317582078473,0.4897148863484462,0.4827620077786378,0.5864432209686404,0.570119549757652,0.6123141099503308,0.679035290421598,0.7295195316065798,0.7480381371932412,0.8631745267425226,0.8873048552138009,1.054608128986483,0.7197789196608367,0.5895411032795858,0.6743775607504022,0.6770833724560009,1.8276979699682756,1.023739151960032,1.3216223720868807,0.6500662925647573,0.6231378128088233,0.6767451789509086,0.6829352438772615,0.6245554574073658,0.48779034192280846,0.7015193743095133,0.7158780692771195,0.8154868292826782,0.5867080676486531,0.8327869918959075,0.8016173441569675,0.751072503961741,0.9674492047969186,0.4909156133996892,0.5319557496144529,0.5552970834586459,0.6327867348300628,0.7435976195436577,0.874442248535883,0.7798877411774858,0.6837625410742808,0.6993371397628664,0.9118510190773744,0.7690421867770353,0.6360514772630934,0.8007075472822688,0.9196598933849033,0.6973123311300073,0.7518020751278378,0.9956391696974486,0.9981166308584518,0.7726974738975648,0.8023577520529921,0.7032717787113832,0.6462049970025808,0.586997987243768,0.5753933731920184,0.6026239938847121,0.517210022299949,0.5038563368114121,0.5115631844080637,0.5412833896824617,0.4578651858666777,0.5104207499418146,0.7148758528148659,0.5932547284015294,0.608052111440815,0.6623041370374556,0.9181082471608815,0.811114183441158,0.7692007979714647,1.0281842692011243,1.1180423688729058,1.0333994113709606,0.769691013513479,0.6044126308704161,0.5404236936050348,0.770370829699982,0.6949446653567709,0.7761100552299216,0.7858524847550782,0.6316786161905392,0.47534411164277296,0.4124466577867994,0.4329526865251665,0.40074593939325853,0.4570583364539249,0.6585724828795407,1.4823902893225205,0.5806457402016909,0.5773601343866643,0.901016680412438,1.0308981217230577,0.521114121116672,0.7192164345876918,1.1584379012706643,2.957510962659722,3.6732616158004956,4.508691536687154],[0.5240012985821578,0.48142567923142904,0.467525963305573,0.39363301798241607,0.5017890183928149,0.4279523895304819,0.3592809091111065,0.36523802355322244,0.40033329767532005,0.3751574499065463,0.3804425425758559,0.4382440539703292,0.4081990135159645,0.4364953681939875,0.5298914616702425,0.46108831976826453,0.5504196037841771,0.5653947162754666,0.6575536822504976,0.6094156445626168,0.7422663071489708,0.8073421634279022,0.9343222577519866,1.1274073125901838,0.9481671607349388,0.7838153932444935,0.6013369423662894,0.5787860936773027,0.51295779165837,0.5015033763534685,0.5833987180558561,0.488254988982651,0.6133563044381084,0.5825265531379434,0.509476735838341,0.5169972700694069,0.4699493589099278,0.5658818534296995,0.5558346802034565,0.5849987923366277,0.6837079642814076,0.6543806771369055,0.697413676025778,1.0100961041244614,1.2792992927263487,1.5724812869091833,1.8979669856936965,1.2263109647864903,1.2004256139566003,1.3678585025974306,1.3062755843368405,2.244480946390353,2.2794912604901563,1.0286143458121546,1.2256347667473473,1.0822702358040017,0.9961913466482872,0.9397685172753393,1.077297826029175,0.8764725710603058,0.934732305601896,0.804746566582505,0.7365683403936193,0.9928518522496986,0.7731681591808226,0.6826427943978867,0.8864080807135836,0.6734330464329193,0.8855531519093103,0.752705248237465,0.8662138591499452,1.1192244575559898,0.8889854609689661,0.9975672867780124,0.7722739345667057,1.3498560044295005,0.6862362016358653,0.6585089700248136,0.5955060627621845,0.6087646350938938,0.5367432370344681,2.0762848610917044,2.0312648819684065,0.5527638235744944,0.651857800891974,0.49245409977250426,0.5407089789025383,0.5478890086187722,0.533881359631304,0.5887104957038947,0.621415163559941,0.9364262229924041,0.7763400967907055,0.6587640634061797,0.6127546200092808,0.7249775077105686,0.672520461198323,0.576755538564744,0.5046186736917166,0.6752342879076879,0.48926029823839384,0.49541998071662297,0.4434951645485499,0.43355596960316295,0.49688993007449855,0.46804302003213083,0.5842863612403073,0.5760566947975231,0.5822426287276838,0.7803893968288576,0.4749165292424636,0.47019294721568206,0.4077674506848816,0.45715513771905597,0.4463756911281086,0.5077777091367623,0.5625760517830967,0.6333262554696636,0.7350533518601755,0.64855307214669,0.6521273532239645,0.5514896428230687,0.5910059568783369,0.46730474064929334,0.41080586758201554,0.4910159249228676,0.4528384169008661,0.4887954433722446,0.46832551666794653,0.5743862047937678,0.6215505884199043,0.6069856906291168,0.6695628986919884,0.6445907496204636,0.667607407510797,0.7755747752601454,0.8572096092274714,0.7297840342115786,0.6979871045984384,0.7378565140301183,0.9753224063376369,0.9656814790544757,0.693098553255555,0.6663593915496288,0.6285243018609765,0.5579290868674488,0.5253073816722882,0.47085175193231016,0.4093231045415364,0.38605428638901607,0.4533547550716076,0.5047868225651695,0.7338137261529066,1.6238654277628106,1.1849290611216508,0.536693175305235,0.41855730056817414,0.39826200216289614,0.4074209558032586,0.3980327375630104,0.5166742330124597,0.4873267952174828,0.6032383821171156,0.5917920161880642,0.7252017585409238,0.8284144434008816,1.0335469537849362,1.640380123259563,1.384089123692718,1.2149404913895603,0.8098005922167365,0.729958123620576,0.6588472911745658,0.5992479220455877,0.5097692559838788,0.48194154110925064,0.4478651040047749,0.6292630320567745,0.5091123664177503,0.5034829335275046,0.9090084131777342,0.5149954038329507,0.5930324572521177,0.6851545324147811,0.6971635197114248,0.7655066222346664,0.8086961208070952,1.1966783909147423,1.7267500780456027,1.5162506645468767,1.450272624265052,1.3340865298664897,1.2081781272650416,1.0607477965655279,0.8431402269797565,0.8428663652183978,0.8015781846665719,0.6502287415471067,0.6204246532061762,0.6794253629052173,0.5068401366008105,0.4663090851260349,0.4996322455599989,0.49000731804067954,0.4557497621874394,0.4702065416940219,0.5208079705946764,0.5094582895939275,0.5742692618431632,0.5781703889889396,0.6158708171763142,0.6860699512436058,0.745715768145504,0.7573961452734345,0.9111963612113401,0.8543394790155482,1.0655436290641342,0.7317212588482823,0.6271105780137813,0.6847884591574916,0.6906283456046705,1.7145158340960935,0.9950863635073692,1.2621242665584957,0.6752641315770761,0.6546300410663362,0.7082417496553938,0.6940193561116548,0.6832709559956058,0.5818253555262952,0.7210184743956327,0.8192289584951801,0.9088585137675784,0.6961601363474164,0.9075259009837623,0.9843772421535303,0.886927180144134,1.1177602230251047,0.6376649659093079,0.6628448670614299,0.619394642851925,0.6092950150113158,0.6861092492108262,0.775819729750854,0.703250919212504,0.6257956771092504,0.60653285183906,0.8060936484464382,0.7113475889416576,0.5845393517707674,0.71827335533582,0.8502992061818896,0.6348262861052296,0.6682639588634031,0.9087628289337399,0.9379142877387231,0.7417733444326797,0.7576058489091292,0.6711944677769214,0.6048154485182597,0.5400431405008492,0.5254230312859222,0.5705116640435566,0.5177366100673446,0.51515754760483,0.5488155005688645,0.5849305043849647,0.5375769991386198,0.5937306387952653,0.7957913095492868,0.6607836990748829,0.7299111034672625,0.7765742943263425,1.0119155613470374,0.8809662207484669,0.8293346570021196,1.1259818335531053,1.1557518628389243,1.0540322135136526,0.8094597358905128,0.6523569319802095,0.5750323927665453,0.792564829601439,0.7432324527742018,0.8533522856614463,0.87650703774281,0.7045882136817779,0.5925371919359025,0.5419085914973918,0.517083596397853,0.4889485755606273,0.5323656378465371,0.6493383343953173,1.459458614020063,0.6651551294768141,0.565888926906765,0.8625840476559307,1.0788535754876736,0.5053847690356165,0.6836772736254739,0.9008509650246093,2.6685316192044883,3.3143209318807516,4.071236547175986],[0.42337305544285814,0.42843553885643304,0.4686904985592874,0.40450764897819846,0.5534963282538068,0.4648823072886841,0.3963341970854387,0.3934531883086263,0.40451107027446415,0.3998645048394694,0.3914727322160146,0.43780354773254804,0.41653290663083914,0.4450755009824168,0.5021424272581367,0.45679166805801386,0.5520040993090276,0.5685478711928889,0.6676311622454588,0.6128973622646,0.7456182531527413,0.8147884723163891,0.9389328597812816,1.1125522738618214,0.9903545516221398,0.791382972277547,0.6135498414502027,0.5824550956190755,0.5269258315622033,0.4993478266260127,0.5751001884310841,0.4969547086562127,0.6085759391155916,0.5625290576749635,0.5000293772926089,0.5082843390991951,0.4822141629156299,0.5739133706303843,0.5614582976479338,0.5958909603891198,0.6994491987525037,0.6632388601525312,0.7066015763929134,1.0523595800202028,1.3128734426767892,1.6065343352939336,1.9675822663433122,1.2655665868019483,1.2589626400618539,1.4566690508165827,1.4090637267780133,2.215673250620735,2.27909829635118,1.0353796345161037,1.3172116956500832,1.1330618234340455,0.9946948127690367,0.9380394863381786,1.1064281800377196,0.8642231161473037,0.8984410125343943,0.7760088043564223,0.7017965785600324,0.9657510671732097,0.7650412148500371,0.6759196349852048,0.8747219813789966,0.6584681975534825,0.8688931541079434,0.7398685896217878,0.8650618116721277,1.1168191510297296,0.8771085931972993,0.973830393534185,0.7640117796164129,1.335942903596382,0.6564169224243978,0.6328144555107339,0.5718781763879296,0.595804874717757,0.5360166503931678,2.1687078558734996,2.120110410551177,0.591474046511714,0.6254794090182305,0.4962901842516764,0.5369852916607634,0.5513068187801258,0.5252613379382572,0.5708087514596558,0.6012609180090143,0.9165145882341571,0.7496281052749098,0.6370430762167187,0.5982803675739818,0.6894694150297335,0.6514764712752256,0.5612816530420732,0.5011663704838414,0.682333044704977,0.5136390427034432,0.5220432723590369,0.4543863605152121,0.48274043095694663,0.5645725748086639,0.5452926951215092,0.6763418628013149,0.620646827129397,0.6431061511183218,0.8524744328464557,0.5562709047159247,0.5169231502532405,0.4356490124310445,0.47753626688413287,0.4600938362311523,0.5307166443844573,0.567895534944631,0.6665565448287127,0.7476044993737291,0.6488212784842685,0.6627371711953361,0.5622178886761867,0.6212990751683621,0.5008054216805952,0.43404712541343093,0.5351559914322306,0.5200028238728858,0.5225036811202382,0.5330370605865289,0.6265376490244409,0.6655680543477873,0.637475914845839,0.7128382136742273,0.6560612408986333,0.7084316371677125,0.8519627652738799,0.9024685282205728,0.7765842585299665,0.718330398090474,0.7528923910875293,1.012163759240145,1.0035075479004867,0.7206635668895573,0.6829823708501886,0.6444785516612511,0.5726611887073968,0.5422600128442532,0.49116175523411665,0.4372526251958028,0.42116768779121655,0.4658955066952757,0.47680978347306674,0.7475658261121931,1.5701355532446355,1.121008559185699,0.5359930873458426,0.42207869420757904,0.4394198505780264,0.4280814662219815,0.42800002983147034,0.5340729038251162,0.5097603950551456,0.6283317583868654,0.607623916399695,0.7677666066238658,0.8663990867132042,1.0746601491806325,1.6932930278738687,1.4502042938803008,1.2751877753718197,0.8459959128533544,0.7771323452902976,0.6938202058898709,0.6305238045245436,0.5298339846118835,0.5067719191041425,0.47355860976856495,0.6508111393103239,0.5285503832015112,0.5321008923718875,0.9835537105934551,0.5455524876559689,0.6099286494398785,0.6986760006933129,0.7153428803813752,0.7959824602005017,0.8524668240513894,1.2529879919386009,1.8075769430205435,1.6126071396893604,1.4831959015282288,1.2809951678532625,1.2537556646449546,1.1035823400831284,0.8803138665764875,0.895829874310144,0.8406721391703995,0.6855579370701134,0.6579782158901039,0.7032012802439351,0.5518719711674404,0.4973418198995699,0.5294379522304647,0.5415195502493075,0.5129394122401224,0.5251995242750966,0.5758697271927439,0.582078076605565,0.6427133672133215,0.6252306394864122,0.6724416034299062,0.766625723217252,0.8255624855625464,0.8111868403859325,0.9606732349122076,0.8588381457966957,1.144789072600786,0.7944509520119302,0.6951329605822483,0.764085596995415,0.8172054135193719,1.6363624773687662,1.089389402466505,1.2542673958136645,0.7334479481292961,0.6834012167600951,0.738455066260553,0.6889139109651414,0.7705427525696228,0.6200350192259458,0.7473439780148398,0.8483418853501569,0.9712109028562504,0.7376754322433982,0.9038904586851582,1.0789879575441077,0.943719058492118,1.1550406448341586,0.6946904849464666,0.6839573685179952,0.6522642788693132,0.6035473364977535,0.6618389033577915,0.784287964468335,0.6968602026576153,0.6300396135994917,0.6437502347572821,0.8268731244208726,0.7191612538594264,0.6522065794110492,0.8058720623957277,0.9442335182351123,0.723427952027545,0.7813406065709891,1.0274348581421011,1.0666944553895008,0.8529483642379827,0.8828474205414122,0.7676158202864403,0.69427272777374,0.6219259179710062,0.614358465972922,0.6643057673955759,0.5938410085624791,0.5737095995086439,0.6310842358256156,0.6538952902050149,0.6006760826152381,0.6748052679547112,0.8943857537436107,0.7519638461980189,0.8165270645704046,0.8611571985462702,1.0810362298168064,0.9614000397087192,0.9088311434128707,1.14858031171158,1.1786494076983343,1.1339212062397035,0.8547595329601089,0.675320492182854,0.5876996530997335,0.7804229054189459,0.8300921914687782,0.9567963197949579,0.9553421985468487,0.7740355851160321,0.6489564491518793,0.6032158221172814,0.5679190028105296,0.5249956324512278,0.5692057842366126,0.696404534838705,1.4617227960381178,0.732801693408433,0.6088504624538646,0.8945354937880076,1.1595465388278212,0.552812755222534,0.6958874890417804,0.8433891782852799,2.3539647477649486,2.9211384761443293,3.623746249977405],[0.5601749910617703,0.5477547979963455,0.5472382181346234,0.47664280039809137,0.5952008154645044,0.5140205314174432,0.4279427060945333,0.4399687014102106,0.44140620565909694,0.4000233391401153,0.38054313205735707,0.45276569003469347,0.4188201637998119,0.41287780629233073,0.4538414819389894,0.4200030168489589,0.5056539760927669,0.5143197361996651,0.5844622583556847,0.5612148066469376,0.6650291237322741,0.7504382795216307,0.8809315497049188,0.983527743400588,1.0222115238694844,0.7626974281617179,0.5733168283074771,0.5398884281899686,0.47404816805262534,0.4397934233267773,0.512472806093799,0.4471980270662368,0.5577947260383466,0.5008990092825889,0.45354312298667143,0.46393282173327405,0.4600349229320482,0.5374669398293408,0.5405649716123683,0.6006906445191476,0.6778789877814151,0.6223459304002272,0.6673537592427394,1.0304894822947512,1.2857556926938543,1.574192243430999,1.9458795900286783,1.244201448995506,1.2444747152539883,1.4386097028556115,1.4210759573758147,2.1298746674788127,2.2251181625782595,1.0176042967981356,1.4185081533381172,1.1258925935584951,0.9269686457128489,0.935105377824486,1.1110266942852718,0.8931253412389818,0.8844978894852757,0.73922456074745,0.6336847329790992,0.8488324564520916,0.7151088920130655,0.6139844442184257,0.807758301027288,0.5882832285287283,0.8030109877091297,0.7119447670448621,0.8152625682241954,1.0265008945623544,0.8195941282738717,0.9120099991154133,0.6850587243797833,1.259745409529675,0.5715938522111906,0.5360981856530661,0.4979767289806933,0.5352667134344525,0.5062364636487968,2.1490016875133486,2.0629892309391646,0.6541426967088022,0.6721615262462254,0.5100163093948771,0.5150608971672399,0.5443794311576725,0.4680009439432238,0.5002062151551242,0.5176893315681996,0.8460895164692254,0.6902329134014135,0.5633360662675079,0.5354765219920037,0.6403521523380966,0.6201006065383485,0.5286567794697077,0.4751137236156721,0.6534038023505637,0.48017462695010077,0.5317778061231998,0.4639336902076495,0.5186746151458757,0.6078606734441504,0.6031034791526454,0.717691037731915,0.7062660047110003,0.7149639729721445,0.8688995944037785,0.6170489080230432,0.5786651305710584,0.46579824891327504,0.5079266195040261,0.4580425859102327,0.5177850193809678,0.5415066318820275,0.6025842344829863,0.6629987715896791,0.5798958067152682,0.604150601673111,0.5059391099895951,0.5765081422230068,0.474827267671709,0.45815075254903254,0.5699799932611797,0.5739819855399384,0.5703488907300823,0.5895138623256821,0.6641632366237039,0.6928665406452749,0.668082222283745,0.7415071663692084,0.7046270753791223,0.731971569506515,0.8680929941846783,0.929961208081998,0.8069570457815178,0.7120946678076722,0.7341786258931486,0.9544663002445655,0.9507873248655866,0.6566274520405614,0.6485256945791821,0.6233569802703427,0.5518262541770075,0.5340927595566661,0.4993684423607846,0.45877493669735375,0.4438199872226161,0.516082279364213,0.5152860977537973,0.7288639247611755,1.4943503433759242,1.1024156927687863,0.5285957243762608,0.43772666027915386,0.452747780564234,0.415671813483986,0.48947030981273476,0.5690474540583026,0.5093884887819955,0.6357796178127995,0.6220831514901641,0.7837891567906267,0.836272205395198,1.0911364000387258,1.6756020803808704,1.4512589861752783,1.2762880527757214,0.8721548823990231,0.789263740135533,0.7245206551725685,0.6492296696327159,0.5554491330379728,0.5411136951456,0.49110643749723537,0.6227020994341881,0.5547732941106054,0.5451665482742748,0.9706429060118685,0.5963884351232687,0.6533840823997656,0.7328781763662204,0.7401818624257187,0.8084092416398514,0.8637037132394625,1.294462658772278,1.8274748582493607,1.6692888577757266,1.5348565840195685,1.3092001500137564,1.305296094989398,1.14195173405271,0.9127132152407064,0.9175582332838489,0.8685336951182263,0.7242648209104587,0.7035126172530481,0.7275261136454053,0.6098481289072272,0.5538552843961217,0.586047103365892,0.5968661696211359,0.5679371473033747,0.5693019861398709,0.6123592058194807,0.6355302311193274,0.6724418190694913,0.677597630467877,0.7364820977429145,0.8122735829732985,0.8505349469730419,0.8787892151375679,1.0296298169638827,0.954766881593391,1.16854935805871,0.8327341513270768,0.7396457641235001,0.8011791213542833,0.8379558249696633,1.656085043065395,1.0811941872869508,1.2671838761897543,0.8083221497642826,0.7573684214287427,0.7944743266973255,0.7517850889745359,0.8327865497005853,0.6960422844011843,0.7854396063291262,0.8931745796953006,0.995557397548353,0.7733754860586693,0.9618200537336143,1.1110577480094512,0.9677682544552495,1.176495730763997,0.7352736691479289,0.7348369717462635,0.693657468131022,0.6386926175913638,0.68864262035418,0.7803515175257272,0.7137843530433982,0.6361880832091839,0.6487407832616391,0.8000533499578216,0.7228179709159757,0.6684271479636572,0.7764615989579848,0.9154598847914271,0.723009804273264,0.7566987888309566,0.9688503592205295,1.0380718137861484,0.8455075828721521,0.8576609877998851,0.7701878097758839,0.6978807997437868,0.641337192808555,0.6401369825236366,0.6938635005858501,0.6412095305543026,0.6227356021935214,0.6914691916391831,0.7158298692598639,0.6638278989478277,0.7254273246228021,0.924940024189309,0.7869326637350874,0.8458305617409752,0.8943233741258636,1.0907056914173396,0.9812744076220311,0.9265439948055326,1.1859920045656007,1.2027831675316658,1.1189113986881964,0.8814249616637544,0.7279017515599432,0.6588726508813821,0.820306996489932,0.8329002577725692,0.9478586888114213,0.9700062437272862,0.7920576229882965,0.6802726667788896,0.6480616741388988,0.6226128200413719,0.5875156928775727,0.6431175710404728,0.7266200771995652,1.4622850406310275,0.7957476488586205,0.6474076403566449,0.9124882837360595,1.193479983991137,0.6241142028071492,0.7793509882877371,0.8448232368840785,2.347321973518747,2.870862105075869,3.5861204760607674],[0.6962384889745372,0.6483599785405221,0.6061585433890397,0.5147925299261509,0.6562593284502443,0.5406739943120537,0.4899510808472421,0.5142135474540122,0.540527388992307,0.5393881530027622,0.5280926543276195,0.5575140003915349,0.5718804313348573,0.5928701441525807,0.6275027827798387,0.6058853474331333,0.7030237321180705,0.7424199729751911,0.8372617703664235,0.8283940976786387,0.9412354470804462,1.0328311134355799,1.1294345302748432,1.249538819997236,1.2390495316200425,1.0164282351537408,0.8522923909763935,0.808080981829021,0.7087445476209302,0.6250121372059612,0.700418246664486,0.6250152727616705,0.7066721382139008,0.6823957776000469,0.6537763564788975,0.705022775813563,0.6434865193116226,0.7772274278552916,0.7970533202562037,0.8680272997604156,0.9494972951027557,0.9060820425551355,0.970926205428264,1.2599840953551091,1.5463206324579704,1.7778230566736617,2.184603461113259,1.5030352311662234,1.4718135720445438,1.6750161083720272,1.6696165437871755,2.225744685032617,2.375003569461573,1.2297432179694763,1.564873897040114,1.2560633754489232,1.135152625082304,1.1489392950536697,1.2599609694363387,1.1536426271564395,1.1277965423686611,0.9922744054515672,0.885485247422257,1.1072422585982902,1.0143757451118125,0.8919749993021843,1.0503877287523744,0.832343242330637,1.0237559950105,0.9210284714750803,1.0024712114446648,1.2259723712899633,1.0043416540683046,1.1472183050375564,0.8743356550055245,1.3416482193552755,0.8012826297797963,0.7525881238415195,0.7307943315005285,0.7900745855247351,0.716620901791415,2.1686776960034986,2.031194535936082,0.8666574497021013,0.8811423371852393,0.7285182895413413,0.7609867872354606,0.7348431059248096,0.7353501147516072,0.7133991657365807,0.7329921148580728,0.9565616704145822,0.8304622565332306,0.6981448197278246,0.6779177934378431,0.7592615305019504,0.7378404196683721,0.6647269554309879,0.603458884560403,0.7325523059739353,0.6028869792871167,0.6114799264992195,0.587410554641054,0.6065741806774767,0.7079611381284104,0.6823980950141799,0.7631405423609858,0.7832658638238793,0.7459462100524745,0.8857307374195851,0.6738687864731983,0.6591785580392626,0.5583152402643823,0.6497427049821853,0.6351013670921533,0.7465809762560142,0.7982439840623196,0.880719082170856,0.9144078075127196,0.8115279756142837,0.8338204507126089,0.7352957253306499,0.8011756787294454,0.6748684310405146,0.6024685255089332,0.7182872499789944,0.6597651830935599,0.6635269157822045,0.6697612062597296,0.7442958417770588,0.7908919827393106,0.7731156909073456,0.8747841604208246,0.8074637407184103,0.8618255836675375,0.9749552828386322,1.0117533963856131,0.9749426894137639,0.8884724231485746,0.928700269043553,1.1174695694516181,1.175960279500672,0.9143221112117261,0.8904240183980169,0.8751635770781432,0.7678345312845701,0.7494500894478624,0.6787009123156804,0.6065798626060803,0.5585321022761526,0.5950560523852063,0.590506277542465,0.7739425158884281,1.513887212537767,1.144101585242772,0.6212520967279901,0.5506445707327144,0.5474642620879832,0.5579820948059803,0.6234423839879316,0.7254669635736555,0.7160833003212663,0.8533262607708257,0.8453408669660706,1.0031637418150552,1.0298239116747314,1.3135399696421128,1.8956774122373858,1.6269450293784398,1.4185903844027268,1.0522309146999163,0.9639957308312,0.9008439735638802,0.814198894271083,0.7286775496908628,0.6861368637151165,0.6531298371737182,0.7156695792889854,0.7327982449214822,0.7216052507041161,1.1062004700434125,0.7337033696788892,0.8196343876985147,0.8986524668071512,0.9300415923626489,1.0260106356253662,1.0698682499325387,1.5491559730363635,1.981981501867741,1.907539947528944,1.7730764039221847,1.5311930650608068,1.5073777912565833,1.3085199321235552,1.076232046737698,1.0923366227846147,0.9984650684711639,0.8383882346713548,0.8008687275194358,0.7775127828382618,0.6749362781275777,0.5927428468844563,0.6114446330705703,0.6451717899828375,0.6344591054100757,0.6365819504913711,0.6653750065916584,0.710028057513324,0.7784260808503557,0.7788135095124893,0.8364200909250933,0.9365343350459482,1.0021903044153948,1.0297829347958365,1.1766279441943872,0.9829507656407134,1.2543367220687367,0.8631821831110787,0.80597288116884,0.8793242981999768,0.9458359376164454,1.594345644730488,1.1415803932297515,1.24121759650187,0.870135157344004,0.7998939449008461,0.8180339256717254,0.8028937411627177,0.903856739393531,0.7666580272833566,0.8605647031980382,0.9857250841971794,1.0591050863469813,0.8760451810406207,1.0547148335219008,1.2118995094308056,1.048722047063531,1.1920476053905051,0.8216577999439557,0.8352523274346206,0.7826936114661016,0.6858055673375367,0.7222777772760026,0.7682044754710856,0.7205245195018426,0.6500839420393749,0.6903526412081351,0.7953911020752253,0.7404607631150047,0.7310883143488378,0.8546472298489379,0.9952887396016193,0.8232363183903594,0.8673820333072495,1.0739622169819723,1.1616518519483865,0.9915272209663327,1.0036611368520492,0.9017414074728859,0.8085275146788694,0.7319725189375251,0.7338196575577395,0.7914363633236017,0.7336255256390595,0.6987207241512297,0.7658235533041235,0.7898610508563658,0.7164420336833904,0.8013483266927002,1.012864750151776,0.8344483300553089,0.9075106399094246,0.9710544379122786,1.1399692516145195,1.0299190437532864,0.9476694301885482,1.2391706942027587,1.1968725858550349,1.1230520207067327,0.8779406283440101,0.7517521734398056,0.720344988232194,0.7858126385552796,0.8334595647994391,0.9663987803375121,1.0040524905345818,0.8425051061978561,0.7268931892465411,0.7000972751548797,0.6728354464529988,0.6176225389543375,0.6530998794002901,0.7336667680012454,1.4117089534537277,0.815668032969794,0.6963337566585636,0.9264718489604113,1.2242614217192975,0.6849329293721116,0.880292924763741,0.8623387809238682,2.2033678484872876,2.745423564926193,3.489776895327758],[0.570975628352187,0.5723089809824136,0.5881809915292409,0.4575166278579614,0.5621641052126689,0.5023979760915867,0.380398418067213,0.4063035286459926,0.4176880629136776,0.3575290374414346,0.3584418147733525,0.44821254439728975,0.37473229253514123,0.37212908459841004,0.4322693727084808,0.38323520175665504,0.4295776435273789,0.44129478059742555,0.52660870641263,0.4805444489116577,0.6054559844674119,0.734518497640719,0.8561005213973982,0.9598996851562629,1.0207551082850441,0.7008886373485739,0.46633316093877175,0.42247408093870137,0.38870854141149747,0.37301157396477846,0.4557435565803043,0.40483474762635124,0.47687619666342035,0.4633265448777738,0.3916890029406558,0.3896001501807106,0.40233575344046413,0.4424225598208406,0.43384491665967007,0.5355662356559363,0.5995607943005756,0.5291051681040501,0.6003973303485247,1.0160925754213752,1.2662560715158901,1.5490816985328382,1.990350976324225,1.2728781028590501,1.2594917222943272,1.5133482621255179,1.5357575226342195,2.0240756320222966,2.189070833026164,0.9987089250056914,1.5161228383793304,1.1049981269712381,0.8670482272107539,0.9027189371452232,1.059486584359439,0.9127454271464046,0.8333937223596737,0.6951653877787632,0.5523252376402239,0.7752131855986458,0.6581303828917806,0.5366036224869862,0.7483050715780543,0.5387302059791244,0.7421242409104573,0.7003327509495073,0.7948214581632832,1.0657576605301902,0.8002199262379284,0.8903107421418046,0.635919681391893,1.1748629456123232,0.5272277628360668,0.48692029764587497,0.44299179134628464,0.4694033390051677,0.4241681805564555,2.1579720309926627,1.9904594074121331,0.7393593336292988,0.5952392740699451,0.4669571280860439,0.41003082689223497,0.4787264521660609,0.40101952583283873,0.4653716857235057,0.4911383782707603,0.8229888103116026,0.666764236344307,0.5070495387444558,0.48804290232927616,0.5955676564830956,0.6037012286349437,0.4871412814353934,0.4448389156060208,0.6391492054411562,0.4580366406692454,0.5333313650782636,0.42603707484072767,0.4737232046515846,0.5548173864335951,0.5479735437739868,0.6555076779895896,0.6936003522638348,0.6685535647835124,0.7883895256688692,0.5776436408997163,0.48524263963855374,0.37846240830869876,0.4183214679322641,0.3752855166559051,0.4054689916600344,0.43158728918550027,0.4927245209212156,0.6028131406064615,0.4710068101849949,0.5130519752031515,0.4307157241232249,0.47348652162972044,0.37911844793859595,0.38485554771321195,0.4745582562055331,0.5897269398182795,0.5164562180934446,0.5536416307954347,0.611659354223898,0.6512755585059552,0.6369471007191413,0.7054139641219369,0.6420594302217536,0.6712026663640414,0.8350542721315581,0.8891230057725699,0.7935816751256691,0.6078757099141244,0.6219440456943254,0.7970190786756159,0.8791419520596588,0.5714015058312099,0.5281347472250284,0.5103922359241392,0.4430505357221327,0.42834353187492,0.40746122413751906,0.382623283489526,0.4044200850745675,0.48377046620779074,0.48871705079910227,0.7124962512993437,1.3580631227133022,1.0410974029882858,0.5337483705631771,0.417491167139407,0.4401203574892607,0.40533573942111684,0.45598619563883364,0.4699484637877925,0.4414713976674293,0.5289193905082017,0.5318421326361487,0.7544446101604989,0.7910248493178667,1.1006697191095633,1.701286602685696,1.4697457979759578,1.2394888899508019,0.8433455724012732,0.7220607583988436,0.6478619983900491,0.5881025212083486,0.48033505833968326,0.4740157564701753,0.4283898820552479,0.5788552527048378,0.46344828524596726,0.47756896192559906,1.0062461447389883,0.5531184631349025,0.601996704102992,0.7032969454010692,0.6967030727637046,0.7590130063498476,0.8359690719738813,1.2808690432300385,1.8485595339938252,1.7396098566828968,1.569607377246399,1.2659849269286798,1.3529564090253363,1.1559597817552971,0.9171023464961376,0.9538884349284189,0.8325153842529497,0.7045838540950351,0.6875010497086572,0.7300970722153278,0.6139453058980178,0.5781276644931724,0.5862144790463722,0.6108487718117788,0.6253886806102349,0.6393995079191364,0.663357962046014,0.69902887702689,0.7829986917206927,0.78806487209906,0.8476546065054823,0.9442124955484726,1.0055090883059734,1.0494303299719958,1.1876759599728566,0.9997941134320828,1.2529735507079602,0.8554402968697505,0.8025588528496244,0.8826676880923947,0.9680668082758778,1.5194962306163324,1.1574403512559444,1.2110824205190047,0.8505031845805552,0.7824468374335355,0.7821875592643378,0.7421868276463175,0.8962193948650056,0.7274551392538047,0.7665424274013432,0.9193421383387662,0.987433604099057,0.7799566608826544,0.9568545623589592,1.191411327103361,0.9953984662666598,1.1592335679653716,0.72132601242661,0.7255962271864725,0.6773079776596045,0.6340360173962367,0.7043949832279318,0.7704430425530584,0.7246078797961565,0.653925416491677,0.7099783257480874,0.7615673893960695,0.7681822893627559,0.731049670331265,0.8491590411199542,0.9788234960587194,0.8249584135987557,0.8802274959249771,1.0820753718789282,1.1845091377874335,0.9948859404962507,1.0090227491921664,0.9004708871064229,0.8142936975217189,0.7373172679912522,0.7268280926059024,0.7874555796745557,0.7315032304968094,0.7029883251775564,0.7657678449585235,0.7930999552948,0.6956392008092207,0.7979573557183697,1.0303669670137716,0.8068738150646636,0.8947976223135441,0.9483223492522748,1.1127415450082694,0.990712147182942,0.912331397446272,1.2003811291654165,1.150597098670356,1.1077256066560321,0.8462603317896614,0.7323189193065128,0.7404715718590938,0.7267066766512168,0.7720172784968818,0.8923926591092735,0.9203883426220084,0.7819983056356643,0.6630455825280445,0.6256091624121993,0.562107910693405,0.5946720508636419,0.621403952420476,0.690242964918967,1.2789711375839077,0.7986467541330737,0.6887157641709795,0.8556232827022447,1.1349625620234072,0.6364542275259476,0.8563283410323967,0.8061400864402963,1.9201562772048213,2.491848997308821,3.303699937594933],[0.4712894991529194,0.48284060235814,0.5308050033122228,0.39090815649632316,0.5279723635652666,0.39494850278182886,0.3267681244593733,0.34171798631208006,0.3898385982049406,0.3546657941858991,0.341906589995652,0.4208485571087931,0.3867895053148106,0.3719292856186376,0.41667212897723294,0.39588161594707605,0.433474647741931,0.45862037836080105,0.5509172250875172,0.5195441542473981,0.627066531272679,0.7637172611459413,0.8746338551229158,0.9640270152131781,1.0555903888720026,0.725451011165404,0.5084780251148232,0.4599419094865412,0.42939295271562994,0.401063868903333,0.4535916554163459,0.39366818954537436,0.4476005582116602,0.4576641927607367,0.41027144336752297,0.4284582820357923,0.42868954566216694,0.4875142502673499,0.4761349571311782,0.5825495567591549,0.6361414540570277,0.5612945338442353,0.63977785427787,1.05008622128727,1.2837230994397284,1.5601307167531686,1.9977086038175653,1.2974565619560883,1.2866509760835825,1.5383433126101023,1.5791279995589786,2.024590207528786,2.199818564564605,1.0370052445731297,1.5751684796442336,1.1466531459342253,0.9016915208825073,0.9506795498479804,1.087907815910485,0.9515203240182656,0.8467135623956538,0.7121381781283668,0.5670526235072877,0.7545021551726752,0.6696009541651315,0.5664308609704594,0.7410158176673342,0.5500004547924554,0.7191816163405842,0.6723018628304657,0.7820688346583564,1.0616722002535712,0.754417090361518,0.8547974455345422,0.6264130614817067,1.1098592399990193,0.554385861388442,0.5183779486625557,0.4884622634426416,0.5225377545200719,0.4774501764043791,2.1884867630344287,1.9687824677056098,0.8189897638533968,0.6247871493713699,0.5144003026260477,0.45855368381615924,0.5234049311986397,0.4531516135805541,0.4991344780130244,0.5213626398818586,0.7801841829115657,0.6409726491202712,0.47569960410190565,0.4597699984212335,0.5541629241073682,0.5847502385803255,0.46726135044215455,0.42797271147211036,0.6073357497743328,0.4406346058493633,0.5184696271119185,0.42173495866128835,0.46219644563851703,0.5394591258333081,0.5313804628034962,0.6171368943676028,0.6681391689835556,0.6348333811059449,0.7288258200276608,0.5430136734063848,0.47878187521246496,0.3744005575533944,0.43460231938019706,0.3931944747417183,0.44234378335162966,0.4695954103554535,0.5260750905937398,0.629714414293183,0.47729327324957027,0.5149957665328944,0.47099646272466383,0.5025634378046386,0.4007286302806388,0.3730984537369593,0.4809506135267962,0.5639924356070256,0.514041916008328,0.5482914960028813,0.6085945920983634,0.6495328316509945,0.6370285151378954,0.706079882482941,0.6429180326236841,0.67422090889886,0.8363366325507502,0.8656459725517754,0.803399882221464,0.6250150444225239,0.6390917059126375,0.7983805784547489,0.8937892372794456,0.6050408982556695,0.5573528137125519,0.5417323531620949,0.48134018262772515,0.46372072282372884,0.4305704932856824,0.39715801573509407,0.40041843171626623,0.4675748320938606,0.4500526324748765,0.6431478389928375,1.2804525378745066,0.9951115165126053,0.47611606191091294,0.39546316545104226,0.4239871632748393,0.40521924051696795,0.45741081777523146,0.47850206850004773,0.47563786793201396,0.554242441866108,0.5654142391238861,0.7831823816095661,0.8105255108644878,1.1121054940651913,1.702598789562581,1.4672205474129252,1.238912534816458,0.8403138403982459,0.7326768053130964,0.6638871876701132,0.6073059987054144,0.5034060755722293,0.47999048879643363,0.4398896519461728,0.5722811897623509,0.49128985498644023,0.48109092317282354,1.0285067576411406,0.555588181920213,0.6154615013384394,0.7204828060688265,0.7137698031936032,0.7848956770308633,0.8671504304208554,1.298132639761868,1.8690520678658564,1.7511704752305766,1.5685966957180644,1.274001552454933,1.3541893515681918,1.1540361443621905,0.9139286699022138,0.9472557075713121,0.8242792911274538,0.7043095127367568,0.680705886789748,0.7293426695359944,0.5874631995690749,0.5232377021997103,0.5458885675831534,0.5509879078108437,0.5269946691340799,0.5391003752927257,0.5838095319584552,0.5982353702210651,0.6475346922386371,0.676681018257289,0.7255170431768324,0.8020639733695742,0.8702063871593183,0.948071910834268,1.0783067951410663,0.9866002928393078,1.1593783164988927,0.7639964511320478,0.6819652992090617,0.757224304313292,0.8194540362164525,1.429302241667752,1.0629715178827441,1.2258160395722124,0.8084607787996436,0.7177318748589618,0.7171665231727429,0.7107470553921816,0.8171962970246114,0.6849723706911531,0.7612669827248228,0.9451282068539371,0.986145092780456,0.7747253050042776,0.9670781238278977,1.1794777661414309,0.971893802243261,1.1649495964712464,0.7148540578166384,0.7414068587692363,0.673641074148157,0.596599477021559,0.6545989040838325,0.6882970599742628,0.6645282460437744,0.5922366720193959,0.605884658186983,0.673900442356941,0.6535604408956789,0.6073694181473054,0.7017933141261063,0.8442156725527249,0.6895189349977172,0.7163236618429173,0.9190642923350818,1.0679420106889939,0.8251434007383287,0.8268020343269723,0.7480264480653149,0.6591936325560608,0.6026613511766831,0.6092754362963473,0.650263344275577,0.6071489628854717,0.5871188942794243,0.6546338762072712,0.6789634958379444,0.615075179124293,0.7211198576348978,0.9189266974096949,0.7314508975353595,0.8394393558586566,0.900020241465933,1.0948763038044684,0.9636627757888899,0.8526163762777983,1.1853778916303341,1.1450626181167032,0.9910773867331578,0.7835660331072214,0.6654839580848334,0.6566435479562054,0.7284586470171497,0.7028078597073748,0.8271067804637576,0.8798003286129652,0.7527099199260364,0.6402629073352218,0.6112336346893404,0.5345200790785698,0.5428489806983621,0.5666869911638504,0.6015382771685334,1.122613111172524,0.7366529393104068,0.5799542085597429,0.7267252346247907,1.0373250778029135,0.5208571299822032,0.795218957751594,0.7453931731907624,1.8969460366497022,2.4241576045178084,3.179490232924982],[0.5168070948047034,0.5413631222099764,0.6240623584329864,0.5502243171754874,0.7319043682795949,0.6392454043729315,0.6361285935323295,0.6593221239009517,0.6955493852588714,0.7217190453905725,0.6988474493663046,0.7421152721141154,0.7441107818936482,0.7222914473219304,0.750208974244298,0.7387361423071669,0.7374791947183191,0.7373761410687892,0.7292882471996198,0.7253088042188293,0.7927653614221242,0.91267180070397,0.9364123808788855,1.0185088646349194,1.057621319305133,0.8259814831409625,0.7102547522890269,0.7353845766174825,0.7071792599380659,0.7107689213908409,0.7555162613358397,0.7327155483538583,0.783091788291169,0.7849886324326145,0.7395706540963395,0.747366780084704,0.7143619984768748,0.7542214567098132,0.7364076344302631,0.7959721642362774,0.8165686847467394,0.7681385058975655,0.8246245252600365,1.1691504851597827,1.4002568639402286,1.6511687303387732,2.04030009472973,1.380804732339085,1.3975882893625398,1.574162752371996,1.591854757960596,2.2057977407940523,2.331028005846941,1.1705092984619951,1.538951864018847,1.2269690234105213,0.9927140681979791,1.0984741250597658,1.2358056271601712,1.0276084952168592,0.9721581000619194,0.8951562563868428,0.8228151500977772,0.9739164615888475,0.878076747792071,0.7806583241392007,0.9202860098555502,0.7810930041761959,0.9273233087230828,0.9051953493813722,0.9693223370114817,1.1961416185590503,0.9407312792201442,1.0690129326965745,0.8542532107948452,1.2670799630516483,0.7885204012340588,0.7546702011346943,0.7529905127103915,0.774046362616915,0.7454044299760321,2.1308464080816543,1.9308701401286614,0.8684477031621405,0.821685803024672,0.7756526998020097,0.7221968708904715,0.7847110097295744,0.7466306102224295,0.7971927071327487,0.7905422752716713,0.945336440286726,0.8714852996444075,0.7855699301980182,0.7761402886468374,0.8334680605648486,0.860368704279854,0.7727826377523881,0.7403192758296261,0.8530525377811335,0.7437740612412141,0.7920396335897767,0.7337916816195468,0.7547960425669007,0.7901591203572663,0.7783281253985649,0.7969431586873279,0.852379234073109,0.8138974010895456,0.8942590197513105,0.7607677417436586,0.7407503268784895,0.7001846363912457,0.7357064257458388,0.7242413809396637,0.7584852636268968,0.7463486377461281,0.7630679323045835,0.7748108792033904,0.7402374738221056,0.7689397167472609,0.7471019692942455,0.7935610655795439,0.7468288322135929,0.7370607660445173,0.7842553007718042,0.7575770824333439,0.7681928057770742,0.7368469417055542,0.8127972891620392,0.8319418504047847,0.8159055425721978,0.8831031852832926,0.8415869584463299,0.8770293342071314,1.0207465729345957,0.9726492340888616,0.9510580912754092,0.8449247556325874,0.8801829818628712,1.0238379144103613,1.0633755279182053,0.780387256878226,0.7920531187580095,0.772365547226566,0.7520750910308928,0.7422838997392724,0.7439110121324511,0.7249355258114362,0.7520543982521823,0.7471761918232916,0.7384862118111978,0.8615561369332824,1.4437016332764359,1.1754004747755262,0.7349518690671375,0.7185078319341691,0.726524418315395,0.735164267764042,0.7451681897527677,0.7450018192709451,0.748900348814533,0.8078363639612279,0.7834027554240478,0.9245455321735095,0.9682624611725723,1.226349043839183,1.7992739234321211,1.5516960148662216,1.3334987873121442,0.9798140297885848,0.9242986165270513,0.8643789530065882,0.8098843177256991,0.7581507422544999,0.7451953300552365,0.7212059022015007,0.7574977482922063,0.7395402618275788,0.7551706699708394,1.1289521128103661,0.7783612512218337,0.8187528486186018,0.8424455910603081,0.8551793254906572,0.9384763676043895,1.0046366769144552,1.417330794951583,1.909433388192451,1.7242039368492699,1.6484751278664687,1.4441674898145778,1.4014548406386933,1.2502312520786893,1.0403083661354025,1.058572062128868,0.9878837756044944,0.8652306013721417,0.8104307888825398,0.8035712860056563,0.7100200621933195,0.6588463482576825,0.6676752949879529,0.6568447328777219,0.6316735765023139,0.6396580691737911,0.6859415199877316,0.6701358150900707,0.6934142970004912,0.7169224847667351,0.755021003616291,0.8051957362939349,0.8571094244378161,0.9038112715223795,1.0339195082144916,1.0017625650128044,1.1294616804040833,0.7796355547047059,0.6898439624719989,0.74845588872522,0.8092811097081726,1.4943076973303706,1.0587261424671917,1.2817789608612096,0.8569015782479787,0.8004873909315292,0.8238667049011995,0.8387189188043681,0.8616140138769003,0.7614860507848684,0.8843018075311326,1.018182172609688,1.0504672619311153,0.8860149277389889,1.0442439084652333,1.1705684661966507,1.0188467210361658,1.197989038251788,0.819095181732673,0.8902470685689515,0.8351833958163313,0.7582454045451453,0.8339384239714606,0.8325733660167625,0.8091672945567461,0.7637693937793518,0.7190670581832163,0.8177951918163247,0.7900103711250213,0.7129048674579014,0.781265721708554,0.9183110442161865,0.7690070627614921,0.7893665433649315,0.9690584153386509,1.0996551361551987,0.8360718978010758,0.8392047622314919,0.7703599189593662,0.6963069865456237,0.6786429512793213,0.6803844471613001,0.6987797462391692,0.6612361287762085,0.6578085978608317,0.6888271752342481,0.7101828147239604,0.6752329693848742,0.7441732424138034,0.9377079320845526,0.7814297553861591,0.8646351766178462,0.9254490595159992,1.103544477414141,0.990618444848759,0.8863704933734778,1.1889854170144625,1.167056832775776,1.0077436686796342,0.8157997136044796,0.7018022866403707,0.6903130176977111,0.8055426670504581,0.7355850751244537,0.8621889855948898,0.9264018445147254,0.8143592355186511,0.737374821434129,0.7467105461575074,0.7311955638138823,0.6594480340099071,0.7007793353505056,0.7353726372575843,1.2638679138393258,0.8357473197245989,0.7072201708968789,0.8962888960790272,1.195141781094419,0.6784756795575045,0.899851548943124,0.849734665627353,2.3035851951912014,2.7985618497573075,3.5120256220930166],[0.43346105624250547,0.45195163236126323,0.48503442481303544,0.32718495320864555,0.4822131517229994,0.3436468129638867,0.24944908160819454,0.2657123640208547,0.33301512168101416,0.28149014618470747,0.26772554013670774,0.3741443169823969,0.31115951763997896,0.28961534493693103,0.3450873218627062,0.31737156539401357,0.38390438019822776,0.39325575641571575,0.4713572916432768,0.45245561903302745,0.5478532403619476,0.6837572357687871,0.8037121129654575,0.8679951531519585,0.9990845756594261,0.6616277732568555,0.4351977088587816,0.3863831304878522,0.3502731554390172,0.3316060173030378,0.39966951920136307,0.3165882488611428,0.39356394182731236,0.398956714992485,0.3499121874803103,0.37159706163168993,0.3492532171341143,0.41743305533568414,0.40964665068166317,0.49887418926834476,0.5601880598891102,0.4925766079250604,0.5483754299074848,0.9537037389629984,1.193466592647124,1.4961169744020382,1.8755561333763806,1.1714504358034352,1.1948802056713768,1.4170022272129073,1.4283619035058037,2.0865784225131665,2.143001361663998,0.9390784323745542,1.4379817913467492,1.0753957899182978,0.8373887061986931,0.8739425091722819,1.0572908580188667,0.8602603350561463,0.8172453097944493,0.6844550314064605,0.5080273551656358,0.7031711617699358,0.6072567336713601,0.5046426907219274,0.6936109368987063,0.4780971140301174,0.6801864305389078,0.6221799190991734,0.7671643204885473,1.010849027505402,0.7026856341655702,0.7956545837019566,0.5688669242749361,1.0745739293701857,0.47949145071831906,0.446105385253537,0.4195285977201692,0.4542752241594728,0.41120975055027803,2.137168424778275,1.941206068974862,0.6799387256435026,0.584740861154917,0.4505631280150534,0.39127477272817857,0.44616777072115393,0.38642242157036494,0.43672580944145045,0.44275658643845694,0.7409202063864303,0.5899500992962644,0.4072248657708526,0.3901430895574496,0.4964143085428711,0.532511017407103,0.41295710307799827,0.3601328533428844,0.5297487513885003,0.37416400536527106,0.4300318522693375,0.350162615658708,0.41691620904141236,0.4878422076132303,0.4934664427019343,0.5587817442266807,0.5967310505818085,0.5797660689705957,0.71873246844192,0.4887191548469833,0.4441621788505659,0.3250149515236471,0.3844315492165683,0.3182984962908351,0.36891786832257273,0.3911127317973741,0.45049610155808456,0.5499275809758529,0.4147079441151631,0.46144538581641015,0.3897889073472964,0.4242355122554529,0.33291537764953366,0.3254852041573234,0.4562471526135675,0.45164385728070267,0.4711230766296003,0.4635975423660965,0.5582896969188972,0.5934814763242663,0.5743758264217477,0.6498946152290125,0.5937793081643534,0.6340285669361865,0.7942197134499065,0.8042202626999456,0.7307935408218217,0.5834077644452017,0.6111537340487558,0.7865835533121546,0.8265883804984666,0.5458587963801536,0.5044550809417547,0.4834266203959618,0.41804830407286975,0.39734456243134103,0.3654766548117771,0.33523821717424496,0.3321187414710997,0.41297626446540275,0.38719387616696394,0.5639141876856044,1.2554525644708312,0.971756646699229,0.407457448744183,0.32993913826660354,0.34335255134655646,0.32786298519988943,0.4009574589687899,0.44055885614235873,0.40577386142893507,0.5063421743792884,0.5040261419151347,0.6970387984960269,0.751370199791937,1.0129723759097906,1.5930430316875028,1.3638360715556714,1.1894650043174457,0.7769870679485636,0.6897027514641133,0.6156999489446311,0.545711200550995,0.43932613216712013,0.41612265485882854,0.3724614236668113,0.5165830329566301,0.4283965993332327,0.4294374619168011,0.9415601137831654,0.4909803830071554,0.5581011608559047,0.6443566404467679,0.64381235049263,0.7299146115575723,0.7921429678798876,1.2222214403858689,1.8079961404103877,1.6084903685634546,1.4693718097244173,1.2824926234495262,1.257546395472654,1.087320448975831,0.8399733607153862,0.8459100082873932,0.7731774224554097,0.6249452333030254,0.6011388421729992,0.6588519643234155,0.5080044796983584,0.4383254716192297,0.45632514745401603,0.4640285559553961,0.4424008750000703,0.45540940944765684,0.5268987457897518,0.514878545209922,0.5351508369835931,0.5759465593092554,0.6455362188477825,0.6860289589423143,0.7325575893062166,0.8138968976004513,0.9642859916668118,1.0050082903344777,1.0351176863126537,0.7100318312556423,0.5956017586384607,0.6517704320772558,0.6947186476909899,1.5186187553611896,0.9648394564422014,1.2170905886776247,0.7290523966004199,0.6514655356644201,0.6612056994752344,0.6662392117148755,0.7100626634252085,0.5971941248335474,0.7150818340982679,0.8463642415377051,0.890634958107377,0.6951650679249946,0.9362595069744469,1.0005122539705373,0.8647313213088923,1.0855889226989786,0.6246406836568511,0.6855398059356522,0.6202423479270786,0.5735097754019435,0.6559414861740414,0.6491406151021678,0.6433886723829311,0.5599207950040536,0.5351760085376137,0.6599057903431631,0.6028241088181682,0.5228182060167411,0.6120013193387417,0.7621491376631124,0.5937225173825373,0.6151234730069426,0.8172180646304109,0.9527491392552984,0.6976745244271301,0.6976834946263751,0.6323435283397263,0.5419842673112049,0.5031830793625004,0.5185587881105876,0.5470183790908012,0.5054069754382253,0.4926441807604399,0.5475987060447738,0.5769613499148698,0.5213933981371467,0.6008347883089187,0.8037267641154878,0.6388767489897155,0.7100391839278649,0.7919435402557159,0.987381010448988,0.8870399789119469,0.7799591518070965,1.1240041904955234,1.1865016580738919,0.9491697926220621,0.7638435902647206,0.6384002891470355,0.6239223760961811,0.8345396618018758,0.6261854341617914,0.7184464954236499,0.7793365618726182,0.6465486407702776,0.5530826803515693,0.5265898073793683,0.4729384952806263,0.4359155004298048,0.5018918071006,0.551099871700407,1.1785326680114714,0.6865743237007621,0.528463714240111,0.7292290753109474,1.0430363812756644,0.4782260384436913,0.7687636350753185,0.7666100803735493,2.3100974306420103,2.8522917763540687,3.520909678637344],[0.43204508117475443,0.429583738733877,0.4438098852728828,0.33996532506969,0.4591104530013055,0.3478447548402575,0.24109598890346526,0.28569059620967474,0.3436335485951039,0.26490823328349267,0.27533853914714346,0.3860292527592491,0.28529769174615216,0.2727579475775327,0.32520688919554097,0.293505516520994,0.34823404481868575,0.3450891626462596,0.4210994948502638,0.4019647727349493,0.46821741114170257,0.5812825954482015,0.726823770375431,0.7636941458168072,0.9148230873960356,0.5920322975286613,0.36814627331890276,0.3163402252990641,0.2977909600567484,0.28761175359631924,0.36716155547577084,0.32741831774138064,0.4152855192253235,0.3813100031736836,0.33114590796559207,0.32721668615521077,0.32296370129435964,0.3459623078462751,0.33734317102610883,0.37892691497472064,0.45089936304758277,0.4288841165658745,0.4439900685723602,0.8525571113395729,1.0965920552805393,1.419768108317301,1.7445170146827715,1.0406166666219732,1.0915632274955582,1.2890760204494094,1.2863219589201385,2.117989801770828,2.039656688038048,0.8577490979111717,1.3547184474241705,1.0808963362107633,0.8199187811094689,0.8118945260011838,1.0774410582015217,0.7840621277386657,0.75731357757531,0.6590918929949738,0.4563428919976486,0.655363063917599,0.5161632993348447,0.45739609156405897,0.6491794828980527,0.447860325601568,0.6632325296114433,0.5913197356127731,0.760352589740438,0.9787907251537858,0.7053237737939241,0.7537453729388922,0.541877600808048,1.1032925302670662,0.4139957079570199,0.39297946528324407,0.3407309471418292,0.4000494347038007,0.37656965913069396,2.050954740281988,1.9547928616864796,0.5001522470642397,0.5154895580120759,0.44575793859602236,0.3387300571162929,0.42974924619496024,0.31499214817788357,0.3919262018286228,0.3939055076774044,0.7228824481123816,0.5417736826104416,0.3917711545322472,0.3817685758991758,0.48564010981664224,0.5123719709471468,0.4156270658839415,0.37742175169712816,0.5767758756334836,0.3742359329466442,0.42934964247335927,0.3441984915515532,0.42434697787479314,0.451477352579418,0.47007954089368825,0.5637763814731983,0.5021121692869603,0.5064513241577122,0.7053826789618292,0.4191301593397503,0.3578896092520407,0.27093145834830673,0.3303203331576335,0.2533414293805182,0.29906464646842656,0.33540917673722764,0.3758651736133114,0.4955508862489998,0.3908946966238143,0.41284971980618484,0.337648014239458,0.3551305108007989,0.2612018519566483,0.2733857600449088,0.37953451657405657,0.3730454332854742,0.3870519623785545,0.3694088002447707,0.4429603724303602,0.4683624601825133,0.45957136863450687,0.4858234956215271,0.4936413850625272,0.4968729151577152,0.6500032800316523,0.7637701493543991,0.5778984048222101,0.49043080859753363,0.510540397444101,0.7625386648355859,0.7338034291236412,0.48004455237980725,0.4236969595275668,0.3909613540847599,0.3466264038498036,0.3225864123199149,0.3157415485421785,0.2794601730520498,0.31329758478362196,0.40581479486893773,0.4034320548594724,0.6394626791933976,1.3634225043402854,1.0156047588433943,0.4355408603267737,0.3162094237093267,0.3332820886112146,0.30071521977615107,0.36708352787502263,0.3692157777647886,0.32087121172563293,0.4032637848118997,0.39252658417411795,0.566023864614554,0.6464388550702647,0.8437114096975399,1.413490869705364,1.2201014193814894,1.1182233291523378,0.656918108390282,0.5728413223699425,0.5064054680251602,0.4351361015873412,0.3445111529368778,0.34574454569336266,0.3556763746552415,0.5192188881836884,0.35511502799658085,0.3437862958089328,0.835696179007934,0.3883931296657201,0.4271179976843726,0.4987225401243686,0.5030333458806578,0.5795688611746544,0.6493453472164344,1.089174568102879,1.7643831091817903,1.440673563552308,1.3405273385202061,1.2298039132269458,1.0652363211978244,0.9114504927393899,0.6634297223772124,0.6636965155033541,0.6567435979759942,0.4988921685402368,0.49783484377751186,0.5649370203323747,0.43468982478159074,0.41381423074051055,0.41179698223393196,0.43313890960123747,0.43410650254930216,0.45975662621161467,0.5119523327938069,0.5030671652267463,0.5602433512714456,0.5828333827704,0.6301428105492,0.674413594858244,0.7279749991557107,0.7699767616630396,0.8993371252062795,0.9445909592366046,1.0298259387013273,0.6912266245066752,0.5938475839559767,0.6498116951127711,0.6818492161113119,1.6740836978415587,0.9935579518173394,1.2378450889872414,0.6776380559773211,0.6101859758916911,0.6462154948732326,0.6236424776090711,0.6445743063702826,0.5081958462296442,0.6907073771046957,0.717237298409352,0.7984463863680406,0.5897048119263697,0.8515671843029828,0.8814034490843763,0.7683872272093207,0.9796170965295747,0.5211339233854635,0.5614694626598787,0.535978392689229,0.5601199614793113,0.6440370844542967,0.7283927275881956,0.670133447366819,0.5812555177992902,0.5904928923049165,0.7140797203159527,0.6388755233819106,0.5560601115393381,0.6824230717968558,0.8176874912844799,0.6342376881612887,0.6696295752034988,0.8912196151197486,0.9849721054156966,0.7127597832915844,0.7167634412716685,0.6440706817234365,0.5712975152619588,0.5338739170577763,0.527605420719635,0.5545254834513026,0.5102635278523764,0.49301520499711293,0.5212336001633302,0.5516571519640794,0.4863494557626389,0.548015307006691,0.7249552106121071,0.6026628724389635,0.6455011343207031,0.6907424812470212,0.9335645424694775,0.8362913945674335,0.7727804687194977,1.0428860603411814,1.1432817488582132,0.9619819694244418,0.7518911900926892,0.611588907649516,0.5653288903908027,0.7881594543182077,0.6811896804356473,0.7662226816636603,0.7983950597818883,0.6553534244928705,0.5017158104127776,0.44164960220354954,0.43028802556977747,0.426125962958,0.46296010522826914,0.5708984887190282,1.273547497081357,0.6254469869979817,0.5257856416258723,0.7499298503763843,1.0243615152091012,0.48309539121594014,0.7487402560905982,0.8284570493680264,2.4276849758197665,2.9582726454227264,3.601475525380456],[0.46040158188136915,0.38941984597484147,0.4177258792994631,0.275768772458333,0.37561812938757533,0.2967570918630433,0.23221735538288069,0.24291202160363784,0.3253007494083843,0.2517396439049332,0.25067059254164153,0.3614822489900369,0.26642282744424556,0.2513079942897898,0.3070072128705299,0.27902890615371306,0.333047052907464,0.3277389910721817,0.39435026270901796,0.3851260656552454,0.41849623914432366,0.5232218980335651,0.6521295266738292,0.6802500020014489,0.882675729445235,0.5455986166440616,0.32902403042687367,0.29011495524538333,0.28649743142865797,0.29047261473351677,0.3492707275871447,0.3020314907849682,0.3894569408976914,0.364915650276883,0.3073774410409652,0.30723891516450624,0.30034032342231154,0.32322158769120707,0.29775641307486045,0.3145091957558639,0.3818695566556364,0.3824483909100141,0.3868671229801398,0.7516959488680375,0.9698853777655995,1.3051788639352,1.5782469742100222,0.9023924533866889,0.9658916253626848,1.133572679210561,1.1316130668630668,2.133731614476443,1.9656354140826513,0.7995988691795493,1.2751575651956573,1.0537642816732813,0.7831165390221053,0.7604084738779979,1.0622912667009643,0.7386067332476268,0.7400198456720434,0.6568874727238778,0.43406908183719545,0.6037274021794689,0.4697771553380549,0.43571645081516425,0.6313257546585405,0.41982429259651793,0.647875331242772,0.567747058052555,0.7708071694438041,0.9648052049948247,0.6746672894960561,0.7113463275870437,0.49275326218940496,1.0403524424446564,0.38804045267265974,0.3597619791202594,0.3156817144092785,0.3812752379496069,0.3321315745083753,2.021449517318593,1.960531023238956,0.4389855842790521,0.48325620631964883,0.43001019794316464,0.31623592216508023,0.39429330298437887,0.31154772034616973,0.39084323826571743,0.3835637307914829,0.6691085995461161,0.5124162128082829,0.3659220287310646,0.35781149120160755,0.4559076809759965,0.4863749598630883,0.4032847424725312,0.3585166424986256,0.5497892157328473,0.36476240078101185,0.3986593436869763,0.315905492558436,0.39327581357873953,0.41143882815817023,0.4108079039509894,0.4964063973272726,0.38411002225571983,0.4058653008955152,0.6524416447992963,0.31666261449157385,0.2846312886407402,0.23321874780096347,0.2737478934428612,0.22410320398428174,0.26595740354334935,0.3150781082794005,0.33458503628675124,0.4273494966028242,0.3596661493321019,0.37886646126592083,0.29975838667404836,0.33108065644914425,0.2139129835178752,0.21967377385415457,0.28762856550847155,0.27275501962766174,0.3093487439510049,0.2773071405952019,0.3815446247989264,0.3998607712561059,0.41014727314935134,0.3963291440873381,0.45896155796934796,0.42447780653378814,0.5478812288139894,0.6876760924103926,0.47148596675255877,0.46311597873055715,0.43387695726039166,0.713740936614574,0.6430849618397244,0.4124456831142205,0.36698935365773283,0.3388647819439656,0.3127728313198442,0.27796456080506254,0.3012110999597783,0.24323250638727992,0.2897419252144487,0.36309487070221713,0.39037923231228144,0.60340772296556,1.3333629178773942,1.0137281207524567,0.4210552957333622,0.30268290761149774,0.30770175914203346,0.2838922162967342,0.3424750461726231,0.3188977331853149,0.2898123072613707,0.33066911845543784,0.3195446545821169,0.49434522796150243,0.5404300713888398,0.7107316520786564,1.2537545715449177,1.0702892334785499,1.0219630482320956,0.5556677733285141,0.47675608783279516,0.42070322078002287,0.376480221428534,0.29532840366797863,0.31617036409701066,0.32698093674878986,0.5385177858277543,0.3188637356617447,0.33320781742033084,0.7616640756494087,0.3310243021483307,0.3675725289571608,0.4365426166086417,0.4569475413839711,0.4954507185483577,0.5366267475286037,0.9521766188316213,1.6405859879863554,1.2740469679763557,1.238652455366455,1.2054597823380981,0.9292667537898531,0.800393520171096,0.5584443725634701,0.5628430103959923,0.5789469899697971,0.42386231698410026,0.436270698062137,0.5360203867511747,0.3548207818737201,0.36095190607967237,0.34591685548608436,0.3519731614124739,0.3494444813115728,0.38590480203071603,0.4432724385236033,0.4131451511719794,0.45997892031176085,0.49090434643991704,0.5314779751049131,0.5556984772625152,0.6222158238103901,0.694360497762247,0.8004937032770445,0.9158166757833791,0.9111636816638434,0.629591282276001,0.5140527822208217,0.5661030794318213,0.5788167031598204,1.818774086594017,0.9582024671757126,1.231151123664503,0.6176345788041652,0.5559739594646249,0.5929151367803481,0.6147898399711078,0.5429936512231024,0.43112218417977827,0.6503393453335256,0.7039093411746554,0.7615279740322246,0.5452418879913491,0.8329459737096779,0.7135936218747934,0.6775508965655217,0.9333203112092673,0.44972985389214143,0.5351031792125563,0.5266578622403022,0.5683938435469759,0.6952641373595496,0.7520992158558639,0.7013694895254265,0.6118579322677712,0.5762380029618053,0.753615697607133,0.6477187917364909,0.49819874202070175,0.6221431426850771,0.7514392925960574,0.5565033160490584,0.5685901372217982,0.7756675359999058,0.8480338527841469,0.6136355310459621,0.615239471815079,0.5451810834172305,0.48676381459889295,0.449057905174869,0.45382453255230276,0.46236089538110614,0.4094802873243138,0.4180456447792984,0.4149133555194434,0.45170161112330365,0.39106925917675084,0.4458274804265522,0.6065641614537386,0.4928220699356397,0.532482907527178,0.5857249420775519,0.8399950639855462,0.748739899424051,0.6848522723194984,0.9660044780406817,1.125587685260718,0.8790349578650719,0.6824556895275967,0.5698509712223729,0.520062526338809,0.8205159300024271,0.6008489466500506,0.654246999079538,0.6953876734999439,0.548544049893594,0.436848113021587,0.36124152530125253,0.35051386229012593,0.34288626756069446,0.3937297436288194,0.5347985120649745,1.2632158547064691,0.5585827617464065,0.4887536979930743,0.7494081430775478,0.9816060512405375,0.45339552791275173,0.7217623711975771,1.0128272230482454,2.7701094129746555,3.431340143756015,4.204285799636984],[0.47979575687954923,0.3727910940222524,0.3473760916950186,0.28199364143882266,0.3651547112582349,0.2743219998727939,0.22060038820776745,0.2885477913275119,0.3318669720542435,0.3044758284777522,0.3301456799808405,0.3974545678951235,0.31039023769054136,0.3024591077324604,0.34851974424569465,0.33819821560947183,0.37766913304103455,0.3602965934068791,0.41279904585738225,0.41326365118709596,0.43523970249996813,0.5423204664910014,0.6279396382705172,0.6702741818230611,0.851932036935815,0.5155886456028891,0.3578277109417516,0.33853473451078525,0.35154966143875327,0.34275690616070675,0.3555225356580775,0.3744171683269244,0.42815920317918355,0.39370853996659366,0.3522379286440851,0.3460111181410157,0.3574971607999676,0.37472524419002917,0.35964428714750524,0.35721760774245265,0.4197243520663127,0.4135870127569723,0.4075370163333232,0.7517926509474787,0.9462217840219296,1.3006762740660496,1.5380668374840882,0.8789834804644476,0.9692697481334286,1.1370095172915509,1.1644891891960967,2.174400305935933,1.9208308243936292,0.8229477690466906,1.303969000190689,1.1714154453675958,0.8537972829202982,0.7967977989984678,1.171628745770354,0.776995815035464,0.7011645245022488,0.6540283667791764,0.4311285195368311,0.5871811770844758,0.45862172939267204,0.44244825110892166,0.6045143992591999,0.4321123995705412,0.6586733838747765,0.5702685132754227,0.8019557787735331,0.9898555235834284,0.6912108160531473,0.6967781692125221,0.4923907398021496,1.0645470560109962,0.3943447829422981,0.3653919323232527,0.35208714722765255,0.4137520211644957,0.3982259872943061,2.0692080552035246,2.0822864985731844,0.448498860232091,0.497733753188013,0.485815410320096,0.36806174992942403,0.4266514562436381,0.34909723680660876,0.4250966597738355,0.40714542899424455,0.6483576049040133,0.5019527734666942,0.3947418720870541,0.3881692482310905,0.45234901872727246,0.45060041534642237,0.40815295910244015,0.3850816336385638,0.5817410710950495,0.4175097153393373,0.47656935123492994,0.3638196745819849,0.4301445143477564,0.4766463047331904,0.46901696222158606,0.6313773958291875,0.4338695380997549,0.47221993961616676,0.7279533404068238,0.3868345194496977,0.32809878386343194,0.2825106223337853,0.34646380788204373,0.3175278108897552,0.3345257692137007,0.34864796321560737,0.3747346778802711,0.4383738406341631,0.404851538866272,0.40822009448883745,0.34973990483113354,0.3843434145768797,0.30882601082670497,0.30911414248132374,0.36261681199812323,0.3176012892078108,0.36057984968809115,0.31975349823560634,0.42114550697413206,0.4113515636371668,0.4347639324908314,0.43282083094116985,0.5028388981781066,0.47072213581587086,0.5959035922700434,0.7662196683343787,0.5010066473645158,0.4907633984029405,0.4498677406399131,0.7139153199576682,0.6363546880114844,0.44649224961243467,0.40733190091118177,0.3870566938096901,0.36258241710865924,0.3434500370783796,0.35058456512798153,0.302919254838305,0.3327223967306081,0.4091173810635506,0.40129349265176956,0.6721540769733042,1.3437620239852728,0.9843540217188524,0.47272803926104223,0.3562856509397558,0.3686065311584309,0.3398766340415199,0.3857764191522781,0.3760208710591004,0.3502337159504361,0.39098037672578795,0.3685325272668516,0.5708545786703655,0.5451010060404291,0.7096893087362885,1.1948253974701466,1.0671746535125815,1.0739653918623786,0.6045130699726049,0.5314042394674,0.4802428490903636,0.4312495211467215,0.3482413166437645,0.38615797646418676,0.38971532173916507,0.6208192747438829,0.37540850910436385,0.38676889616060584,0.7632138648578067,0.3911486420360056,0.41223789805310346,0.47367121779246746,0.4965529007050852,0.5200092097817731,0.5476325432502092,0.9722537886999529,1.6799844845136087,1.2856271361060685,1.215996370023196,1.1780310013583262,0.9079113669688427,0.7909324779466258,0.5594305766476513,0.5362583766481057,0.5851136729743686,0.4023056241955914,0.4266477918744585,0.5029801304246347,0.3460952221541758,0.34841733567977645,0.3450750909246352,0.34698797821856514,0.3354344063433972,0.3620260850698778,0.42619063862265727,0.37706598754513576,0.44062124655183,0.44089403499283947,0.48282241031844453,0.5109822675324438,0.5768229268869874,0.663946341739588,0.7381428309466292,0.8748248961978792,0.8891664785057336,0.6269772436689967,0.5039339587771169,0.5482000525569479,0.5489052853918523,1.9137772252534708,0.9487655144277902,1.2765193775616739,0.5947089979143444,0.5440033903769654,0.6010273572673749,0.5914244487484327,0.5315605936652782,0.4016421309951979,0.6749588408607586,0.6673124816212042,0.7732456024388643,0.5506172095305414,0.8176151234123977,0.700823441479938,0.6746468419707399,0.9024459726871165,0.44768255686795555,0.4790346437599063,0.49125806993592863,0.5672753189963462,0.656001885631308,0.781786776665032,0.6841598398462175,0.5965777556746145,0.5680452642965058,0.7543729939793885,0.6416823836975342,0.4997147500745627,0.6435310307601976,0.7757154863096927,0.5540341720211085,0.5807138707657749,0.8108085741867673,0.8605927724187338,0.5976885043468311,0.6051833189761726,0.534339851577917,0.48552112814016085,0.45301950017681847,0.4526160440661373,0.4543805746901935,0.39648079250605456,0.4165237380051771,0.40219350638092627,0.43847510090974073,0.38123406657397046,0.42776050331973686,0.5801947366765704,0.5000990630738106,0.5336851788087146,0.5574863891618812,0.8122848871674374,0.7248993057255868,0.7055338808598783,0.8976135274809663,1.0918266991449015,0.9065334170603034,0.7003679248226687,0.5637673561192434,0.4804074665785415,0.8037343640433395,0.6830439382127527,0.7343330523866087,0.7524935396249388,0.5771449404864545,0.44679427400107485,0.3747973230173426,0.38298421573261376,0.36264299881436324,0.40629986201234825,0.5622198616776783,1.3543476761807463,0.5485737803691586,0.4797880898149849,0.7671806488989065,1.0063065229298271,0.43590969185627876,0.6893484818828123,0.9813352743158144,2.7247883775444937,3.3079689920834907,3.9578230284172276],[0.5571604996103648,0.4268933730950206,0.3944490988871885,0.3159284220461807,0.3321763032291842,0.33079403859544676,0.20379831005180957,0.28559603432226605,0.2884274098276284,0.2760155818351315,0.3278798394528246,0.3908458266275323,0.2875265574880176,0.2778896477337639,0.3689451403523338,0.34032458521679565,0.34268321632126025,0.3379731989996904,0.3802610171042093,0.39948584097496187,0.4139740747008552,0.4931910431061656,0.5990797470440363,0.5926046014518545,0.7800850368833255,0.475698819819107,0.31302532784748155,0.29889686519492886,0.32792107924751457,0.32801468089933883,0.3691508306820118,0.39582977797135627,0.45005973319845644,0.4053095741130633,0.3614404303511347,0.32698214405881176,0.35517646945384673,0.3257001846529328,0.29242014221526347,0.3152990845409339,0.30963220157104376,0.3655968631850522,0.3831257510706819,0.6266044213680001,0.8298286945960259,1.2049276115767096,1.3613100725249496,0.7351679412004849,0.8351261027722134,0.9727023062070183,0.9637668935835464,2.2513256276440727,1.8567265819847636,0.8116002791800233,1.14447638399461,1.1444952221499243,0.8621358464965839,0.7503520942209382,1.1571164704156522,0.697300182329563,0.6689461289992742,0.6782184932362444,0.4578266206494699,0.6090094241547296,0.4563395478468785,0.44848538047727543,0.6035798409765374,0.44442297561706234,0.655741505148224,0.5770060455883688,0.8313225775558619,1.0595951779137025,0.725900709862974,0.6721459201465391,0.5324882322516011,1.1235388733092089,0.41260660022097606,0.37360472510976955,0.3446978166111976,0.4263934987215456,0.38484001128519246,1.9314518202699362,2.069151103276653,0.478832426447371,0.48946593963203777,0.4953333483841355,0.3386831364328742,0.42504428876960026,0.33252465186848484,0.4298329758784504,0.40649713240882107,0.6406306821920166,0.4926502268382172,0.4275676518989698,0.4120856277455258,0.4734398790385606,0.486046078309131,0.41027662193164194,0.3988350454939789,0.6123615957430962,0.44016118677653315,0.4967507514366002,0.39880811917423775,0.47521830482649735,0.49204548229761963,0.4764505629228913,0.6418848109042654,0.3755876416976403,0.42037010452999035,0.7222301536905105,0.337592983575105,0.2812306519834054,0.23474772108361433,0.3000972858178893,0.2696149375236973,0.27811837960943436,0.322635174059653,0.3004198263423414,0.43713249052065095,0.3921648265035216,0.36958863795506497,0.3107229588244707,0.306237150893684,0.264391748149216,0.26627846546838924,0.2760293821248163,0.34883331832382525,0.31809257695160065,0.2743441780396055,0.3761869643324244,0.3554380182037172,0.41896704211223224,0.35597039051566276,0.4735175817285777,0.40959968465549895,0.4863174734116338,0.6927387084474327,0.37705823228326296,0.45931297757338124,0.38022214660492887,0.6398301612328368,0.4952229145225124,0.3722839112573143,0.320955332032947,0.2953144666720383,0.29259605243067216,0.26220487584154795,0.2956247786364288,0.28677396682663914,0.32291554555125007,0.4013435209471722,0.4324551348495601,0.7459228160945932,1.470660995439866,1.0387654203250922,0.5083876718526823,0.37471772271783105,0.40317741176263133,0.3644937443146454,0.4033540369582665,0.31809712431583204,0.30217463458516347,0.3011499213570964,0.2838131434672322,0.5034139897718337,0.46890934690675845,0.5291341901966226,1.0043342895077216,0.8934737991117488,0.9436990078164322,0.4849955606703726,0.43501179784760036,0.37527977230666243,0.38129129519843186,0.31639865606132217,0.367291482789883,0.3817267366368186,0.6552724803107534,0.35480884529782536,0.4447217145484255,0.6935736208734603,0.3633947283451056,0.3651198669797309,0.3937431104615763,0.4037552232950734,0.4132395177886886,0.41874631059715617,0.8018893307183829,1.5390410424715086,1.0318340282569045,1.0918712814949887,1.201305205957053,0.7648439065111509,0.6677628312491828,0.45973834661720914,0.45154433349132295,0.5395227873495937,0.35922562553511284,0.3851599613197603,0.4794788287121149,0.34017763060203393,0.3676545191550541,0.33637845790452675,0.34768743650697137,0.36694144628304176,0.38789503784656026,0.4298888482022959,0.3905644669412699,0.448747998459262,0.445193016429761,0.4994180413921592,0.5134734072119559,0.5725912439705756,0.7103461784460695,0.704650179278194,0.8900681476287126,0.8781020811718081,0.6566604687113495,0.5280825301204636,0.5589727454255344,0.5295592176059428,2.0973698713994597,0.9502023055816369,1.3446857121826203,0.6304792542387542,0.6180499081622126,0.6575081049803138,0.6950508983141728,0.555586623650909,0.4063447160223413,0.6740561550595698,0.6419937509738443,0.7369553383904374,0.5202081756385449,0.8468128327485059,0.6027062529107998,0.6415482438522454,0.8533220118390469,0.4085419798254459,0.4802723822905138,0.5195755702401837,0.6160501569348591,0.7292972291738921,0.8575444084704146,0.7561619000786283,0.6614697694825485,0.6271058626307847,0.8806565535291025,0.7151466570365429,0.5404264353475342,0.6823075873293689,0.7838443252862498,0.5556013327069359,0.5863622133320022,0.8004625207822545,0.7895759575819016,0.598137849567789,0.6049335828284564,0.5406937512941676,0.5153704647975671,0.4875119756766923,0.49812941210939155,0.46967606175398086,0.41495114836021196,0.454061867987429,0.4124315464321253,0.4358305869837385,0.3820239803781005,0.42936387031389556,0.5209603681436765,0.47903828944080384,0.49237657036824806,0.5244863193159996,0.7728357637011268,0.6941895716236496,0.6797032834245349,0.8401948030436124,1.0899593036303283,0.9025679402706978,0.705005737816062,0.593588380304785,0.5398539629305987,0.8395908568194798,0.6845636185626089,0.7019545967623942,0.7051608135519749,0.5229165036195306,0.4259928038446804,0.34165072135349284,0.3556532064583206,0.3471693311827265,0.4195312271164016,0.659630288565706,1.4871967564747786,0.5025626214168792,0.5333992315412593,0.8823139209120325,0.9520030515447143,0.5405406081031059,0.7690944855346691,1.3836055564440977,3.2963984708642147,4.1296508892358075,5.010165410221329],[0.5535302968101588,0.3825599594756774,0.4215404317643663,0.3079895526753639,0.3530567001306629,0.353906437714735,0.21973849904423215,0.34837483903102057,0.2794507367585353,0.26903222675546146,0.32505409307789834,0.3993553726586024,0.2902811947487362,0.2675103007835733,0.3727524436991295,0.3415954765819241,0.3362444208998983,0.3302308476453282,0.3840816320666684,0.40019009811495193,0.3987563707216839,0.4834744987088021,0.5631230113979238,0.5839426045584182,0.7835538623083842,0.452170106507642,0.30812668135630766,0.31338746255563943,0.34394582674085555,0.32999296186703525,0.37146897455601957,0.4100488584929784,0.46070036543577586,0.42233526139381083,0.3845017271776435,0.32656207016752453,0.3582226007112802,0.3410158838402493,0.3222122068900792,0.3384436783988322,0.3166916064243287,0.3735930691331355,0.39712458287504826,0.6367779841347343,0.8005704460405678,1.1726578391770786,1.3184451090793157,0.7193915958897813,0.8386697285956904,0.9819591042960194,1.0131907946365173,2.2386987821100086,1.7840844763380217,0.8089648711900996,1.187264072950137,1.223625249894305,0.8933694797090083,0.770749796614397,1.2507931322063832,0.7774649745680785,0.642572333290726,0.7107003945344598,0.4667129535249776,0.5982827283409844,0.43879878731980926,0.44483804113204517,0.5964474719231694,0.44281997000860435,0.6447171918030997,0.5877155562810837,0.8340035591004181,1.0753595231547235,0.7565379720589063,0.6593576489295868,0.5342877814057885,1.0753904667232288,0.4190756718632928,0.4053978717339494,0.3622958083094183,0.40631050242764494,0.39761463169811895,1.960799965820242,2.1197659984587593,0.5069310805517698,0.48854780089722777,0.5194035869030963,0.36207060594961166,0.4333461249354098,0.3306216507221266,0.4541538278195876,0.4247092172621776,0.6145080806579055,0.4852286513902126,0.42161648481405917,0.4073228579993599,0.4618622614379427,0.4992566692289233,0.4196547088608793,0.40764170569706837,0.6510478357489076,0.4599854694258133,0.5126192879838973,0.3963805495774585,0.4793876786157089,0.5265780767682217,0.511164752774236,0.7209709810199172,0.4123079765951723,0.44398185433208265,0.7429623542528329,0.3854153217326942,0.29047639570197403,0.25197857360633447,0.3281751839453118,0.29426795145874357,0.30457684903219706,0.3566662776413073,0.3105946804541643,0.42101402500465945,0.4027498386474732,0.3689876137209523,0.3237269401535448,0.30673658262338005,0.2729708078301861,0.2819306769743251,0.29881626819071744,0.34088366091470634,0.34217607457008103,0.30124793947706213,0.39719778614402396,0.37051439169111355,0.43537787371632164,0.3674429209741999,0.5007438437321259,0.4259192135334728,0.49610680359563225,0.7267969809427341,0.38471065269987337,0.43788964447840784,0.34353139247758957,0.6031220114180355,0.463115750575189,0.3748534548634726,0.31562609433474514,0.30642814601902474,0.3193775505849322,0.2858577131270259,0.3231492509596083,0.28928760005982274,0.3269125946802146,0.39145701459592264,0.3969489840982139,0.7596372985038957,1.3591461497141941,0.9371348924003784,0.49784356099632404,0.3666663723029183,0.42084608247600663,0.3511760900687514,0.4347636448059627,0.32282375105210703,0.3252035131625935,0.297712662630708,0.29349400468026493,0.5537397123280182,0.43273645857162635,0.5287867218089907,0.9362257210047372,0.8758180213649398,0.9458660362529205,0.5090173256621046,0.42686481155105926,0.39989518492796683,0.40164973126043335,0.3423350275875144,0.3929893992416526,0.38541985293065706,0.6761836849158301,0.3777535165604757,0.4762260691448053,0.6745906326640417,0.3911020628375302,0.3795192722636085,0.4062956727732917,0.42891270421200167,0.4296115995069234,0.40837554930921566,0.794045599934103,1.549747546826305,1.046994229337777,1.0876628371199861,1.147957468654005,0.7373522606087348,0.6477539254687797,0.44132539081153427,0.4414820955940653,0.5346400087106205,0.37100050751874925,0.39455848060369353,0.4653814817773574,0.35627798119483295,0.39200776363333417,0.3609883004685878,0.37520757006488303,0.39697786113954886,0.41100443139922377,0.46771921997439986,0.4182727101876538,0.4770085392570183,0.46996576737829465,0.539725461805651,0.5404860040090034,0.5932111854934221,0.7696184735439321,0.7179550578847236,0.9091676957457525,0.8873815608524083,0.6770531037934243,0.558192478008542,0.5878768448827695,0.5522841345768806,2.151961516726118,0.9756167077280627,1.4039535863575634,0.6490273747182768,0.6218210470784645,0.6634965859816253,0.6904488053719432,0.5688927490466176,0.43002694272514924,0.7199518938937184,0.6365659383963334,0.7595772172271588,0.564855463869799,0.8746753731555692,0.623473467639707,0.6550106100995678,0.8418344686592636,0.444260337407202,0.48811838610075975,0.5297058743940979,0.634137478551631,0.728106526755148,0.894186412145531,0.7588695268944176,0.6763688356373773,0.6609308792551951,0.9042424344776799,0.7420102584739688,0.5781244616267368,0.7248323924085367,0.8233554151209507,0.5867093702420527,0.625764670106254,0.839922983814833,0.8161696421988333,0.6196706064733698,0.632987007231272,0.5655613351983622,0.5544236886508863,0.5286991824178277,0.533665748019016,0.5082200263250639,0.44875135631084845,0.4831268409778134,0.4494700482245244,0.4699697365750819,0.406389662746751,0.459434556813873,0.5225687672974091,0.5063983210322506,0.4953198623853247,0.5201438016507473,0.7529409418447339,0.6770190351453143,0.6728086630527185,0.7885352619658447,1.040609432566934,0.913691608276078,0.715564660301001,0.6189489593246844,0.5732912640957207,0.8319156215314815,0.7301009793815755,0.7273129085388005,0.7433629337364183,0.5712418793539936,0.46515881215246274,0.37312832585583455,0.37913075145256625,0.3954059459620048,0.441663425785091,0.6887851634176124,1.5228598997189702,0.49527830528009337,0.547381291819786,0.8777206346083707,0.9641799646834107,0.5478986346049457,0.7785085558834121,1.3686812828468642,3.228836043188606,3.9249508422953845,4.626390271276963],[0.55085189577193,0.35707166282124336,0.4665108026633502,0.39489802507055355,0.4341108162115393,0.39818789611806654,0.3138399810206578,0.4018946729256595,0.3177615152344241,0.34389790770992035,0.3889024928813898,0.43514677684488146,0.3659920998736762,0.34073516806135173,0.45992186215823927,0.41614281237642115,0.4068341870588275,0.4224787473728157,0.45995474293576216,0.463032875574837,0.4820874501963552,0.5444360890045062,0.6288321656337742,0.6219594952675938,0.7661987762833763,0.5190139432909172,0.3977721617906244,0.40564408372996497,0.4156361371828786,0.40098147550685026,0.44572886379759524,0.49507687860597993,0.5481205952446323,0.49852271042548313,0.45530606054953215,0.40633964018379337,0.43664313960938267,0.4325132880474498,0.40017913481388834,0.42909679931796985,0.39289472641209766,0.43992289056631706,0.4800268627675133,0.6363299117749798,0.7868136766256484,1.1725903350372007,1.2623956439710116,0.7183404720435794,0.8259864018061672,0.9531319164778627,0.9616630468704267,2.340400871277915,1.8296536543625646,0.9039184877848733,1.0833566805370942,1.2315546083543345,0.9779180296499816,0.8219557630184188,1.2593285424602747,0.7532232023249416,0.6790272438612344,0.7401329426992981,0.5454851999532051,0.717333475943335,0.5020182826196853,0.5207476817405464,0.6942914034391624,0.5225791157040353,0.6898617230347963,0.6358505487482459,0.8848171491144552,1.1862852949951654,0.8171281748464763,0.7190990160893566,0.591040957258424,1.1670063205424672,0.500147206931593,0.4968184980435004,0.4291094802151215,0.4607043794632692,0.47200176451064135,1.9085090229295913,2.1571347577635023,0.6245532462653506,0.5557887254180423,0.5614594468843563,0.44066356881713753,0.4974249276201944,0.40400422774275535,0.5194283735002669,0.5022619735055633,0.6808892813972661,0.5555420495777776,0.5170446611422699,0.49045703976260274,0.5442077371486244,0.5716683658855729,0.5024535171486347,0.5041707590141773,0.7514612034309373,0.5409835671504144,0.5680066393655705,0.465557181766245,0.5520072395667865,0.5829912235001243,0.5489622365830334,0.7737963606597996,0.43971923009981,0.46093812361895875,0.7455651907381482,0.40594619914692665,0.34438366809738263,0.3389222710713488,0.40980988276086494,0.36740048628233657,0.4011900189007359,0.40044378058438485,0.3946695367407209,0.5061371332184466,0.47280548180095033,0.4473076113623013,0.40266926165019357,0.4382709409363401,0.4122074716108547,0.40755221166295424,0.39673809779704444,0.3859564567144651,0.3844396742882566,0.35398208467151765,0.4312678204469829,0.4056405480726112,0.4654838341216778,0.41793591578300415,0.5495708764153469,0.4872954539319159,0.5439633250054956,0.7438545329698354,0.43840073757688314,0.5015504581626785,0.42737942079801583,0.6374177116859114,0.5296790110027153,0.4672510788393918,0.4112138739690449,0.39357917668003967,0.39733254765669673,0.3630018280288961,0.396446980248978,0.36677545213706964,0.3881943451956284,0.41121803537993235,0.4363124994642807,0.8894719324273261,1.5663278313854214,1.0216633620227273,0.6014299356781588,0.4443446865154139,0.49833218772982546,0.42394041383090153,0.4962528993840753,0.38521787296691773,0.398580728861908,0.3799045167341344,0.3716593500831949,0.6013106984016998,0.5416027678981408,0.546697698115223,0.9080531613554863,0.8599223790205213,0.932299777920763,0.543459034060089,0.4973905704853319,0.43973574682897165,0.4411852151923213,0.3984924671073071,0.4544926924737746,0.45513539889428933,0.7644322505269374,0.4427744426601893,0.5533933144394042,0.6576867659987093,0.434168678503571,0.4196050086024131,0.4480614505584733,0.48367719375454926,0.4828079847937314,0.4215432875580052,0.7784925445954065,1.4871121570937735,0.9951202305428704,1.1236710336492473,1.1772013479086736,0.7541512004481636,0.6698331912358184,0.47561115373093754,0.4658448919838342,0.5716973076701352,0.4129627684354444,0.42991929144974356,0.46547668555359106,0.3947269558475905,0.43909733816167323,0.3895688028488063,0.3988679963663837,0.426836457753564,0.42499983682702885,0.48776963657807804,0.4343720744980973,0.48458137516149763,0.47704137546448233,0.5658636268810013,0.55806016898117,0.5851915479721406,0.8301019136901675,0.7531958874694753,0.9271601036419528,0.9164440792214459,0.7078341397073267,0.5731022105630804,0.617567508857197,0.5779417893022079,2.224367130950494,0.9965564954020582,1.404103180991446,0.6401824615588607,0.6529073585674661,0.7224073515096243,0.7558999986571617,0.6064340852557125,0.4748873412073049,0.7747212837188978,0.6565665789273988,0.7891839058813368,0.5919615514780261,0.8992159366871549,0.5978052139801775,0.6553642615782271,0.8287515809610994,0.46055789660589586,0.5356217485959798,0.5940981771249516,0.6996509097731926,0.7852465768915388,0.9744539997918039,0.827583758364591,0.7434319408294543,0.7414994531347505,0.9824322100716008,0.798793913001884,0.6282988585268529,0.7852819662482863,0.8609891248360391,0.6002376856304554,0.6589735183711382,0.8707520349856568,0.7671599507202786,0.6187252067652608,0.6489112246929958,0.585104751285454,0.5875986605542634,0.5683315872552601,0.5639655779037916,0.5387179181838925,0.46058902726464934,0.5034669315450743,0.4544423195987704,0.4719939315229719,0.4114242441462003,0.46605696568154314,0.5399007986486446,0.5327838230745278,0.5104804038566252,0.5521485001544423,0.7575554242100832,0.7012107371699223,0.7125730622383322,0.8012866449862404,1.0461526825131224,0.9592036139892788,0.7644840455393387,0.641427953357239,0.623300257036977,0.8910544547845636,0.7887802054529554,0.7793955597678744,0.7840140190773871,0.6040009145444837,0.5165978727655296,0.412438494214069,0.406593130551048,0.4279298960925576,0.4577622271552812,0.7307025913001365,1.5487321453729974,0.4642792281369665,0.5472743959041287,0.8960258362082061,0.8790462852670857,0.5097364951833523,0.7744275023142225,1.483445018731464,3.321864287993542,4.157595421826075,4.998380542140095],[0.5010956962602953,0.30626082489976597,0.46948859432561074,0.30437180416882675,0.3725069779136036,0.35532079107434167,0.29449243020452953,0.44921727319009996,0.30947711569806324,0.3050012451032713,0.38123140958097373,0.4477754721959315,0.36671686843440626,0.30982419776959724,0.4526904588106889,0.42476322409341266,0.3926678741011358,0.3970653149001077,0.4391530083997078,0.44685092069299864,0.4484840178191627,0.5259382833694117,0.5900717728752194,0.5869316846123241,0.7502151969291274,0.4606070964469286,0.3585734572936012,0.36302455669576034,0.4164265810632164,0.42744516400624866,0.4514402059740144,0.5247456128111873,0.574873382889496,0.5387261404130808,0.4947500701363995,0.43020856324829587,0.47530793223927925,0.4355196177921623,0.402649645580639,0.4394035891955664,0.37520297712118805,0.4449655340023847,0.4778915984227517,0.64431961428407,0.7809265793903561,1.1704999692745903,1.2680089263251877,0.7180660326406955,0.8609623795046438,1.0124308407832963,1.049707990221081,2.3037654476362657,1.7728137932434067,0.9175014065609992,1.1950964311458425,1.344400056610355,0.9980513464369972,0.8531423701591075,1.3778580912166472,0.892354897494855,0.6412855655408203,0.7710370288575745,0.5526886073209436,0.6498475758029195,0.4724666999205245,0.5048381318528238,0.671760012830821,0.5251694744814933,0.6860365093116855,0.6400428986514534,0.8801316037075126,1.1618219444413838,0.8265571408198625,0.703908053393311,0.5928488139737567,1.1457141027592574,0.5010629186731291,0.53943032119912,0.4764242520652649,0.49945766939244973,0.5178993004373966,1.9379440951954627,2.1841765822931865,0.6508922110030584,0.5368819197467604,0.590301025548263,0.47275780829417224,0.5260684098455901,0.4273835899229966,0.5397548073456797,0.5286060466379846,0.6584803136061019,0.5609014239263205,0.5394399910231364,0.5008538715541528,0.5626249402551086,0.5857041129643157,0.5110664937113522,0.5223429217847368,0.7697654754311585,0.5614563737342482,0.6182710615040792,0.5242872990330119,0.6073298344023125,0.6545514602533388,0.6272665923276664,0.9113795816044878,0.5635816135205541,0.587968632880872,0.8235132926252142,0.5060088996501013,0.4101051508440205,0.3505307061781375,0.37829099605026023,0.36065502980642233,0.36341130853144205,0.3963017522778027,0.3423974273472779,0.4134481552402822,0.42972733654202194,0.3875252991988727,0.34498907201248924,0.3396098167321672,0.3169631713170296,0.320401494499413,0.3473325893423567,0.39721247496487927,0.4142158196590683,0.4183803083079229,0.49174335055574664,0.4407021020631161,0.5241597511874105,0.4632497072612143,0.6043681918342608,0.4914602374415788,0.5320909613300291,0.7793264736492878,0.4473592541788426,0.48783785381960937,0.38429170019051945,0.604758473624333,0.4696250432902206,0.40592119376619873,0.3717517178853176,0.35577656883037,0.3787703710320425,0.34088242375747885,0.400147987219454,0.3818919346347671,0.40730986286766446,0.45682493475736485,0.47666234424499593,0.882182138482604,1.3226873442880853,0.898379155520849,0.6050347399932358,0.4680002465540921,0.5510692258565111,0.45152480836041176,0.5412718742465512,0.3996211405150157,0.4173697974260749,0.3594066459777788,0.36495607153775844,0.6118499794431356,0.4832311210894222,0.5387596752472917,0.8821044138840605,0.8718188698287003,0.9596576359405595,0.5573867326296642,0.4815278291030261,0.43415357958573664,0.4656724548983514,0.4415620400738856,0.513619859745003,0.4926653920925753,0.8141873453984106,0.49412224419432693,0.6186835881862508,0.7093019921480621,0.5088241635489701,0.4965211638566165,0.5109020099946368,0.49135785876697924,0.47858121734489745,0.4315419585470011,0.7969412534457256,1.5364029860626494,1.006525729832026,1.038302972395702,1.1592530524043951,0.7226208754031842,0.6585075046117558,0.5169734110876386,0.5157451474196932,0.6197458403155245,0.4548374578040481,0.4519500993396469,0.49077184290764414,0.46842150454065107,0.5246426826063795,0.45339410477560116,0.4391513619053766,0.4866701279928178,0.47485670882536646,0.49413242058574897,0.46230801717096404,0.5322721441397396,0.49539024841309587,0.5865711949752476,0.5939110086551269,0.6167722076366975,0.9195308261236906,0.8115241135964282,0.9471796260968024,0.9605250086852969,0.7454427979837848,0.5965028996196114,0.6584692414957048,0.61438434759699,2.323343163124757,1.0281658162726113,1.4334186949153547,0.6867127476484876,0.7343099673773918,0.816325484861859,0.8384122502718266,0.6908087179031844,0.5582433809549174,0.8604732773187813,0.6873435301310252,0.8048722343934158,0.6377158878972272,0.948228257657546,0.6391804720245182,0.7103174235507731,0.8068146234082691,0.5088044531990447,0.6086130636791697,0.6655497750727042,0.7628414331916912,0.8580936519398098,1.0692310243111718,0.9269502711854071,0.8280267249738282,0.8429718415800893,1.068994146847562,0.9043299412785019,0.7153173901863575,0.8651368543777096,0.9349548467017738,0.6533039981561026,0.7220717218850707,0.9213903990815825,0.7852397350218895,0.6570391137508615,0.6926796362374323,0.6245164757979109,0.6482592378457691,0.6483567582674474,0.6485589784926231,0.5941885584765427,0.515749045203603,0.5749035085095294,0.5145236911664666,0.5214667059305033,0.4627589201015045,0.5318724776756962,0.5628459570460669,0.5533197642676797,0.5336010020205286,0.585454607460015,0.7574230541023423,0.6887214608430321,0.7070219659770611,0.779185577674354,0.9851940396698531,1.0038961513606162,0.8007594545484656,0.6594956858135265,0.6513668219796417,0.8867159159228374,0.7946862895777741,0.770825729522815,0.7602367552484957,0.5938683196037479,0.48796555270034003,0.4540789773330971,0.41316227189826193,0.4397853379227527,0.5303269644762644,0.7777644001849882,1.586129358787675,0.5080497200925888,0.5653644561428554,0.8838978404815843,0.9491662629396153,0.454442722700367,0.799700442819306,1.4560886109032838,3.1172076815556284,3.827450426605587,4.480961641780483],[0.6403626968807558,0.4571662951433795,0.5851131112924064,0.375579335892424,0.43849777203333185,0.44988484280325225,0.3454001197009049,0.5035740205650723,0.3524822726843653,0.34372682581450203,0.43362665649440035,0.5196909187641021,0.4409553615084144,0.36803911766175273,0.5377611867615032,0.4889263617806045,0.4514701497911849,0.4638102472022489,0.48084206599599,0.4981432375068178,0.5075222540641654,0.5448277047876674,0.6323624810311899,0.6315470334236853,0.759294010367778,0.5239442508980723,0.43040873503126664,0.4301640109137235,0.4747843040060628,0.5254992949279915,0.5707856750202231,0.6331213893427544,0.6953725671069898,0.6664886905169463,0.6123544090820887,0.5334745285702729,0.5762798810292252,0.5187660133489337,0.4754535970709186,0.5523538305019348,0.44148721346103154,0.4971858741549903,0.6022720422025335,0.6146289486984277,0.7447920136903247,1.097585215218731,1.1620513015602374,0.6829759498323373,0.8039874555681228,0.9545268770422893,0.9278003737979077,2.3342628925224695,1.7611905758353983,0.9742386777392902,1.1152568672327883,1.3316851181177474,1.0982438953891973,0.9299312969424766,1.3876941377250789,0.8895503482221822,0.7070933189935628,0.8426471910940225,0.6520757615839247,0.7612998173095307,0.5601912460954757,0.5907483235350005,0.730847429684852,0.5871600058726486,0.7485883686598899,0.6949358764401082,0.9287239659411077,1.310068347966455,0.9195697675524029,0.7833853001203765,0.6958371282226414,1.2953489207302402,0.6034945987445954,0.6864748135992529,0.5913272587344056,0.6179192724911687,0.651083817194279,1.83777325546326,2.1913998723288897,0.8938533600216907,0.6479570917183234,0.7006365947510631,0.5663295133960156,0.6504785377376736,0.5425719527091104,0.6448324472499076,0.6391006593048552,0.7868866838177552,0.6906694485419306,0.67503861771188,0.6101370325429499,0.6769976826069457,0.7266674215323058,0.6266417573383305,0.6268748527732644,0.9078143332325816,0.6808232711530401,0.7603102391390864,0.6650740040846024,0.7589448857505386,0.7760067702379214,0.7158650738808632,0.9854735996063391,0.6692806553524078,0.6724730510709007,0.8587545079071812,0.5825398654641841,0.4868149893499239,0.4191794147944135,0.42236052154056375,0.4116181313099734,0.3941443670443077,0.4190908719425766,0.3773940132480461,0.5005602275576784,0.4831936407427112,0.4318585839411749,0.40361376177350944,0.3951609998746959,0.3529652133663005,0.3518657166587861,0.37553871995956817,0.48501078085964555,0.5194305446923858,0.5119897533628572,0.5846212231331944,0.5363768969610848,0.6398028272583798,0.561110678977424,0.7149803879809931,0.5533877413924547,0.5434917869542256,0.7835618418613743,0.4618413339535491,0.5101305871455425,0.42243027645021075,0.616256845734584,0.4730537102420212,0.4562686130980658,0.42751247072417603,0.4314251148476118,0.45993384816307537,0.4074715881050846,0.4710991209126769,0.46875029552462266,0.47954826683680163,0.5576073028238899,0.5787358364551608,1.0927833742405813,1.5132668859737461,0.9772897573582253,0.7646981829445807,0.594546881905567,0.6748516292569611,0.5678677886409532,0.6481180432287502,0.48808271008047444,0.5175879225886283,0.4358219717583194,0.47075277817994676,0.7014204604911556,0.502477387355726,0.5503406126358109,0.8561193402890617,0.8574898238150187,0.9501938024191389,0.5639262442699352,0.5071659635098756,0.5056067475755264,0.5522531027055353,0.5669211013306074,0.6473843835589106,0.6112391718681318,0.9450051936733407,0.6512722891300675,0.7729794112517878,0.742569949755667,0.6132182672444513,0.612578835906459,0.61532695891544,0.5856778580675231,0.5785208811708598,0.5063173630565757,0.7885445087065281,1.4873860291463088,0.9572563977240316,1.0908761242772889,1.2087285024809262,0.7201561412116666,0.6674269602851797,0.5927058798154029,0.5982176066641954,0.6830113431039986,0.5717886830643019,0.5825443827978316,0.6229611760886246,0.623297149931197,0.6747641938966967,0.5889225971144912,0.5762306497212403,0.6431949620834273,0.616736343934427,0.6099569179872004,0.6001107068539804,0.6586138635025233,0.6283432396385882,0.7111340476244871,0.7162109781186785,0.7297212732873565,1.026598563921173,0.9206060254089053,1.006570303809301,1.0292241827385036,0.844358902616743,0.7109309851979615,0.7730208762293141,0.7353529068551246,2.4391420960079895,1.0962525695194527,1.4868238781205807,0.8202195857001535,0.880400289357411,0.9556845331973314,1.0143080464263166,0.8249000620895242,0.7117498448252453,1.0096728234294332,0.8262292072968452,0.8800575942304651,0.7669221515004002,1.1121795016402851,0.7045487121660792,0.826295492819863,0.8659356210213991,0.6409346123809879,0.7286317814480393,0.83124449301863,0.9304260979227557,1.027724616900749,1.210284107717847,1.1155602029537457,0.9706491429032683,0.9869364912570262,1.1988373658369504,1.0169042928038732,0.8299415208076559,0.945834267322867,0.9648408402820257,0.7182713988498816,0.80683650754324,0.9705472987354393,0.8170678348337218,0.7495170020857452,0.7889610494483248,0.7351526525641685,0.7694093534359521,0.7874039415086157,0.8008606582518987,0.7296377944239333,0.6588547161874114,0.7108668279558568,0.656888393329768,0.6536392452744609,0.5892491851596893,0.6735184284927258,0.6804773662573401,0.6552136996951957,0.6468316453877392,0.7016176416746585,0.836059276900246,0.7754277800123787,0.7963920065488,0.8663459976092883,1.0591430865697833,1.0749441479921598,0.8999359562967733,0.7623416952263633,0.7586989526904098,0.9633613931362961,0.8725295471245549,0.8462122969454474,0.8415672884735419,0.6988050257381944,0.589809191593743,0.573186361510768,0.5044731050015353,0.5610695156503475,0.642437270374726,0.8707099187356399,1.5978871519594686,0.5839376304273348,0.6704074517613752,0.9384404285045925,0.892024555204051,0.5586556399144587,0.9210455611047256,1.6120680141376513,2.991766989711803,4.12502482878645,5.2865814290130135],[0.563753698414633,0.35997128881850576,0.47123390871638804,0.35942328994664297,0.37605122199998087,0.3920294170765362,0.2940747760078944,0.3930946689200273,0.33954066384016945,0.3803084708866223,0.47975319907844083,0.5036982418517505,0.4532355513421903,0.43389384931116476,0.5701936992393406,0.5159876728231584,0.5008545191407975,0.534252255553325,0.5593619503863613,0.5482361254824125,0.5786169963453182,0.5928152897019767,0.6930251974273065,0.6686106379778068,0.7778126078583228,0.5899426717066891,0.4937652072038771,0.501735110254714,0.5089260975619438,0.5056993765920456,0.5846753290835992,0.6013617553904874,0.6581548061970572,0.6242825651143389,0.583241021037148,0.5198120053586834,0.5287899771814254,0.5174619312697211,0.47367969896572304,0.5389318323716913,0.45214779060951515,0.507128573032188,0.5891464512162332,0.6036010560061416,0.7979869157360303,1.1494123472991133,1.200373777676741,0.7053491379951949,0.8120827189920657,0.9296536544031933,0.8873330605217451,2.4059179256479446,1.8513898981317995,0.9966071530516051,1.0174717173549572,1.2702105592273079,1.0861023924163817,0.9440754707262707,1.3429075665147552,0.8268998449852744,0.7451310819076226,0.794882963097568,0.6503190215521041,0.8195225119832452,0.6008589179153974,0.6116700035602856,0.7658244792479814,0.6293063772912595,0.7999707410779018,0.7265794405899858,0.9697932143596457,1.319552965850609,0.9178543724368442,0.81300151810887,0.7169298139426197,1.3214981098614709,0.6140897011448844,0.6599708439509712,0.5625461776340119,0.5758560118899175,0.604412405340982,1.8233713228325117,2.183921533178013,0.8123389225512507,0.6226233963317334,0.6191739992585609,0.5366449841311071,0.6118537795722754,0.5268369713913718,0.6254575360207892,0.622259592517848,0.8186971314148868,0.685562976228818,0.6613691970702957,0.6200265922827928,0.6756488878376941,0.7197439412584881,0.6058916894215962,0.5955961815216282,0.8340628584695616,0.6371403212531834,0.6508576958027006,0.5663116059961623,0.6174944374702309,0.6309439897515144,0.5817727301775735,0.8270613878574468,0.4862733259350886,0.49714614170609256,0.7827358283193506,0.4307340189081028,0.3837660207752454,0.35641311721276037,0.4127882438542616,0.43821335622342933,0.45121210906134057,0.48435303057474893,0.433617352926674,0.5812270726041704,0.5592420629977619,0.505325640093249,0.4828849895803727,0.4661072232035822,0.4260362743107228,0.41660541086674413,0.38286007352081763,0.43122334980926397,0.4169660603087807,0.3923335952671393,0.4721548405343744,0.42609936569308604,0.5085522484765478,0.443461517152929,0.5806187163956981,0.4936044155509748,0.5196119144686974,0.7214631826408843,0.44649143880459197,0.5083735952832815,0.4468517197112179,0.6377904342487735,0.5375758313925341,0.5052912479015627,0.46314975117242074,0.46133660822156813,0.4809849470874133,0.4317861825026652,0.4489010217379189,0.4273113564228383,0.4321843652571006,0.4395640732809786,0.49256696119928145,1.0098871847873225,1.7441268140318686,1.0813019547914495,0.7092131426802434,0.5253885712812718,0.5699029874880018,0.5034276346364459,0.5564443749846929,0.4576694411664427,0.46857974967119087,0.42321746125591836,0.4477295230444824,0.623635699839322,0.5258824517909679,0.49361443174078884,0.8527133773676484,0.8111710559343996,0.8991779770077531,0.5228280164582289,0.5015917229118954,0.46169503324425704,0.5061297860318701,0.4785952814472055,0.5245259397731702,0.5196663052403003,0.8126832001001224,0.5353573620576217,0.6405437425663351,0.710364939945706,0.4908831722476717,0.4793488323909328,0.48126891508523206,0.49803267865445433,0.5348562011795648,0.48712588455257166,0.7551232402818293,1.4216800326510595,0.9089258133672564,1.0795553415778971,1.2607638637049168,0.7068286439269571,0.6303492988318292,0.4927151497622698,0.48513990926753503,0.5929013096710977,0.44054829040103155,0.453436534046761,0.4948261846719566,0.4511814038808585,0.4992262847925675,0.4256429166747804,0.4366170893564819,0.49365537682169003,0.4827094684372554,0.49473505659317907,0.47550184988459654,0.5400545249240912,0.5200911672377255,0.5974577540266263,0.6134733282416894,0.6455806326258855,0.893787869146094,0.8037751693683753,0.9469800926975132,0.9617149219155835,0.7421569032446799,0.6053463818937102,0.6632574846063994,0.6118655721959798,2.363333467660583,1.0373724808217761,1.456351087055392,0.7029080068998931,0.7534913994934234,0.8126871889016813,0.87979573304571,0.6712338091907384,0.5318899794746613,0.8377267111543951,0.7019391800780975,0.7823065625466985,0.6255934140002021,0.9870968229538605,0.6154664642661372,0.703340763849328,0.8233356480741175,0.4985697064744781,0.5720596006493197,0.6658866218513976,0.7756462066202514,0.8657098321717469,1.0526998928194304,0.9249605620053929,0.8158497598710998,0.8349031345471518,1.0817887405825066,0.8572996707793976,0.6920711749313468,0.8444268318888263,0.8801340362530644,0.6399691724150727,0.7151567049087433,0.8967582799354041,0.7562750173607566,0.6728692771445628,0.7143677202268222,0.6371714961381748,0.6523203620405256,0.6432381968131371,0.6504110046158639,0.6004722618977906,0.5179432901109198,0.5758867796541091,0.5089228431040851,0.5143504564311043,0.4629707452724162,0.5318629562465006,0.5591669813002759,0.5626070000294603,0.5398268679318404,0.5784893368809287,0.7598674047524298,0.7158723771322338,0.7334597556810268,0.8104979184104003,1.057817834044396,0.9826597337226343,0.7889660594273419,0.6707848170005151,0.6547585771976285,0.9041079939405512,0.7912458485346162,0.7825043354684968,0.76786332087737,0.586816763727268,0.501713308177155,0.4400245024944327,0.42556496914505276,0.4260603443181927,0.5245380956023153,0.8286240001638209,1.5918175190208486,0.47769703247497924,0.6147476506505125,0.9565560557711756,0.7681438873919701,0.550227189076716,0.8713749892771357,1.7151899745553953,3.45222494045108,4.644857593564611,5.8349678724187175],[0.556364715116412,0.38267266859484983,0.5096882230472155,0.35893015458910404,0.4173107709749849,0.39996720092539634,0.2974272789497819,0.4087140933983173,0.3254811366966248,0.32292711040781646,0.40916064427561133,0.4751651965538165,0.4242590734349236,0.35009934307030494,0.5190432000754084,0.4616598508053251,0.43576896021317607,0.4572067851930787,0.49620535080995587,0.49936224100604715,0.5059161851168954,0.5526177615761039,0.6273778856111162,0.6155334858454804,0.7645495081930845,0.5204339376273198,0.435213853326586,0.43786432334499575,0.460485245456011,0.47626707341647456,0.5045080814203797,0.5448678064577116,0.5970584622755614,0.5693283753436992,0.5317503740591271,0.4731943327069434,0.5003203560773066,0.4763955206530462,0.4382657320899944,0.5130751646999012,0.4038709786801085,0.48131014682823686,0.5823807493179447,0.6075859097870768,0.7474881827323513,1.1155183672011808,1.1523367749635458,0.691400306777582,0.7890924614355759,0.9123794664206845,0.8887500172043056,2.374985559473415,1.7773168835839437,0.9691574223724156,1.0331269652945452,1.2770188410660852,1.0522939920848384,0.883381862088844,1.338951228938438,0.8297260935518153,0.693546699806159,0.8009988941980758,0.5989365920366699,0.711147883920144,0.5372112329482023,0.5626738424882215,0.7201025732334292,0.5725439761943774,0.7403823454333606,0.6755567331145245,0.9398459734749961,1.2519624348349774,0.8671859660470133,0.7186083529809134,0.6341755944402504,1.2312140727932028,0.5574751308871765,0.5912201299959489,0.5083543016475974,0.5281045292483445,0.5406628099430224,1.8106008267641187,2.1561320380720885,0.8158955063749662,0.5978941618056425,0.6200832325843323,0.5073444892134159,0.5804783088403082,0.4783692211641963,0.5562737635706991,0.5624125638237106,0.7045344706358135,0.5947557923650656,0.5742857704051626,0.5375940205181406,0.5951480997811409,0.6379566800695124,0.548765595504104,0.5659505089778377,0.7877741692001832,0.5978279613642223,0.6326785912437549,0.5489944272995029,0.6158729952265622,0.6466601918010847,0.5952096674696308,0.850238283170443,0.5159223799669049,0.5187474155720742,0.7825440483866488,0.4569518932330716,0.3883037198551963,0.356612770624654,0.41899986049618276,0.417782696117231,0.41131719616918294,0.43346331614868566,0.3930461696510961,0.49938976747540326,0.5105584800419293,0.4341107224105363,0.41666362491477116,0.3955184566144989,0.36955890746929426,0.360522831281226,0.3571385406421944,0.46038118664405375,0.4336670493003754,0.41978344605001566,0.4935749567569337,0.45352243644164053,0.5313875905833553,0.4680741966573552,0.6034316948486603,0.494745981801918,0.49083269235825283,0.7134654325077256,0.4265199644373614,0.4854867266241511,0.43026701671093615,0.6236641131303025,0.4706446267314172,0.4589926058376819,0.40442773217584094,0.41722004698693627,0.43421193621761855,0.38441267106562216,0.425778990299945,0.42009654654477485,0.42396755801519803,0.43743249605310286,0.48597087192370353,0.9877954692352521,1.721006317977206,1.0203800956411946,0.6619209495281619,0.5141972684610233,0.56114149200888,0.4890367752848761,0.5684786355139514,0.44214489612597174,0.4402746552898065,0.3993877153741956,0.41531432936697704,0.6085640269930284,0.48145073497349944,0.47273495517931235,0.769322306078398,0.7621090396789145,0.8645144762653956,0.5058830676915552,0.47379558323976934,0.4287252955638104,0.4970088374136061,0.4745782777800254,0.521247124795753,0.5114036958737531,0.8143745909285265,0.515315600745692,0.6422515485627844,0.7032315801492132,0.5046951374572719,0.49994987959981435,0.5022165052621033,0.503540694788671,0.5303441571115979,0.43869347429174843,0.7122558652826678,1.4245065065379792,0.864001585681744,1.072487723378023,1.2859139585930581,0.7039928812819027,0.6249716465097377,0.5176638540630868,0.5223164071891073,0.6129565514398552,0.4709529544551524,0.5034107433934004,0.5297045336079668,0.5093728409323628,0.5468088922500303,0.48172977197632366,0.5071490335776728,0.5520039675413424,0.5461352129960934,0.5467788484928836,0.54412031556305,0.5930634371479342,0.5943370690559169,0.6578046390550942,0.6769436979167028,0.7317623162353154,0.9695490562940233,0.8421389989435216,1.0337163595900973,0.9675177550910806,0.7737754817274523,0.6573826624441292,0.7085423047633397,0.6398867433164313,2.400208023589705,1.0537118887296277,1.5063794832112527,0.7426935301487615,0.7708257208618327,0.8314239704367254,0.9325756952628959,0.696428891940054,0.5910360933972584,0.8919315304629171,0.7778603152673869,0.8323275237501638,0.6904285831707113,1.044043634887685,0.651848932597348,0.730998328631159,0.8185064353080532,0.5488784710938114,0.6037089154291532,0.7165272122249746,0.8273102934154585,0.8923691751801452,1.0360640279756133,0.9186871257845879,0.8441419501574735,0.8406696554046651,1.078281404057309,0.8539052327775648,0.7149182167741676,0.8612978661816768,0.8923824606589524,0.6808141922119905,0.7488115359347169,0.9051018887686182,0.7848746857729836,0.7164557534363412,0.7430703055056133,0.6750024378787497,0.6835876085756764,0.667876771905305,0.6743160903811263,0.6440171351399324,0.5766189385671621,0.6265847634675118,0.5694534527708681,0.5696974030136531,0.5341605619411289,0.5980199840767234,0.5897799419753874,0.6039378549783793,0.5877318443124476,0.6256632435268034,0.7694756842720483,0.7377301552517341,0.7541679351879779,0.8387410487095077,1.0876099931889607,0.9599489195743418,0.799241620297255,0.7113731391747721,0.6951893035524477,0.9104510809939861,0.805919298505437,0.7796845522565248,0.7730242282828331,0.6202847076432245,0.5333568604538622,0.49188322347068153,0.4633270118395165,0.47503233049614885,0.5650673036270373,0.8690548898330903,1.5746252166019221,0.5145424290728463,0.6805766226561747,1.0165757012477141,0.7312311130440776,0.6259309157895038,0.9626403560567919,1.9618442052539589,3.7444787024586876,5.097636327751748,6.348050755225828],[0.5320322816905054,0.3840376923236055,0.5057050015575844,0.39202890358692166,0.4348191722441357,0.41343526798700225,0.2787079321918111,0.3758218225863617,0.27011828231445284,0.27746663410895006,0.3776262556282321,0.4328863194675551,0.3522840068928841,0.3095154513825202,0.44322432196215805,0.3949495668216088,0.38016178108788234,0.39663089118784756,0.44112493786146306,0.45512292164349444,0.46400905508006357,0.5249237756717525,0.5978532696066796,0.586009930626056,0.7225587300303306,0.47463510273773124,0.3845722165403268,0.3816497801470599,0.40449565445966107,0.4102836016506312,0.4405120575593964,0.49421181984334683,0.5465528783204247,0.5043790320209295,0.4638137631120691,0.40590823509257945,0.42806131577494344,0.41381640381805235,0.38573019301297146,0.43218763937260246,0.3541845111327497,0.42023738766099406,0.4848851343587149,0.5799973468873579,0.7367423571242719,1.1152876761451347,1.1628322610476416,0.6601591687918013,0.7898454996189846,0.9225090099314911,0.9047796681197678,2.3769329544520894,1.8206752987487966,0.940193667997795,1.040530477125608,1.255091113780817,1.0321337472487153,0.8626170344894867,1.3036713935786828,0.8004587758902252,0.6565228096821768,0.7228676904027603,0.5317203054960549,0.6751653142170014,0.4719316350366037,0.49307795354303513,0.6747957127473406,0.5160938660270259,0.7012672681992232,0.6277765334609048,0.8731778057524797,1.1773164777139515,0.8193925780891289,0.6897798529898033,0.580937508610525,1.1567390099244432,0.4847365112783871,0.5283993535328577,0.44093780224421764,0.46396918842126017,0.4987876013676809,1.9082656051205573,2.180518273835939,0.673135725625914,0.535242358531137,0.5427990082028593,0.43046075310880955,0.4902179435851444,0.4096291736755514,0.514502981902503,0.5091133562654105,0.6454614982767877,0.5382986255378267,0.49827224423396105,0.47642541633666113,0.5324875012262098,0.5840669045638601,0.47858663046905453,0.476514095386365,0.6815759218494434,0.5205432008595202,0.573906597930176,0.4719016506639205,0.5590018767936247,0.5858621029771008,0.5639205231859268,0.7821949271815319,0.4501424928029904,0.4600968311118859,0.7593370365548239,0.40627625935237993,0.3292595478106986,0.3130150361619531,0.3694102348855496,0.3607147812901414,0.37321939813291244,0.38908048133880396,0.34876864523330386,0.4489899470617564,0.45864812627254264,0.3947684654317381,0.3726439182769249,0.35744261699290164,0.33484844517017215,0.33268056780506966,0.32888497782310183,0.4661189302053856,0.39456057219486085,0.36629843857578137,0.45107564684694823,0.42839181847238117,0.505879544535319,0.430883809728861,0.5501718704820348,0.4635049819605542,0.4670440900651037,0.6748666265709151,0.401788997793191,0.4769318139321819,0.39044272799325885,0.5923086643050708,0.44722507616928203,0.42178713613631247,0.37392287186465145,0.35950336436511954,0.3775941617690037,0.33347846319731544,0.37190343440949497,0.36109141692651303,0.37690402199538947,0.4167204178994211,0.46815290260524284,0.8762150311288052,1.6530738671618426,1.0583841795346003,0.5888155415599724,0.45223538992322554,0.49761086012162764,0.43821310666275215,0.4835097592709758,0.3880136780677473,0.37935898397192347,0.34467998727437693,0.3505850532890763,0.5751799491410419,0.46892567288955006,0.4422639307505249,0.7802019368538009,0.755484317871853,0.8561395637848032,0.4673183287790636,0.43618296901603465,0.3914627589609681,0.44091314668076736,0.4061027356545737,0.4666645511343292,0.44791293305433927,0.7689286086498861,0.45467657638956405,0.5727311687292345,0.6832842977655132,0.4443794361947312,0.43553982730539365,0.43719710638048676,0.46047226572690336,0.49458631430231903,0.41063156571060466,0.732221670424653,1.432991761469074,0.8855883931128395,1.065891697873966,1.2530052534599208,0.6959246212988729,0.6128933286742211,0.478651619468597,0.47228108859257967,0.5808609998500573,0.4513303842268192,0.47134122447787696,0.5388715666150898,0.4777650829974399,0.5175993360937728,0.45279045492955333,0.47839592890248966,0.5314021164637107,0.5349032438838576,0.5413588705723603,0.5235466566089343,0.5764744879340206,0.5861476696222154,0.6414078745045708,0.6473998237003452,0.7136220739436568,0.9195699403901292,0.8042887906570501,1.0001021370132923,0.9402720872968049,0.7272949345632314,0.6488853541472296,0.679534762126663,0.625921516150889,2.3370736198379283,1.0330463005785633,1.4809130606678738,0.7366482514638448,0.7412372382032786,0.7777990738891658,0.8704757059756053,0.6490603286764595,0.5392954565725766,0.8129110375945633,0.7505246087429823,0.8047085959933964,0.6418821017212204,0.9961814610190055,0.6039422325121927,0.6796253525204268,0.8607887825245274,0.495951650257356,0.5866817172580018,0.6647625024306015,0.7824457613648546,0.8636707259088102,1.0184762748730405,0.9095257156408321,0.8154043753740412,0.7990956050428071,1.0383920256704628,0.8309134286032958,0.6866521552655855,0.8336655129578339,0.8875138349002785,0.6647001867237844,0.7237873667146294,0.8886510746999415,0.8107738947394857,0.6983157531381393,0.7220361693407857,0.6649272839228099,0.6652071596542036,0.6473639264545797,0.6509673612811527,0.6218067064720337,0.5611574472085388,0.5988083956818041,0.5443715967697288,0.5507534261715218,0.4996163689167251,0.5456899538226967,0.5612943748736956,0.5768607990934222,0.5433957216488327,0.5763879962723139,0.7443599397080048,0.7037743269155387,0.706298939950062,0.8185802739324921,1.1002438391764156,0.9093834405301846,0.7474603401515462,0.6742407120896468,0.6513374283406047,0.8721113273034029,0.7407947312905665,0.7227171503156776,0.7315042637707835,0.5845958005535429,0.513339534034288,0.4518393883652226,0.42764433750386915,0.4634849494588772,0.5302705591576965,0.8246573874169421,1.5792092248153986,0.5203917860791623,0.6763918168680877,1.0132982647699817,0.7755443114579188,0.694645919976149,0.9595614377297801,1.925091617274756,3.8114873850759237,5.1030850400018615,6.363166354579793],[0.5189967926564912,0.40515704778352185,0.5310580146629883,0.40232815252524434,0.41698047615102474,0.39246912730128575,0.21073202652615686,0.418590334252305,0.292310573829437,0.2793242647239729,0.35519122678154824,0.47163158214605444,0.3498577151293111,0.3006936520447898,0.42379954111664986,0.4194033309733288,0.3702927692633277,0.3817062917687499,0.421701127665788,0.43445556133929975,0.4295714995612346,0.5241945652905158,0.5831868816402697,0.5888250155703962,0.7634626920908487,0.44002323094757195,0.3418182608456196,0.34947314717765354,0.4043212278815507,0.4140355348354142,0.4600640523082707,0.501875785167621,0.5603881507192577,0.5207952916082144,0.483048946851542,0.4262697862047574,0.4467519095970156,0.4010143992554289,0.377553178808286,0.40854626553613177,0.3477791736444635,0.419751693711524,0.44506588459049123,0.6251158965229129,0.7517427096231951,1.1396234376738659,1.216566749005702,0.6856354516702486,0.8302481496603981,0.9816594622554058,1.0184943931614168,2.3017916335054167,1.7430888129435946,0.8814462144383541,1.1711852989499276,1.3239659658331209,0.9687531358284716,0.8298088077514243,1.3743394926411407,0.9014822626106409,0.620563959827474,0.7645452371844415,0.5492622818411802,0.6164510823366024,0.48802789215897213,0.4886626098377915,0.6272335873067707,0.5074008403719976,0.6342847659485887,0.621501621681421,0.8339847340909877,1.0890438419171773,0.7980653356414933,0.671600222288684,0.5745635093556238,1.0633139072471136,0.5026343695403807,0.5120397282251015,0.4699720866443692,0.49248634856040524,0.47987816547919093,1.9552491350997014,2.1598091311654315,0.6015595095121518,0.5380340915938826,0.5781478894379215,0.436696056346613,0.5128576633023981,0.42713307895939107,0.5478239647288594,0.5208455473729714,0.6330911105819447,0.5264626714390763,0.5012141933607669,0.47781930735405664,0.5190796904989058,0.5698444773789985,0.49010698181591644,0.5002596531899912,0.7355749196580663,0.5426629510391987,0.56564912209406,0.47918764854645757,0.5649025349671092,0.5976304430016415,0.5771653771243735,0.7880926761317096,0.47491361633881723,0.502790065895901,0.7899725854487961,0.42903763006405776,0.3394120990207604,0.3019852430853462,0.3614928428409293,0.3386455283147046,0.34163646845836815,0.40336310196191155,0.32786886807365495,0.3928298014677665,0.4384617244588879,0.3488173282543564,0.3248967486519758,0.30037108234573134,0.27942458364714023,0.2847433182565622,0.30410784908824573,0.4036063611711398,0.37461967533710905,0.3427456175595377,0.42589714430498093,0.4068011734835669,0.49048817740676787,0.4081639158412582,0.5247784683246141,0.4501164377357528,0.4721227952892603,0.7108520571891669,0.42086618113167995,0.5035383874034933,0.37543683340428713,0.5812309039601046,0.4300550327027316,0.3886743879745913,0.3502067843819132,0.32771996099108186,0.362024393286431,0.3220682075633436,0.3756137691783538,0.3474801396804514,0.38245637296014,0.435193347030153,0.4784334002962417,0.7838438734966158,1.2636592430675635,0.897738795258662,0.558121732522505,0.4581313439288211,0.5061565787051628,0.4284751015884761,0.5158570898385577,0.3576935762481119,0.380866533956113,0.31371755399660955,0.3440948577350313,0.5818120967216818,0.43908236521884114,0.46042290086528276,0.7643134146357191,0.7662167641313599,0.8734313583238074,0.4935802638770921,0.4351256918179401,0.3984794717647672,0.4329083538877993,0.41618721731942154,0.4704746067117263,0.45540685793624824,0.7749483749126996,0.4565790433381638,0.5647577715679721,0.6748171651835501,0.4531339443743252,0.435551977065827,0.4277552673126508,0.4349540998525044,0.44619707900185335,0.41043767059546665,0.7490170011129288,1.5276431017112602,0.9339682073100729,1.0351596884424248,1.1853789461857627,0.6762445718798756,0.6030036796090381,0.4520886751826748,0.46962727694632467,0.5702147659105059,0.4356832604861313,0.4600406704429381,0.5112524347424073,0.45012702294128326,0.484497400517984,0.42827156636898867,0.4686714625499396,0.5160209394499485,0.5216158908684012,0.5487209772150234,0.5288417538241766,0.5665282996198031,0.6025551789864468,0.659463641110296,0.6575371674470522,0.7305655717391711,0.9677653313317247,0.8250033953064742,1.0216478882997693,0.9521768738610212,0.7495392620696915,0.6666336606090006,0.690722073705561,0.631856475284173,2.334355990654084,1.0301160834857501,1.4528617933381374,0.7041814397054345,0.7085063112654689,0.7527076823099441,0.833484186178801,0.6232339845435172,0.5209292874856185,0.8075856899051828,0.7229906150462355,0.7993338577127826,0.639589462288119,0.9758095929328545,0.602005781664351,0.6888440407989296,0.8235350905131035,0.4814170485617201,0.5635054004067692,0.6373328504764387,0.754479447916897,0.8225697029095631,0.9642219633240495,0.8485334060600982,0.7717454388325669,0.7519371019431155,0.976579023628245,0.8035863029296214,0.6468241961385022,0.7780574802113986,0.8454378935833105,0.6394017910241068,0.6877818663201531,0.8513696396384014,0.805455720690938,0.6793230430779896,0.691415280780088,0.6461391139181497,0.6354336373434811,0.6155503295847323,0.6202744956862543,0.6011890962773838,0.5530369174502512,0.5829735704276772,0.5375242109184737,0.5541493963552292,0.49684953483155114,0.5436910202910771,0.5623226232661936,0.5765120832002975,0.5428704400571784,0.5737039634349679,0.742782052235922,0.6995199820241915,0.7052899486146558,0.8044590373080758,1.097555629912476,0.9260288321696096,0.7574525760612264,0.694596212368763,0.6905004200248168,0.8846336867550381,0.7535886817563,0.7195641914512416,0.7168420429121655,0.5842108540670271,0.5010471530799486,0.4448233701861824,0.4049253030551359,0.44951741113162896,0.5087551750874958,0.7864380568410254,1.5825692920336565,0.5011780216352963,0.6621514574306108,0.9816325516100274,0.835875878489784,0.7101074357437284,0.9468864693808876,1.8192866549891349,3.6959807751397387,4.76665792758902,5.740373593414618],[0.5366712150467068,0.40778547064180704,0.4376900720055241,0.34320972392247157,0.33812440387214693,0.30715290413727625,0.15811697998723845,0.29450264635831447,0.22622272257351406,0.23986979557677837,0.2764820594005555,0.3810866951460966,0.2788614976243762,0.25929786566884117,0.36049889744039176,0.3098962985173711,0.3232276804484507,0.3231528612653165,0.357806569503924,0.3779759988358429,0.35464737472264096,0.46243959853801236,0.5374719644599003,0.5544944374628893,0.7801183986235185,0.41521172508431337,0.2791728145679414,0.2928124379239049,0.33807652198696875,0.3065844395556272,0.3480541469481344,0.37788763230916567,0.419535403572925,0.40599867380580507,0.35638329307631195,0.3176628897952707,0.34738515901952594,0.34123312218272234,0.29604089620927526,0.32183330379371855,0.2958492397015571,0.3509691291133951,0.3755305470749349,0.6284299389343182,0.7725812738095115,1.1531747604975657,1.2740691329114675,0.7087143734665449,0.8277754999460681,0.9821547577049524,1.01807780915416,2.236358356156724,1.7509875305703722,0.8037645884000487,1.2089180642365323,1.2404326529617318,0.8756685807822918,0.7604080094923674,1.2739410171680516,0.8140445296471546,0.6037648066258549,0.6992856064368942,0.435816416607263,0.536274473100047,0.40431203117343184,0.4055722338834543,0.5709564062595427,0.4270693186122931,0.574691857984289,0.5581806681598126,0.7985934308194025,1.0095713801828252,0.7134442662673429,0.5888462460070053,0.4783470935281479,0.9696143373032979,0.39057049797732535,0.3863240836055846,0.3527112142899131,0.41389217138614925,0.39008650327276506,1.993061885910632,2.1141708044583476,0.4658251292815446,0.4544617844403605,0.5116788918944931,0.35183439966371094,0.4283103924259638,0.32134836301717734,0.4554326389185445,0.40369679558877875,0.561318895766042,0.430161331836671,0.3817972428647065,0.3672428268779421,0.4141807782200815,0.47111684432434625,0.35792661495574163,0.3527760814356962,0.588049184784492,0.40939697874468994,0.461695078704634,0.36143451229043516,0.45238222211808016,0.49631902110338244,0.4798171895837769,0.6674563988393327,0.3655573726104399,0.4118904779439062,0.7235390733232829,0.33895218988345194,0.2525281739939142,0.2167100041222934,0.30198707438164246,0.2649431831923545,0.28953300823300915,0.3501300372182854,0.2889028344456013,0.3545785063632346,0.3814337515558026,0.33145764968939073,0.2990827246061232,0.2821094396147491,0.24928495329476438,0.25131740513972944,0.2543087809718835,0.3416332791036693,0.31296697757951525,0.25822726348723984,0.3636769986827525,0.33363042192840114,0.4155995248316062,0.336139359297291,0.47747065612296574,0.3902497340730225,0.45494654702160847,0.6892521730530902,0.36678238991782447,0.46005221494664195,0.32905249610307297,0.5749104061018173,0.4294558790191711,0.35820526764427585,0.3103726589204815,0.2758418380913238,0.30552421819469644,0.26723430901164485,0.3023612548063547,0.2559421944507092,0.29927024038717526,0.3813600496355315,0.3618981550288949,0.6644169453257592,1.2194377317182703,0.8727784190484219,0.4378511772374333,0.3299164522120748,0.38121896498781005,0.32509628503239174,0.4020984233012089,0.28601044026612527,0.29985225330207543,0.26760546522651124,0.2744561933389413,0.522935225139733,0.4191504676914681,0.4551862146419665,0.8313700836704496,0.7909317394650925,0.8869202031963538,0.46257353187391836,0.4055742873050267,0.3641481214632947,0.3733555790586053,0.3162049313455288,0.36336162021575047,0.3731148925189378,0.6813109762725391,0.35787654310162526,0.44696648187493443,0.6851075027445037,0.3677068490213222,0.36357873466851737,0.3767399169515849,0.3963626047641606,0.4110874066949775,0.39616523807327136,0.7831591891022273,1.5411637835789744,1.0012634075745575,1.0483618025630055,1.1564278410252307,0.6897368964151585,0.6003126225366614,0.4037463025625333,0.40633063329297,0.5246821984115806,0.34530458437233424,0.3663811900176255,0.46464290078302906,0.3465079493722596,0.37184557053502076,0.3302473684799596,0.34951924851941385,0.38406021780916894,0.40367058774707903,0.42054653506041134,0.4111347273562011,0.4632571973683076,0.49307751895272545,0.5374439806394831,0.5420371660038655,0.6185544244922672,0.7730687617879908,0.7005543312346718,0.9747159839860466,0.8502213756697139,0.6522047123626356,0.5571414756330795,0.5855628391872085,0.5248094584272509,2.182169691273004,0.9559406598630114,1.3470155819322718,0.6113973613700096,0.6087859823927914,0.6473185897749688,0.7136136010896778,0.5305224612411943,0.40936242464317407,0.7049479736076735,0.6503122264330172,0.729097864525729,0.5333518334268856,0.8877138126829627,0.565121180936251,0.6433043738437054,0.8309412947326388,0.4011886885545034,0.4784863622205782,0.5365874525799804,0.6347826861524839,0.7308734560645451,0.8440365900466317,0.7442689362109022,0.6645209169927309,0.6236100115508006,0.8544031246016159,0.6975258452199826,0.5327015553715182,0.6478613063768648,0.739291944839317,0.5359983236610454,0.5678908952986255,0.7566724836494353,0.7509089783002812,0.5919397409719848,0.59329778659975,0.5409657090707589,0.516291820764059,0.4927823955362493,0.5058914864254223,0.46796201529220316,0.42202688936144656,0.4691463917651381,0.41734648072066416,0.4422863120076703,0.39253990599415683,0.4465505726403439,0.5172288643040053,0.5053797730035786,0.4837128147541147,0.5145096883083822,0.7373200844164425,0.6645242453245144,0.6668113869212218,0.7945363592902338,1.0936032256195463,0.8509045505927909,0.6831471488066573,0.6100847572557523,0.5962117103055133,0.8625375055369721,0.6665559415289144,0.6495287166785029,0.6593924569104962,0.4926154778883897,0.41887199377373935,0.33986194727062824,0.3397079187941558,0.3601704963802561,0.4224595889510923,0.6722749070795565,1.4550019482795307,0.48694395532660195,0.5557410208615645,0.8889771974384484,0.9418206812253227,0.598134785042883,0.8170345206394486,1.500873521496186,3.353336755345274,4.264598723211366,5.164274297889459],[0.4839782257077648,0.37070834678202463,0.41521761413704955,0.3113658210784107,0.3217204952790917,0.26043676497642215,0.1509487603232417,0.23208112665426087,0.28853319453618803,0.2570972788346976,0.26246197864227117,0.37136282751439004,0.28462688044764245,0.26678334754188887,0.3226612341769179,0.3099097978175369,0.3256156929482461,0.32054774770587674,0.35971449601557093,0.3652568961356562,0.36009330664410366,0.46294191183843364,0.569601463679414,0.5694152577440029,0.8243477420947657,0.43616618555662245,0.2844975776711905,0.2740635915591318,0.32375578814741685,0.30281240077477645,0.34081662896618037,0.33801504123449894,0.3773600071515231,0.37826189780084885,0.3454167035737875,0.3198809201326929,0.3405952474676024,0.31992629391335614,0.2849204468545443,0.3094377009097269,0.30650864923489957,0.33853951816953815,0.34212648594230105,0.6575508466645743,0.8349553290240376,1.2032608749409615,1.372356488422022,0.7742607769033715,0.8864845378272606,1.04362105128373,1.074094747834819,2.1999336254740935,1.8061887130597225,0.7846014838257616,1.2597111420844371,1.192461008985282,0.8280708820908013,0.7502754901652517,1.2031645199496837,0.7772239936527342,0.6391043315725861,0.6726753491815644,0.4102819143493616,0.5013525108295879,0.40802787647109895,0.39913348090952644,0.5620391235497294,0.41188374257560956,0.6031775259934085,0.5569195809417694,0.7987405157056667,0.9605258525900163,0.6673372502621978,0.6289323021714253,0.4590969330504163,0.922056659362393,0.3665697727057679,0.35737209124283464,0.3296718051075535,0.39800797781248287,0.36182471690311363,2.0471367297140124,2.0661678624310773,0.4057357524144761,0.4348817255213251,0.4769259067778256,0.3269450572904189,0.428421291453195,0.31352352784797116,0.4177631084712572,0.3780034655252998,0.571672879730861,0.44563382373557914,0.3449465174349359,0.33791049232052145,0.39671389000405316,0.4365233205219364,0.367935258513771,0.34782188663883273,0.5200569483705909,0.37558631301625334,0.45395778902601785,0.33191374502874615,0.398737960471986,0.4533594692497053,0.4411482462272085,0.5855132609795246,0.37627928312671666,0.4125519663319651,0.6881828714017607,0.3279178025017575,0.2703689263344103,0.22349586573446836,0.3037691048049592,0.2588695534680972,0.2762907819045173,0.3394431634279974,0.2903800992722203,0.3314104500672007,0.3521742791670838,0.32745511251029713,0.3074181695477058,0.2800941279082374,0.23600795618222012,0.22958813483225876,0.2482268556381452,0.31938682237399657,0.31173685908966065,0.2536923795173315,0.36986432195671104,0.34328887465926566,0.3965511141139906,0.3443956358851434,0.48078606417359526,0.38938233420253565,0.48061096660710734,0.6771855993871687,0.3682491653874971,0.47261971319525065,0.3567090514306351,0.606333442919674,0.47986380490261504,0.362497192123835,0.32115678376517887,0.2793569870076356,0.28855512290793883,0.26175172538876423,0.29963857621162876,0.25071420718680903,0.2964164139245334,0.3779840217631711,0.35549472298427753,0.5715844716689422,1.1537010897896385,0.8874129861671021,0.39747814184606334,0.31487597643133336,0.33286811522648885,0.30450126840951214,0.3572787905355752,0.3011963000166338,0.2858413994521619,0.28977448041763826,0.2805700200417333,0.5069295992859816,0.45410725432803994,0.5211477912001806,0.9361579603908703,0.8518981548376492,0.9238666004687108,0.4798182479278471,0.4239414558569044,0.3839735717489741,0.37066869126818897,0.29635333275538095,0.3376267859140877,0.3543099760103519,0.5914363469291132,0.3269229004970304,0.3704793994892353,0.7265443389794567,0.34365752224090734,0.35642199257883256,0.3991692534396616,0.41176513127606507,0.43173282639837973,0.45334960369857524,0.856740534373457,1.598661992770759,1.0705679113040738,1.0862688437849575,1.1850591955042904,0.7440090154279673,0.6460554358377362,0.4373931805003362,0.4366398301837527,0.5312287076909156,0.358095591018797,0.38568680223088614,0.47632166709788837,0.34155871161139045,0.353526216523698,0.33265295788475496,0.34388561970550735,0.34677311818495193,0.37642737121179365,0.4072347682231225,0.38780784451964706,0.4251249788446583,0.46409786362765976,0.5033954088763011,0.49290687899037045,0.5604564420278638,0.6861755904004627,0.6939515838067941,0.9707283741069104,0.8405250063251164,0.6346025740074098,0.5213772626796552,0.5607540435085497,0.5092179213629187,2.030842794645234,0.9408918260053947,1.2626260884036011,0.5748005923665189,0.5500212711461379,0.5836435808526858,0.6629100443281255,0.5012809750789842,0.39825248899993243,0.6765028100038643,0.670282965058414,0.7109271465807041,0.5257871755092702,0.8842543323319908,0.6047789282773581,0.6292595840653226,0.8683616046414638,0.40892847852097686,0.47741712709402556,0.5001105542912191,0.5904852567136684,0.6974975418375964,0.7692058628649489,0.6926753967232172,0.6225833042808769,0.5731815994023903,0.7684640594049407,0.6385809087003553,0.46999473728855795,0.5699617610737574,0.6749699353320403,0.48564572593302574,0.4999371921933459,0.6921468860897121,0.7385468049600241,0.5294653793023116,0.5264421779336238,0.4957817130023775,0.4476204960152784,0.4255850586958354,0.44759227933120144,0.42249586842191345,0.3846930963626094,0.4182735836614581,0.3937500838044579,0.4239265030469917,0.37671603106779383,0.4203588031816024,0.5347899839123826,0.48351476403827814,0.4810332315853849,0.5367999261276721,0.7584315699184789,0.6988831458592647,0.6817940219701023,0.8736648228127901,1.1457856469698784,0.8301784882393229,0.6643169706787629,0.6013781568933204,0.5683880212285537,0.8739104801117039,0.6339037905005915,0.6226237632986867,0.6446901238933971,0.4907230538084054,0.41508170372523157,0.3326736428078075,0.3376322667119169,0.3314739810970795,0.40122776778989966,0.5677735192286456,1.311783096156519,0.5211091267106339,0.4903894322885383,0.7891417297625516,0.9568979007855762,0.5108054481014631,0.744471431790635,1.304243352961402,3.0892291459584027,3.9705504098518083,4.90882055429585],[0.4342991712349172,0.3277175993023328,0.3548639196036264,0.2551259343148468,0.3351864572750677,0.23512969415744123,0.2469558692214286,0.29472377000093314,0.3240450469115539,0.2799537267893647,0.2833695327871786,0.3916325984503272,0.3009000182571355,0.27954839286517713,0.3317650341417075,0.3176462243001983,0.3361654977119438,0.32656274366922666,0.37365983440948813,0.37817873577877054,0.38179055222456254,0.46879384395391543,0.6144959810679144,0.6401936838593963,0.9208219422089677,0.4988821842702596,0.313434577518252,0.29558785479536537,0.3325111110663652,0.31876656757560895,0.347408556291755,0.3498385350929807,0.388451866799037,0.3801309180513188,0.3612717163368507,0.33570735263215246,0.3706157352750431,0.34244278642477466,0.309798614734793,0.33749182455101956,0.3514849956742916,0.3557438803016442,0.365505031777176,0.6910676023221776,0.8831293180151417,1.2284693553777182,1.4823911226430049,0.8137546225451443,0.9114521471775018,1.1112065456748994,1.1543565059185623,2.082300277849456,1.7706505621051658,0.7370145050439185,1.3591169716507019,1.1647719618707089,0.7766180037990851,0.7509363439124156,1.1747627286533682,0.7857823549075716,0.6922012638641097,0.6981543037020059,0.4160778821423402,0.5126450037895028,0.4223504445969345,0.412602270737945,0.5758787090850482,0.41008121924446395,0.6067475885819253,0.562055360193981,0.7940260879380494,0.9661112318878365,0.6794402063875583,0.658664635822628,0.47568096028646784,0.9501416720359781,0.3795240483837262,0.3833241679889423,0.3542355123676253,0.4004784399220984,0.3994148521884716,2.078751885545036,2.052392172582108,0.4641899350833817,0.4689629865920524,0.5030081580635277,0.3753670731152377,0.46113531271305774,0.3296750650363367,0.41590131242529016,0.38048541710516964,0.6084956852447279,0.4655446588434698,0.362082074030706,0.35494688227562265,0.43031889830132714,0.4629733192366461,0.389261324031355,0.3652080800925265,0.5733029349616171,0.3932301606275732,0.46966685546190756,0.3583389077069488,0.4432639470349685,0.4948073645406698,0.48537707731087176,0.6622179079106303,0.4497248969780905,0.4810821792651251,0.7134026407553213,0.4078300592445521,0.3457143098303956,0.26127976632866984,0.32069771361095945,0.28080758349856794,0.2894056928103892,0.3505173447432918,0.31494143803294583,0.39105318524087146,0.35080191591279447,0.3636210193744383,0.3376133729320007,0.31938968119308203,0.25084496900211645,0.25626072698439184,0.3247478279593975,0.3249866730708942,0.3577162511547046,0.33648767010902814,0.42075481322511155,0.3958317027163251,0.4440825449986681,0.40585913306152765,0.48835555734727404,0.4395621830485819,0.5570254703118633,0.7548814319781849,0.4862726923664706,0.4907088959367523,0.40456698057961843,0.6179845907621577,0.5651635347816079,0.39489080110998453,0.3529262764358137,0.3241525122853152,0.31562805387967907,0.3021269346193769,0.33810746567268357,0.2816028546823066,0.3149277692027698,0.4075679193992845,0.38285840368461604,0.620808505615334,1.1721872425966227,0.8837468897035049,0.4337983945499149,0.33244855017559677,0.36974890300210794,0.3185026492947325,0.3897085887134132,0.33588875317877703,0.33095037309780173,0.32852052268178294,0.3197532353045259,0.5519521144429902,0.47767268473067914,0.6464603755433865,1.0929985262980757,0.9949961618006263,1.0346246452861312,0.5806926291973965,0.4850125936402039,0.44708632122740627,0.40027117291199943,0.3136956459940138,0.36357843192483214,0.37179945361806305,0.60283980114597,0.34951572182883817,0.39696553523046724,0.7507261231076882,0.3904230680970122,0.4026698413586075,0.462327647783757,0.4477130182894589,0.4716024770732161,0.5178340861886109,0.9290996723617558,1.6559571029296896,1.257066169126286,1.1532293487920364,1.0965424389462817,0.8463673847078447,0.738795703827669,0.5085398666992436,0.5024876892546069,0.5521794990718499,0.3803297567288159,0.4084667432000382,0.5038332915151356,0.3524921834825798,0.3705891847076201,0.35923843346644246,0.34189918045120044,0.336680091346723,0.3701705464482176,0.4126069509387308,0.36942230319002084,0.43755187071908275,0.44829449402767446,0.485920456253201,0.5050502306697113,0.5828237631828237,0.6570405177757902,0.7272069975653246,0.9238299663990249,0.8735598660572129,0.6161227250137279,0.48889590125724025,0.5388363938356034,0.5296572608958645,1.8830060780950535,0.9397697316985488,1.2666976522258335,0.5923187688675577,0.5362409646538164,0.6008111155773641,0.5961364542022329,0.5256630196696388,0.40209430263008866,0.6761766164549446,0.6666807410482429,0.7742359584567343,0.555451772005312,0.8118605925680168,0.6812177028672582,0.6471712126416886,0.8841304391140307,0.4390265618918681,0.4946536246134271,0.5015693674816656,0.5626680366460127,0.6531564684938935,0.7694796726729172,0.6857974349654625,0.5947819587223694,0.5701123146404083,0.7388619333692422,0.6477710894856913,0.5039522608230231,0.6321608493988631,0.7645927981352556,0.5553417708776578,0.5687774747316723,0.7798780646244471,0.8610090518891995,0.5901729944229706,0.5909487494088045,0.5217691984958055,0.4725903522012299,0.44554887117639314,0.4446953128162349,0.43865608142109747,0.3917607688505545,0.4103766967021596,0.4018475355921694,0.4411088517654698,0.37629330313799136,0.4299854042059261,0.5784964075386475,0.498677810352109,0.509226871662973,0.5465106861984803,0.7885434503409277,0.7068825788829761,0.681828834426717,0.8643590012128354,1.0873500216492626,0.8760492505899227,0.6768177147608758,0.5622170729741689,0.4950190488438942,0.8184834880110675,0.6603390576885477,0.6919283651167907,0.7182878652160533,0.5381839898261072,0.42871050155471035,0.35845956717523714,0.3718818988392576,0.3762985488308636,0.41491052771739034,0.5089923736109169,1.2243223581236369,0.5565790038038907,0.4507391281787054,0.682619916604277,0.9879419245862939,0.4200201280184784,0.7042216081307568,0.8431988648519102,2.4357756831762787,2.973708620337953,3.5333108222824166],[0.46871260060784337,0.4683973524542011,0.5377538895547769,0.35953990078273984,0.47917920926942165,0.316572849729482,0.20988149321586774,0.23439931320238758,0.3060440204999656,0.27189783277892965,0.2664997136681348,0.3672913631614028,0.29517063861715126,0.2707644295849848,0.3112872574978014,0.306988031898968,0.34952036758496347,0.3415400632279601,0.4113845152230635,0.40001571675479053,0.4368287814127123,0.5373208463792927,0.7128939162807948,0.7222977639450338,0.9809453011115226,0.5750246197292094,0.34067687650857337,0.29936174214743794,0.3087142015435431,0.3074343918929552,0.3547662017173875,0.31826654860771353,0.3708073247367655,0.3772771883856293,0.3448638104967591,0.34631736161667065,0.34538531013291557,0.3384344787716331,0.32082757490814867,0.3675137301086142,0.4133206665051196,0.37599990915220555,0.3894230607484545,0.7796236160561336,0.9890855753621165,1.316687157230284,1.6290032209263023,0.942980729096006,1.018832663378499,1.2229865256648493,1.2703443414725004,2.0602338440142867,1.9194438727172727,0.7869799228425259,1.4065854763835068,1.0837522819018273,0.7529178666435621,0.8100306856292365,1.0991087311687966,0.8105652906204848,0.7591427260637362,0.6987655629542225,0.4426576958153685,0.5755736320419653,0.495453694867244,0.44476269068195956,0.6139262525698006,0.4379369098169645,0.6464108452924555,0.6026524511478661,0.8044673377195422,0.9978866750002776,0.6817874362691617,0.7317490904824522,0.5104503313385705,0.9445112836739088,0.4042980706999318,0.3726139300937983,0.3637106686831692,0.4195704416245091,0.3896918774573396,2.0972890459100078,1.9420820503787637,0.5565406697160705,0.5012459248967256,0.4654161226704471,0.3531863066535409,0.44395615017165746,0.3501965733771391,0.42233763675475705,0.411112089349098,0.6566257473731181,0.5030417591037412,0.340510485575622,0.3394470908700631,0.42117985842273375,0.46680019389641636,0.384968902137475,0.3440724994404635,0.5042422855930161,0.3600639954368644,0.43252462299482264,0.3216958857880053,0.38654607238314265,0.45326919336108573,0.4451795391292743,0.5303320487104871,0.4988401795729171,0.5028337799007382,0.6897337602738092,0.4341006178984694,0.37020015948964635,0.27230433743485405,0.3125335306805246,0.25553089699664416,0.29365704968763656,0.3515056062176281,0.34124284142418226,0.4545823637819217,0.34646172686524535,0.40982925060012526,0.3743289233526829,0.35100528534870884,0.2595700746276612,0.25725479875335333,0.37810344696338744,0.3979521192685183,0.4022440563144657,0.3950223062856227,0.47908183127659343,0.5083836384455748,0.5063052795166733,0.5072249264656895,0.5191733465963101,0.5174210936604878,0.6745306150705317,0.758758265143594,0.5700901773534136,0.4602207084226213,0.4382579911968177,0.6466473587731202,0.6394049403117886,0.41433474385698316,0.3665453722454227,0.35710009666948395,0.3398773583942089,0.31883273848056687,0.32137003978245976,0.2743325417818572,0.29882366491284995,0.39026475725814236,0.34484435885985915,0.5432826085317145,1.121737726179824,0.8856674728054303,0.37804628790201056,0.30642493354153033,0.32170525195906075,0.3125473791189097,0.3504302900514212,0.35443813403494334,0.33454312064301345,0.37832564763154236,0.3746195648101186,0.5639888846439329,0.5613017829896136,0.7945322357618977,1.3072966062756977,1.150045306739538,1.0947434583293356,0.6366016235936102,0.5461605592611163,0.49228166372874366,0.44226028838000364,0.3393798114316187,0.3526729395384522,0.34666399385144026,0.505700966710627,0.34936557154996994,0.3659323467350225,0.8365984917541522,0.4057466217558249,0.44753170323270075,0.5223016301675708,0.5170370750521738,0.5581180648542813,0.6212211839351262,1.0478318551414287,1.7196340566000272,1.4053336648958867,1.2846812136286296,1.1822773969650102,1.0303443568439619,0.8945701282643534,0.6622048272024289,0.6646189610886764,0.6606216728160893,0.535170161665952,0.5385704280321666,0.6212538720981252,0.467827843060598,0.436468876751715,0.445071640586532,0.4415913539485109,0.4341551851814285,0.46709921180834724,0.5228632822917185,0.48777276649636886,0.5278628799020116,0.5681958014343604,0.6133572338184189,0.6298852460267049,0.6887943830087166,0.7633328767949199,0.8803827366848963,0.9977056481353322,0.9433056112779667,0.6540806051116047,0.5638828412778022,0.6117790032371502,0.6282244167422735,1.7090445987973995,0.9464159339142403,1.1908491253419866,0.6935684926174552,0.6352123582483924,0.6586992593649983,0.6743169692634305,0.646489171711101,0.5547478563851379,0.7046609131599433,0.7759631128363275,0.8130380748570004,0.62014960657486,0.8586873567576098,0.8437752247319886,0.759921891182855,0.9993299006719812,0.5490097634469944,0.6236731931323218,0.5933954551498066,0.5874669954707976,0.6685745551123323,0.6960790292781946,0.6629668997006412,0.5802752750249471,0.5535303452529828,0.68672130649363,0.6070803639392761,0.5245221988491323,0.6073871814534946,0.7330076554884788,0.5892400973072528,0.5981472959834163,0.7588644524295465,0.8890444772796494,0.6633359679042917,0.6585115389566791,0.609696528776481,0.5338578356992135,0.4996624497576189,0.5058292525138939,0.5282663277182047,0.49219397561073264,0.47955485238716045,0.49895531369988505,0.5293790682734757,0.48333447241892796,0.5372319346539185,0.7008695679261546,0.5694848591035753,0.6229119260803412,0.6671436408105992,0.8682436072589961,0.786184741739279,0.7248103945406857,1.0230293238987174,1.1757227205640675,0.8686370851433889,0.6950453920955851,0.6061872163506011,0.6014254308570011,0.8671406634462021,0.6119556174688281,0.650601842586821,0.7282493351063709,0.6241413530551966,0.5153772292102818,0.47326310021938334,0.44372848663461717,0.42133681682510127,0.46529516771437723,0.5332146035873276,1.130393688977391,0.6414222156020475,0.5192377882713307,0.6934804196018216,1.0090519842234933,0.4804374019792521,0.7836732015443316,0.8067491222946382,2.4065225362234646,2.990746828123239,3.675242604864707],[0.4876859546572219,0.47909732530178323,0.45512872629072526,0.3253212308800009,0.42878972688037287,0.3270209320613454,0.31097226844953174,0.33193068055807895,0.3936705704250007,0.3591596279011323,0.36808992318752576,0.4432624991483728,0.375893862157401,0.3697139578942526,0.40235066369610206,0.3820191470399868,0.391253688524179,0.3978916961798271,0.4588876551736428,0.4495884014206842,0.49005240179426834,0.5695529284000278,0.7572997416439478,0.757775826895094,1.016322569511621,0.6252403166681423,0.4023609427500213,0.3554858812745121,0.3591761918812551,0.37156043031912084,0.4141537135597604,0.3883592181564098,0.4592363398043618,0.44965666683114563,0.4079405272545099,0.39487223567396296,0.3812119802049937,0.40021918131767126,0.35725961211221363,0.38837671253973727,0.4367473945649668,0.4201524388294775,0.4280526295048053,0.7895997955954107,1.0115766419971648,1.3272601443731176,1.6447396396955203,0.9503115506365531,1.0114225505219487,1.2310717689950508,1.2750216257598161,2.0081275555956575,1.8788478003629718,0.7825694047570905,1.4258948769092306,1.0932327383876494,0.7592668781628773,0.8117624570360917,1.1058047176231658,0.8334038300169507,0.7992368149706435,0.7427305432272732,0.49191225101293923,0.626344599793197,0.541301657448276,0.49263006149567035,0.6796201912152848,0.4906411294029212,0.6707546596114596,0.6386231835530958,0.8353945786074523,1.0356795623414214,0.730374151838622,0.7511889086252737,0.5928716036717403,1.030928740292158,0.45993726740436647,0.4238559142453513,0.40924929788428255,0.46162488879305785,0.43173839984585455,2.078895651802291,1.9628412140822629,0.5353816060924438,0.5187902945724281,0.5052207846573289,0.40982796415483436,0.46270448960876026,0.3970544158074527,0.4723881885805955,0.45333300063534376,0.7134361817642619,0.5553737434817162,0.4399935217877253,0.4324497596238133,0.5203910455991766,0.5386216008980498,0.45588657304920677,0.4168293169346331,0.5872667344822439,0.43070530482644565,0.4776331574938128,0.3935599496090916,0.47390306787523334,0.5190216927260317,0.5268967132432408,0.6409343953853602,0.5385426922145521,0.558638955537006,0.7220170047318017,0.4973922688034746,0.39772430825445826,0.3190473982693525,0.35532826169371545,0.32377350782839337,0.3314039405958761,0.40410915126239516,0.3698595198566362,0.512899692560191,0.42460564128808215,0.4639034607049947,0.41941626822980943,0.3796717682375925,0.31351583726108534,0.3185907497939359,0.39139530776500464,0.439125827074849,0.4256793965906392,0.45060109471983967,0.49751800787222406,0.5303483994583466,0.540271259403832,0.5318077337011798,0.5364571396769108,0.5252383424489934,0.6722249598377246,0.7903803771017556,0.6015479429902713,0.47943636981994664,0.4397751810980139,0.6491120914161393,0.6666504664213686,0.44142532872330464,0.3841217538708684,0.38670537473798744,0.37031981695189203,0.3494300703958383,0.3572900806695342,0.33735018263482036,0.3686085107312688,0.43560994408154047,0.42069460006497056,0.6410883945095677,1.2441521060308756,0.9356580911968951,0.4634000318226218,0.3720461899406062,0.39909636716364527,0.370173078369928,0.42453917600890506,0.3713789088839669,0.3683686344726257,0.39447496536477816,0.3914259800290719,0.5741003270214121,0.5711961514872317,0.7994953838507731,1.3243920063208805,1.1803949193396241,1.1072413609500231,0.6448521958671761,0.5451632841958697,0.4982734884038756,0.4618980709357579,0.37095798258672186,0.3907991329996558,0.37895944156094585,0.5885055191110685,0.3817127763503808,0.43598707836996803,0.8195687454583611,0.4436022708058064,0.46919527210899376,0.5535805957705179,0.5450928142153793,0.5731334546199489,0.6168849095968592,1.0418672740836779,1.6926228007483815,1.4200269692469083,1.2919835179241328,1.1094123259000368,1.0346496083297947,0.8995374677860415,0.6721258675009758,0.7054239632231318,0.6764246869078534,0.5447847972812312,0.5525539698925682,0.6402756983885133,0.48509011477428426,0.4674754192443228,0.4819932707738404,0.4715541745854052,0.4466872687127235,0.48058077485527034,0.5049746440407814,0.4844962451289478,0.547214252287152,0.5654649360019751,0.6025789699089309,0.6484995785209381,0.7245437181220027,0.7696975984718115,0.8914285155440451,0.9286504828806852,1.0030465731348577,0.6585971281973413,0.5666690614123366,0.6334482760852935,0.6640946690072156,1.6788262247928982,0.9656793106121003,1.2195805291817523,0.6867356573291425,0.6418671483121207,0.6777118855513443,0.6444994787490831,0.6610550217030621,0.5308753384803291,0.725457309220605,0.7795971696843498,0.8588537792374731,0.6527750530822272,0.8490850393445947,0.8884137252674915,0.7791037012766633,0.9820154474393292,0.5653046460144531,0.6121229146093925,0.5869519641875317,0.5979204965178345,0.6921550956091725,0.7715774752876351,0.7027277326715344,0.6255303431301621,0.6180991313846544,0.7337339247729887,0.6831107515054697,0.5799401185509895,0.6816090638098076,0.8213805102576399,0.6417172415872616,0.6540415412120036,0.8530004287207688,0.9745701771515889,0.7074171977839598,0.7080542806270844,0.6320309673825257,0.5764250540873388,0.5378925349400645,0.5263439500798799,0.5497229960538896,0.5037813600778825,0.5058183511778528,0.5165343265696817,0.5464692144782665,0.49449384391651097,0.5434480327020007,0.7239867967688021,0.5904252132200323,0.6638016572645287,0.6759573061820888,0.9203318266038047,0.8160052752746019,0.7607070557599162,1.0087485892653774,1.1195937728385628,0.9317724551708115,0.7119774729126777,0.592427172750766,0.5440678280182807,0.7712990075105508,0.6775779199206758,0.7691808778851327,0.8365360056876575,0.6707688694282298,0.5524176729826326,0.5090090202544403,0.46782335833996463,0.48830936876203657,0.5155457352775312,0.5593550292050681,1.1692052086922087,0.6732271059233184,0.5324113497430589,0.7025861455091581,1.008706825939979,0.47376411205124164,0.7677289241119002,0.7082951921152992,2.111394530654716,2.5955057442368923,3.2267035002596827],[0.5073720760434807,0.4977293205898691,0.49054951732158003,0.32286500931653084,0.44872054940448625,0.367135947077134,0.26252387473831207,0.2934718276279851,0.37789027692323485,0.30344529735938464,0.33126108519513614,0.41844248430088005,0.3261894197574074,0.31561169977769415,0.37056732549284505,0.33099810555651,0.3496073948504782,0.3488249827067536,0.42848564744489365,0.41994983072000164,0.4795141114297429,0.5897350576122593,0.7794093770171588,0.8088041497834342,1.0331873768217021,0.6394814114362964,0.4046163326982399,0.33845466489385434,0.3185801701509849,0.3109501963178178,0.3783247965562941,0.336111969803586,0.41743609467690945,0.40491828647869,0.3388599189157467,0.34000376338506116,0.3454759524124454,0.3698714557926404,0.3602641730301925,0.42952927251533923,0.5122011664833803,0.44293794896075145,0.4795755585711549,0.8835462399856756,1.1368188666342312,1.4361994261062694,1.8193122820655776,1.0955982394935544,1.1165951908229288,1.3774937374014509,1.4112678259801514,1.9807709361173558,1.9809363975851417,0.8611095747356671,1.506302036310952,1.1112744204012397,0.8142199431743423,0.8588403290836618,1.102143410397812,0.8734201600853941,0.7902496585082172,0.6982221353955026,0.45093725392096695,0.6197558760297734,0.5232384498320748,0.4564326509752866,0.6564889650845002,0.4430824731368715,0.6628080462398668,0.6189396249742518,0.7909492933238123,1.0050271708958352,0.7035328783683404,0.7694934319274711,0.5308874357504451,1.0057220843949968,0.41609804583677445,0.3926878266832741,0.36286230105093825,0.41426648342856914,0.4047666643234512,2.1359409232474995,1.9670692526423692,0.6432991442956527,0.5471605313293489,0.4644767592190344,0.36791912006422994,0.4517818894795405,0.34353844739856243,0.4072916439237475,0.4237425591090512,0.6882840390635688,0.5585816167455453,0.42039226636185945,0.40839759941500303,0.5297655850426265,0.5510990273027838,0.45130064295523453,0.4068268626956613,0.6042249974226108,0.3951081449072077,0.45942518516131087,0.3272137254039893,0.4068077202819691,0.4908406299809187,0.48617733603911556,0.6023737084704244,0.5800466600763337,0.5675672604558661,0.708362559005702,0.48123816371791917,0.39272115565354443,0.26868310481935914,0.3233034125240626,0.27282149957753804,0.31812506978273913,0.3734603816925176,0.3940451343945696,0.4957059497160032,0.37150254319231774,0.412418462308638,0.36414667943055873,0.3650943492454018,0.2643568162907057,0.2641927273588187,0.38963494996705406,0.46229221669606574,0.4360584648413847,0.495364381698518,0.5426458683057642,0.6134822961283528,0.6114982143952752,0.6497865254749652,0.5835724801259514,0.6151286863549073,0.763821957423884,0.845680565312482,0.7111021442972857,0.5570780266831292,0.5322321722813824,0.7398138021770625,0.7904738683320242,0.4987873829262215,0.4447275212332411,0.43350390400672995,0.3669848025300758,0.3500382753278849,0.32848478577292806,0.2751735762506047,0.3092282072815026,0.40626810610089537,0.387115795305817,0.6254256319589745,1.2447772389827836,0.9608343741555585,0.45238781794459054,0.3386854562354794,0.3449628118006729,0.31321545713049914,0.3589037460281057,0.3804322442764102,0.3679895082080272,0.44662869508479736,0.44601150585735794,0.6705158497500467,0.6811694314310692,0.9557538987553593,1.5088059289093505,1.341422590877853,1.2162134028303235,0.7718219871177973,0.6464141500190561,0.5831563414932913,0.5091408605306781,0.3790777661867954,0.37634618574101525,0.3401801886467507,0.5206609931444612,0.37169427700793667,0.4029084381020109,0.8973783954166449,0.46635236775782624,0.5268975841293158,0.6267772328917628,0.6224429161455394,0.6763382270057986,0.7322143877645035,1.201499931297963,1.79636784366123,1.6367425816812804,1.4304723316010708,1.1243798538304457,1.206005990321348,1.0424542815175903,0.8133333455283357,0.8535383682916529,0.780831663838346,0.6478953850888952,0.6262329692820353,0.6814681024265314,0.5177613517383028,0.45681740346184635,0.48219963529911436,0.48011975983126787,0.45979504064777516,0.47218368303103875,0.5203361473976674,0.5241154840230511,0.5826288166417007,0.610084716170206,0.6625616963382516,0.734186628182613,0.8115085776575957,0.8671601757283729,0.9895168041780997,0.9467698294418737,1.068327389925426,0.6995596490665708,0.6049883168161909,0.670333481457125,0.7196488985160224,1.5095676736027108,0.9933546575204981,1.2429470568921863,0.7393252984722034,0.6451927717430026,0.6538710152803424,0.613007719815092,0.7244688195880726,0.5729336493708724,0.7083211693437412,0.8531668804107353,0.9476416626686467,0.7136479147381054,0.8627393907870339,1.0302798531410418,0.8850484677628325,1.081169362277901,0.6333454869550451,0.664495949417777,0.6156131651716852,0.5555507612640265,0.6214763892218778,0.6871315627183896,0.6296695469018088,0.5552089623114624,0.5626453597160757,0.6400454342647517,0.6110377759377406,0.5583528245814158,0.6744219403363242,0.8196839814881675,0.6606095939959256,0.6955216701234894,0.9082509333504444,1.059168453352003,0.7793459806375133,0.7819127194292778,0.6885550740970081,0.5995861818436647,0.5466953174484893,0.5362772441010198,0.5771811931355697,0.5259608618297525,0.5155442499834447,0.5679166869140433,0.5948402795493112,0.5344294395386754,0.630509006021388,0.8380811065978406,0.6773750440858183,0.7552708463568423,0.7896488919753227,0.9917264797390066,0.8838990518827418,0.7987446901459563,1.0348673370632566,1.1261074760437983,0.9717854405524953,0.7344783227630877,0.6097010003880667,0.5755122070199545,0.7301586208858151,0.6981448035306138,0.8398109569227957,0.8972683669317241,0.7118513700775746,0.6107619095227522,0.5624161371897368,0.4939318641463824,0.47690327336452926,0.49840763135284627,0.5502249731687343,1.1052415152048616,0.6739255225865869,0.5416415096220178,0.7250172556191661,1.0169596811331816,0.5329257106083652,0.8550250123907684,0.7578031734142605,1.9227809268825569,2.4060175320427195,3.082252734081474],[0.43321229694409963,0.4129609704024851,0.45782523837522626,0.36575483837314704,0.4852026370543825,0.44804951891648875,0.38583968927959666,0.3849837509889915,0.4320953147256268,0.3845374234794598,0.38943967868353757,0.47398082752346277,0.38483959716057176,0.380760266345742,0.4303665597859906,0.3825503267748833,0.42656696095538865,0.40274654066315685,0.4710990170344731,0.457597833919152,0.5476391646363575,0.6554722386754194,0.8099559899506231,0.8570663105290443,1.0320425746317472,0.6854965259250065,0.46941313078183505,0.4133040079106845,0.3735982276602816,0.37071575179530597,0.413229737314525,0.3891988728555196,0.4619447241147794,0.42037003874156587,0.39302721797509493,0.3894929133012525,0.40592073237019644,0.42168721664829123,0.42327668351391073,0.4708006192300538,0.5534085108203003,0.5171394729808925,0.5484819262467707,0.9219492303899195,1.1868135471262908,1.4704598433842648,1.863978217857981,1.1364604047061846,1.1378007013342757,1.3841123574184482,1.394690373019875,2.000584415260934,2.0329802401595813,0.8856656395348135,1.4705092267511364,1.0841466848139645,0.833718432132477,0.8616902393493795,1.0851159132289356,0.8750402676336025,0.8428917596751199,0.7227390565428485,0.5149479739590616,0.6945169733851171,0.5939479581378667,0.530058522856472,0.7180331538289215,0.47708287144653166,0.7013163280935608,0.6283467535964093,0.7741548524449523,1.0072564749609485,0.7339252975499074,0.7885050508298009,0.5958907982309716,1.1429192264645045,0.4720713778923731,0.4402166214330921,0.41074845959953377,0.45490680744893014,0.4310504056178958,2.1160428702423504,1.9767868903984551,0.628686979577516,0.6087314066615128,0.5030312822009325,0.42706390879886574,0.4907195800766357,0.37882705168227854,0.4303860572748144,0.42951566316102663,0.7256554448975305,0.5613581943597896,0.45978805102245723,0.444838439610196,0.5424726932007189,0.5728211578514734,0.4665005992342348,0.43535592027957615,0.6832971009208382,0.4541600717386739,0.5360551168833178,0.41429075449197417,0.50428113685479,0.5634316440913699,0.5538280349690876,0.6674013897021863,0.6031254055524196,0.6071939486989594,0.7313908096316863,0.5325986854215138,0.46086129324085107,0.3892136082401522,0.40309823805261275,0.37682976840491594,0.4069135090104974,0.44085413081016644,0.46221811782716615,0.5789646682381735,0.4540463839109074,0.48163455174485204,0.434991826006622,0.4561197453949477,0.3730210962054136,0.3729817820357129,0.45314528578113583,0.48441681759650995,0.4949237731122468,0.5396589084175833,0.5724228718488432,0.6412787816923052,0.6520710844699974,0.6626276829669202,0.6190610348092294,0.629815517018549,0.758776004404658,0.8471493530099473,0.7135010279597265,0.5895418991383273,0.5820096502669542,0.7921202462747571,0.8325114435062857,0.531140788188793,0.4959791777404936,0.48892745924711206,0.4322994263625209,0.4198484931690066,0.4269012241272975,0.38797722567417603,0.40363343221845505,0.4685749975200442,0.48457473521127853,0.7365520476257791,1.3841697206501398,1.04119678608033,0.49910600753108003,0.3958565917264685,0.44626418176341265,0.3915804432171137,0.45299350141912975,0.4438974975466995,0.431589759076117,0.49376459656388416,0.49119600020791404,0.6796460919621768,0.6999163169928379,0.9723567545588722,1.5535592188214697,1.3572379886666361,1.2074905152682394,0.7689077475158022,0.6577702651125031,0.6024899164604129,0.5390656313692237,0.44189508225014706,0.44762199648313056,0.42111192433899325,0.5597993389426229,0.44366311398586505,0.4698376423127307,0.8921228291143579,0.5131161944639187,0.5617188788093322,0.6463675251315238,0.6402879311487953,0.6989697885477667,0.7432776266728606,1.2018684950971361,1.7658640748688577,1.6389660588921737,1.4650289237733471,1.1360084454354762,1.2182896169479613,1.0473761331004907,0.8172412404034588,0.8644237161930596,0.7874698325487078,0.6650725191150237,0.6454425188102303,0.7104699959111783,0.5526005719541607,0.5172242469360658,0.5399016360451048,0.5203110777210133,0.4991432694478561,0.51657048568588,0.5361260671496205,0.5585337831890544,0.6326183233229077,0.6334106216635425,0.6677364498738328,0.7686038660349873,0.8591287020022015,0.8693792987288038,0.9872128752950282,0.8903707788957516,1.1460374496284458,0.7416738729335993,0.6516906745328428,0.7410223255160642,0.7960912695102591,1.518816800439313,1.0910344381802508,1.272605205962088,0.7421728302591074,0.6477600491472902,0.670416912203923,0.6371322474050608,0.7676731909423593,0.5964015755956559,0.7482133170839247,0.8779212459402571,0.9858824996368931,0.7468300692563975,0.8705268901576525,1.0680777181217471,0.8984751682852097,1.080981940671549,0.6646555745631281,0.6846989209160552,0.6429138609931785,0.5767900427682064,0.6529839114885915,0.7633306468798899,0.6977532305995104,0.6132540030022049,0.6235527666128092,0.7066755427797977,0.670327603225137,0.6084016784188743,0.7383688451678986,0.8630583971048422,0.6955707353093806,0.7507912697770985,0.9670552312466002,1.0755969712991509,0.8328742065681906,0.8523296066669946,0.7500279331184537,0.6699454313552866,0.6049799841244576,0.5909140813107234,0.6337572197358172,0.5714352823836146,0.5604941387111618,0.6128461332922988,0.6369742995590955,0.5642298719548126,0.6691898846289235,0.8707640696514773,0.7162954437253325,0.7902835958368937,0.830752819805522,1.0671754200661012,0.9404640214908432,0.86414521073797,1.0958217867101805,1.1300906010438045,1.0535104696962876,0.7786375776767873,0.6273035886707099,0.5640807812454928,0.6962321769700713,0.7676079613815251,0.9074051867065248,0.9228351196338316,0.742391134471341,0.6392828145798226,0.5925238226502814,0.5395773535534458,0.5539897486977396,0.5534383005025131,0.5860707424069836,1.1614596094008882,0.6875705564791468,0.5450742171035079,0.725709502880743,1.0131188674928104,0.48750919204653065,0.7107307506445177,0.8041837271703874,1.8474030968862247,2.461868643009653,3.2293801039565624],[0.46447795992952234,0.4462538547758917,0.5241756980366176,0.35597928980716087,0.4812864461327076,0.41896027111862744,0.33558299649484435,0.34106747416851485,0.36973221192533545,0.3089515354303446,0.31297435517533584,0.4007410695724222,0.3176618027535425,0.3136340661426837,0.3527131438029548,0.324938999591111,0.3712296844458803,0.371142246953397,0.44110105676381317,0.4302446906649923,0.50118840429294,0.6186574857307335,0.7906857921805044,0.827043444731895,1.060746190805936,0.6445097831616143,0.41827267253530503,0.35373084021287465,0.3297054965430228,0.3231134751004402,0.38015737541094274,0.3290487634591278,0.3933695347117756,0.35485300068127906,0.33862773348498254,0.3473030640250468,0.3749005039789052,0.40775815506258906,0.3873021718481901,0.47281493901357846,0.5252101625530211,0.4619146825564274,0.49545423583827003,0.9067045756707586,1.1503173485337617,1.4303972257255586,1.8441988818997357,1.130524106772449,1.1389582376089507,1.4086620538782233,1.4850674908325578,1.9287852268397494,1.9578696656686854,0.8710721181621435,1.5621580394402792,1.132325789908041,0.8027398317507909,0.882757985640409,1.1129062043319335,0.8916557146837859,0.8060624560966005,0.6982713778008217,0.44498248864599355,0.621577082040718,0.5603024246493952,0.47778632008991356,0.6566708635702024,0.44249692977560856,0.6583727525587761,0.6024731090631318,0.7808275036271982,0.9988911517114675,0.7012619152256927,0.7584859907317314,0.5542232249062029,1.0590779193771274,0.41698389642978106,0.38482900399012754,0.3784118499171487,0.43101436412779537,0.43156910348624355,2.1659029738387034,1.9844417774347292,0.705740466843923,0.5581504359061469,0.485716810037454,0.3995043273996067,0.48764724037476237,0.34499368736686803,0.3929631289029417,0.39200855903192583,0.6872011371373862,0.5218220300390708,0.39534743332180894,0.38588600113441573,0.48405677508107775,0.5134271505046547,0.4019410079504921,0.37630994952960284,0.5878526934742637,0.3909823133759086,0.4959922812078446,0.38368952543302093,0.47243878222375235,0.5598060851463966,0.5571210914046011,0.7235610527904928,0.6826934917500261,0.6548390133066414,0.7639052500415756,0.5669036398105469,0.45555813768485104,0.3339197024200468,0.37658607793306453,0.328218570440111,0.34075215594459435,0.40481408934309254,0.4005702603408758,0.5229384477474659,0.40854380442204075,0.45366402734091005,0.3936073645202398,0.4017119346920221,0.30891229673485726,0.307048887986327,0.43016635369767764,0.5683293181995448,0.5012936432373387,0.5935773252791149,0.6151037743014549,0.6786900020497041,0.693177226450033,0.7052889526023589,0.6316971154989959,0.652400364438961,0.7985994340552076,0.8747330382311627,0.7185736812671306,0.4906657182118222,0.49549367287816204,0.6469303957555758,0.7641436084271734,0.46560027165465917,0.43005265621303074,0.4464257642998499,0.39308928195564075,0.3843617059200353,0.38042106855024044,0.3514531653840467,0.3362472449580127,0.4227970822606101,0.4031298682494432,0.6528451592659307,1.2037964005178714,0.8905889380202678,0.4515273250439041,0.3325483136518038,0.39967686762975363,0.3395582231973922,0.4345688130256496,0.42914207307770563,0.41328553213488334,0.4717121819319629,0.4825419151016486,0.7053448203384529,0.676451129640429,0.9686872345461678,1.4990000808077446,1.3443352257041608,1.1854157308581659,0.7802808576669092,0.6522812576088165,0.60470871207958,0.5474210875926165,0.43091285089761844,0.4463070749152883,0.4177978283685634,0.57085055633548,0.4406354713702352,0.4953166553352871,0.9249478713916233,0.5299599638459056,0.5884302436365347,0.7090975889876727,0.6675923517175693,0.6936763547127058,0.7415642118109655,1.21693982396881,1.7935618159601932,1.6796737190002977,1.4686978236079573,1.133710260697829,1.2630700519198568,1.0904796052036918,0.8695643861575882,0.9245238068907233,0.83025451642967,0.7276890255733321,0.7241705138366936,0.7720617360642285,0.6553690042989511,0.5977244269033251,0.6148205370623963,0.6280044684596188,0.6189539191939983,0.6099986626534529,0.6415914834162968,0.667318149424512,0.7237134298807931,0.7262125738977072,0.7680729231052094,0.8681588330869313,0.9481852089333505,1.0182973138242182,1.1233292156058845,0.9516494488246534,1.2055614013348488,0.8012969377699355,0.7457005389974294,0.8254481258270542,0.8904297083897043,1.4606118526622272,1.162504330909804,1.2846125288541776,0.8584087137453048,0.7728093570564054,0.7794626980883621,0.7404481083287703,0.8797583252225596,0.7160223027241074,0.8305063183742992,0.9761316977742526,1.0656202241231725,0.8462979851683503,0.9430877947951872,1.2122084184229465,0.9927546138893641,1.129437460521518,0.7601539221726004,0.7654969804553154,0.7283881859022848,0.6707054192708147,0.6885890117145643,0.7711225370891966,0.6852471144611796,0.6606120585268481,0.6639202323614232,0.6784267950510596,0.6717812858543322,0.6728924819763542,0.7796413578880848,0.8917230566978056,0.7520296324570411,0.8163432285088561,0.9974141878700576,1.1242263587723134,0.9108490715139174,0.9243521608030221,0.8327268242005836,0.7524131985125794,0.6919596318086214,0.6869548015012695,0.7402672413501972,0.6859811535648107,0.6651624583098499,0.7267152805585793,0.7419486037523096,0.6841542189654437,0.7853662641597159,0.9505478544554877,0.807584161645936,0.9070716548476135,0.9455515127218467,1.131155431519353,1.015129670389921,0.9374167133129824,1.1457875113193003,1.156986775719386,1.0691841784695477,0.8209618151912143,0.7032194601866063,0.666964276225868,0.7267588537463626,0.8605583528022774,1.0024908698180244,1.022823759480676,0.8347777610004014,0.7251394979543583,0.6687220228204697,0.5753185336115415,0.6169457133482017,0.6018860067502252,0.6071918742567162,1.0317109177075525,0.7247024219261582,0.5849149062007596,0.6907277035259217,0.9459102678583661,0.5162929029302366,0.7972487843341012,0.8247307347737325,1.4944705146039485,2.263851988186739,3.250443297490245],[0.4162135075392136,0.39630070507063236,0.5150927846685156,0.34617551619114345,0.49249288766756383,0.4030557644815513,0.33127366890573956,0.33085141024850984,0.3733540070670246,0.32746599582129887,0.341111829706323,0.41794001398485275,0.34358910242544427,0.35178899596657404,0.4034000467641212,0.35316999126615806,0.4175835915758833,0.4213625577625699,0.49946507567763476,0.4994229021388526,0.5699904217519459,0.6572321678715362,0.847932581425053,0.8881299080390994,1.097184908254866,0.714816063376614,0.47621879082405355,0.40584556856186405,0.3693218395153724,0.3554694090989629,0.41583235971347743,0.3507820696917643,0.4350447899892433,0.4120242685518668,0.37252082409567777,0.3946613027618861,0.38660532787583873,0.4390448884022928,0.43086324098542617,0.5207784463444922,0.5740117763868466,0.4998021714504219,0.5522551291177147,0.9396094291344669,1.198803574179378,1.4663544772263948,1.9250120945734819,1.1976863464674499,1.192347977125394,1.4864101262013256,1.5298417438499474,1.925344550791525,2.0133059632853283,0.9280443011548223,1.5869386263409528,1.1238858375262228,0.8449595491539169,0.94151887699487,1.124547567587636,0.971067341381451,0.8775367953521982,0.753291970493226,0.5272512981198486,0.7203594548357343,0.6303275552717413,0.5532314660976432,0.7521071743207594,0.5175660907145496,0.7242359546015998,0.6669032966737121,0.8204222707160432,1.0476584571050818,0.7668795637325599,0.8419172690673296,0.6124017539515278,1.113831141811205,0.49284389698170294,0.4430672372018199,0.42610436827411846,0.4806772549372942,0.4664504539183864,2.123716841816421,1.932956824556907,0.7328708788997942,0.6130909828847885,0.5175695572132611,0.4377853009508778,0.5116627890266169,0.39340861943265487,0.42340679304129425,0.4298853997595035,0.7368465975509745,0.5774283592167709,0.4414818302850817,0.4231750986533266,0.5285126716650445,0.5570572990473612,0.4275484459223126,0.39204866869042443,0.6042425235135274,0.3970892948675127,0.4790448723101713,0.3821944163140084,0.47587985158784263,0.5627697618487544,0.5594889416956195,0.7178905647285674,0.6969290177472018,0.6583760371366478,0.7498008167052793,0.5547383897604383,0.4508406733465743,0.3372855353136232,0.38846248961018187,0.35108174969360584,0.3845351275931398,0.43414952132364676,0.45363278584649597,0.5731613942315568,0.456795125438887,0.49698534437470304,0.4361017615166649,0.43797019826351935,0.3510737331826654,0.33184062800354963,0.45974992974710244,0.5476808176407602,0.5078382446876247,0.5978541944217729,0.6250109085573164,0.7016193477925233,0.7091066240592763,0.7433976792378197,0.6585161288035236,0.684440309873388,0.8019316257038047,0.8852603931651619,0.758747400030044,0.5474699388936236,0.5610544851269755,0.7173439894463607,0.8462821089480111,0.5095456897947719,0.4800564118011944,0.4851805546798262,0.4395165419723305,0.4256315412994071,0.40054712809586945,0.35804409379563373,0.34312325394932924,0.4131946413305401,0.40053921371990064,0.651004231001215,1.2576098035382102,0.930714789548712,0.4461588895042213,0.332296409588063,0.3919893645258033,0.3450293197516053,0.4386867074667464,0.4473866625204012,0.43176064741140663,0.5072004094032428,0.5174769934948589,0.7419215452776955,0.7374983875693324,1.0478334693162348,1.6010142145713255,1.4218381813473122,1.2092078480511959,0.825732681090047,0.691821586685212,0.6394401759337074,0.5633099712123849,0.4559434719661159,0.447810008582092,0.4180546099059624,0.5614720228681748,0.45380543843016385,0.5037061360148275,0.944872614503332,0.5524930492791057,0.626077690431464,0.7465572789556506,0.7030589829137779,0.7515891864597619,0.7946359637156586,1.2857678007482665,1.8206882076359119,1.7647069482465303,1.571913041302155,1.2083831186455052,1.3446760331475867,1.1578459248366502,0.9359980984087033,0.9856928340221083,0.8696668306099461,0.7607065368254186,0.748823057847303,0.7719583210429423,0.6747275770487934,0.6161526346685685,0.625553934505789,0.6502013848145326,0.6479539436443845,0.6313658394627906,0.6570739768202262,0.7073257193681879,0.7806271177834613,0.769498616498694,0.8165653742329411,0.9461998221631289,1.0242922802297956,1.0828551762079826,1.188255215908182,0.964241272493634,1.2770008042708407,0.8719693474935492,0.8136157533201261,0.9037482388293508,0.9863304094012086,1.4624764691774756,1.2207896929318254,1.2729195133771378,0.8885171292422522,0.8064028748851677,0.8030321555403487,0.7735721635343694,0.9308865676185558,0.7519230804697797,0.8516648166744065,1.0106206746513762,1.0812552128175432,0.874227992340675,0.9781991511714444,1.2800270729625216,1.0319346820507647,1.1546472601948252,0.7925095726029319,0.7820339154254708,0.7494262419185826,0.6866102270665593,0.700795334439852,0.8073725027242841,0.7052096745470827,0.6778343479570625,0.7145598652226545,0.7173728815513887,0.7090187418136511,0.7150036207563795,0.8415596252698535,0.9530257829844998,0.8094402301367062,0.8910086315419397,1.081117694848067,1.1856756645334516,1.0019267909144902,1.0252582048767203,0.9235035311490287,0.8356244594000087,0.752704420635061,0.7543323112380753,0.8237093305636213,0.7467621278533174,0.7108774946429189,0.7935505504426608,0.8073306243964332,0.726622903372356,0.8475576134749844,1.0539481913124886,0.8638867971496585,0.9665964628862664,1.0256722975676726,1.1759501798036363,1.0677069740446736,0.9857810315934658,1.2225557192283718,1.1883722031413004,1.139804292797434,0.8682841043626356,0.730343169268846,0.6854314001334387,0.7281546513942758,0.8768595938044039,1.0316224365753826,1.0340040956189773,0.8587754645111987,0.7250491196718543,0.6845478710146369,0.5889504726900021,0.6215089239357519,0.5921788504724768,0.6116127664188328,1.0388719590475408,0.7039096067512701,0.590155692546447,0.6981943455493244,0.954939951095449,0.5066121945309737,0.7594764059011039,0.8995125488541235,1.5447697822425808,2.407129991833734,3.492270887591175],[0.3966900237579634,0.3667868413240126,0.5229084610317497,0.35561590029124324,0.49814438279712236,0.42858728630497334,0.3434489889488672,0.36228824321652575,0.3761682012002011,0.32229277626720154,0.3459908564529494,0.43218687896164754,0.3252018415400631,0.32718565330939536,0.37967772929397015,0.3409891268532805,0.3834120549822843,0.37947929835885813,0.4665606011276642,0.44013896714437617,0.5145611986600708,0.6223774735872837,0.7815197143040268,0.8310341916675212,1.0384314931864052,0.6480899828755815,0.41599232691173327,0.36239108982163415,0.34878861385820753,0.3307167853121213,0.39840949941985776,0.36811374277552245,0.4459606750414795,0.40149721913964903,0.3511109122328369,0.34005205930925836,0.36743854317556024,0.3906462761082444,0.3778016177170587,0.44287609672959344,0.503533662434307,0.4505881451818453,0.47663297627208323,0.8814593955658241,1.1313680507729695,1.4213180359551945,1.8421515169515341,1.1051657541087387,1.121796950015942,1.3916462010930097,1.4485299940001664,1.9401419972923355,1.9364458663966442,0.8451253194461744,1.5147725068139197,1.1129452956236985,0.789049646009066,0.8369735910380823,1.0976664183056977,0.8554337822554912,0.7974447983901644,0.687980345596687,0.4649408744012145,0.6580816838203598,0.5545539710088783,0.4819213493239449,0.6886054163171338,0.47696421312465287,0.7087988099968012,0.6308176107880251,0.8114876244042021,1.0242624606637207,0.7484303337329758,0.7929687689983617,0.5968980299975134,1.117135545157178,0.4392836713460747,0.40693989967160443,0.37088785855414513,0.41520240727899954,0.4039935862339893,2.1486817299062895,2.029839969614356,0.632072489729898,0.5445478021441609,0.4735443682340371,0.3804883705203923,0.4624708209252658,0.3331859468287322,0.3987405940560784,0.41106523098631154,0.7142321109949065,0.550489396296986,0.43552102794989445,0.42391125464182267,0.5226225462219307,0.552062158281575,0.4324184265528198,0.4127987262433493,0.6452300769549556,0.433569593728127,0.5149015779608512,0.3974735925387775,0.47883697036457684,0.5613513986228086,0.5538837637783319,0.7716751130103648,0.6786889588678436,0.6580532564148768,0.7664650140090508,0.560560112389075,0.441393381392559,0.33671907114900324,0.37663781639512184,0.321742374583227,0.3440219548232874,0.4004562794312265,0.40114557057526956,0.5368150097631655,0.42582665922939794,0.4557684193662834,0.3967663873253025,0.39896075758500116,0.31396694469602826,0.3200016742339656,0.4194463688399855,0.546679006882356,0.49337054534171976,0.5874613818523213,0.6034044217273313,0.6600428167868938,0.6866124663355098,0.6815497463038851,0.6223988903273704,0.631629744797082,0.7684639532193457,0.8588861835747204,0.7066700214689782,0.5052191329572594,0.49751425144861094,0.6724217951354468,0.7597972246053268,0.4688723718265967,0.4277551048178804,0.43540044066025696,0.3917877416965593,0.3821238463422003,0.3804373190183009,0.3505650558822683,0.3485084535492427,0.4261895844736336,0.41609957189652075,0.6930869438357647,1.2330009447603738,0.9163199894053925,0.4927221453534863,0.360063363147765,0.4243526036872343,0.3368179401988541,0.44011163487723776,0.41179348109278496,0.39993168689969344,0.45486733001898216,0.4569100238003524,0.6685949900816605,0.662364659170645,0.945297957045053,1.487230148940671,1.3243265337625727,1.1773646473798423,0.7688192880251785,0.6406401148183481,0.586406340531657,0.5391408437816344,0.4202638527809061,0.43749261920799054,0.40517482119784876,0.592234460835483,0.4292098246582474,0.48518607182585427,0.8895563924179379,0.5206191634505639,0.5676160272994258,0.685872823841296,0.6492625459526601,0.6697195828097308,0.7045207509218158,1.1903845154578114,1.7737820620456852,1.6571079953088985,1.4547598220600146,1.1176970846121466,1.222127936131848,1.0495715524498128,0.8368623805780389,0.9042836239468307,0.8091395144517689,0.7109521437581928,0.715312806479792,0.7460535084079531,0.6533771545294238,0.6240568127139893,0.6217821082463458,0.6521499345100609,0.6586334489776448,0.6519336339295914,0.6676067656321841,0.7095270403286366,0.8004942944328403,0.768528627892145,0.801915247044068,0.9470298549146451,1.0504661452470199,1.051983615753487,1.1296408039617731,0.8955312167548063,1.277078667811501,0.8731691311751121,0.8147092678486226,0.9016308711964797,1.0031194752091392,1.529515619558318,1.2850260316450575,1.32393100378075,0.8701159546772814,0.7931605668149091,0.8124304212924103,0.7598143610585119,0.9197063641251602,0.7285524940028978,0.8531296813869503,0.9703570134294421,1.0842594935810046,0.8578610277444068,0.8941722009426945,1.2391105884677613,0.9860998282215818,1.0953139876931826,0.7573851033516636,0.7371143272367114,0.7232491344827843,0.683527702800875,0.7131640329177764,0.8734654587409508,0.7392314659814443,0.706053234852779,0.7646428765776988,0.8031609699415367,0.780845726230971,0.7568847014848479,0.9091670797140593,1.018044410317465,0.8628379007782218,0.9508274384888833,1.152110012898657,1.237073056723245,1.0507441044677652,1.0858343978401626,0.9596190061441712,0.8802361459418409,0.7823897399397878,0.7699255299084359,0.8371545944180382,0.7552066690486968,0.7192758336830893,0.7832509343820256,0.7912147431161974,0.7141386953861668,0.8205124356146848,1.0125704798259016,0.8560807296931223,0.9322936592722603,0.9771684952594908,1.1828406655982413,1.0691943254456864,1.011921288143865,1.2089078686496295,1.211291870275912,1.2048182921972221,0.9075169866651726,0.7358377854786112,0.6627151516899851,0.8110046672793638,0.9654276008540374,1.109136154409998,1.0683946350985702,0.8786603133376435,0.7099900166075779,0.6615460782771732,0.5750021432833452,0.6392106838591558,0.6050289476114873,0.6422273192181378,1.0832414652901345,0.7152269957750651,0.6166921443886123,0.747235337042816,0.9881631635994431,0.5577309189030046,0.7623116826902465,1.0391209049151495,1.5755865577029302,2.5911509552305163,3.789248240288737],[0.33866346323000013,0.3238604551361692,0.4598931844916767,0.37588235047294916,0.5195845223538507,0.44515338724907594,0.43784839957228566,0.4397444802313107,0.48804791806879466,0.4701566770043175,0.48730910158441193,0.5399415810956465,0.47031887307594467,0.4944558636589198,0.5524096208007182,0.48241255582193826,0.5327242574082879,0.5270645730711803,0.5995255221558804,0.5758578700244087,0.6343165003646258,0.7289178960359068,0.8859829717657955,0.9207244833163409,1.0777288216685774,0.7627479156587036,0.5590655423453785,0.5029199807178831,0.5007028613177956,0.47406823116378444,0.5243272968636629,0.4751774312945575,0.5514423804438409,0.5227783302739496,0.467093845311846,0.4926483796391509,0.47648054868722506,0.5071861102621052,0.5061039035210836,0.5229292323434752,0.6100037533096336,0.5963828517978519,0.6153626103734358,0.9360423179583968,1.2066054750682766,1.4732688412453387,1.8869379928576073,1.147158872598222,1.1468759388020904,1.4026534058232312,1.4123084126364518,1.9664750196114487,2.0194267582561465,0.89182153478649,1.494849586679449,1.1038564596812201,0.8797961434833351,0.8919956298303787,1.1080081270297364,0.8892814499349847,0.8839058967968937,0.7644048709726377,0.6031738189750281,0.7729737663642989,0.6714813509230253,0.603867402138318,0.8203945807213786,0.6007346526279275,0.8153922878614708,0.7116330781311628,0.8372421001697041,1.0460058232259715,0.8123262351243653,0.8800823346715126,0.6989562499598525,1.2201046990690965,0.5779893144559909,0.5434707508107711,0.5110142330688162,0.543583163708522,0.5069660044897523,2.1254346882600514,2.0257162238110076,0.6542157307224117,0.6367638421386453,0.5721582849434563,0.5109752583114588,0.5292449950116395,0.4921845121368203,0.5195185027854229,0.530021072206841,0.7810091951048179,0.6459121844845426,0.5639901497008335,0.548112545392203,0.6456883363452406,0.666425519162273,0.570138379495597,0.5354471268569947,0.7403333582005976,0.5279667396260522,0.5828427274644434,0.46628994552890546,0.5512787649017049,0.6038650962169089,0.5855830257610959,0.7203140439034645,0.632378634164054,0.6264928183306852,0.7397600062316781,0.5492876941314488,0.48064842952939413,0.43128278944257814,0.4449309755861734,0.4664670821702661,0.47411581753979154,0.522584100420836,0.5501206263137116,0.6763199300415795,0.5651350224072296,0.5878526386211081,0.5338805455835859,0.5358452538859583,0.45421348172432363,0.437092125477997,0.4889372471207917,0.49769993846128097,0.5108892601974777,0.5561180479199919,0.5880280370031151,0.637448420868217,0.6549169942812437,0.6702374861622974,0.6254278036086834,0.6371049033293035,0.7575340410581334,0.8649332149474301,0.7271898368668469,0.6142546939607247,0.6177171831982633,0.8438419576880578,0.8949836504717954,0.6043179063796325,0.5530262511981017,0.5495506551737531,0.5066873132944203,0.489266386113673,0.49206820145413316,0.43257516346228203,0.4597135972544903,0.501468655743317,0.5222521860740936,0.786462461846444,1.430711858036397,1.0771756796862657,0.5676993193998664,0.45503634319821257,0.49949033148355965,0.4483838718512543,0.5003337287041525,0.48390037724278234,0.48056325288653706,0.5337002195059115,0.5327127918964559,0.7078007011108276,0.7232345519077021,0.997199766726858,1.5810253182180964,1.3715343263011994,1.2163888436071817,0.7902464362508851,0.6840617084356542,0.6227228890630332,0.5602254529025485,0.4785752770074992,0.4925443091244811,0.48233850405199324,0.6292553111820806,0.4876543418487243,0.5238219979978701,0.8865702731927224,0.5549579591817245,0.5916034038216262,0.6790633093797384,0.6667828837918408,0.7071815168235841,0.7525379100902899,1.22840226123007,1.7676942695573867,1.6890221108993693,1.521777422228714,1.1724985781143378,1.2463128108991304,1.068863255118726,0.8359561548906548,0.8805512271687969,0.7888963701499356,0.6650721291162511,0.6629588822910627,0.6955137764443293,0.5929595808285345,0.5625314312001092,0.5707090187987676,0.5864864062060028,0.581087035497768,0.5877755711311357,0.6029306310239134,0.6412855553622119,0.7385591212153478,0.707159531671424,0.7450928170889292,0.8806709474204188,0.9717171945962676,0.951006494244361,1.0654642135003314,0.8875002628350268,1.2444238812768773,0.8509286891037869,0.7593743908840817,0.8625008039186384,0.9493470786691108,1.5591231250416657,1.2445851626874949,1.3337554842143826,0.8113056051999953,0.7238060146104192,0.7444699394343837,0.6994654536988325,0.8488592694835746,0.6627495078026028,0.7945271749798642,0.9090221762157731,1.030280490873262,0.789813939189058,0.8570212634857519,1.1722596660938565,0.9430971792778213,1.0806089353141037,0.7018358566735772,0.6919415619755466,0.6637374946191521,0.6248209353852492,0.6703705667606816,0.8453261826221237,0.7192551059350283,0.6587700579555482,0.7124608084829074,0.8016925205579989,0.7412845465979221,0.6990806025481627,0.8542124191736474,0.9679800610205922,0.8042397453289388,0.8903084938978751,1.1114164936699131,1.1830222600055726,0.9838742818004864,1.0237124145434315,0.8996227282316502,0.8190519818172245,0.7162089397267359,0.7073452411207248,0.7775894353505376,0.6925653082626569,0.655779650090459,0.7199455550789756,0.7355883503386661,0.6461791721439187,0.7493855857426903,0.9569305036261471,0.7942106492550773,0.8660327612875178,0.9140726896231074,1.1448542547370486,1.0160382318607453,0.9542648962231653,1.1733412386119029,1.1795384052038285,1.1715753220740868,0.8754278274994117,0.6955173340327002,0.6126767661721922,0.75946051737792,0.8921724048630532,1.0352826674573306,1.013265081245077,0.8191986196692246,0.6571668432188486,0.6096335845702083,0.5613645147245355,0.6051507505356291,0.5599535076293541,0.5968653377367572,1.155615452069247,0.6677521971493159,0.564319404774417,0.7252509904796303,1.0124721950689308,0.4863436179946088,0.6605726978255582,0.8964994285433909,1.6950559341112226,2.53180597614631,3.5325752749864914],[0.3250332166632561,0.31669509604444307,0.47975169422759756,0.3282597222929742,0.4770117033713881,0.42888953313769773,0.36858202689894304,0.3797144035691888,0.4076040457283573,0.37309245682405723,0.3877057605550948,0.46729095865437464,0.36568517618651064,0.379032809380069,0.4147371853060429,0.36873394393097153,0.4234623940895081,0.42542395626994073,0.5048931825645927,0.45899473298899873,0.5377770571154256,0.641316015014811,0.7856390102314336,0.8282190836297494,1.0164594414675097,0.6513206058825249,0.43344463588176346,0.3999863507891492,0.3973869880910987,0.3798613133542526,0.4343167127765143,0.40769159800720206,0.4807929843536101,0.44906382655846827,0.40486986600887404,0.37977522088709076,0.40735971348535904,0.4168824389038689,0.3966123351598673,0.41885086603345484,0.5038643922443106,0.4850216106728656,0.48485088900478523,0.8579427394343803,1.1133895374523353,1.4104072222561495,1.7866716560297184,1.0484629058975672,1.0726516540822464,1.3222845416069313,1.3659925402074338,1.9796261750046298,1.8968016328444273,0.8087358573897072,1.4556898505667615,1.1165038189283276,0.8017167722401128,0.7987359182692438,1.09957708360852,0.8125729782429524,0.7794105455260288,0.6998903557759468,0.49042674109858675,0.6674093776091842,0.5567837257136945,0.4905351370995599,0.6973302781887688,0.5091297374760642,0.7250600260110264,0.6471872836035969,0.8281439917404161,1.0327983969205403,0.7762892827729885,0.7949891046714771,0.6243123588029734,1.1239715856838925,0.47268074166811014,0.4589298819892932,0.4174381781629276,0.4356447735534415,0.4300418725202255,2.1677400399655435,2.0841486828177955,0.5915199853611416,0.5335896547371544,0.48501737697952446,0.4097253440837353,0.4708454410232053,0.375222736015408,0.4535513975121841,0.4560992288553828,0.7393423518885861,0.58011195993552,0.47180354243960226,0.46239991717484896,0.5511185588631894,0.5794412361842278,0.468092083007947,0.44714866383582513,0.6700903963426346,0.4586092534002171,0.529312737572656,0.42356363465792607,0.4939218433505396,0.5667295272940405,0.553483235017229,0.7548227010013581,0.6233990533813615,0.6178189495601301,0.7518288183607781,0.5377254421179232,0.4364951935937278,0.3480354872185358,0.38254174900324167,0.3590093024420638,0.3795641093033445,0.44175172988056366,0.44253832015798655,0.5696196185535248,0.47909270136273324,0.5076274729249803,0.43719805556564784,0.4448644607785671,0.35643776942915106,0.34526777146903453,0.4101745496130759,0.5012139826475919,0.47270245659598475,0.5469596159344494,0.5631121031442707,0.6024168964357463,0.6383543753150179,0.6203209839717093,0.5914871179421897,0.5915737817254964,0.7325687295949427,0.8503152791916995,0.6720483205831298,0.5301876040210027,0.5064876518377323,0.6992818170564771,0.7358984342707405,0.5009180743791095,0.4551056034920109,0.45400356774775136,0.4145818460154429,0.40046305511297076,0.40571513686360144,0.3613604168378733,0.3754405578587523,0.43461937783407006,0.4376877202976937,0.7202703369046473,1.2642799114866794,0.9399721250555915,0.5150996905865977,0.3866339600392059,0.4442195138001803,0.3708031087306118,0.4491718729431988,0.40307944020216974,0.4070290656994718,0.4533718542625978,0.4485627873023912,0.6468174911444217,0.626077295702367,0.8767435805603219,1.412422057237505,1.255061258239125,1.1683680505258318,0.7311650114955798,0.6199171617760537,0.5648826355483688,0.5186405021445922,0.412806887930634,0.4446583676586994,0.41900107725292407,0.6203198957343377,0.4314662915032345,0.4891163648798294,0.8403632219146727,0.5038805036860641,0.5300355921370643,0.6376839770219244,0.6141733424188982,0.6235488114043808,0.6646258968427998,1.1213812654009796,1.73362484849389,1.5688243219342086,1.3585453584404505,1.0700440982408752,1.134282616273472,0.9811901227757416,0.7525730781974618,0.7955664178037175,0.7347590587688557,0.6274352860160106,0.6408502123952606,0.6876584868300949,0.5902712345303293,0.576209692703069,0.5771345938270491,0.5889628335605189,0.5882066684206313,0.6002519771116914,0.6074210040426182,0.632601458098535,0.7347979685494754,0.7044277467297041,0.7271222018149719,0.8468837966700614,0.9562979319048222,0.9269690555046437,1.005991631964666,0.8528821862230652,1.1801264567478325,0.8101148537684488,0.7271584778049962,0.8011698757688827,0.8816213511927323,1.5739634188369438,1.2011553803499444,1.3258388098859593,0.7872840689345759,0.711939202097976,0.7452784881032674,0.6892954610729203,0.8144155141956582,0.6455089725372405,0.8055595153645709,0.8678758499238681,1.0117026977931638,0.7814966450447353,0.8254900771798717,1.1010902657903103,0.9038516703824312,1.0438109070775758,0.6824881758243174,0.6661288163383374,0.6553593589602738,0.6348379897971657,0.6822663301591766,0.8589012050775697,0.7276285960333992,0.6766030304927003,0.7249051029683921,0.8057147081515093,0.7626920451275238,0.7107936316677482,0.8556102998645088,0.9721775055578427,0.8053132255393997,0.8750849946228131,1.0883354001669137,1.1717041329777185,0.9514231191590128,0.9764409227598492,0.8656661710077462,0.7959093827603093,0.716843749685273,0.6963442808274344,0.744435336635566,0.672675009717813,0.6461858749896694,0.6921057390050664,0.7084864863825036,0.6324351259036143,0.7233623246867139,0.9111927549254697,0.7771738955260911,0.8385615686023487,0.8644362655937524,1.0904949701266133,0.9837422709618879,0.9423808193062521,1.1181659309714096,1.150587974320567,1.170888115861473,0.887589352869338,0.6910648790183693,0.6115867277978498,0.8192483763497865,0.9328244211915605,1.0518921907282217,1.0202574995367653,0.8168722096692431,0.6565075861798804,0.5947747881941522,0.5387972711752185,0.6142839337758467,0.576455619062042,0.6148588770518925,1.1274499867732606,0.6898375997720455,0.5770496923835535,0.7246623654574488,0.9957722705358504,0.5099890950559841,0.6932476275843847,0.9225334936072316,1.584569031021673,2.4626948421772146,3.505463689101281],[0.3913034667312942,0.38357125710488715,0.5164008683063406,0.4740957926082762,0.5793880564658241,0.5250092514990394,0.4783911309470702,0.4444623370143542,0.42216584309323324,0.4052619369547087,0.39160927399963896,0.47491399045570654,0.40667901560941755,0.3973907144506283,0.42045979383711723,0.39699883272066433,0.4630832357718317,0.4460332890480884,0.5195584347070288,0.48345416555046633,0.5561598851173306,0.6822577681844616,0.7825926317622675,0.8268733301743377,0.9995990160176983,0.6604267483290507,0.48966189868041504,0.46721913149586924,0.4581822867411394,0.43391221877267,0.44368558432328525,0.45462830671070287,0.5073894153269902,0.4723603439529613,0.45188001849580456,0.4228299859022241,0.4746057055814157,0.4902467647787509,0.4849175947842635,0.5045083975318245,0.5843483487404114,0.55156135334055,0.5476742036071587,0.8809119981156275,1.0896058923607383,1.3981614822441573,1.7193778329574119,1.02327686542075,1.0684705031482595,1.2955121469216895,1.3294433740780882,2.030970280426041,1.9044747120761465,0.8403910559841608,1.4526475526431015,1.173813964512926,0.8622515829888556,0.8319297876619749,1.152326272946668,0.8471850170730841,0.7897070557523584,0.7298756791477536,0.5243542564071587,0.6658713927991599,0.5794365366794856,0.5248665093453602,0.6776187236653372,0.5183809564531836,0.7069193275571752,0.6315704247202504,0.813810997102757,1.0134352906395245,0.7580950963891625,0.7694516464039117,0.6188711035933829,1.1024481492360694,0.48896909793673193,0.4873979085336942,0.4609046942855192,0.4866958790137851,0.5015919014050674,2.1984721639282254,2.1307540072982816,0.6296741683678023,0.636774247576898,0.5655989121527586,0.49484929555971136,0.5351339576969377,0.4266622471709805,0.49405373507192296,0.4695472996606737,0.7339533053683909,0.569855494019747,0.46586008969988313,0.4599630751227586,0.5349805222320121,0.5585130470379633,0.4730378686461381,0.4553671805907002,0.6848969973360887,0.49958485004715975,0.5612590900808359,0.49661743086033483,0.5657536334492197,0.6578806978509375,0.6450692019977908,0.8137635986241846,0.69626475982751,0.6970815852771421,0.8016202770051905,0.6138868355403065,0.5513147208167379,0.4764667914005602,0.5030688445888661,0.4436332775697859,0.4599309891327921,0.49964822167649,0.5052269016727786,0.5910773138609239,0.5062648221199,0.5183485224273955,0.4642339979398287,0.4769124011245686,0.43362483577730976,0.4457771448854858,0.5328031674247393,0.5623307347269696,0.5940642916504162,0.649701753266861,0.6663740468345363,0.716037407820482,0.765501965793251,0.7339776283064146,0.6981479079798595,0.707257042685861,0.8176488181970386,0.9029375504889355,0.7477197102434346,0.653289547131463,0.5986634792499712,0.7824021187478516,0.7695878362107567,0.5692736038309961,0.5412091544391462,0.5470836553266387,0.5006733537423487,0.49522021842995606,0.49803514378500385,0.4716368195663367,0.46188918434057785,0.5129000638394723,0.4834817870097851,0.7455220309251256,1.2925260879249227,0.9628016015181139,0.5373167897662993,0.43140866893720453,0.5088169006699947,0.4430523145353061,0.5497236139090775,0.5293758593500439,0.5087567000723239,0.5551106748472091,0.5537764130062656,0.736003254462756,0.7010379272269277,0.8877134725631113,1.36335128332247,1.2230107651606812,1.182113484098014,0.7755906010347362,0.6966880524537266,0.6641619884431387,0.6290306111538606,0.5322844953151157,0.5498788543113313,0.49230055821077123,0.6852655019597652,0.519734494107532,0.5897550535015933,0.8634450060496951,0.6104052772263578,0.6296356153779202,0.7052439470094881,0.7171345199142978,0.7165735141950078,0.7267400732492055,1.1174987606854891,1.6926686443220638,1.523108079719634,1.3594550978742421,1.0408430465304193,1.1130784301910563,0.9952230172971235,0.8045658041722539,0.8657028642058534,0.8173831517520438,0.7281529518578413,0.7293413324741356,0.7845733410566639,0.6578902404004529,0.6405600723720445,0.6555974545866097,0.6572583514842749,0.6131335575378765,0.6240716813477445,0.6564195076564964,0.6307062110451982,0.6689071923872802,0.6587224921478279,0.6731628148838706,0.739467216650762,0.8306712371697983,0.8029291664809765,0.8983068050643118,0.8944027478640183,1.0754454453436617,0.8048819949231499,0.7138204204405287,0.7521980726860373,0.8163415801934024,1.6639954576628226,1.1848708908324532,1.4415377307816415,0.7873826942312128,0.6903035501401262,0.72187052619701,0.7039059331862129,0.7583194799411942,0.6555388535497585,0.837125174708379,0.9374931684080129,1.1020029649286665,0.849183958701211,0.8823878907686661,1.0351862094643387,0.9021155266189684,1.0651247735423544,0.7420540467736734,0.7485236520980981,0.7459469862261453,0.7115019724728505,0.7688795870576565,0.8831069297467239,0.7739174472707785,0.7403803082660346,0.7104776079326377,0.8155072520169306,0.7672528530426971,0.6879136789295711,0.791338688111693,0.9049304297427537,0.7370494961281896,0.7855121342509709,0.9758616613725752,1.053926463571926,0.8335968493509957,0.8557840787105809,0.7550834213070811,0.7060972241416087,0.6688649695606328,0.6495821696303233,0.6774919005841332,0.6353811164909615,0.6543137733509441,0.6782658220855401,0.7056073697893023,0.6667828032516563,0.7347513056372488,0.8948640106778614,0.8044090744382206,0.8312634975485248,0.8657566588642562,1.0771260693805655,0.9870669690338715,0.9487455726941517,1.0807922547586886,1.1436071756280624,1.1335388630138141,0.8930645006622319,0.744954631144169,0.6539435845626768,0.8904130625827508,0.9564850278987611,1.0443090101251344,1.0412756738133226,0.8378938864615401,0.7676792325301999,0.6855260025698678,0.6552587466791244,0.6879113052305305,0.6570973578648854,0.6530463398533803,1.1657657616841868,0.7281971208037478,0.5912134562991713,0.7192283695972719,1.0233012791719294,0.49080685412351494,0.6586813401850894,0.777786772450836,1.7045900777002363,2.3601736035381116,3.1408557212682764],[0.5169108010277901,0.5067836492709102,0.6158315777116207,0.4981455335306565,0.6179925225229733,0.5607187025768343,0.5436745312617135,0.5428130036103282,0.5489867126614796,0.5397524682835453,0.5348856674179042,0.5930365432865589,0.5349530559732724,0.5518290772741442,0.5534075654885781,0.5611522422068768,0.598828133252736,0.5997575453237567,0.6478254502423384,0.6497218143054659,0.6988589983513496,0.8068568810054356,0.9123579845018842,0.9566476453633576,1.1405047285722527,0.7880138363008249,0.6574627805568304,0.6252740290391164,0.609451704374456,0.5910116858958873,0.6008744773991345,0.5914599733345659,0.6106319688660425,0.60799595696058,0.6182189547918172,0.5965844544393436,0.6365886010258048,0.6328034110588869,0.6511099971428242,0.6878032856075497,0.7221138340003281,0.68814881792618,0.6778429994937043,0.9939876574678749,1.1457677563139728,1.433477034193818,1.7797862072070267,1.1258342744290042,1.1928398258746584,1.448731196659641,1.5397739962558599,2.0211811143640888,1.9316929196395103,1.000134531422101,1.7054407799832432,1.400128804181216,0.9968857111578349,1.0197011489078074,1.3195004601851064,1.0293211050607265,0.8504788065447315,0.8743422748824927,0.644818799135861,0.7015813775061254,0.701854730135696,0.6726330660310395,0.7201860219013626,0.6299155806294647,0.7673351875479243,0.7209047526513113,0.8894796357806847,1.0581145379985561,0.8129942582547491,0.8295740797908865,0.6856928767593806,1.0634492002466958,0.6260892505941065,0.6468611765163481,0.641239256027979,0.6581983780281235,0.6898603403011151,2.3705170017935204,2.2326784625197416,0.8848700614816819,0.7257683998317483,0.707610180535823,0.6606377480850385,0.7070935567975619,0.616160820394917,0.6526983241155483,0.6150637212968743,0.8027204655835524,0.6676366383636873,0.5805379235739437,0.5763879023048869,0.6398258716466503,0.6386928929238653,0.5885318643719235,0.5750148876042849,0.7127416603627786,0.6068247190088557,0.6919259145491365,0.6180837021298801,0.6219822601753466,0.7138650707995031,0.7009637009691679,0.8502815442999111,0.7813302967280813,0.7504375584046198,0.870573141340722,0.707275239236685,0.652298708902269,0.5662335390183845,0.6127954759403371,0.5857524112509735,0.5980575393063629,0.655280925806638,0.6722044127964895,0.7000105915380153,0.6262663566535746,0.633687040068966,0.6126473265573464,0.6091991480579205,0.5791191229400958,0.5729442148437098,0.6398610508087293,0.7550169772479857,0.6786472762758948,0.731862779134063,0.7449033017806994,0.7309594080523438,0.7425034212899395,0.7662601526463143,0.7531421054470769,0.7874087231961635,0.9401367358193397,0.9996824894750211,0.8680790698559085,0.7805932533892799,0.7382080803575752,0.8781181173003509,0.9112156630373093,0.7475532685851929,0.6944574110486565,0.6849446261222784,0.6460382700023107,0.6431757336124637,0.6160453249352699,0.5917310274813188,0.5575674822269568,0.6090311347028565,0.57277269330736,0.7536050145830231,1.1338123077145124,0.9090127014479153,0.6407670318316245,0.5686526736804788,0.5945749146323943,0.5902816277955402,0.6257093196664155,0.6631061268662505,0.6419640207380753,0.6959672476824064,0.6864999496791517,0.8800635475870324,0.8344309948230132,0.9927873836629466,1.41764397902213,1.2994435554586279,1.2753189707984902,0.8894296080307091,0.8117628905778252,0.7899279604199516,0.7532629451825326,0.6543245568776901,0.6832967025708973,0.643717269756648,0.7911632957362763,0.6667002497682442,0.6923038476386941,1.0130373729668336,0.6994911505939431,0.7107111680024275,0.804489545574851,0.7619581493501877,0.7929694655976228,0.8868816066201224,1.2319327663217012,1.8897751188735388,1.6575379762774802,1.3870906593148238,1.103169346894252,1.1749351936816816,1.0399361953807036,0.8393139914679354,0.8528910219654127,0.8022650755266645,0.708810542878899,0.6827587027686712,0.7633570012897911,0.6257593099012586,0.6453566498295084,0.664487538169052,0.6312457156664621,0.6329488422553708,0.6601701277639725,0.6591054493071897,0.6462174590589755,0.7513317102139353,0.7614011549457639,0.7650840425731925,0.8611933807580664,0.9701322833325424,0.9952542784976356,1.0485104475159417,0.9596716490049344,1.124665536330095,0.7513156335969524,0.6976946522888909,0.7550527898948,0.8116287333527695,1.5990410801812387,1.1219875827417036,1.324218457108695,0.7856148788609709,0.7203643105048078,0.764457335763559,0.7008246791589966,0.7781452505417545,0.6419802470778647,0.7945703404689395,0.8831323657380119,1.0134435358649048,0.7854085008053174,0.8589922355153716,1.0613134933941701,0.8787927890102107,1.0720994277809712,0.6895685845225625,0.715633077799121,0.7037332221617207,0.6909652874032093,0.7493294169665135,0.8844006710672616,0.785598665188271,0.7387111899097389,0.7404704647382512,0.7813081549420596,0.7961645557047281,0.7357205238265472,0.8359762474658577,0.9330056069222772,0.806210872668173,0.857730708960581,1.0180943668269948,1.1389985965886544,0.9279800544726964,0.9422525125752628,0.8472571397707671,0.7789915705051884,0.724232053121575,0.68430748118628,0.7232346212746676,0.6625935296006836,0.6452662856414574,0.6669791946036538,0.6906244680432682,0.62972339790829,0.7031981928065745,0.8641460957501383,0.743182615628034,0.7965113004959518,0.8064536554509344,1.0260318998527374,0.9165029122432516,0.8756592911191485,1.0071079981974518,1.098020969417915,1.0429000296041568,0.7987393936874347,0.6785262148490836,0.642037296094906,0.7880759349091541,0.8919392071555229,0.9758599237146294,1.0002296008389595,0.802345491312832,0.7258793945340124,0.6809579928566188,0.6729390872154438,0.696606276286966,0.6957278572354686,0.7035296558983384,1.1266067737446908,0.8381978662886731,0.6965242636313747,0.7944522152734299,1.0376210750953316,0.6713706885179138,0.9198910980907334,0.8723376820121186,1.4391015464383456,2.1390139105053536,3.048838564987296],[0.3075934476632669,0.2872789480505556,0.47044835738975943,0.33806622154906923,0.49874807393172105,0.4193883345618349,0.3824728271505596,0.38597270206523154,0.36973531736386833,0.3428837362690502,0.35105673284748684,0.43822930600610893,0.3438222632158201,0.3542799030091759,0.39144018348734444,0.3590973704368672,0.38226912719039935,0.3882977090034262,0.4450157164752796,0.4443591325099882,0.4683089254645575,0.5752650224590418,0.6902945130049966,0.7046669711576412,0.9751779385408541,0.5626623997254007,0.4020651066202786,0.38446540829989895,0.3928015555311372,0.38628203889521756,0.3839078561790611,0.3880483299701556,0.4264029516972998,0.3987943585271661,0.3939565493919571,0.3704957120349878,0.41498361167420517,0.40140690531001627,0.4028798802951195,0.4271338973730863,0.46847828550322257,0.465968400730544,0.45335192485870485,0.7972655865934548,0.9571970906794457,1.272277734501575,1.540384177791531,0.9060979893061344,0.984424081334897,1.2136281356069638,1.2927233152494573,2.049701277197186,1.760624667402235,0.7809023834734619,1.4421285185248889,1.2116467151728854,0.8137069796953038,0.774985038031896,1.1889551152929234,0.8268575778962395,0.7143011502278747,0.6990003941029848,0.42804055552554243,0.5394671596573555,0.4826023633876512,0.44376706057651827,0.6141763994361084,0.43729462921467394,0.633831911632448,0.5900405539286756,0.8082996441807435,0.9953848714931746,0.7234775926236765,0.7006317239537972,0.5326441889341402,1.035420220496678,0.41008233302298214,0.4304905541094514,0.40275322543810405,0.44319809178189284,0.4292986943536121,2.1692293881327136,2.141992605463765,0.5719259904193765,0.5308977788500325,0.5357016666725173,0.42204687225326426,0.47530190727517135,0.3711348723887259,0.44344342969088413,0.3978341632139139,0.6433342612649339,0.48725110137402106,0.40927233483541586,0.4061859490411503,0.49093863593904497,0.5075341614110948,0.4329188583341867,0.4175234053566261,0.6501827687657173,0.4585145450190306,0.5563974956000125,0.4379244141802783,0.5310074355519366,0.6239937820919924,0.6081768317701871,0.8370275945349125,0.6605155211669397,0.6719230004487012,0.7857218910873432,0.591420566890098,0.48699997840712395,0.3734538364716219,0.3984980309922876,0.3634463308062105,0.37128035480566085,0.42937847518063255,0.39606318346263114,0.4894305636454205,0.45852161893659626,0.46156841554355404,0.43395792400539995,0.4396410077400859,0.36663082013960435,0.34683818817443807,0.42529507704320385,0.5363931563871356,0.501229852281733,0.5691942113391306,0.5770363756064295,0.5915551454517296,0.6553648040789007,0.6042312653483419,0.6022362564171533,0.5861983241956304,0.7139355029747304,0.8504203207687148,0.6093775959980625,0.5109441290395834,0.45469241260554805,0.6037841467729935,0.6160847373696668,0.454864685762915,0.4214559089789886,0.42892927635037753,0.40556667010082237,0.38671493705451243,0.4116393175348617,0.39386513874537704,0.3767783578530067,0.44673015894386714,0.4362255212312185,0.7114896099880018,1.1337740503475229,0.8530270521906265,0.5047412747847242,0.39074347321523534,0.44468441558887956,0.3980543443088227,0.48525155965322464,0.43402663936546304,0.42221947440326685,0.44431420989099896,0.43211432689458545,0.6407213520264625,0.5888224224913037,0.756386965610184,1.1741203627342238,1.0876417449301714,1.0954845428624012,0.6768954749345057,0.5965484752186281,0.5523520909984587,0.5332719835706015,0.441276929556672,0.48284194470170444,0.44795704128229685,0.6840008745778711,0.4588094032381826,0.5463527420261636,0.7929025926152083,0.5275717118289311,0.5308108754418224,0.6227138565388108,0.5979560271316565,0.598227916727509,0.604464425574708,0.985797986743236,1.6996623141630054,1.3872143399209635,1.2059193614221546,1.0288752652126152,0.955565860993375,0.8680317152882174,0.6766881156256092,0.7154479870406759,0.7151708576022,0.6008092574022637,0.6056273996784108,0.6747194292683549,0.5944058554807441,0.6109945708028625,0.6104460234737219,0.5922958000575798,0.5771931538518055,0.6038553463106985,0.6119439160313396,0.5725655335252108,0.64188440604425,0.6254804185702736,0.6154999593306475,0.6570968677362998,0.7532036766273416,0.7083704062765263,0.7836695692551312,0.8877641068554382,0.9670408561065866,0.6983199453550768,0.6182266986185319,0.6633039214238865,0.6933647910020999,1.7518193138456932,1.072586941049689,1.3852990749307907,0.712317506050254,0.654244507873846,0.7312082544092693,0.6996626490383469,0.6972677102282501,0.597314040274275,0.8122853587200866,0.8176335780305207,0.9857776174204846,0.7532618961154601,0.8391158325247602,0.8853235284626668,0.7901667188422018,0.9446824762573938,0.637052711023064,0.6575397228464969,0.680692526117306,0.701435530697542,0.7517872262785074,0.8956940242442251,0.7761552101977893,0.7357840639323693,0.7176096259685089,0.8274491833564734,0.7724612691578121,0.6906670764672498,0.7948034210279448,0.896820228709265,0.7322456699526577,0.7581308682406014,0.9333225977646649,1.0091306979807042,0.7699017595958875,0.7759874829969087,0.6930882087837742,0.6687723254665946,0.6512362610634991,0.625219172497952,0.6184916466174961,0.5844937993261401,0.6037651609486522,0.6041452891955315,0.6303995012105372,0.5890425756051809,0.6438375795138002,0.7762959170569718,0.6997809081815743,0.7029322122478856,0.7243708382631864,0.9204304377825081,0.834555896577135,0.8210752949207311,0.9160601296462709,1.0369221860405942,1.0262070975013473,0.7848765685181387,0.656370001136379,0.5969077365226828,0.8524768313518704,0.884606854057409,0.9067419187001728,0.9312554952638108,0.7580984754818932,0.647784844375766,0.5880203304584692,0.5684154148703133,0.658190333467339,0.6281047918441035,0.640301641232636,1.1304937634230183,0.7120502155963327,0.5790439031181659,0.6924801627632396,0.9667930921423668,0.4829316858218294,0.6734502695980992,0.6713344420492633,1.5135318119627341,2.121085986068814,2.78203064814061],[0.36349364229420505,0.2028826190903582,0.3155531001987152,0.2396049002419997,0.3197170003734195,0.3741983045401108,0.347720286284355,0.3751717787229543,0.3547957424350775,0.34010756195989483,0.35709661355289735,0.4425617025468872,0.33554544018250626,0.35078100315246513,0.39994742340178835,0.37421492837332754,0.391476066872625,0.3964141446246438,0.4512380931644492,0.4250113115597054,0.4492922005671062,0.5424272421498495,0.6448471024375745,0.663659840141311,0.8852416451977171,0.5068539088869126,0.3582934043042058,0.361666844502104,0.3743734569412775,0.36784317846432096,0.37634901781757574,0.3940420605749211,0.4480594195744689,0.42585394839652285,0.39822179834986887,0.35769506339280677,0.3916664165225636,0.37878345014532416,0.3649104187216068,0.383228810631891,0.39579687074366393,0.39758656225288996,0.38551091851713004,0.7407412264907981,0.907792531987797,1.2629992130831353,1.4888471527807678,0.8591164143630714,0.9604581202242882,1.171394258670051,1.2580222035450208,2.141866460063808,1.7261889582147858,0.7666379342521294,1.347057589159001,1.245132386383101,0.8140699001229771,0.7543802713572487,1.243406486127131,0.8399148174868071,0.6564536576850865,0.7070927544463903,0.4277509615666362,0.5351028816836688,0.45640808285863993,0.4320350559236119,0.5998457236497263,0.45004035908708334,0.6325504258167236,0.6187965232717075,0.8264232707376897,1.0452372030916788,0.7619046874531287,0.6875767453663866,0.53851337126965,1.0020297156300164,0.40921944948476374,0.42988017137919327,0.39422776986435215,0.4138864589389922,0.4336347512277596,2.148970213611855,2.1646139163417626,0.5007943138052899,0.480734006332801,0.5174077613680257,0.39693130678362626,0.4728888233998287,0.3532164633624861,0.4764410514878989,0.4060316961129009,0.6127014953071359,0.4907082098498238,0.4224819225823471,0.41600990662568554,0.4931703651502504,0.5023738713166563,0.4383486396570207,0.42456438038951577,0.6441515590640413,0.4559047036633592,0.5340652359725596,0.41952074329449845,0.49523726175891536,0.5675627492363002,0.5360870556886076,0.7947563109032094,0.5615371395510604,0.5890885886084177,0.7511237570220347,0.5046346116460095,0.397790933880107,0.31993894280902546,0.3609337604567287,0.33940314173935315,0.3788619436792898,0.4143634869041079,0.39295532505177344,0.4601949234179395,0.44166118452333825,0.4487284056947135,0.42119826611226036,0.43726154955848723,0.3694921633319558,0.35387888502513876,0.39121965289848376,0.4670104895822946,0.400371195327337,0.43719193649313165,0.45985457604483193,0.4358310439319158,0.502590486536337,0.45398310620046894,0.49981906724792946,0.4873060620349898,0.6312800447634864,0.8276563638846588,0.5587808528021935,0.4959761895365162,0.4066790549962852,0.5764841503493936,0.5698342106805251,0.42957157913813476,0.40153348287887564,0.3795154417701481,0.377861762282645,0.3571861842149249,0.3793440043385082,0.33191348025057305,0.3537822683027273,0.40583048661889165,0.41173796948107605,0.7013137270809194,1.1038402666132008,0.8106281794666018,0.4879195161854502,0.3688134347422462,0.4243032303032331,0.36505267406433844,0.4356731279405419,0.3666326856399151,0.3695406603217602,0.3776285768449678,0.3639117473447128,0.5913029749656221,0.5600710538379468,0.6708007108065529,1.0699425346760754,1.0335999666629483,1.076831076375993,0.647501370971779,0.5618868650111695,0.4844672467278846,0.46223123643459385,0.3764553352144667,0.4277310946455282,0.4021412533577959,0.6745820024441217,0.3952057566557074,0.48724178781192895,0.7598178119200752,0.44671820327661277,0.42619755241959056,0.498734220373575,0.48608326597151796,0.5102601314891467,0.5381376625521979,0.9341870324846927,1.6899378503277827,1.2671574242257133,1.0818322063735228,1.006819019062326,0.8208912098733946,0.7382677206082913,0.5258620492605104,0.5193461430907292,0.5770620183284405,0.4169654821098897,0.4168425169168282,0.4903085041378732,0.4192379352894049,0.47252933966568544,0.4382024428355174,0.3988952516432712,0.42207972772692365,0.45574759924280445,0.4329139399241172,0.3892084199258721,0.5171676762352481,0.4526167692453893,0.46965658659607407,0.5154289562503426,0.6135259113522934,0.6459605356220078,0.6628055397366389,0.8530553689943136,0.8839829559088849,0.598872813515386,0.4842169497723901,0.5456484048025195,0.5438344758674656,1.9613673724738188,0.9832571066163261,1.3251216906458791,0.588467531402042,0.5585373146170012,0.669502231637223,0.6408717248912396,0.5834171364957497,0.4675306336203578,0.7511844167348947,0.6641296990339194,0.8455586640121426,0.6202120989755829,0.7908903859525369,0.7077883634366825,0.6739472545852015,0.8205194120719941,0.4599986625701914,0.5086835999567405,0.5402178417832171,0.6235115118643624,0.6764288765764794,0.8714828953368008,0.748297516971552,0.6725873670943434,0.6697624871674884,0.8143485276957225,0.7431950898716289,0.6158077022847755,0.7516849691084657,0.868663223450405,0.6513327301108248,0.6757161027737786,0.8906866002011607,0.9376919486490253,0.6644755570858892,0.6699240034237428,0.5888742181256865,0.5728640472486402,0.5541369415998191,0.5269362916554532,0.5022386577638153,0.4495767055774199,0.4830009514315413,0.45073884482643717,0.47609187844347334,0.4148418868620326,0.47618049087645725,0.571276527436847,0.5282105956750646,0.5369271320648413,0.5496524496185257,0.7684461500800586,0.6850500822524938,0.6854205188967845,0.7702874970414635,0.9612502913115137,0.9269111451850737,0.7063958029655496,0.5517927213293472,0.5014319919149742,0.815718284527522,0.7649883955196041,0.7576023535451195,0.7648466494839395,0.5905218499893501,0.4640736569864096,0.40976047745951205,0.4198001786538087,0.4668849412441815,0.5048906234790721,0.5875762652590442,1.1989510859503436,0.6042910873194344,0.49346697293345043,0.6842621719882207,0.9533635376310727,0.39565175183141366,0.6302417280419736,0.596860908639,1.6803303763262614,2.1577980122236746,2.5612908537136247],[0.4944751302633061,0.27163871839908027,0.3638696991479209,0.22747079970666984,0.32913520108363037,0.34626414430320823,0.30307643621694547,0.4025213591300807,0.33365934620845766,0.30660106434025525,0.3578940125575253,0.44728814351496365,0.32994107130774575,0.30956277242522795,0.39674212493110844,0.3703551870293598,0.37974441802091125,0.3664981037622754,0.42884712970606587,0.4105674899035415,0.423374186424161,0.5160590617492427,0.6101122086032085,0.6265189505701383,0.8422794698086083,0.47683125363114526,0.31793926392825494,0.32122434380380244,0.365348533452084,0.3754528560749598,0.4009434771554371,0.4429558760781066,0.5016579089008595,0.45659416463886315,0.4215938527734109,0.3660934127229631,0.41704189482265996,0.3798636533390503,0.3489768734748376,0.3512028822782476,0.36257074908565856,0.3949270603865173,0.38942880554041015,0.7029400917060977,0.8697124365523998,1.2359541967385927,1.4521993765138907,0.8104551389768525,0.9259703293680837,1.115187102057264,1.1756984586906396,2.153713947091168,1.760168635440303,0.7805678803710896,1.3044457242372445,1.2438871676289753,0.8413042291953037,0.7661544027101073,1.2625418463899807,0.8281138801789876,0.6648387937085118,0.715789509241686,0.4583999688076285,0.582982763460384,0.44534380061571627,0.44527275955104745,0.6101244585070921,0.4671726966471713,0.6496362739494984,0.6074750982716701,0.842706076329191,1.0548837706630556,0.767080857201385,0.7018141666831039,0.5508876765698622,1.0863742509184084,0.43427418416107216,0.44702650137429006,0.4008766083264486,0.42301084224643204,0.4464151370292159,2.0546045018750227,2.134927126356919,0.4860021831479457,0.4803471891458216,0.546390508160874,0.40699957947843873,0.48899816759837517,0.3551447258753066,0.47056728060094205,0.45202488778205735,0.6496172128114784,0.5183545750745935,0.472773521469967,0.45251824909345373,0.5163125907871428,0.5313638439619481,0.46793416011691996,0.468307437722914,0.7177163206926009,0.499035993036898,0.5722441176510957,0.450447704408912,0.5217955525029735,0.5834588904996391,0.5572491787518234,0.8210664262486397,0.552216345831512,0.588186851135956,0.7862227766222354,0.5021334702486121,0.3869504080300304,0.3172121032494589,0.3560621750082129,0.3082022937471156,0.3179537076068041,0.36316700835811705,0.3438125306383329,0.437208127047164,0.4184464233382417,0.4037374936992129,0.3624290050734233,0.35746702834798344,0.3050934735913603,0.308949265327692,0.3498711412779367,0.41860902977304665,0.3856505997783513,0.40737059314863655,0.4553778058252449,0.4254201602543197,0.5056933779201649,0.44005687585428016,0.5049418644167921,0.45990729566287253,0.5782582055643044,0.7955023161921373,0.49674950772212656,0.4756844329142003,0.385756989736061,0.6122277071746065,0.5510595022147572,0.39534948224613486,0.3685484241992414,0.345941784291697,0.3542114095267362,0.32176924839074167,0.37338301044221756,0.3241254274913037,0.3589529583036353,0.4261520370181931,0.43948035799807544,0.7610871918065933,1.212999997281253,0.8812113866227529,0.5339569595057816,0.4093846703974193,0.4691735170194204,0.3733852683695807,0.4518128056795134,0.35380874068966667,0.3684160982795622,0.3481790276479123,0.32814050085904223,0.5720564993415415,0.4950524648056843,0.6300885475935486,1.0588448868732832,1.0038181295785455,1.0452493295749024,0.5973197954063798,0.5019276021811044,0.45016358958229324,0.4381076884121603,0.3689010911955401,0.43798572095911814,0.4139669468193162,0.7085205862391555,0.401824581800526,0.5104186767496484,0.734222899793357,0.44283267881431937,0.4197100803869852,0.47249160881332064,0.45927365958200406,0.4605650916492902,0.4825958895822104,0.8983640738407451,1.659742153715592,1.2151038667782559,1.101741112858003,1.0487219275311488,0.8103120103622471,0.7235166624635522,0.5143864668018557,0.5081992964969004,0.5671636486572486,0.42266707835981965,0.42772447830346344,0.49291395106978875,0.43399496834424023,0.5017011067609282,0.4456043030569584,0.4113615136847455,0.45171605875236276,0.47775717444197713,0.44982064060522053,0.419875372913955,0.5582871955527964,0.4683110612572209,0.4999466551645595,0.533666863704539,0.5995929453401714,0.6887294342663536,0.6979888216084611,0.8517074169538514,0.9236602034712544,0.6915753280730377,0.5388505049657781,0.6092080809554885,0.5977115837994076,2.007887156955202,1.0313691897223882,1.345926283417663,0.6196743528236751,0.6180880580000061,0.7374737916520966,0.7075696049566612,0.6294550229493056,0.503101205568171,0.7876870876883774,0.6779113121373095,0.8616989481060205,0.6406015064400753,0.809206584213598,0.7309942437013165,0.7014978475457854,0.8270706406309879,0.4785794494578814,0.5318919397592934,0.5725824178824126,0.6685348036850318,0.7418049198213988,0.9648545704592504,0.8212405811583788,0.7411371624444419,0.7636554745579349,0.9325680568508317,0.8381901869512925,0.6887416812855264,0.8520056134913812,0.9725506554990264,0.7175902487277632,0.7546385105682631,0.9844200133633473,0.9891091087043844,0.7132374302419614,0.74070358935837,0.6465644554664375,0.6441996256883044,0.6152343698779392,0.5844869658986803,0.5627271163993703,0.49626749428094635,0.5260097190079839,0.49553340610752405,0.5143662761751927,0.44413763238566656,0.5110397538227673,0.6029845646903309,0.5672249197952185,0.5692809044350401,0.5746509514644347,0.8140337099762419,0.7286670142934696,0.7328683916673041,0.8312175519048797,0.9929376143728567,1.0427480999171017,0.8029042848077173,0.6161971832916796,0.5612031351494725,0.8846662355440894,0.8338087446944898,0.832491231803383,0.8057218374568227,0.6142197817027532,0.45786192123606345,0.41476235788248456,0.40790370379732144,0.45582339085537577,0.5087335232958792,0.6296073466512209,1.3340195381571014,0.5825926036780629,0.5121954418506305,0.7632007185969657,1.022793323895972,0.3999981773601005,0.5941503267330032,0.6455304521766264,1.919913869776728,2.3877241103348297,2.8745192142969067],[0.42040943176068724,0.25290097889115765,0.5137497500558974,0.27369255893408545,0.4201225894475674,0.4894170030595623,0.5047511144419058,0.6460686933617493,0.534250925798528,0.5150630535265632,0.5658162577709267,0.6539155519628117,0.5639968463597982,0.5017957867140493,0.6075961223032523,0.6147335871970983,0.5580376008070482,0.574764544703143,0.5966102227325283,0.6084277184435141,0.600716989788723,0.6857528008612864,0.7086064155655681,0.7045784996823566,0.8470871357862225,0.584141894082111,0.5291146712609716,0.5417590915525873,0.584876230180213,0.6094591012757651,0.6094826940027723,0.6788006705077358,0.7277812083671438,0.699860959760007,0.6523910042113246,0.6074963547557224,0.6555340212923505,0.6237678380916527,0.5920907926251431,0.6115859706625479,0.5733566776636573,0.6100067645957743,0.5797712553257667,0.8356782721287599,0.9303167681692992,1.285897954649656,1.441790971836028,0.9212629131757823,1.035930579648628,1.210079088195321,1.3051201568382609,2.2856348659857795,1.8028386207461906,0.9974796938109584,1.4223488536221542,1.5046666606076422,1.0426062999137127,0.955140915197879,1.5133043513263111,1.0833147263933203,0.7141315412742153,0.864603669351277,0.6849318803432561,0.7181935957741398,0.5972806507583492,0.62113646377498,0.7651145452740249,0.6632241505983494,0.7662414636422795,0.7528942405983876,0.9396811128433226,1.1523960446752561,0.8925317232390291,0.7915626673065789,0.7024366538157296,1.161820062144134,0.6362917880068497,0.6696891487816276,0.6380311221301692,0.6523032586868164,0.6937540181376434,2.133527317018494,2.2856222029767572,0.705339737704723,0.6684022854064791,0.7363872451820306,0.6490898880110709,0.6895554751221701,0.591407609466311,0.6967258264869998,0.6728676298614849,0.7535954219893135,0.6949181725706944,0.6910555458673949,0.6508858905972182,0.7021121626383741,0.718888638094076,0.6648562785210217,0.6810462583302042,0.8742396206188341,0.7004856621654567,0.7408108493911245,0.6944988941856207,0.7133702838663237,0.7791124645192555,0.7597962755294443,1.0523311086455176,0.759661538423112,0.7830831483530076,0.9257222632374897,0.6950878890902282,0.6203779101245706,0.557866679010793,0.5432872165934662,0.527385669050013,0.5152535809339717,0.542520773751293,0.4852636278594236,0.5294632095881976,0.5855725780143471,0.5210579789052887,0.49192770089975024,0.4898587969118904,0.472474134888948,0.4768701276321431,0.5243163287706968,0.6070794396273347,0.556107871838101,0.6084636155250218,0.6450575802880285,0.5720785500809233,0.6135236217580532,0.5836211144016983,0.7019634090258945,0.6269022581171069,0.7348670116819109,0.9162935315009912,0.6225162933928976,0.574956143672767,0.5198653615147596,0.6435622028333128,0.612486961324199,0.5650508975894399,0.5609344096297458,0.5439296900678465,0.5748462046229607,0.5441665718078278,0.5964610173141726,0.573532040928833,0.6017940987055711,0.6478634275997442,0.6854643371293404,0.8960715124123979,1.1398257433532848,0.9190117899555169,0.7305265726279566,0.645166660762642,0.6943016714570024,0.617022668158432,0.6841640008481823,0.5667719760966955,0.5930555191745007,0.553642913031392,0.5528563907127882,0.7166181070608504,0.6487820949964774,0.7171315786445542,1.0151285959976184,1.0226694785847714,1.0837777383015923,0.725154144049238,0.6618839736096372,0.6001008042421861,0.6398459235494757,0.6111495698738543,0.654642323682323,0.6390273160547939,0.9552928353044662,0.6325151687050512,0.7194685784085917,0.857170026253529,0.6608258500760892,0.6113816169216963,0.6340279571153759,0.6166573522812735,0.6352718168323465,0.6388408203624192,0.975274304990956,1.672988136863979,1.182273314781363,1.0608296700357505,1.0887742193305927,0.8195479617133371,0.7704222233329276,0.6375969463047498,0.6328263088522363,0.7107240965623554,0.5707142071904473,0.5434955977470805,0.5674112534127084,0.5707176566632214,0.659683256428899,0.5895852012753335,0.510424763534683,0.571247977221057,0.5817804151510491,0.5138497904126932,0.48858837557681944,0.6094838461891866,0.49718882172378076,0.5983177705547803,0.5955828370331845,0.5930897873125647,0.9394693078850553,0.8612975717831528,0.9696850433538123,1.0108049883598027,0.7927767958462442,0.6210672683626262,0.6907314879914387,0.667451970474378,2.236720079090155,1.0772475001216755,1.425594169331623,0.7178870398102459,0.7815339729909057,0.910952117924758,0.8713917627923937,0.7670735876316909,0.6170937008510425,0.8786969360806632,0.7024645882840996,0.8757584665361545,0.6825368952409923,0.9117246178234552,0.754783697335022,0.7782661157948667,0.8409154760691411,0.5808545756609104,0.7122908706906309,0.7320909444672172,0.7866365719430076,0.9009203368623465,1.1636404605383195,1.022093620159039,0.9328300944956663,0.9559479142336956,1.1497883948153564,1.0485905921936731,0.8593168099472795,1.0155709567497908,1.1303507758418792,0.8219757216473897,0.8508061080893039,1.0629122814252134,0.9751263597263092,0.7245757594506719,0.7680575966271923,0.684824103303578,0.7270695798798897,0.7419654622717773,0.7063381393313677,0.6410638967571608,0.570632204689163,0.637074095030717,0.5688066963890622,0.56824350790137,0.5232170751549264,0.5864676549287563,0.6299513301045337,0.6133551216401227,0.6147399887864267,0.6497809258494454,0.8341777922619217,0.738022476045409,0.7589522549100826,0.8367644551050505,1.0073649194608036,1.0913465537782254,0.8964870966770138,0.6967321691775972,0.7055844375344026,0.9683632027850021,0.8708981229109566,0.8367596433838395,0.789877084250574,0.6368366260591991,0.490133888385098,0.5595698721102033,0.5358854886526971,0.5364389657141988,0.6502157306373297,0.7834250110502032,1.4630835711482477,0.6963476670686769,0.5761532017522348,0.855658966051265,1.1678107219997023,0.47087714170757605,0.5733202523791265,0.62618921691001,1.6025601138804897,2.0987231297125826,2.6671744984162196],[0.8044683665523952,0.6590364417416157,0.7736702041468068,0.5163034486131255,0.5813718840950183,0.5636340864101331,0.5200505406994266,0.68071197245043,0.508017916164588,0.4742722945873486,0.5500189109541082,0.645610931776454,0.5600002804416778,0.46099104285131387,0.6162032175333078,0.6359951706066185,0.5452159462958432,0.550251622244013,0.5511751079069815,0.5836423107734002,0.5669589475679088,0.6617952204622526,0.6672288669302184,0.669162132925741,0.8329427115938703,0.559445196232501,0.513125711761682,0.5211641505826252,0.5806215557509004,0.6184811114880893,0.6316700095191193,0.7453927749941879,0.8194357744845617,0.7906847257291685,0.7205819960082332,0.6348008640327645,0.7098331730080069,0.6423498837461645,0.6104231865289179,0.6482827489174429,0.5931326950018851,0.6130378893279634,0.6050924771481971,0.8404091917495519,0.9175710554937971,1.2759809212217121,1.4207701653052542,0.9092728331613841,1.038920302441631,1.2113063188041058,1.2933971382978426,2.318644765948809,1.8239272462794878,1.0257492411719913,1.435737041449601,1.5272303743640747,1.0795183129870576,1.0008867002166857,1.5555455909594262,1.0794084103138164,0.7393443694798848,0.8986309045034281,0.7117693786542634,0.7539934968870395,0.6082267669213272,0.6532105463455629,0.7391135999492139,0.6413168969671917,0.751517399523534,0.7158958165901308,0.9227497360726289,1.1977157557759028,0.8784344829090374,0.7879826761103474,0.709501353105799,1.2431258786743489,0.6607614309775517,0.7164725931892324,0.696885756335994,0.723221431611351,0.7443203372444674,2.0558977369364406,2.270618594002578,0.8143644464300004,0.7317968936389404,0.8108326883046154,0.692143941740759,0.7589782923687698,0.6328299522000072,0.771049789504551,0.711726960693791,0.7919861058267729,0.731615752738423,0.758008320269252,0.7078699582437585,0.7482298318215173,0.7538417312108272,0.7332887469962303,0.7426951317641808,0.9848624793714907,0.7923903307981657,0.8549575893142713,0.7889582979715022,0.8340707701317521,0.8808906697849347,0.8629830257304082,1.1612012940283822,0.8832626714261786,0.8995649652577564,1.0141713095043066,0.7790032193123021,0.6747133408961037,0.5825293202291651,0.5559110012876638,0.5066087312557511,0.5045966380151229,0.5131359519918712,0.4636514720678857,0.5046736739851367,0.5504027457336196,0.49188634681530474,0.4483546374601224,0.45799863378545963,0.45235470291377344,0.47261802569923567,0.5625967507222212,0.6731416927736469,0.6335462365761056,0.700717568612958,0.7436612396467005,0.7061501743114411,0.7565522011084448,0.7136181678162988,0.8015699407671688,0.7252414881697743,0.7939579754025418,1.003445671754601,0.656733024838686,0.570781914276509,0.5280898404581906,0.6517693573654706,0.6032220593178631,0.5491280174333426,0.5452765214153155,0.552814656926767,0.5759440005145726,0.5388007725327979,0.5924768670148647,0.6063969935580314,0.6287168350442041,0.7088059771646853,0.7429522074318765,1.0331306433319243,1.2891809049640028,1.0284687430911896,0.8471682182323542,0.7148306487010766,0.7837656508724348,0.6827339735981112,0.7676986292736568,0.6178961792662285,0.6267977908977225,0.5840562090029097,0.5958311443150848,0.7684842229438209,0.6828350240661303,0.7837513059288139,1.091491709932203,1.0918910503411,1.1403105763181627,0.7990463751429048,0.7178853619387714,0.6678678891168112,0.690421320218171,0.6823616905658424,0.7432708807701247,0.7161629085591557,1.0366504025834107,0.7208615471823792,0.8130609648767694,0.8926454372547159,0.7461808935844587,0.7099280516084298,0.7295566084549142,0.7096728860604994,0.6840212484864183,0.6606421251090613,0.9954170993325798,1.6789738397288276,1.2044823985388808,1.1248684802224715,1.1493273638562316,0.9128662087008035,0.8742467106144602,0.7649872344519092,0.7756019871385593,0.8400770711876551,0.7380190544938099,0.73941735977765,0.7612019567322738,0.7809756113246502,0.8478608195688149,0.7808958183373731,0.7453048055800828,0.7886782920051807,0.7943030252470699,0.778974747681438,0.7395318462044481,0.8129931378898001,0.7480720635046548,0.8441514933501727,0.8168582804737138,0.7818137683137871,1.0733748326194068,1.075445751842796,1.1292201132242001,1.1189340252640114,1.0593259221518887,0.8735872636604148,0.8706577399328274,0.8568738307716491,2.2365740228639917,1.2149347995861004,1.5306745563961892,0.8775017915093442,0.9753558453674708,1.1010251158829598,1.047733551063535,0.9498930846492729,0.8155188953701458,1.0641991398231516,0.8529986645712263,0.987772672802579,0.8626044289264874,1.0824877302618778,0.9204924860142604,0.9457139484705256,0.9580813788595174,0.8083372995268048,0.8977006041872755,0.9117027688825705,0.9872743080938098,1.0817099158810546,1.3896118348072466,1.2120367254188091,1.1062351744068146,1.1680667115391568,1.359893730501785,1.2333490929570277,1.0397663632539196,1.2327369186847073,1.3326541680349095,1.0094248626098183,1.0662542231183625,1.2787687758052797,1.1391181269281738,0.8960983932477888,0.9500149101580909,0.8757623415479553,0.9344082707470979,0.9453690681883383,0.923391600726237,0.8744617812243304,0.7865412506216857,0.8257655080970756,0.7829862087550826,0.7755627992464609,0.7487676874499906,0.7881098315502293,0.8489662207626756,0.8284963753938421,0.8279907074606783,0.8665467178233905,1.0800711398124403,0.9775128816946921,1.0056196564331348,1.1599329941242964,1.2401743715773816,1.3815390495591076,1.1741085374233946,0.97168564288394,0.9639821199344925,1.2399548051673828,1.1449695820610548,1.1356828590336294,1.0474226444643338,0.8958407844968458,0.7084502147139468,0.7405987344325894,0.6858030891971836,0.7244141068310523,0.7942188362619826,0.9262586676864106,1.5949795079322484,0.8027727762817687,0.7479803329429661,1.0047974054721844,1.2363305513825416,0.6370763766576222,0.7862774126450122,1.0122377976842822,1.7223702210241125,2.487605065754324,3.5100069179483318],[0.5595979313523931,0.31449269375305045,0.4628418159428985,0.25773910924728927,0.36704314745262934,0.3871449129799628,0.3775037397813156,0.535640174253914,0.41052472295320713,0.38534005879998123,0.4586875757394032,0.5310513274855126,0.4365760606595027,0.3831925332161453,0.49318557110897665,0.48558789040721423,0.44577805680725674,0.43490894554217124,0.45280021761129396,0.47281215082341493,0.46786334130627966,0.562505253593184,0.5769198648523893,0.600658827438896,0.7561342177448624,0.4719896951876372,0.39514252371284847,0.3997599779693363,0.4531051596083834,0.4848657962219179,0.5095380565763175,0.6099514089948801,0.6556833022199133,0.6270973613811537,0.5732508528276264,0.4912428384320803,0.5526992129748263,0.49374955467175774,0.46736430506473303,0.4967916360686607,0.440634804182647,0.49419250250443464,0.5149452067145432,0.7167888092033124,0.8058871321198026,1.1825898087112798,1.3189118771845532,0.768005665044086,0.9042251736776493,1.0693697407932041,1.1027000054759741,2.293448524908209,1.813400628598682,0.9403248855172215,1.2766271560774718,1.389925782466389,1.0223021896726603,0.8950872513947308,1.4018223807823673,0.9038932461127241,0.665544608066014,0.7819285204062564,0.5805886468409798,0.6899685026777178,0.5108861419910318,0.5377914655413139,0.6504916484653691,0.5287803138355464,0.6926461923748809,0.6315253112003675,0.8985818581295044,1.1831475982310438,0.826218027911163,0.7378688057059981,0.6418301475424352,1.2327292719794212,0.5385466331963489,0.5956703683519631,0.5536270521078177,0.5834530615754493,0.6111217030213879,1.981941779896111,2.2288415429142234,0.6932507415419451,0.5992636271741911,0.6674465835174352,0.5440063620073449,0.613441867747967,0.5047245082762736,0.6456563316878267,0.5815987007177905,0.7395280793952986,0.6228140014618757,0.6160877021263943,0.5771104736254118,0.6315330664950487,0.6402713198854693,0.5943299711398514,0.6101779008675753,0.8669844912181308,0.650065335702847,0.7069907979570532,0.6299290070991714,0.6692505967660611,0.7088114321270438,0.6825900665842507,0.958303652646841,0.6537819274653783,0.6891933976925607,0.8841738630413569,0.5867921307792862,0.48709938484573306,0.43695072144217423,0.43843211753459616,0.40830849090077087,0.3962193898368526,0.41946250004183117,0.39479952838291227,0.47578164437587606,0.4730424719383528,0.44879827208599116,0.394351811583373,0.38875755977661763,0.3688137566049222,0.3714397375233089,0.40296266403946857,0.47266753758008867,0.46634355452061677,0.4824854365849477,0.5322776145664914,0.4737296708241355,0.5461404878371989,0.4896647396568286,0.6274612617422765,0.535169288681914,0.6170678121543465,0.8325478388216694,0.5159006513931849,0.5241404955339335,0.4405580617805234,0.6475161547739356,0.5363058539100137,0.4862704462232712,0.448944793401894,0.41741767947492364,0.42714194798854077,0.4051332247986277,0.44524545759761175,0.4572609985769306,0.4847604653104497,0.5451961276065062,0.5696625332799984,0.9647623080121149,1.3355430160554786,0.972908864668916,0.7129647496611409,0.5676579538186577,0.6117035619071184,0.5376547485395253,0.5904303824725067,0.47799081155346435,0.4893994027844668,0.4310332954013987,0.43916817025350546,0.6462108534343989,0.5505115622734896,0.6150958583836044,0.989235167911116,0.9622803846445026,1.0242525322490377,0.6143124018333253,0.5608405549072554,0.5053879839921461,0.5342447391315758,0.5169623678404972,0.5853863372197287,0.5677024568138039,0.8688438849559345,0.5608977047360844,0.6580797782967088,0.7608606891642979,0.5627135566809294,0.5286342370106025,0.5593806616706487,0.5370327054979178,0.5238062912161595,0.5205997862905379,0.867748117600839,1.6212403592181124,1.1120243244813817,1.0762822837745616,1.1237250157379868,0.7664158789153671,0.7019675288395132,0.5508268532245586,0.5433256393115681,0.6292051214076935,0.4930700853126506,0.48065746981162477,0.5005079022648479,0.5155866400487557,0.5874991289220203,0.5131980007785214,0.4580889453922461,0.5222244744255563,0.5154019716102977,0.4849177594857452,0.467781109514859,0.5806897502853614,0.4784306073732683,0.5640152531177438,0.5695371313310816,0.5506498228967998,0.8417268494922466,0.7891663555102345,0.8799391006170558,0.9529793584381149,0.7905752861918867,0.5944428957532872,0.661791789848416,0.647209204958539,2.2317909758530754,1.0665544342818296,1.4303317538228062,0.6960528315378193,0.7607631515232727,0.8698293481727289,0.8580924319592156,0.7533922587024502,0.5923143981876137,0.8644792786022159,0.6855517640275024,0.8603041654669109,0.6639677740683606,0.8860762085324467,0.7287581766005514,0.7468485873504154,0.8135039566720416,0.5371867135520902,0.6223460600512398,0.660318851707559,0.7545844215497924,0.8559035892799427,1.1474486768570054,0.9777147512667692,0.8532617170182224,0.922764585751312,1.129904516665893,0.9773791070933002,0.7944812799051728,0.974497668568134,1.055313072667708,0.7529725209331017,0.8325109202214873,1.0504320812605323,0.9003662217630608,0.7105377767587795,0.7715378540036341,0.6811826229435917,0.7225963830157708,0.7172219094845741,0.7019491800277985,0.6516061736208633,0.551584588775342,0.6108967309379446,0.5508071374073884,0.5473258556904569,0.4974796674493504,0.5556039274555324,0.6061164169350918,0.5885620214225835,0.5928559775991938,0.6275119844434419,0.8378632181279442,0.7361978255518875,0.7523758663342722,0.8498644516523546,0.9855836020675498,1.1295183676025,0.8705751106215616,0.6692917151692626,0.6543694475244253,0.9410295708725486,0.8657251380828452,0.8493878916281989,0.7950088030812194,0.6224109396572591,0.4645089656664058,0.48912721995675634,0.46218981299527767,0.4692918278604431,0.5791232537322578,0.7702295955734101,1.5806600298754958,0.5774570571610055,0.5414773806283598,0.8422407122194291,1.0561641563245776,0.36643575958507413,0.6581881159293361,0.8729743681491885,2.168079368411785,2.816348900683969,3.6795987937633075],[0.5472067133485266,0.3025202732383551,0.4059573465443906,0.249739386825067,0.34708191952491546,0.3557999284000976,0.3037896920687906,0.45133333428082667,0.34809957375121703,0.34366257615419266,0.3968777155343235,0.49214910906126846,0.37578527198046024,0.34125306481109674,0.441837751214409,0.4260800281866365,0.39691519139578285,0.3932504917968665,0.42459366068670656,0.43259085164367417,0.4490014508351322,0.532975523876333,0.5943492410048576,0.5985401626616051,0.7694935089192844,0.47148083423695436,0.34587026074975985,0.35438405181601335,0.3934960503184578,0.4151524351537227,0.4549342878843505,0.528068826170211,0.5847673751932396,0.5380885450299167,0.4905652328578995,0.41673861125827566,0.4695841485374808,0.4148076393758469,0.38678647317310144,0.3979750064239289,0.3755819069759535,0.4327175469084384,0.43364862977116325,0.6993330008965433,0.8395067697144664,1.2204249326370036,1.3873112511293153,0.781643481888359,0.8981611178124347,1.0640761116242554,1.0908526776536078,2.2583604775130435,1.8135332513340359,0.8560500339751234,1.2117458609360559,1.2700594187454968,0.9382221097309709,0.8135721303812069,1.2885036941327699,0.789446980333094,0.6521551942581992,0.7193931638507568,0.523511221965879,0.6688496366029902,0.47772634272187386,0.4888589588778704,0.6398417243297175,0.49642897751053655,0.6909285799230815,0.6166983506157769,0.8553157627837804,1.1215430653864924,0.8098504895034543,0.7156469736852186,0.5951501303125123,1.1831014603202288,0.4950386596435438,0.5184230946471972,0.4649639157085242,0.4777758844587331,0.5124970998455219,2.007317762786067,2.1916592757319737,0.5645779312527385,0.5321177254627443,0.5651424204162497,0.4416173156800364,0.5306939153585383,0.41660663579209767,0.5414314222816806,0.5193399838699397,0.7001304864138906,0.5727637323638133,0.5400101816382179,0.5123351502920303,0.5760556610427588,0.5826091781447182,0.5363815242455074,0.5379351508226465,0.7932992417214713,0.5833091342761301,0.6388204933536659,0.5403796316930206,0.5950363730770657,0.6346240394390883,0.6052699927663873,0.8610782759311572,0.5593813464943632,0.5973416095406924,0.8137992569695488,0.5096077858662028,0.40480675663315074,0.3513283820502,0.3716625569370381,0.34993742313008686,0.35457405050327234,0.3701671404991552,0.35612220821584323,0.4794114909012032,0.4447646042629893,0.42465194095925235,0.3600634045044313,0.36730344640611734,0.32842707318605074,0.33258936852098886,0.35547774210074673,0.39695527891564464,0.399242525060537,0.39916165614952204,0.4615755677455082,0.41212931298243854,0.48730299143608946,0.42833217412754643,0.5405253310773257,0.47156552454727524,0.5704521272313476,0.7930823519473145,0.47480334307535405,0.4740005986919649,0.3888549070817689,0.625659163544948,0.5244009981644293,0.43150326712164444,0.3866382731254739,0.36344030607305283,0.37840804642328113,0.3493795461459452,0.39388769863643325,0.375656397270435,0.40946072345433093,0.4726816569656115,0.49069153628151846,0.8963754355153789,1.3544375595317897,0.9641238340663651,0.6328873190925034,0.49103199931454244,0.5392261666490735,0.4539993447745326,0.4953116894579591,0.394951600515097,0.3961648085005156,0.35533836271827707,0.3632029113491009,0.5806159445890554,0.516138013603801,0.5933531281660491,1.0102191885284215,0.9556138733242232,1.008605048283174,0.5731282591093203,0.5051238191877215,0.45656717764096855,0.4620416732843202,0.421960419928956,0.5012835734008961,0.4843322307583757,0.7546697958712902,0.46554141441625746,0.5498128569259125,0.7160511216719916,0.4742144966329868,0.4373430430145521,0.48274354047989854,0.4838083940043113,0.4890983345321911,0.47587162754812234,0.8585765412859393,1.6210573190874038,1.142366205290975,1.0990159735617775,1.0964228780081673,0.77444630001626,0.6883440371323665,0.4964700666360884,0.49179203527803855,0.5779123861887132,0.41281781517202243,0.4173055416091227,0.45846542026255654,0.43333645304882856,0.5068856652573269,0.4332450851480228,0.3979334289994327,0.45325813832844297,0.45841929214227095,0.4365396021185625,0.42135359745766193,0.5413509244891556,0.4483246971827388,0.5254584808889236,0.5478341114509026,0.5549616323022992,0.7600762013653012,0.7405895310264583,0.8547639621619173,0.9413220968895373,0.7336838508666117,0.5599460291273133,0.636463841522572,0.6218124743334782,2.1324094330103254,1.0356052500756463,1.3697379515503258,0.641330556524348,0.6757793722906225,0.7910516889239386,0.7761902049842789,0.6758537424575082,0.5291833402509641,0.810891413478656,0.6613487904492596,0.844169982596372,0.6223207877080995,0.8328908355601912,0.6847572777649986,0.6821576027080437,0.805331083290951,0.466520245098721,0.5329566509197156,0.5895186828510123,0.6884626795619988,0.7829628486132884,1.0362733286242822,0.8791284339340515,0.7753761780255725,0.8188034103816889,1.0285227031632556,0.8892214176367589,0.709103086968525,0.8968801024730209,0.9952172678423411,0.7081168289153587,0.7768186069971829,1.0071524335684134,0.9158348050380748,0.6983273930404259,0.7469256310432861,0.6542702960784151,0.670546007005276,0.6418546255917886,0.625978897876647,0.5945912375328389,0.5053320160387533,0.5536861876407525,0.5080235431813422,0.5180437798920643,0.4443731210359214,0.5106875368399866,0.5952372005354268,0.5597848588312414,0.548737428142563,0.5792395109936795,0.8139596486844477,0.7206540814274859,0.7379123023456776,0.835434881220102,0.9888305168618756,1.0676756377616292,0.8263818697744021,0.6259740440762711,0.5917881177960521,0.8957883960935008,0.8341242578920137,0.8326120064576807,0.7853945606830379,0.5949653755805902,0.4478798558636454,0.41175975133730397,0.40396916615915374,0.42449516011539784,0.5172227102087062,0.715114888249387,1.5232786854437597,0.547544714721755,0.5144328799111023,0.820490785514265,1.028160590618511,0.37623292789970675,0.6163085642962686,0.851388798287998,2.2963590011237445,2.841437569890217,3.503948640610055],[0.48234064840634483,0.2955372347683234,0.4030810237251636,0.25168281829751926,0.36744324637679665,0.34129874686709594,0.266624100983413,0.4340970461966414,0.3105683570708899,0.28818229026722214,0.3447390398078217,0.4396024491399703,0.32842137318265247,0.2884246054259855,0.42082714395720594,0.37815535262991096,0.36838391706295354,0.36398533459192584,0.4243011569316827,0.4005860007723286,0.4307558594325136,0.49688619621343594,0.6158646932337445,0.6111668378853615,0.7771691158135962,0.48961820302195963,0.3118518652379554,0.3148413369527452,0.35288435646619265,0.38266749455374394,0.4331542293053857,0.48814140313339044,0.5632104833549153,0.5188943388885122,0.45603668339868314,0.3825134411106196,0.4335452365445835,0.3739600100838036,0.33030230706775715,0.3437908041366108,0.3314334153981749,0.3927006143879689,0.401940140716302,0.6417164819471894,0.8397045260362456,1.208813090765858,1.392645558895252,0.7369537065269629,0.8455452872451377,1.0044739946697174,1.0093027699737493,2.223111491966472,1.8253945002375052,0.8223664912176917,1.1823573336275173,1.220499952694174,0.9223344128147134,0.7988160986602225,1.2464414729789035,0.7243942127917389,0.646621101965963,0.6952719709798019,0.5278554006640296,0.6998580120584575,0.4574104289672479,0.47269246505052914,0.67308070164211,0.48602974299984153,0.6943335551322052,0.5994500375301968,0.8406050989616154,1.1303746837914532,0.7860873373282858,0.7317482253268695,0.5788426456324128,1.246804012618778,0.47876393395471645,0.4934190135647905,0.41831564149784956,0.4420639896467564,0.4592662812332782,1.9465554710296034,2.1560034838332727,0.5586537844251155,0.5045841042804121,0.5331693468578245,0.39462339313001715,0.49176942734823,0.3752159299210287,0.5149509127789516,0.49336394167962794,0.7081388726193555,0.5701959963613965,0.5369546826008974,0.49976269759796105,0.5737032501118479,0.5818294554108855,0.514411033097017,0.5146546012928027,0.7842306241647684,0.564052636840537,0.6299883401265329,0.5110056225382177,0.5742751721102296,0.6108375049737738,0.5843343104580093,0.8411767793472738,0.5440401260373091,0.5897279412803613,0.8145696470326512,0.4941545316037133,0.37351750613126133,0.3146849911763822,0.3501211980974459,0.302776352251892,0.3013203748941978,0.34097413609198923,0.30786877399276436,0.47155605693300423,0.4233235954864976,0.393727335801094,0.3287503221335772,0.3088142115726334,0.26715281934418805,0.2905017816840055,0.31930541082799074,0.3880528463229252,0.3907810682619395,0.3869324322884209,0.44802287353035897,0.4108107726416012,0.4861293601232643,0.4203296481645519,0.5243157863716815,0.45316388708378885,0.5446464707782722,0.78885880077271,0.4587610812944708,0.4659848384223578,0.3804164567557183,0.653912951155377,0.5336056938424077,0.39371883651418127,0.3380328102786899,0.32425145153109647,0.33565878241461466,0.2961801489056857,0.35085535301507126,0.34685494186267773,0.37500582912201763,0.45314194442576944,0.47462876191144243,0.912189097577694,1.4172349987178736,0.9679997115464394,0.6255833502197556,0.46499572263564587,0.5132239568312934,0.4226532354439701,0.48341349775254044,0.36919998022449124,0.36494581462681486,0.3193114195835451,0.32110011475067624,0.5418413783551449,0.47247129724698106,0.5879134117552025,1.0531691965321517,0.9682454267305476,1.0019324278527209,0.5527745384507867,0.46987030493807663,0.4341099421280928,0.4311709252333269,0.3925347467713896,0.46932441089430393,0.4541243463566547,0.7476260764990091,0.4380122938415101,0.5297957409032861,0.7071911531180536,0.4475191317169098,0.4217284532307481,0.4606778554242989,0.44925959993670056,0.44503253896740536,0.42666370807583515,0.8324379246691315,1.593576511148992,1.121594148880213,1.107901314372363,1.1143589446055835,0.7819480781928189,0.6962501119812436,0.4964979973444701,0.4981837804290007,0.5771904073795757,0.41708837657818854,0.42908066812415946,0.4760151314816042,0.4459929459716105,0.5212613320249376,0.4498713142064196,0.41217941384926843,0.4721144865430207,0.47890633981040087,0.4444630817190917,0.44533010666686845,0.586712844977833,0.4744613406626708,0.5308224674425387,0.5754285541019342,0.5892325533372432,0.7034650215291731,0.720287967739628,0.8096435091822215,0.973675900727674,0.7584278161351853,0.5780540707949594,0.6545554096231772,0.6495148783174413,2.0687224810583404,1.0584601488483572,1.3845702909197477,0.6668619576571778,0.6981997161304078,0.8037421149169165,0.7711952918811065,0.7004605965339338,0.5404944295774115,0.8070613705059059,0.6617711071835889,0.8577167602409822,0.6334601536104967,0.8306831464389581,0.7244486064238559,0.7085588155805074,0.8254500322078255,0.487332435407979,0.5415479599649066,0.5919699127485104,0.6899727799707014,0.7965744460076591,1.0647884507096823,0.9076791309461975,0.7896346853807109,0.8499085014411738,1.0610172268700493,0.9110554042180994,0.7439223774118606,0.9466819141759364,1.0419605544271677,0.7514424413394647,0.8295142917441802,1.0685230085308794,0.9669096795943224,0.7525589936111968,0.8076664388593712,0.7026318791862688,0.7212008187748261,0.6821463967866779,0.6646492733999029,0.6294381741524597,0.5394491634165244,0.5817059783469622,0.5435054990724518,0.5506457460893381,0.47299200002952513,0.5407876506918895,0.6550657666172065,0.6016315988618245,0.5910021677832474,0.618484053701399,0.8678226815719702,0.7680678310858448,0.7855299576225888,0.8983044408705421,1.0296907053655162,1.1373449398400304,0.8691244106061937,0.6443032061667968,0.5903646328820883,0.9130325960854758,0.8780572137554543,0.8933626569830394,0.8267567767013118,0.620421882711303,0.4590386494512303,0.41702531912655294,0.4108620374681225,0.450842463502869,0.5199149171556291,0.7175311400269254,1.5463033861157238,0.5502385228012892,0.5311734943464889,0.8332991550461304,1.0311585874682396,0.3953572320482522,0.6136836165137092,0.842992149767646,2.218257231579137,2.843956109481358,3.632302679303996],[0.5254012826544862,0.2957706592389475,0.3641654416268903,0.2906470309147994,0.3796613844522746,0.361051951610136,0.2834275236554391,0.42664976515534064,0.34399061273229853,0.32124443235515415,0.3782084994975133,0.4638205889115243,0.36789654515731957,0.3309112067581709,0.44150716448475436,0.4045245476379426,0.4093492209234892,0.40153940322767073,0.4550879114875915,0.4401237281706962,0.4785377008040586,0.5243876073158659,0.6558096757140796,0.6408695192005757,0.7663880474943519,0.5199231044848797,0.35890460189821666,0.35442665319346855,0.38690240522962477,0.4138105626977482,0.4710972333148461,0.5068939651379475,0.5856308614606753,0.5317203185228602,0.47966156293902795,0.41470204535245997,0.4502434654603135,0.4063486571467782,0.3602268701067413,0.37351889200744515,0.3634251529637957,0.4307242902844928,0.44089271089645543,0.6629918714568046,0.877453572793718,1.2387712824291828,1.4060376273257924,0.7785288616492461,0.8659883513959578,0.9957878089422546,0.9776060007952111,2.2636354204879323,1.8961771620059045,0.8584447028005648,1.1223219621289369,1.1740474825970184,0.9412463172215166,0.8368472885852857,1.219051931749109,0.7113495982319427,0.7033575989923518,0.7243923808985742,0.578334680572276,0.7576878159121718,0.5109771684400342,0.513106014851113,0.7181506730082722,0.5294150223589952,0.7432022958331211,0.6275950992214435,0.8495409902100154,1.135288226304697,0.7979924899709679,0.7694557408792444,0.6038620202714274,1.2850900807575154,0.5207707386691502,0.5224678815854067,0.4424266605244201,0.4746245864024454,0.4567346036819409,1.8835972216753827,2.100733713781514,0.5915515131058644,0.5308817019203118,0.5351315745091754,0.4059726837212035,0.4923063977831052,0.40487767698128324,0.5216496669295151,0.5240799405390567,0.744181765106238,0.5946857679034688,0.554996511096617,0.5240819131172277,0.5825709189911138,0.5938885471989224,0.5340772479489422,0.5327617244550702,0.7866685557240004,0.5732038600797073,0.6178341296219425,0.5068731978539658,0.575176074955018,0.6078448379916987,0.56658491063375,0.7942509358845454,0.48356981307749175,0.5275111336865642,0.8000672429241714,0.453871154046603,0.3534825278458237,0.3168318701237147,0.3694980000540308,0.34741835073273475,0.34284703113170856,0.3755319230021435,0.3492136839979072,0.5023143988335186,0.4484411018118723,0.4089618069517571,0.36626470337393074,0.3523295703044112,0.3026313789294938,0.3202055227900564,0.331417620809908,0.36484381244000014,0.379738876577672,0.33967913965415747,0.44005741889349453,0.4006470693708279,0.45584244278331365,0.40198360657059484,0.5185335983915578,0.4388375168957167,0.5255928773595596,0.7442172557700588,0.42891763882221706,0.46879892701130216,0.404041207068854,0.6886954716518887,0.5676050145819058,0.4250668878135633,0.3681126054019827,0.3486872780957261,0.3601938425728807,0.32837852289877184,0.38038267332533826,0.3745665837185316,0.3912125084161621,0.4522694151194694,0.49757451672409736,0.9061311598928836,1.6006065323438585,1.0727663651869128,0.6334760822114724,0.4829780019975833,0.5171285681555602,0.4571092590090528,0.49569052595389007,0.39575008758349917,0.3862406464953433,0.3460806292095394,0.34592149773148817,0.5255848919041185,0.5018667775784995,0.5837561760177873,1.0759406559618778,0.9524926055852232,0.9823258888909939,0.5257256686211395,0.4682505515737141,0.4266751697232734,0.4308830245773391,0.4100830694111746,0.46539304921389457,0.4665043341498619,0.7262227929220936,0.4503376563888838,0.5366967243167485,0.7280675908960589,0.44786827271786817,0.42262843570331465,0.4538262042580016,0.4608963217141496,0.46118604803913,0.44537217970755294,0.8409553753095586,1.571506196645492,1.0639505057021368,1.1302320497050617,1.2079578562628022,0.7882422493073075,0.6954186322455623,0.4893405093510424,0.49620093342854826,0.5658789152093066,0.40011181578086374,0.4231089777405776,0.47403002062541966,0.4033014892212343,0.46495309202463375,0.4040764930045499,0.38593584700710715,0.4200138844121094,0.434735077556477,0.43488572000796005,0.4107217536734802,0.5164551718073324,0.44904198646890425,0.5137457596826924,0.5440062411410405,0.5618985709499769,0.6970376905057162,0.7162597357651432,0.8257728620618343,0.9577093429089321,0.7142209879152196,0.5483942234123004,0.6208185768477167,0.6083786402123572,2.072541625602593,1.0122427595175516,1.3511713416488085,0.621754643932289,0.6414722056172945,0.7467252708551078,0.7430520078474907,0.6417824555130375,0.4913336835095445,0.7692360476763273,0.6576016634032854,0.8214431175693255,0.5923970028166247,0.8334507462868236,0.6845208363725103,0.687161095679778,0.8283844021934361,0.45945920133696116,0.5028079876736652,0.5694029723058448,0.6607039569365221,0.7648533878056556,0.9852766254255965,0.8425590652590624,0.7319785181110426,0.7619927872002703,0.9737425075356505,0.8252872749957114,0.6581488426198268,0.8350693064809516,0.9301325743257614,0.6548061708578446,0.7277503100231255,0.9607006690623517,0.8749203989973496,0.6794823779478636,0.7190311944995889,0.6238359308628911,0.627470824339313,0.5949704209245157,0.5814505139903144,0.5544754442456017,0.48190314044665267,0.5279648719757468,0.48955975886428754,0.513522655697516,0.4440615587345695,0.5048392460838597,0.6180148112895062,0.5665903137789433,0.5631427775212032,0.5864312273626041,0.8380539693135745,0.7427161303828957,0.742984175347289,0.8666175700547087,1.0293346567201398,1.0579252717621448,0.8013028324216421,0.6097214416318605,0.5411985963527256,0.8502549365500635,0.8019169631721615,0.8306218740427032,0.7873083756687226,0.5957997754618983,0.4546043226640785,0.4030166638590602,0.3994352374221551,0.4148304644473184,0.4750064535413288,0.6924395112763765,1.561499922513737,0.5181833689526381,0.5085784903476799,0.8375399871321155,0.9753452887469617,0.4113216706443909,0.6437414466158179,1.0402350921934567,2.7026624427277333,3.376357238411756,4.136147237631575],[0.5392757602840899,0.316870103600493,0.3664375657371048,0.3068216456413715,0.37621236607829955,0.3483518882103751,0.25058978468985055,0.36689159045774355,0.2814581218949026,0.2603614250606223,0.3083203253361767,0.40034853860935826,0.287141136104156,0.26381562013220083,0.3757172097876551,0.33342625813402527,0.34856696822070726,0.33406945761985996,0.40107139543398257,0.3824534092470029,0.4111919003515306,0.4879749287923432,0.6071412341788737,0.6056702118558767,0.7769726254563043,0.4840541105699434,0.300053056503622,0.29702829745959036,0.32485552413664565,0.33624080155361175,0.3800254831637168,0.4210551206244669,0.49681183233573345,0.44538864778604903,0.3900460944966958,0.33277951039492065,0.3684477972028603,0.3396624588853047,0.3015668018293152,0.31286398435806984,0.31547001126443297,0.3715690679384761,0.3805529858841251,0.6437399742158797,0.8492085940505408,1.2230190839580843,1.4021912598239699,0.7589638213814979,0.8561601950165386,1.0025770424801852,0.9970574908426426,2.2278058717386098,1.8556021738788078,0.8070884776257452,1.1512076246760294,1.154203872538308,0.873038771488309,0.7651152499643795,1.1798640267426048,0.6925998497947486,0.6639772787716459,0.6798772008971926,0.4886426319485129,0.6628346713722196,0.44820119272885856,0.4477643132361345,0.6415144798605584,0.4568860944501123,0.6755694562837997,0.5854109486834734,0.8257342128563628,1.0921653020549076,0.7587286500129602,0.7138443074470585,0.551675463033724,1.1972085725216113,0.4415030427884358,0.43350734995343193,0.3584281111854886,0.4056110862865744,0.3973755151027239,1.9341082539709005,2.1034828483730927,0.4982730447668412,0.48674557380024136,0.48739866175455776,0.34380277916133195,0.43316516734173666,0.32954193406592325,0.45477176264415214,0.4352348130270466,0.675344031552534,0.518379824290926,0.4707499931570604,0.4421161964495222,0.5157439601163023,0.5305474893026475,0.45036647072214747,0.4395661432965511,0.7071531618653196,0.4886762890262795,0.5466037368467066,0.4263030103703051,0.504870724999317,0.5489950422006555,0.5225618628290193,0.7425523150242626,0.4563581622976176,0.506931281607538,0.7668914972857035,0.4213966771437796,0.31769559884270643,0.2743669478262654,0.3286647361421445,0.2903921403435393,0.29623220158766095,0.32747103667906624,0.3116954668517422,0.4558142589659413,0.40300868642797955,0.3774165718721277,0.3163058355144787,0.3174720743611127,0.2661292609666632,0.28314740016431406,0.3096530599070786,0.3411508131773859,0.3548335768755317,0.31990547127536384,0.4091840543356207,0.38864753367626786,0.44178736077977976,0.3859271423234562,0.4902712537862589,0.42386402709816806,0.518271152044254,0.7441176651404697,0.41533030667582926,0.45622053416633895,0.37832891341560515,0.6595370648560065,0.5355457024128754,0.3918070731232222,0.3347665641888751,0.30894698833204165,0.310674611328267,0.2783971315365088,0.326990309323429,0.308929673408915,0.33604133440410255,0.40541036535664343,0.430152690436906,0.8328179770666685,1.507825175017648,1.0170390011684989,0.552072119668584,0.39488019070076263,0.4419878192258375,0.3698492902045864,0.4356150725678849,0.34725723519432994,0.32952994152446086,0.30978986243322065,0.2993878705471649,0.5095601987770263,0.47985100699240296,0.576180057491378,1.060307702640584,0.9449131134063611,0.980138860861019,0.5210988564478125,0.45766715914629724,0.40516888347381735,0.40210743877025,0.3515120818092677,0.40227268283190304,0.39234716032761835,0.6757537796342739,0.3820673892409273,0.4739949528698624,0.7096151858507778,0.40431977265190217,0.3867855768391133,0.42885025051870224,0.43255958370365793,0.4295288176657082,0.42148494044356655,0.8321521963010136,1.571180677118567,1.089563025039834,1.120139306674156,1.165196044363006,0.7852601262801102,0.691539266664863,0.48129020989118404,0.49510220071791433,0.5628627363834761,0.39432366280208103,0.42394775645420635,0.47100356926879844,0.3843681453862071,0.4321004973716429,0.38331992412703403,0.3797005674927204,0.3977927256024043,0.4137104497283967,0.44239326431190956,0.4102418344952159,0.49226703177586545,0.44992787421286873,0.5173552454681563,0.5388357024585303,0.5637759462361164,0.6990534297405037,0.7178421379711555,0.8561472731540273,0.9518631873506925,0.6954930239053686,0.545963293599122,0.616509423063475,0.6026251644025754,2.0637114190123214,0.9990279168033398,1.3342083252713397,0.6108104404305951,0.6147776850825587,0.7094352921286259,0.7049639663953421,0.6126823591509527,0.46364519495672796,0.7409531193184876,0.6545691015420473,0.8152331369743494,0.5817673786327333,0.82385720169207,0.6768913114160218,0.6828052503891133,0.834363380712303,0.45227901441349116,0.48547909810680184,0.5516172528074531,0.635464267534528,0.7319817154242961,0.9277757556677753,0.7868356581821375,0.6916917765715617,0.7017920353742069,0.9170434943162405,0.7699008573455303,0.6117532107587084,0.7773714870935106,0.8841237281776113,0.6171403949104883,0.6797444246632758,0.9118424961894194,0.8605220017703515,0.6510840975144196,0.6791644917362973,0.5954957237219036,0.5856723636381725,0.5524990305622166,0.5471803433201483,0.5274049937587032,0.46319278060282953,0.5042702888281841,0.47439943373150667,0.5071832813107917,0.43800970011817497,0.4932611582774554,0.6141166941067734,0.5643868387521905,0.562793108092767,0.5859225119270782,0.8360391396417264,0.7425993561510842,0.737027745752178,0.8571788090552179,1.036706583999645,1.0173027291987184,0.7828305149630639,0.6088440803151145,0.544138876470241,0.8473600287256466,0.7864984596683142,0.8119005093596978,0.7842605388983724,0.6018407633110865,0.4600642911702292,0.39674968619674505,0.38907856207099917,0.4029790760138494,0.4499757536033803,0.6665659889707656,1.5207735254480472,0.5115496908691461,0.5016838569722453,0.8392309222036092,0.9833141254286254,0.42319469543005755,0.6514091147425426,1.0553584117481107,2.7855351384812748,3.3890315832621636,4.066302460442607],[0.5327800395908795,0.3806030806505342,0.3719296493412269,0.30427765905029275,0.378171695155278,0.3549623046409805,0.27306858260358513,0.34844174837727804,0.32815256469052406,0.29660192283653297,0.33260176762237176,0.4192915129111454,0.3167739238199777,0.3109433560059485,0.39375353312733563,0.35531127031019316,0.3982458807992764,0.38365273614532114,0.4457370305965414,0.4085367452051093,0.4570356652620344,0.5271738962850371,0.6574320574493809,0.6682318119740794,0.7930086259263476,0.5331037046249402,0.35811789318161724,0.3448094793965967,0.36295650391119266,0.36529038488169174,0.42170426505686665,0.41786236005461935,0.4964582552301325,0.45549799040156475,0.39985079607996654,0.3688942240328978,0.3786400065878901,0.38940517714697276,0.3442414064727389,0.3290216848602085,0.38956888595545397,0.4247987464829827,0.41574113073853775,0.7090702195993573,0.9221663164239262,1.2814443110498002,1.4726012237820154,0.8356729154589975,0.8986265944840645,1.0363067414207217,1.0108970316748154,2.228741664143168,1.946601949315499,0.8379584610831758,1.1520746893056115,1.1206373095255269,0.892602923028437,0.8023358996964535,1.144723456627983,0.6704394034353185,0.6897056869730241,0.6699788137747138,0.5111387221165566,0.699568557304213,0.48496879920082553,0.4708869028162305,0.686262684225489,0.48169833147531055,0.7031692127991528,0.5992794543094279,0.7969100782137608,1.0556691856348406,0.7435338286733547,0.7521090801245764,0.5506350201227082,1.2154332121362827,0.4608617629612686,0.4596131459044666,0.3876359935614531,0.4272481113851148,0.4118098893791168,1.943132386759715,2.066881036925342,0.45459267869138503,0.49831881353223473,0.4509544469889444,0.37098606813845336,0.432505382550352,0.35681916603134073,0.4595203013074697,0.45406655581615785,0.7157687242666125,0.5611982984402312,0.49484408665193386,0.4718699764989673,0.5520237385701244,0.5487912453906206,0.45936550894637124,0.43573546832847365,0.6542967680583482,0.4641322095330262,0.5067352758044563,0.41246076044279095,0.48126005466402255,0.5114059000478615,0.49546508489787605,0.6777051860959925,0.43155893120783867,0.4892372420962562,0.7802862856664288,0.40956956568711655,0.334185416473735,0.28713954256330865,0.35079311910831484,0.346409836282332,0.3396896685994739,0.3477533978410036,0.36876557415921113,0.5143110171658489,0.45516577144171716,0.42157294823595154,0.36195164976454547,0.38157248690190837,0.3136791714329596,0.3153716218014831,0.3384898735749671,0.34641997806752417,0.357890454121404,0.31816405885035115,0.41704523122510606,0.39733385417443906,0.42583696133084786,0.40305782339905943,0.4928692022876683,0.4333560131296971,0.5336895688304124,0.7267694228378896,0.4465694615357344,0.47095398945057254,0.4182027047869824,0.7208280347155339,0.6146979156145235,0.4636041790352368,0.39574367272516003,0.37292207158604895,0.36015569247084434,0.33499462895419396,0.3613188936345256,0.33136808371638526,0.33143472150186964,0.4105771031211406,0.4407367650004543,0.7607131856162493,1.557186821582575,1.0668908012117697,0.5126043517080038,0.3875635093064071,0.420895629551937,0.3791902117234741,0.4058957265947004,0.3707400137089786,0.34803214162871177,0.3604926829507183,0.3492972261411453,0.5161319733483587,0.5104830749211418,0.6328181053539471,1.1549560810590502,1.001594197365494,1.0018072426987017,0.5408856089245576,0.47450212232829914,0.4284273514040276,0.42347351923173526,0.36757124053855644,0.3927319442456696,0.40173740211285675,0.6739070790897781,0.38649623123489196,0.43564560426000576,0.7388320386706874,0.39825565763875215,0.3929385558593443,0.44722263935997075,0.4658616765903389,0.48066659046463467,0.4816313236013625,0.8807214634994228,1.5810168387161254,1.1346893163859015,1.1786766456127848,1.2183629316748654,0.8430672818989827,0.7403371303626057,0.5172576013399933,0.5172626848659737,0.5880619865015257,0.4053257931251919,0.43228014648866864,0.4930295193200951,0.3733652889439702,0.40113601507633256,0.3810845053767228,0.38040459060664583,0.3800793598571469,0.40243838190739395,0.44179245862145494,0.41560054830306015,0.48537961449240075,0.46838809190352126,0.5231720986495222,0.553072424736555,0.590665254197003,0.6773520201428327,0.7410798223241701,0.8665985307238511,0.9388140185219761,0.667914232621866,0.5420528945496147,0.5984940951469427,0.5830627242908968,1.9960117612133943,0.9667947012594909,1.303952215638404,0.610438403237235,0.6088110410849606,0.6832232482370689,0.6720359722132164,0.5955274580700348,0.4359384285597535,0.6955532693622075,0.6439766464817285,0.7666478934075407,0.544138666285153,0.8289523496077698,0.6672609891166639,0.6887033125076064,0.8944186649630492,0.4546302162859453,0.49034048677596326,0.5205993007701135,0.6038792713409589,0.7068763922349819,0.8529249100979964,0.7500834219662149,0.6537523756672547,0.6400545318325919,0.871439465394231,0.7199001031079354,0.5648108775032952,0.7161584358274359,0.8309258829707004,0.5831211920063786,0.6336472337751686,0.8681653102365667,0.8445459026143205,0.6337058057773332,0.6501684009387161,0.5884102056416828,0.5525488734605283,0.5132395844521932,0.5162897375799036,0.5103586965354795,0.4478806135787077,0.47899271539659005,0.4539893734806131,0.48584259921861667,0.41753877053104926,0.46024323141199336,0.6170351619301185,0.5446641685984667,0.5559976801103068,0.5884339314295026,0.8467720019069332,0.7502161193125919,0.7380580568807348,0.9049188904757067,1.0764902521751831,0.9740438363562792,0.7512643621637531,0.587498905622269,0.5154522807272913,0.8099760139020628,0.7240861300264742,0.7763509408216986,0.7897241505411298,0.5944982830471369,0.4620529798421224,0.39076157584971793,0.38880300866766415,0.3948923017472144,0.4535792118655817,0.6615955790664976,1.524364558954011,0.5456381398147825,0.5378337193554197,0.8853587819290647,0.9953493640036934,0.48707801696645703,0.6946036450291639,1.1395613448742161,2.9741009155325298,3.648089336434412,4.4161454573419325],[0.4794970125352794,0.3795934750064206,0.34966636571484355,0.2779607942648077,0.3695499862631711,0.3020396630236817,0.21840559478300195,0.2628794683291911,0.2920726506895177,0.2502269711042809,0.2705468901195581,0.37516972288332573,0.26858833039849317,0.28934167698220636,0.37536013155646214,0.30730675232690374,0.36780538833088117,0.3715476556542976,0.4378099966931594,0.39838128268152373,0.46996478678131254,0.5570664695388983,0.6795022791053251,0.7358287501441542,0.837389798439599,0.5724538173165435,0.3522087677299892,0.33012785772480385,0.31555273370725256,0.3124860853161334,0.39459663730694966,0.3596387670944685,0.456965396843878,0.4145506955107994,0.3480482534025383,0.32977742226380097,0.3197512305587697,0.3385129773214318,0.3170987662903425,0.31955722493890376,0.3952895517858521,0.4023147511875703,0.4051618265627077,0.731806804662875,0.9775940594150438,1.315868653567295,1.57628890349694,0.8878713149278893,0.9533181532366773,1.110491728963433,1.0768497285114076,2.1838375146674265,1.9968445650573683,0.8246333441200715,1.1893505605144128,1.0679011231630449,0.8466569256703855,0.7890781377542445,1.0885444690434243,0.69146263824798,0.7297932408782108,0.650542566602276,0.48792300684383183,0.7015012586798257,0.5118031022963003,0.46393501726137626,0.6843046295153776,0.4646446561421494,0.6998391418657751,0.6037057613215336,0.7847880613443098,1.013797307088859,0.7462786957687857,0.7785809923867405,0.5687447177722923,1.2022605330811216,0.4430404833820754,0.42771254218464017,0.34953851097604494,0.40326775608581605,0.37058763385577453,2.0138177679087477,2.0529397275671823,0.3973832032707532,0.4968640388967677,0.4109536222860953,0.32428744984163455,0.3923876302731981,0.32440480153592083,0.4216486494700176,0.41244870239324205,0.7427140145983262,0.5618808528144829,0.4572793750219511,0.437651269838089,0.543336935610339,0.5234049313857234,0.449788809273861,0.40916413364048476,0.6268526590522215,0.4151093383071153,0.4328605471209518,0.33069665917002783,0.4112067738882993,0.44827761579240594,0.43276346514254455,0.5860918816025922,0.3962262363418151,0.4448083692293386,0.7272865347701892,0.3610166713651388,0.30767880224811034,0.24662016653135957,0.30369701957620093,0.2748027906951235,0.3007457346828717,0.3370818183473717,0.36464344694584083,0.5010728349805035,0.43124050001125924,0.4226777076272001,0.33926238090678384,0.3668175271072478,0.26440811112426976,0.2509852379891188,0.32014988268723216,0.3082065852942383,0.32955471485494764,0.30357323570216604,0.4084491844333122,0.42248645730921336,0.4395439189343345,0.4244531690795497,0.48001280680646174,0.45361709189460864,0.5691508681788893,0.7319443130644341,0.4764880820982832,0.4661400640701939,0.4554118829150119,0.744606516929968,0.6678519373114791,0.4505982515792871,0.4076615481310818,0.3682267942004046,0.3410591356195135,0.3059715290337644,0.31507085802873414,0.26321808384463297,0.2953310234871254,0.3789868149864846,0.4044284016606852,0.6965840618616516,1.5217365013632593,1.085917955178038,0.4711385868285303,0.3280593188814715,0.3463326936947217,0.2940375343889218,0.3372493566899893,0.33581279670444747,0.3074309162200845,0.35526100236106856,0.34335526614437645,0.5169548478919277,0.5480364706267927,0.7165878090593453,1.2719741274201453,1.0884373349803913,1.0382587430009873,0.578429211416126,0.5001149906805374,0.44133213056593346,0.3990675640553986,0.30781394006517593,0.34409148160598546,0.3282392020763441,0.5895909517255591,0.33190042545057385,0.3671796756239903,0.7390205616252892,0.35142466730510696,0.3843197755675215,0.4464440750434867,0.4629421984675464,0.4985421268609261,0.5324136902404077,0.9479335161752356,1.617692368378513,1.2581204884903767,1.2400001298893266,1.2036439337057547,0.9306807659615473,0.8056407816207831,0.5728117719341005,0.5702630544730716,0.6016366976096288,0.43146469007030236,0.451609951835187,0.5310226344688592,0.36301448829090127,0.3627831971334708,0.36091319636345653,0.36438060746405987,0.3552306339045634,0.37973516135000357,0.4366156193313022,0.40308337202841554,0.47268986496015974,0.46351340466773716,0.5149625234541959,0.5565786600105563,0.6083756996256983,0.6649026710854533,0.7738968923712491,0.8522451580322484,0.9588466672182031,0.6519098896663507,0.5297672681712494,0.587096161847455,0.5843860669409076,1.8574971258715505,0.9596932223838353,1.2901414090135654,0.6131722723416471,0.5711289636637645,0.6194005793017925,0.6026188525904059,0.5739171150520436,0.4346102611818974,0.6753885780391268,0.6901256177840345,0.8015644267764037,0.5742125780397063,0.8286181549720221,0.7464785601805203,0.699866072617613,0.935125271965976,0.47364334202273267,0.510296395813789,0.512041392883442,0.5754243746200152,0.6748397106300814,0.7979315880161998,0.6975995385970689,0.6114268233147602,0.5812779318316841,0.801607632810192,0.6709468553616338,0.5263654466745615,0.678417907322789,0.8056333806860244,0.5754293085259626,0.608330829705843,0.8487291897898588,0.8780037745733362,0.6333025042551763,0.6474890515667096,0.5759860454060484,0.5250950666752506,0.4769517604559796,0.47238081765736867,0.4886530128223594,0.425954867311558,0.43448411240417917,0.43601011902936226,0.4706957651564734,0.40393221940516605,0.4619660760066588,0.6329748749536357,0.5348455888050333,0.5657829544634403,0.602503014079136,0.8573840623619978,0.7669619470505754,0.7264350677064656,0.9425347912144385,1.0738664141173961,0.9506382788860152,0.7138943926066476,0.5646885968197753,0.4821791718413863,0.7707963793957056,0.6847430861733259,0.7658698912826029,0.7897177092130196,0.606272640621612,0.464710357920651,0.38386608347032314,0.3840644724848845,0.3726966209297172,0.41761351717352824,0.5985399180292442,1.4409845238576473,0.5548366506973185,0.5009839284538014,0.8241099276247067,1.0206006967906223,0.4368525441347734,0.6510795659300852,1.0100596974902514,2.817072241470125,3.4468444881764477,4.1829375351892555],[0.48792305657311325,0.41245145822506213,0.41933871051278165,0.3062040856114812,0.3947432628815841,0.3397974670610897,0.31154674204109206,0.31659139812236126,0.34890575662465284,0.3078661586225631,0.29937884813998744,0.40321543220129213,0.3145320708436246,0.3158286116875887,0.3698437098053302,0.3258901093052649,0.40584257019242864,0.39126203278828275,0.45768060771959956,0.4283770897381797,0.4974574965308735,0.5936906897808683,0.6867624372024267,0.7468039356107273,0.8265930683323043,0.5781468555282971,0.38518348833609806,0.37093847779138894,0.36248208436307544,0.35872048115067073,0.4129424260008357,0.38034747241105094,0.4684523227359175,0.43847638218489304,0.37720301651517046,0.3659088557086273,0.36037974984029925,0.39386939114460684,0.36703956135606886,0.37401835776657627,0.4352704359046325,0.43984096167519887,0.4427879500615476,0.7673014343639498,0.986760445769178,1.3317490631264228,1.5601992686169623,0.9068357780855115,0.9522770727534666,1.0956213019499101,1.0576370972327416,2.221372642815755,2.046088916591481,0.865372018353774,1.1729562689910311,1.063669023305246,0.8840209936268112,0.8064771973241657,1.0617681980068616,0.6928646598197653,0.745903689433642,0.6674700626738544,0.5065262044621343,0.7150402717116161,0.5270244369507305,0.4923360157837571,0.688354197852599,0.4678590053927015,0.6870056570446718,0.5941871661371754,0.7823518420257745,0.9912846812643207,0.7135631226313195,0.7568114760004561,0.5628024899057996,1.177704382658701,0.4603075564331494,0.44991571219581916,0.3921177165725238,0.4386212820722062,0.40423188205782457,2.01425918082109,2.0137134271020245,0.43641971486561637,0.5381232776769679,0.44416418223345394,0.36667245467351484,0.4290913802256363,0.3688305032184523,0.4423013829956765,0.43411604310572144,0.7509860060710227,0.5770620923986955,0.44895348662340545,0.4362293589918953,0.531952787102211,0.5278824241967628,0.46243142430318135,0.42033487149058185,0.5998067619630095,0.4260165136568601,0.4381127736312085,0.3838745731995917,0.4072844420386826,0.4534689894438235,0.43346947478142905,0.5437125087320336,0.4209987864542377,0.4449771201443066,0.7088586590761207,0.3587523324546893,0.3644980209926507,0.32820075077990024,0.3340723574044953,0.32570621159218477,0.34821251730874325,0.37794182697852685,0.39960921244969505,0.5152947487343591,0.4421319977602969,0.4318361068285344,0.35458373336744753,0.39635744806028306,0.3122528742798961,0.30186817767763097,0.3281798712487355,0.348841069745038,0.36480932680770906,0.3372862240034156,0.45072474496869264,0.4495985341508412,0.46034870529506156,0.4502881054774435,0.5164630091755035,0.48000390451991737,0.58086018867766,0.6854983338687186,0.4563571635567419,0.46974817052115686,0.4795880464525073,0.759144784437523,0.674992147987838,0.4878359331571723,0.442446186567553,0.4043510686349814,0.3777298212930769,0.3473916015874691,0.35443240796551584,0.31761187839460375,0.339745299966252,0.40831694550239805,0.4694039012138877,0.66835969382644,1.4802284846183764,1.0993803963748205,0.4837150740740631,0.3699107003807202,0.3575050048078712,0.34811745239138814,0.3562851486710408,0.37099126676770255,0.3487045879667004,0.3895733841713494,0.38401569019824044,0.5331166713150544,0.5671369562712683,0.7081120941708303,1.2455406889146294,1.0588584947034216,1.0026215965079839,0.5678977748847055,0.5085144575509929,0.4587041386661135,0.4324527370966051,0.3607205469885865,0.3786663381391715,0.38333018956156295,0.5879246426463166,0.37813704057806263,0.39072370349863483,0.7598416884574777,0.3813831445707166,0.42050880318674383,0.47707817452018775,0.49781132752439367,0.5318954056308934,0.5605666290600849,0.9324783958894801,1.5926562046351533,1.1964859297177537,1.2211766333904523,1.2503710687000187,0.9185825298089743,0.8050712989422057,0.5874066163279259,0.5863991524200198,0.6057180267850802,0.4546156092787586,0.4654779918067328,0.5726773902297966,0.3871486667646228,0.3872027056762271,0.37975551707274413,0.3867069313638845,0.3795025293933255,0.40601940663004277,0.4718310224640587,0.43024016793319236,0.46696438711497545,0.4848704108589552,0.5201595103746368,0.5449540312051434,0.6100809014001184,0.6920801438222393,0.7834646645734769,0.877899347596533,0.9243065869046748,0.6439337979080898,0.5280494461981111,0.5688143050146056,0.5637941029477811,1.8757818749626118,0.9361530408578002,1.2643479996880682,0.6246000421112571,0.5845591739782321,0.6245787532476258,0.6495204297238792,0.5610105716391521,0.44852827083082736,0.6660519497828827,0.7059553877237925,0.7572282285915798,0.5546809731479723,0.8385184965675194,0.712783836800653,0.7031439789511232,0.9554133709614886,0.47965356772872353,0.5616175206632592,0.5551348491259421,0.5998402115746024,0.7258831918703298,0.8027166391961547,0.7454407160898908,0.6428815029413127,0.6014987032077479,0.810588648465934,0.6863811343434144,0.5249235277042034,0.634711928504296,0.7456181085231743,0.5504506475840539,0.5655968784728178,0.757506957863947,0.7949491974760216,0.6106121456789095,0.6159944849784071,0.5578179677740809,0.5015907849810286,0.4618376075071986,0.46112442977182294,0.4700983607541566,0.4220309762108728,0.44067630574592587,0.4304841703028684,0.46906928889041155,0.4200225234263638,0.47542651599269165,0.6181739582778,0.5203986177887634,0.5655585695598947,0.604578700856177,0.8527030585333759,0.7750293964411226,0.7088602760339415,0.9621252275197555,1.122688633764163,0.9051054983555037,0.6909515838025696,0.5820722310278438,0.5180763931641611,0.8121880133295779,0.623108109470346,0.6783495402656312,0.7168750340141089,0.5710741527939156,0.47537021753877234,0.4012656992170792,0.3821078717001771,0.3719789837679081,0.43622094263519745,0.6057912400169171,1.388498531374856,0.57343699333128,0.5156603379308735,0.8339813922623428,0.9949841437959022,0.49852696631056415,0.7247510870522922,1.159629322684873,3.027363647369269,3.82000423408473,4.697454534812291],[0.48597353324228004,0.43695588389533274,0.45095925432803613,0.33111737447644163,0.46029746978869435,0.36424154181130913,0.3413534802580407,0.34062438053494326,0.37835909935755346,0.3734588575286029,0.364393286955649,0.4425633556316476,0.38293753216609316,0.4047468905818203,0.47638958712403967,0.4118149323912036,0.49998553346461005,0.49032258194460315,0.5529643281141573,0.5285256017680723,0.6107644777251189,0.7082312342535311,0.8089873854888602,0.9085690589165109,0.9205627028036969,0.6941370672888124,0.5059306509140622,0.49201055995117166,0.45488606522313213,0.4541232178440016,0.5008408294950142,0.4294341802388535,0.5312897059750703,0.5147801941902659,0.44697430589398807,0.4561580860243864,0.4362024765648528,0.5163542566079135,0.48707791994746646,0.5104406753414208,0.5891268681025024,0.5681239574043485,0.5944766303172676,0.9234130344187282,1.1503157069331134,1.4560312304771617,1.7497281391363715,1.0926109950591418,1.106034151408136,1.2478191995090335,1.2145883007426195,2.1900492418338464,2.1847963053498805,0.9686078550955801,1.2715011581835587,1.0739497500770914,0.9223636153767496,0.8901068367346217,1.0530969331004136,0.8022296693312553,0.8242693057261583,0.7081461797343398,0.6067166508472168,0.8103067979274076,0.6374431208325884,0.5796032952553142,0.7844442412765915,0.5721440966431229,0.7714334503392934,0.678897936464744,0.8034559062230944,1.0485050705213368,0.7854951282607582,0.8673312300220638,0.6502956145197447,1.2060273894546205,0.5730992500213214,0.5567595180351917,0.5038688154744648,0.5148318896934935,0.46882456010520673,2.090707774271599,1.9994532706215087,0.5587282870385913,0.6217040252890853,0.4760511774952115,0.4805120490018703,0.4925048680315789,0.46414655601296284,0.5167941625557321,0.5368063474565592,0.8676696949512316,0.6929704929080653,0.5420543354161959,0.5267590645203668,0.6213418829600686,0.6194771391283219,0.5283531446149581,0.4716457836505658,0.5982496668237461,0.4578860470565298,0.4730918558584111,0.44484007751951943,0.4394145900752128,0.48949263413839106,0.44836429984748083,0.5279309675006538,0.5060150026609697,0.5273950015746186,0.7325162552301615,0.4279098461912967,0.4438450796224158,0.38624801753634014,0.4174349700873195,0.40442158952738594,0.44643975309925005,0.4859342371054755,0.5160065504639821,0.6213961212833482,0.5395749314274483,0.5401005348907941,0.47447569332321005,0.4952958750791725,0.40147989698394443,0.36884316453689986,0.4340825207929768,0.37473828499157996,0.4213002715951105,0.403092974279164,0.5160435289843264,0.5461506718841527,0.5321440633056599,0.5718731778116797,0.5685459947319365,0.5787671856265733,0.6911944894674018,0.7586416343699105,0.6173593799240493,0.5861804834330653,0.6272383338701351,0.8745071324546129,0.8413610982487881,0.5994887540780821,0.5658782039943491,0.538102438231647,0.4979619366135834,0.46580910408286463,0.4515674928364097,0.3887868500025453,0.38845741080009166,0.43625335711970786,0.49904804242910955,0.648500618403304,1.4470243402760696,1.094823786492092,0.49485146985944056,0.4141887833011521,0.38291658093236913,0.4022795566441471,0.4128563166867525,0.47672508790519935,0.4497552591433228,0.5248652257916693,0.5213091640627899,0.6203456390410084,0.7103735185606554,0.8841512871961135,1.4595426142764385,1.2148022804980192,1.0851618979556767,0.6852679130692344,0.6302951871621232,0.5752545818138209,0.5477922618115479,0.47856588457949206,0.45450655264931433,0.44495607534474896,0.5837148632851837,0.4811690157425654,0.4568638813618709,0.8965262501943853,0.4753933027393894,0.526838580710041,0.5865971196286013,0.6094077422188701,0.6783896185058679,0.7226935761373031,1.1002137937754102,1.6531703908531707,1.3736770046009068,1.3316828657135038,1.309233839478411,1.074422732280593,0.9465581927158074,0.725060771893541,0.720285608893666,0.7119315872111945,0.5738060657959005,0.5551258115074102,0.6268199349171012,0.45080062118750586,0.42436672305290646,0.43109724843608294,0.4242771958722621,0.4035581565956985,0.43595470934162267,0.5005903024581405,0.4519841137927777,0.4912243572797082,0.5090052420962526,0.558607951069445,0.5848197471978052,0.6337827861383286,0.7010266713207036,0.8338972117833733,0.9387611311616301,0.9484802593190897,0.6425266754933263,0.5195702270766052,0.574384532956385,0.5992117892836855,1.7335386190179278,0.9457383216908994,1.2268738204851568,0.6710585147054905,0.6301346218367008,0.6715852857915947,0.6859675773443277,0.6151516591675136,0.5306070642467505,0.6825478710319434,0.7733392600528075,0.8049891371401193,0.6134253228822154,0.9093350404290013,0.8581667323806088,0.777265129378967,1.0403756137990428,0.561403717532518,0.6431863775756644,0.6147976083108344,0.6003517273369398,0.6987877771465775,0.7274638497207921,0.7136373342165017,0.6215879049115988,0.5704220759733378,0.784801208115468,0.6606497246192281,0.5345180021025914,0.643204182479493,0.771554014770992,0.5731923965887942,0.5848642226809966,0.7813622959706663,0.8525155951259692,0.6176552544940982,0.6224122174292401,0.5666087850023376,0.499682767531719,0.4757023310763417,0.4726544578770556,0.4871441121598761,0.44745178800363794,0.45846868380643174,0.4643056624717149,0.49406585407399106,0.4509917024890518,0.5083092498977935,0.6722351992169668,0.551512459153481,0.6223287901360106,0.678464768904405,0.9022713646770151,0.8105671845524557,0.7238149256817478,1.0481103065967219,1.1785592338598836,0.8684647280659374,0.691221591092167,0.58564172599739,0.5459873260996723,0.8130794119517002,0.618059613096061,0.6878192900021566,0.7519157940692079,0.6226678194116075,0.5116199732723812,0.4650031855284525,0.4519543948604132,0.4096337717745338,0.48006102903063547,0.6062414798312695,1.3332878246062128,0.6280034765978717,0.5333713255310328,0.8207717241579767,1.01933681517594,0.4947172804193796,0.718032133816652,1.0562142712584706,2.9111591710404983,3.6326104712606497,4.464171310080272],[0.48902928276571295,0.44105088362843103,0.46958346308221594,0.32287952930047553,0.4356015366709796,0.4416040245785744,0.447298544896319,0.47035777263671075,0.5114468053459801,0.5047670737582365,0.5546433112884859,0.5921850304680019,0.533002018119731,0.576304865361725,0.662622512120175,0.5838985337783531,0.6034623459143053,0.5744714636616483,0.6057001810435665,0.5832431309396282,0.6450324999345524,0.7185236556628606,0.8327753637167232,0.9213485805456837,0.9049197377177977,0.7307454126602211,0.5496767366701495,0.5380461771665176,0.5374090080111309,0.5908594624721676,0.6222603830777368,0.5796624312239378,0.6770655481173853,0.6425002809564514,0.5930220570640367,0.5815530477678929,0.5671421419200733,0.5796057164176095,0.5346859372017279,0.5347981552415113,0.5845416759972564,0.5976117950559152,0.6206015789835738,0.8858461149467086,1.1120738357348305,1.4179232596331992,1.656850721286437,1.052721268514905,1.062253193491682,1.17662031704844,1.1224374447083934,2.202147106753329,2.1722183858705213,0.9500064892530472,1.1663176174990424,1.0312089398301663,0.956260828152427,0.910500977023408,1.0441047326475497,0.8456594026850344,0.9027439285645564,0.7884610095061868,0.6994398571255366,0.8634791084702954,0.6900740382916576,0.6624201707428873,0.8329207243933833,0.641681125019303,0.807737372884274,0.732167210140388,0.8309599562836772,1.0606465905526994,0.8141085032597856,0.8786304720236913,0.7229046773096258,1.2276032084682509,0.6523424063318722,0.6479245822570449,0.6002549238024619,0.6151929245186644,0.5701136441346139,1.9562741059918742,1.8695113722877565,0.6037213362287049,0.6974557904536826,0.5634875964277175,0.5642755657939703,0.598296439032769,0.555151206129293,0.6138025793029843,0.6318133177816342,0.9327541374252254,0.7826700518763815,0.6822919501338561,0.6765081155587347,0.7716700618671745,0.7927278799764924,0.6811829038930515,0.6232181404823461,0.6973735825531993,0.5944653577623685,0.6153629963625068,0.5826939980587024,0.5782612718253582,0.5258431572014388,0.5189812590962566,0.5319594059785964,0.5186464511711335,0.48946525416178627,0.7111520971826933,0.42428246821995125,0.46867053484605153,0.46235003669620073,0.45418845633243116,0.49683219889135,0.4725575565864204,0.5341355318381259,0.5224149753606555,0.6495658355616976,0.5878117845215137,0.5748478830269811,0.5596435073333245,0.48909476218957987,0.4156911950223317,0.4096723039472004,0.3840977330009255,0.44053129668510266,0.423194971084725,0.4459961698292577,0.5156067557857749,0.5176507411930448,0.5226070568031904,0.5208243469786861,0.5758084008484573,0.5228175224682898,0.5825422980508373,0.6180764707285769,0.5279381578501251,0.5362164079871937,0.6018794058852528,0.8820734914389118,0.8392344424925221,0.6092719170105583,0.5749652419878906,0.5485140607846385,0.5350795791956914,0.5037956922441272,0.520821576790269,0.49017815546401217,0.532991859442699,0.538036128242032,0.6449450357028127,0.7214738801517366,1.5060373368126965,1.203827532720337,0.6302769701899662,0.558738591425666,0.5395477428457448,0.5369125115018057,0.5212464542317409,0.5126191259137101,0.5112012205161827,0.5075538553192873,0.535816109440397,0.5802624621332378,0.670246090910234,0.7679662125832873,1.3344465661927503,1.0723237475407565,0.9415452155798654,0.594876577578055,0.5633702274284215,0.5372208371211391,0.5405783885036325,0.5087043219681541,0.49549324455384514,0.5285323085624136,0.6529547855591608,0.525378468434532,0.5269270653203945,0.8422871005407969,0.4955530442231621,0.5414975545969954,0.5682789038344565,0.574812252430233,0.6305187294020548,0.6822235691871893,1.020283914053674,1.5844418718639428,1.226054857597521,1.3040235169406438,1.3682440622235468,0.9738831758378893,0.8441425810260204,0.6446933759063043,0.6647422452922027,0.6717735135752909,0.5555416408006172,0.5362148243153843,0.6664349707377097,0.474500314159543,0.48563802865068717,0.46285202544225734,0.4484815798844471,0.4462128744144181,0.4824582897969197,0.509344039259865,0.46383679139998873,0.5162274192133292,0.5321061480777244,0.5551381183472768,0.582563521059427,0.6571100033893224,0.7262982040677854,0.8305109912304178,0.922068159285161,0.9070998129686673,0.6450182068425141,0.5363252175284934,0.5578400338102705,0.5874591293021145,1.8224693536250078,0.9420351802959253,1.2453778593645524,0.6801039475389877,0.6378505269018997,0.6863705588028398,0.7295006525636176,0.6108957899175479,0.5380800950879898,0.6951921883491248,0.766347243532339,0.746958852284701,0.5891315330928683,0.9530815374689139,0.7477305847664137,0.7277639050396867,1.0025576806607128,0.543307315745138,0.7025081285235776,0.6608756643145572,0.692962974009797,0.8617471884394645,0.8641820041408401,0.850711828798501,0.7604968242049064,0.6967557185094163,0.8883614117033122,0.7643861668399052,0.5990086244985936,0.6955307293030767,0.7898118555994522,0.6022986313201868,0.6037438883521258,0.7701020439800765,0.8261170019745745,0.6419357298083254,0.638842671100202,0.583528297184761,0.5365033452439105,0.5242309877350224,0.5318582978163658,0.5009083911659484,0.4576193805923425,0.49020739449573164,0.4634813405676922,0.4939754565429634,0.4662855081101707,0.525834399301731,0.6541290328773118,0.5407563587488831,0.5894131492186381,0.6547132518956158,0.8737862363034881,0.7917397874918904,0.6999730633992541,1.0842249036697449,1.2144171023952883,0.8768292378300918,0.7014187821895109,0.6021784051387893,0.573089618698635,0.8705378214378356,0.5896341056743446,0.6234112331030464,0.6720858795990274,0.5439508470576755,0.4991186981423407,0.4585091276145417,0.43217249611577846,0.41484699408008696,0.5114266716042564,0.6485000213088036,1.3679827500130424,0.6477242660486244,0.5904326954886984,0.9126967485069974,1.0347467456072346,0.5641805196467282,0.7901874240995792,1.296658846339925,3.150082042837781,4.059825037303703,5.119375151187026],[0.6454113914908352,0.5810740507799318,0.5477581147436283,0.48191911747485894,0.5542134791429862,0.4821389930111963,0.5397631595000912,0.5844019921961727,0.5800776392901817,0.7153296183686645,0.7859344375668076,0.7903109603989904,0.910693872767476,0.9391857912310094,1.1145782916347864,1.0803780397757201,1.1458698182366114,1.2319045939467446,1.2975030884619303,1.2685569689346528,1.301592649052238,1.3040101106280122,1.4636918668669572,1.3983839842557133,1.510575526875649,1.4155110495972167,1.228122241469303,1.1633880331471074,1.1583721819585877,1.1393261952209088,1.1935437256599868,1.0741400414345508,1.1562615927191175,1.1966723016073522,1.1896028018214058,1.2308995146034623,1.13753613294366,1.1999687194118163,1.149745108217846,1.1293709388917637,1.1183323630061006,1.2264728065282222,1.2434036587846826,1.2473117383099201,1.4513871490032,1.6179376610018625,1.8618447645712275,1.3956720304756403,1.375859018884826,1.4521220904768761,1.3892436109252428,2.146880010960746,2.244024572737824,1.271622245709518,1.5012971302977083,1.3137336668563726,1.333735126943044,1.3101535344715503,1.4178038508605737,1.5603849393286946,1.5899303563038047,1.4829167304662125,1.3952994551833502,1.4939661274814517,1.3803388298642085,1.3849400110095482,1.4737709318072745,1.3441437893655577,1.4269299912764002,1.3499670559553512,1.3993398459094508,1.6235273729977702,1.4012903343582823,1.4132385760495023,1.368855564086722,1.615846213293359,1.3265490540534892,1.310929899803673,1.277253271506068,1.2820643299609153,1.202950456555682,2.0730127125283966,1.9396633609538252,1.1231965298131594,1.1919858505072911,1.1272521472763093,1.206632800620448,1.1847498340759088,1.2365070569332004,1.2353426062338262,1.261362516417326,1.4830072769484781,1.3136812444322674,1.1879334134827202,1.148249816127805,1.1731677115102546,1.149316476863902,1.0501449423132487,0.9420313504033309,0.9063820853235004,0.9530803866454463,0.9023651659384823,0.9876331119872256,0.9038173189824323,0.8918608409281844,0.8427416947078842,0.7953284977342049,0.786865582513456,0.6870500008155453,0.8658763414031718,0.6155116830208027,0.7461753944980862,0.7030353929185151,0.7930773381366699,0.9078489483535461,0.9218885805263566,1.086170049342528,1.064882266659753,1.283709668930412,1.2282140383383713,1.202210890815665,1.1033700574505383,0.9504274745623725,0.7930284944727374,0.6623958715779588,0.6610689601866161,0.6305170314999291,0.6879829353754543,0.7237219524811873,0.819102265193348,0.802128983073031,0.8266052525053906,0.8232280551386236,0.9012842048829435,0.8343749459027977,0.8549744701642846,0.8078245403535975,0.8748699990263461,0.873494486357796,0.9403488871940575,1.1572502022659048,1.198674941841041,1.087164653086508,1.0568694485081231,1.0836464050472039,1.089492671642527,1.0216200704734975,0.9812637157871031,0.8801291779298054,0.8044824511297878,0.7335168022929801,0.7709751838642273,0.8417056979537739,1.5596931367433013,1.2937881265922047,0.8300846434119841,0.8292862172873545,0.8105043151194661,0.9202092925491107,0.8715000735637718,0.9458785004902686,1.0431767832854864,0.9768951591344073,1.0509032035760697,0.9886093396247281,1.005340961495884,1.0320633173086278,1.5105479872989909,1.2447719012337926,1.0604651457012204,0.8655528230543521,0.8938177523145595,0.9346346683123713,0.9838065691923588,0.986729913413386,0.9403309533659674,0.9994046828386041,1.0647848115351664,1.031791911975109,1.0084176375814922,1.1994563924662294,0.9024282024104127,0.9614615673012546,0.9757502229452918,0.9723240424896443,1.0424975046524927,1.112374217095501,1.2600914479706926,1.714367524326381,1.394657272598019,1.5932836263982177,1.4944507685073753,1.156188926784097,1.0649701490081598,0.9307012226850739,0.9550690613550809,0.9065843227150718,0.8452289419410218,0.7637558334627113,0.8687405496048619,0.6548900778467668,0.6272047234717721,0.6190527293801842,0.5936010731739427,0.5523495486292455,0.5536869324550712,0.5939696802952977,0.5628921916588718,0.577757352181164,0.5999939759175839,0.6559471642450871,0.6686606353727976,0.7039868824576891,0.7886231451281609,0.9292803315444914,1.0271212950003834,1.0181110582293393,0.7787018202033454,0.635721792082887,0.6860059168427929,0.6976066640864005,1.736969384667979,0.97448627757695,1.2294714327454686,0.7559817055059871,0.7271515076089812,0.7877097812860449,0.8372222445687675,0.7516098751087318,0.7246907984441298,0.8391535069337198,0.9113160903725361,0.8964316253524124,0.7764885558491659,1.0987495274602088,0.9701191773420812,0.9091197441177356,1.1928679991509943,0.7449646127727646,0.9237344408180492,0.843233716696851,0.7874937544276864,0.967514613715392,0.9294699136008752,0.9501668961084352,0.8468756568349594,0.740659149163584,0.9222634596743263,0.8275384391642351,0.6368778570297384,0.6996911393794,0.7832377547909789,0.6186191943195654,0.6311477953602161,0.7951490999006257,0.8499571128215098,0.6872138747185856,0.6870089570465707,0.6566456261440796,0.5941926028127374,0.5744581508605102,0.5901460105810784,0.5855410204001736,0.5515453190789603,0.6048932237710716,0.602323322867122,0.6256648302821011,0.620330708616464,0.6929721853216276,0.8028683689807872,0.6898734325399737,0.7762508141570584,0.835870552185913,1.0274371048483615,0.9348274746302493,0.8318277353259549,1.2087319570122892,1.2715431118477865,1.0075807658410652,0.8556834258083592,0.7211167149416717,0.6846248499110459,0.9562854464169264,0.733693648624171,0.7824009229481343,0.8319154402486291,0.6978871679297709,0.6472675814592432,0.6615219989879153,0.6172504852707166,0.5324332288465279,0.6241724589684883,0.6957545357985369,1.3894547836426436,0.7118141413610806,0.5962919403533957,0.9112082882780258,1.0538133233241576,0.5650969638673056,0.7566246562050167,1.1827368827454092,3.0868184270567793,3.925077308461062,4.9440495159113995],[0.8195137275741647,0.8440034415202196,0.9988662007031255,0.8459313684664271,1.0122127595590915,1.0547578494850116,1.20658368483443,1.4158762764054391,1.3738481795236526,1.5341079312768513,1.6685829804108312,1.7079126235869566,1.832304789495187,1.8049411842776995,2.0514713477470545,2.0531961438436452,2.020315830739426,2.0387668104358827,1.8438671474927348,1.828500736214798,1.733304327419993,1.7166099749926254,1.6488280200605658,1.5951687739198972,1.6001177457320641,1.624921990240519,1.6528497303948433,1.7745849667555231,1.95720074771673,2.0303388270032454,2.111461950098522,2.048823307036772,2.1223165697741737,2.117362046380113,2.0833550196716852,2.047581912569178,2.0110013222330143,1.9028595262706953,1.7590000813210322,1.6949433546865098,1.5503687656025145,1.6841752092919322,1.6621234085869816,1.5728930968810728,1.6162935850825235,1.718615592138538,1.9156591290952028,1.5745089687452336,1.6013504954088298,1.570896482790668,1.5760345872437231,2.5030169763951173,2.6103037865852565,1.7291460866777348,1.8105470346712986,1.7881142055599786,1.739445875312538,1.7792202966016362,1.8498251308045008,1.8627718632657808,1.8698398036098383,1.9196523689070348,1.965771956116227,1.8945090010751644,1.7486818630570795,1.8720633831641218,1.8703401816475809,1.9748858651333672,1.9536028512862103,2.0734651556986083,2.0104334144262297,2.063495734605783,2.009377313485724,1.9065944674365871,2.0413348596816947,2.0440494682885295,1.9741029086089408,2.0344934443027816,2.012709706748519,1.9326657759620163,1.9460553871368091,2.5260268336164797,2.398165516370026,1.8321929201301197,1.7922998933864405,1.8659455509796805,1.8996446176879707,2.0119860242630505,1.9791092092906242,2.0722412148674385,2.0596218869682232,2.1625605925988416,2.1183344700044437,2.0858953593304665,2.0866517649002034,2.0370907845484685,2.0357854825845694,2.0282945892863165,1.9293898523958382,1.8906238114843457,1.9622309003831113,1.8664856563325178,1.9172156728039647,1.7726069129700204,1.6769461780243398,1.5847204371731713,1.534605275482922,1.4570857917633457,1.3425664711554142,1.5245497727997652,1.3344139980654905,1.4621564209704376,1.4519885318943262,1.4448432731936223,1.6362305890675268,1.4692507922818556,1.65237747262692,1.404405782077205,1.641846825288014,1.9048597489732482,1.862338534408137,1.8168592613568149,1.359981485666602,1.3141888636301424,1.2567624415268135,1.2109447638771997,1.2623799638071547,1.2815836907651328,1.3250815012818458,1.4524600720679433,1.277386330906859,1.328571616746866,1.3334549277877792,1.4958185160089623,1.3481127755612967,1.4074182153648693,1.2273769075548866,1.1952795328662502,1.141462236489011,1.2931515745267363,1.2246613162698012,1.2894906237060113,1.3747203130537646,1.4552061749072842,1.5513837296659507,1.7491910031015407,1.6413227643752513,1.7327870614873404,1.6639295339961329,1.6368679250140798,1.5816706020424376,1.650699438577362,1.6985596447049494,2.0972935031560547,2.0395422811195756,1.7929795477586992,1.7944749726596183,1.7487236995191553,1.8224344622975888,1.6803811243191982,1.587532521963451,1.750518839738996,1.493015307221004,1.6189594393020865,1.419853313234554,1.267552311717333,1.3179981558106575,1.6442261014376758,1.4197874038106295,1.2829470954814919,1.1960151497282878,1.2626174791517635,1.4225345004768004,1.585834040762917,1.704190045075305,1.7574388448340985,1.8571913539013098,1.8617411564241098,1.8122399936662343,1.7895426433018913,1.7561801890460906,1.5945272757343556,1.5616688994151497,1.4974416180678536,1.46746904136697,1.5266264658261117,1.5763702716806338,1.6044172785816546,1.7901737485645108,1.5573141960113803,1.5976771600956468,1.8222880362536273,1.466784870208334,1.3923719360025644,1.3190128719120155,1.326799560077481,1.2656676686532427,1.2635553599651925,1.1637137851997197,1.3683405364981325,1.218631752469426,1.2941569412887395,1.2244532563614798,1.087527814358634,1.1390628543759111,1.1642031617584405,1.0197273244566545,1.0291046589067587,1.1037021481404314,1.0367545304364405,1.0103489550114435,1.0238609717613345,1.0799215289956674,1.058867582707916,1.1141043941554827,1.300103565617964,1.1877186023220856,1.017017434948381,1.006396737925289,1.0421353218807408,1.0929078606219023,2.157259181400704,1.420541901466202,1.5048537606842074,1.2628395249195756,1.3318811745663095,1.4370526969696915,1.4456389466860302,1.2735061969067627,1.2497527231596572,1.3151584270623577,1.3116887660658172,1.232535274827566,1.1942295158931264,1.4678984210064234,1.252623870050735,1.2294270137867616,1.4961042382323495,1.1575897765629264,1.4286371951621166,1.402701622198013,1.3993369431452263,1.590723299985917,1.581521593779941,1.6591723810574737,1.4951287832042535,1.4249181667257145,1.6399742609638945,1.541864538254494,1.3189113750187296,1.365393961446931,1.3891468194755485,1.2210444605756527,1.2116525283377915,1.2710475182720233,1.252900395806287,1.122805970278955,1.1396898787661651,1.1062660118691916,1.1428133880683233,1.2027394232569475,1.1806266419833857,1.0648817492785743,1.0460830029491748,1.123507772133066,1.031860575665339,0.9851822742414533,1.027949187379483,1.0681470309421432,1.0094311617991172,0.9609697128521943,1.0805332699340366,1.0912433503068346,1.2513327280997282,1.1732047695201215,1.134859529199365,1.4740892920215733,1.5429420893678878,1.178593248126586,1.0673388405920174,0.9962525977328548,0.9877739679380456,1.1951824351532747,1.0107786414339104,1.0480732550466945,1.0356259055174695,0.9790578142758084,1.0381717145844114,1.149012405860857,1.1589983115887486,1.0947540642853,1.3119438835634443,1.3840507307300596,1.8895031879279385,1.378697276578092,1.236141602305949,1.5460986973615987,1.6586754064233993,1.162326250422464,1.3333385209596929,1.6786981794868667,3.42848794904311,4.394296507466128,5.66131809428407],[0.7880421007725052,0.7565919238000827,0.8527256654094746,0.7246087064813406,0.8353598451427816,0.9678871921409984,1.0416809697935752,1.178393048491818,1.1904704524942742,1.2354200350069244,1.3598927125055156,1.3815553442373878,1.3476662972570392,1.3509125412454712,1.4914281069487603,1.430959022299053,1.329743011083533,1.2692665332116306,1.0716240040673137,1.094183987792551,1.0339119819598876,1.05818462757206,1.0978573103971525,1.2025066801221975,1.0400948066380853,1.0222808294186507,0.9936925654702893,1.0788188649301875,1.2269818534359247,1.3660895059656635,1.4209994486454587,1.4292519391989729,1.5286502083521896,1.429739161898917,1.391813898740082,1.3257877152186297,1.3396840503377734,1.1872511945651676,1.1201476408277151,1.0754624286982746,0.9778541857281169,1.0059538493942668,0.9998369753511236,1.0397422717236346,1.1881188727933547,1.4217845509960432,1.6029899530873206,1.1241971123875412,1.1767627166735644,1.218263949860002,1.163320761427405,2.3293266688906824,2.3332146362627437,1.2424257536249668,1.2754694803387794,1.2657043479508836,1.2271606340693904,1.2179395974053338,1.276338176362281,1.1881721276860264,1.2639110478222835,1.2566022761186049,1.2750163301213555,1.2970974940476196,1.094930867901821,1.162183806206035,1.2138533975255945,1.1828618868363177,1.193408323676517,1.2872707115139206,1.2176404227577364,1.338353677677683,1.2854791702772588,1.2022793807203014,1.2860943746211453,1.573261128772908,1.2214847051034912,1.2744031616386344,1.2539583734817317,1.2134718962531108,1.2564188036709103,1.9183634992917935,1.845459930133457,1.2491471239668366,1.2685291202148372,1.2552227084205696,1.1992891037669442,1.3143206116901243,1.2245855592075927,1.3408768085424931,1.3323784344940137,1.4941668517968298,1.4394212680091956,1.457164224014817,1.481682244097345,1.5283715542700673,1.572461281212101,1.5118608368510942,1.4798073109612273,1.5795919237418958,1.4570882018665543,1.4115528810530196,1.363013332433797,1.3179582254209132,1.1799497953869875,1.1683307118352475,1.1783441602831355,1.1166363510131085,1.0624675664243897,1.2310887241817459,1.0668555731488598,1.1363841861479889,1.1422318031770087,1.0753829239473973,1.1691555340860769,0.9997933984999514,1.0523151325022198,0.8759763430791572,0.9660218244323375,1.1262436405153122,1.066372812826519,1.216973797708845,0.9037709700453008,0.951713761404106,1.000032592033766,0.9025876358887092,1.0289526706052277,0.9692468926108982,1.0215910849388932,1.1069986784818096,1.0087481103319524,1.041856254241453,0.9939560956153998,1.109378862445278,0.9912576667141765,1.0397686904074694,0.9322094731416434,0.8979791182022278,0.8656022994392218,0.930212085352091,1.017991013061676,1.050256542777962,0.9038684579850357,0.9634794985589993,0.9968861659454318,1.1264704016246847,1.0716164796917753,1.198799673390332,1.1980556742006834,1.2591683183326245,1.262195250120655,1.4044149397788686,1.4583911905321763,2.100361780972034,1.9120213390772127,1.4625798764729014,1.3954882079158175,1.3360764396805378,1.3255761126778984,1.2194336556383354,1.115792091439096,1.1762975817688175,0.9989478896106911,1.080497481809544,1.0006108465796912,0.9389153300107964,0.998636662642833,1.4070591469705642,1.1778731837139502,1.04459819802626,0.8743387582752588,0.9011072347254638,0.980692303571479,1.0733253890671026,1.1472272514685413,1.2027313393210175,1.2670363811134366,1.3151344240561167,1.2234446380336104,1.2404421117502207,1.2111102155729736,1.120975363932399,1.1037022682061102,1.0512313151743171,1.024624245868835,1.0571614063586088,1.0655723223833788,1.1975475255846484,1.5371655779178364,1.240835925621899,1.4485499917464977,1.5097371656518042,1.1463173243234395,1.0715248561677975,0.9904137794858748,1.0142612366666797,1.002658899673737,1.0169235155521457,0.948984825291922,1.1721991797397093,1.021884785933033,1.090102007018182,1.030107350545809,0.9120746548663511,0.9616896841307696,0.9888592908882684,0.8739267045993131,0.8751474636212434,0.9642937334500311,0.8999750838483451,0.8545935296995091,0.8863232889606023,0.9725660972014492,0.9101804716859955,0.9290021320495322,1.19783593023038,1.1090132596048599,0.8554645755069454,0.849868336504402,0.9126430573594017,0.8802197422937706,1.9969747615146214,1.235002235338101,1.584374283827479,1.1238493629844937,1.1202815914404687,1.1880097006639019,1.2018165568059263,1.048628894935442,1.0040510503053377,1.1040782588740128,1.1364308114544461,1.0604631850650468,0.9938873019180178,1.3013048124001687,1.0730360668405061,1.0360123465577227,1.3076257424331805,0.9459993708072355,1.189755280751405,1.1508032717913401,1.1907639765784512,1.3532761709253323,1.3526546547095177,1.3985461843859877,1.2758785823592544,1.2333622842703738,1.4320947921836322,1.3086553608569853,1.135182347664829,1.2098209402289035,1.2591684612414629,1.0973908500287266,1.0932633223262136,1.1878866442236866,1.2036465481501761,1.020941807790444,1.0361816814624107,0.9707122428386371,1.000252186643028,1.0408569284845381,1.0396074632939936,0.9332970472105558,0.9001924605391864,0.9570962956915273,0.8680906237787314,0.8322380819817765,0.8726080945420507,0.9057952726581524,0.8488742674660378,0.8139770548865582,0.8835025606262468,0.9241000530757174,1.1025890800182043,1.0032637645987053,0.9555586448682695,1.277166571548531,1.3671259682770251,1.0041798207581585,0.8669835120570643,0.8557066151989211,0.8334678919577445,1.007347737281605,0.8340704584159547,0.8535891035405938,0.8971194044975542,0.8519403534867189,0.8954482691470522,0.9450137661106993,0.9404639855162533,0.9117914162910631,1.0977318506889588,1.2114438304668538,1.7141803102024105,1.1794567913665357,1.1178444255964974,1.4391600064321433,1.4564267285718508,1.083098799694083,1.2857031650919524,1.790684072670189,3.544148990074964,4.61543466947825,5.82935134708171],[0.5905359659882164,0.5066057958045085,0.49212330877998844,0.3858625574982454,0.4525904459947218,0.4349998301841976,0.40388175173704993,0.4301701794393667,0.46821555911524315,0.489899026536711,0.5573155405815903,0.5918333901325389,0.5883742084600069,0.6069338789776371,0.7840970168881874,0.7168397524459327,0.73108815544615,0.7861881572422491,0.8258683375707141,0.794785326432346,0.864154545176352,0.9000957354702461,1.041304446264744,1.1276341510849017,0.9827052814815062,0.9013529022679577,0.7130383187429197,0.6887926827611036,0.7067054388651036,0.7325329692604717,0.8499287292426005,0.7479828832069899,0.8899597145107498,0.8620765646574937,0.7952514461944411,0.7959844284083047,0.7207091748777097,0.737661987569559,0.6916670163482509,0.6830859437202473,0.6955844932929686,0.7594782551388124,0.7950678633123065,0.918110739740184,1.1395360862882375,1.392470041262589,1.6245637280546916,1.0695275894493357,1.0791210254603143,1.1657711236815216,1.0950657137018622,2.2378660264020476,2.2377465360563282,1.0326438695256155,1.1000290707336622,1.0749073103290971,1.072037403732386,1.0057323697248017,1.0860234213251307,1.0034650787132047,1.097066063219332,1.0209776866688698,0.9832349028316978,1.1386572742015246,0.9369090709388516,0.910133176414697,1.0654670279612803,0.8981649630234361,1.042620207262399,0.9567972475610813,1.0051506113010849,1.2310408554591785,1.069221943216536,1.117772279015603,0.969320933234359,1.4343633119415795,0.9139366320716831,0.9177170515690838,0.8456459738104368,0.8373714407541841,0.7747286320188421,1.850315891180792,1.8260568612883168,0.7027851875707186,0.7975095092957025,0.7061507085886669,0.7447472197625352,0.7792775619134217,0.790142012385588,0.8540426023068831,0.8840730344538651,1.1822525997193598,1.0311723908656927,0.923354241611822,0.8746946085164095,0.960609305929034,0.916525243631249,0.8040198363630893,0.7044017269219245,0.8071116926200032,0.6990392722292122,0.6368801921681362,0.6494997314022968,0.6100387731934156,0.5353839751137628,0.5118346765290936,0.5425061532753189,0.5144230880462669,0.49510869451486017,0.7244058466392016,0.42813809388540536,0.4964364403688317,0.46388203373468945,0.47582251450661806,0.5399909334181335,0.5178130020299592,0.6268753656208933,0.6123636774210207,0.8097473239870965,0.7507122690457531,0.6962950395129023,0.6665257386169484,0.537586107049872,0.4343488399674388,0.40944321006517753,0.3961648380154725,0.43691341029986347,0.41497749681682544,0.45922676295945725,0.5438595352165685,0.546120537287678,0.5455145734721978,0.5570287962239366,0.6075229843181991,0.5589561144442681,0.6129107110261907,0.6513110877409983,0.5767529733142838,0.5959254273705609,0.6251723829569987,0.8973778318236386,0.9091989682483768,0.6884945362954352,0.6509317690759403,0.6445491890441198,0.643836141400046,0.5792133514446952,0.5793382060991926,0.5293196505745131,0.5127727957365531,0.5234087588393108,0.6227643746444455,0.7517369847476784,1.646605155315003,1.2941123403111583,0.678828395365729,0.6003236652059574,0.5576852178055569,0.5969566735130949,0.5324736051718875,0.5561905127873755,0.6086983049801598,0.5760522086928883,0.6294643601492056,0.6420087550261251,0.7088874342462108,0.7830248989056846,1.3583119780402295,1.0888672942133009,0.929588303444517,0.5994035537278115,0.5687811779253114,0.5668105662837335,0.6019183699411896,0.5907205622733926,0.5572808064748423,0.6079266676409794,0.7532115685308409,0.6421341074622368,0.6410664854512251,0.868569152060922,0.5362832032589172,0.59576441085193,0.613696441860755,0.615573233439875,0.6966434798070769,0.7443170304950647,1.0167969562086423,1.506355808688987,1.1746939697505572,1.301553714482595,1.3868719232096984,0.9599929854594015,0.837199785972506,0.6654660011066359,0.7019689732431268,0.7006708673555444,0.5782680898370913,0.5552787147885214,0.6648225348740147,0.4809915893293818,0.48899612302829015,0.468169916157771,0.4516482262279662,0.4413314822925033,0.4740248813143619,0.5243280526508148,0.48473859484055565,0.5253783656883322,0.545832288407903,0.5952931783519215,0.6123835079580349,0.6479634279018867,0.7336246918779431,0.8344594133314749,0.9566057237059784,0.9511266983563251,0.6905559075224458,0.5610486685125085,0.5935409561006574,0.593520247635485,1.827718150362916,0.9573074296119323,1.2841265468702034,0.6944962811445067,0.6626525651272792,0.6987289761581391,0.7321628054216814,0.6205458016403932,0.5393999626877495,0.6846509105120411,0.7649494727387954,0.7549040971527086,0.5977394938668347,0.9684176330050931,0.8024345595397828,0.759692992518619,1.0514927881520866,0.5621702736762941,0.702777728465702,0.6602504157021577,0.6813489882603762,0.8417192615811756,0.8672108096991116,0.8574169743093398,0.7424136065269744,0.6907790042674465,0.9106598400767563,0.7682562927190539,0.6127945211851552,0.7117262111807903,0.8186254668561236,0.6098956115884763,0.6157395696318577,0.8137718765902737,0.8479835389359321,0.6258476226633813,0.6316883156304334,0.5882526456071813,0.5466820709073109,0.530821415612895,0.5384291527282673,0.5199768557707876,0.46953664538752404,0.4873541373724013,0.47366599050827485,0.502576004968175,0.4723268757873101,0.5228920914841533,0.6750069844074775,0.5741421514200096,0.5990533285780388,0.6701156197866969,0.9029328332538792,0.8111237430095753,0.7518128502182556,1.1157947252407348,1.2268426249762667,0.9120400416661222,0.7561522758403991,0.6356144225872812,0.5944909320748558,0.8608546891735144,0.6633480560668844,0.7227359683481479,0.7493779961238876,0.6083876504571369,0.5307128622528348,0.4821775630630598,0.472286844297164,0.42542349835323917,0.5290949143191213,0.6988360340444204,1.4464226268040992,0.6540671894875175,0.6146871438751411,0.975007911171584,1.0468499080483362,0.586948764941484,0.7964550327287164,1.3921654385652935,3.350016551284221,4.289611073918742,5.371154545466492],[0.5605986663713808,0.45927070480998217,0.4556864627565288,0.3409829895814294,0.3932569826984348,0.40437276235034153,0.34456625314286937,0.34985460462118073,0.380489788177498,0.3298600851599631,0.35261128734701674,0.4204085914246801,0.3741350226432248,0.3838443098848373,0.5200290664291662,0.452646033515916,0.5104073460292883,0.5222750091559245,0.5991005792146551,0.5545447440171772,0.6423249116190963,0.6869946137939961,0.8376967288320567,0.938896033715178,0.8361716341276842,0.7111136853243769,0.5110548944657539,0.4889570781274659,0.4672345098566736,0.4853791343806518,0.5554670353425285,0.4931268718863363,0.6105964205802827,0.5741330370056074,0.5097586273630546,0.5137943275893481,0.47179436589544343,0.5075703148128136,0.4716132460405207,0.4642707946839402,0.5234505668227376,0.5508778126695696,0.571968526566951,0.8031821771465953,1.044939762651106,1.345531591693018,1.5692801247349926,0.9516530380785017,0.9823179534575726,1.084360956001323,1.017219316874595,2.2563760636689305,2.1641606017176547,0.9458342008058694,1.0498601307327238,1.0487478475404006,0.9911332698972478,0.9220472988924067,1.0567006432394965,0.7841744131444606,0.8670462767461529,0.7606967306261397,0.7020259173154071,0.9164909328955676,0.6954603536367159,0.6518425053117818,0.8540585451643511,0.6344077373015934,0.8441859782615154,0.7067754090997455,0.8334717163203048,1.086670486621837,0.8466505876936361,0.9057928371295667,0.7147014154030188,1.3498564061878908,0.6462898592760439,0.6367202738498859,0.5590328171646919,0.5922008132465127,0.5300815971795896,1.8826905245664967,1.9171742458143661,0.5117223246018439,0.6275698653984663,0.49036231246733425,0.4941991779428366,0.5410324643064263,0.517913103116822,0.5736234790235349,0.5924115573941718,0.9267114382346897,0.7488982918683438,0.6363936494858036,0.5986101827901312,0.703754579755901,0.6510876989748885,0.5678998431009104,0.49613531288318186,0.6499503790916101,0.4846863027260646,0.4652499992319111,0.4603424284207678,0.45671156820782255,0.42206128271281823,0.4110365324067114,0.4842192226347626,0.42178956898223463,0.45076509755270344,0.7018141731136177,0.3645184449858102,0.3885128415004128,0.36376680274350515,0.3710249065932965,0.39542646089714056,0.4198997400219703,0.47949350648247335,0.5117100433538869,0.653391079447517,0.5683814704894038,0.534193511873621,0.4768677667811594,0.46806057759651837,0.34646889840976686,0.3205365055682476,0.3460968058351462,0.3647081656478187,0.35347301501220474,0.36138967815395256,0.437165792739959,0.4560212539495419,0.44805522831466255,0.4638580565325334,0.5124952277571991,0.48172783754844956,0.5484603890239275,0.6432152130264822,0.48062682883532776,0.5141620502915148,0.5525878768598632,0.8650557932572445,0.8086136814654065,0.5754484414596143,0.5344144026304831,0.4938821909180203,0.46263008101560527,0.4253060190707282,0.4143074213729906,0.37754044021718647,0.3777753926237588,0.4283649920734036,0.5235570676912084,0.7020030035077707,1.6229868508086196,1.2042414135596944,0.538750870061734,0.4220324140713994,0.3995581318241347,0.41208820803592056,0.40040700438305726,0.4267363384532497,0.41530615878758637,0.44996295181500734,0.46654030141103986,0.5454194181580433,0.6387569507527928,0.7238739059400042,1.2886220801992838,1.0481280460687548,0.9470069356162413,0.5596213998539451,0.5103216587119964,0.47858308926750204,0.4682762560082951,0.43139115378143356,0.40777583231849895,0.4364392718440608,0.6367030449110964,0.4572312657178151,0.46685113506851117,0.7719325669471865,0.40221914176724954,0.45280415757018005,0.46924175707960825,0.49829417151303995,0.5710004945414185,0.6068638263159047,0.9534344657171359,1.5171728181302584,1.1391529558600113,1.242436492184867,1.362448583645389,0.9309742210154017,0.8082089399631274,0.5959757253060677,0.6066130214805879,0.6343132394338082,0.4839828263785494,0.47228818096403746,0.5744194891459748,0.4087914442059433,0.42347635116525695,0.39695227631136937,0.3954333279657097,0.40550648187136723,0.44086638470264883,0.49151361378873515,0.45059535530227307,0.5094128844580184,0.5186576429186383,0.5551728650771294,0.5815568398826364,0.6303972208441864,0.6988458804627172,0.7727999423041002,0.9429206275393381,0.9483313347067928,0.6444221961591687,0.5254771307869974,0.5736818865586187,0.5653114206623289,1.894469896586508,0.9756625557036591,1.3145207426902816,0.6740983647593375,0.6355970286581872,0.6694988429632858,0.7056462752908603,0.583290327242533,0.4650765205548239,0.651053534014987,0.7121051162647919,0.733813883364154,0.5399681560381606,0.88866173807323,0.715326390129346,0.6877818559427792,0.9672271502167312,0.48065908923883793,0.6092301006288353,0.5986823319003802,0.6463954856200237,0.7823945111816778,0.8425925212082682,0.8036949447779321,0.6989174979554291,0.6548109433328382,0.8883710729940546,0.7251880911843273,0.5879426501562597,0.7071575343561429,0.8167448779721938,0.6037813724618295,0.6244490235197881,0.8344964256824188,0.8569363870794169,0.6244673424285594,0.6361095228221171,0.578897522820606,0.541178992639727,0.5186258477012542,0.5214708545736579,0.5102126407308013,0.45192153779479577,0.4562428738670424,0.4373761704754068,0.46115901698862277,0.42145424840319246,0.4637535771114427,0.597331647687722,0.5149148671037495,0.5347274890458327,0.5934077681319453,0.8604470501063216,0.767118299842325,0.7189008758450504,1.0316650993558951,1.1795411225148413,0.900654657964385,0.7068563114830317,0.5922550545232371,0.5444217412719383,0.8159828788806094,0.6282473942142792,0.6851326897303739,0.7324563935316258,0.572031319064234,0.47917986540243457,0.4157716638462583,0.41536958230362636,0.38468687028414444,0.47122218581448766,0.6817090963731749,1.4575063869679672,0.605077173636064,0.601510544420664,0.9555500922697984,1.0101445511452298,0.582448786813599,0.8025294549812719,1.3994505132288912,3.3666342019198248,4.281843315462361,5.3230246075156895],[0.4598291257826,0.39834497083827786,0.41057323997592565,0.30260572200239355,0.41228242982284263,0.3447969508469386,0.29830280930514047,0.3115107999147827,0.35637089438907293,0.34221628455237535,0.3549935392230438,0.41820868598262445,0.3797627759572851,0.41051781674674165,0.5134233955406874,0.43903411994997166,0.5310848260291003,0.5393638314124607,0.6111640143663128,0.5699884165326681,0.6868293749481894,0.7471049995805525,0.8687160303792276,1.0100256523791344,0.9043989703052061,0.744126197056127,0.542011787767914,0.5183558761001936,0.4837862615344644,0.47902918516538495,0.558060163864169,0.46737696311282473,0.5882850953285976,0.5619910033089192,0.4997007163163971,0.5090459726835437,0.453373623378411,0.5332478047073413,0.49529916425017806,0.504879311051308,0.5888688015228604,0.5894332865738869,0.6147298898478099,0.8972332175184438,1.157818486181598,1.451153056810996,1.7338485145284834,1.0799502686690905,1.0705955546667347,1.1962288979431577,1.142205605047934,2.232226350930655,2.2054362437664823,0.9641875592354322,1.1390573336112404,1.0437179134011,0.9707351630742681,0.9015636428444299,1.0411648283299215,0.8377329644098357,0.9069642864633978,0.7670575614843373,0.6966361053436821,0.9348712179651439,0.7254278404181558,0.652841883542155,0.8624738161394089,0.6433403200493633,0.8496014283191734,0.7235936069276288,0.837960568784121,1.095991786792141,0.8543857688026679,0.9418280458425147,0.7282538137713442,1.3118928858725776,0.6560857388997838,0.6395313195130369,0.5662901952440846,0.5922686608199886,0.5159067192552419,1.9972917488227926,1.968405615944847,0.4964187444474787,0.6160182301708024,0.4675176230110859,0.5113656439815045,0.5206148576722402,0.5213963730863407,0.5661188766347475,0.5912771403378924,0.9206474838139117,0.7590234304930037,0.6328062993955703,0.5964702991897443,0.6975885067950367,0.6539210517670279,0.5542748595654376,0.47899590043288187,0.6196494762840986,0.4615648265040437,0.45003969907648766,0.44325444404177233,0.44198480804859513,0.454907332855949,0.42381907313306455,0.490921172908992,0.45620712058700463,0.4671397933739407,0.7000208868714943,0.36879667379839703,0.39066524910128325,0.34937269563973367,0.39305545596808356,0.4033870963010201,0.44453971411082305,0.499834334472147,0.5497637920259353,0.6925535204593369,0.5931214406115721,0.5848423136023837,0.4988000225652389,0.5165860705257147,0.3859692365931091,0.33334959407290865,0.38831659641172656,0.3382805628232198,0.37443130735168345,0.36379904296002863,0.4725971399696773,0.5043211068645475,0.4941767831008957,0.5287553406002355,0.5400530984202884,0.534073547653568,0.6255406206448781,0.715979565679384,0.5675450076539301,0.5608232095681892,0.6139952626159294,0.8861812581356282,0.8719097073690166,0.6181133574526045,0.575938670098108,0.5432675930343871,0.4977542016206872,0.45976656435995766,0.44372257611340127,0.3757658039316599,0.35964224405563533,0.3988190688352865,0.485335278333578,0.6641453686358001,1.5652325854146683,1.149676326586649,0.4983242829557375,0.39370022892897166,0.3751188442223815,0.40049860583113783,0.3989271857192077,0.4464787475687931,0.4444607046285802,0.5078583161396099,0.5081108094718929,0.6040902948919681,0.7099814494942152,0.8492878237354625,1.4508739280328178,1.1898402258813179,1.0505756447235328,0.6459275384808258,0.5912555789841416,0.5430622164688014,0.516741269624227,0.4534263795230666,0.4274403765238093,0.42446692412660253,0.6089242974211961,0.4644976275642134,0.46329155387069876,0.8510320090253969,0.43387003168528243,0.4951710639419856,0.562509724795809,0.5816154261534539,0.6695335997514559,0.6970019274361582,1.0703464920035206,1.6034023453928725,1.3041106624528724,1.3121643577706827,1.331306974140333,1.0376489872797303,0.9095643872650464,0.6915416882463196,0.697568562619485,0.6908824843609468,0.5308926038925476,0.5169079866895687,0.5888069672736037,0.4045888122810284,0.3878445743563408,0.3892386179626551,0.3936280920697648,0.36922262464371197,0.39434679837745906,0.47130413617923617,0.4256637657177086,0.4829438206303065,0.499747083888332,0.5438592443648683,0.5846047055744525,0.6400865832527121,0.6921296629235189,0.8274568343718818,0.8831325299629194,0.9670252287355255,0.6483134910311377,0.5244505658615917,0.5895127813249512,0.5947645405851814,1.7704419070007196,0.9390495861005113,1.2308027638337622,0.6231936055088608,0.584561368114679,0.6268426724708164,0.6574311052253866,0.5895832059131175,0.4836278165355869,0.6715627580187858,0.7578453322035524,0.8073073205382771,0.6005262068913803,0.8773347987787926,0.8113180425973927,0.7568964037235761,1.000274784482325,0.5200781873413863,0.5986975682018295,0.5720619542968922,0.5877650613571777,0.7048481847309647,0.7536176447972129,0.7132054839715907,0.6167083153625172,0.5641512896307149,0.797551545179312,0.6582342554445675,0.5144688117730497,0.6504175929887267,0.7726567378903574,0.5606741895337962,0.5856065880435439,0.8117401323726322,0.8529563305115829,0.6313317598442231,0.6382337596719782,0.5684364902204406,0.5054924490026556,0.46005010598347823,0.4707785294480809,0.48447220686059345,0.4309541893153803,0.4486976160457396,0.4510972935663572,0.48765201220597093,0.4319538402337396,0.48961224042862456,0.6805010847971289,0.5627204201604307,0.6110198623303446,0.6651139260873316,0.9049424326195796,0.8135311587615713,0.7421986636457351,1.0531370989001911,1.1603216868201505,0.9155469313600042,0.7196771697968283,0.5780628735164021,0.5204925653792786,0.7973433248813465,0.6408175399875159,0.7231191150614588,0.774687405117972,0.6157077656243751,0.4916839678850069,0.4239095789136485,0.40769003263803383,0.36408590552899406,0.44188409094697556,0.6064210868903119,1.407696539337396,0.5866042895366254,0.5151218626123863,0.8546275389560068,1.0172661651474746,0.47308526463991873,0.6872153101445465,1.119568166001204,3.009413138700573,3.7671940121386966,4.646983377564082],[0.5181085883958979,0.41626421445981904,0.413543445617648,0.3212325633427815,0.3945381815347155,0.37683203859974507,0.2848519777758875,0.298967447449089,0.31533174872593533,0.2892113065964121,0.31779265603760737,0.3932672100476373,0.33793807678779764,0.35472540318919055,0.4602760615717823,0.3976834779394715,0.4576987414992806,0.4855116438856982,0.5494769222457612,0.4948323858770046,0.6038563734378398,0.6478873186662027,0.7964445148246561,0.89615242763345,0.8182187743700126,0.6572041202141848,0.45203219734844935,0.4329059985281801,0.4230016004860647,0.42403941562324554,0.5155627465606318,0.4592113890692035,0.5867803351906038,0.531234123177343,0.46382234882750395,0.4589528030471232,0.41955173644722127,0.4418999586503981,0.40480481273013,0.3954050413046219,0.4612375081526715,0.4931648174453678,0.5064071512239008,0.7715742707817208,1.0321028157071104,1.3675643750880573,1.6092219415454947,0.9295116110052108,0.9885628478385939,1.107180620073817,1.04411371972557,2.2497432455494635,2.125164521017923,0.9153865508861808,1.0873482230539842,1.0670286063263479,0.9602816144303588,0.8775944051331342,1.0754506697617443,0.7315224761650789,0.8101288495201038,0.7148086632285917,0.6425655824521775,0.8715091867380561,0.6424143840176689,0.5945368834850719,0.8067809689710087,0.5888397916409525,0.8012584042567393,0.6841311039832358,0.8211145627994658,1.0727947745949784,0.8370669578650822,0.8930901083862712,0.6974433489383093,1.3488606755212815,0.5905991511208506,0.5874355786292716,0.49443961649516793,0.5409995353647441,0.47491660699023336,1.9272719909726583,2.0036713396123895,0.4369561484494917,0.5574321088879202,0.45248772131850207,0.43182418899845654,0.4760475768472348,0.46309241934316303,0.5227441359553495,0.5442283683068561,0.8728529173473621,0.6909250515917309,0.5928336461989384,0.5556896666027842,0.6565385790163596,0.6133650203380123,0.543817045782426,0.4899711152065017,0.6849800146132172,0.477283630686419,0.46153711785599266,0.4149731908328362,0.4395848329850903,0.43597236499935454,0.43084813478068223,0.5573424323555526,0.41008557222237324,0.4531659965359111,0.7233740649410192,0.3604137483869001,0.3354847095717453,0.2965416130449202,0.3451789684289362,0.34944133052618925,0.3798874862825701,0.42552094367162147,0.47517516389964404,0.6129508565036497,0.5188393021751557,0.49812829086806804,0.43480001193514684,0.4448988413186632,0.3273504436860366,0.28731296617044433,0.3282876164463765,0.3338768153860307,0.3377929024643319,0.3268455884794653,0.4222468565487737,0.42511169931262127,0.43493757051619225,0.435855413589224,0.4965829963232695,0.46533557745088,0.5549483578861467,0.7032306436391178,0.482475432803521,0.5130455498269322,0.5254862014944687,0.8456253555763388,0.7741533775012492,0.5282844998221202,0.4842342568778771,0.43879163692962714,0.40434078480472413,0.3672776560442642,0.3742302610575868,0.32403746647721865,0.3382828551814603,0.40254319252516113,0.4569188308565416,0.7425726983999201,1.6636513059370472,1.2010173144062173,0.5470936564096615,0.38973820707189377,0.3809424794447294,0.37329140433380786,0.37311232131690253,0.37391063250490053,0.36247251944980285,0.4027673173490476,0.4027513575034671,0.5168182330677006,0.6174925469572279,0.7369090442103854,1.3226054955529825,1.1026084157302514,1.023924655276126,0.5855514754879219,0.509076283986133,0.46083661316769675,0.4337350641449045,0.374689208915708,0.3777782399313124,0.3979443333942302,0.6169170054578165,0.4087514823944292,0.42965398325376414,0.7758580941621678,0.3728099654016216,0.4131502048513791,0.4411866459162756,0.47526011057504663,0.5365452356878171,0.5754085515158263,0.9519005318631928,1.5886030654830492,1.1927238226693229,1.2273115800694452,1.303696439907253,0.9319915634124303,0.8045095257819399,0.5806371347927342,0.5765681031207354,0.6140960106984528,0.4507832990054549,0.44794389087764314,0.5347093598939603,0.38526814547645094,0.40532398426433996,0.38486631811945254,0.3969204253630246,0.40366398292712147,0.4334054867172293,0.48166272109599506,0.44752217595037647,0.5203582057634297,0.5170298210773158,0.5626137559928736,0.601522879501556,0.6421144611692943,0.6998759978194149,0.7951436194363608,0.8925493760959908,0.9779031854608758,0.6654245091111141,0.5507423410307448,0.6152895755385147,0.615830240766979,1.894908225262367,0.9962122805354977,1.29293643345015,0.6175370941360999,0.5977241855223662,0.644998799947919,0.6644268146152966,0.5721550761214709,0.4380763816136166,0.6674156802908874,0.6807710074658397,0.7592892550427952,0.544413080078395,0.8432057201772825,0.7334148868900303,0.7014248336967802,0.9460645589479154,0.47233450635416113,0.5399980417525556,0.5522589306247739,0.6162092406432286,0.737716653745857,0.8286175558893736,0.7559974965188758,0.6657931255752311,0.6336217517566841,0.8588261374979113,0.7156860600305821,0.572912764341369,0.7115926509760829,0.8230690759336248,0.6120946782430396,0.6488553095513109,0.87221597824471,0.8810840190552272,0.6623909522720235,0.6829202707670358,0.6069195899361867,0.5668846473597501,0.5290203393060852,0.5305818110502831,0.5332836139547531,0.46421409976544037,0.476503644283045,0.4533454896543696,0.4782393265981167,0.42485020937238815,0.47742579873170377,0.6457352738840716,0.5464560879056106,0.5636376351271863,0.6015526490552111,0.8842294428568465,0.7741353456023972,0.7355620384225405,0.9914818896959243,1.1280759860205078,0.9476866395714556,0.7237379147353081,0.5878671512595864,0.5268582161611981,0.7898493576803014,0.6849589136329722,0.7598518511189033,0.7718775871255007,0.6219399143626307,0.48960410381482206,0.39996007517744653,0.4100191950741963,0.38372453527107325,0.45845043787649054,0.6717145119341854,1.504737378589775,0.5863169479030078,0.5746060210186027,0.9200619500782374,1.023727012317951,0.5209055527523889,0.7214883183977884,1.2206764967489725,3.1152260226993183,3.892981963174279,4.784691915191001],[0.5287524498214476,0.47661389556133255,0.4525060620256106,0.3340176634746802,0.4206032017286245,0.3686037508481231,0.2837797952918429,0.3117365033250036,0.34603858395999443,0.33456267053639516,0.34222451671255916,0.41929832227584224,0.3646689071146204,0.3993733060523338,0.4670828028733311,0.39858746990005434,0.4881680962680024,0.5214306248820527,0.6178844745471342,0.5694420076140785,0.6588285964698544,0.7202422290051933,0.8920964668541441,0.96382597011602,1.0199525065540946,0.7827449204564209,0.5548718267747038,0.5108839359222808,0.4587875454505535,0.43539291138886616,0.49617207091646226,0.4195797248711574,0.5166593248890947,0.4983379881878987,0.43642977466420235,0.4549285592493441,0.4043851370908319,0.5023857642950506,0.4803436776989566,0.48756210824110524,0.5901437467189861,0.5754315703512225,0.5979670093227107,0.8644652055198486,1.1331841019101805,1.4238478649782842,1.7461251562037254,1.0468931860492048,1.0366853746883655,1.2143776085006734,1.164347606372569,2.1152865067866764,2.072230274854467,0.8980751035951424,1.2856527128290152,1.0589660938414838,0.9027254154244907,0.8408157618879485,1.0645452081975313,0.8412240870579479,0.8902059291473519,0.7679783584699607,0.6384461139730202,0.8471315226931562,0.6870924908101581,0.620651147870777,0.8335589465013569,0.6100964667867441,0.7958039270603424,0.7115888909191224,0.8362898972265611,1.0674159978205326,0.8294553017846291,0.8719035029641322,0.6970466214172806,1.321120040984674,0.598341819699273,0.5645066569839472,0.486433017453609,0.523445650185052,0.4616204946171661,2.0734842503761923,2.056859599083952,0.5081949275283727,0.6033019649502848,0.4730300899305499,0.4814316268952464,0.46443988558543725,0.46857503419981034,0.490858487871057,0.514330476670005,0.8514361084956658,0.6678660521504467,0.5583313212617841,0.5317140669195207,0.6330087761863729,0.6115639902740844,0.5090925793014942,0.4507255051467482,0.6282667300367595,0.4408597262437045,0.4616554526330209,0.38415960474058597,0.41581936515279366,0.47089911587292155,0.44641520632958626,0.5781343447187286,0.4901933296053826,0.5064465178207904,0.7329324795569574,0.411195566184713,0.38474565872145,0.333040248461153,0.393402940724799,0.40587565374363493,0.45140365196483145,0.5023919854535417,0.5591978238764966,0.6791556614189854,0.583701590050487,0.5951248706210879,0.4999162019144499,0.5410101106419051,0.4155796922294015,0.3491060814718795,0.4157734096156305,0.36191208361337357,0.4146159581370011,0.3816186889476485,0.4661149618362199,0.4920745979797198,0.49047644328433293,0.5237167665463561,0.5280882382330515,0.5444027394993255,0.6714784504181583,0.7902512823329807,0.6179475369076288,0.5954947865659328,0.6131317335905312,0.8871971401626267,0.8546088717353352,0.6391341035473008,0.5844598696909242,0.5385745530951012,0.4754749330250059,0.4506616240323752,0.41069777985427125,0.3444931213413037,0.35110791688409454,0.4115176785595259,0.4381455000162296,0.7027283138335864,1.524025914283671,1.095376359573843,0.4925011613196715,0.3722377789647403,0.3676030328357955,0.35971688775726995,0.3863363721393588,0.4353684189951934,0.4167298075007551,0.49784890023816947,0.4894059079438512,0.6370566358800439,0.6845292219741094,0.8759010395748096,1.4507659022108834,1.2313617046010168,1.1170715125672406,0.6859932393206299,0.6181261003370883,0.5578293008612951,0.49867065060382365,0.42316937432852353,0.4132207666434835,0.38705792265208117,0.6156256742168693,0.42021599900416373,0.42054217418548684,0.8016108214860976,0.4308546031484645,0.4743548348864848,0.551236645290292,0.5660377076133662,0.6363484735232934,0.692981674739241,1.0954729234409635,1.6657389485886294,1.4220314562688956,1.3519840327355113,1.2068405581373642,1.047858287245995,0.9100022158159815,0.680540266722592,0.6902456453823828,0.6774921637402632,0.5043767614449489,0.49860263269877647,0.5636474090952641,0.4150356538905869,0.40155947427650657,0.3992173610569662,0.4150018045637716,0.43486223783951006,0.4623787629266681,0.4979676285876947,0.5086405425710424,0.5984419835658497,0.6057227074058992,0.6562557412786895,0.7334092664718586,0.7925946332794842,0.8099743522396124,0.937351300926538,0.9510895177197292,1.1227722448721142,0.7207941209795866,0.6232101139331377,0.7191774611226333,0.7166039498069825,1.7720908118699594,1.055524430839822,1.2792732005491634,0.662742046350844,0.6193335505582607,0.6641047107693872,0.6235970383309677,0.6411136453500185,0.49026746058823945,0.6715520887545567,0.7168074691823518,0.8221088607983659,0.5952889384052614,0.8290247748160753,0.8621759283149988,0.7682981279191752,1.0083937961109792,0.518292453879507,0.5597319071610755,0.5331858626902933,0.57033307567736,0.6712778960348311,0.7854833412695634,0.7065762894472266,0.6143281212917084,0.6236827503257409,0.8156252901848327,0.7120718109416952,0.6005768986337467,0.7569639989442869,0.8902407189844831,0.6835937415874087,0.7302057815147678,0.9697289137944936,1.0177183435697268,0.7953218941500307,0.8120820825822086,0.7183530105765003,0.6452118393205464,0.5696467361128557,0.5616678774740597,0.6052089716745697,0.5316373868396902,0.5123047422544953,0.5225860322586292,0.551303292965994,0.4669129724371064,0.5349136881033907,0.7160165933534135,0.6006723957713954,0.6442966515444284,0.6838823246620025,0.9603186023308371,0.8442806764747978,0.7894405231522208,1.0527782525521683,1.1294685779271365,1.0082732911955734,0.7656365317409071,0.6185115714353038,0.564988263865021,0.7744903058756297,0.7037203431492776,0.7931721315028925,0.8124796215720114,0.6556640392091646,0.4882196513798033,0.4311849978761462,0.4291786404150171,0.4079905334050501,0.46051852335626037,0.6291050009715758,1.4503083773973435,0.6249650847302954,0.5599843677071583,0.8663656203043328,1.0783446952215698,0.5059901438142754,0.7279026167379746,0.9616056714101691,2.710935441216473,3.2967552754968548,4.008864322569432],[0.46825969606264356,0.36517029936985335,0.3799671923266863,0.2996292635293244,0.42338103275583194,0.3708237196497954,0.2795204757475126,0.33414211052362996,0.32717864027708476,0.2726849229065263,0.29972433172175617,0.39224405712173455,0.285136064779678,0.2912615130716289,0.3682958145869079,0.3166649346202158,0.36247641557751004,0.36863716957265424,0.4559725675442197,0.40720166672540775,0.47806664563658496,0.5575974741952228,0.709015717932846,0.7521130937148687,0.8996586169550401,0.6076326735781636,0.38065055961902466,0.34743396541491417,0.32899737354263836,0.3315340791386113,0.38588581436683506,0.3714416259108729,0.4623248695262074,0.4059995890426318,0.35673617279138603,0.3280078162489425,0.3419186228879168,0.3437200547152842,0.322071657560012,0.3212747578283111,0.41068825272017223,0.4067141391966617,0.41581141005236966,0.7284226440378048,0.9924383811889805,1.321083463419811,1.6062108857146151,0.8946062335733981,0.9507517681407319,1.139171023778961,1.1103027933013663,2.117821306149698,1.9290082846195309,0.7858937411704482,1.2442137259530626,1.0668505473909216,0.8115452760527988,0.7563483542198014,1.0898632215491868,0.7009391252911916,0.7483272903124292,0.6781362820903697,0.49242815162509446,0.6983407709349378,0.5153875833999345,0.46273806051896943,0.6960834685803621,0.46637203725237036,0.7056545334535307,0.5983236182579118,0.7869895398428916,1.0202499903833726,0.7439175797201523,0.7680330163400936,0.5576953087693324,1.2115381223583153,0.44340840091374917,0.41884834224473644,0.33872098841061044,0.3840610264374606,0.3712459907075673,2.0422418796108213,2.0871236402538234,0.43902265811219937,0.5031662082972294,0.42764811433950567,0.34429283781058223,0.4092353450161654,0.31629564752767225,0.40305050466216863,0.40600391571079375,0.7123237720088217,0.5354765645346133,0.4536217591664185,0.42807260108264467,0.5170079750461071,0.5132989378848408,0.44219587572496527,0.4188106877787732,0.6601017555842461,0.4455088639868094,0.49885908025234027,0.3630644583445249,0.45677388986901146,0.5035202301047644,0.4946864071488513,0.6771912518626626,0.4873272202531702,0.5209865764526614,0.773546893914524,0.44903783431984234,0.36150054418674304,0.28565835016517344,0.3256759751141569,0.2942783410291328,0.3101652065143884,0.3540805213658397,0.37969902460381233,0.5043265545722101,0.4370460938887869,0.4330409069687727,0.3549962657648781,0.38956112207420823,0.2957503522202034,0.2832119192061226,0.35568321810542436,0.381997266834526,0.3834484897144263,0.39449610451974354,0.4643872323829656,0.47159828703222867,0.5026118630161852,0.4815451530341623,0.5140983094910991,0.4915428452077343,0.6141130922316194,0.7828971189759596,0.5343697237435447,0.5010146669316461,0.47881214233374564,0.7496659400480169,0.6880941662226576,0.45818026512888027,0.40714100461937874,0.38381660887998786,0.34606732019172637,0.31805224836025625,0.3293529173949583,0.2988689192742707,0.3306297093302044,0.411829589369254,0.4126390408812217,0.7492703239987439,1.4697869803258399,1.0261390728287894,0.501283116051749,0.3619921343788896,0.39872361224935954,0.3300842844675335,0.36986426389700106,0.35168899217554106,0.3272856486948662,0.37568946277129706,0.3619942778900346,0.5354377905567849,0.5584807662060528,0.7440566296681719,1.2922968908364159,1.1145423684224958,1.0674616269344765,0.6128824955214741,0.535773624389324,0.4792301138778639,0.42241769870764234,0.33959001468657074,0.37774813278557307,0.3600794807716387,0.6189161200504478,0.36388179130381954,0.410399029940473,0.7685012543114728,0.3991459970807749,0.4115217584550634,0.487759015523633,0.48603221899598575,0.5142925580953092,0.540288403500811,0.9673975295631142,1.6376176186914528,1.3301796709828,1.2532358482803174,1.1151817225122003,0.9639783642276384,0.8391959674280206,0.6024403665993027,0.6057827431872372,0.6214989897774273,0.47628996382385214,0.4902679787335693,0.5600950705619969,0.4290163256038915,0.4523843499060776,0.44290136442353717,0.4263298944104139,0.4379523351000565,0.4666860717899904,0.469903008035119,0.46910026271687083,0.5827429452915145,0.5447148749758981,0.5775368583409197,0.6596970412489764,0.7233280182923395,0.7099466906179085,0.8207809469137944,0.8271814480254233,1.0478377914319723,0.6951910050659773,0.5789359248859485,0.6670311089659776,0.6776652508250863,1.803159099879252,1.0328478456860588,1.3053699933774323,0.6411677404969701,0.6141397879950417,0.6861775295889099,0.6312530876225718,0.6443304926532419,0.4876887221940499,0.7202969153829514,0.6994775276563422,0.8551413245460272,0.6111155713296803,0.7947239317164444,0.8274822463832248,0.7337604911038125,0.9416109653072713,0.5121650754758682,0.5428886382652522,0.5478576392107316,0.5950816002407939,0.6943962369477038,0.8578157991114901,0.7486821024665398,0.662201295685064,0.6706963492092121,0.8621236438870057,0.7577448806691064,0.6275003627917114,0.7941736638172169,0.9194113826825563,0.6889205561448077,0.7425288789204059,0.9895979386206384,1.009090965245418,0.7706372683961377,0.7988300339886819,0.6975288352779063,0.6493488855606259,0.5873565563328979,0.5740101094323757,0.5869050714604831,0.5174738068371634,0.5204408723054953,0.5185268523386009,0.5435937232826629,0.46955846574298044,0.5305627317881458,0.7057732165091205,0.6004072340322725,0.630240137625068,0.6468005869211508,0.9190936857170161,0.8083791789306551,0.782975940505158,0.9583401319819812,1.0684670544749044,1.0363657750344917,0.7662758886283288,0.5874396283175523,0.5035264217987317,0.778021336104897,0.7821022996934825,0.8634644217512998,0.858344515473705,0.6688809112653271,0.5163488521116305,0.44163006432431556,0.4363611152021809,0.46909169749903773,0.4918035369003314,0.6421111245011257,1.4424564194369696,0.6188945193282921,0.5429382704662737,0.833824602884281,1.065088177479726,0.4625064516851187,0.6394348414792512,0.8281316481467097,2.389869861011855,2.9114721629879514,3.5594256627022256],[0.46524354777087457,0.3248753987676287,0.37211307377287434,0.3154392719753398,0.39100750498899267,0.3549617462694157,0.2801769956444582,0.38985931784587186,0.3479748817406973,0.3077196354717562,0.3394549779518759,0.4395212394929553,0.3302008952507853,0.3172753355719809,0.4243600903438297,0.37003748744016346,0.40114886514275194,0.4110249409750675,0.4608769006908836,0.42119810380459943,0.49198133902777064,0.552789382992555,0.6896056134010686,0.7236589613037582,0.8088358773097059,0.5665188833415654,0.36785690789094194,0.35201156525944877,0.3698107184472572,0.38663438391573995,0.45486902577086424,0.4498534105193224,0.5508877281945198,0.49165854537068193,0.42519764882384986,0.3917393222934945,0.41103657782012515,0.38292545608415923,0.3384386462932544,0.332933754708726,0.38047926162265183,0.4126553173158864,0.41720047479200495,0.6880521896022341,0.951849471790438,1.3037305241125339,1.541561633983261,0.8493425625134864,0.9116073006252755,1.0735934886412464,1.023638156559702,2.195838843923245,1.9485574444867488,0.8283623535731215,1.1606737015243755,1.1095791508250292,0.8964958728272164,0.8075284428038533,1.141825318115633,0.6805686253113582,0.7211622495132388,0.6881130092031331,0.5566405229742791,0.7750822744516248,0.5397891308260615,0.5088311195319525,0.7397491534732963,0.5192071481035867,0.7576880301099003,0.6335266872593104,0.8165946485789627,1.0873107193557734,0.7937125123514754,0.8058955875122406,0.6111959255695472,1.296338068113717,0.5083655640644995,0.4969258645445483,0.4092532541924944,0.448426416263962,0.4339217382295909,1.9413495603639859,2.078286956434352,0.4820940427675516,0.5122841086954575,0.4937829666464712,0.3790727498408947,0.46613705595447735,0.3767417540241379,0.4815730048014204,0.48056124005525924,0.758786809736118,0.598273886919933,0.5379414643968378,0.5063078122937567,0.593510839707553,0.576004606476133,0.5175529355445052,0.4994396250286538,0.7346442334906709,0.515705750205578,0.5652921162199189,0.4504245446558817,0.5106033806083549,0.5436877015279421,0.5133883088479438,0.7203736775378172,0.4465088957134449,0.4992591568570089,0.7744749849546284,0.42252878426920276,0.3402838873554989,0.29553618993427433,0.35709304639785727,0.33087207039618477,0.32473965584679354,0.36007201134767486,0.3904311650312471,0.5224141422437547,0.4578542967262985,0.43071763224734444,0.35785108137154487,0.39131678487220267,0.2955892863189113,0.30255280928404665,0.3231473776685442,0.3630352983217091,0.35480351836178226,0.34091610586216353,0.4292434167740061,0.406843494907658,0.459471717562174,0.40679915660742283,0.5025941545026359,0.4303530411355421,0.5414546155033468,0.7423060030746076,0.47451385435243176,0.48456437605470204,0.4455615536988318,0.7744261482743384,0.6791264003259176,0.4580671760833826,0.3957717683121042,0.36647441903165856,0.34750071149384093,0.3194374394052513,0.3623230994088279,0.32806468491143875,0.36126308804309293,0.42789411454898,0.46758609730455897,0.8532540018869891,1.5988486794982335,1.0957507949111727,0.5845962269366176,0.4299221951777457,0.45971097392435395,0.39513275278793164,0.430324561227516,0.3599873702965251,0.3573962267727854,0.35362813531834536,0.3510050657523028,0.5139922156430332,0.5149155736754811,0.661173323137536,1.2096217208631468,1.0381346049585578,1.014505314491907,0.5429910270357399,0.4816960239295719,0.43168984055030957,0.40653999635829285,0.36126669112806054,0.4129642217079068,0.4177525942945086,0.6946690975240633,0.3909315934669957,0.4563543255053392,0.7454940310599029,0.4025642613431221,0.39839143326869747,0.4293024923641006,0.4368253946480265,0.4752643370812784,0.49793393023850663,0.9047557729684732,1.5956057167571054,1.203804824978252,1.2025117254277584,1.139189762781933,0.8620080161695535,0.7481472061736838,0.5148042596255012,0.5218989474051621,0.5702626025316296,0.41414404825895784,0.4404159263586909,0.5060285769683952,0.4160708806884287,0.4574693323860396,0.41835078303362827,0.41121568611395737,0.4324406506825809,0.4530007379899429,0.458768931458232,0.44592177456761134,0.5676182752969618,0.50039012170497,0.5370499232746367,0.6044811414664607,0.6534401134864355,0.6474809431169639,0.7402331710997907,0.8065750492135946,1.0053677052544396,0.7043228551590619,0.5767505462903659,0.6613691676468113,0.662556143801418,1.9147624434662773,1.0468236904345014,1.3617398239984702,0.6494638786057237,0.6330793973676794,0.7242071696365406,0.6957811245243821,0.6493574350051966,0.48220318454362415,0.7293406338551242,0.6659858633820378,0.8323192733274354,0.5878948873700279,0.7970363900755761,0.7603625764983504,0.7150873065295743,0.8902200622178351,0.48640459383151585,0.5063124815123212,0.5389879201174888,0.6325174426313498,0.731595624891479,0.9372986151393655,0.7990159727077226,0.6949354942672743,0.725792998203403,0.9361169169535534,0.7895422042706441,0.6467026525816613,0.8281314025277349,0.938094653088609,0.6827464045941496,0.7575227494763295,1.0067141188127757,0.9666898619926212,0.7481246914478474,0.7864406222884578,0.6865726791258933,0.6646590630998156,0.6104714738055796,0.5968348882397669,0.5963387755135799,0.5160159664120996,0.5285434706580813,0.5188917382381324,0.5412558548560232,0.4567258125045938,0.5218016677663481,0.6767249693423093,0.5916880582798781,0.610206624359187,0.6210810759602637,0.9129680404881879,0.8017065016454529,0.7863861923922537,0.9343372738266956,1.0712795898077414,1.0699960864150186,0.798349737427325,0.597584987164638,0.5140333599972522,0.812501332740749,0.8007944415181433,0.8677288516068614,0.8478904823472773,0.6426532702851884,0.49065702902670966,0.40527577847863777,0.40265796342379834,0.4527407205221725,0.4719523322752449,0.6615076234470624,1.5094998270303026,0.54566147623173,0.5232154029636007,0.8341871778304947,1.019125605349181,0.42877262299594276,0.6241946875353284,0.9161106473556064,2.527021911963529,3.1425480761413285,3.8515093902719153],[0.4499907895971992,0.30624958928496687,0.39749915433986893,0.2691325091193882,0.38942069318462785,0.33848683854192857,0.2726977961809233,0.38664253440449287,0.30799185501492415,0.27823732617113733,0.32634591710972083,0.41920996692500967,0.3024006879989047,0.2755386223003391,0.3674953221972065,0.3324593675037393,0.35166669424395747,0.34279225163178495,0.3994599866138613,0.37070267107823823,0.40670488510874026,0.48864625676997003,0.625751041719225,0.6492395921636269,0.8595426377897227,0.5350206282827729,0.32859368361729907,0.3131966780516768,0.32631127559143136,0.3485905315602607,0.38641305755179367,0.4324406526003731,0.5074779320412416,0.45424949489458455,0.4086425292622711,0.34862483337462796,0.3899755256148972,0.3538475153527382,0.316727387231064,0.3140215528841704,0.3576179526420723,0.3882365071035727,0.3977330566261922,0.6694714226136823,0.905862760280141,1.2601556592464171,1.4941454149784046,0.7939195955165884,0.8856195554061452,1.0724586326425012,1.0649839397108543,2.1152793763068614,1.8059051214969017,0.7600283262485186,1.2623471768036485,1.1686630528945339,0.8372193337102416,0.7579277130323852,1.193914128922351,0.7326081977772397,0.6788152385605148,0.6892198662605282,0.4603944642466782,0.6313939674909255,0.4567369579774931,0.4482901844500393,0.6302732122643083,0.45167511403091115,0.6765115317886172,0.5790048044689826,0.8049216692685416,1.0719632025659989,0.7528019916422627,0.7204354697067301,0.553568742767393,1.2067595197115173,0.4291302862785895,0.43322318171465374,0.3626080463691574,0.40399118251761745,0.4143807733429523,1.9853374920778615,2.106538824544079,0.46553709080715316,0.5008727991895442,0.5103603376174513,0.37403905540657795,0.45883976965185647,0.32976041855078786,0.4449356631586575,0.4266294144141169,0.6816271328481519,0.5165640209514049,0.47182023630250497,0.4451934113849996,0.5215126812871828,0.5408062068316354,0.4629085792610682,0.456240904390041,0.729897029307549,0.49737570199072373,0.5737604473881729,0.45105839192803976,0.5292856308365649,0.5749476610901499,0.5486367804498011,0.8028747847511418,0.5236319910089747,0.5662684873861948,0.7889603987988634,0.47806944559814746,0.37847675596731595,0.29695122752215725,0.3521422537887027,0.3053002454537071,0.2909094364329598,0.3366810549763299,0.34021473373232064,0.4594511153398784,0.40724641362837105,0.3883483647465079,0.3169162178949746,0.3286873787627103,0.26999737407868046,0.29702057337723575,0.3378844990438534,0.3916003990095221,0.3919331745286467,0.3914369950495057,0.4428100537131341,0.4201768271137955,0.49490471286658344,0.4318286662174545,0.5088651590415225,0.44939461811054504,0.5471229593653771,0.7939099385229601,0.49390949763709363,0.4904525462644467,0.4233315864823272,0.7007985073459306,0.6109034249370626,0.4237789448879272,0.36748454097394745,0.34661804554617975,0.3333913024745539,0.3033073372378883,0.3510594107082296,0.31541701515366277,0.3514301308932913,0.4237217484900015,0.4391006428929528,0.8382715299603032,1.4138351488417036,0.9805902566807615,0.5654522368387567,0.41020666545119533,0.46538508138501006,0.36948900700758913,0.43684251198613594,0.3512390435297566,0.3503542241114977,0.3409323908176559,0.3335635460829095,0.5485666045239361,0.4745732470887295,0.6300039889135093,1.1307201201094108,1.0119584818570697,1.0275210177737624,0.5679351261795359,0.48220547238309946,0.4464055796410363,0.41731108254606125,0.3525885104597231,0.417807639501013,0.39975769837080444,0.6794569295059661,0.3844818122744414,0.4722209107532927,0.7070181476631054,0.41843473203281367,0.40925231460118305,0.46216264159997067,0.44413855791652906,0.4459284417083556,0.47381121581314106,0.9087870826702594,1.6308841108343628,1.2431348985095918,1.166933088832192,1.0622719780283143,0.8354721309813254,0.7316502818326865,0.5151557348377566,0.5207840623318427,0.5713831098214788,0.4245677966813832,0.4403329541098932,0.4982653880310351,0.4440357595838754,0.504103330193066,0.4526164790164747,0.42763045514582526,0.4646374215884026,0.48513719620085016,0.44931103616163187,0.4528999689918997,0.6046712299683277,0.5048604576586688,0.5297378590772427,0.6044862767475743,0.6650329066824462,0.6427841984883511,0.7145617248285495,0.7898309651840104,0.9974495086459443,0.7204829518797051,0.5787652185417902,0.6644688115674549,0.6663563639595774,1.924171573465813,1.0631413864388035,1.383988641240747,0.6612557899894065,0.6552084019521187,0.7517548180695717,0.7068264988480338,0.6785240522151081,0.5224532380347225,0.7788107983350984,0.6746561330428233,0.8645419112091386,0.6315333136680183,0.7986352173340059,0.7814532094157609,0.7230671411963417,0.8616973331976134,0.4940181267627652,0.524582001106726,0.5608471511477247,0.6544930049070219,0.7514658847881966,1.001058814042627,0.8380366070944346,0.7354006287712815,0.7850915676602541,0.9725532813368325,0.8510405894769298,0.7074253159670133,0.8977581272106386,1.0092506941747554,0.7478034271640162,0.8206284378644263,1.0708746800078017,1.0345612875174226,0.790010898254212,0.8314828051626366,0.72017188823413,0.7122686458152603,0.6611323939819505,0.6384795801777409,0.6252517457215688,0.5418114074864104,0.5685558500510003,0.5408397216649558,0.5546212638476584,0.47378115647213387,0.541516106853764,0.6797820315985763,0.6035910630083572,0.6107152090736947,0.6218185678641749,0.8872792093307309,0.7835490815439392,0.7830465519413663,0.9115168475585924,1.037749659360135,1.1016992778445376,0.83651947121236,0.6153115545104203,0.5403945168833653,0.8703955366062688,0.8609355223191341,0.8976172568445193,0.8505655533377872,0.6444392970354069,0.4844956881525912,0.41572321486665625,0.4223384870944464,0.48464167725068935,0.5087694250320184,0.6656327498481036,1.4623694707566286,0.5740020932818337,0.5353945176527733,0.8147270661738844,1.0361390942939215,0.4163638662902624,0.6040765465478642,0.7903034868316268,2.112688987811864,2.696361146902678,3.3885365668526592],[0.43797804648230676,0.3602020723205754,0.4640537463395916,0.30485127169808063,0.41883172224037774,0.35994789314524084,0.29460777379253716,0.42072005655855377,0.3310475278177039,0.2982009047711454,0.34427507686316405,0.45437365071844843,0.3284731959221926,0.30237717124653807,0.42593044112036516,0.37338337823041046,0.38619835427731064,0.40119398695833786,0.4637515791614461,0.42130593472793576,0.4765053333859665,0.5315852654692004,0.6838088381777669,0.7079317749977695,0.839888199260746,0.5692661041444319,0.3564607648677069,0.34803330645483344,0.35433514879172856,0.37414330634334786,0.4538597355204911,0.46564865662693217,0.5614642864615005,0.5129850116452846,0.439917243656491,0.3848167236826983,0.4083538623346384,0.3797162526047999,0.33643936630002136,0.33057666751857345,0.37976611309862124,0.41043657645026527,0.40965223754839414,0.7002146450040042,0.9591517258356212,1.3026617155556892,1.5473349288078653,0.8459754287896021,0.9115996897453387,1.0910764372022466,1.0651775589617385,2.164853126572809,1.8871970033231142,0.797593850528324,1.198462050096612,1.1188445816726882,0.8465201344992789,0.7698129362337837,1.160940550479712,0.6823995567260885,0.7146222779471384,0.6951446821549264,0.5389820779901505,0.7601989435505222,0.5162685763221472,0.488335084796601,0.7304466730982692,0.5240520125752268,0.7485386685809146,0.6582178097570233,0.847905917171757,1.1282621885882491,0.8267878566745493,0.819080219717877,0.6237578632968969,1.2940475324723621,0.49969068014026186,0.504237341592515,0.4027624783937683,0.42906360719255043,0.41570615995035237,1.9526872985082875,2.1003297961663443,0.48435362758246553,0.5126584348612871,0.49852952083067664,0.3746711157226986,0.45995462096074796,0.3614241957745434,0.5053748748513436,0.49900936297672144,0.752160919942388,0.606118570171401,0.5551672830581543,0.5169032343119091,0.5965482812875007,0.598930275858181,0.5258403643807426,0.5058740843680716,0.7695525361789104,0.5355016933018928,0.5876638097286839,0.4659452064316878,0.5482989974832849,0.5852713545928143,0.5654877863438815,0.8209379538738875,0.5446204301483448,0.5872842135105732,0.8127842224710244,0.5037252300805302,0.39045551727262257,0.3150927319649313,0.35710064556038656,0.3161896792101458,0.30819468798589356,0.35466931878055735,0.356332349117358,0.5116448291158345,0.4586396275369096,0.42793006214958207,0.35173222586797415,0.36553963739567735,0.2942830278050703,0.31273503156367316,0.3517367375290856,0.4049803706898404,0.40223025732047535,0.41498875791378426,0.46489410818743876,0.45317034203428175,0.5186803655508381,0.4589468805196848,0.526886164527155,0.4643405081485029,0.5677146723614567,0.8069206235404934,0.5118839694983123,0.4910469935891518,0.4296543583366464,0.7214317346333087,0.6435964506781295,0.4563554313539831,0.3890569944053316,0.36556044232236024,0.3519491008683776,0.3170215383212338,0.3611168096321188,0.3300954941552323,0.36355078902475985,0.4464616743543765,0.4579154539465718,0.8743087861041658,1.477670560565543,1.0071385685640046,0.5884789715581101,0.4493968517533975,0.48822498678350473,0.39276793362677936,0.4565477367555671,0.3591113994769779,0.3548737664974799,0.3513367085896851,0.34134938705174733,0.5286904542099565,0.5069626455120976,0.6720780910870955,1.2151812837879399,1.0690497670175636,1.0541225162531838,0.5843702386454988,0.4965069663776832,0.4465221019514959,0.42217513267340046,0.3663005810923365,0.4244591930839684,0.4074857888117236,0.6849531780688854,0.3917608392782526,0.47862765285494574,0.7120835712341853,0.42584736475337454,0.4160469951979458,0.47368473124892035,0.4663236688698396,0.47594895637413076,0.485028844434267,0.915386886535902,1.6355123768950453,1.268009067305672,1.2171060215016771,1.0857199154218817,0.8854225664728522,0.7752809890014258,0.5553218941274278,0.5657380930406729,0.6008825795161005,0.4697273567690848,0.4920590418547328,0.5394786901205829,0.5091742901391089,0.5694079296838868,0.5125591277658506,0.4940179710311738,0.5413903389485188,0.5566718069633231,0.516124654604789,0.5374920716694419,0.693891937834271,0.5827891184398104,0.5957954726183401,0.6982325055224574,0.7605285263343537,0.6914949482965183,0.7769704463375606,0.7727225017819787,1.0715341702369576,0.7899509056769161,0.6500786230070497,0.7300885619383211,0.7418153932417114,1.8612047925766342,1.1064814149951452,1.4148381187251922,0.7311762818512177,0.7102392101741378,0.7965632360775563,0.7303176479492047,0.7559656787354542,0.5866837163093781,0.815160746753885,0.7200539810407459,0.9095563543222067,0.6773717688726354,0.8091957752234838,0.857045625568188,0.7789940410676587,0.8985801436519335,0.5454273219862619,0.5692846197482502,0.6055885589150878,0.696617533066781,0.7977313338757509,1.0547432634023906,0.8982618434457992,0.7865345148116273,0.8535722277438487,1.0415365433186499,0.9077334453150554,0.7772522580192301,0.9795245330473856,1.0801224337635886,0.8251082128370819,0.924363360027282,1.1754308269435354,1.1141685817504838,0.8934819026542903,0.9475802745533191,0.82759360233413,0.8203419593537359,0.7508889067553022,0.7270626099493269,0.7229317130067775,0.6276008969912603,0.6458301728697061,0.6281659657020082,0.632300717949035,0.5443633038691522,0.616751396054182,0.7797039184321928,0.6804435519871807,0.6890839557261222,0.7072789644732121,0.9761639580641197,0.8601703961086669,0.8623462392426668,1.0144401446338633,1.096261820064448,1.1984222371899615,0.9057937183057669,0.6678962551184686,0.5904025735941956,0.9019266181716885,0.9122975109967094,0.9703174255683793,0.9150809045201852,0.6976876408564243,0.5305676828341785,0.463460561186044,0.4572944501416365,0.5357221640941456,0.5481519896921633,0.7016545593341691,1.4955579130181875,0.6043876813477542,0.5724697247727367,0.8467427239247964,1.0568617684705703,0.4637161549494336,0.6233846265564211,0.8511012045129327,2.053407870851789,2.7366012153485144,3.5628695219553412],[0.5082348110963547,0.4762877855184725,0.5796807157627397,0.3348070132591766,0.48075460198471454,0.38718388051403513,0.34005105145954934,0.41979037246884177,0.3589790066678344,0.3810586046171858,0.44012010764542864,0.4736372895876473,0.3811157576720679,0.43770371607047803,0.49053957410346843,0.4358273015970678,0.4734329201792833,0.5313210575153878,0.6138327811351532,0.5042756648531886,0.6322536419223886,0.723046818818693,0.7642387113177531,0.8030842386502721,0.7615827023144345,0.5697483614597094,0.45186775538375934,0.45839142110020986,0.44182176449180444,0.41662068720166734,0.497590102657088,0.4820961204862674,0.5667524819177479,0.5373157431443033,0.45228568308700784,0.4168339724034856,0.41698116853322825,0.4226804343300768,0.4050916625587016,0.39130403825807925,0.48721607540376227,0.49724671724998976,0.4300514543964313,0.8882302962752477,1.0923088051952958,1.4423949334283281,1.719758246145932,1.016304252538957,1.0942051739724001,1.2975852260984087,1.3332023138658267,2.286960329526563,1.9925105248857742,0.9089958548835229,1.2613226768246575,1.2142442220296963,0.9045225123438244,0.7921110574208304,1.1868532521249204,0.7154033893779388,0.6595583978254644,0.6528963096874827,0.5666280237686341,0.8275630453139555,0.6078457385219754,0.5152939152104713,0.7820819097077907,0.6295944083089358,0.8096836130159182,0.7755479249753667,0.9624727712622524,1.2346127994304956,0.9397099788206558,0.9051018125551614,0.7041148061703375,1.2524896024998782,0.5628631720324084,0.540847966624722,0.4393157415916416,0.4529599953457207,0.45055087482856854,2.132811615790179,2.196102276089667,0.4802542496639054,0.46116945214473437,0.4607760826211163,0.3846116766296541,0.4784216876865372,0.4134658288106511,0.5405882787766386,0.5426294817072227,0.7929702157583111,0.6728523300562836,0.6042585578121316,0.5712990075490525,0.6579840446252075,0.6510472337337576,0.5426953175906465,0.5150626007578166,0.7571275947586387,0.5309413061381326,0.6000182843745122,0.4800292370208871,0.5959347262867537,0.6336595167473172,0.6234252385971288,0.8834243481032186,0.634130946067443,0.6664920893348801,0.8460014864875394,0.5707548139282074,0.44704474117849274,0.337974428697966,0.3828515074847466,0.40278847222866226,0.46129358981090063,0.48337932877631756,0.5491306570216178,0.6810072047526518,0.6290393224769577,0.6387645572991514,0.5378964668613521,0.6094683489219446,0.48065651205104415,0.410692107112493,0.4498337951688671,0.4901414946243407,0.4588221409184184,0.5177432465395997,0.5359394201382304,0.5434731815578235,0.6112232652119849,0.5638764374252164,0.5816236738107307,0.5707315115627967,0.7090532096083885,0.9200046461248527,0.6486524997282535,0.5824721003388287,0.5330521238215667,0.7599126063762012,0.7351192263745017,0.579555426646712,0.5203044218572399,0.4743697412930176,0.45018802247576273,0.42549456019319226,0.41606248763380405,0.3538345693518985,0.3819845718095803,0.45154465632690166,0.4808734216721896,0.8794943874139938,1.3321460800038425,0.9321603385744167,0.6062214562572187,0.4584465764949252,0.5032004190592451,0.40205839357843604,0.4707141316433633,0.39126856230940676,0.3835733617297086,0.45479301726308446,0.40872617961381214,0.6160231325039484,0.688972898377141,0.8339758105217724,1.3753889080054111,1.2486625200621757,1.2440550078569597,0.753831625575751,0.6504208539573301,0.5283062717454657,0.4906936572036905,0.3980186549756675,0.4610553759645582,0.4388251698524417,0.729428347729245,0.420081235428995,0.5204312567136677,0.7929847431570283,0.48703406267277094,0.480685239540648,0.5601645212684568,0.5589287065232357,0.5723757933923687,0.5907525296800626,0.9938853414969299,1.7572088148216114,1.4112791553943815,1.2186854813473136,1.0578329483813358,0.9833700587069374,0.8690174095530684,0.6529302436730314,0.6649506100133271,0.6852572074771748,0.5687851553193458,0.5816011533481645,0.6322808537967692,0.6510447377495121,0.7138326808168741,0.6381544491910637,0.6381386529241636,0.7119022374364249,0.7139121981875943,0.639211252042284,0.7064511149121369,0.8944225700364009,0.7541569852501836,0.7496147007656329,0.893872338695766,0.9965669973431586,0.8497083706758801,0.9282699925723155,0.8662180224964574,1.204592675133443,0.9395260758092304,0.8206842100811576,0.8970093169303832,0.9046768779943579,1.7828376007649118,1.2141554410770643,1.5321659978872066,0.9308644990510972,0.8653655328349146,0.9249349825352385,0.8587395347646773,0.8933936169556707,0.7516210614845249,0.9240663449123814,0.8622610850692898,1.040105780076966,0.7928001352205919,0.8406423701627281,1.0061735071434457,0.899231334962842,0.9726307908726509,0.6604007093721725,0.6754807670376966,0.6934580221708113,0.814876076691491,0.9094557910758275,1.1992518366869775,1.0178124016816954,0.8949417885532527,1.007559171249664,1.1358960324996583,1.0293804254930639,0.9209917219867002,1.1347318860383373,1.2138453510126577,1.0058657347851827,1.129243204301419,1.3664996977739345,1.3281852106616634,1.12907513130575,1.1859683545980035,1.059813417589477,1.0421049605019583,0.9598707451303511,0.9290150768275216,0.9342155781181085,0.8324052468170494,0.8384762214330197,0.8252908928396682,0.8191847244105633,0.7124759944521946,0.793122534238645,0.9683573337763037,0.8405867419639392,0.8432520836374938,0.8737815026258536,1.1288232861100689,1.0069601808578699,1.0149209575883926,1.1659934009521722,1.2186405846897843,1.3402717129067125,1.0604189750963495,0.8050941756659732,0.7131263432278429,1.0433838546303444,1.0513048969903414,1.1087048679587364,1.0257252868739801,0.8017452965240717,0.6149753767051499,0.5570304055537103,0.5383490222876598,0.6454741563498076,0.636354386416644,0.7326521161602302,1.3524173621212143,0.6767531808038154,0.6666154624683629,0.8499001039770515,1.039171907661283,0.5603977615033559,0.7401937206291987,1.1755707845469594,1.715455029515935,2.7189041305560835,3.782756842524125],[0.4709251645502884,0.5042003910626924,0.629419503737593,0.4334420752875274,0.5291890589004608,0.5228700149321036,0.4440914083569892,0.5107471947735239,0.42170222935004176,0.39036234905597605,0.41929609893213354,0.49458224009838564,0.40564582598603716,0.3877322089319549,0.4688047905051056,0.44368919674931495,0.43318299354503276,0.42266127629693656,0.47654345250077945,0.4630929922060054,0.4776906853038778,0.5567730790735353,0.7076615068253556,0.7383417372065053,1.0095862651657952,0.6164407078491857,0.43055790158937074,0.39935733858291056,0.4479394743183506,0.4785637879968659,0.45753445883908583,0.5294740911613418,0.5560959031248506,0.5119188442351215,0.5136841692608491,0.4609271388545166,0.5408713005408026,0.46273759728812575,0.44398400707128693,0.4831537634203882,0.4817197854814664,0.480605266317626,0.5082428548754453,0.7260310948814042,0.9321883187992774,1.2672061213557042,1.5468940886170617,0.8417425520535625,0.9426349166968578,1.1811400969395112,1.2083721757645036,2.00245823915813,1.6827829581107665,0.7462343486670308,1.4504381095617747,1.2531390676531124,0.8582835261433474,0.8089122255446118,1.254647067435445,0.8827140100732187,0.7661467976451973,0.7991091294709752,0.5277165581212457,0.5964373154455075,0.5123957380630588,0.5371613262667931,0.6365356312942724,0.5013160517854391,0.6672642063035572,0.6190519603117552,0.8266538670425253,1.0456256980164094,0.7736188506644467,0.7191924533338115,0.6111920011738387,1.1637200910363052,0.5104742849316493,0.4961949029865875,0.4782912686433161,0.5333809234230582,0.5504012607932312,2.0406747322336054,2.1091846519423845,0.630533325855729,0.6166284383627397,0.7053256417263517,0.5358456805049006,0.5992316339037314,0.46424537369459007,0.5191452343996001,0.5068447608078127,0.7051807101473586,0.5592566768475158,0.5259084671725149,0.5022914489022249,0.5606415053221372,0.5828877661206655,0.5168323783417839,0.5396507976179187,0.8119986005202567,0.5853143097269908,0.6764752000009131,0.5893024147131104,0.678305740770149,0.7317746529327427,0.7248244465848176,0.9941388500791207,0.7562382475889877,0.7791741780227582,0.9442181224963373,0.6746058556605722,0.5637522648642984,0.4638525176369488,0.47740288334774555,0.4010430231761609,0.40181982346650696,0.42702345567308836,0.4254889097893168,0.5031374480901737,0.45296208220651607,0.46494144167709317,0.4271355648025221,0.41316228860608106,0.3731859483335805,0.3997506806307931,0.48034146433970165,0.6040159645425298,0.5949006796228973,0.6519761207122617,0.6604704708819471,0.6554370148681744,0.7293542954611294,0.6801585669905666,0.7010441028789491,0.6611396022031192,0.7075762384173842,0.9414267738555894,0.6736720814800333,0.5914365418017948,0.5230860273884549,0.7213184116080023,0.7115976699011506,0.4876887883091943,0.4610683740912749,0.45945351739332385,0.4425984234495556,0.4227699078759488,0.4680775299077462,0.46942278020012335,0.49588483369832453,0.5692163893084443,0.5535918060198781,0.8915317289043174,1.2280421146003042,0.9156198192278558,0.6548459275063394,0.5199465312274543,0.600578097015422,0.5059552716019365,0.5934996626431307,0.5154692788982501,0.5007848944597634,0.4880025877210401,0.48754985061796957,0.7155834045164109,0.6325585171779158,0.8215159091473684,1.2569655723018116,1.1868321319338897,1.1802279071799036,0.7622559532436984,0.6389620238961397,0.6295016273758995,0.6011416013860775,0.5377094553783004,0.5952583082042927,0.577873676596668,0.8203245060477427,0.5720680491383255,0.6640078684649524,0.8448950378677593,0.6225274723893658,0.6242725535194547,0.6804244901028472,0.6322488987549278,0.6009183499114962,0.6232611658405505,0.9848079408017505,1.767686712190808,1.3660880234151371,1.191642662198858,1.0712712278020515,0.9614006868733458,0.8827689353817354,0.7241405898648618,0.7222531656324341,0.7352557129429099,0.6706880800524289,0.6841088312734022,0.7184602510533953,0.7448866505409713,0.7942635844476821,0.7250550978417099,0.7232994021241831,0.7841559813712058,0.7892220143319882,0.7392293694953326,0.7692339039350544,0.917771913952669,0.7987727204120496,0.7929692132660372,0.8948491934776257,0.9885769368987845,0.8671395621984933,0.9238786886979617,0.9217101687270346,1.1806629473327006,0.966618916603614,0.836598585009275,0.9117942974422358,0.9318433113742316,1.8704879866520274,1.2617507222248272,1.5116561136433078,0.9520975148333383,0.8937750475030598,0.9606822044447398,0.9073561558904132,0.966313590196636,0.8467191551862033,1.0158157026657364,0.9471457942157034,1.1163528982022808,0.916383204084167,0.9273408330194212,1.0482805021331727,0.9972299172887167,1.0032719380404869,0.7619591271776716,0.7623044023628203,0.7980838205631079,0.9104646915001945,0.9770524236848378,1.22238309291867,1.02913705836582,0.9659338426734525,1.0263914966654621,1.122925468462813,1.0452918402631628,0.961209880360961,1.1363770263425566,1.221218811395037,1.0278890810195809,1.117216998001819,1.327398055048991,1.319025764212758,1.0903248523039908,1.1282599681946461,1.017559015580365,1.0055287043563494,0.9647941136456263,0.9319506021894257,0.9112598388149049,0.8547218791754765,0.885744286717898,0.8518717236863974,0.8441858829762725,0.7913577875670824,0.8478433426215939,0.96413870000719,0.8830939647117886,0.9113220746729631,0.9086111999619441,1.1427133099979832,1.024593935349531,1.034820595811724,1.1337213189630588,1.231781496655316,1.3638908722049403,1.1093835996757875,0.8745703397390295,0.8263987133531523,1.1422066073146109,1.1113006109830592,1.1366616657489828,1.0875436664856313,0.8974734435927438,0.6835781344656425,0.6597019158281423,0.6329749664588475,0.7164959977488892,0.7318699265928328,0.8327439087829033,1.313848579613393,0.7637823942609464,0.7526528132165489,0.905211658469082,1.0326716878512274,0.6667256367255567,0.8071796288946183,1.2714582773334147,1.6700054970377067,2.7803191586516802,3.9401295734907644],[0.4724214534155277,0.508081842631739,0.6668945356458996,0.4060216404733943,0.5519066579488322,0.48909112708584607,0.4319944691484235,0.48914038329308135,0.41181259845933804,0.3744261328507278,0.3980757510415527,0.5029648705388982,0.37560174129049967,0.3716948606469179,0.4198391957051353,0.40556612245207047,0.4369484317781,0.41692838065295157,0.4762628537005738,0.45863691072097557,0.5038803661204699,0.6148295073840975,0.7241339224797123,0.7551914764546971,0.9474278003332937,0.5847535214165849,0.4221260180979536,0.39279613154251264,0.4274347204260982,0.44008295143558823,0.43504692579826426,0.49613972822806496,0.5586711867188903,0.508196320925862,0.4831087830603595,0.41962217118294937,0.4932497263081013,0.4528536945014641,0.4439582971195273,0.4612287586710609,0.5063057159306464,0.49855305182640125,0.4735454047998838,0.8168351658199502,1.0104011924608212,1.3362887565598172,1.672769215127411,0.9533622634411985,1.0394436023221185,1.2885139181996583,1.3574887368986244,2.0450448958351446,1.8207695705932305,0.816748858838973,1.4855119362945517,1.2599991420784766,0.856208608265343,0.8159556927968927,1.2171438473775,0.8370797220303827,0.7131175816464514,0.7220322204418571,0.5045686714795099,0.6289724064409402,0.49841879744487494,0.5013522683987581,0.6466633535061287,0.4921274275239342,0.6921812243338715,0.620538931212376,0.8294057752059593,1.0367941607764077,0.7620590593493611,0.7426700969638751,0.5909507772864668,1.125145535288805,0.47510090665198274,0.47388842063608644,0.4438480143113145,0.49606865666795796,0.5320711679900053,2.157356214496737,2.159136514156908,0.6259365613166201,0.5773846223308893,0.6142245878528687,0.4810621117028083,0.5519457597988616,0.4223821563369324,0.5321483217265881,0.4898856549624318,0.7092440122647369,0.5514940955634667,0.5035219768898681,0.48697145125545893,0.5453085354932438,0.5725306931670955,0.5051192592142371,0.5114149715749721,0.7673543716263032,0.5700557482810898,0.655432709535543,0.557949865852935,0.6556985889750179,0.7222961628382383,0.7222126143719666,0.9724937819804556,0.7687380123429467,0.771878300006963,0.9194037217166413,0.6759729694712167,0.5532945706077933,0.4433481065122184,0.4645352707435013,0.39885589506256586,0.4058079559571519,0.43752355878134847,0.4516225991752263,0.5200748405457133,0.4745471878128552,0.48477104925343345,0.43593328261626196,0.4396963732514346,0.38593481084200304,0.3962074830813485,0.4889375289562449,0.5993928323143877,0.5708696413353725,0.6794149731413479,0.6812652575829912,0.6789604516736437,0.7380658620944682,0.7066214921823273,0.7158494570054993,0.6788554151640903,0.7900812718313737,0.9462009417130169,0.7200697136217871,0.5938757216100882,0.5408184913611103,0.72012390361694,0.7307413010130008,0.5290037700200729,0.48305183666643836,0.4741269499898897,0.4596088819320473,0.4449822749825673,0.468977992063358,0.46637719024003127,0.4640450744007114,0.5569675527645277,0.5294190546810901,0.8515047619507266,1.2253650829477238,0.9107169205808285,0.6254214081458883,0.4939468624278932,0.5824875568973868,0.4806492843182263,0.570937941207956,0.5146170374109923,0.4907187157933125,0.5064123313913206,0.4917713409673395,0.7029444686832055,0.6796950264349363,0.841629386183328,1.299444997537391,1.1944590663953893,1.1697023032561213,0.7758954987396358,0.6827890035418354,0.6457896575147832,0.6074386981453401,0.519797704426,0.5868949727154269,0.5439041180877798,0.7938809033133656,0.5568745844467375,0.6537035826647294,0.8558969223536046,0.6327114257516021,0.6331570468454887,0.7188989239906569,0.669596092133197,0.6296134882000343,0.660962319549988,1.0546578999981076,1.7639915257607826,1.4836852428563332,1.2739912786472423,1.0471599679103933,1.0465970050126026,0.9327543947728297,0.7625653579720175,0.7832512093421784,0.7618506729324004,0.6930813196940615,0.6978196868715282,0.7468292776229781,0.7478804542564761,0.7851858960682822,0.7351901199134971,0.7305829034797362,0.7905113858615364,0.8074479933287844,0.7427596198322565,0.7918458574534046,0.9529633971098369,0.8520575675105172,0.8375008734306004,0.982087138443817,1.1202133581979914,0.9699513695455468,0.994618348329117,0.8757163670444006,1.2651242199536221,0.9519195627992818,0.870526859884657,0.9427141332056094,0.9985029677030846,1.7005297247752351,1.3164336292027154,1.4639529669871825,0.9280764620345703,0.9070141598264487,0.9803541946064637,0.8837542137144933,0.9763196174872435,0.8069092988451965,0.9570286747518554,0.9284467488409128,1.0889891329183545,0.8809979418230227,0.8797587708158081,1.1295805932120375,0.9578392845460921,1.0445094113382418,0.7628670490384667,0.7771027923038479,0.7841938529565174,0.8446878394914604,0.9070862121115941,1.164438232656205,0.9867785823433998,0.9182493926072566,1.0152546339119948,1.0954431055109444,1.0395310729985963,0.9632980166288195,1.1434239126669457,1.2336030662039266,1.0571471563566546,1.1536742219446545,1.3606066407136057,1.3773906357195567,1.1736978059278864,1.208803697397944,1.0864688225806318,1.0483689757789427,0.9739396262845552,0.9362948195471064,0.9583757763469078,0.869786594748953,0.852278052291689,0.8655357232614119,0.860715032446774,0.771309864727793,0.8221780154027545,1.009370526090873,0.8812617630010906,0.9132234418261339,0.9357182135431412,1.147034813207066,1.0382124520708242,1.0213494856872432,1.1749896122441263,1.2064834524644805,1.347276314700337,1.0395141241041892,0.8219254982043656,0.7729139092572491,1.050806555176429,1.0560556902418374,1.1108755784772273,1.0459215252160179,0.857725570037775,0.6940888637696295,0.6766316956911291,0.6420643934554534,0.734341322231369,0.7328340015014817,0.8086076064735013,1.2717135055618392,0.7966537504875582,0.7697303108206767,0.9098952737841998,1.0510775096980165,0.7021343260149652,0.8379843787781879,1.355911876901519,1.79672591030154,3.0441765244106946,4.394691165824748],[0.6317385874996895,0.6942587882824349,0.8639832455622413,0.5459224277972017,0.7125202989957192,0.6354336323565566,0.5843888523501376,0.6538492655550628,0.5312151248402277,0.4898049432239361,0.4830470178926225,0.5904108156772371,0.5057152114161544,0.46087177751869357,0.5083573116049488,0.5415502419970384,0.5148273639931087,0.4993892705238391,0.5395371824063787,0.5498507943395999,0.5789363200114491,0.7100265473782867,0.7756244994043396,0.8054027391083016,0.9948512806078103,0.643991045787901,0.537815358886515,0.5139800624980538,0.5345504076063895,0.5620311195664004,0.524292002058911,0.6349755270132942,0.6719142848889934,0.6252593537931587,0.6129075042069954,0.5436799954146837,0.6257652831480708,0.5856224783051284,0.5904635902662394,0.6212176089113882,0.6412131696696528,0.62257491187358,0.5942145309959361,0.9127879584580614,1.0855341502223697,1.3967143485872202,1.7116045839819936,1.0320045640998454,1.145009539437639,1.3883954816384476,1.4952618679901724,2.0943199245836843,1.8430661593531312,0.9504988486559074,1.602570343544475,1.404823878688755,0.9896760182595622,0.9218631644006166,1.3225753264591391,0.9987427019483324,0.7562452986996576,0.813147262710596,0.6047068088526786,0.6426281170534885,0.5906978212072423,0.592361990108678,0.6847675427664675,0.5674935682777736,0.7018887227460769,0.6487129456597017,0.8656294953731896,1.0363921370256124,0.7765090741183842,0.7500979071063983,0.6460620304276298,1.1217290138694775,0.5687033725213891,0.5880124870697078,0.5801303364472103,0.6312073041884212,0.6690750484541632,2.2186128677510535,2.2334167606305684,0.7854472716258325,0.71100166614368,0.7432926017302247,0.6271303111898515,0.6624125279138227,0.5572370970742502,0.6518733394828272,0.5936291477534206,0.7323867804937878,0.6234067014112448,0.6129833595933599,0.5839621964758145,0.6343854742986866,0.6406958717311407,0.606552826710804,0.6278969107189504,0.9055890074314439,0.7130756123735871,0.8288424137327585,0.721251561345233,0.8204017900350896,0.900445695991067,0.897350271875584,1.1810140077619458,0.9819881348474208,0.9750600176656946,1.077581155461435,0.8575583131244461,0.7359192963992294,0.6169669060836923,0.6088383914333612,0.5294858290089908,0.5266448353069848,0.5540037256979803,0.5426961259978398,0.5561845952447177,0.5183196493008706,0.5266265501204744,0.4990833687171227,0.49925543595278954,0.48289943157599113,0.5146814881879022,0.6205542413854958,0.7677924097627996,0.7566934574347915,0.88544855341501,0.8702093927299491,0.8741744412856798,0.9430071991661942,0.9058886125563475,0.9134648639529833,0.8652558458016537,0.9353063257122547,1.0771452949244422,0.8586721475942917,0.7307850909778633,0.6642133669155751,0.7971382596892819,0.8270829674654463,0.6330548555047079,0.60661200935276,0.6147032206468189,0.6012025731944116,0.5941152206614385,0.6134486438709236,0.6410714170061342,0.6317807844915805,0.7332915676780125,0.6951269946020263,0.9829479800824319,1.233469375969845,0.9809137190390463,0.7894826949811239,0.6435166002789214,0.7469542502800767,0.6488549577590794,0.7402202368230582,0.6851205989693461,0.6484149386176845,0.6543945578803493,0.6473650909464324,0.8642626779649718,0.8030931019634876,0.9608011221666461,1.3346387220732383,1.265049966178294,1.2566535789570457,0.9305868928830175,0.8139738756893897,0.8111237573090057,0.7872473006706666,0.6955753508072892,0.7733315920086691,0.7229030032072868,0.946497749850579,0.734644409110671,0.8528816593481943,0.9859856494631704,0.8275709629783815,0.8404094843725668,0.9105556534192797,0.8501470946230115,0.7936443812822502,0.7967010146083374,1.1464920925447466,1.8280630212274032,1.5435423259570005,1.3260544282519533,1.1375925388795407,1.1324578804016205,1.0456896539571758,0.9361426617441683,0.9813102580413564,0.9508178104310008,0.9168328309896544,0.9208190666585359,0.9638680122245716,0.9962453873828612,1.046826759563542,0.9731963737891411,0.9814938293848335,1.0539066164710005,1.055822056003578,0.9640029082144176,1.0337509145621326,1.196036388270282,1.0782076392593127,1.0504209649191107,1.198855161638439,1.3386933630231426,1.1660273197689317,1.15098279358803,1.056790538932557,1.4196232631071166,1.1253850524084852,1.0798242495188128,1.1346319516631413,1.2009459987812918,1.748750439607047,1.4962609675068022,1.5675112320188118,1.1242123618206485,1.136131423639481,1.2236974723617786,1.1363308294725063,1.205296568135149,1.0665549138172041,1.1963159300728008,1.1409913577714799,1.2754346132599508,1.1207681985373978,1.1152584140049309,1.3256502768874001,1.1436482930376946,1.182677491246842,1.0006885383090551,1.0334147785799066,1.0370016588284736,1.096746366659732,1.1449465936101137,1.3905108930140038,1.2067295805639833,1.1427026901046737,1.258861624756129,1.3096177176751718,1.268218535480817,1.201499281330562,1.3686748353635179,1.4363664399875191,1.2869143487181927,1.3897866624301203,1.5603115895326392,1.5656067964309102,1.3989668805481925,1.42197059365461,1.311948318497751,1.2881538575958127,1.2267599412848396,1.1880753518921312,1.1964109328930232,1.1154319340718226,1.0947893314323058,1.096329166252991,1.0820125006681822,1.0075693436169602,1.0424433019307386,1.1881456084885875,1.0801576930283736,1.1058702221696943,1.1163871795324933,1.3102263422936642,1.191740656803368,1.170407173999065,1.3439773553684011,1.3642210423381826,1.4858420977086275,1.2002002763528814,1.0169564080814453,0.9782579730282223,1.2415163495009434,1.2013218613637329,1.2404450976243049,1.1693997137995338,1.0417604744703048,0.880638645438254,0.8945932488334374,0.8300929963043409,0.9330567471676742,0.9549611690857623,1.031846651556231,1.3248738905240722,0.9742444032047313,0.9971876723094718,1.1193615952567035,1.1559042489314735,0.9217409654413642,1.1045697450758356,1.72766525186467,2.207201141217508,3.6576361714049024,5.254592303779577],[0.5521781699456988,0.6122886882578267,0.8522685503701424,0.59676392537718,0.7418897850469398,0.6390518432526885,0.6014903815174182,0.6163962756170825,0.5220992514274132,0.5090790673957608,0.49533817607411934,0.5776135406820642,0.5106361458120681,0.5017961182314052,0.5027355344620157,0.5314007632427374,0.5652577937681713,0.5510115338380347,0.624686867249806,0.6355266104950953,0.674892635955161,0.7831800723984167,0.8727230557923431,0.9268005238618032,1.1129488175374749,0.7607453616172682,0.6463885829794497,0.6025771917462338,0.5982777767178155,0.6045908483598481,0.5486206378476081,0.612986764535484,0.6436120638891081,0.6110984788264123,0.6188649419352055,0.595622067759219,0.651000851063053,0.664982506395818,0.6751981363889287,0.6929872835329591,0.7357640874648125,0.7080905562297642,0.6899007431032701,0.9900361856900107,1.1519141020147978,1.4402525798467132,1.7810576709995338,1.1159938166138288,1.206747437504971,1.459758696940175,1.5727078174469045,2.059200509054241,1.8615983260105002,0.9978347982967685,1.679627319484553,1.436255159062456,1.0391753174707818,1.0043403422890687,1.34920523281698,1.0828895921905923,0.855894496217031,0.8689154880864584,0.6443498971449405,0.7045455949359835,0.6753079037280362,0.6688613860671122,0.7283659011049552,0.6161678815950675,0.7511942754991976,0.6860040510341393,0.9229878914041657,1.0706484785703465,0.7983804437601132,0.7846529248959818,0.674765247793619,1.0411641277360815,0.603482255586874,0.6143102784732548,0.6226880219420439,0.6921770871435907,0.712146980613538,2.2545096855911932,2.2044367701651653,0.8588734885205614,0.7633204295411926,0.7914478291372666,0.6872588209101571,0.7130629508761883,0.6164426096371577,0.6576695968090017,0.6200361180842797,0.744829737976258,0.627548535792175,0.5711652147150742,0.5578447848396355,0.5923539360021923,0.6063640623696183,0.5776730772297423,0.5839069157903368,0.8030109119036958,0.6598199451143594,0.7643866234555661,0.6904140117898239,0.786089206175576,0.8871343245960598,0.8832432375901248,1.1248355290661876,0.9611060510127936,0.9433581125237142,1.0339078321707122,0.840405577459577,0.7503930414099487,0.6328785190844479,0.6662569619784815,0.5888295186035506,0.6151519867971907,0.6646249146585584,0.655415272273146,0.6614503730060334,0.591966654422511,0.6007417723774914,0.5835124822701515,0.6062630247830305,0.5762030617974788,0.5811686730418023,0.6966834608150393,0.8113733095576489,0.783335934164433,0.8958375199066408,0.8833916726689923,0.8869352252493146,0.9372773473721996,0.9249143994115037,0.9253019430137647,0.9015898817956344,0.9730376448314961,1.1040110384162134,0.9313217096675137,0.8036005576491948,0.7557744435059182,0.8817001143478008,0.9358126186285756,0.728957611336234,0.7040203854240885,0.7077085377634442,0.6785680286762635,0.6741011133657114,0.6712418538965873,0.6636435040965201,0.6279707241870612,0.6951044948653949,0.6310847575201772,0.8781715034015453,1.1601448304109871,0.8886572407769275,0.7054837977940093,0.603753157577597,0.7064527991721012,0.6356724701545222,0.7365264286133639,0.7196390410112873,0.6993082490514224,0.7380512659008339,0.7218945489618379,0.9237760527769822,0.880363557473767,1.0405688850312542,1.4067368221545435,1.3305131239708006,1.3136437652794293,0.9954666692284952,0.8804574326032083,0.8665578840804049,0.832928561735311,0.7375495889895967,0.7787100783988367,0.7189499023757784,0.933542608873684,0.7587200618878003,0.8534718890889326,1.0258472084592476,0.8388254299886785,0.8610071064648358,0.9478952533957442,0.899696394105641,0.8583451420764661,0.8678776306093436,1.2123539501498044,1.8792753828887572,1.6400835762697437,1.4071868920602604,1.2026460212339285,1.21934511046645,1.1094775878393432,0.9673542191055148,0.9896901941850357,0.9521258022882201,0.9171019723032817,0.9243133781175311,0.9579880453394708,0.9567334576964901,0.9808006766392187,0.9378655379516271,0.9519730895577535,0.9877734589981383,0.9922490628578226,0.9520655802059891,0.986725147921537,1.1133899762988715,1.0499193532636748,1.0289520687556204,1.1687578245153079,1.3110330237718157,1.2438605662249125,1.18740207361197,1.0115140497410602,1.369780676404894,1.0372729947901174,1.0166556379949536,1.0636763035408103,1.1321483931524314,1.693986271293907,1.4537379983454395,1.5045562073131247,1.0517453999345083,1.02601713900433,1.1157902688601813,1.0327322287907847,1.1232747021280498,1.0005100287739002,1.150223812637029,1.1199395010563638,1.2546795645369246,1.1090337203942022,1.0963038262588092,1.3219290379792368,1.1269356816248195,1.187755422079756,0.9894422954560138,1.000822649647032,0.9920212278815254,1.0305974607956594,1.0484394040387202,1.2616348882038297,1.0726660885533403,1.0337380514966612,1.1230719345111404,1.1595207040712185,1.125161155756148,1.0864107329131683,1.222927262642208,1.2886559078715505,1.1596670613437885,1.2523536769280466,1.4123799713126721,1.4522527578257223,1.2944744554494412,1.316029687485376,1.2127794780858223,1.1696127400106566,1.1126463569142326,1.0736415963268748,1.0899998257655634,1.0308540453604587,1.0015765185198193,1.009489968801319,1.0036660524648473,0.9510970068074333,0.9855564647003777,1.1246008246419212,1.0305673229848022,1.0833581160130004,1.062685878187969,1.2540436638512606,1.1596753912457196,1.1471896565513466,1.280020624782416,1.3087159721871902,1.3901619168168893,1.1698994661005595,0.9935661818562954,0.9709754675187404,1.2487498257659275,1.2262743813289967,1.2607196908759586,1.2069574111989403,1.069780833105729,0.9079761308273782,0.9000787335100664,0.8466474969289901,0.9257660423106214,0.9022305981954074,0.9497986304466268,1.1682914332472338,0.9301674393668319,0.9206411246694699,1.0201494010559826,1.0873098304133084,0.889527244200291,1.0299817812370506,1.616128972126454,1.9577721993212842,3.285058770868945,4.867214525026236],[0.47333665073268116,0.5587797852597672,0.7727315730253311,0.5816000109175796,0.7140214685206436,0.6117118123094367,0.577597201157272,0.5899721117157376,0.5228623413959599,0.5165624288219663,0.5089509318747859,0.5927345676368195,0.5101302553777357,0.513380400283282,0.5241993019386224,0.540849015610553,0.5577137267857563,0.5477975800047288,0.6079791452946923,0.6138000950315557,0.6473698084611738,0.7571148562995148,0.8294907522231729,0.8520598656145928,1.0261833016807085,0.7029564845791824,0.6053857194994635,0.5802071790907949,0.5810775614835502,0.5810076651681512,0.5513515388379785,0.5980695439617095,0.6348337823206783,0.5992016746834704,0.5930603012168231,0.5637130697444018,0.6136169601457208,0.6174671136284083,0.6268590256672495,0.6401665432319668,0.6802872259378813,0.6732708718355361,0.6386107306648549,0.9545317059968628,1.1049607853719758,1.4097729950224454,1.7068844835954387,1.0554388936108952,1.1728328385780198,1.411522959002977,1.5087724381865315,2.121568653396743,1.8597102894104063,0.9692131540796723,1.5995295640129967,1.4191632344759457,1.015336847927333,0.9337332383092974,1.322235007257473,1.0233788902852063,0.784567176247925,0.8319255705431021,0.6255856955515665,0.6762816298061242,0.6377609923725274,0.6352138172720788,0.7221982999271965,0.6097969734647669,0.7440042215299567,0.6892045772299135,0.9260583037565745,1.0728462522397924,0.8105691435611149,0.781488015097076,0.6791423066680177,1.0643058401508043,0.588746632057511,0.5954494848039339,0.5891794658784651,0.6481695182304914,0.6617170937822545,2.2431641308984247,2.2245898965928816,0.7722496480340889,0.6993260024617488,0.7329715145162554,0.6400882806732775,0.663610672949899,0.5814162795685486,0.6417346851328574,0.603268061587269,0.7355648144882007,0.6272515531089717,0.5860210529769089,0.5734821372474557,0.6228674812998352,0.6339682199388708,0.5890504938302252,0.5874183916698483,0.7879405379102612,0.6280027643162707,0.7092624003020332,0.6370409600892311,0.7039713744194619,0.8011766476196057,0.8009575179717926,1.053164785127317,0.8611180350972589,0.8568183699549102,0.9721742735076299,0.7721779691409311,0.6944502910109479,0.5943085611203329,0.6291926904557871,0.5704587883146923,0.5865072741787966,0.6330343271276524,0.6139690725834003,0.6225403824928991,0.5781867866029128,0.5880269131219573,0.571755544318005,0.5723291292569289,0.5532578047906422,0.5663057564342732,0.6531646923755307,0.7617659387740764,0.7244780781943375,0.8160338987111925,0.802174889196084,0.8047778675271275,0.8451885616752425,0.8377930719984401,0.8421798571942775,0.8279630904441162,0.9235353004325273,1.0773712675803724,0.8719143649724931,0.7678374711046586,0.7043565291349714,0.837665590664525,0.8714152103956981,0.6840601227919388,0.6587505913958512,0.6612226674852183,0.6393220271392284,0.6335771351199208,0.6274062813622244,0.6228413192327701,0.5992919255627609,0.638886346716443,0.592484141004235,0.8311225218054601,1.148934508596372,0.8795492915813109,0.6650131649954636,0.5699675483199343,0.6494270804880045,0.595802847262228,0.6790011813300318,0.6679863430874409,0.6537882335648233,0.6868322021098369,0.6697046766282632,0.8676863839923126,0.828670250957781,0.9646030234643229,1.3268862723592223,1.262696355285813,1.276991410991397,0.9355783819107886,0.8295499624247246,0.7990923002218036,0.7664419276486032,0.6711931968308379,0.7164231914375292,0.6772180775350917,0.883885046440069,0.698392210428535,0.7874050908789217,0.9735994058589867,0.7607124278689323,0.7722777457881598,0.8530360852628166,0.8195975209154378,0.7836258680510143,0.802972198822284,1.1285177740972987,1.8407696756138994,1.5033513768874815,1.3069101587477148,1.1507882466095436,1.098001164031734,1.0086291863735575,0.8775892930415393,0.9092781872243153,0.8939329658006884,0.8048821474113136,0.7958534111963106,0.8441079526120557,0.7915497806267224,0.825144989619177,0.8106986942371923,0.7964957505885535,0.7970587608087532,0.8305272193491272,0.8117501209518547,0.7808095898910336,0.8947766858642717,0.8576032369226021,0.8044573313412718,0.8763400300910876,1.0592172807335472,0.9301068473925046,0.8795861236295167,0.8451121151210739,1.1430991609251686,0.8796203014637902,0.8048444231905645,0.8249404607045193,0.8774731264004457,1.716381779136248,1.2176700327397862,1.365006644394403,0.8169342773491923,0.815877997614934,0.9421570846704436,0.8558128852530571,0.9039390176423738,0.7974686989718989,0.9880337769366058,0.9200771632977317,1.089797184006858,0.9309698689097273,0.9696770211778405,1.1229744515110895,0.9950333080758599,1.0935724442919519,0.8371516492565723,0.8475830817706755,0.8381730728299789,0.858177845413839,0.8952424490277231,1.1028882794667587,0.9529686491361694,0.9043166045521086,0.9501877232381881,1.032683653209044,1.0096823560652144,0.9230066063975352,1.05286931483183,1.1498004948001428,0.9881462052456893,1.029001619532436,1.2202100264013345,1.2845267229496997,1.0406496866761543,1.0465309726074015,0.9457938647978161,0.9200232396752838,0.8938694851651268,0.8417959268256683,0.8316537799397097,0.8004184834171727,0.7960152964202757,0.7799577824639216,0.7833846398623551,0.7628509798116931,0.7881165466553101,0.9322510542165968,0.8671820086028609,0.9112665067913309,0.8656072219603751,1.092339736470615,0.987094740960239,0.9901960421800485,1.1120989046251442,1.1607341984707336,1.3035835631860035,1.0511128297884524,0.8621853223166833,0.8562682221543838,1.1429439554069414,1.1325010771440487,1.1445906422321048,1.0950469850111983,0.9224418359905341,0.8075968827153294,0.7961809524334208,0.7790648012493018,0.8331248999597978,0.8015908469645874,0.8387169910964516,1.185680639110707,0.865737411516484,0.8004686797717826,0.9011676938565976,1.062498899014392,0.8000769304684135,0.8651871872217504,1.353546553572433,1.6031754688162054,2.7832981256420535,4.105826090644619],[0.3650231198495502,0.38524213852300265,0.5945809658078157,0.399711819904,0.5444981651103632,0.4754321403155668,0.43285587265039593,0.4626522683702901,0.4267780714373297,0.4060872496814941,0.4143397005798041,0.499100545612382,0.3948533862527704,0.4124177402027196,0.4269431922553535,0.4234098719891342,0.4670487564134782,0.44787721506372763,0.5163214368470814,0.5087700338448761,0.5511875144544499,0.6574343206022732,0.7656394856475794,0.793930104272514,0.9869535743778749,0.6265094191805342,0.480346864369477,0.45489117889105674,0.474617175230041,0.4698860163166546,0.466253150472051,0.4964400156061114,0.5481578354925563,0.5018626612958547,0.48587909009763236,0.4516636521376138,0.5040821052590693,0.49990679474535865,0.4989249679253575,0.5101132409154363,0.5632272816263054,0.5498805774829356,0.5255098495396978,0.8746954310151889,1.052265227303962,1.3671248376097027,1.6949983904313757,1.005091397010239,1.0859739753110385,1.3317426529246916,1.4111425767306836,2.0270910319344413,1.8388170028542177,0.8597788033411408,1.5547491846130457,1.3045725070425072,0.9052901058095973,0.8797193612068841,1.2569332168240592,0.9044434360906506,0.7374637749651242,0.7296369901250013,0.5170218493192494,0.6193361307319708,0.5384647659995933,0.5320920696164351,0.6556361592788881,0.5216598912832145,0.697277332238612,0.6389789152259497,0.8510209480775931,1.0282908105819821,0.7705306254772745,0.7550364076473232,0.6158338382489214,1.0675328138927587,0.4991517615469002,0.4990716002406477,0.47940889653507596,0.5349922157755783,0.5544567009669762,2.2214302742892915,2.17717132161428,0.6813699931586223,0.5958592394850629,0.6269411834799119,0.5221978518097395,0.5611184944566959,0.4694701577331224,0.5467028513297095,0.5100202525100772,0.7278209866750006,0.5813595057837548,0.496071817372455,0.489023708071441,0.5527491974390727,0.5654058974933472,0.5046077463684115,0.491140738836533,0.6980698478218944,0.5302717064225803,0.602231501696692,0.5214629365526839,0.5937269832954558,0.6787524841316956,0.6811720826890862,0.897068020894577,0.7176965203104898,0.7177475568801024,0.8648041388881118,0.6371300120168184,0.5441087423016532,0.4456770805476768,0.4916562897010618,0.43412679496668677,0.4595286859771227,0.5029415937039,0.5067984745806401,0.5640401974096239,0.4945384258646195,0.5169816777811566,0.48300634038179857,0.4785402018047325,0.4305652639097465,0.4305477424573922,0.5186020337849062,0.624243382761623,0.5587787995869756,0.6564397673678958,0.6570426272064681,0.6601216282464215,0.7027650130115697,0.6822688322336886,0.6803122442323449,0.6704935370581401,0.7960514531795567,0.935726586696487,0.7322530913577316,0.626262116935913,0.5725154124442116,0.749533240182559,0.7690377546905905,0.5728163084731049,0.5341866623671214,0.5285184169552892,0.5106705739756426,0.4980621078884773,0.4970122768240759,0.47348502787033964,0.453356679938212,0.5270571819255019,0.4813508132003757,0.7559421286128022,1.1548043973206863,0.8686025446941357,0.5663745012337147,0.45993519619008577,0.5304588885844903,0.4739017361997629,0.5406983662609727,0.5232761109523741,0.5161508326961651,0.5441115871914396,0.5306654351931301,0.7324757301830969,0.6912062071041157,0.8573915941773351,1.3027566093264875,1.1933126481568204,1.1773526123291798,0.7769783771421552,0.6903318215830749,0.65294814331482,0.6193638518845498,0.5251716658907171,0.5765404645219265,0.5389586207559582,0.7597528235441074,0.5599336241144384,0.6255849227472938,0.8746279892054213,0.611145326949013,0.6126690531346782,0.6991416945299593,0.6625655473664711,0.6517095096232519,0.7113324037555121,1.102594674447631,1.8014878799717704,1.5258833547447224,1.2874090408273327,1.0370217727118682,1.0496897561045073,0.9192525658662745,0.7403687594001974,0.7702143290232487,0.7478475192823534,0.6614878015052692,0.6647657000690527,0.7217051803954939,0.666332744329286,0.6896824085193795,0.6752899469777582,0.65537144678163,0.6776156911072644,0.7118249612884984,0.6730023021590351,0.6807046393550884,0.8206321216355136,0.7723839247887835,0.7431880985588126,0.862964556580245,1.0153764272130483,0.9194743369982639,0.9369593506285935,0.8054883274867094,1.1458146805381413,0.8030654245860848,0.7352646514303257,0.7970781896823714,0.8615368035865945,1.6597205701281794,1.2100826895344163,1.3576116889490557,0.7906983636322463,0.7525317842213562,0.838392279278723,0.7583202705096947,0.8293755825085529,0.6879415802528889,0.8675977581331343,0.8555035243983158,1.0278391840792989,0.8190646259083072,0.8402636001967361,1.0630339073569206,0.8950775653060633,1.0255499783069317,0.7102631717365137,0.713991967038623,0.7202439987911409,0.7390732002448122,0.785255584982391,0.9996969343388586,0.8459103413550936,0.7962611283540088,0.8552829339736655,0.9422808561228085,0.8997624182524512,0.8294642492384185,0.9762381618270805,1.0826130541018186,0.9115748447564874,0.9730652960776658,1.1791612985826379,1.2459865062414552,1.0108199884582798,1.0290217602064826,0.9161440600887403,0.8715175058784738,0.8164253956411158,0.7757167174038532,0.7879845251823158,0.7283959349514473,0.7107806573053204,0.7169271188560185,0.724410071077317,0.6660399640616871,0.7245488022226844,0.8798948506052912,0.7718341602200876,0.8253468618128591,0.8153718734394061,1.0461040349681936,0.9292761092295563,0.9194489267968514,1.0510301566232139,1.1039507260613348,1.209435402996823,0.9321354898551542,0.7255124270381704,0.6786824906272868,0.9782164656941843,1.0207540429983044,1.0626155536741557,1.014909923144649,0.8305516748358144,0.667137094019369,0.6509962671901913,0.6186612066661874,0.7022015714302959,0.6645433283121813,0.7156314410650438,1.1725615806986127,0.7571003376173568,0.6761223571226923,0.8126632145397984,1.0181455054730666,0.6522895051510537,0.7742529702777631,1.138196270052006,1.5193532613384486,2.5694940568888414,3.78063483488113],[0.3260522939674175,0.34886007844732264,0.506746623901449,0.30522793204089094,0.4752560443852699,0.4159646222821778,0.36626562003395424,0.39232426108140034,0.3591435992585569,0.3303138449977644,0.35633278701864485,0.44725321719766087,0.3317241489851098,0.33863575203780005,0.38985040252772973,0.3664431326911754,0.3940220420605977,0.37939529884573814,0.4576753192187392,0.43271996045069006,0.4767242686128118,0.5940273069769567,0.696257952018816,0.7232934761535521,0.9433396647962341,0.5731614146262304,0.3898433734072046,0.36653520829316705,0.3913527544984051,0.3933366279625855,0.4117892451363062,0.435836915088847,0.4945158122850434,0.44779539601268825,0.41813105131731176,0.37326974530921,0.4176349911232465,0.3912198550287553,0.3790388589862547,0.3792801068670283,0.4456603800276252,0.45127245181999354,0.43314626318310806,0.7779430567472777,0.9669092986141592,1.2955780359418196,1.5791536190518214,0.8938985971103272,0.9751154840308383,1.1995439883919665,1.2447629016543877,2.0538805137588074,1.7864167182167068,0.7614959189820653,1.3941792973339917,1.1879540417280468,0.8107117361218268,0.763274376150979,1.1843637900829633,0.7909862421066922,0.7149193843902485,0.7021001693832586,0.47603618159787786,0.6029607729588611,0.5003339843264949,0.4747640901540265,0.6534568158398758,0.47533014961932646,0.6705727306364547,0.6088502047827736,0.8354005012984982,1.0349864494348264,0.7586002978306687,0.7240324961640908,0.5825482155677945,1.1113481236753933,0.45682048571419465,0.4409046231730252,0.4027383929758951,0.4425619794441076,0.435333896159858,2.14276350503323,2.155570632071094,0.5148399125953722,0.5182086089143099,0.517976886038137,0.4130960962593091,0.4759763185102609,0.37334028848847123,0.4667680255813854,0.44502947475604404,0.6953044367356355,0.5248662621709608,0.46220255561829415,0.4510010822382888,0.5220875464903662,0.5368253381166689,0.46127153950880845,0.4569825490742205,0.7021478502522408,0.5005711919004421,0.5615277696511654,0.44734201922402084,0.5348622882717724,0.6211290538756442,0.6084147482654936,0.8397990068047742,0.619809227704716,0.6353025004764308,0.7959829059601704,0.5684174673555051,0.4570676229564356,0.35538724559796503,0.37653659419185087,0.3497380744656604,0.3515007296699081,0.4063301599882963,0.39051271014018446,0.5227151750939113,0.45054200677818723,0.4523082655241537,0.40979542375021255,0.403983676038153,0.34197162222298344,0.3378664520019561,0.39892402738185,0.49208194356175466,0.46411479316079524,0.539747906011609,0.5552653782571565,0.5659261864589247,0.6302384156722581,0.5775535982159042,0.5798850938732305,0.5607991006344456,0.683113076198304,0.8307676254226374,0.597158537450897,0.5069484266939217,0.4451758361392188,0.6539059737997441,0.6369826080084048,0.4599382312873676,0.41042376423985644,0.4123382870741354,0.3948663892342909,0.3736850081934142,0.3943753389382807,0.3757990328258153,0.3803043791003844,0.44956301852977054,0.4433884187333733,0.7505611151604432,1.2170301785830573,0.8898010020003099,0.5288694184615702,0.4118719200638352,0.4744541785312526,0.401058779941803,0.46946173413862263,0.4107116810081019,0.39918496033646145,0.41825685860910555,0.4034119879377182,0.6231853787275355,0.5601635827732142,0.746718427106362,1.2074731334031346,1.1006600526371264,1.0972027029435154,0.658533924126817,0.571576980561493,0.5290642823238576,0.511544555423219,0.42132272865820963,0.4721464006698395,0.4417671200384534,0.7075006942186981,0.43461983858450515,0.5319691834205156,0.7810358735782676,0.5133808648887136,0.5046764435732878,0.591673411189462,0.5699750102168702,0.5603490264899962,0.5667644367733785,0.9749634148506875,1.664938953945999,1.3850404720677003,1.2210194376198569,1.0040390415096103,0.9484277933304912,0.8485836901736215,0.6520740265091446,0.6875655575557905,0.6862768084160304,0.5739375240909815,0.5817698427388865,0.6457792376407349,0.5757157031380726,0.6015725631276785,0.5871466086615285,0.5649051619620417,0.5718547019979626,0.6027040216152295,0.5800912283358622,0.5723110093767334,0.6929371101787466,0.6355383286512463,0.6236526286763642,0.7095170342820496,0.8286963759150231,0.7245002244007555,0.7966255299394293,0.7984188120941326,1.0395323829947531,0.761852020394195,0.659211636149783,0.7176362070974291,0.7582059465791939,1.7581773716358544,1.1391875336310306,1.3718799209160846,0.7150646447752322,0.6752676576311424,0.7717238486619409,0.7005904205526898,0.7336140145467175,0.6060315598210098,0.8072255996908173,0.7937350766936636,0.9945122500983863,0.7475474597251185,0.8022474440697881,0.9231005950916371,0.822754010807927,0.9612271877124355,0.622140854047534,0.6327822817922859,0.6456627133016005,0.6807770676330441,0.7453528079254207,0.9644903120251297,0.8144732947251706,0.7563357576919195,0.7801893374533292,0.9178056303585377,0.8378771834406616,0.7463029060347189,0.8995399021333335,1.0116566025325642,0.8124042012230164,0.8654671418908277,1.0896231575709054,1.1290620154161042,0.8755835449987144,0.9013582304694945,0.7881145185254409,0.7550840385256501,0.7084105584165621,0.6696568533012464,0.6807246752746574,0.6205693138624411,0.6258520956293793,0.6271139137524722,0.6462514936118926,0.5763388593234487,0.6446884697425639,0.8000092369528636,0.707678512206508,0.7292262722778738,0.7327128546085602,0.9746687312960796,0.8712263813011231,0.8667273515529701,0.9892072389089768,1.0670770674819512,1.1538070906240667,0.8825527638597069,0.6771407136048181,0.6145829599891384,0.9205104811754562,0.9531620000006578,0.9915486002687697,0.9657013292499901,0.7560683767754838,0.6226297276231704,0.5588906694094696,0.5400398128866303,0.6331058680229524,0.5965006040963251,0.657200627260509,1.231526555140551,0.6832369567640331,0.5930171339744489,0.7546187919433738,1.0137318563163042,0.5180559726783359,0.626432090325102,0.8518963551478318,1.5805587778502352,2.3653335316066504,3.249230943877923],[0.36175817068807753,0.35213789730966866,0.4839981341555038,0.3344089161870835,0.4842680180686118,0.41296194847518086,0.3578232278481192,0.3959650639679843,0.3649979552406161,0.34164636000766363,0.36083720540390923,0.4405846242473937,0.34142914656186735,0.3477880262480752,0.39886656992260255,0.36576016204799844,0.3965178086383817,0.4033786108777926,0.4665915050360244,0.42104498257948403,0.5074464134254696,0.622537653439183,0.716589072278695,0.7525557489185678,0.879017732432278,0.5696905861827547,0.3958957803313868,0.37944028575164107,0.36998710195868206,0.38027348750770507,0.42027387940981625,0.4275424737614227,0.49814608760778,0.45770753835513667,0.40823480544770313,0.3616908301439177,0.39880807372959326,0.3898650817130423,0.35978984709505,0.36410144316557463,0.44993513791823836,0.44643452529564714,0.4289686155854145,0.8076196618856385,1.0240034040996742,1.3525883333712028,1.651884889059715,0.9480117465477554,1.0083920317122474,1.2132757417885491,1.2264237435648313,2.129592518683166,1.901049832876313,0.8092856055363206,1.3104796586247607,1.1420474677675454,0.8303822339643164,0.759601489858321,1.13850469325284,0.7116081047764066,0.6925615827159188,0.6433352634348398,0.4855904897847738,0.6838428149465278,0.5168818745964677,0.46018303950067,0.6964571051952333,0.4905308039242509,0.7008048671656376,0.6261363646766489,0.8060930355463396,1.0417469487341355,0.7697064298421084,0.769015926734052,0.5890659715166444,1.204173843407316,0.4702558541206344,0.4529462763492889,0.38407919447812716,0.4074899224411289,0.4103654045526287,2.1478075251198088,2.1809021382168603,0.4862476312612455,0.4805241014030301,0.4575811245293711,0.37714340804925606,0.4545796418488457,0.3589334149653217,0.4692118782755904,0.4403011676919165,0.731239911586822,0.5632372237032066,0.49330146011793524,0.47500831438907876,0.5542729406234786,0.5610812415131469,0.47257697526673753,0.45555619913149026,0.7126990330445235,0.5025519220112993,0.5577015082486907,0.4323989713004069,0.5188603051273274,0.597772788325647,0.5896701113389289,0.8061717288878272,0.5916885580118579,0.6141683085354571,0.7924726330620234,0.548482563858287,0.43538438813060265,0.34554937781544104,0.3711001138321291,0.35413977402526453,0.3624388727367731,0.3893152770576427,0.41520346919363277,0.5358712037870224,0.4821401034357519,0.4788756786180398,0.40293469614430305,0.4464106301210661,0.3610858950117177,0.34427779543017123,0.41451437343238523,0.4815182882874425,0.4562759341122321,0.5100780295002105,0.5302042434183758,0.554262115325484,0.5982935711117625,0.5600054852822288,0.5586131634977725,0.5545669403881941,0.6886185114086599,0.846488611486182,0.6156117041200109,0.531373939071562,0.4981828211331774,0.707004111617247,0.6758489598859834,0.49463577028854916,0.4399361703393782,0.42250860588793876,0.3943969416492647,0.37311758674502576,0.3858354354702609,0.3562047062793104,0.3775025919926652,0.44228614307766917,0.4491575842282505,0.7936431758263288,1.352176154681893,0.9548559901965062,0.5418653723025937,0.4120669873606395,0.4586515852302368,0.39080830586830384,0.4485362481689149,0.39723044481890846,0.37428511405964315,0.42218653299927966,0.3943332081369648,0.5895749293696676,0.6171577041945395,0.7866126653869369,1.314361077253247,1.1659500848437538,1.1362608277394877,0.6781623156390458,0.6016991887198923,0.5173430993209414,0.4942767605054483,0.4001998646772949,0.44421630800533135,0.4201495996398794,0.687146739159068,0.4076680497367661,0.47987485519695444,0.8198857694748056,0.48521772602033464,0.474725773315478,0.5619303686295591,0.5532860213766353,0.574548619360609,0.5848481809463668,0.9945577366696796,1.6671940896235566,1.3939960365440618,1.2308983153189228,1.03831620290537,0.9839012728981048,0.8685371883270302,0.6592631514374259,0.6913583836672428,0.6884147334650185,0.567223967697721,0.5787184546979861,0.6303390601356306,0.5599384539719409,0.5847886508047172,0.566264582323419,0.5530204542855416,0.5646204871485518,0.5881220444734951,0.5704584645635341,0.5790373751050568,0.7059324527873889,0.6353953369082903,0.6390586215646568,0.7401808651666648,0.8455090277753204,0.7448829555984238,0.8240724324396376,0.7758234639375051,1.0907418308747543,0.7854690692825957,0.6777118969417155,0.7507949613718907,0.7982817225334384,1.7202694638486324,1.1783348905352617,1.383358308885195,0.7209822168385251,0.6809492055997246,0.767999150398747,0.6969100347009345,0.7470433592605451,0.6032427286135685,0.8019799183953277,0.7919076886903389,0.9923432769797064,0.7378271384559529,0.7987289299576124,0.9481876120575304,0.8336756270959575,0.9767777314502969,0.6168890869293595,0.6227576315198429,0.63191877017148,0.6678736078588124,0.7407264316605119,0.975935955874285,0.8228032233424329,0.7472539051933311,0.7907713311690024,0.9426015642415212,0.846964221759459,0.7518855942003005,0.9265994736760202,1.0373391677600243,0.8214943921184699,0.8966308911584598,1.1355078870373314,1.1470907875475875,0.9129487246505279,0.9548902113215627,0.8306492354180555,0.7942557221503509,0.7244583961858934,0.6896730747575568,0.7124538714282667,0.6344875004633695,0.6356145941806841,0.6422053256144551,0.657740176624116,0.5803351273063078,0.657102937178943,0.8286926545786172,0.7232366472017756,0.7497278673984926,0.762063205670095,1.0231183781959103,0.9175871319135863,0.9001169815750015,1.0558646468330004,1.1150152410696916,1.2012116718127341,0.9033257705321441,0.6777525084529153,0.6065069316463961,0.9018038232740303,0.9506411697235354,1.0225529726022573,0.9733636031344515,0.7601106267117094,0.6150129696380106,0.5459451397750618,0.5274746199460267,0.6066546575541211,0.5768387589714733,0.6586776744787366,1.3166361494745649,0.6658739670567319,0.5872451103718681,0.7824512843255532,1.0555741877888198,0.5006271691777374,0.6094317271752746,0.8754865359829139,1.775136588396739,2.549293248212728,3.4198074330738253],[0.36574225178800773,0.3459965261982695,0.46334723961492585,0.39100974680175893,0.49907773559529084,0.3959625345970809,0.33980496789073444,0.38788350097726276,0.3531188913702795,0.32210954962115795,0.3218388105138596,0.41590119774098755,0.32587302537400203,0.3184789337863149,0.3928893860922991,0.34841927919016613,0.3956331843541739,0.40006560405416947,0.4758283721364816,0.440756042840796,0.5023044945329318,0.5751158437832744,0.7489454603174486,0.7793228383157317,0.970680739994195,0.6683649946006696,0.4165337244280968,0.37648690707072496,0.3611876228968858,0.35353136178346417,0.4172593422086127,0.40501105058224574,0.48437909868963575,0.4342959414940061,0.3919354407143084,0.367760319010338,0.38265588570422165,0.3700918171309077,0.3548442758023541,0.34602738789645987,0.4502780629716825,0.42112961018373696,0.4445507466442812,0.6978387889617192,0.9919031597425161,1.3002850215065391,1.6053170934301442,0.8766983561879417,0.9106548926167821,1.1264750317405645,1.0873542098884756,2.0176684727555467,1.8408558124783188,0.7269374476183694,1.2828920997744109,1.0352199026295206,0.7824624383485245,0.7189495733225785,1.057755960073379,0.7315807849370745,0.8016976702044024,0.7163252569065952,0.5066430591756828,0.7161768689544284,0.5628912281210632,0.5101672681667679,0.7197020229731348,0.49269128503742915,0.7386202432185082,0.6379793735641937,0.8095271831639086,1.0633618816735848,0.7885780677996654,0.822671950099885,0.5900104062341542,1.261375005078515,0.4730699507633164,0.4472453969841781,0.37191182387736943,0.41697064076436036,0.3870932341266176,1.9902172709790635,2.0485925666559286,0.4600429844395517,0.5544044843749937,0.4967295764962298,0.3747360688913553,0.43661572474976434,0.3533757986418449,0.43727790503401975,0.4383505442823853,0.7437270179626335,0.5649408827628277,0.4857936695909338,0.46233687782159544,0.5543022666084997,0.5417577491841159,0.4535086136894238,0.4320673469220909,0.6930988322461313,0.47097282522899775,0.5387888919691524,0.4087244470691696,0.5162903487156143,0.5743797277588429,0.5617982723898366,0.7636414507406429,0.5455742954780313,0.574105258220798,0.779734823596474,0.5101780669406766,0.4187579780971539,0.3424615750892729,0.36566987928874223,0.3318337469635867,0.34636900283992694,0.3848572765074795,0.41959550038124954,0.5406294423373226,0.45253310567151783,0.4680384999817752,0.3860038749868456,0.408058062519285,0.3366539959900369,0.3416304226628952,0.4020993490976537,0.43430293087332417,0.4576535223069176,0.48004039755007205,0.5068788723924609,0.544823984621425,0.5995578135796471,0.5396468550670498,0.5525589983495248,0.5288762203544723,0.6137923343683531,0.8091097430704435,0.5672728700670523,0.5303941447645478,0.48821212002330194,0.7624367587055283,0.7218887568432892,0.4826795072241859,0.43286382305710425,0.4249747694689328,0.37291159856785927,0.35694374087821806,0.3766927811863655,0.3473933802636836,0.37196676597620004,0.4505929728207518,0.4471026899734585,0.8124056388860659,1.4596037870231777,1.009729273513795,0.5433361281842121,0.39546190281614785,0.4543156012900796,0.37471162511474465,0.45093813368144764,0.39929702102667514,0.39205888900126684,0.41489791268622644,0.40654266235157643,0.5833175939687513,0.5731096400200731,0.7674752210373913,1.3211982165503968,1.1382028309116952,1.0838064543677546,0.6372424855772016,0.5449839152664548,0.509664863921553,0.4584858342144022,0.38852832822191274,0.41412192948261045,0.40036336324220523,0.6375764597917942,0.3905095104196241,0.4707195487692267,0.7433454803954714,0.450615433999297,0.4617217902580762,0.5427535719038451,0.5336841133163648,0.5479472341399885,0.548701886589687,1.0048354528009003,1.6159227612044074,1.3898714876335856,1.282865059554234,1.0321296553374981,0.9749687807045067,0.8452713046501843,0.6383096027339271,0.6761986859082372,0.666675780548288,0.5536444416298794,0.5660872623314528,0.6314197282782748,0.5336909363290144,0.560977221864384,0.5447439270555671,0.5290512118870121,0.530035972963291,0.5498553540158645,0.5458983673505768,0.5480877808622137,0.6718791798935154,0.6049903538665501,0.616983174519291,0.7164175687456242,0.8066656690242596,0.7211171259259719,0.8162226773437633,0.7722704472323338,1.0841706164413285,0.7625530606219442,0.6484259360194026,0.7293143831668033,0.771354375231688,1.7114985121289925,1.1481896522876536,1.3724176570168387,0.6999418662122081,0.6467871150354924,0.721221811397898,0.6665407484975335,0.7154628723731573,0.5763210606720252,0.7900841977252545,0.7873251918004277,0.9792558605059707,0.7258765644163495,0.7985903799673124,0.9368975919631526,0.8087745784585482,0.9720753728888297,0.5971960688163976,0.6117717353095266,0.6170074521200117,0.6569317950310558,0.737765980829542,0.9512510809987247,0.8083884821790973,0.7191994969953538,0.7521593590501666,0.9226815535495192,0.8186264790451709,0.7089329096824805,0.8893268712757594,0.9995240502879187,0.781448413305325,0.8645961040815319,1.1116691709533908,1.1096821915732547,0.8830763521068671,0.9280849768832994,0.8016146788698612,0.7633497263902429,0.6875927409081388,0.6563622770274882,0.6797338768321319,0.5994984866457472,0.605948924036958,0.6059363939364819,0.6250273663724091,0.5523364554281998,0.6351501130055955,0.8076376476208766,0.7016115284660627,0.7262451713222313,0.7318594113698638,1.0186344689847406,0.9098041981484971,0.8928765612437406,1.060687464510667,1.1196446784837057,1.1731472105894658,0.8801411594494163,0.6612854352958594,0.5824224907157154,0.8711491124622808,0.934361304340887,1.020953429263894,0.9871009781524851,0.7660147025893662,0.6244223231091064,0.5311574764404097,0.51680855377171,0.5975412686205609,0.5552748773535734,0.6509043227650827,1.3667416147542513,0.6373836116722617,0.5610130292674077,0.8015213234540012,1.0535302743257653,0.47078762101190635,0.6060682637709481,0.8192467435568945,1.9713838338037386,2.6437498247866573,3.426089692177179],[0.3934547055371104,0.3166281941459802,0.40236333096119087,0.3415636332352122,0.4547026146991073,0.35055220087427846,0.28233614321032324,0.3582758849844965,0.31429907179732425,0.26117732148349093,0.2884707543173374,0.3911530514336707,0.27960527641728655,0.27991026792879414,0.3850794895202465,0.32904677693948264,0.37114740292395304,0.39244545811942994,0.46336785755553783,0.4238648980013662,0.5034761172171831,0.5666212252028054,0.7327792305402389,0.8014268881707225,0.8608913369297934,0.6109803034963073,0.3832075179313724,0.34966758600377973,0.3306844672725807,0.3391471156655215,0.4195879899079053,0.4002707843336632,0.5124737688191305,0.46068178896039796,0.38237040477146095,0.35801700767654815,0.3545190271845538,0.35584614378479024,0.33257333142147794,0.3260035159769527,0.4215704749406936,0.4154465254113836,0.424324332587577,0.7537049207128764,1.029067956244487,1.3539995375006055,1.6478834570053993,0.9381243439950554,0.9769343285023724,1.16024652361135,1.1050315701836724,2.126460668426895,1.96981710583423,0.806086692759098,1.2150107384369866,1.0579665855242821,0.8337567803304043,0.7738826778280947,1.0835761325947164,0.7067008122678881,0.753630190406675,0.6571543790110274,0.5138315163148611,0.7682123748522869,0.5510827110367886,0.48509175141416516,0.7252897057668026,0.5012642496438288,0.7451043789934746,0.6337139102726982,0.7943935090252425,1.0546789036391746,0.7910202170206502,0.8335381381601511,0.6084456729059908,1.3104787728222402,0.48452856962835633,0.46109553424343247,0.36530935897018507,0.4148492637320496,0.3782146876513169,1.9610466843880459,2.0431091788469726,0.4343664040815913,0.5093397408013659,0.4548732047755234,0.34870235625029006,0.41704172875770545,0.34005070475659227,0.45230957260342897,0.45145412261107815,0.7767337409661542,0.5919119256279876,0.5138901359531963,0.47656611935637894,0.581015946195673,0.5544817974517346,0.4734163979297689,0.44486195086538066,0.7018148428298747,0.4670090109237318,0.5243343799101822,0.38751625613056473,0.48220299195542343,0.527021797030706,0.5153082390459163,0.7098062250367696,0.49205053119004555,0.5330694150755197,0.7558637614335078,0.44794694321007217,0.3624514164664324,0.29251203359054895,0.342232897057143,0.29864617462206294,0.3256090925890601,0.3526070836980093,0.4154729272027621,0.5296921185407999,0.4506943535974491,0.4376514765000695,0.3488418902077662,0.4097843805495223,0.30929276029942215,0.2995570055466256,0.37739394748018334,0.3879928547175091,0.40477432123067364,0.40728945339772055,0.4592867395670027,0.4801246613986551,0.5205974014512145,0.4840367927117369,0.525100272946368,0.4939270220709096,0.5947814321690555,0.7800456118866246,0.5409452703929271,0.5232094222864995,0.5004927056282815,0.8045188841309412,0.7555940793243252,0.49343932608563773,0.42782080616947754,0.3935590807025193,0.35068481969162735,0.3241572833716026,0.34056958783735847,0.30691087296635217,0.33216434887851276,0.4228377445613803,0.42811503302647225,0.8129348889969323,1.5492482515230985,1.0555346298658368,0.5397801730235263,0.38493020923003834,0.4271282774574502,0.3444195296557036,0.4014465863561308,0.3636804185538509,0.33882195782896984,0.38903549214558975,0.3656949058585577,0.5319908666595712,0.5864067088214662,0.7653254139933402,1.346090248351101,1.146690265673013,1.0780417473267692,0.6272948722527134,0.541142638571892,0.4782654002646927,0.42272616706173194,0.34379723215070673,0.3735092292348838,0.359691566006864,0.6296375236719506,0.35240932036812656,0.41416935865124627,0.7486555835369505,0.4008075656485393,0.4142586988521843,0.47238609502317025,0.4737421885505162,0.5053558293423965,0.5413779428713518,0.9804629643044717,1.6437297831044848,1.345681764778648,1.3050580188502643,1.1245587453676953,0.9677913714095129,0.8396640250394031,0.6097023815852695,0.6259637946688087,0.6338016628336764,0.4977867832118448,0.5163280747888528,0.5682250461638781,0.47732809639204454,0.5089925563631262,0.481438617276567,0.47524965810290604,0.4838926215689329,0.5043994086232977,0.5081336281239309,0.5062366295928888,0.632172866081357,0.5649770644421922,0.5885841384208951,0.6831343793163113,0.760132805913495,0.69533155175304,0.7989233114053412,0.7727200793899419,1.0629287546110588,0.739483835109832,0.6132753931130724,0.700401235687272,0.7325268571119137,1.752402135146908,1.1108285105041147,1.3681605122298575,0.6800799166398755,0.6254962335050153,0.7031132197257156,0.65452389577833,0.6806291062817326,0.5372223724181461,0.7590509798892812,0.7449143713801966,0.9281156118592977,0.672469946310016,0.7990201574143881,0.8895802519021772,0.781569515665042,0.9562933761095285,0.5570919823188932,0.5716882189696794,0.5848799027547422,0.635241397116525,0.721247979387462,0.9355335676095838,0.7996620191884811,0.6992363338422781,0.7369431832728947,0.9345791266301465,0.8054144604669977,0.6803628507549192,0.8689534918729983,0.9814656507322789,0.7489984256955099,0.8302871682784116,1.0840894944177792,1.0669847978956317,0.8430222593781904,0.88730313618404,0.766967860191234,0.7290002361341689,0.6545025813801336,0.6294195360597645,0.6501705589027523,0.5654627730823338,0.5729802754176262,0.5702676594498371,0.5914639948820428,0.513348263374014,0.5904240607080543,0.7715550070776328,0.6607096819877007,0.6866405977139071,0.6982872641375956,0.9879204051917223,0.872042287132052,0.8530010445219254,1.032824797545435,1.1014049515565785,1.1510493676388995,0.8447552242639758,0.6281648752140213,0.5423877303154073,0.8311466311514905,0.8771981683949063,0.967581213804676,0.9376266008492494,0.7247882281624428,0.559289845603165,0.4768452130389971,0.46353416593751345,0.522739391041602,0.49800615320759223,0.6357055413269816,1.435957131914333,0.5855555175249056,0.5289834080058905,0.8046469217189671,1.0368687125216756,0.4248577481351066,0.5823978810635255,0.8238255159197211,2.206989736827115,2.834926136411482,3.5744192949069076],[0.3968498666794345,0.33306785432135905,0.3818611784846667,0.3124886517123763,0.43618832609679536,0.37867430648400924,0.29395459002538465,0.35901065159868606,0.3502940176183143,0.3313982751621688,0.34827901262077077,0.4199443913439923,0.3542841944362482,0.3751748652823223,0.45913156010839073,0.4058669126104419,0.4703576423763747,0.5078897688894733,0.5879878614573602,0.5376544814473613,0.6561279715640429,0.7085573122721287,0.8569190530581988,0.9900644596639837,0.8816650493238624,0.6971208500320297,0.4922519160079223,0.46175607485232995,0.441152347604681,0.43148630370129926,0.5172385779262849,0.46036518313753166,0.579593716811071,0.5461718116813961,0.45561287119697946,0.45542504022729396,0.41745245878003956,0.45438082257237594,0.4304988741212507,0.43631484251444186,0.5336157906548163,0.5231263243034314,0.5371745596433398,0.8852564662323935,1.1691030295720244,1.4928964531868192,1.7991603754800458,1.0919590300067443,1.1109339120315198,1.276762987553578,1.225413754630166,2.2501942258708967,2.1637499723643923,0.931129647312053,1.1788455829640678,1.0867211943746562,0.9381300147202565,0.8654007398138112,1.0897178602580284,0.7510462733960349,0.839236060886564,0.7220631906881705,0.6534503001525568,0.9232785481197775,0.6826281452924418,0.6030014594011276,0.8353002990725898,0.6236652924248236,0.8386324427780115,0.721902972213974,0.8563192560681273,1.110129808378712,0.8702631557805238,0.9436873147129493,0.7299652734145207,1.3629533654977175,0.6114840322580759,0.5876241814679996,0.4998622817392757,0.534094292239897,0.4712254719533769,2.013323861603156,2.061661114872105,0.4356777801950206,0.529220135284151,0.44360618726173373,0.4238322163686353,0.48424122878326326,0.4596529546901348,0.547355184150439,0.569826122612171,0.8856149204049988,0.7044627853432687,0.6093935489221611,0.5698576589318735,0.6698975683013367,0.6301778439295769,0.5421458929698532,0.49877931603509335,0.7047235765637961,0.49655788324213573,0.5412255125136449,0.42041561710559855,0.4748899427655462,0.500743874407501,0.4872690247267136,0.6368962140343052,0.4967198476529107,0.5367061001920225,0.7595420670747672,0.4533937633005302,0.38480626630872905,0.3239431545467227,0.38277568811776214,0.3728080155640158,0.4195796982425059,0.45869860561382425,0.5357178019210718,0.6567553933407304,0.5735403771938317,0.5606416110011333,0.4644576098084765,0.5127364125093367,0.3892612719081627,0.33892756179876865,0.40688999773943585,0.37940585452672043,0.4077566124685472,0.3974861222163062,0.47796220733409567,0.5037630893586925,0.5105119799352635,0.5291674107253077,0.5277430581138671,0.5494057122309937,0.6788186681638809,0.7988067852174766,0.5945527058239695,0.5634358013522363,0.5863093026690774,0.8792054467490138,0.8642095466928923,0.5914599197623659,0.5306538234787056,0.4886326401719355,0.4328397533063133,0.40544003868887013,0.39548827995356095,0.35319962162418744,0.359501872117105,0.4366622362364729,0.4609712538590119,0.7950428743634704,1.609055367886567,1.1184730484033358,0.5552944140840571,0.40377863258661484,0.4345601815253087,0.3932817530749473,0.4071882670085352,0.40694186442333125,0.37884537501535215,0.4689494360553076,0.44676334965513614,0.5948353304880427,0.7073659726896433,0.8860707876879158,1.4974617942306243,1.2731330345015328,1.1608613439916289,0.699266984035672,0.6210918735771938,0.5395259047941724,0.48647179964727666,0.3974421370549866,0.4097056167790715,0.40089070819561307,0.6367941416347596,0.41488614561796416,0.4236351273294942,0.8403714534613816,0.4195724934939828,0.4617816347179923,0.5318912295938247,0.5585377885465679,0.6228061356293012,0.6588679856651606,1.0701422387205954,1.7191396013945313,1.412970598198268,1.3474218821347232,1.2408661530752927,1.0638881877706052,0.9236021470776995,0.680753609272659,0.681164264599345,0.6818304774999778,0.5213113982265241,0.5260227884423301,0.5864692668329184,0.4585718097857595,0.4548103855464332,0.45423755192809995,0.4528767896340479,0.460575014639728,0.48081418880000354,0.4934418193152237,0.49452423441256227,0.6074063028992127,0.5600986855073556,0.5958097503222085,0.6826471891080769,0.750067235479224,0.700273492681564,0.8242411786498305,0.8039705661237874,1.0808418949246303,0.7231072320161657,0.6111223840788172,0.7094477249938411,0.7398441460575036,1.725754110979647,1.0880869445334533,1.3202166552340544,0.654457731960182,0.6093095629566326,0.6684452162451199,0.6310874500972046,0.679056062444831,0.5087470519651435,0.7199191367129949,0.7350730377212753,0.8960100748346618,0.6508874775787076,0.8181391558807515,0.9093386307091785,0.813586135578213,0.9993477241855214,0.5605460495923256,0.5619211403915644,0.5592191667734006,0.5873635553162475,0.6809029660500123,0.8509447903730881,0.736640107027024,0.6410399171297376,0.6685495942381291,0.885607058865993,0.7467934232528113,0.6353556745692822,0.8178137526261587,0.9407855760930098,0.7078422430596442,0.7799910477429453,1.035047310319676,1.0358348724228008,0.8140185102431864,0.8541832208721885,0.7387361218388705,0.686963342936701,0.6137989030513208,0.6005641767311429,0.6256030884155076,0.5492541595077407,0.5425738930658405,0.5502190684525885,0.5745948756023717,0.4902903920729185,0.5631528067758848,0.7810677298418592,0.6562209627677623,0.6823551626286367,0.7167513235565818,0.988396131541562,0.8730265633758477,0.8405448346577794,1.0409874170990965,1.1174463867918092,1.1003706289469117,0.8054078159449759,0.6138753894279311,0.526229619717507,0.7760395644864391,0.8081460643556199,0.9147475902470616,0.9039469974810568,0.7127975350950098,0.5616189377400518,0.4761087285900155,0.45811389981765843,0.47407871249020817,0.5116072322797309,0.658640208412263,1.4692061022675373,0.6331119612920582,0.5599001802668482,0.860239588490286,1.0864446354570207,0.46599884331903907,0.6238298900458015,0.8670040959156543,2.4217822805983005,3.027754105886825,3.7395957504460613],[0.5103572954861876,0.38946863227274725,0.4340283272769916,0.3611146120324841,0.459489215537248,0.409021232049406,0.3405516603367901,0.40166556895037747,0.3800172960481744,0.3670908706761012,0.3886766011654912,0.4574831842563387,0.3999318526153328,0.40135266466691727,0.4854947273954161,0.4418828640899135,0.4855041918745469,0.5246163485547529,0.5875686581008194,0.5443129045001006,0.6604887653091748,0.6906903601740856,0.8247239999126242,0.9803672854503956,0.8312578300551633,0.6840485413080183,0.4993491944376327,0.48107718932477544,0.46614857392524384,0.46897281435248783,0.5496841004941815,0.50414963822738,0.6271770785006625,0.5971744801300134,0.5060470877062254,0.49427326509775255,0.46420063263828415,0.48534438010875,0.4553941937803564,0.45460834856064675,0.5338512509870749,0.5299328144997129,0.5289951295973326,0.8552680728801323,1.1078885177351157,1.437182893917315,1.693721588139026,1.0278177945055165,1.0512833885905601,1.172857724151828,1.1282622093127204,2.3119821037306836,2.1710446755824035,0.9716441552993729,1.1059852736836904,1.12763744330729,1.0118069172204425,0.9156140186587375,1.1265241319609218,0.7282621284689106,0.824346589480674,0.7306545153874496,0.6766068625202979,0.9326417969788336,0.6856056274310822,0.6151111970766169,0.8271602987132267,0.6395263254502209,0.850942669721695,0.7157746217944162,0.8648807220484465,1.128071257939915,0.8749757730899609,0.9335282097007349,0.7307320862523384,1.394200254319107,0.6298694464473042,0.6119650285256083,0.5344828919154948,0.5645071780078353,0.5317067907610556,1.9597590533100202,2.0714995030141696,0.47918241951371704,0.5594625349092359,0.4887828639775191,0.4593216702474603,0.5344688201008181,0.4982584566334309,0.5877411247714474,0.5898834143852235,0.9021891788526931,0.7271580440836389,0.6435712463144382,0.5964003876242717,0.693920183102843,0.6474739987156766,0.584092123563951,0.5482570939859022,0.7502952801940321,0.5455798346357799,0.5739061007678325,0.4659133231492587,0.49555801928602317,0.5124526191328848,0.4824134151896438,0.6444535646935886,0.491778386425696,0.5236573136769901,0.7534485959673296,0.4461761733910957,0.40189623758658555,0.36506811964061786,0.43698654888831046,0.420402838704683,0.46651887498929556,0.4870393988425584,0.5434645838378048,0.648999900281183,0.5750708789813592,0.5512462267065003,0.4673450048302486,0.5303266405314063,0.4265394829559309,0.39689429712284885,0.4396782607145402,0.40488861124708136,0.43942304825500345,0.41007997464515533,0.48201639026073423,0.501658676979556,0.5057758149801475,0.5146618906597288,0.5348381375133182,0.5446292835523854,0.6604541944050111,0.791396135004983,0.5826002599223052,0.593607557966914,0.6083549070398881,0.8940765304895535,0.8352970235868585,0.6230481238309806,0.5518829681076611,0.505408062693286,0.44990044621731445,0.43199716620958717,0.4277181156700896,0.4012658371927176,0.40082312021637245,0.4494006602329538,0.47286858772360135,0.8238437831625934,1.691981700166886,1.170407763160959,0.5946524178761804,0.44986322181329513,0.46209620554984027,0.4327323767440506,0.4286229503854927,0.43804199309347586,0.40748098681419964,0.49037424069559127,0.46501841659127596,0.598168781095584,0.709215848005867,0.8303170458949442,1.4065602391211474,1.1943826877536357,1.1227132331625287,0.6873346571079121,0.6169267071048408,0.5372037135945437,0.5040483926075352,0.4364831712758386,0.44567163293359324,0.4477999996124373,0.6704259460191926,0.46166094975267885,0.46306017730152516,0.818026211790211,0.4360305025240579,0.4750528503747303,0.530509098622087,0.5528294768177463,0.5940122877063608,0.6268673872385013,1.0034587772716765,1.6406780315455298,1.2932547482569923,1.2765970317675472,1.2513874345266718,0.9939897122494964,0.881277090581913,0.6506013916951137,0.6361919751382068,0.6616150265671301,0.5205629696985403,0.5105787801053416,0.5521894842913306,0.44052382240486804,0.4410176681462536,0.4314266181708156,0.44882323965437937,0.4592320502478503,0.4789545080690942,0.5027655190730923,0.48856457374460965,0.5728684503429072,0.5450183169352479,0.596918123552042,0.6475724361374174,0.6911566718123081,0.6977023423204227,0.8077355841885273,0.8581660748235898,1.0350577865023312,0.7288758937503269,0.6058481671687425,0.6935842775617418,0.706219432881279,1.8593447266634866,1.0644673055774458,1.329383235137479,0.6529168614277736,0.6542202870942957,0.7230039094740002,0.7012288368179345,0.6625475630316427,0.5097163068475351,0.727315742370812,0.6906169885112089,0.8445826189932667,0.6116890247495516,0.8374924099524905,0.8319434750159207,0.7944298498049897,0.9711784933673527,0.5330997360951008,0.5493335075224789,0.5878532683445096,0.6340850597728851,0.7440734094416444,0.8711616015967767,0.7733318538519496,0.6861696215107302,0.687532028074148,0.9234259026184716,0.7656712641145748,0.6370291128259978,0.8050634843171662,0.9185811071672977,0.6841618444243049,0.7504725459431888,0.9992315253191449,0.9754571187438864,0.7608001148577583,0.7986352051066656,0.6941028899099397,0.6480899472216164,0.5883560099245372,0.5778490800003271,0.5943116601799124,0.5279706976251126,0.5401996081313849,0.5312508765025918,0.56081423256122,0.49711785130127034,0.5508654779050163,0.746420572690505,0.650730997064905,0.6677299538705763,0.7003246816279286,0.9568580478228024,0.8597368670921345,0.8350755097765598,1.0066088314516521,1.1384430470542548,1.077851246774955,0.8005731701761107,0.6267931745266031,0.549153607449738,0.8125379963517493,0.7833835549642394,0.8613552858332993,0.8549254106491474,0.6805288305411599,0.5364566474255581,0.4590404854380455,0.46283197885237043,0.4487905838656792,0.4861660404572047,0.6669116613463165,1.4943737608994458,0.5829975620896929,0.5642378729656806,0.8734716736201052,1.0292862132916738,0.49501758077857,0.676998439941254,1.010952919255921,2.732174519891338,3.390490092169208,4.161694674920013],[0.44726053684381445,0.37746515043829687,0.44055744756649357,0.44183713415489856,0.5725353094488914,0.4805303955027785,0.4994924207119883,0.5244716000166516,0.5551245878858212,0.6333459639864893,0.6789372780247381,0.6863805111466886,0.7026531730860085,0.7466119705996076,0.8146304131390456,0.7784376182786625,0.8116650036656569,0.9048802426762136,0.9687489224633312,0.9117562511154564,1.0647579541731398,1.075976535015762,1.1899263641911089,1.3874948911994978,1.036519894975255,0.9726493892463753,0.8827161952505982,0.866593437184444,0.8302780628167761,0.7884944024155647,0.8995189129884567,0.795623419898001,0.9297049428697675,0.9368575959265275,0.8441752985716132,0.8331063258429279,0.7694868865247825,0.8408573105563177,0.8227450233809582,0.8372814137360916,0.9051818803289823,0.9289644698708566,0.9400049778161659,1.2516027690394518,1.4932323147017574,1.793236741832522,2.0722041661765753,1.4332979420774121,1.4451920363391344,1.5480791041782869,1.5135277263876932,2.528791753879786,2.5213352505707163,1.320538286371719,1.323420255397974,1.4159917760802545,1.3142312369979523,1.2784427640396845,1.4359169101905558,1.0651058727485447,1.1062858593973073,1.0317959355132957,1.0426088312989992,1.3085508446326273,1.0764045702343785,0.9505780231310383,1.1640485697527714,1.0112061641699133,1.1153175841726821,1.065779005220417,1.121364693343052,1.375039583705945,1.1878804202429958,1.223893627736034,1.0903482422342214,1.6220769382332414,0.9903803925253803,0.9955107346741733,0.9032989411644696,0.9406426380570305,0.872267854617191,2.17130738768783,2.2196165858279233,0.6835400727680384,0.7762617376712603,0.7057554811319315,0.8010704278460675,0.8454845029737942,0.8666697865339985,0.9218625094130074,0.9483153928001085,1.2351283970916398,1.0658106236140166,0.9812006249764739,0.9264929670755194,1.0131043293116857,0.9408299863974344,0.8705440257671414,0.8062075869136921,0.892701941581949,0.7776625294959909,0.7152878413331151,0.6895311856753744,0.647627413301594,0.6666890747292564,0.6129198431566947,0.7487272331115965,0.6151143937687017,0.6449125615400498,0.8706686075621888,0.5786261813846612,0.598813699507061,0.5720031380763807,0.6664217201325282,0.7251470180730992,0.789669588471289,0.8480906259809313,0.9582653152268336,1.0241799122082504,0.9612136416700128,0.9516927212210458,0.8397113574932589,0.9094680249371823,0.7418236427667085,0.6249982840437126,0.6623389389398805,0.5370601816684594,0.6145439188761281,0.565565265630993,0.6561901211093027,0.6668912848981307,0.6411680997991951,0.7230841892187269,0.7006742532201525,0.7713522049186055,0.890558429668458,0.9143666451425024,0.8261554612267956,0.8527755388109727,0.9151333997494177,1.2231386175373256,1.2272870639838882,0.9732817416483788,0.9174211389535272,0.8566672462334163,0.789357856567161,0.7618497849315892,0.7130288561835632,0.6515392129554798,0.6220903500092781,0.59416712670284,0.6010568358583502,0.9080032563005674,1.7679171507470757,1.2575061742727656,0.7381222189505013,0.6434720337763474,0.6211284446120634,0.6660626488416042,0.6078084514442642,0.6920245526261257,0.7082525689058488,0.8143400459702329,0.7851883265048928,0.8808933782668107,1.0443663995145134,1.1452819583437561,1.7226388293290513,1.4952284258882163,1.3808662866829435,0.9509619331652436,0.9027088600481508,0.806390896271448,0.7904975965006398,0.7169687755995257,0.6707648437262358,0.6893409784097883,0.8401953452834088,0.7269943203850513,0.6747390633714773,1.0943936609799734,0.655941190020255,0.7133804278694833,0.7659688547224811,0.8048248715259617,0.9226833738061452,0.9862190761955462,1.3056224783779788,1.9076344853539486,1.5431596740404248,1.4717759468152256,1.5042935692246986,1.2519589337745352,1.1283902861375865,0.8921119474161023,0.8403449424938977,0.836528527838654,0.6546675625831475,0.6207445715705773,0.6313254788797321,0.5054633159949831,0.49753108958313713,0.5068012183018246,0.5124456837869658,0.4795979457370413,0.49909597578061493,0.5521268836594649,0.5224871176780418,0.5927537297043697,0.5531722709669529,0.6119007036850717,0.668821811748272,0.7103224949626521,0.7005182628557839,0.8254765403272396,0.8206780002350484,1.0658068068322128,0.7761801855090418,0.6407623208750418,0.701198795553065,0.7473491506596442,1.751240149757163,1.0658172092473734,1.3459968950757804,0.6830894407480745,0.646721881989753,0.7037973984698244,0.670355007591324,0.716160597015138,0.5701032030793266,0.7650834557160306,0.779954698016051,0.9340951272782921,0.7039839555252768,0.8680681320517806,0.9856967561818208,0.8951595307786817,1.0801128200029209,0.6350893137377419,0.6056984163643011,0.6291170352660405,0.6468716753783683,0.7577872825490638,0.8937586369053624,0.7926839072843056,0.7121434178006304,0.70773746085005,0.9496937393012379,0.7984659578597287,0.6574934602542171,0.8231681218445255,0.9399688295915574,0.6992234960875139,0.7757221998727654,1.032345061396478,1.006493195611504,0.784732101630271,0.8314297994011329,0.7209965931175909,0.6760323111843417,0.6123989090918696,0.5965343756675828,0.619064188818093,0.5511792500512858,0.564143157198457,0.5638171361589985,0.5998250021400416,0.5464598202368012,0.5979474297780334,0.8148637888263303,0.7170470461707775,0.7461400731869287,0.7931845954797934,1.0607964311816618,0.9505824320467756,0.9213675119613285,1.1630078601898228,1.2333674866369688,1.1717910613446414,0.9012685388169129,0.6777474125737027,0.5892009040844787,0.8811312710633588,0.8979506931578177,1.0125199823822315,0.9876815167671199,0.7890835104917151,0.6259307373202424,0.5659316010343526,0.572524651629662,0.5066788851385022,0.5525617000843693,0.6977659300980346,1.5259954198261665,0.6592413776823778,0.5659264811830024,0.8617138074299788,1.0611537207151422,0.4861752318874715,0.608706583600163,0.9117003576790154,2.5191229982187293,3.194987710961068,3.974875514702537],[0.4999852294376427,0.41502244785018166,0.46582850308351337,0.3857874335159888,0.4628491939742197,0.38272678040890756,0.32359099216416753,0.42567943353072024,0.39030053678476884,0.3506931798042275,0.3931826877205703,0.4842441886010752,0.38780561065242436,0.3918085380495514,0.4890354524097365,0.4465195236988105,0.46966527774041344,0.5272105361374447,0.5897111244657679,0.5339356199892002,0.6556722340720562,0.678128586460858,0.8492928337949378,0.9791406705882475,0.8407766331936114,0.6690631921242309,0.46965823786701966,0.44918836426675557,0.43888442462995003,0.44193022191180614,0.5465138946593285,0.502314002134894,0.622647868358709,0.5996950192154231,0.5020142751980781,0.48201791669511207,0.4515385954126146,0.44825853275635313,0.4072523070522496,0.4016590891828884,0.4886822887754328,0.500397531820946,0.506288857139119,0.8390290460623686,1.1141015859981434,1.4359971515072514,1.7233570823718192,1.0289827870711115,1.0573326123622522,1.2120433803600235,1.1565617746706487,2.2539634107331294,2.1141204248474734,0.9123895037844428,1.1253161580593436,1.0824349502923851,0.9405384584860681,0.8588390094169113,1.1010645003540416,0.7101689362607265,0.832430981755627,0.7341677371228854,0.678398595006855,0.9508835065951976,0.6899317837988769,0.6155412642568586,0.8611414190298994,0.6493299873108065,0.8506687562982979,0.7466481970597515,0.8768121419705902,1.160090259692704,0.9090805602853868,0.9530209504009532,0.7495085291639231,1.425872893372183,0.6337676901968274,0.6175793868910244,0.5279387961939946,0.5499810009076356,0.4923936627892948,1.9475135308226306,2.0586656434486246,0.496138216091025,0.5334713813018797,0.48208854955880165,0.43179686074921914,0.5059382332751159,0.4812031422060178,0.5899756886747387,0.6015360371488969,0.9197284672918112,0.7393725687046843,0.6546391259762522,0.5999420793121707,0.698647351101205,0.6417397073115476,0.5740490460746618,0.5427399712501045,0.7965485527601384,0.5497234106247444,0.5954581818489765,0.46839708563664123,0.5535153573373464,0.5555290031538455,0.5397634380406194,0.7131856097367235,0.5206037172911636,0.5574131227371545,0.7456955704190226,0.4720137103052169,0.3764307423946421,0.33747559435178814,0.3787589334219338,0.37944552625577677,0.41045650084133706,0.4457553804486241,0.5142799310269623,0.6598510183132744,0.5733358139133707,0.5557812371340489,0.4535581152174184,0.5018195651233093,0.3827930598008828,0.3441306350097377,0.38596038818403744,0.3987247442947441,0.41429400099386154,0.4058290523051798,0.46011987745801186,0.47554176218738153,0.5222527309762611,0.4762794961120469,0.524370092116006,0.4904100835680138,0.6075950335327828,0.7763944995189138,0.5455841247113864,0.5235345576429888,0.5365205543810019,0.8478898637183977,0.8204840917620825,0.5655806202790485,0.4913929282227939,0.4539899510414901,0.4146486832680487,0.38566752716233726,0.39245297303712007,0.3704629613178296,0.405408836621433,0.4860269689347861,0.5091452623461449,0.8987850520809871,1.6755668686038514,1.1550030355667735,0.6327741282486908,0.47420385931238473,0.5116912179708527,0.4418829694579387,0.4644658992164524,0.39272877618480967,0.3804440471650928,0.43170004976622806,0.4072245209971409,0.5427254947833158,0.659529360036668,0.7986439155447632,1.408810368070294,1.1825397110218665,1.096439244230328,0.639490634675936,0.5750547525686133,0.49835227716349917,0.45348256134932896,0.3900120835017204,0.4293563629326094,0.44278224911202857,0.6997958927251537,0.4230309916222458,0.45196959505589585,0.7816425320050752,0.4114083442903045,0.4228268269935913,0.48506015813821296,0.4964878913013107,0.5489863636627288,0.5818945236541694,0.9893385231782962,1.6576814730446117,1.334906232936605,1.307561076609025,1.1624584746101612,0.9785367339488578,0.8423130849462103,0.5999092985547945,0.6107423519237785,0.6295773248104812,0.5047511700310533,0.5355352103398574,0.5786282738861116,0.5084748667869848,0.5587567896081403,0.5138202597750159,0.5140519516006958,0.5378310391301698,0.5559736925158076,0.5557812334699358,0.558625368297355,0.6799581152867005,0.6063847818064655,0.6350317282087473,0.7228933369074854,0.7871457760176004,0.7260820263375501,0.8143221095215485,0.7896442081970119,1.0860792742898788,0.7586190656913209,0.6569850093392472,0.7401264588392079,0.7774076538690877,1.7591593889925419,1.1425595048228894,1.4246951070536344,0.7360559870561507,0.682449409160345,0.7388410389125872,0.6902002950461981,0.7074045793922988,0.5602915314147913,0.7670593667391858,0.7595017732857212,0.9318777232294412,0.6774768339404736,0.8172990020452798,0.9011873389129563,0.7791912300017447,0.9676567874652623,0.5724016117654909,0.5896891012437763,0.6204041816131365,0.6846707618131153,0.7860154925834735,0.9917726588548178,0.8659103891208833,0.7666424255057622,0.8114307613825709,1.0126645177017286,0.8697185225685963,0.7402612276145949,0.928767623755324,1.0289582162149422,0.7960645225787822,0.8973630686382488,1.1481310399508278,1.102878386291245,0.8890582845040861,0.9442654426043174,0.8258931167303972,0.7990379766180552,0.7221880610720527,0.6952701972046148,0.7068288643398067,0.6171966347910104,0.6236197053811272,0.6072284522813161,0.6241452632936807,0.5437377244932683,0.6182748813001624,0.7855188640717823,0.6800598687654716,0.7014288464454748,0.7227156667347926,1.035252103261278,0.899492829474063,0.8680983129538871,1.0519505358563392,1.1113750105155724,1.138392625855664,0.8525688733481528,0.6478872848871627,0.5784959862618729,0.8272791758333382,0.8850172775811376,0.9791674382152136,0.9400047173280127,0.748668430855577,0.585830555545886,0.48947387008870896,0.4665967430820652,0.557724582657692,0.5390336108526804,0.6716330608836476,1.4506437781046044,0.6053182793382397,0.5707883181391891,0.8214658781965904,1.0293199865476577,0.48143548278135806,0.6280704627987417,0.8953091835050448,2.2047456121720916,2.8812244677968524,3.670756374832329],[0.4433055094116138,0.402331308650698,0.44219348758029975,0.38581085354455064,0.49598234272975783,0.3723956896624588,0.3154846045064199,0.38990638373962294,0.39681259550906667,0.40940957657232724,0.4324367742275186,0.4879253981949726,0.4428889027707737,0.4940769359822887,0.5734934460888338,0.5248454366352953,0.5735030626877198,0.6480439876842989,0.709483735019618,0.650331884161118,0.7874086254338369,0.8330462535774682,0.9578797319623678,1.137971660445472,0.9250630286359873,0.7710132369807094,0.6174867725132727,0.5890902409774793,0.556360407428541,0.5152754415503171,0.6464596715509013,0.5358231371147807,0.6646000074751925,0.66887216544995,0.5587852720495569,0.5630873240074249,0.4955786459897812,0.5617283178829746,0.5388932300558877,0.5433557421992712,0.6440038124171135,0.6477800654392927,0.663037957780109,1.0067487841574532,1.302563170350297,1.6019126589483368,1.9289136782138492,1.2179839339140628,1.2232401973056188,1.389708181268361,1.3439767637974431,2.277523818993531,2.25311362503833,1.0262337096353762,1.2552645921409669,1.182974637956524,1.025298078426752,0.9772485967164617,1.206855094196726,0.8119186214857035,0.859599166526827,0.7841142840757783,0.7722190712927789,1.0499544929036353,0.7921705989189217,0.6887353036553054,0.9402318824391361,0.7519400676613492,0.9293281622101972,0.8527460494056999,0.9444435613838238,1.1804945900072006,0.9939319651336085,1.0667555229046173,0.8456775850176528,1.4094267426474398,0.731948260028371,0.714406397594574,0.6141336155209132,0.6400401095162803,0.56494708261158,2.0838895364936487,2.122411847919941,0.5148926428286019,0.5924084545144807,0.49859238693786523,0.5178321948243293,0.5522030331068906,0.5731441394295832,0.6687390082415071,0.6985948013836639,1.0158744689734225,0.8383681060599156,0.7328373072754559,0.6833320780793394,0.7881742716613485,0.7329915962888152,0.6232726752815182,0.5660982532963471,0.7613461006371777,0.555581572930328,0.5635354179340044,0.44370529670450337,0.4914748905126395,0.5334877123604043,0.5240685270667063,0.6888207248567242,0.5303711634491379,0.5740593467604598,0.8092873439177021,0.4888257143054756,0.41608184990845853,0.3645081023348341,0.44281664812989513,0.4697293043248253,0.5344055101171208,0.5826407925043149,0.6772380988899469,0.7666299697158273,0.6957699168693475,0.6907305452049948,0.5922994020209577,0.659583183898909,0.5035747378188978,0.41582410957430677,0.4644072564195778,0.43640062700214477,0.45430174912644683,0.43303672160399687,0.5039898162758342,0.5278930776604835,0.5414929782167923,0.5528541550314614,0.5547018116490072,0.5679314739210264,0.7103309711233278,0.7984127054274299,0.652962053867579,0.622177572339416,0.6734718600286267,0.9936880262642636,0.9755586535311451,0.7151302586862062,0.6443124877568694,0.5998773335834534,0.5538567458453401,0.5152514269120421,0.4752608394889029,0.4106915167351959,0.41158951501161495,0.4538314459335575,0.47036243837472574,0.8346956634204303,1.609614189380067,1.109080919800007,0.5863766519136165,0.4503929972834629,0.45677837359410256,0.42852430104505607,0.43962773881246353,0.465432597831166,0.47586250386393414,0.5605153668284895,0.5429172520411448,0.6621742645357717,0.784973219923187,0.9302272186052344,1.5375567933663075,1.303571557924532,1.176467220794189,0.7326950675768034,0.6821537377756051,0.6010458608415884,0.5537415438381489,0.46811677453601136,0.4410094355203302,0.45916732577704183,0.6758393974170671,0.4812553238407155,0.48320337799219465,0.8894541150504992,0.4660405287619096,0.49449141604348185,0.5571135357088525,0.5832866777198198,0.685005536312527,0.752031777869908,1.1472948261871747,1.7896735688856602,1.4581565712188356,1.4068875506278307,1.2528687580039153,1.0782500695342305,0.9371046029816856,0.7030778326533691,0.7130249254662997,0.6967016822053803,0.5344145758138494,0.540763109593824,0.5862574530643327,0.5007625095160486,0.5214431623914985,0.49670549858087865,0.514846183806059,0.5349886936345811,0.5426497917114755,0.5572051543115336,0.5770020863607059,0.7046578177636633,0.6376056684108182,0.674678738602759,0.7885805161600642,0.8566010615425107,0.7942296180224121,0.9019628142956179,0.8189241294272648,1.1621530392654629,0.8103789267400129,0.6824999652537664,0.7875633426662076,0.8042355079341935,1.6701997178426482,1.1171120723871573,1.392135241128952,0.7615218313906387,0.6841044880272298,0.7399633523695412,0.6839704645658535,0.7425848689370129,0.5710376710293106,0.7653165732638215,0.7686136367734476,0.9313242285989113,0.6796705193950041,0.8261612216309637,0.9628708251431387,0.8286185335905845,0.997958474394151,0.5891582172320372,0.5749215615471472,0.572694492532015,0.6319703663479921,0.7233484702374098,0.9357108539115605,0.7929663449660143,0.6924712693233067,0.7650028019362877,0.9446728946506207,0.8107036626261105,0.7146315283920073,0.912607493748004,1.0183037316280568,0.802110250330546,0.9035889972748468,1.1616811302512395,1.1456658272306246,0.9453134422616157,0.9997819138692796,0.8767222473230636,0.8260954653449926,0.7233204851928001,0.7076251667009127,0.7433611503780524,0.6428273627218566,0.6264621143374236,0.6503193019088266,0.6723596163739618,0.5728789336356551,0.6634468661548983,0.8626523622029114,0.7318384731232717,0.7515852682742827,0.7938429233223658,1.0714798680148294,0.9515967122728999,0.903404443473222,1.111070691576242,1.12850134751504,1.1748166409965886,0.8747454904522023,0.6747975393560156,0.6005669279206951,0.8211187509388589,0.8861845969875409,0.9868159668047388,0.9536574709335472,0.7621142036690243,0.5868300500464417,0.5057425641343812,0.4879880555939666,0.5334388259232861,0.511548793782158,0.645874685500634,1.4423139025343148,0.6176295020993074,0.5623760309147872,0.8181347885401347,1.0635863160622763,0.4739390792391753,0.6329805825359809,0.8771206778793516,2.133316496044914,2.814984663757562,3.608237581787706],[0.6016830354639393,0.6285217144741697,0.726423556562588,0.6345897722857466,0.7087664918755042,0.6001936436703733,0.5413809219342139,0.5758356825488827,0.4939160505400523,0.43092863687626554,0.4104190928259583,0.49730584555533297,0.4318401957784696,0.3948784207692166,0.44366561591536297,0.42124513840204764,0.4645259719860311,0.43636464597408964,0.5281659097315489,0.5210178330654245,0.5568736298227778,0.6160695545738841,0.8251799317599342,0.8731106416760855,1.0562613147273414,0.7647142675783086,0.5449940314567397,0.4769350366558317,0.452975035580876,0.4683499200856658,0.46893777062123765,0.48860443826516026,0.551025236209478,0.4906400767554485,0.4790886125901731,0.462875164450528,0.515621364237494,0.4837234439486326,0.5013365478668629,0.505790756158228,0.5968049947399963,0.5387666545416218,0.5653319033626443,0.7752829771405636,1.0803847691228559,1.3647828046711692,1.7154659982188467,0.9548923755056455,0.9958740145951783,1.2670436618607592,1.1861187233735666,1.876727430224174,1.8884924449013702,0.8235324595483158,1.5167900049144358,1.168123189366348,0.9214110034119618,0.8631820294542095,1.1647397365063341,0.884799128385919,0.8325701100395221,0.7476500618743771,0.5597702500873477,0.7305713016527448,0.6000869476988283,0.5788557611542678,0.7549099312271147,0.52337736107922,0.7725260303193595,0.6337403632374907,0.7851324864341227,1.0438202856771408,0.789168396739004,0.8362540433601736,0.6137836335243465,1.3162835983616952,0.5208050252769802,0.4831125888520177,0.43913884335970915,0.5042605235850846,0.5055513780567179,1.9596182689181318,2.0055850555840604,0.6249945927908327,0.7398682926434693,0.6817744507303334,0.524159657444713,0.5512155020428875,0.4497799990968408,0.4983408625716319,0.47226399456391865,0.7830095096434827,0.5810133213263382,0.5151293175017021,0.4913846748561126,0.5756061988899974,0.5737715200807006,0.5053534805457761,0.5145537407150894,0.7891468460222213,0.5673525192504827,0.684106990123018,0.5724891416150774,0.6847030821287575,0.7453420583312161,0.7371282998071785,0.9278366374248118,0.7575430650667517,0.7904364508643889,0.9499275735659495,0.6859409486417102,0.6245776917008156,0.5505679009160431,0.5631913393354246,0.47329693040171855,0.46697755506317074,0.48113457357380934,0.5676336138242118,0.5893426004246967,0.4779787023821567,0.4988414052556063,0.45229900231656195,0.5098835361272714,0.4549355546700879,0.5029108047688504,0.5804087510646802,0.6363209157334972,0.6793908071076253,0.6785838536955597,0.6920048289366544,0.7257041400105345,0.7906156461837053,0.7189551636919292,0.7276241759874374,0.6934621727654722,0.7251468276287041,0.9482942075142589,0.7677577749570986,0.7445768037714994,0.6901287654390347,1.0049186528957377,0.920327580098691,0.6370961241152833,0.5953830960756474,0.5672631642960206,0.4983481150821678,0.4946451895918434,0.5005968179813263,0.5237217313248149,0.5414709756928568,0.6492358931220343,0.6173466634784739,0.9574103402189791,1.5556049516197767,1.0980376868814123,0.6737548484279032,0.5269455314439528,0.6178535239107986,0.5271447273894172,0.6025707747483705,0.5994963705965106,0.552796326005649,0.5731830034787397,0.5740221201504873,0.7785127640666514,0.6756499712948361,0.9585303884647038,1.4969761808156947,1.296365944852332,1.217291484782036,0.801546450470448,0.708364882189787,0.7169044779529141,0.6002691090703115,0.5591530126898528,0.601233360482254,0.5570714403964895,0.7704735305596192,0.573126277155852,0.6425388072990057,0.7780127938597681,0.6344387857753997,0.6505820897952604,0.6905622233343698,0.6591337028616072,0.6726067496945133,0.7439510724804388,1.176328231269117,1.7791613956761025,1.5729976254082356,1.477920519986302,1.095296064329027,1.0854853398366702,0.9548525671081234,0.7860316011334257,0.8293756648211317,0.8071553601295571,0.7431352151729408,0.7533234199094532,0.8217486801995983,0.7634373366871733,0.7874084728711612,0.7818582681396561,0.7546862233613165,0.7563302817595301,0.7610267072917907,0.7620698605817227,0.7721401524508484,0.8706119018828481,0.8093483634959215,0.8138051742978644,0.8981459300335217,0.983893620710699,0.911699518982345,0.9642215087917977,0.9059761109393977,1.2180632145956203,0.945875519209676,0.8564469043569455,0.8986005863362103,0.9010084662302591,1.6586748301599739,1.1593418652907386,1.4961782850338698,0.9605215946880515,0.8678952249898876,0.9025324775101345,0.8371932209086244,0.9239604826093802,0.7937252764401824,0.9194164512233419,0.9588090341843712,1.118740052158995,0.8824227888395096,0.9399409202414939,1.1122428007207923,0.9739800286753381,1.1399678177315802,0.8021171914244887,0.7930435092696112,0.7625749275776178,0.8195513022326909,0.8922169767056493,1.0990116901919547,0.98245341977465,0.8752121584412108,0.9230668112351988,1.0390498066047449,0.9660178254900584,0.8710914541773875,1.038908105935756,1.1252673353771585,0.942369564412132,1.0206916583309849,1.2474589348671496,1.2337458910025998,1.0328364802004077,1.0719722349875926,0.9775366039150661,0.9525161320590884,0.89026941468297,0.8688869980233668,0.878930121679141,0.8231246766734033,0.8297960388972765,0.8371895554043367,0.8511990548317663,0.7881006593537027,0.8620470230311396,1.0477211451690616,0.9358331622763089,0.9549502463040771,0.9606102510276469,1.2068673221207642,1.0986090809867985,1.0943283165170052,1.244959757842025,1.2735816525222887,1.3216679343617979,1.067620764655818,0.8592339624994338,0.7882624976835825,1.0017286991641547,1.0786112453295846,1.1612626590555455,1.120371331951116,0.925232169646718,0.8114794976460826,0.7451925499375822,0.7280036448296348,0.836188765106024,0.7390031840668686,0.7549468976741175,1.4816434457369507,0.7581561176372263,0.7107021088113002,0.8588796582870208,1.098012742646516,0.6410441140821918,0.7648576292950735,1.0521532390783508,1.8440334686464428,2.6930719591832797,3.6168844106042304],[0.3952316741109243,0.3768605322818177,0.44153876521373664,0.35912471469522195,0.49947181625771353,0.42387183736512024,0.3301935826866601,0.35973222846110725,0.36268579212508345,0.3244771733775057,0.33177599313839595,0.41009400036723503,0.3312042415304377,0.34699510294258257,0.41796122393584817,0.3546886246384948,0.4332182421820655,0.43932196634018916,0.5298611663631206,0.4815139515100644,0.5713758159132264,0.6429730992657897,0.8365223996585566,0.8910729874268064,1.014941553871105,0.7270886140217822,0.4759887073200007,0.4186301774488697,0.39247583857652885,0.3758327669396534,0.44993160733406795,0.3933768137603896,0.49601154153323435,0.4466563330427742,0.3953003541200019,0.3840306614043197,0.38962471355296074,0.4162769784919153,0.40517029480023614,0.41159523110320356,0.5232199264976016,0.4999478645311335,0.5219204005538058,0.8321077634483871,1.1202161264184365,1.4105910833949091,1.7719423561544194,1.03162098519569,1.0467357348897157,1.2689363463449672,1.2383590046893407,2.021204004159098,2.005783598978641,0.8277470862914018,1.348653371573447,1.0548568641368348,0.8397504622643723,0.8077206384265396,1.0687424208560825,0.8112523571748471,0.8337360080587738,0.7027634126566903,0.542665612600645,0.7735290209744473,0.6082256415318871,0.5362718777835483,0.7699684575365041,0.5281295391989287,0.7703892065194474,0.6446833989841358,0.8076413516321035,1.0465611325151942,0.784427204785966,0.855902731459703,0.6362447825887801,1.2599259160647696,0.5086509447167407,0.4856527778090314,0.3985160335114349,0.4577836615679243,0.40521981838129584,2.069508576290226,2.056434437922404,0.4903582593427052,0.5611964966035365,0.46163745574659015,0.41419420976271865,0.44401527611095415,0.3861393249086607,0.42769551354417024,0.46201773255925777,0.7998256882514652,0.6104722745566985,0.5146805700288765,0.48626025836475045,0.5890283945901436,0.5682346829785552,0.4790937546143757,0.4404268061296421,0.6683591527395999,0.44962901124998905,0.5006404901962531,0.39242982166976137,0.46328669292796665,0.5481943211699837,0.5390762489630089,0.7062139277124536,0.5620202977283824,0.5927599839948964,0.8125122098680216,0.5195312703459235,0.4224866706321011,0.33216343549231603,0.359086771759916,0.35327194772324805,0.37405234122837644,0.4197441588089503,0.4771040172204513,0.611250190345519,0.48783472963263425,0.5070441989641926,0.43072811195553123,0.4544742908637013,0.35159288854298865,0.3316674471530263,0.4123987227031507,0.46948574733559284,0.4567335550894007,0.48365335190056197,0.5405207863839856,0.5826523498142457,0.5968045257160819,0.5957298615178256,0.5721150691070815,0.5797238999476421,0.7035549075114463,0.8276232931503283,0.6443018809525043,0.5767451447049541,0.5586032652832805,0.8376466816142468,0.8253130267229455,0.5441243784060129,0.502293056617863,0.4779596430342113,0.4173567737734682,0.39341168195325,0.3842783885661888,0.3296271471689065,0.3484190163842237,0.4332119537083721,0.4463730749338478,0.7722856775829156,1.498430843293122,1.0578518866806987,0.5322210019453117,0.3698533615454372,0.4061191112116032,0.34375725173302096,0.3889951766223767,0.40909237346074373,0.39289111704963586,0.4642269758971908,0.45315994628926903,0.6246713145603617,0.6571500672334665,0.9095100405278093,1.5097736335240834,1.2992110910129062,1.1727897527357665,0.7207250217631136,0.6133900126362222,0.5567207596584102,0.4972419170210472,0.40520038823579724,0.4277421234626089,0.3881875856786641,0.6135405492757326,0.40501275028394534,0.44358203942973917,0.841830843319023,0.4728362519188795,0.4994701089097764,0.5796584611574961,0.5813968677670945,0.6202524700363036,0.6647734443926443,1.1128703475679178,1.700419433368992,1.518789725892511,1.3987468520663975,1.1414985849414552,1.123694920625436,0.9725463495866924,0.7416454343926864,0.7726640811809092,0.7394337744420288,0.5975794244259317,0.596243824648581,0.6554927715992722,0.5228603117307101,0.5115494402272982,0.5231933013517405,0.5183270512697893,0.5207040296613775,0.5392625732112828,0.5520847989650965,0.5723685119138326,0.6826126180392162,0.6403267237917847,0.6707532528202137,0.7902185282171001,0.868832786202244,0.8162417979228714,0.9453672240281132,0.8373259176656254,1.1577082508136034,0.7802941958510117,0.680656526427308,0.7676418125464611,0.8241982842172042,1.6505584979605425,1.1317152764658651,1.2957298443513585,0.734286735028978,0.6710357544293212,0.7298064294188518,0.6617702885579838,0.7664376624022176,0.5882973887538958,0.7445486000086815,0.8118966284364572,0.962566097349205,0.7125946327475399,0.8252971221452507,1.026108948446865,0.8663293703602274,1.0457046194945716,0.6301005073901297,0.6245130391455747,0.6044419845750069,0.5861246409414607,0.6464544039701728,0.8301847106654285,0.7204688591805234,0.6404934191922967,0.6906828431503087,0.8398618418083602,0.7434108461496515,0.6844464179732308,0.8579628173990143,0.9852630728980312,0.7725067695175202,0.8490439863431261,1.090245630770084,1.1243331948378992,0.9076358564079606,0.9432746285102713,0.8204194466100408,0.7523932101601667,0.6712718608762145,0.6480397342143481,0.6996003027011756,0.6146363596742841,0.5878203605399372,0.6305278676557692,0.6507384959885106,0.5718177143673998,0.6555630292025384,0.8619852849746811,0.7265718258424122,0.7697704949483564,0.8017150177824022,1.043724188892108,0.9273127946165375,0.8874219615555242,1.0905014842745782,1.1353482710520513,1.1394427100107785,0.8439855461084341,0.6527232799565373,0.5645403043667585,0.7802555253348273,0.8600553007595174,0.9813469082436433,0.9644558397721205,0.7673991138221367,0.6143567238251121,0.5509392815649262,0.5235311160697607,0.5422807724778822,0.5519619392579773,0.6657087792260604,1.4018686465877805,0.6914515411556315,0.5893178273213221,0.8538450886679694,1.1153686187061724,0.5269900746281384,0.6799346025995845,0.803005349191182,2.101534176021174,2.69573367234923,3.434142683465724],[0.43554692874455436,0.42617035697252076,0.523746366397455,0.4010983302713378,0.5317141704263377,0.4498461479571976,0.3526362385196662,0.4031777221661282,0.39569325134636424,0.35921459539828626,0.3661629314951079,0.4544078692939827,0.35947603266446276,0.36417792635747537,0.43008555142436955,0.3777274493730627,0.43146151612913225,0.4397778605351147,0.5283612720429286,0.4720812747158572,0.5786659260657098,0.6716205046165021,0.8344602739446066,0.911752130208972,0.995267772695577,0.6991071321949502,0.4637502324650758,0.41807259573743105,0.3916837609062823,0.3863414407949886,0.45105327220622665,0.41697990321100603,0.5063782578641962,0.4458196256562586,0.40220214162064694,0.37962062057498397,0.40758107771849256,0.41971899635059795,0.4105990538303288,0.43319903672222165,0.539539666004133,0.508386858035377,0.5283764845635873,0.8956497880502582,1.1814341507183244,1.4786491321100763,1.871925442203761,1.1131982634737412,1.1380700795629537,1.3826643809908166,1.3736957385043411,2.052000581041713,2.061170615482008,0.881413693801502,1.4070249555681937,1.1067464247290826,0.8467698295280335,0.8204565578124365,1.0914505358983007,0.799869823561238,0.7913491676341861,0.673520407073446,0.5203964549963909,0.7588335939199469,0.5919039073605821,0.5200455785022516,0.7537222193794454,0.5179799112902455,0.7631221961820537,0.6444093831541055,0.8067837002349859,1.0479745933751534,0.7837942057659669,0.8551166791447223,0.6328509478964951,1.2549847489519124,0.5012331047124354,0.4846111361918357,0.3912341591962416,0.436639405555257,0.40420072464840734,2.1323949720753728,2.1035581834392425,0.5315898517095032,0.5451182752348727,0.4707852408026856,0.4104174951813753,0.4560689226818417,0.37822459076763415,0.43524289082005835,0.46962269708436094,0.7830929571776162,0.6072497347170968,0.5187077279069382,0.49271043206642445,0.5875023132112827,0.5696887282963022,0.49075920885992086,0.4700961914570073,0.7139111456751236,0.4902947621766679,0.5484218962480747,0.4340995919045095,0.5076635844462587,0.5937023210283647,0.5953555426195019,0.7878579305991679,0.6176661094386247,0.6367327312418675,0.8490364435068765,0.5809607267166875,0.4473289034664309,0.3545646149703773,0.3882900368272466,0.36596772860768834,0.38685737940297316,0.4257295749962659,0.4942058203206774,0.6107640700611642,0.49146163061074744,0.5085324813538645,0.4351255374662128,0.47665779026545,0.36646722928680436,0.3500335008073119,0.4349544639415509,0.5303382960289305,0.490531001824448,0.533613146700361,0.5838256232641966,0.6140292108710121,0.6369020942547683,0.6413309861545919,0.6129821220579112,0.6178023069738416,0.7653434945188062,0.8826679108984569,0.6958289811056416,0.5846375871083007,0.578554350807895,0.8471126296377549,0.8593461603449138,0.5516159640417548,0.5152672416809658,0.4867530295150899,0.41926759415132353,0.4021153514175157,0.4048173091871636,0.35742602205938323,0.3852430558132827,0.4664112108830532,0.4704141965772743,0.8058017031167579,1.4515928001176988,1.039832045122274,0.5794999504722743,0.4205302448005035,0.4601433447324515,0.3900225663541117,0.4267251756286773,0.4333214684830911,0.40050715859432595,0.48428889688542204,0.4704607875268607,0.6665500141195155,0.7030857789999777,0.9725183211825478,1.574639934926481,1.3668941346384207,1.2324711145396965,0.7804726402678311,0.6660021449314389,0.5906870668602952,0.5346477267674806,0.4297491178817936,0.46376550488827084,0.42763247297164825,0.6530450184970372,0.43224896070722263,0.4792368524534606,0.8951889421004346,0.5208013443788944,0.5372878950992066,0.6213655167567225,0.6088265723566936,0.6488102675498265,0.7061048005040774,1.1610052244330227,1.7862470477656707,1.6104578521620547,1.4538789631264812,1.1491866754198359,1.1871139046342567,1.0200243758832381,0.7906002593654442,0.824177250577727,0.7626372428557144,0.630813814357479,0.6327268464213046,0.6864572613671652,0.6001874672526357,0.6048413008207162,0.5971994495732939,0.5971509289928479,0.6392988400641278,0.6555309807588166,0.6220963212473876,0.6749331264783339,0.8315284142043886,0.7632249412751965,0.7627585245372054,0.9190417908973403,1.0344832394586645,0.9368976400104233,1.020191308580801,0.8415061113419553,1.2556670725924435,0.8425929423834033,0.7592011746463732,0.8787642203049613,0.938819889620725,1.6168590147594168,1.251185193487989,1.3426364457755429,0.809494982372134,0.7454012196861919,0.8248193673340372,0.7369152754960808,0.8353021609071611,0.6546695809563456,0.807655782055557,0.843336320997241,0.9970551778167381,0.7587652179723174,0.792644363448378,1.1006760266990774,0.8953669848922601,1.0253276747191,0.6613214163059257,0.670656969774031,0.6570549576964871,0.6689341393920497,0.7220911743519692,0.9491857191397756,0.8196769171419921,0.7489604985702162,0.832306964834936,0.9428128636067253,0.8612120663003244,0.824922966668798,1.0064181797367486,1.1130131046183698,0.919435906166582,1.0245722452377153,1.2570907638558777,1.287581797688249,1.0914085616601303,1.1403340569433609,0.9981208509773958,0.930339772134871,0.8291824356578381,0.7916485590847563,0.8453767141612595,0.7436173815425211,0.7048169020081192,0.7364334758807825,0.7432330239172721,0.6357270617135898,0.7348414797689016,0.9410164065261346,0.7783978321604518,0.8305098077293442,0.8792074458820753,1.0999707910300591,0.9871339238024461,0.9425330175411272,1.1344639361741558,1.1472094759254339,1.2049311895316412,0.8677925124942332,0.6889152630707284,0.6293958759035513,0.7907016168502824,0.9026603598340852,1.0323949742225806,0.9963823497083167,0.8033548986903777,0.6520655927624985,0.6012519995830802,0.5654784260697702,0.6145747815922834,0.614924527040082,0.7167917838902319,1.3451699142595828,0.7439612068269481,0.6732387001042845,0.882672252364454,1.1179628572680826,0.6070991687004749,0.7619019510327013,0.9533444976980378,1.8458747061604484,2.703975895039723,3.6786356456736558],[0.48345269714568184,0.4762642190136025,0.6062575160690105,0.4546301779079031,0.5570527201283024,0.4371915839982229,0.35506018221446406,0.41874303854876427,0.37775478704260035,0.33255160011352214,0.3402255392551506,0.4270331146286706,0.3369272410597054,0.3419726659971735,0.41336457432502627,0.3577627235357193,0.41035866013134814,0.43062746835845317,0.5218901256895744,0.476761171001044,0.5737974669741079,0.6626915747699995,0.8282854905424524,0.892706539657269,1.0072251008067703,0.6974825964018242,0.4684978855797825,0.4165864571035123,0.39513175469660666,0.3836249211530521,0.4254740601650137,0.4085749257824752,0.4980696613285463,0.44429718872324814,0.38584541241173237,0.37284341479490446,0.39829811566162326,0.4050210747743802,0.4029380390848179,0.43028265734508897,0.5293487335380153,0.5015977011400803,0.5135077062656893,0.8905278371593088,1.1627182442966857,1.4622537867606091,1.8505431785991084,1.1052099941306026,1.1310588724572963,1.380925640697532,1.3920162885237493,2.0458494004544794,2.0141150779226042,0.8690733953546962,1.418006359093413,1.1187434403218308,0.8573470616576987,0.8144785485529521,1.099531729018155,0.8039574349090752,0.7981874601370966,0.6905512891130411,0.5214228721777882,0.7521457150010111,0.5835986670056837,0.5180555898528073,0.7482243277243069,0.5166301019607338,0.7668205866409039,0.6428531812448477,0.8132752243396528,1.0407935818984044,0.7790981441275217,0.8366600558972496,0.6196141864154873,1.2607533514664981,0.48785446973433333,0.4588586688892538,0.3785512064389749,0.4367318984721857,0.3956394130830647,2.1092361332012985,2.1002451745639408,0.5488330710500066,0.5419995707762671,0.49004222592607694,0.39551200366860295,0.43723176049520157,0.36868655045433496,0.4315893916278635,0.4504452921990523,0.7573000821871294,0.5769658830787077,0.5004479305671702,0.4757865013325339,0.5748796237092408,0.5614811535693456,0.47508533459096597,0.4507688509154825,0.7110045708351628,0.48967038772338667,0.5809722001230047,0.44023106213930824,0.555824320121401,0.6244357355997061,0.6316475449918783,0.8346733764098365,0.6732314050361127,0.6840757096479041,0.8337856291723271,0.6069461682750615,0.4744188594522217,0.37070297889550274,0.38996395495092634,0.35187393290594093,0.38656350769956127,0.42060315715022323,0.47966765815011597,0.5890193531947017,0.4791061313266532,0.495398960047996,0.41731149757120056,0.45267160997983197,0.3577389626840172,0.35198138643622734,0.43740485930070827,0.5731528215052454,0.5144048960685876,0.5842260096255936,0.6095525148390518,0.646918226956902,0.6775413724657949,0.6641902779368859,0.6422511768032769,0.6381366782800642,0.7680054609357077,0.8766442070745768,0.7009246078273033,0.5750816236833859,0.5520703705980765,0.8168308743788152,0.8401550557944791,0.5400215270307682,0.4964432541936983,0.48297987251690205,0.41304630939899073,0.3994518520744184,0.4043540800717025,0.3730865630579426,0.39446347446275676,0.49641864960517046,0.4729944854832455,0.8326485500096665,1.3937954230851826,0.9848940582338342,0.5709605203109683,0.4083158453769598,0.49166448348993264,0.3882939936375998,0.46566515462393815,0.42505578548138506,0.4020456907622969,0.47759179766096177,0.45437869783419343,0.6471941054050743,0.703649831331819,0.955769903542769,1.5436896114035032,1.3521993159034467,1.2267536628154536,0.7829170434962822,0.6788699802741746,0.5922813561192387,0.5392327125202986,0.43305105802333593,0.46741116945823297,0.42599292824778906,0.6639358265509627,0.4438684498935724,0.5229398550203748,0.8903572263532871,0.5371208616224336,0.5699485464273657,0.6619277269822785,0.6190432183829088,0.6444744447108005,0.6822204702763927,1.135250663478963,1.796278704932857,1.6001039106313106,1.4488930575835786,1.1456389290462226,1.1728188740842191,1.0152612309456295,0.7984617725413782,0.8331836852684236,0.7792012989269301,0.6572264116063499,0.6813024177895493,0.7455313837948406,0.6899181004133642,0.7013686140496814,0.6730633848843571,0.6890635122918022,0.7427487944312108,0.7529992119754599,0.7104792767577777,0.781482473152585,0.9365117188210396,0.8485334322349325,0.8574800351809674,1.0173454098719157,1.1223762575069083,1.0192330012343318,1.0927104739710733,0.9145744314477905,1.3506376932244042,0.948367800417555,0.886417076944316,0.9949301437509944,1.0776491377196569,1.6636303263217078,1.4136365176852559,1.4523124043912403,0.9260323327945045,0.871012695114361,0.9363284101892078,0.8591963210031254,0.9402225285505355,0.7653653956575724,0.9292204386029322,0.9411584202068545,1.0888063833386217,0.8718314754333544,0.8658319181892665,1.1792986277156212,0.9522519259083981,1.038462882819923,0.7343427946817396,0.7365430429266037,0.7454929111702334,0.7976203756012913,0.8293637634525548,1.0850797685272766,0.8921990984593885,0.8328120570505094,0.9589138092462318,1.0516250659842303,0.9557529946975654,0.9198929327719767,1.1013453472124501,1.19242494477975,1.0068105124224007,1.1387365337452633,1.3636088678331517,1.3725557151026546,1.2054319418052726,1.2783554103068584,1.1248827442485163,1.0665320192522572,0.9530832385317647,0.9309780844468015,0.9920637632789275,0.8751204852638831,0.8293836603253313,0.8702547743808761,0.8705060180581631,0.7418992678644656,0.8412168731275017,1.0605783557716146,0.8769715680162814,0.9023000699950124,0.9816552672089975,1.1772823755391137,1.0699175206150044,1.028546021836847,1.2224892936313554,1.2248031776686976,1.3200674568224697,0.9579579353486719,0.7776317563870818,0.7342885959494857,0.8936574968586019,0.9878303277130706,1.1010480250474737,1.055673993164156,0.8806195652053046,0.7067375138410997,0.6645039696887156,0.5959525891291638,0.6786029387674937,0.6464369330939252,0.7481963707045214,1.298904415750059,0.7553667852951074,0.715492397091481,0.8836634731804518,1.0892477030920278,0.6366033660815198,0.7925511527086819,1.0932618945614285,1.7841128407248623,2.8328864202083257,4.005708685269059],[0.4255396988776403,0.46050181475853463,0.5988138274140541,0.4417612330242418,0.5391618504497621,0.4338568492852748,0.36270902288914125,0.4350147019493853,0.3945007579416111,0.3428661282845451,0.35868429826491394,0.45665170276314015,0.34161638831567975,0.34491776996112905,0.4363937313634899,0.37797503785918246,0.40630785750334364,0.425365826201247,0.5160864529836168,0.4819432847348678,0.5595060990020885,0.641515017861805,0.7837448370962518,0.8359446526564775,0.9791755487286805,0.6698562947606271,0.44349037457763385,0.396897560918226,0.39480148488768296,0.39354982226170065,0.436153647579569,0.4243965126226588,0.5132641026526295,0.4615318166467809,0.39621442773730575,0.38980545472459127,0.4025726801305988,0.39627247970441626,0.38047512167053293,0.39813526011168404,0.4781907534797661,0.4702323420839115,0.4696237813192457,0.8343485659399494,1.1019940095637308,1.414210042580314,1.7721435072555625,1.0317897473479902,1.0733263978219918,1.311044916178004,1.3142077091888873,2.0599596123742114,1.9422423308548296,0.8346636474474708,1.3820697431003273,1.124315637358554,0.8310342079045779,0.7876080897904172,1.112853704405404,0.7891869416301042,0.7832842364666606,0.7063817957505605,0.537713526000053,0.7520669446851693,0.5709045363075298,0.5347851027273034,0.7671629470948059,0.535574033267365,0.7744318319018736,0.6737761129508929,0.8389315737148848,1.069682034098428,0.8081778115071657,0.8387883773815034,0.6248573840379109,1.2501082503777903,0.4996313147604153,0.47408034083799816,0.39410842346478797,0.4332788707164595,0.4033883324593225,2.0710943433783493,2.091584137086023,0.5173681640204629,0.5311041814081021,0.4992447301370049,0.39037562382910784,0.4489254108966591,0.37549149354408906,0.4626247315082342,0.46361219947433907,0.7420202272579082,0.5821586397770878,0.5109234554636255,0.4881559574821074,0.5853407293639569,0.5837548410183488,0.49162214672618115,0.4697313838660342,0.718091321320558,0.5038274665080981,0.5822974104174511,0.43792912560997627,0.5606962193591266,0.605013308060425,0.6064982142897001,0.8364140127321789,0.6446579654475086,0.6591078232008422,0.8188701103069477,0.5745078589247059,0.4553830456305714,0.37065248427426656,0.3846688244881965,0.3426351187041271,0.35917001978142515,0.41336376155483184,0.44452734585601766,0.5507767535473178,0.4656628143420077,0.4758827804685583,0.3968676777560419,0.41592260854339935,0.3360423844965954,0.3481312174791364,0.42221094053873603,0.5359467192399078,0.48411713220207647,0.5501717407159087,0.563963086088533,0.5885073353747351,0.629590696692326,0.6001182357071302,0.596274825830309,0.5873892154295954,0.7112744374906006,0.8672605514175705,0.6445144145006488,0.5362499540464546,0.5157892107623134,0.7715634026876088,0.7781735649709218,0.5105439030473631,0.4504962058002004,0.43937451656718146,0.3894402246678528,0.3762900266655807,0.39204538886500123,0.37062632128743395,0.40252440289421537,0.48488611738695353,0.4614805195204483,0.8141839604712244,1.3541280496918338,0.9570537063818236,0.5705603330845853,0.4212090698974116,0.5063904349218024,0.39165290245156587,0.48719912150444766,0.40640383303881267,0.38377527423565583,0.4334092996150485,0.4158557490409651,0.5960469707436339,0.6499451747378022,0.8814833614601891,1.4439745692006318,1.2824564818964563,1.187739103265978,0.7457573349633368,0.6301513538771716,0.548399005518082,0.4992618429047926,0.4084111793662822,0.44071211729526083,0.4283958905960561,0.6585124599659767,0.4234207380175694,0.5176882651809649,0.8295676990324347,0.49741919438203464,0.5246381006994896,0.6257963931115452,0.5844805153167667,0.6002351985455507,0.615088145761854,1.0611737899772893,1.7541832501004393,1.4905059875818383,1.354285091338848,1.1205299571590102,1.0734295978508315,0.9346548453985304,0.7214515472031109,0.7620637655766371,0.7157154894303734,0.6005225628476291,0.6298746124475582,0.6947753648124084,0.6515824754058838,0.6692286058751251,0.6351381313725177,0.6503847692691315,0.7012350964355408,0.7094396192764968,0.6745942630782901,0.7278164585391959,0.882327051663189,0.7932530321902109,0.800137596133922,0.9467702497321308,1.060526375821938,0.9400902964204192,1.0128554627868884,0.8600669197233363,1.2717475192269387,0.899145148338372,0.8344316643203211,0.9253387261253878,1.0004772080698503,1.6799399947930982,1.3541219008004488,1.4332009742682164,0.8661161381696781,0.8147698069281363,0.8949304233432839,0.8060973802884885,0.9024164868906758,0.7304697926656142,0.9130129306426692,0.8901276297315641,1.0462751942993778,0.837119408681398,0.8329887903143502,1.0890845246523995,0.8985799192738646,0.9999628879779278,0.6999274971842413,0.6844784531451015,0.706517796564001,0.7763025923049149,0.8278971489291803,1.0784970960317883,0.8911770825439863,0.8151069301036514,0.9336988328613081,1.0449972556933942,0.9482435088726612,0.8788031376767471,1.0718673123646272,1.1678488892267362,0.9694418777754431,1.0899149789039393,1.3195512755618086,1.3230005985344488,1.1364096079553512,1.1943585211218317,1.055398809004457,1.0064601870636696,0.9082949157037942,0.8760738274783411,0.9226274061054353,0.8140628952542883,0.7769867828422966,0.8023975662949264,0.8042497622008498,0.6903983730895862,0.7734571948901185,0.9705955908786088,0.8195851454037416,0.8432219734082136,0.9046265494914875,1.1294387958647,1.0199906725209988,0.9931956963566273,1.1828930833229006,1.2067542454842741,1.2868875685286578,0.960864889138705,0.74174260872412,0.6970018873097419,0.9087119504825898,0.9795631860630919,1.0837119610199575,1.0324227159651918,0.8442103452345842,0.6672534292121297,0.6103703338107799,0.5612278127897528,0.6595101119407422,0.6262921343485242,0.7319843127253517,1.2979287786132485,0.7156560637591656,0.6797126865499402,0.851565790669165,1.067953104851416,0.6021061499393833,0.7416251188969525,1.081468054052677,1.7408041011131772,2.772330761903204,3.920488635755278],[0.5886622492059661,0.5879360124588188,0.6867382608000876,0.5059799955171108,0.5959580891486856,0.5040422506494325,0.4371896220130005,0.5436406063498262,0.45761954141039785,0.40404180264443557,0.4366471086181092,0.5101690429689135,0.4275725841842368,0.3998180866385489,0.49870750091254273,0.461584243768642,0.44359528852511815,0.4674794094062205,0.5166598786876047,0.4855890595459873,0.5236447320238947,0.5790158341028959,0.7664282935510394,0.7744585564350859,0.9452622592864117,0.6505252482693608,0.4505231765079666,0.4148677062674068,0.42550749949005723,0.4730153791649328,0.5058486387945541,0.5382292615994536,0.6116405024400888,0.5612947757729277,0.5164975915597751,0.465744390976396,0.5053803920267848,0.4384232435452407,0.41109587464048125,0.4235770723520953,0.45791326332964777,0.4724457003634835,0.4798230298157997,0.7757522411596387,1.0520519476274697,1.3701591422388855,1.6802262927507505,0.9533692955927205,1.0047218805405285,1.2273556883258636,1.1999460741949044,2.0792792310170403,1.8912224564704676,0.8264019343222602,1.3488951083771454,1.1399710538822123,0.856634188194534,0.8088777406399497,1.1583012934055232,0.7787901635218424,0.7829203756228378,0.7298729336483023,0.5659996994378798,0.7324496614594352,0.5527184407368728,0.5390281880126159,0.7497027040980669,0.5483334136544269,0.7933097954459924,0.670422601660507,0.8422588325835291,1.0723034549268229,0.8186851024135278,0.8395005715427704,0.6295670227770961,1.3574688894000018,0.533674417175832,0.543597547811846,0.46162746254897835,0.5114994696816286,0.4611854828241033,1.958490763365455,2.076884706880398,0.5797049262984709,0.5858519590529477,0.6005901195012526,0.46082401669006057,0.534207084944407,0.4542592124260752,0.5498041185670675,0.549111619997668,0.7956308263507885,0.629647133243874,0.589185684625794,0.5559049959661178,0.6343895265108039,0.6167324274317164,0.5778628548096715,0.5774210500569474,0.8298446022169643,0.6207584818272611,0.7060964882761402,0.5852862983762199,0.704231925702347,0.7314759297845747,0.7207656867126249,0.9621516556823188,0.6970594116071122,0.7158422274646897,0.9047554139528466,0.6673546060010882,0.5274187900886566,0.4535271061200906,0.44926191812719485,0.4076026468305399,0.39752942279516096,0.41451688007860593,0.432427375889146,0.5393349079043537,0.4870336436431564,0.4695610462758458,0.4111667343594186,0.45203326749908124,0.38040846459480654,0.4206673084522137,0.4739568261852974,0.5734541270113669,0.5447181543259754,0.58201712162606,0.6058791291880798,0.6047687959864596,0.6890819482349015,0.6027661673171981,0.6483131602844299,0.579322475670569,0.6430203554796533,0.8719235738270401,0.6008192742284735,0.5463650209633285,0.5092637927221494,0.7754787617216877,0.7523647440631344,0.5219966139755701,0.45167083531036706,0.4392294544092128,0.4321634141570323,0.41232176022468436,0.4425491966631053,0.4591632148087573,0.5051436053132099,0.5809715799197974,0.606190189348013,0.9689532996905053,1.4433749289810205,1.0235012078021197,0.7043685092746546,0.5683363212243069,0.6302249672712005,0.522244396110401,0.5856815687410822,0.4635751738842295,0.45428332216812023,0.4364893413857051,0.43305246645715084,0.5706372583643405,0.5936786176300233,0.787322597141575,1.340057278252605,1.189632983111717,1.1239701096036405,0.683231841307999,0.5826364223322155,0.5453875769505634,0.519655998996969,0.48815431970575673,0.5402755056745224,0.5312551719238087,0.7756109959796413,0.5075525896761007,0.6077465696017154,0.807289780170262,0.5702452517339739,0.5770504684196287,0.6423218581705719,0.5924056374733778,0.5884443377946302,0.578033546916216,0.9925305793214341,1.7359965004508242,1.3881623489162283,1.3180689634786147,1.1353357821981467,1.0062448796623469,0.8812289607310394,0.6817702401294381,0.7237382356673997,0.7133265505058176,0.6156587812035064,0.6562146272517712,0.7278915152575035,0.7271793692344576,0.7991671168568106,0.7156271940834926,0.7180427510746152,0.8047841185099635,0.8074737257278582,0.7106662522405078,0.7955955326180818,0.987505367431275,0.8531443574666175,0.8444139781005789,0.9955578377476266,1.088535648426479,0.9390129925266117,1.0084110778337936,0.8871861786471342,1.267652995534839,0.9276833941586569,0.8808094924642575,0.9865894602773095,1.0543113962902462,1.8326400422996447,1.4608828319066445,1.5443124002746662,0.9447156039475243,0.914966686304595,1.0170843436213763,0.9359722515911413,0.9738475449763282,0.8432545900628827,1.052170960778675,0.9289080136350761,1.0857630331754007,0.886454100309607,0.8741162933311353,1.0389346131020503,0.8744955434848929,0.9423115113646167,0.7242478539466908,0.7542018024183704,0.8050636820310799,0.918389680667848,1.006816062299777,1.2732067621629455,1.1014031541195828,0.9932056371105713,1.1245191398277192,1.2500202695663578,1.1341990732835223,1.033800809992945,1.2411420578750734,1.3127078333612865,1.0924577799236213,1.2385379337108775,1.4635694174343876,1.418482401951116,1.2403478642920138,1.319081231392886,1.1726229230644982,1.155580771393258,1.0617077641410038,1.0214352965690245,1.041837532186387,0.9174015707082596,0.9008522558946823,0.8816384075581977,0.8639542186638328,0.7573695424012767,0.8378669983865588,0.9627589102520889,0.8362919471219379,0.8383797431072832,0.8976990502700356,1.133427486434907,1.0183366652935226,0.9937860971376711,1.1628209909765748,1.1954173665062908,1.3165514360904396,0.9855408597401405,0.7692434004599883,0.7300998215478427,0.9630281088953064,0.9969593977365053,1.0804407261172153,1.014767934806298,0.8431619300119741,0.6876924518925152,0.6364482337580579,0.6052696351184713,0.7297839186432716,0.7367998399592335,0.8640150554680625,1.4233411925817105,0.7825608094390534,0.7956451026081948,0.9637972549613131,1.1074084880357926,0.6933162089470994,0.838405320464251,1.1623566407325794,1.8087414425975967,2.8445558141934817,3.977007081922279],[0.6314037425132834,0.6133510267847359,0.6907871117820916,0.5127472545962649,0.6105186623349427,0.5571819243078707,0.48857230263667717,0.5962391723794518,0.4848364064952986,0.4420684972855007,0.46706518390343826,0.5511865755150118,0.4647945436946073,0.4162046966320597,0.5109782666623042,0.49254209165119633,0.4672103119261314,0.4685970668074453,0.49653425433779297,0.4765557145600677,0.4878371870196346,0.5478609283517322,0.7125437650133913,0.7302160977202614,0.9078696056550902,0.6269355261665253,0.4298376219952193,0.4149555541909563,0.45317986141319144,0.5022716997160355,0.5439954994421665,0.6018893438541514,0.6709945192719332,0.6096583841392057,0.5728154635757068,0.49987778571949465,0.5631203631644663,0.4783241842746919,0.44519652367159485,0.45069068969090975,0.4408655678132726,0.4626973078004608,0.4805952832930738,0.7223474538148993,0.9929976387368837,1.3237195130286437,1.5894718898335685,0.8647758199751631,0.9422149859889932,1.136481481448142,1.1069588661589123,2.1402147783994856,1.869429715718492,0.8159555167434043,1.255363941155424,1.1358018429508951,0.8692274137973405,0.8066683411040808,1.1936105737050027,0.7518296902626572,0.795735040668045,0.772967227490786,0.6045763470137827,0.7581022563985482,0.5644396178658393,0.569859038418199,0.7410983334216193,0.5646610847118232,0.7856162024051798,0.6819867012402858,0.849356003719668,1.1156547341761813,0.8403209278637555,0.8298965762156808,0.6529203093542533,1.3431018167381639,0.5519375751686105,0.5794700558565218,0.5071761023989766,0.546791066002302,0.5156751718206155,1.8803813492063757,2.0655118602171316,0.6583780143783494,0.6096866686180689,0.6591894479753214,0.4999514199988837,0.6043694058003853,0.4849285165727908,0.5897531803076022,0.5841619759766662,0.7858384663738621,0.6451661100129289,0.6200244269846813,0.5896651079527954,0.6447709509083673,0.6444993385395567,0.6305533715283053,0.6370631394551426,0.8912652045129532,0.685289744842459,0.7701311324015603,0.6542638126399277,0.766156009079064,0.7956918772143303,0.7677426351064599,1.0197845697137757,0.7292973669382048,0.7562501280985915,0.9445971414892574,0.7002206880630589,0.5672261881691951,0.5055742163956689,0.4961887648524949,0.4436984125480936,0.4047315162687978,0.4224049351666976,0.4080652485596093,0.5403762780956323,0.47283233324657686,0.4517503095238146,0.4076611013634571,0.42620554136006533,0.3987811112211786,0.4713975288029934,0.5124626810221308,0.6046811278807382,0.5714843227008009,0.6040084376809051,0.6397031889134415,0.6198566068077382,0.7070729323599658,0.6342965210467287,0.6887718717844292,0.6025816447056014,0.6421509798390485,0.8872706589420534,0.5984552551624839,0.554661217048012,0.4972701604266337,0.7510193316359227,0.6781063419177107,0.48987951677776176,0.4404458574338224,0.4388173183985813,0.46559085597527594,0.4322639235307029,0.4979814765056057,0.5073594566528565,0.5554827215984388,0.6243382907370585,0.6536160834264427,1.0259843665226178,1.5013171260750344,1.0713091472669747,0.7620809102224549,0.6324091804337791,0.69029150874816,0.5845984280507359,0.6490430103833627,0.5116194397207687,0.49826363004187274,0.4367006973329994,0.4470648136223872,0.579325618265501,0.572563250464797,0.7390565488260428,1.2771360162530234,1.153529579613098,1.1089322619535993,0.6646377079148879,0.5756552659617387,0.5493155128268948,0.5604221594362014,0.5407983761447218,0.608675188227285,0.5916978547344932,0.8207493581193883,0.5750839699789005,0.6677514922611035,0.8349497321752664,0.627501943480132,0.62118279686217,0.6508837149888945,0.6159693256157667,0.581986911199117,0.5544018005390813,0.9308559646769478,1.6969875125369773,1.315267849626524,1.2961254474276787,1.194642572745931,1.0137692060954813,0.9088359240542044,0.7087175869284016,0.71889436853758,0.7437194166391876,0.6371200914652848,0.6622787973677243,0.7107121332009265,0.7240134885318936,0.8137517648391875,0.713660864545579,0.7076625873563507,0.7993255962413501,0.8003886307714849,0.7038106428151982,0.7812074563750616,0.9636931835577592,0.8198566666136544,0.8105100653956225,0.9418068906530086,1.0156041137228706,0.878321342144836,0.9432897165745416,0.8733768552752662,1.2079705911187382,0.9217766467123617,0.8547312517711685,0.948812496001707,0.9972318660933092,1.9488044513127138,1.3382931927776438,1.508451171438057,0.9487910740415938,0.951607328158601,1.0648349062084785,0.9827443849790938,1.0031143748082512,0.8347830980962655,1.0561766518991698,0.892679725579162,1.0136743043499967,0.8405579061650756,0.9088462200765628,0.9599923965109446,0.8807115148085727,0.9364980960112647,0.7218579010899868,0.7551885766763888,0.8412139519145313,0.9377505686255567,1.0546572758078019,1.292749367811751,1.1585676791425064,1.0489825492046962,1.158942938062787,1.3125127813450423,1.1672194723326037,1.0511991899420052,1.2630827787547847,1.3316810010129954,1.0928054696232843,1.227560875749941,1.4557176593336099,1.386272689650795,1.1934561266317079,1.270073159634358,1.130752564120178,1.134173360185056,1.055841097210282,1.0286409524253426,1.0265200162645665,0.8986949285500335,0.8972158765336671,0.8756232480928103,0.8553832617975343,0.7556234783298458,0.8155923226057425,0.9463132530546603,0.8233904477528277,0.8324244485280615,0.898257615468445,1.0904777611770444,0.991755384155932,0.9688375356387754,1.1229852223142704,1.1687127511441697,1.3190203121816104,0.9802445287925823,0.7713574033607866,0.7327153766562654,0.9760038545360061,0.9874119145708313,1.047608301504442,0.9821052151275322,0.8116908461496006,0.6704874700899605,0.6379129089488457,0.620857045843736,0.7128690350083283,0.7605625315451943,0.9235515683448946,1.5367016925653092,0.7974223002756639,0.8199911201488361,1.0199296620710594,1.141422352466838,0.7170547468802798,0.8559434588805535,1.0939807033884623,1.8887762341855774,2.767176446388356,3.776264339645372],[0.928536908519268,0.8843356292581758,0.9412506906846217,0.7049742326645373,0.7788413587949862,0.7471399548885224,0.6783091668635883,0.7400703856839599,0.6472001454906594,0.6205478546322004,0.640317500161209,0.715708101934381,0.6372363786334282,0.6340675856398043,0.6895130185033181,0.6603519040179601,0.6640316791697402,0.6555709164459873,0.7386822728001471,0.6977957942177219,0.704215309219965,0.7066621258842852,0.9079473052962009,0.9196392059123439,1.1804324259217627,0.9057646309350401,0.6978360924810579,0.6616051868132221,0.6496639281447174,0.664432389811347,0.7007414735126273,0.7243498540534419,0.7754114781113486,0.721209481071203,0.7108873508741881,0.6738231417655879,0.7097608563300182,0.6632860527488255,0.6432104677314957,0.641512651256865,0.660514530181376,0.6960910081024805,0.7271390662037336,0.804874291637569,1.1016233910006854,1.3610695517115414,1.6447983101133066,0.9307796774633412,0.9572575472751137,1.1805181172202932,1.1270709988193819,2.0066762636864324,1.7771194605384097,0.8107692139086208,1.3640147391946424,1.122558630022089,0.8917436774915997,0.8695966667910251,1.2336730603984827,0.8911160000737555,0.9733906026042458,0.9676140714887832,0.7504045233184882,0.8499999952980332,0.7380768078762048,0.7542862774361107,0.9243682656092859,0.7222309903154999,0.9161605428647744,0.8243684012061785,0.9780874362155635,1.2495703474419406,0.966508528140815,0.9785863590042317,0.801813120215064,1.370588151836768,0.7087859747621204,0.7042164610539847,0.6627869039977087,0.7087129727309929,0.6431455593364492,1.8044319991848503,1.974415605475249,0.7999754521995681,0.816434659199118,0.8590724954006758,0.6870568820340908,0.7200466567530224,0.6594159437052918,0.7267942201818922,0.7191546959996863,0.8514964697021848,0.7324612307492141,0.729124352044251,0.7113644471027629,0.7466169454829125,0.7802786600486858,0.7463447480117945,0.7595551548347792,1.0007983557062075,0.7991711073765616,0.8856976907905865,0.780536019013454,0.9538090832576238,1.0026164144205076,0.9439883382349226,1.1794439729893162,0.9155179309461846,0.9254895896319438,1.0367593527020331,0.8728119818736084,0.7345227097957803,0.6758868840246325,0.6612146353124964,0.618799536445436,0.6191417700814682,0.6857561660214252,0.6787372796902792,0.7898483416900232,0.6640706507454972,0.6966782583901469,0.6544105833718733,0.6599975103449406,0.6107523188316284,0.6477162382227625,0.6644355967858372,0.7342573561590618,0.7397514410587649,0.7709267506063052,0.8027543618246274,0.7994321976652335,0.9321605037491654,0.803535401483146,0.8618597689065649,0.7411558986380337,0.72085929821731,0.9603474808377079,0.7020758556048116,0.7307022899797625,0.6802899714325477,0.9339102413527306,0.9064440071889485,0.7318166312066713,0.6747518877950825,0.6554477282137673,0.6630755658290179,0.6402511865218224,0.6702807296837431,0.6651261310843286,0.7168424446650803,0.7757793966209424,0.7987018565338851,1.180260814282114,1.5729182665690207,1.1589453009522435,0.8941057156696414,0.7675710802474234,0.8555754330965816,0.7305681789781325,0.8212598770558239,0.6535390747620735,0.6627188600666873,0.6131169805291357,0.625686098814162,0.7864831568769706,0.6632456181993588,0.853216733168037,1.3659640533842619,1.2274326380467717,1.1824571787812856,0.7660815093464396,0.6697548336711249,0.6983569912023035,0.6695643578576572,0.6872081079753206,0.7590294308657267,0.7301739687350604,0.9544915559801465,0.715313787607212,0.8679766241735377,0.8285473155339071,0.7949845033685581,0.8022467840736487,0.8511961384935071,0.8011366010578725,0.7226382966723989,0.6800051021219699,1.0470974355004854,1.6768885793717716,1.4155713465036253,1.3904177301273033,1.2060464300171827,1.0909405002567631,0.983818706760367,0.8329158846358679,0.8836763171780146,0.8781988115961351,0.857073271340402,0.914741674361557,0.9722896242352316,1.0412295611734315,1.1200621073726493,0.9814311685875925,1.0127371227577575,1.1459943021305357,1.1263432616603517,0.9505130035897191,1.119722432525845,1.337887151448072,1.1418478316646183,1.1371525893946541,1.3294083048393852,1.3848947432457024,1.197720497276013,1.2792087654850992,1.18118640685922,1.5839536677625092,1.2254726579551949,1.2000197316129133,1.3692280057641466,1.4253680009395722,2.16183078572932,1.8629182830957958,1.8903853581821015,1.3374150327622323,1.3225063127150496,1.3913959455570883,1.325667478320155,1.3196405174897965,1.2002712434594303,1.3974965956337406,1.2214649173800372,1.3345930054363453,1.1840026259665728,1.1620500900752586,1.205848133267501,1.0937478981771482,1.080572472358793,1.0065461654336807,1.034983133514366,1.1417643767477308,1.29121714645996,1.3888375648357598,1.6538788653241987,1.4702423176284614,1.3559502624499786,1.529952477185646,1.6611576041254377,1.4739006233212604,1.3981991987620426,1.6221907986604502,1.6639163118492453,1.4465021767515638,1.6304054838155762,1.8341001273888051,1.730232450467088,1.616862129110345,1.740361360850255,1.581508362521938,1.5793620037198584,1.4558744147554874,1.4510208189644411,1.4771162037130692,1.2932819028448415,1.279146161853092,1.276182938287101,1.2319607762609415,1.1008617691021227,1.2201061879683017,1.2423915130033023,1.1178977844998996,1.0987602789271207,1.1820624510527804,1.354442647104592,1.2569644232071822,1.1942173849923556,1.366020469490788,1.3546391070613248,1.566009084137552,1.1668511793329128,1.0189939968011215,0.9566246865278046,1.120173344502478,1.1260816839466694,1.1885726472971647,1.114302170614805,1.0166633927380122,0.8878581447377278,0.8561972893980249,0.8039869218965879,0.9561277937446768,1.0010448336641145,1.18178136079725,1.5318263594096893,0.9964448087159382,1.100520751502653,1.253437588701211,1.2406389299637162,0.958216230869139,1.1659758740316504,1.5445131131575214,2.0791020524435995,3.1878105783297124,4.408358889945942],[1.7172209536838323,1.69549540715161,1.750550484861547,1.5688416654982584,1.6338790238319552,1.5981743480401822,1.5467085665984983,1.5680970820996183,1.4632616074033469,1.3964510343464565,1.3761380715850668,1.4662227329681694,1.4237221244831648,1.315792533106738,1.33768087543604,1.3930533614213785,1.3834838716345528,1.3475157558572575,1.3071193895577902,1.3919648546935466,1.32895973952922,1.3707532211734301,1.401882613430947,1.430894593514991,1.6882788123116323,1.418776186741287,1.382189742119212,1.3633053287469283,1.4026069708448734,1.4739129149610701,1.394085435748061,1.4811979028290712,1.5230949454670146,1.4756624567978052,1.4880154095541234,1.4373388968615728,1.5081637462910853,1.4590402355161332,1.4626488185451367,1.527090823451974,1.4270474556972845,1.3999123982653006,1.448894839729508,1.4109770440006784,1.5385914417331854,1.7047908963305116,1.8298522782125781,1.4687033111444179,1.4966542504630793,1.5467103089413816,1.5700249988820967,2.4369994875786216,2.0054832455081857,1.4950939855373466,1.7331255814918187,1.5603321338266545,1.4444040680518437,1.4612371863890432,1.67670099115278,1.484896317543041,1.6698741258891256,1.6340301822497991,1.4880096096479212,1.5132946923887853,1.4236767638144634,1.4648217391439668,1.4158837654906364,1.37528462856758,1.446945780314359,1.3748533922492463,1.4740798562831001,1.568680971120966,1.42186223763585,1.4063132707218386,1.38760146001915,1.7998906565907653,1.3998498561717514,1.412676769251645,1.438002805889088,1.504417699583655,1.485200772152442,1.9573968941152935,2.185422161891598,1.6760654771456427,1.6170333316031729,1.6609978774211434,1.495997402338856,1.5531128440559323,1.4436768422640116,1.471447746913414,1.4374066852803848,1.4273555874895516,1.3855170599339668,1.4026163285844753,1.3979078443526824,1.36142105233345,1.412044002556995,1.4624729843930921,1.495162251492649,1.6686853286068224,1.5682445904984865,1.6647037979930353,1.6144965366011739,1.7680321185845054,1.8425227212024822,1.7752899059913496,1.8743553736703582,1.7516579437889421,1.7367113628121942,1.7573318666882962,1.716235813674958,1.6117415222589901,1.5414371312679298,1.4910921048718553,1.4148993679355442,1.3744172632654104,1.348084366295315,1.2475683627579746,1.3438587901485202,1.332837651629878,1.2880163010255572,1.2914490766538136,1.244744981631232,1.3486312556934443,1.4533562206106816,1.5057356951388488,1.5926087668151068,1.6124234747651214,1.660417079460793,1.6889456670299334,1.6916956448128806,1.7994294815608676,1.7075887109216943,1.7603749597837686,1.6439026073952456,1.5307389539905145,1.7120899736741324,1.4640283328898214,1.3624704048722445,1.3742990148628071,1.2497726938148463,1.2716928557843887,1.3396708494796778,1.3402220922608687,1.4121550977236745,1.4571393723980526,1.4487279908156154,1.4903533137821094,1.5426780265349402,1.5443391092605607,1.580478363531732,1.601958217077737,1.8398674585466281,1.9616923259930636,1.7246811653490415,1.6422141938897885,1.5733828642063532,1.6557969881724839,1.5651363879790154,1.6873516112058509,1.5435028133033943,1.5107544293225965,1.4555315498758608,1.483145363387899,1.4842993923685792,1.4374988054511841,1.5000955557236904,1.674410169296754,1.6831170958679784,1.614543944305278,1.5257216455309555,1.4792957070997605,1.5192634551027628,1.5630661320680774,1.5858769569990796,1.6333434843720167,1.5713915824638354,1.6962579553749095,1.5947155131935256,1.7351425683587098,1.6610603250895593,1.6894999094109897,1.7226439776215154,1.7553979058540912,1.6922828605646014,1.5687364233313468,1.4530546000251099,1.55497852965018,1.8089119452102977,1.789513258427199,1.8645358053633732,1.9210559660782702,1.8185245099371745,1.7735132518916497,1.7021374145078665,1.7033720792025773,1.706161542968915,1.7144593127438823,1.7408624962395496,1.7919254110402674,1.8089490412251172,1.8700988628843225,1.7919261881304802,1.788046300801153,1.8438986944911924,1.854217496304052,1.7292744521871553,1.8009032454892824,1.9253220049265392,1.831099233969438,1.7873287492492371,1.8529677519473833,1.9236415189969376,1.8256861061497403,1.7851693890082567,1.7903874581780712,1.9391879129313758,1.7457288453862263,1.7684787025813407,1.8277394304225547,1.8679549185481632,2.4114888640295584,2.2121792089497094,2.192549986456624,1.8297681711592606,1.8461994167691596,1.9762278561592632,1.9422141193246611,1.8540149279311207,1.8656983835724932,2.0550157242697256,1.8540778153335966,1.948271264152781,1.9001733926162445,1.9255496462665282,1.852728100670353,1.8055543409284742,1.7689778658262332,1.7766159927030505,1.8225717179877776,1.8920630003460779,1.974476851842534,2.0431389789274164,2.205125795653526,2.0769518745148834,2.016955022488168,2.093812951194268,2.1718383710086475,2.0817483291658325,1.9997290663340774,2.109159775054753,2.1484276411864625,2.0019088815007966,2.0753169351787752,2.1893961581121983,2.136076428767463,2.022252492711881,2.0595773951859364,1.9970553124303605,2.0072084881727,1.9854390311650478,1.949019241181077,1.926378298778314,1.8664416138263675,1.8824745064999755,1.822733870491788,1.7932441153107732,1.7784207986805909,1.8338363954967014,1.771690638891061,1.7708661037648366,1.8006699209026995,1.7731213465527795,1.9042307543189165,1.8762519001533675,1.8450014503447905,1.8837586877606383,1.8707933835612451,2.024211605797478,1.784772223596474,1.726908309872803,1.7267275644541928,1.8149489560029888,1.8086091066881482,1.8255097304898065,1.8096822038393983,1.769364967263476,1.7046439815623629,1.706996794660218,1.6868747684293557,1.7742414690843402,1.7883317577952575,1.8779338725857988,1.963494066788456,1.7646912905781225,1.8354269982885254,1.8948118547789907,1.8508537067445359,1.738679547028539,1.854120594092528,2.0978402865367047,2.4734945018910697,3.6149155407694957,4.851270442061256],[1.1989777583256196,1.19655971503602,1.2245344079105809,1.0084387569338424,1.0691688916361353,1.001372472232283,0.9341856482306428,0.9742995906211009,0.8395260991424475,0.7872172685708311,0.7759819525550407,0.8862231988880779,0.8168179722836246,0.7203753930837684,0.7805973648638447,0.7964434581035599,0.8044297524253397,0.769421977742968,0.7424399333124544,0.7866258177985674,0.7551424212384608,0.8119628470246023,0.8975705382085503,0.9321248330744782,1.1699700040224792,0.875738479371512,0.7901732192104525,0.7875617784209835,0.8073066515288208,0.8562660471423622,0.8098136474853976,0.8933733025325523,0.9604198100112238,0.9022545286506638,0.8930162818391725,0.8250940799258533,0.901064735256543,0.8374037017732698,0.8401342007129601,0.8788703365120413,0.8427095069121759,0.8217606678164324,0.8309822853765857,0.9771486776406887,1.2341674160078313,1.520065268678214,1.7854423074799615,1.1467240634932372,1.227718794004922,1.4085693635104428,1.409563406897825,2.2023868410264154,1.920166273477295,1.0833038251070157,1.4934505129127529,1.2929084566055447,0.9851231402074535,1.0382887537978711,1.3780553939453628,1.0087103991996702,1.0877423895282767,1.0227506990456285,0.8403988336784898,0.9280387160375394,0.8027950874105843,0.8393789448002811,0.8789392784966357,0.7882934764622584,0.931355978990263,0.8509354916651455,1.0090334070219387,1.1919464602894165,0.9634056296345958,0.9631223719023873,0.872013691254436,1.4356580433035793,0.8001266526215626,0.8384310640089965,0.8206325872900183,0.9012612693225525,0.8995305609844849,2.036318624448794,2.192873488456661,1.000670972243642,1.0090480865262517,1.0248339766511894,0.8722801577006009,0.948386659383998,0.8255626971239689,0.9059142863788878,0.8481693675454869,0.9331202276910696,0.8411554737750505,0.8539755889774966,0.8388123183587497,0.8572419024943283,0.8773322499459378,0.8930843123441329,0.9148094742114061,1.1488314510194761,1.0078936668880165,1.1230278555572888,1.0297264897349454,1.2014619429727003,1.2799747420738898,1.2577426162415255,1.4900954298078875,1.2933959119922425,1.287184676825833,1.3467646320562938,1.1993841546411363,1.0404731736455368,0.9523602118728612,0.9050070133768711,0.8095254312595962,0.7938682176492806,0.7990942672087172,0.7124547633625317,0.7624402597923984,0.7902233582382493,0.7357857933122177,0.7328422478792483,0.7384979022048656,0.7615353580161489,0.832513163433664,0.9130949320675334,1.0624864058497734,1.0566247552719568,1.1241888405252316,1.1448148513566012,1.1638392903684789,1.252951363040575,1.160736202275458,1.1759794341252443,1.081658086394005,1.0829377125107236,1.259667137556322,1.008821332095926,0.8742875070531236,0.8608391618168271,0.9162405271304404,0.9173626037278999,0.7999879267874728,0.8014604293452247,0.837318473228351,0.861285931774878,0.8527105639640115,0.9043085604810037,0.9472093047736928,0.9712626669065445,1.028690793215332,1.0363872377169157,1.3568120925968497,1.6289645768544485,1.294612013844302,1.1088984234122496,0.989237156432854,1.1050098861737698,0.9633694280141933,1.0982072924109039,0.9494270009031938,0.9141640616878874,0.8806795920686813,0.8909559779902305,0.9636323584368919,0.9813281528730018,1.0857891773325323,1.5049596916551953,1.4089487294391583,1.3546944154837797,1.052159169289707,1.0037225321461676,0.985986335814508,1.0281067109437723,0.9935515578223771,1.0431206668344837,0.9732915130214413,1.2315080049131215,0.997268390470525,1.1399705544520402,1.2431178685720379,1.1192767398854027,1.1233797705127224,1.1713539666111694,1.1073637865193775,1.0259714277368277,0.9269592796826964,1.2407722932045475,1.7522409475394092,1.5309665209454821,1.4371433049868085,1.383997022368119,1.3595751523124728,1.2920361072556588,1.20376385680293,1.2465997502377513,1.248001390159117,1.2441730005459917,1.2841407327214573,1.3116501655866135,1.396070106028067,1.446366585427492,1.3319810428654268,1.3720578913973274,1.470531528790397,1.4617630362621594,1.3072594236539417,1.4452278458794177,1.6311440043476786,1.4666308768310239,1.4532756730152825,1.6156511548135128,1.674785940713671,1.493245499081634,1.551638089599831,1.4691412920158906,1.7927995577929625,1.4884306944433956,1.473282613337973,1.5997070715994732,1.695416631353694,2.241429743955597,2.02063699667376,2.0132372650430197,1.5890879266404347,1.6053039784189176,1.6867849802019976,1.6143597797452658,1.593956077436314,1.4967346823594068,1.630079249642807,1.5324015065601198,1.6106812534607446,1.4814634251144567,1.4592025871753918,1.5617940944226503,1.4055559558555417,1.4018218725645997,1.3492127471857474,1.4011955788276265,1.4702189439913587,1.5679894376807906,1.6468903889091757,1.8985080691963312,1.6846905443904272,1.641345892371838,1.7841149459074517,1.8653962302654614,1.7140414130464796,1.6645900412771901,1.8354499440247687,1.886950923581214,1.702841442319207,1.8488203444639466,2.0063855692235566,1.9435943641668485,1.8331194110545206,1.9186824159120783,1.7985923650836073,1.7856723980915294,1.7131857982775702,1.696074799847556,1.697757237091164,1.5749786912419366,1.5720224695821112,1.5417411303956579,1.4982925088226529,1.4242314102911007,1.4987719708611957,1.5015055616056712,1.4358034287154657,1.4397786160988861,1.4835732747779664,1.638561431652486,1.5713846808630136,1.483972465081249,1.5887216665911301,1.5857605592068635,1.7328122519652682,1.44107018200889,1.3551282107734193,1.3044063123275769,1.3993741611805217,1.4081530133401623,1.4507986831380235,1.4114118392186747,1.3648090103775259,1.20899038311309,1.2217378864659143,1.1379592286850981,1.25516127035195,1.308119572280668,1.441698331406145,1.65975876138305,1.2899551732524983,1.3814709850395925,1.4942362692328988,1.4685282261651713,1.2656036082901874,1.414691516172736,1.8208370716149174,2.359566242029156,3.6250076463747205,5.007895644623552],[1.203559358567474,1.1903236984807288,1.2348602837528533,0.9446500699509579,1.04209091160934,1.005286233560414,0.9253670362812125,1.0166913296545939,0.8716518805534422,0.7659488573850627,0.7760202584123972,0.917975823260674,0.8134993990340573,0.7162087249181772,0.7868492817911937,0.8154054448144947,0.7731666535335954,0.7425035521244728,0.7117880945736643,0.7416080816136931,0.7223706547950778,0.8009166294050061,0.8607188649716814,0.8701378131748934,1.120823612077357,0.7957911522684996,0.7125745408279477,0.7329702722308913,0.7817574759816248,0.841030720664604,0.819183693471544,0.9176024399782499,0.9915270237755631,0.9207434131456067,0.9065334526781977,0.8089598528104104,0.9085420157495763,0.8188735370178166,0.8035583834056003,0.873726743066561,0.7833228043156156,0.7488063664580035,0.7519575825066468,0.9689204133871099,1.1786992987554208,1.4822474413841042,1.7829161523025194,1.125239841630304,1.175840293541532,1.3573276030510657,1.4424404978636405,2.214809464161454,1.9297656543227837,1.0650303929727538,1.524100081803386,1.3385751715069567,0.9252543806404023,1.0079736298538484,1.3757635132873285,1.0054737754018541,0.9750541937333208,0.9937206984229958,0.8527993527190078,0.9035282167040976,0.7561950492163008,0.7934059494571261,0.8596361942337006,0.7541613569031772,0.8945261338854416,0.8242817571507457,0.9650604784618098,1.134392831554688,0.9241424528102984,0.9313761127903037,0.8498713258385313,1.345215199472967,0.7874152533621324,0.8396814363322628,0.832497367965974,0.8743898822348833,0.9147786635001545,2.093766110949059,2.1958440889190336,1.0214804598221987,0.9963355015373978,1.0103319573633358,0.8512584310407441,0.9594057201530972,0.8076518770866339,0.922703469021335,0.8510765944576864,0.9159647061182211,0.8620345988570115,0.8888072093495479,0.8705529808637645,0.8887004824932495,0.9211181755024518,0.9212957943591271,0.9516446942606591,1.1932291269906543,1.0587000670711308,1.1714748340604464,1.0834081668657956,1.2427305139058127,1.2834387406799455,1.279695706005358,1.5304770020107332,1.3649860218593297,1.3552169725027559,1.4281811100220743,1.2408723120708263,1.0591344544770287,0.9568644735962678,0.8913644617872198,0.7712967140082927,0.7159700897416816,0.733785170001562,0.6168086263215166,0.6736449484546632,0.7323648637469636,0.6701516242689893,0.6734488723071654,0.6198487621927872,0.6765948920292156,0.7692398967082478,0.8461771492906168,1.0717434034223943,1.044563726745996,1.1544409795961437,1.1875877509599957,1.1877515539218113,1.2744902352743306,1.175190654214827,1.196769833427285,1.1014325521009576,1.112903741758304,1.2187287141022185,1.0071336864992677,0.7761606430644454,0.7673237787228315,0.74530244821158,0.7820997436808554,0.6977797447681542,0.7140971429014503,0.7726176474236317,0.82154196296358,0.8122379159622802,0.8824957264820837,0.9608227863920094,0.9787308295049032,1.0773867788500802,1.079792481374191,1.379655284575416,1.639293616593366,1.3371463918231032,1.1696094193319782,1.0290149446424328,1.151604653904808,0.9900125817387674,1.1415226811233634,0.9500760354890985,0.902240348843426,0.8306295519375723,0.8594230728718798,0.912819254914061,0.8977535607504847,1.0214046112913209,1.3938280482466372,1.3163522357962292,1.250429500939241,1.022929704819461,0.9648803552346333,0.9708540987055359,1.0234762180346537,0.9909670015490433,1.0619717257638634,0.999593091557249,1.2355476585542702,1.0116525742486542,1.148796733410693,1.2188977233539813,1.1323407544195012,1.1380784766764187,1.195197783343349,1.119414517390647,1.026975747211532,0.9139820649296413,1.2276970278421089,1.7660388988508289,1.5341340282457638,1.4510500242561877,1.3565768199266264,1.3326832307030423,1.2812150147926797,1.207755475460905,1.2748276477007006,1.2631150864890117,1.2887652279194692,1.341544923812274,1.3796126702073368,1.5066528647176578,1.5505470957808398,1.413370150679469,1.454548367976738,1.5971622147524256,1.5676746338977745,1.3726582059278745,1.5704878643571707,1.7823808924847786,1.5784545793907832,1.5695135242149365,1.7924752531322106,1.8486189937430417,1.601768215059865,1.708823835262367,1.5687093445867728,1.9909012458545354,1.6148694036960543,1.6178806065621956,1.795419462991923,1.9080886080369932,2.3612805619556547,2.2008388135801162,2.144207550100707,1.7719276211059556,1.7834066197630365,1.8404889118678474,1.762480745124349,1.7603062331986983,1.641370303210003,1.7493451707645415,1.6866467955305486,1.7596576715734096,1.62148180472563,1.5475001141121034,1.666148988075525,1.4868794587941627,1.4845516003040717,1.448791996644609,1.4993141005921116,1.579237656693915,1.690208455807983,1.7625772322680902,2.028564636575249,1.7719516158455597,1.7373439481821806,1.9159867305577354,1.9765643667884516,1.815847531629624,1.7954086376439522,1.9849706344616005,2.0355807958575087,1.8564362472833702,2.018776144478885,2.1752969306453807,2.1156150948762398,2.030432721774522,2.118486586762223,1.9818214857668541,1.9592765494296949,1.871712926218334,1.868098113476641,1.8826166346749078,1.7361791176140755,1.7178894141219878,1.7192944161200894,1.6656157846799278,1.5541706390340968,1.6421345069339046,1.6453347667940692,1.5406743504707239,1.5244541892379213,1.5921808758563494,1.7190162589752718,1.6373653284669596,1.5305976693667198,1.6665897960052987,1.6283987005942735,1.7568096989846036,1.4700072345661954,1.4216580855015801,1.3342160745014409,1.3683992499095725,1.3830227894027323,1.4357091122564187,1.388112175624682,1.4090768260019433,1.2297948907086043,1.26851209423839,1.160767201277629,1.296735304946883,1.3900392012307379,1.5351743087622225,1.7008310228054502,1.3570044561246102,1.47020638482057,1.582906698998541,1.5116317488082465,1.3112909960773702,1.5346246335355387,1.9800769378051155,2.527553228957169,3.938820663049526,5.4632825548206],[1.1771511168685165,1.0732385336172416,1.0729589093920329,0.9182930293634971,0.9676111586741784,1.1287438475692009,1.0494573048007019,1.1378151397940681,1.141498293831111,1.0482504664136207,1.1044297793089533,1.1975145679880952,1.079672895970138,1.0386970415497043,1.0900741182276876,1.0883982677316493,1.054937950921351,1.0436498195829538,1.0016245406550763,0.9948418320737612,0.9763037126584313,1.014195086431837,1.0592247654425446,1.0602519962357289,1.2164613286483752,0.9776768711957775,0.8817188244067119,0.9259597238124743,1.0194566741978919,1.0575696879496836,1.1136779027475052,1.1616275958203397,1.2024989996557112,1.1595734839613137,1.1218116538482965,1.0448375517856467,1.0791471222603561,1.000440338862772,0.938441932859569,0.9360584083651695,0.8571319250149532,0.9026046925607348,0.8946890712139535,1.074904445636231,1.2025758904683936,1.4956568713804155,1.780764760609281,1.182039360146192,1.1574150725688448,1.3090662326561395,1.386561919360385,2.1875457305350885,1.903182864450649,1.040913420009179,1.4427019767357419,1.2582626436494164,1.04471518425122,1.0208728599223889,1.2955503579114889,1.1071635803028888,1.147285012219927,1.1777384731553653,1.1056724609627977,1.1462402256581348,1.0144485503808016,1.023940191887206,1.1451424779197363,1.0901156882354122,1.1810269859840055,1.1754494354765304,1.2443412370978573,1.44425744382945,1.2713465979104732,1.284221561373583,1.1336511402550113,1.38993343063569,1.0840365303925639,1.1078010375046121,1.0591533799677368,1.0495840035328852,1.0479097070659302,2.0240362588316536,2.0963979691004018,1.0154839693109952,1.0216590214245713,1.0932125667113728,1.0018488908495728,1.0971590577702748,1.0248137102038744,1.13019745279468,1.125840811342294,1.2183621928486872,1.211151705269288,1.1851936994934835,1.1674224308677468,1.1945759734066357,1.2164355295135125,1.2018144842451222,1.231721609770001,1.403440718827583,1.2588650530344172,1.2633151444811954,1.1738192479011902,1.2361312867488583,1.165488354989069,1.166931255688367,1.29786118598008,1.098693900004976,1.0952993605600498,1.2630544571817826,1.1142885130829125,1.0209477253413486,1.028614493985023,0.9907123443506515,0.9819391561092571,0.8999174194882008,0.9211770198540898,0.8243911014443266,0.9601195324580473,0.9841842912443665,0.974975443467894,0.965504524803133,0.8470107922430391,0.8863220155530986,0.9554383111983427,0.8976470711455817,1.0415658711659719,0.9635959719160323,1.0184947368126005,1.0507546737261515,0.9799783453490778,1.0473386474853925,0.9625117173797109,1.0298844808078624,0.9421703246167983,0.9966730359984856,1.018534225545946,0.9052194418343451,0.799243239405767,0.7849771999724448,0.8073559789703105,0.8735253292464957,0.8252851632508821,0.8090733784166778,0.8650607438860365,0.950774344062142,0.9333092409641873,1.0302494580329244,1.0475252505172512,1.08107404566484,1.1437734934299864,1.2151282654746451,1.3700685150893575,1.7495637970384939,1.5013220335600437,1.3145387990340858,1.2161715457638078,1.2254705788490374,1.121048916603536,1.176989917601895,0.9789565100849531,0.9948235968634261,0.8562503875195776,0.8907405441771293,0.8039131165440032,0.8218040937388876,0.8671546560345939,1.2459494057425646,1.1488911823277819,1.1046427888027184,0.8817179200075143,0.8579955727634077,0.8854938060380548,0.9707877688633562,0.994758198367521,1.050730272713068,1.0996700439801914,1.1830765967469767,1.0232311672005558,1.107963971783447,1.1477939339389354,1.0332298724358981,0.9906743477874039,1.0044489559468652,0.9602131974405405,0.9338243074370356,0.9071721237645902,1.1491476699800796,1.760813197459323,1.5035968286562755,1.3782322682371586,1.2621553291400571,1.1557914062452728,1.0847584287654806,0.9632456255750841,1.0246639099220651,1.0095948885964774,0.9518612506766089,0.9812914828220791,1.0757850448939,1.079899682919609,1.1721035341180799,1.0995732184811615,1.0525022584597652,1.1535394487182657,1.1930680082843301,1.037993196566535,1.1237297035597815,1.3381947340710205,1.224582002986356,1.1587998819790857,1.3271209028036857,1.4866347511244646,1.2886746792022072,1.2770693822228378,1.1314133098867178,1.4868175401217876,1.1590645854128219,1.1407367590035173,1.2436152956498383,1.336899204572812,1.9369494612474283,1.670106820028013,1.6640088706690228,1.1842528138776325,1.19877855464785,1.3319561877656085,1.2355651715769211,1.2132759105884614,1.1432470420933447,1.3371993151234831,1.2111383183520616,1.3438155752151124,1.2063138813817917,1.115724144441581,1.281119586477097,1.0738110552708457,1.1573505221079303,1.0326581128143788,1.0995740368946012,1.1402158174026886,1.2434676755506127,1.3318230843214314,1.5573467614896461,1.3851855567567248,1.3158942251430021,1.4338408075790807,1.5363492871483762,1.4668368890312249,1.3777553768309803,1.5664010808020772,1.6469932010086101,1.4597518228734598,1.5682101866510476,1.7565738304340863,1.7368712663781873,1.5811646016001264,1.6464882846987814,1.4876391311160027,1.4621957338717577,1.3815015676437634,1.3197019183662677,1.3254605035941003,1.226752704325929,1.1965679057076766,1.1666823814628844,1.1321144712123934,1.0441487501301696,1.1011667187205794,1.177292489203902,1.0557172007682347,1.0501773590296877,1.0986454290757168,1.294494965718505,1.215128953038017,1.1570987099664842,1.3455587398063773,1.3595003490756203,1.4371973928105581,1.1453213345226088,1.0174695295216443,1.030530427491443,1.1214652681158543,1.1279726700292216,1.1875503056213361,1.1226156642454115,1.0575943212258188,0.9728578447980073,0.9905691287138213,0.9816088049838133,1.102203249833458,1.1827492004631004,1.2613922909735684,1.479144449779072,1.2237771602947802,1.2162581037164524,1.375818227404899,1.3881270586655432,1.1872056935731115,1.3359489388494814,1.6556821579772232,2.080137648096177,3.359008375184761,4.622898926851677],[1.0542436831786672,1.0112323275396993,1.0661311215281826,0.8273683354337403,0.8947215683507427,0.9447729518174655,0.8499346514812739,0.8710884865666234,0.8059244033964544,0.7292027069310824,0.7325521359609146,0.8405223819889965,0.7407115426132044,0.6987820832486458,0.7298241513782666,0.7263419788812404,0.7333520403274578,0.7036001905116662,0.729201252026002,0.733484777652599,0.7490200793936217,0.8301225637687717,0.9092711688891798,0.9427601444545357,1.1288149883349126,0.8157164626467786,0.7034335909216071,0.6917297059533012,0.7323376698797116,0.7649571915962815,0.7522768411270435,0.8102486497363106,0.8653957624007936,0.8219623651152587,0.8111868059397779,0.7441017866103439,0.8196051092438423,0.7726177438867051,0.7623091489764013,0.7775320912870166,0.7559519148119721,0.7418882616470622,0.7365592553821241,0.9928088130088705,1.1981710113823927,1.5003665757554037,1.8615136303209192,1.159235148519098,1.1814795396822448,1.4092746991318508,1.498128464682144,2.087028785536372,1.9301935718842949,0.9913837846474887,1.5744209773131534,1.2665804266927563,0.9711898857247253,0.9748442339245937,1.273255121567079,1.0168954842375837,0.9696201730688749,0.9528667799162079,0.8173157431281237,0.8931783291781341,0.7797944947187604,0.7723046031168835,0.8822064448348468,0.7571432345158227,0.8883360387335407,0.8311839959407707,0.989449556484887,1.164996068884786,0.9466820556648408,0.9552372445067744,0.8274536007551684,1.1580326623585029,0.7686303320966489,0.7857608288488935,0.761454745828418,0.8028655928390885,0.8302736372424019,2.186461751009119,2.182397058405348,0.8855256326468637,0.8756236461535805,0.8693380554470002,0.7757563906842408,0.8626152900522082,0.7395472084815775,0.795863871110407,0.7931944383869339,0.9182046005400311,0.8358914048372631,0.7843561392368329,0.7760690950271273,0.8042203055002537,0.8432914114332978,0.8096280565062366,0.830588196330293,1.0397959390597964,0.9147298386879582,0.9989527599632766,0.926622589378944,1.0284052235406258,1.0346112507859684,1.0569235578973901,1.2614041617507212,1.1162698407994713,1.1050016976294277,1.2217034840557648,1.019275626787381,0.8930418847190996,0.8403370374666728,0.8137862713164354,0.7272661544372432,0.6988768619160549,0.716979459181257,0.646376943431211,0.7465177158567924,0.7100052535583593,0.7065601327219195,0.6927072611825184,0.6403054986291548,0.6670530140737277,0.7278099852814177,0.7699726834751748,0.9539094205637537,0.9192435670295435,1.0246037620617425,1.0282043208519105,1.0239883970566726,1.0978833550994762,1.00493108288474,1.0279419262330527,0.9373738125180789,1.0197547985747795,1.051932603902243,0.9421454671310745,0.7671748836619686,0.7403654208488102,0.7895988149802574,0.843685594321424,0.6962943494229333,0.7055863254457352,0.7426307073228032,0.7635174608976828,0.7627633659065299,0.8127997196245567,0.8434456338052315,0.8385198409838668,0.9509346531011943,0.9266549745691093,1.1616630350335728,1.4968980768863782,1.1976351528369744,1.012462695900699,0.8847262119010854,0.9748725613572957,0.8419419863762639,0.9655761680675822,0.8299753010812748,0.8067149968475057,0.7645129494401601,0.7849364255057335,0.8850407691651473,0.836869523537468,0.9866544875856442,1.3929456889117613,1.2839993235272422,1.2185760401785712,0.9166225170880091,0.8577914918432529,0.8900294907195982,0.9047218330942721,0.8527062148918942,0.9044130341713112,0.8697701097656224,1.0455506554022507,0.8666957841334622,0.9559439279902763,1.1201078616654097,0.9551617345665243,0.9610067339317174,1.0062812605955125,0.9539961626790691,0.9221480174920471,0.8838476187132519,1.253661616833671,1.806642787915856,1.6616539370130374,1.4471907918275104,1.2221005724907668,1.2602466638459282,1.1599465851415485,1.0512991235964493,1.1468312646051073,1.106150326602372,1.0801812912012072,1.1109665436843392,1.1572303478440613,1.1565726509388887,1.17596818771669,1.1219014063715271,1.1391424271577277,1.2193108446766154,1.2214392320205156,1.1271534115532442,1.224751454094296,1.3805662919228674,1.2888677927162075,1.2712965948711008,1.438847365655329,1.5353647663735217,1.4354800353914159,1.4502489598556132,1.2974096397289676,1.7001268830314196,1.3109036858932595,1.2882433598312353,1.3836383221078026,1.499259308503573,1.9612659822864567,1.758030280436222,1.6927989613475034,1.3332027260770456,1.3096280615285727,1.3810271685621942,1.2921371089614573,1.371922837685809,1.2326330689212692,1.3407363355280915,1.3669939533015665,1.497333426369084,1.3058226714983887,1.2071550133966147,1.449786196423646,1.2495536112267762,1.2957895313648742,1.1579198663414234,1.1811767480964699,1.2040688565220452,1.2651787953234443,1.2982623567362774,1.4934944745865195,1.3104002743384457,1.2844206071817406,1.395178798093208,1.4454432505191788,1.3451331201628516,1.3505881874552998,1.50353774814562,1.5692366576695622,1.4202757942481352,1.5429131406025327,1.7109328177635093,1.693018312476823,1.59664349011907,1.6620521183547712,1.5261474285372074,1.4852943792754416,1.4027886281130617,1.3829229636547002,1.4128079965128568,1.3178687774514082,1.2740605887238334,1.297944921802268,1.2731887778359352,1.1802009703808913,1.2597967938780938,1.355466144289225,1.238620159846403,1.2421165536717005,1.3012974569267524,1.4616918537997843,1.376130954468058,1.3229825883756776,1.4840714739639203,1.4714091847810822,1.591014267418063,1.2516247518922528,1.1674960115588857,1.1353591478369949,1.2222641541563042,1.2489007027501058,1.3078541641232917,1.2536352137758253,1.1971002049834663,1.056027900070372,1.059213549085566,0.9773312252745354,1.101354335091541,1.1274606470697621,1.2042878048290895,1.4099381728912523,1.1431474401173665,1.163741178808002,1.2604976813724198,1.316436779547444,1.114232285708237,1.242715414243995,1.6355213138952756,2.04668826619338,3.403757670985478,4.896447217687584],[0.8934392956390306,0.8745994983453556,0.9842298711698866,0.7581354206952324,0.8425709472947565,0.8208002738286498,0.7338913571230978,0.7476368875448893,0.6769173712396634,0.6124137605646037,0.6065798696394735,0.712909138648519,0.626674151041353,0.5804243182321424,0.6080220243436258,0.6036510458254083,0.6312823240891539,0.601653771822758,0.6379481660674267,0.6446363013397197,0.67613999974154,0.7733707913087662,0.8781626740924163,0.9187826982854889,1.094891690628767,0.7551258468334558,0.6304859430321229,0.6116130077443329,0.6346072814587367,0.6529943405309072,0.6272262814319802,0.6923522225724306,0.7329480206000654,0.6909768501866912,0.6887396214848692,0.6347286892933396,0.7118270459572265,0.6875221090666706,0.6884195724204032,0.7166805185946825,0.7154641632893685,0.6818115865506844,0.685986549408643,0.9699353288242852,1.188965550910779,1.4853132244032996,1.8696735706821872,1.1565149327725384,1.1750768969908485,1.4174380190848201,1.5113350060766684,2.0268896732973776,1.9311601480001692,0.9700359094042041,1.6139397169199399,1.2491287481020659,0.9409185668618761,0.960146186996412,1.2362438336094008,0.9979485441574828,0.9236303363552889,0.8752582531382033,0.70275293621359,0.7963700584191766,0.7050853494302399,0.6728480179435745,0.7942728534951615,0.6561111645397124,0.7984643553072142,0.7437860545654766,0.9026111932065212,1.0841306601612895,0.8581540754767765,0.8789255923854254,0.7372806018957903,1.135804471616807,0.6563840633682775,0.6681184535872555,0.6461755549640386,0.7037726394100985,0.7311115102231146,2.1936615402384128,2.146625755101401,0.8515263992348671,0.8201070958410166,0.7876774036425694,0.6879300735850926,0.7580677960846445,0.6278750174494562,0.6836298579826011,0.6727454191317059,0.8272145550140065,0.7235173520441178,0.6587682654562004,0.6508385176875053,0.6949751055670207,0.7310053304289418,0.6797916171780206,0.6913929568380578,0.900476792253396,0.7906846159874006,0.8709506822448881,0.8005040131875171,0.8990108529651611,0.9231192418467842,0.951067558116852,1.167579155004793,1.040141172422602,1.0241348358492877,1.1404500676316853,0.9381269388590482,0.8203315751941617,0.7399215004343368,0.7366881215479696,0.6296998266002151,0.6149411501171292,0.6321985630296727,0.5832399784423323,0.6812503663205637,0.6238897491449166,0.6341695088458017,0.6029500771347024,0.5778100691189669,0.5856859642264642,0.6396569479663243,0.7131228062948836,0.8822518944538466,0.8557006028362244,0.9576489904328812,0.9611292986032155,0.9773031374630167,1.0397521255507662,0.9740818933648073,0.9709349176132297,0.9009652892772683,0.9895029001972205,1.0326132387859879,0.9012041517045859,0.7250340543729705,0.7009349183455278,0.7599068750374728,0.8250930184075855,0.6478275938511737,0.6565276637666773,0.690232337355474,0.6870769082758741,0.6847463415432167,0.722364197645495,0.7434512298436208,0.7229078551390251,0.839453513961017,0.7802578136908073,1.0213666971998265,1.3697495256333114,1.0734770848973116,0.8539812996332238,0.7496421239306692,0.8344411548262958,0.7192518913486063,0.8582349763499598,0.7559913471741283,0.7318111874732194,0.7184713930713394,0.7352897280285121,0.8520746859003395,0.8128506050617961,0.9961253151222488,1.4130969646919884,1.298797235868368,1.2135946918058966,0.9138312075955604,0.827415073950434,0.8428604720276764,0.8445514505389351,0.771931523969978,0.8065077783825396,0.7605100552100496,0.9215517053815871,0.7824534158141757,0.8583521793578736,1.072310937559262,0.8694115584684052,0.8869322548400171,0.9466902847582532,0.9058361008219075,0.8887773495522518,0.8669599991259099,1.2670392879739545,1.8154369383525646,1.6955306573757678,1.4731248691937557,1.2111219008033218,1.2728538041894464,1.1489692058765721,1.028894466845105,1.1284741686663136,1.0707451518093773,1.0344482779048045,1.0523938877290901,1.0904773130271443,1.0554232511911397,1.0594244603813647,1.0309025218327563,1.0524074247360526,1.1012410315208658,1.1043567013563067,1.0595769068895045,1.1102758397476715,1.2290799023322918,1.1850510797218436,1.1719094159045618,1.3113418184850292,1.4262123916313918,1.3879040875195752,1.3659392481406614,1.1789601228617639,1.5807788593283376,1.1651740389036203,1.158244193807433,1.2471293214330423,1.3430318128167553,1.7931944736477634,1.6283335640696506,1.584251328421355,1.183112856954408,1.1436413684950117,1.2214407185789022,1.1360461887598385,1.2348115362164767,1.0998747517324141,1.2301308931320745,1.2417721515187943,1.3733396834560736,1.2076626511283826,1.1500769229783994,1.4166766747348218,1.1954203983267029,1.2628235439689532,1.0869680771233659,1.0977388261093883,1.1020093909635191,1.13973556715712,1.1555766964802172,1.3400416319890651,1.16250592468359,1.1331234914863093,1.2275466077689297,1.2567946365616058,1.1944267091612544,1.1937793715001452,1.3364695415534071,1.405574272661339,1.2747863018588503,1.366561473462754,1.5396688456103342,1.5536326810015724,1.4377198217981855,1.4840768514547884,1.3507807803207983,1.3063833294864313,1.2355568656414628,1.2035035631757367,1.2346234475909548,1.170277857285183,1.1274245328268833,1.141539845327068,1.1297903509591103,1.0664975950973319,1.13998946765992,1.24224877286726,1.1369178767135464,1.1714176816047526,1.1987245147635979,1.3909165680056286,1.2795351690694146,1.2420859717789878,1.3941490681462967,1.3920029242229532,1.4478706782104607,1.1749008767774596,1.0899460133564778,1.070749326462632,1.1895390186480512,1.2373756227683212,1.3038785217352957,1.247667348990527,1.1682099647943864,1.0099727570600698,1.0065750697949534,0.923608031060507,1.033229106508565,1.0264114053082876,1.0858834082015316,1.3193522118976238,1.0670252984654263,1.0567216855439177,1.160701532869218,1.2502000639015753,1.0221716600270303,1.1434969981703595,1.5466758698019163,1.8914089186492664,3.144078042117047,4.580154485357976],[0.6880391853496427,0.644662432562643,0.8038000702359562,0.5713675979251607,0.6756323381931092,0.605902066180421,0.5147537509907398,0.5614793973780047,0.5135220206700586,0.4391397501339543,0.4612648571988982,0.5605397657353697,0.46586352139292286,0.42670643330801633,0.4589215193192146,0.4512049555168704,0.46288226498644386,0.4453144105373792,0.509480434255522,0.4893031817416769,0.5402801752069102,0.6624925255147918,0.8166106823227618,0.847047107609221,1.0635223927849309,0.6671560864022136,0.47927419515271813,0.437102235544245,0.4557397997243676,0.4590573498009443,0.48580920125039645,0.5203804390584924,0.5558815783057562,0.5083272135477462,0.49959633883008747,0.4615324534257405,0.53196795932843,0.5116151825820708,0.50071732579331,0.5664446376209377,0.5893009237223571,0.5318659204150176,0.5533859059366681,0.9174522371532522,1.1605315698576666,1.4461133846046461,1.8517857691847155,1.1383946007532852,1.1500837187697392,1.4228517443785318,1.513421406320614,1.921115461740312,1.922217574042322,0.9127264589172867,1.6293108248045844,1.2090511328982692,0.8702691949322546,0.9223558701136111,1.1757713254081048,0.9268824682036702,0.8217613653726821,0.749606658489041,0.5359821003599566,0.6737606923300249,0.588439946548896,0.5282034446575099,0.6999638467668593,0.5200822109745638,0.7311799187985831,0.6611100595783024,0.8296600475893561,1.0346547089743705,0.7775852391254476,0.8252111316337915,0.6230762103089703,1.1220537860981739,0.4901789704488211,0.48547134860020613,0.4688034419960012,0.5358718804300824,0.5450837084687632,2.1515603030689068,2.050413982782612,0.7487714788403667,0.6654146867719142,0.6366106259757488,0.519055405963752,0.58872247486199,0.44559510918308537,0.5003182163235971,0.5239420414468505,0.7362035944440606,0.6022473473025304,0.520851094784251,0.5114619283181108,0.5780221311529454,0.6144861262683686,0.5304400837923452,0.541632739027824,0.781975295985534,0.6071845512486383,0.7045192531253539,0.6074840022076853,0.7065548037985798,0.756429342998443,0.7767019753999718,1.0032445457513075,0.9041713661043089,0.885772393439494,0.9814076335308859,0.781733122504511,0.6472154272217029,0.5330568629271099,0.534619260535097,0.44173831958727744,0.43551581788053967,0.4695760765986921,0.43996003928592253,0.5650654654936352,0.4758569067318438,0.5071408990275884,0.4566490960164329,0.44904666649473124,0.4057298848963899,0.44943915360930187,0.5436785611275071,0.7252794933775818,0.6729438990088596,0.7836744347049107,0.7943366307666736,0.8260996402531268,0.883266125552886,0.8465227126542246,0.8185709723346488,0.7628724881427504,0.8624683289712457,0.9549726561132279,0.7811114823093886,0.5626428983019939,0.5534291750700245,0.6712290232434582,0.776730921622612,0.5263719216317299,0.504218911456249,0.5319103332149313,0.5044101558781751,0.4978474518357631,0.5202336063388308,0.5404430143995193,0.527163901167164,0.6434340286466019,0.6014061752426952,0.8685970147614741,1.2714967485831699,0.9748665828483551,0.678968908842122,0.5616004946042394,0.6345821541072889,0.5247458139419132,0.6516092058805343,0.5704475591032001,0.5513398363789395,0.5653522496335828,0.5788800575648623,0.7502388532389146,0.7193860093403132,0.9690359444510308,1.4468781276323432,1.3141417082619824,1.1763343432402922,0.836053349708409,0.7041606375821235,0.6967571688113305,0.6743089352144129,0.5847157259854661,0.614143349257571,0.5798439607985088,0.7335970405155592,0.6029924720242797,0.6772714808640147,0.9608654907161146,0.6937196029395826,0.731355257464241,0.826850949060684,0.7670072929968248,0.7654263356240603,0.7888358894387066,1.2499292332154917,1.81381251947168,1.7096266064032297,1.4907516502760547,1.1473962759182124,1.2764185924570526,1.1086113365600914,0.9529833629027157,1.0499407929992932,0.9536041188563339,0.8990381020368537,0.9206061219497055,0.9470530326695127,0.9248600255694697,0.9116327687368271,0.8852297747380461,0.9238442868223463,0.9659204631602596,0.9478765033754126,0.9256868301192861,0.9954255015296821,1.0992707209733696,1.0546852508039377,1.067735399820488,1.2251429725064298,1.3166401652975652,1.3233524739278624,1.3355954506358358,1.0859515291453188,1.5334619990999274,1.0910883474691133,1.077246789460412,1.171192509602091,1.2509357496765778,1.6912958303817425,1.527248474155176,1.4920775818380316,1.1121443025014037,1.0528661564240909,1.1031926268521286,1.0365246935204677,1.1707217944602883,0.9896546037246541,1.1133169573811303,1.169161764049366,1.278938196028707,1.0862201712301771,1.0644540374409135,1.3906244298245296,1.1437589514999362,1.194331767891884,0.9746225990446294,0.9688988100841069,0.9728782975798478,0.9959004274352466,1.000627478007079,1.1758260119388018,1.0103523806268837,0.9897109289625545,1.0795313900248922,1.0836771505492933,1.0380845885441874,1.0491049693317323,1.1993822745459919,1.272556199139984,1.1397664259626847,1.2425014757339539,1.4198693625218968,1.4639194598998126,1.330218917800476,1.374153631684691,1.2485819305762182,1.1920143359408162,1.1025657424871684,1.0806048804917048,1.13731492940429,1.055088458685907,1.0096600012269377,1.0539207882246049,1.0500013941282973,0.9705361942528442,1.0628867960082777,1.2035889320430724,1.0748623369482335,1.123647258648441,1.185973454310416,1.3708352270407493,1.2528532498765275,1.1982738769682955,1.3772624774280784,1.3841430163607056,1.3905900561262687,1.0977110030924826,0.9638422563520145,0.9141428606792793,1.059047223830582,1.153911578384471,1.2696110597057884,1.2015282228125517,1.0840182487459995,0.8880788137013582,0.8739402973318032,0.7675844901561921,0.888443999389562,0.8688227296544223,0.9197397536984049,1.1912330029570186,0.9314865604667709,0.898656968586072,1.0095433331821975,1.1344960635154047,0.8602979175213273,1.0271454470460488,1.439235345539139,1.7679562602231298,2.9872410108650285,4.43582977381578],[0.6880962086152806,0.6318014850049111,0.7965316820665576,0.5400455214904897,0.6562555273280035,0.5617388987252604,0.46515335233976224,0.5061053801608586,0.4571037621304904,0.4012662750548741,0.41458299409366606,0.4980344148063466,0.41200899634251514,0.4098628707078949,0.4279008908573984,0.4250797627149532,0.47450869691851005,0.48083550699772265,0.5550907358655517,0.5033304096856909,0.5760941793319665,0.7032715878627588,0.8689371229829155,0.9120279419418428,1.1077345538632808,0.6998226502071474,0.49360800900564594,0.434245487733761,0.43812480970164086,0.4280497083292062,0.48114148895503894,0.44562247905792,0.486275989536821,0.43211756406213464,0.4351044056966936,0.4286841799226535,0.48656714386040184,0.4937868440731035,0.4822246574285632,0.5751859176886572,0.6067792394215398,0.5430504638515998,0.5758160337175905,0.9698351740578026,1.2133496078419626,1.4750398071548534,1.9030827369205285,1.2123624761210063,1.1943037576563333,1.4771687133105262,1.5933906389790908,1.8751568919210428,1.9425780005023972,0.9388174702109041,1.6764105525129092,1.2189495689004155,0.8639560494809557,0.9502750693104903,1.1778627180243206,0.9298073329447984,0.8360806694394574,0.7272967079728295,0.502069856225328,0.6770372091419712,0.6253800196303656,0.5365886067340776,0.7141724522708784,0.5383426697700854,0.7566395062921454,0.6857255105691971,0.8819233359571538,1.0881575928569596,0.7810200906986501,0.8583481636330916,0.6285268928965224,1.1199643045147905,0.48942151203979756,0.4600660727995344,0.45722389287899234,0.5191904930232496,0.5110513213951646,2.2187009705678093,2.0536389211639063,0.8407226061592306,0.636386355818631,0.5847514616379124,0.48034362177042084,0.5729145795300393,0.4405782432201327,0.4706166992046323,0.5009840418599547,0.7342317728154767,0.6050587813588291,0.48509660620861583,0.4803249286488183,0.5548876152096759,0.584506035797279,0.48839276884412597,0.48582577832607465,0.7205092958502569,0.5220060149301837,0.6590009524128326,0.5400417248868533,0.6318003818174713,0.7499456702402731,0.7588497608218255,0.9989456218332798,0.9453266784240877,0.9239585210466424,0.9712030221002371,0.796250965749581,0.6324718629078049,0.48038660588138754,0.4921953673344115,0.4301084023354908,0.43586802692480286,0.4873050547947825,0.48192228469779247,0.6300988081012615,0.5167630859658655,0.5627998173776968,0.4912071951805303,0.49856986408715676,0.4077564266681623,0.41262898586042757,0.5257768298538615,0.7638550577809264,0.659557546104274,0.8004610268756421,0.8067531389161716,0.8625794163328384,0.9100577569835785,0.8928983411770061,0.8387773733309489,0.7960049849782186,0.9016570747687579,0.9778261900784575,0.7824359068624761,0.5247191391130236,0.528756623800928,0.6362161647957547,0.8000408808357194,0.5226501169619988,0.49631590596208364,0.5234118750982751,0.4800790732031204,0.47278180780086215,0.48735037442005735,0.49462910094689577,0.4615983723250824,0.5695050161258643,0.5457730883199726,0.798102797388232,1.1749966177659945,0.907870872296763,0.6063427188615659,0.48941000199321444,0.5691415033862124,0.4732315486457702,0.5824318198728237,0.5515193494173526,0.5303914054461724,0.5605368170036807,0.5833603141689048,0.8090958552133857,0.7416544585754785,1.036688053608021,1.5176875424833218,1.3868081512257628,1.2032055046366137,0.8716003701863775,0.7220151381216992,0.7023601599901264,0.6710606698160905,0.5695785439914718,0.59518755118491,0.5528455450467389,0.6998718411751809,0.5890863006480217,0.6718101650561805,1.0146509107209367,0.7032966872873969,0.7692754506851541,0.8774321115579355,0.7839192922457463,0.7732052322497244,0.8200631514512623,1.3007495299721048,1.8464062055451973,1.7922984773732689,1.5513683997683132,1.1852292408164877,1.385104509511803,1.2037479659111365,1.0496295401619624,1.132945349556741,1.010413818236729,0.9642249113442912,0.9832486386598848,0.9877190396750397,1.0202315223359428,0.9696894591062887,0.9298426786569579,0.9980291944957883,1.0373376135255006,0.9781273918264783,0.9740288457691542,1.0803861196953959,1.1434257455003674,1.0851793870626645,1.140105485463723,1.2985270516489291,1.3351239347894244,1.3852807776876384,1.4417951733576049,1.177131260973108,1.6044728767038843,1.2004963082329438,1.1933052794021919,1.2705344223654766,1.3087923467681732,1.671508420337647,1.5306552147648977,1.5274922686881547,1.2796715729845494,1.2093455458410085,1.2216245813465614,1.1854672352309827,1.3217946219411032,1.1201758943848026,1.1844774976549068,1.310769417323747,1.3682533356591664,1.1734609044522442,1.2039291204462372,1.5242450033361443,1.2861425158064095,1.29323245438801,1.0724495710893551,1.0449584517131572,1.0586989686631254,1.061826595215484,1.045954590809177,1.1549986679617987,1.0365524110288469,1.0446054376631937,1.1006275871550628,1.0882779075401519,1.0536402991235636,1.0909452452547375,1.2251444372114209,1.281847742560273,1.1670118192869516,1.2770450578709183,1.4265623083879888,1.5003686623363193,1.3737524285912224,1.4215180502420353,1.3203589222299557,1.2584376123604455,1.153329151704421,1.1570040143048828,1.2321931736385296,1.1412759357453979,1.1040035445783039,1.1799087779065864,1.1767732127865007,1.0943401422774186,1.1935814118033028,1.3524736525758323,1.210612223921276,1.2730009539026421,1.3580698684731414,1.5122118098310473,1.3948420831310806,1.318884047715101,1.4868785053639468,1.4794170505767068,1.4534117241229692,1.1716161184241538,1.037781027799046,0.9637192066960594,1.0614520639431848,1.1885848374577932,1.3409671081978471,1.2827365183664603,1.1607896015179624,0.9398759340202725,0.9278133918484056,0.7774806253948804,0.8958020501055979,0.8809632878727642,0.9327572364181591,1.1458022835987443,0.9356926462193551,0.9041028396877259,0.9797510228395631,1.0678441022257397,0.8462541877358141,1.0779072325108745,1.4558444578205925,1.7109681810536872,2.923166710699738,4.427244976710931],[0.6673918888678846,0.5954681079533259,0.7114865220541334,0.4907172654161221,0.6019451539948217,0.5254888734182589,0.45935531186585027,0.48481195361248264,0.4615775630174966,0.40416959034630606,0.412568148113489,0.4919107496545965,0.3962564852673275,0.39791319375156153,0.4102696853442474,0.417783038831502,0.4564843846354088,0.4520228001378405,0.5169083622535697,0.47530684156924985,0.533374335906708,0.683770929845373,0.8216923562042122,0.8768249381076221,1.082188405526616,0.6537708720012245,0.4720743656506902,0.42060565216788076,0.41469736824992354,0.4251825171966803,0.4584549282326264,0.4320808547165749,0.47765340078950663,0.43201465319371457,0.43612816703369756,0.4201886259697034,0.48598970329968433,0.492023223095554,0.4834721641641768,0.5725578748525394,0.6048125842017215,0.5340778788248239,0.558973243410601,0.9528256794688186,1.1849243039233588,1.4483163224255424,1.8793285014562788,1.183133870524568,1.1758597218303783,1.4549724835441822,1.573429075241414,1.8610218538752272,1.927204789039907,0.9323490220102786,1.689874130309419,1.2382265733123519,0.8640540437092236,0.9574056622809832,1.1926519667878412,0.9433133401166302,0.8089717849079896,0.709573243391326,0.4536677395313343,0.6080589656794939,0.5932451860443594,0.496479308724856,0.6315958592367358,0.4837328309850239,0.6640667197589185,0.6164085268065447,0.7990082962711843,1.0167088741519905,0.7006853335317177,0.7622711118126606,0.5885509492014652,1.0757664308407102,0.45546847324425815,0.44631825906441647,0.45068535142286925,0.5087031704949817,0.5030586978011016,2.2785144570663483,2.0863739570439757,0.8846218792844618,0.6324705587397897,0.5658633883502912,0.4793209760284712,0.5755303435165953,0.42968557305529165,0.4824160461373105,0.4598879801083746,0.7121908532311975,0.5598354254184723,0.4530717766973552,0.4530377711715377,0.5267175206781469,0.5470790360308173,0.4903400751294556,0.4852922411642156,0.6696200946804443,0.512201704038823,0.6439784565062656,0.5104584653580193,0.5828814136211652,0.695420108885406,0.7038659648199517,0.9297342499198795,0.8735351020054747,0.844425826222559,0.9147433468962258,0.742388773423402,0.6006307412749742,0.46373670591956434,0.48807354724583285,0.43161369405049155,0.4199421915662995,0.47687168108437294,0.4665560162761066,0.5775487514424095,0.48189339521368485,0.5321301501065477,0.47392921593629245,0.49120839169404995,0.409354121620138,0.4060602651733735,0.5153966157183587,0.7570078109683837,0.6275246333049026,0.7522230288167803,0.7553291829855793,0.8104097616275715,0.8472222734894925,0.8464923262896925,0.78955115147134,0.7614656819052729,0.896582465333481,0.9475920956256736,0.7855723117496408,0.5453851948676282,0.5432736462787157,0.6490530339449142,0.7918080060356962,0.5316088530467148,0.4981307832580097,0.5227306962558192,0.47645337522081904,0.4695577187183363,0.48419340738886846,0.4834423415318323,0.44622092981571354,0.5531964283001356,0.5199763741561831,0.7460648154383411,1.1560366487990643,0.8673800175028019,0.5703172954327568,0.47109913476536425,0.537776490224743,0.4736861513922958,0.549481614222084,0.5471374713823692,0.5284872290707142,0.5619698800725035,0.5867876415616321,0.8078692400864507,0.7423011751243656,1.0112963007356794,1.4823274784674798,1.3533245186975984,1.1879962192625813,0.8435038589250239,0.7146798944256196,0.6955520735773254,0.6625356999016754,0.5593320209062262,0.5775864176238891,0.5380989466823473,0.6842611957881375,0.5786637797387374,0.637269760252696,1.0172240545522133,0.6685795558780623,0.7271096450800664,0.8367477002671174,0.756381691531952,0.7621308015678951,0.8253380788119039,1.2850417540007975,1.8373649079810506,1.7783656275272484,1.5286065767049801,1.1424964821879846,1.3429198079544464,1.1630900094302448,0.992136012390748,1.068560466285411,0.9483377741633092,0.8788097135390772,0.8957942464347264,0.9197534431769925,0.8884758170742176,0.8336954149399902,0.8249253875872112,0.868340647527355,0.8733775048390191,0.8443814371118796,0.8606502526288684,0.9119974051593088,0.9668597260742459,0.953273752305994,0.9868049706212029,1.1015911637971108,1.180365648594544,1.2684973769633896,1.313640216128343,1.0402136271198363,1.3927111587605314,0.9728572391985708,0.9731948903072482,1.03297743510781,1.0606938288683725,1.4894722798269449,1.2714644627697635,1.375155161818114,1.0798111903515009,1.010545421999298,1.0239463215014761,0.9832170728218885,1.1187219455563644,0.9466456938721339,1.0274601875669753,1.1625798403339271,1.2279222576034796,1.0329610970490604,1.0975177055373524,1.412383751284046,1.1610535928630887,1.2384760205879068,0.9536289711060848,0.9325578313545616,0.9302780781314766,0.9009453399445279,0.8902808907060531,0.9682604866711746,0.8878764737856534,0.8892657523779874,0.9072916395626784,0.8882209716551228,0.8820934865052166,0.9166714647197617,1.0210123128125825,1.0963265931786481,0.9860027329826936,1.0612403277621985,1.203800357408037,1.3127182142618163,1.1497796016058648,1.1730515490493347,1.0853756999303275,1.0200898400696234,0.950106229690377,0.943997168645369,0.9979552278197562,0.9393234957003981,0.9074465285178843,0.9673244163018269,0.9714807549481063,0.9266752548921603,1.0114564571701459,1.1654143132762311,1.0281164624239305,1.1235388349322113,1.1589433261528534,1.325958444439574,1.2087558710934072,1.1398757887469486,1.3122923340992068,1.3021557414378384,1.2167149383589855,0.9985674375180185,0.880114813625276,0.8514942352862835,0.9065804824049921,1.0782075199002288,1.2259782423924312,1.1983624306710905,1.0435389520605194,0.8729561108082601,0.8502685667226597,0.7229035060365577,0.8268917573000184,0.7982105456680396,0.8167299619422841,1.0871649071397187,0.8862365327741725,0.806745816171314,0.8644545627055469,0.9920639403577164,0.7378687086623471,0.9804974824030263,1.182792870339218,1.4786018506716945,2.5248323240430763,3.8551876333301633],[0.6545609387391926,0.5984339164965782,0.7226432297201976,0.5044686016424783,0.6408066049592366,0.5037200505972608,0.4135498586037456,0.442667066504123,0.41553499842581154,0.3503778982061308,0.3523386827753928,0.46333135694897937,0.362196726238031,0.3542816237555091,0.39182179378468657,0.3914531094055125,0.4190638427341961,0.42400329865052133,0.50066003289158,0.4713088308577047,0.5558095714811788,0.6878296321182881,0.851405428358554,0.9013280426806103,1.0894832400911552,0.6742208364833728,0.4497179089776885,0.4082888529338674,0.3932319586073238,0.38930185150581204,0.4438635434396917,0.3969141992833957,0.4470583583006396,0.39428894077299653,0.4000929879485411,0.4042685608942077,0.45558212582134655,0.4785707349441826,0.465797332150654,0.6072141383596591,0.5956001026583064,0.5052023190332298,0.5730653246162704,1.023207530951935,1.23269353092461,1.4871353510590908,1.96203701688683,1.286622943787078,1.2810682116504835,1.5699077190146167,1.703087074521193,1.9156323779042093,2.0634100674984315,1.0194279862172648,1.7198530177858513,1.2308075655379513,0.8688704329594602,1.028378735511674,1.1873863242060765,0.9903928688647583,0.8202194358824217,0.7096084222305394,0.4794919657801377,0.6653469844883941,0.6233519850991974,0.5072008879785772,0.6707139653210596,0.48002237244949875,0.6891159127132611,0.6464230221570288,0.8107182584252072,1.052156463403889,0.7284399425596904,0.8318504806355249,0.5885854460175736,1.0569977813779434,0.4594575993996987,0.4334639637115344,0.42765481106428527,0.5012387159999238,0.5112634851680942,2.2260105553133904,1.989001077762262,0.920696055972712,0.6389683454013849,0.5460753985946694,0.46611537837781475,0.5663224409819276,0.4068868043096362,0.46324712598089735,0.43733096650113906,0.7293238373909107,0.5878491748744351,0.4466785121977832,0.4400407965132556,0.5295861224240663,0.5536686962621414,0.45325654281006883,0.43384811265597745,0.6530042840336745,0.4790028426879684,0.5878760739889097,0.47397206796713354,0.57533835184984,0.7146821858904941,0.7093997389868917,0.9056956431430732,0.9110658583790431,0.8629677963860786,0.9094395467602726,0.7433015308025324,0.5949185136329227,0.44269157789706615,0.47462713276384133,0.38819287949131404,0.3900417545566278,0.4610459709060218,0.44827104270912765,0.5703518085992688,0.45101748506494704,0.4933015222742378,0.45389643492612375,0.4530623521044439,0.36398344888418077,0.37007434903814596,0.5136183730801632,0.765339184888802,0.6336086059914435,0.7542768366153355,0.7770490294322029,0.8336426565917792,0.849346273519985,0.8965534853694308,0.8069027274048226,0.8034664811672205,0.9254909167568554,1.0031340489527427,0.8138899383792297,0.49615952611425373,0.5449023181721601,0.6037088953720393,0.8054656816394419,0.501965992478305,0.46993187788948837,0.4968141567955546,0.44985103233304374,0.4442558760388537,0.45401432765804123,0.4617187768032909,0.4189258163702796,0.5377911827147098,0.48731885712680917,0.7157135113612363,1.1727732316918196,0.8864898971116498,0.53582089864888,0.4379591474370216,0.5107610830599224,0.4324185019299591,0.5407039140157911,0.5445140392785268,0.5048603571139295,0.5585117108069819,0.5931992860508956,0.8436334933872603,0.7591470899784383,1.121950961719214,1.6224481183391743,1.467436749577455,1.2391836370477936,0.9156852351079124,0.7566526954862027,0.7169918847069374,0.6699390210026906,0.5660835271132998,0.5850258444489317,0.5142445207944191,0.6213216502323771,0.5712713776679322,0.6514233110597919,1.0720471131059761,0.6906667151960404,0.7565731956437391,0.8898768919141967,0.7890354342653839,0.7976902471197037,0.8574224824316582,1.316823574505016,1.888515837879045,1.8090685768226493,1.6170165127008083,1.3267520061195306,1.464524612517706,1.2763234360255775,1.094274079158078,1.1643695239472827,1.006897411341868,0.9355887472559254,0.9452599538539994,0.9257556176268754,0.934656641595997,0.8670167300323294,0.8454351681805146,0.9115958518834247,0.924381141189611,0.8818715202721237,0.9080958825534032,0.9716018479350971,1.0048699810865067,0.988233317031701,1.0500853164039814,1.1532580504352066,1.1862944319486435,1.3028748193227335,1.3899549425072375,1.1708444422276385,1.443647984677828,1.0787007040537544,1.0420908647819263,1.1239009239263367,1.1651518823582545,1.5070863685295077,1.325958512716513,1.376547668996397,1.1547983137021456,1.0947345410759475,1.0758290728295752,1.056110826317033,1.203939160721324,1.041637203491131,1.0922688600640469,1.2455236032246868,1.257736701119128,1.1012743501908149,1.2096428550768727,1.4838337266344248,1.220251422940874,1.2880849755410915,1.0213985831781092,0.9678701209707398,0.9912082896211536,0.9546657154126102,0.9255675784659083,0.9821026631505576,0.9013949027386896,0.9157653633481886,0.9411123912544516,0.8955798508504436,0.8948646568384371,0.9367111698499708,1.0300956772750118,1.0993147352304486,0.9997385568679819,1.077388792971175,1.2015717531165555,1.3134109999239434,1.1678480289104063,1.1935856853710725,1.1343502932454652,1.0637870753416596,0.9961485792283438,1.010040234137207,1.067557583904236,1.0018599661225869,0.9763863277753215,1.0598088574292417,1.0615647607574334,1.0080772590087914,1.1174554813110054,1.2995496687321901,1.0973250567230008,1.2016937359045758,1.2704771627867453,1.369812937083924,1.260457439225991,1.1853987510059576,1.376318324288417,1.3075312240058024,1.2540265009256053,1.0518167962042972,0.9606321335256465,0.9359548528981004,0.9404191849566602,1.0556634082267722,1.1763507424013386,1.165683738588459,1.066248474494557,0.8960661592952591,0.8709856517000324,0.748057658041179,0.8253500472170905,0.803131377893058,0.8346452403904926,1.0809765046221602,0.8913236154261214,0.8194364153421498,0.8651482923373394,1.0084921040286623,0.7354228058976825,1.0160396099295261,1.1244372931418631,1.4717002573428948,2.4116318582829606,3.6892579059800408],[0.6260859901165942,0.5520866858040098,0.6185002871407478,0.45045959342526365,0.5821795364771105,0.5065852326390673,0.4450552637607071,0.44753076931982944,0.4529745461241911,0.4055122178707691,0.3853718795534362,0.49621902821728586,0.4255125207652459,0.3946783167376561,0.4283053163498595,0.4175309172014495,0.4603106033737739,0.44809936038703535,0.49945901262483205,0.5117490488035543,0.5927271332399724,0.6867852293156221,0.9113753225109363,0.9524530418933091,1.1644664474210853,0.7256790615123977,0.4886642935856942,0.4279523232630491,0.41538285071640907,0.4088763296398114,0.47420134331289704,0.41251844398371446,0.44448918804351045,0.4282579666711595,0.4384136325203681,0.46126742660374587,0.4905474365035287,0.4918061116943702,0.49122209010478557,0.6088228684484698,0.6076430699819869,0.5179977055911691,0.5817598090634426,0.9724675199582963,1.2135172954136222,1.4396433043381902,1.9465901380605386,1.2575755566912272,1.2145166862072745,1.5179872103792793,1.6463691511131622,1.7728760740392857,1.9732553413853002,1.0139663237269074,1.7614309709418359,1.2142316972731204,0.957646300987492,1.1055142544310763,1.1924570665265113,1.077735036686771,0.902736955271646,0.78572177993768,0.5354227640469861,0.6827602060570771,0.6638591187224961,0.5515665136766124,0.6924234982107478,0.5016617464470503,0.6825410895464142,0.6662924874470748,0.8101299358747757,1.0599586419879614,0.7203911773728153,0.8325792772160571,0.5912129480327225,1.0023782745700718,0.4998416972334751,0.47847666194516497,0.4980989554073761,0.5560380976798979,0.5771087516586624,2.165755940345402,1.8845944215696337,0.9828155210311296,0.6767928366717796,0.5883842409049763,0.5090602317713507,0.5942791996720191,0.4676846941104334,0.496774614627247,0.4880466380872126,0.7527823459453931,0.6204049137987854,0.4634095042467387,0.45518998051107606,0.5359303121982437,0.5847712864692245,0.47114695745359486,0.4402560587750971,0.6429405006539072,0.5009243660213852,0.596961767426502,0.4851105585029879,0.5801037482400544,0.6693053992701002,0.6657625128761322,0.8119088490471627,0.8561880118692885,0.7825251445811929,0.797778305379805,0.6789376992384312,0.5794500083675889,0.46641486708798546,0.46031050826736986,0.41025467114888814,0.42571664123535335,0.4815658668031954,0.45833334538205567,0.5732721157436471,0.4550590218261961,0.5035363541174377,0.480471709363918,0.4776637283705915,0.3752809657069979,0.3874199410763892,0.49601686137259776,0.6765777243839521,0.6007779775278935,0.7158016829478674,0.7320609580802669,0.824282124683646,0.8438678207792847,0.8582351955652764,0.7598682547345662,0.7607230931454861,0.8390633267090487,0.914689589291524,0.7961748601476081,0.5026962112167438,0.5319491699684279,0.5862468280757797,0.824001722258551,0.5137503045764468,0.47983598023658836,0.510720567455842,0.45510802890815244,0.45397144450926114,0.46959327904753634,0.4604861897417158,0.46411934478706773,0.5437366777994065,0.5099552618026304,0.7223610165364779,1.1765319687639162,0.9170659454458853,0.5441619393077558,0.4650362121070249,0.5160378331795703,0.45759186049429906,0.5604104577350724,0.5302474995533751,0.5148910225519318,0.55212138132435,0.5936790387381695,0.8412080571879986,0.7536949461126151,1.0957902177158252,1.582288797248533,1.4172264318911318,1.1760153048120352,0.8654584140486603,0.7082914813140511,0.6986524880198071,0.6339807248588172,0.5523645948610237,0.5533955413248942,0.5256601568376617,0.5717086129664584,0.55667340631245,0.6203091435097201,1.0169365572146811,0.6456778877035185,0.7333143732031197,0.8570710373035824,0.7723321165501672,0.7947982146194141,0.84981508517718,1.3430257037369944,1.815332774270991,1.846636963194883,1.6170853529794793,1.2393302192283229,1.4313758893711543,1.2208945495381445,1.0436372560921334,1.1507072171022625,0.994652727757974,0.9493151904944865,0.9283428134752522,0.931096952644098,0.8485383111516271,0.7584020850252398,0.7606964576841507,0.782810492521474,0.7532541597353543,0.7057884428186875,0.7350250437428953,0.7785073216170827,0.7818582640005992,0.7901214289381594,0.842226310979959,0.923330224084187,0.9650343503181767,1.1205891766486775,1.215170793138763,1.0378130325928283,1.2450891094095309,0.9059865497578541,0.8417694571186378,0.9214526970126822,1.0008654522852918,1.3534714421774658,1.1606810803791414,1.2307154087190406,1.0299832725641975,0.9514857116043487,0.9361363646297466,0.9584317362254606,1.0918443650186473,0.953108852304799,1.0234064643627285,1.2344636567240184,1.242423447686212,1.058074595988839,1.2016354136905925,1.4646393426934756,1.2048943976211355,1.3028370147495536,0.9719268894392675,0.9623935521728737,0.9436750289756266,0.8507442397756265,0.8390931235310158,0.8436697909084434,0.820082063694294,0.8050902980427866,0.7957061637152806,0.7292261296551334,0.7332357654821352,0.7425113176468995,0.8018107742402724,0.8536522588985982,0.7677956530014795,0.8313233629713961,0.9523574958997868,1.092917098478109,0.9269115807245762,0.9434094238730358,0.9014619941589235,0.8272005136097536,0.7896893277405038,0.801059520188106,0.8485302511064121,0.7905537658133376,0.8059114770105601,0.8794961632733904,0.8732102640580354,0.8501850222800024,0.9857896957185982,1.1286400025579186,0.9391514819616347,1.0933901427278916,1.1627419603031384,1.3124245245969888,1.1686954348218805,1.0270510583943537,1.3329832621352151,1.2241485590031373,1.0681427031521158,0.8807589287518292,0.7834132187645552,0.7722623240702139,0.7776985843855191,0.857631425200786,1.018470213419194,1.0406586640520579,0.9340447934691074,0.8235895235042475,0.8275664093743216,0.6969387249029446,0.7350943588050796,0.7138895208284317,0.6858547620827152,0.8910489124102161,0.7780803796160748,0.6434888722162664,0.6878461640883282,0.9255795915900442,0.6099788234758802,0.9344607211697628,1.0050126049281791,1.3505454750527708,2.201237266670656,3.4175563006239926],[0.6548229335758168,0.6377443940794281,0.6932231404429895,0.5724259226539314,0.6468089886838225,0.6020622193612023,0.5212577511051814,0.5216627312391201,0.5226921982668323,0.4706695472639876,0.4612635510662071,0.5493275872440947,0.4888522947017918,0.4489433577685514,0.4749029539409404,0.47638520920972677,0.5174391760390057,0.5017800961552735,0.5406111989383677,0.5587457376571543,0.6210007198715829,0.7114046305685618,0.9221219122005854,0.9565838411946221,1.1643511192425837,0.7543612033914622,0.5310751157497947,0.46504389444344785,0.4947259331968062,0.4795655097195036,0.521623750782646,0.4888982067126567,0.5250723941662886,0.5050389560401218,0.5066693231340054,0.5180070053838529,0.5420190227580283,0.538401738850683,0.5272353626178655,0.6301149444513862,0.6358912393085622,0.5621838421695989,0.6260432836776921,0.9850010505507641,1.2368933259198387,1.4646412723996647,1.9606420166236724,1.2666905436467752,1.2171850906927497,1.5136196348765862,1.5827166570960947,1.8114555938100614,2.0353341446553013,1.0353880480770588,1.7220424835248451,1.1810898597283963,0.965976834565812,1.0925135932485897,1.1864977576650482,1.0987528742955452,0.9316554344073994,0.8027238273865321,0.5852948809500327,0.7391085348616336,0.6850114549212435,0.6097471646544704,0.75816188026177,0.5558899506308664,0.7246603004560076,0.6823714505954588,0.8254276670514314,1.073970447292637,0.7318026564981019,0.8925979326252078,0.6245318030861526,1.0234439869512713,0.5457153501964309,0.5164159258180516,0.5306222131229608,0.6018849300194559,0.6224241077745304,2.0994645664307776,1.8140606165476592,0.9501681699436331,0.7146907090834005,0.6519486593178919,0.553834610530976,0.6437279636395462,0.5211653767610465,0.5417786785803531,0.5418254327583807,0.7673581235855205,0.6596219059391215,0.5075491840258185,0.4951856399138015,0.5728886311258147,0.61429207448136,0.5320842560550988,0.5307449933969008,0.6914231260806474,0.5660634729916568,0.613928091840093,0.5412873580778642,0.6409155338978364,0.6741084503346546,0.7002851339654675,0.7934514291074212,0.8216924025263436,0.7817155976076919,0.8529538405671538,0.7062218332064759,0.6306540596020324,0.5430145215713083,0.5496350797202578,0.48550606571895905,0.48564629017733707,0.49245337065172573,0.49702026640410935,0.5865340113120777,0.4906286244855057,0.5273171304186989,0.5115287340946553,0.5075519546203758,0.44868719632397086,0.4894782200654327,0.5827563434812774,0.6997400568732668,0.6602831139955324,0.7279456638575544,0.7561317737964017,0.8247098640581308,0.8355513526378457,0.8424291608369487,0.765154987717944,0.765425299601681,0.8580074185146541,0.8847134000943135,0.8148374449616026,0.5819620603663036,0.6000401038791295,0.6985989241402757,0.8896295618602086,0.5566163170833505,0.5318700101167836,0.5508601724070579,0.5207571088333586,0.5184108075916745,0.5276135820965436,0.5254211930731414,0.5278206807168875,0.6422711792701741,0.5850410934950667,0.7637596160319532,1.24789115115775,0.9865308513476161,0.5865888189496894,0.5119926651626039,0.5728884791951855,0.5199571480315757,0.5973006067878535,0.5746665798628076,0.5570462537013904,0.5894634574569076,0.6176332677895326,0.8423712124954652,0.8000934179576124,1.116423494261687,1.6378288313235123,1.4542505805938786,1.1792577720928523,0.8604512552258107,0.7223229568771976,0.7050750956485947,0.6550368318447621,0.5783065747933248,0.5813603719826992,0.5840024916493364,0.6139554725360741,0.5785441162086977,0.6216834324858238,1.0424312497070238,0.6464795052802819,0.7301507509339473,0.8318164037756378,0.7742745755861014,0.8223623666087232,0.8817650940263149,1.3583527689284525,1.798691016426291,1.8241338025530478,1.6486175108667551,1.2242749679428604,1.4034551371083757,1.2096084193805237,1.021205056348332,1.1121476414890963,0.9849071828546062,0.9236818880809936,0.8949564434077509,0.9506354778803409,0.8280521447359838,0.7580464039579061,0.7694044727389807,0.7671751586393649,0.7395555732582646,0.7297814903724236,0.7617376107893195,0.7721653529204222,0.7839115073844019,0.8089293314797372,0.8528641859453002,0.926856198098734,0.972873405556369,1.0917009412917102,1.2009167263512286,1.0493389616520483,1.2426296151100489,0.8650557259931863,0.806993649630263,0.8808452295098638,0.9171430375875335,1.3661870028579133,1.111029999348156,1.2906351859191065,1.0007657003735653,0.9073761067071783,0.8794300344299943,0.8884461760770374,1.0199360398342874,0.8978424016434704,0.9733168601564472,1.1810415941619565,1.1899765275762972,0.9961193736778291,1.163000944071142,1.399603467417892,1.1503864384100293,1.2721048365878702,0.9269709412649046,0.9621315235418806,0.9082415776570242,0.8125502745149388,0.8120858141826518,0.8213290468689439,0.7924138408714214,0.7667360764171292,0.7548921514730613,0.7007857818511002,0.687954315559807,0.7314405275070112,0.8035527939752592,0.8914096863964917,0.7961041848867699,0.8459664293681525,0.9902793910579192,1.1577603393758291,0.93442121142464,0.9325449049910783,0.8664566775621708,0.7943915285490388,0.7613594238799716,0.7731040674257881,0.8065692697372457,0.7669272362154563,0.7775791028546458,0.8366319561181506,0.8411174154117743,0.8143532173747071,0.9251939504221219,1.0667734372024682,0.8823325422313885,1.0044258107865567,1.0610840756215267,1.2168578058194301,1.0746833143525727,0.9465526852514146,1.2732969560283491,1.1854830357267216,1.0252831475381052,0.860852860139114,0.7818905359561915,0.7878730607812523,0.8153201118136995,0.8289990109463921,0.9384507001012572,0.9936326552649105,0.8961044986881134,0.8325350928019546,0.8280514603479,0.7135683407330053,0.7422911192459978,0.7403089312506377,0.7180989889616661,1.0210184679661223,0.8204554722325464,0.6985312419023827,0.7587105256501077,0.9968682241779587,0.6635423472375624,0.9467529676821966,0.8573430602449809,1.5597558568637635,2.2301195437557513,3.1442650666287157],[0.5803731888049005,0.5325215114695494,0.5820019247768724,0.3873449020427101,0.4756215820760134,0.4576163774252007,0.35879290430593397,0.3640119430315649,0.39972973488120445,0.3449940552286261,0.34121164341850535,0.4334417366949688,0.35603106458244693,0.3582381562316804,0.40503073210579565,0.3900597009652225,0.4358894227314295,0.449305599865559,0.5586280973743759,0.5310886663824473,0.6488127327918038,0.7620944109342878,0.9804148144185912,1.0485621025801128,1.1864354491640312,0.7743011711080121,0.506476434312582,0.42459188649496166,0.4038812525311761,0.3707491142961437,0.4552627402744181,0.3628347444333887,0.41285554730208596,0.43573365537828485,0.4158576764900357,0.4484103920081281,0.43023834701416297,0.4753938336699932,0.47514423128539224,0.6099748655905962,0.6140955696234831,0.5450868224878792,0.6473424305250891,1.0199296737288823,1.2541422755699532,1.4589580742399386,2.021516746462811,1.3359603341413233,1.2339519710177105,1.5454598612350974,1.654101869871566,1.727459944973877,2.067191637655993,1.0598277398221208,1.7309533685035452,1.1438556934591926,0.9819705623855948,1.102380340847893,1.1188087406269849,1.1266786233691548,0.9421716961043473,0.7828261935167874,0.5733841511214584,0.7721883666465172,0.7218164011878585,0.5988091814070268,0.7595422014949608,0.5402745509542722,0.6995502214399335,0.6728767403237049,0.8234032096839494,1.1450660079064008,0.7491013968407759,0.8980889916559547,0.6280693605399926,1.0439124202298753,0.5363892842273322,0.5052022992142303,0.5135688269877179,0.5531929910732322,0.5561769800138412,2.096433167172911,1.730571975002376,1.0030342794765612,0.6547952072603765,0.5402407315145258,0.4707318386624566,0.5668638977053023,0.4784155477600663,0.4860533909662746,0.5063035920277371,0.7640402696219124,0.6527680379644165,0.45844381186010585,0.4332681320885154,0.5324782037504265,0.5704902147746026,0.4447479956348874,0.4043357844104845,0.540620590501543,0.4140165378584544,0.47096249811202184,0.3904223145913686,0.47990783292056455,0.5191937881751306,0.5304856176329585,0.6270871061782192,0.7108023263075013,0.6192546897116401,0.675146090005547,0.5264758745463151,0.44600829332665104,0.3606465525506105,0.3808973377986849,0.3553523475361881,0.39386039625091096,0.4513260338289617,0.48436058061039167,0.6293294202906607,0.47562133294862147,0.531108949975819,0.4858438136648144,0.4800651106511937,0.3508060612086477,0.34215047833462975,0.4057179764009317,0.572275487968102,0.48358851445750217,0.5529548287909364,0.6036347458496418,0.6773290981661013,0.6899421750495742,0.7238921576363176,0.630837733792668,0.6464439532415579,0.7371048456591012,0.7414431059033618,0.7416196743641524,0.4734362779700272,0.5004941338602874,0.5867016872678839,0.8585013421083642,0.5358274121554927,0.4743263145613531,0.49599529721305147,0.42502559795373723,0.41062935994640587,0.39041840133164213,0.3663550393245867,0.37342692818861445,0.4473393406167441,0.4253807953021702,0.5927275361008437,1.1290377736382113,0.8809828965450451,0.4327245166283906,0.35135592681562317,0.3941821697134199,0.3652904825809705,0.44069202269688046,0.43266473050502385,0.43731938288249966,0.49602429260878944,0.5495962808236085,0.8097246143563918,0.7593860106535266,1.0831998351087857,1.6303904115474124,1.4062870044076792,1.0566373428879339,0.7707353896389004,0.6172143663534143,0.6027208821073411,0.5357387711895647,0.4584972627440759,0.44481273449257475,0.437726309103946,0.4780419572986804,0.46506682889492307,0.48924724455104035,0.9620157090370532,0.5199024717351698,0.6386445244730804,0.7780883271735288,0.7212236320129827,0.7880536156186864,0.8541407246710666,1.3213881140125479,1.7420508472345462,1.8434590978675363,1.6873835216965292,1.257667375287134,1.4322526139232392,1.1814166673912467,0.961522722428826,1.0793967715582118,0.8747492680447999,0.8251688923093884,0.76836967203101,0.8174695385630814,0.6881016486961414,0.6009477848158953,0.6000538569254456,0.617820971970737,0.6073642865164033,0.5767188345988942,0.6161739004872963,0.671665062243484,0.6864332046490367,0.7317842157558943,0.8123143188096648,0.8980294360068293,0.9369207124182148,1.1022876671535413,1.223508019921128,1.08663193994178,1.2357286941637884,0.8828906840562714,0.7716514742095776,0.8798795279218312,0.9477209470072333,1.3377088418306566,1.1050123095897342,1.1637779953282479,0.9236841512543682,0.821045635563042,0.7742911318106193,0.8375245078853598,0.9690132862561989,0.8302841241388509,0.9121656867500382,1.1493866430896802,1.1152009732509247,0.9368822919964603,1.146492478726163,1.370238777385832,1.1101245898530083,1.1913569712534364,0.8318638742196488,0.8649158673497023,0.8015997768348809,0.7047030465469022,0.7299804210702283,0.686414253991933,0.6976346594378958,0.6552956789251284,0.688444441199724,0.6003168164303426,0.6056888057296538,0.6007810587723758,0.673140696846823,0.7652932669933284,0.6844892657021017,0.7451006116516213,0.8853582142539995,1.0731664298568075,0.8772272788594841,0.8908068387194139,0.831847202546799,0.7284267466296444,0.6671031005098098,0.6949149154813011,0.7529083127822835,0.6838361082901159,0.6853980146896436,0.7751519148137556,0.7792069668445043,0.718308636892557,0.8873709017288628,1.0543004706186103,0.8135813555378001,0.9586029169217457,1.0867969974994045,1.2354501588909947,1.0752132310888975,0.8906816341814349,1.3447700681597707,1.170850709497441,1.0178595390585379,0.8542724846779629,0.7357994185713037,0.7629389018397301,0.8211347857210105,0.6987742343211378,0.7654730587296731,0.768390872365761,0.7361221161477771,0.6465226616348357,0.6692558352452744,0.5264266575741495,0.5674833299859512,0.5770039798490562,0.549407062303758,0.843212053047428,0.6999889971236137,0.5603482013700128,0.6356321229783021,0.919110038460125,0.541361994552838,0.9034675192283557,0.7999290340721231,1.4708986523458394,2.1377283444913044,3.1551044778583894],[0.5434900723733294,0.5218889147397172,0.5491589739782254,0.3483010860095582,0.4474533097611525,0.4019127102871182,0.3309795062251242,0.34518443728462483,0.4105690820524518,0.36696672453402374,0.3636551672048821,0.44558020957386046,0.3821713585498218,0.3952770553719524,0.44967649296371254,0.421137237411554,0.47394355485600126,0.4950680674867482,0.6219823522681367,0.5663893873315385,0.6919714568893042,0.8412354047546918,0.993942403949726,1.0866621927784708,1.1613496012091344,0.7886057696325487,0.5553909983770384,0.48966567133351946,0.4551907308208959,0.41906217374121085,0.49173398012575453,0.39868047406186247,0.4541679882183067,0.4702170780089575,0.4363944929459957,0.4681304479319642,0.4366744058542431,0.5288036486108885,0.5304285155595974,0.6865579964173668,0.695699346346507,0.6295656668676219,0.7494402001450245,1.1148883354879895,1.33342086818031,1.5583156434734458,2.0955179645890385,1.4117194866865024,1.3193042218902111,1.603056044171738,1.676957671617831,1.8300992866866161,2.2131891183960843,1.1205633918974174,1.6975404328366026,1.1410678369537381,0.9693792373751421,1.0496573646257916,1.0783276617091835,1.1014346198108234,0.9414649931283462,0.7719650683018892,0.6122749122996245,0.8383009529955459,0.7639958019280574,0.6331225214643287,0.8038868072720735,0.5877892051700829,0.7297936963863559,0.7090466340886945,0.8420394504490021,1.1820831943025418,0.7923320986034705,0.9331260804681105,0.6799691176198178,1.126530135179411,0.5774133306103023,0.5550085399249031,0.5417683918632115,0.5707591306049639,0.5188953938326184,2.1661869111289858,1.7982139310280247,1.0236305540286812,0.7044471282030998,0.5372401089250801,0.5048870555344664,0.5570792782611369,0.5104590473084293,0.5144326185446783,0.5373967853170167,0.8115382175603647,0.698958936089139,0.5070108657662341,0.4792021814108266,0.5769813459741775,0.6048985301199963,0.4824010658349787,0.4279596126193397,0.5141836335250171,0.4419163796793556,0.4522889735445398,0.4075716563996722,0.4437139180490031,0.5149346720739806,0.49355239938527123,0.5857446954240394,0.674044202733664,0.5929273711964373,0.6702976587093884,0.4921459631304218,0.46015460176156886,0.37185532043264363,0.4001961058876824,0.376619799900309,0.42276314818990934,0.48207171209329036,0.5365884696115137,0.6809122679950625,0.5275748932571598,0.5795551757404243,0.5126708312730658,0.5056235043831633,0.3840222630831603,0.36519590493231774,0.42631640747239713,0.5233073229083026,0.47841827791139047,0.5160987312062114,0.5998770853181095,0.6360698610956573,0.6446031486064535,0.7395694735797347,0.6471175707382938,0.6803479110730659,0.8072924788642597,0.7583137914704591,0.8043398274874202,0.5844427705093695,0.5981020561568879,0.698446991900544,0.9221936145790932,0.6115174322950536,0.5461752374767335,0.5668501984831913,0.4757970800288816,0.44521628197976504,0.38949674200758755,0.37449406574668126,0.36041892863094077,0.435041225621655,0.42037734075639377,0.5506309055818183,1.147697549038671,0.8995680144964048,0.4242958177295853,0.3651426177143021,0.3626026241323552,0.38696513462177407,0.4494543669965537,0.4730295903194351,0.47530175818725723,0.5623499573104838,0.6122665577625809,0.8525294330612742,0.8465582797931676,1.152193168430781,1.7329723575631795,1.4823704725676254,1.1205883761781215,0.8258049286589191,0.6894269876305263,0.654199421051007,0.5974430435692988,0.511598872929355,0.4828959100964334,0.4474086300968655,0.521661494465993,0.513636523147579,0.5132948204578237,1.003608910950677,0.5475272618188488,0.6643355286467792,0.7948756798817559,0.7714154615739963,0.8666960485713414,0.9365298815153119,1.3581294095160452,1.7904308293049223,1.8615827550507422,1.737412661593765,1.3149061310769659,1.476755631268843,1.2236200794743697,0.9888075171479054,1.063349185183916,0.8425231625939987,0.755844066841852,0.6753682987196774,0.7482794707830168,0.5831027919500478,0.49244996211502606,0.5095540554851722,0.5016414234799341,0.4762413773740956,0.4814244232380633,0.5269951156999144,0.5557285636737203,0.5711366535809024,0.6359801725295939,0.7173618555955232,0.7923223495251787,0.8394122857002173,0.9886305218109123,1.1348909610313471,1.0270209050745394,1.1301434943624535,0.7743010402853358,0.6605319520260897,0.7526085127822404,0.8236099381918245,1.2987616858035003,0.9929276069016274,1.0987239261598336,0.8155186571468344,0.7229706092002888,0.6770936966435676,0.7272042146393692,0.8398607908114284,0.7285986876902568,0.7795550116906692,1.0243485061673645,0.9915006912610446,0.8098961794212861,1.0751715082573727,1.2556087733712253,1.0051988736109772,1.1656741764804865,0.7217893717525699,0.7822469529805601,0.7005268939413213,0.588940130224928,0.6390610588400798,0.5891738898776908,0.6394345752164744,0.5537731394568826,0.5555865363027025,0.5341954879643932,0.5559037865556891,0.5001467234874761,0.5767575676928077,0.713253025618868,0.6009837103793825,0.6342413802983882,0.8069344784169072,0.998335253167193,0.7734670154786127,0.7725040609819444,0.701380380068023,0.5975230184526218,0.5362347856373727,0.5571310213203865,0.6202139239090076,0.5515862757017986,0.5562513335812309,0.6541549385385266,0.6681141688418792,0.5997016270886286,0.7637261974579926,0.9560742491643915,0.6973951183183761,0.8428116294059085,0.9496957194243015,1.1133295166307449,0.9489169404209712,0.7762218465329219,1.2839993207590599,1.1484903000571207,0.9398862862487141,0.786713440638203,0.6537337282125911,0.6901636722553919,0.7979417009454833,0.6058278055006774,0.6626418960559618,0.6969997346926511,0.6330569770495833,0.5620684792923301,0.5862594957886298,0.470926027431799,0.4875476791852261,0.5268520994114502,0.5034048891752947,0.9510275544245519,0.7062879090555803,0.5295137839456241,0.6528125736959146,0.9855468914958201,0.5120007796979008,0.8422891080089974,0.7098729918637074,1.7300026355588771,2.2926838807391974,3.1429347694877596],[0.4761113038441789,0.46370348588353894,0.5255118090561858,0.3023193933834046,0.4443124728117202,0.40055315593585483,0.3139091779220723,0.32108082315052494,0.3802550372712172,0.32801296536526414,0.3201891491609117,0.4098554484173176,0.341989569394602,0.33808979621083046,0.38026816694549037,0.3597707430443523,0.39793797204385506,0.4062327657347306,0.5098525277258696,0.48342312676682747,0.5895169391254924,0.6983948034527336,0.909972621269135,0.9662373158700661,1.145406805782002,0.7281672210016754,0.4615455287307804,0.38713436610251245,0.37643212699225276,0.3484669580054576,0.42143707422711746,0.33909577656779744,0.3887282869441362,0.397433162787568,0.3760315881843005,0.4013833502047515,0.3929490170512487,0.43607515986974926,0.43977963056730907,0.5811666322197513,0.5942975526150809,0.5050540570525617,0.5969765639230875,0.9871619043241261,1.2132130922461744,1.455406215487093,1.955702379145656,1.2573648696021384,1.2151361913059877,1.5003385885550073,1.578231361278744,1.8112245972774317,2.0870922865653982,1.0158070515403275,1.6732710159735817,1.1225039643544668,0.9035509003759584,1.0227421596431516,1.093378208752395,1.0376447876778385,0.8841170665089881,0.7377591278329496,0.5232105069989738,0.7025196612811976,0.6474146965424945,0.5464749454826102,0.7137760402635154,0.4888008948870096,0.6642668792165592,0.635982955180142,0.7961508271506291,1.0957501540405763,0.7090101191927073,0.8437222156509019,0.5902309904503893,1.0202134553203674,0.4819927399887979,0.4524449435694654,0.4540717818045814,0.4942912650642612,0.49636241412276383,2.1167310662061203,1.789467150323397,0.9322743431107849,0.6398020973102819,0.5174933059468686,0.4334148374675222,0.5217523031214608,0.42177680495336245,0.44610221742841194,0.4697930723847168,0.7384229894055897,0.6252174087509939,0.42843974354044406,0.4103502487080944,0.5193091866006414,0.5672019334095273,0.42884095723805765,0.3799553208593124,0.5064927996156008,0.39553198882404955,0.44593393128942654,0.36807730039143466,0.43647347459718644,0.5000260257278423,0.49542353276664025,0.5888384455714826,0.6750860668781856,0.6037380888720102,0.67167722037109,0.493764292504349,0.43925826385214384,0.34429058189663686,0.36692274976375305,0.3251458932728158,0.36155910680811293,0.41410258927041327,0.42974852740019265,0.5703132756832078,0.42509364974632813,0.4814392159882862,0.4616356482694186,0.4489919920988649,0.32620708455641634,0.32750539190747885,0.40312080792786903,0.5251711697010937,0.475147670458741,0.5208364869169884,0.5946920115054848,0.647751136129399,0.6530406816115689,0.7199154899113376,0.6275819709068643,0.6568200801045861,0.7832502083398488,0.7737077046581685,0.7616495234293795,0.5112443389508365,0.5220505338289932,0.6233243249544715,0.8386416451775539,0.5059312683646031,0.45347985792698015,0.4758372453129184,0.40120246895558476,0.3835391437461246,0.35009866251221256,0.3381576478471101,0.34636894389879114,0.4251766540462571,0.3985254213197948,0.5538780352720641,1.1243145115030244,0.8875517538592035,0.40778443596320096,0.3293720493208199,0.35584270824040176,0.3426814670809243,0.42094971484418653,0.4245965866416193,0.4206773176763778,0.49219009564898886,0.5342192813847583,0.7733606702352591,0.7560651585687663,1.0918028560012973,1.6619876835148366,1.4443908725465715,1.1374633237891576,0.7961979416841583,0.6468079802168379,0.6076998413298071,0.5440177311835575,0.4520331264586291,0.4354455363930265,0.4140431937886424,0.4828508358638367,0.44971752601583415,0.4638011235310188,0.9684456776388785,0.510864123908594,0.6149669248094659,0.7433179204686594,0.7093428003180597,0.7766106943486955,0.8490113680885737,1.2993373681733063,1.794687852856028,1.7929652515866203,1.625096543451949,1.2457654245774092,1.4029541583781946,1.1829384333887927,0.9502620438557512,1.0156743539422026,0.8402914698921742,0.7527992235947722,0.6908163678678676,0.7615653603150269,0.594529092259306,0.5004259194313744,0.5183131836362717,0.5070451146823373,0.46897628357928406,0.4708623481159479,0.5225616789163113,0.5373200567120598,0.5429652044187457,0.6040533866098972,0.6848983269554069,0.7449780204965845,0.7922180548630393,0.9343188698411912,1.0807853798825764,1.0204273096458596,1.0703833381807628,0.7344701891272696,0.6290784864227754,0.706770086001281,0.7744672789369411,1.3189498370883292,0.9724351935992253,1.1381059539282974,0.80958390976856,0.7157810080828774,0.6764183652250428,0.7168963256065388,0.8188776083976592,0.7154345110935286,0.7751726800586849,1.0079960293054173,0.9962769416685523,0.8054991198437208,1.0472803300584685,1.230056920171761,0.9954706305717661,1.1780934356472383,0.7281955342035495,0.7895460698065544,0.7103695507029686,0.5938825850250171,0.653037519330048,0.5970042815516674,0.6431728093234751,0.5626843283580558,0.5457690150682803,0.5411680996666435,0.5537130588431993,0.4961948869249517,0.561820537184508,0.6978656922044595,0.5838016294271645,0.6067019429122433,0.7686206930118277,0.96048687331935,0.7334367216902518,0.7281537112302184,0.6580018777716745,0.561462760753428,0.5170013937889056,0.5388888068945084,0.5828185029671884,0.5268154976501084,0.5437532084605439,0.6312213579100001,0.6459702628039028,0.5926784775793977,0.7308128058508956,0.9172231866462833,0.6790193967729952,0.81460217937795,0.8970800741423108,1.0586084901561763,0.910210846725469,0.7596915195059435,1.2369792485147253,1.1598860139762164,0.9259102884997336,0.7700589192826266,0.6407611684947344,0.6756812698435753,0.8231746375297895,0.587981671201441,0.6658350362439351,0.7381306834576927,0.6503945175280185,0.5832259237602473,0.6029353991408891,0.480315966195554,0.4784379827085673,0.5254337260650787,0.49997108681586766,0.9366698940274674,0.697079927372393,0.507638548584736,0.6252215090942355,0.9658867633072232,0.4732618088409021,0.8350123559441458,0.6716103818289663,1.742350457231394,2.2994950915549754,3.1048496701691017],[0.5417703179597413,0.4970811560588514,0.5503957695480732,0.3040628884048064,0.4310546025584765,0.45878463268960135,0.3714504061067309,0.38276849268714197,0.4151070481478847,0.37537597208146206,0.3653227831978489,0.44909246626395105,0.39107110460755434,0.39324354902730335,0.4382356898881157,0.42943984094861287,0.4512123441248932,0.4603525824456273,0.5568095152643959,0.5412860143997678,0.6390716436881075,0.7157785637036292,0.9690937145428979,1.0207440840047202,1.2063500950146306,0.7638603685799775,0.5081742672710979,0.4395115665162577,0.42600310259933016,0.3839259672159516,0.48147460876990084,0.3729477411238244,0.4108778138962864,0.4351212792313375,0.4228917937016553,0.4540684155532771,0.4413968130285592,0.4781481313589807,0.4774520122512779,0.6207290389608363,0.6028794673358492,0.5228611520613377,0.6217458118114154,1.004655997362856,1.2155515357374471,1.4233026347130602,1.969198923178014,1.3020742100641045,1.2298440330517848,1.5368894490561242,1.6780677271891111,1.7174822771035516,2.0283639676271217,1.06449138610417,1.7740233630914033,1.1891207430007857,0.9894377210732006,1.1422745999150443,1.1490038891422534,1.1265720107801052,0.9327138007339596,0.7969449839586483,0.5690302833736094,0.720307264718407,0.6965421198352245,0.5927535344000828,0.7297252390968726,0.5406865649432164,0.7016990828545624,0.6907937579050278,0.8517120114053837,1.139277047101421,0.7413760898039947,0.8796222724024582,0.6200254748883041,0.9749901295821508,0.5421287608023353,0.513693379364744,0.5143070132459537,0.5551848186340939,0.5977589704643265,2.09383522412989,1.6945928648884505,1.027748115315654,0.6397715037479734,0.5487274689971902,0.48000160439770473,0.5936926860808628,0.4803610972734294,0.4949769937105496,0.5231667430675865,0.7512726733038328,0.6684035547677916,0.4784388634291811,0.45938719023502855,0.5608239889459106,0.6185444872544357,0.47279579205291683,0.41789564542405727,0.5139499673615451,0.4197773990841894,0.46169708571677714,0.3846752168586285,0.45944916417169684,0.5058068666648192,0.5014235636323809,0.5842204284268173,0.6870335459865118,0.5697175039698092,0.6095117203257908,0.47963364321511176,0.424237820663163,0.36258083265467966,0.3744166028252527,0.3719899391213351,0.4203228183013599,0.4897479161836521,0.48878790291557256,0.6220748105786763,0.47290653573382946,0.522382723196394,0.514137758607013,0.4977513362803932,0.36826681644023557,0.3537656185048884,0.3834930530744156,0.5560388686051413,0.4556813276873415,0.5164521762655119,0.5840979121415828,0.6481676044483947,0.6609659162580422,0.7253101710776254,0.6297321748712198,0.6503233433278633,0.7368891381714078,0.7297946866977045,0.7231889505422613,0.45038181026163837,0.4911946815779313,0.5494744400936691,0.8449958796927707,0.5159263409142665,0.4616620847656778,0.4919693085658434,0.42354079756643576,0.4161529512512356,0.39960247120546805,0.3616392969275912,0.3904359565054625,0.41752764124881575,0.41057570508157337,0.5425548477776464,1.0406183142444543,0.8395244961075251,0.4214284627172454,0.36424382604390915,0.3798672205533884,0.3616950940105763,0.4299976987464004,0.4217526791329345,0.4387732724256397,0.4913487191136063,0.5550654635020215,0.8302451340240236,0.7521773708940481,1.0941826943474853,1.6273959865697367,1.4225614870555634,1.0805838817369646,0.7840163843074354,0.6049820828781355,0.5921927570867063,0.5319941543628337,0.4565828391634241,0.44633001407379413,0.4410491739973575,0.46417635893194964,0.4634172773673072,0.4961165528210459,0.9668310738742539,0.5196222324434621,0.6446964954464015,0.7788858903249622,0.7264388619616724,0.7859027988754215,0.8504307327833437,1.3219270554122056,1.7692047314689965,1.8506689519686086,1.6712717121032405,1.2604632469859336,1.44957453984382,1.200994201105535,0.9771105272858724,1.0815407387640723,0.859734557213774,0.7966921467114702,0.6939421801122041,0.755527415848307,0.5884489982807162,0.4910342038419512,0.4978297089185748,0.4788519011219618,0.45406301764867035,0.4330917339811631,0.4762311731656186,0.5191475182951266,0.511132236249949,0.5954815379947308,0.6946602940980116,0.7535286144795195,0.8054777759005053,1.0031606165410347,1.1188000000500613,1.0707187437617365,1.0547977908660333,0.7744635170973513,0.6352020690912782,0.7226400417898077,0.8147377194420092,1.2536604013800396,0.979444836850124,1.0460707372460494,0.797321874602929,0.7126627334314922,0.6751522138866862,0.7502725952918682,0.8567860268632916,0.7395554174932292,0.8103666687344501,1.0546160894540666,1.0042196961884517,0.8426033682962857,1.1010219189445967,1.2888824605352134,1.0365193852507177,1.1659309372169995,0.7389841235976645,0.8184406192211102,0.7324170956962581,0.6139368211392155,0.6727099456991806,0.6038070915844647,0.6497213245662129,0.5816272196162361,0.5956006559117181,0.5233304942328368,0.556003775524596,0.4601585159868435,0.5015970212785508,0.6179545660571809,0.5406229762926348,0.5646693207668092,0.70342665614022,0.9267503661615037,0.7159603435188636,0.7210754024839084,0.6611430199819539,0.5503046991471707,0.49715150406886216,0.5242334749782507,0.5789900676170274,0.5071316799157465,0.5349528329145931,0.620820638413245,0.6271504014040536,0.5724922057802605,0.7521926676184303,0.9221752921831115,0.654867274244605,0.8289980466344331,0.9475805520744376,1.0926145828291511,0.9276561199506972,0.7381125335150959,1.302108927373935,1.1911745296227938,0.9627381387346288,0.828777227668399,0.6591491576129985,0.7271082548904774,0.907407998808476,0.5965717453685159,0.5975057254311653,0.6043185445350232,0.5751560135221099,0.5214137909113062,0.5877987993432613,0.45724358644997093,0.4648632758259763,0.4977507676478392,0.4338628979628082,0.7482443387402894,0.6484029575888979,0.451139942404255,0.539367825930228,0.8898264695937009,0.47136996791927793,0.8987993238654076,0.7387075396839987,1.4728742379752615,2.079192707181936,3.0408172953122428],[0.5084605812539976,0.48200486791847896,0.5507160451629346,0.27491058749097885,0.4151534430787977,0.4487274533561011,0.363173117903549,0.38031532511121363,0.4188985642182319,0.37918098586478544,0.36648571233646204,0.42441984337402827,0.3840238916096008,0.3919513294918483,0.4590330401615584,0.4420110528123322,0.48646532963813394,0.4989056555472178,0.6249797284133247,0.5673960439631622,0.696719118602154,0.8285105964916538,1.0209171206942798,1.086786276483752,1.1815925851473,0.7821483687262869,0.5338484086386049,0.4794944877734924,0.4499035538487484,0.41863194487108907,0.505899875824519,0.40879661454383553,0.44330588932283016,0.48638199037538765,0.4567550490372677,0.48823050167860277,0.4563810213418051,0.527947540533944,0.5184264452195518,0.6910643347773011,0.6583180780042113,0.5871465140503553,0.7374793705395483,1.101685360577493,1.3045459040826006,1.4976487900793156,2.0880485349719513,1.4328880348217778,1.317519073445258,1.6283348101038666,1.762908441364544,1.7426572336063397,2.1737142962817657,1.1436812802471679,1.7671854072136814,1.1669647697342782,1.027147184326654,1.1449934476334955,1.113518503558511,1.1698120801328649,0.9538793878905507,0.7948900102243599,0.6231851764792653,0.8317239144512387,0.7749222394278136,0.6439937398609759,0.7932492349776621,0.5902617366666589,0.7327728516629292,0.7354780365188464,0.8679995782733423,1.2280398300127837,0.7893170691777932,0.9337428834181406,0.6716963870378435,1.0493686074599688,0.6006642155237115,0.5750959979803646,0.5712780891098292,0.5898554347715294,0.5570622922068311,2.136198878105746,1.6919554645630697,1.140840763668229,0.6944872232205392,0.5360730213756731,0.4934641620661447,0.5766060788958487,0.5272450181248965,0.5373442038299101,0.5568425436878062,0.8101980643302997,0.717135314151602,0.5226711090508228,0.4978126045372892,0.5938203433712852,0.6360116318595346,0.4925683041558494,0.4284822509709678,0.48642977011252353,0.441639638048368,0.47708634596096366,0.43113670436675217,0.4619721628374081,0.52052306394709,0.5075899361906564,0.5866389229906398,0.6930356859507717,0.5751556870135037,0.6241891876729817,0.4853245847305487,0.44763257999816025,0.3718367782009548,0.3890162961576024,0.38449673846088883,0.43633468511463336,0.4995057357214021,0.5351753229431848,0.6721923992739434,0.5215311340741049,0.57810707647702,0.542180595110461,0.5277686883732458,0.38915543902529004,0.3632269345503154,0.39107450416720657,0.5500023688501322,0.4684294112567674,0.5273531705704249,0.6066737532933396,0.654509229994411,0.6708201297528732,0.7486669262865796,0.6568218082991292,0.6731501214050241,0.7633203683047335,0.7111139574388856,0.761737230591413,0.49023781956421203,0.5365784636464171,0.5860488171451022,0.8835577394540015,0.5681950674557456,0.5023958168651151,0.5348343819478185,0.4491902315352656,0.4300685323430674,0.38869477520544776,0.3745970525174783,0.38804014393352854,0.4359522585253061,0.4104489851549543,0.5167414661559274,1.0241792476583005,0.8258062174293933,0.4232420728531918,0.3716597949851095,0.38890178695174715,0.3935087340409788,0.4654396819876476,0.4621304841836209,0.46582965624584216,0.5296962746950139,0.6094775207302875,0.9025638236713954,0.83593364181077,1.1536672236246135,1.708399694991106,1.453814286109954,1.0212096034185951,0.7930682860915376,0.6394889825629484,0.6266898555535108,0.5762295875104207,0.5050035517027082,0.48708893348237536,0.44773054961951414,0.5028435108348673,0.5109347369161047,0.5361590162137329,1.016367372005207,0.554597105300958,0.6968541448427658,0.8383648642175022,0.7996896221773226,0.8820355537385048,0.9246393082611473,1.3436265887540109,1.736409275619082,1.8721224130385752,1.7601767473071468,1.3219486285305375,1.5007148084983044,1.2282562648360844,1.0093241695057416,1.127200528018643,0.8766133231418647,0.823504179065997,0.6925875989356597,0.7732848957024243,0.5937276651333323,0.49807879516382825,0.5014206931624563,0.4800060801987934,0.4525322637783037,0.4285710749897016,0.4748286199183413,0.5178817866548967,0.49261122473853436,0.5782882493162558,0.6803514646159987,0.7342972827024594,0.7800653968973371,0.9714640515208663,1.10052072332126,1.0610758352398804,1.0467862644597563,0.7857805011349759,0.6399375579445179,0.7255391325092521,0.8462839212657448,1.2618820182710646,1.00525091276104,1.0419757509427652,0.8095356445165448,0.7329914461060539,0.6861697316970566,0.7873450035578813,0.8746654151727994,0.768606239749017,0.8259532923206494,1.0741568894792735,0.9998712143914356,0.853742638755611,1.1715276111283324,1.3080778327132867,1.06185912189537,1.1817824053141495,0.7406135617661999,0.8542823937472318,0.7410274633541171,0.6270668114851913,0.7066243187783803,0.6227057270530895,0.6860275162040455,0.6075607830296219,0.6174547084512226,0.5646946410081671,0.5996822148484611,0.45811594154907137,0.4813620039808125,0.6106908111162251,0.5199969449676125,0.540413419638687,0.675365873111782,0.9064169831876391,0.6965715588814207,0.7041059346302163,0.6452890122234882,0.5401815774537819,0.4946130469648924,0.5357081934004757,0.5767030627866364,0.5061576514172063,0.5514763869628765,0.631939949930737,0.6324675134935694,0.5807089682422445,0.7697108652372411,0.9205775628970685,0.6506267611788157,0.8255277349886675,0.9812276821738704,1.1211981299963485,0.9466251928814796,0.744632285797074,1.3707747728208237,1.2006286058329267,0.9833510534520821,0.8437813859100605,0.6708472373760647,0.7240495740268235,0.9151098112777674,0.6101552297908595,0.5953422225107655,0.5442914098504841,0.5367371085171369,0.5036990677762418,0.5861387385387513,0.45151141946458984,0.4555577917900862,0.49856504531054435,0.43289041993353267,0.8112588137230536,0.6809681959188304,0.45218229391734915,0.5677808708227221,0.9503383207575234,0.4591738726834047,0.8808042260711076,0.7075534404001839,1.6112540746545492,2.1789056407305796,3.1062921085778794],[0.5415432116558818,0.5462368367996207,0.6064899689670437,0.34301501873335544,0.48148997654850595,0.48633219448820064,0.41612856494506717,0.4347962564584335,0.4587310087717238,0.42312127823069595,0.40931649221290783,0.46211699838243536,0.4199447163860964,0.4144032835500748,0.47291599027828946,0.460126535586758,0.4923273756520208,0.4949854502004921,0.6012230372982947,0.5564257887801972,0.668801916534361,0.7883947893421952,0.979770613203221,1.0387875061622027,1.1738210473410586,0.766382132696695,0.5195512724364475,0.4700518154473839,0.4500716218315403,0.43094904779364474,0.5081970296488025,0.4266739321445119,0.45956867794748135,0.4885394770201161,0.45894583072266965,0.4838966430297462,0.46003411851810994,0.524550867213019,0.5199487365970561,0.691618971797758,0.6624935862675682,0.5713004370288505,0.7003479274039708,1.0817624527965133,1.2752614771312991,1.4986011174602742,2.048166940789008,1.3783811125318615,1.308846844733254,1.59114228790225,1.7034285056493395,1.8063238355441322,2.184698804381859,1.123525389267688,1.7386074375667468,1.155011117178904,0.9744928210579328,1.0961727921072089,1.093232198684191,1.1197553757818532,0.9243837034736204,0.7814824685430604,0.6041158960854354,0.7880629371464247,0.7393560290881525,0.6192413268706652,0.7680655927818347,0.5780037995346492,0.7238417391848052,0.73153804582342,0.8723188712740725,1.2070933908433374,0.7777231389176977,0.9140088449059497,0.6622254833020857,1.0275151957999362,0.5814108469650123,0.5615843165734569,0.5555182537412069,0.5738751182080555,0.5420158041174022,2.1611109650873104,1.7396705359023519,1.1289272429197073,0.7155663436824602,0.5439503178438717,0.4916213260153467,0.5719875466190486,0.51478936136618,0.5342148087979206,0.5477894287426959,0.7958889949084201,0.711251310014407,0.5309904973709125,0.511417951199375,0.6081343355618803,0.6579706966079348,0.5151952564784008,0.4559973626374369,0.5070456208659049,0.4771284260889776,0.5107282277352381,0.47130449414851217,0.5018991657348765,0.5569396005572265,0.537734410945073,0.6249709599857133,0.7391379608183503,0.6220993194853256,0.694624167594144,0.5331228492784545,0.5064236362943917,0.4229187208607688,0.4266505881447345,0.41084650595460087,0.44533647608918225,0.4970576297771623,0.5165614474316459,0.6442078340225488,0.50985646213954,0.5710497781519938,0.5560615429995107,0.5368437815118225,0.4158390345024932,0.415010935759905,0.43592244286243603,0.5893259308011201,0.523087691030908,0.5644861251566868,0.654894062863027,0.6832374742606712,0.6983412742984518,0.8019431372019514,0.7080562429024254,0.7326934087134946,0.8378732821806191,0.7790461071968889,0.8245180525488921,0.5435705476787562,0.5757787561549167,0.6026256125750419,0.8703823329704945,0.5513016883223756,0.5050307771254284,0.539914941149404,0.4583463648497744,0.44271245599898185,0.4111955346418322,0.41253601483711483,0.4243350935370239,0.4880894192466088,0.4592744376618718,0.5467578993365655,1.0282943852307087,0.8513371344186271,0.4712985619723721,0.41885923454569357,0.4299889721103969,0.4342830635230555,0.5086271329606528,0.5095758900481513,0.482592037438974,0.5540085204594216,0.6275291490863891,0.9069303521517232,0.8658733203365963,1.196179359098864,1.7770079409572541,1.5330675900716395,1.1197616546001852,0.8564507696476751,0.7004653860722363,0.6715235839184348,0.6228816975991758,0.5417442276748226,0.5245677715935667,0.46705714243198315,0.5376509017324774,0.5456783653300055,0.5645410369114474,1.050444776388283,0.597520201427229,0.7294312341711665,0.8598985065765037,0.8327036921904013,0.90358133504003,0.9421278147529164,1.3478892593525706,1.7857671214900925,1.8668652498303457,1.738241921666689,1.3376554154700928,1.5006047567016565,1.2695519729196776,1.0444953773953407,1.1068199249134036,0.8819159377807221,0.8150560654350969,0.6957662330797592,0.7845490269600516,0.6166701143170296,0.5253917114718538,0.5314171115999798,0.5077557237010633,0.48184413926830183,0.478607575264715,0.5323931158115749,0.541277170367102,0.5216763981474768,0.6078964102287681,0.6994744126292608,0.726919535641503,0.7699803171923402,0.9421545222410262,1.089290528036036,1.1042231292474474,0.9960818995987978,0.7805842448972155,0.6497092296471325,0.7058351832437896,0.8003163120855932,1.3050351163116929,0.9762596025091653,1.075530469215407,0.833676737802945,0.7689943327943488,0.7165157084952137,0.7840669753113135,0.8566095579723938,0.7891715151973484,0.7931426648480058,1.0130289721390848,0.9694217293874758,0.8250140261099972,1.1523492877815456,1.2437346660841655,1.029291896223442,1.2129473413429959,0.7357226959078664,0.850254409318474,0.7400306177167476,0.6411156390868205,0.7267483016552181,0.6351012725125434,0.7260138318065732,0.6278358681215808,0.6212789637736774,0.626114533615681,0.6562160906509836,0.5019250360409491,0.5203785247978785,0.6566802048241849,0.5606299764163751,0.55876466930157,0.6835910188001203,0.9024709058840916,0.6993080803009606,0.6958356118616742,0.639057884802905,0.5497025927659334,0.5246220089643524,0.5510364196720646,0.5866377413645673,0.5340751199276984,0.571099662493761,0.6480550264398033,0.6591266084810989,0.6035983432223903,0.7498165654028014,0.9054548311557714,0.6589634332958232,0.8041839737288843,0.9174875635407314,1.0462273329999714,0.9032243172203048,0.7568575109105743,1.3725675367500862,1.2814058970822428,0.9781346277357866,0.8680410152714405,0.7208947061014149,0.7792831092600124,1.0243502136235572,0.6653552614874454,0.6125444971858547,0.6046958635333883,0.5462980196898692,0.5229163759919224,0.599048532835791,0.4910127004604314,0.47742022959302466,0.5373010266302602,0.4984943386147436,0.9236200120623158,0.7370087214471136,0.5301607361411226,0.6641842467233817,1.0260164360368929,0.5101737716470619,0.8923375518993965,0.7339758204478368,1.8850884026060393,2.4247172256473895,3.2417326193581135],[0.6374740067576664,0.6192543427027066,0.71829138034528,0.4363307517615534,0.51683350933281,0.6209614257521261,0.5703988591878962,0.582377168381212,0.6174244679180391,0.5920720948234452,0.5917665696563965,0.6323333530515,0.6260864530946492,0.6253615986896838,0.6598563950067509,0.6603156968065207,0.6977338186062729,0.716993465823898,0.7604900347349464,0.8250457744054848,0.8800708974765552,0.8015976740080333,1.1613597787035528,1.2063092017786232,1.457926978805762,0.9989063945423517,0.7780849618084025,0.6888831376390974,0.6742978734943759,0.6227136769097681,0.7058241146772009,0.5857628526662252,0.6052319350234568,0.6402434699566432,0.6465757689431064,0.6891362272607832,0.6481127236974531,0.6743598878581237,0.6805808321638005,0.7177384863102788,0.731872423758906,0.7175810803412694,0.7425015560548776,0.9832713600957578,1.2161969502948768,1.3771943886195237,1.847792830809928,1.2357137012007713,1.1763337487646361,1.470739999324935,1.5995035259123451,1.6421189277375154,1.8687650213079,1.1120022974866266,1.8375441818170464,1.2887168275913392,1.195851351958403,1.3564955267561176,1.3135493090536576,1.3243448513856115,1.190570859214546,1.0839884696369113,0.8233407295844252,0.8888078911328684,0.889964534610856,0.8328880721129495,0.9260739424893479,0.8020811197194905,0.903633946091547,0.8672242810428948,1.0341003485832831,1.2535315324870582,0.9005061008470489,1.0358368301005638,0.8277313702898614,1.0729613261938875,0.788935290830795,0.7576601355554571,0.7594527321303329,0.7937685468495684,0.8681191127501514,1.9474326719284136,1.5531731015318178,1.0290353748938947,0.7367394859466772,0.7368864654244707,0.701212155222007,0.8018503687353429,0.7324338696514852,0.7248563949975046,0.7655913628728027,0.9016431273967587,0.8439128068000725,0.6888555072147307,0.6643958100738746,0.7225863275459264,0.7798156105674929,0.6714777464392498,0.6287546395519635,0.6589991570916168,0.5918564916292773,0.5779651822241847,0.5652245509297851,0.5976909064104482,0.5890716759379547,0.6067821005288357,0.6199596383929662,0.7108625850993291,0.5853490139571368,0.5904702615458578,0.5250482251801604,0.5335079146012544,0.5573986163380351,0.5800510921142027,0.6310666251527582,0.7080063265350254,0.7590729152302325,0.7446474539570359,0.8513358023219397,0.7393462577829221,0.7710958060763944,0.7812440375253888,0.7733672509894458,0.6378885413334326,0.5642530110827969,0.5537054708069606,0.6061306534701797,0.5406690327987711,0.5528133623419085,0.6105896281967985,0.6484473442814183,0.6629222564583691,0.7138382509542314,0.6427661535037332,0.6620651781634197,0.6818566521788768,0.7070555122167443,0.7353074412375668,0.620192290986981,0.6416780858480271,0.705468087244007,0.9522351288614119,0.7196520649458991,0.673099046974821,0.671345095835011,0.6538240831193362,0.662194291058454,0.6334433652154288,0.5550731128183788,0.5994651661876619,0.5332571822333391,0.5703224948086926,0.6501969564214287,1.0569861483716554,0.8861787449105941,0.5693608695670025,0.5476882910896214,0.5288619496050896,0.5468078662523121,0.5606972212980139,0.5406033558982807,0.6152401339880217,0.6333689495166734,0.6612853530159899,0.8442235789992614,0.782197091618515,1.061375926327102,1.5508816047437581,1.390760767308952,1.069964387076234,0.781324898486845,0.6393940934082082,0.6521387614008489,0.601850755632727,0.5867961393992124,0.5693052026733668,0.6304956799836522,0.6225586137797221,0.5984593692946739,0.5865048746122613,0.9556637990297429,0.586999591729912,0.6832373339511784,0.8009974642206154,0.7514751692361391,0.7896351816635098,0.854939556436062,1.317805312350274,1.733905700333928,1.8212607817209459,1.606429765639983,1.2253777195290287,1.4158718003641948,1.1789160702045847,0.9558208872390244,1.0624162485914368,0.8499261416114916,0.7888692950786488,0.6775965900926977,0.7733851322246741,0.5999480164640365,0.5261127626025947,0.5360334185964403,0.5119127583622454,0.5054920453593907,0.5065122783656527,0.5752142732013105,0.6036001878555137,0.569042285911695,0.6819449033214208,0.7924076068851561,0.803435209264642,0.833126731011532,1.0406503781542926,1.1833052540275533,1.2444507564174514,1.0460020645856691,0.9102797061877482,0.7516759443503093,0.7995280512714535,0.8683025640105022,1.3288359583872984,1.0344272865820534,1.0739450827611075,0.8381704049453444,0.7517633100591374,0.6965134804725039,0.7747457215755676,0.8481415855676839,0.7736378681646271,0.7991022508193314,1.0149832719566754,0.9646423540096603,0.8180123179520759,1.1152608448795251,1.2235726318552054,1.0196595443016938,1.1701326739134277,0.719260679490171,0.848019096871731,0.7371679809037919,0.6359339177510366,0.7340082038973793,0.6568675877822494,0.7379645349692479,0.6553129296959067,0.7009973296245691,0.6529769802619074,0.6849156447613631,0.5191627420457157,0.5312684846399739,0.6580165238173552,0.6014216047458191,0.5944351461282988,0.698333110131928,0.9204752369100524,0.7412915372968412,0.7378329882362127,0.6922696379162435,0.5907197233591902,0.5506747496619386,0.5774340897617541,0.6336333277163324,0.5787176433078054,0.5986334318708297,0.6838568141947048,0.7060927962047399,0.6239819298182316,0.7741241791352393,0.9406268322172885,0.7003604813417762,0.812491670699786,0.9400866812630195,1.065575434229918,0.9392669370837717,0.8289004024286409,1.4478799098814998,1.4474245995821626,1.1169211240454184,1.0453455114840364,0.8537237637041291,0.926338968877645,1.2445754619123184,0.8455885165892709,0.7269762553449842,0.6080617757806039,0.5431580300624859,0.5059253048678128,0.5914536931730432,0.5001856897092838,0.5153145743472318,0.5419547556008948,0.49131960916476564,0.7789082683215883,0.7048488378646669,0.5359558435934021,0.5976890501283575,0.9436025574945287,0.54280616121542,0.9658657099819323,0.769906639657692,1.5485775332968965,2.106950181114646,3.0559479775295384],[0.5970043436810961,0.5802501400670081,0.680511982728707,0.38560457197150405,0.525862705184152,0.5678470514112732,0.487857391210135,0.5087828604001505,0.5123573165338656,0.4633965711556261,0.44963194467790185,0.511880776451497,0.47374803009826716,0.4702860989905127,0.5188870734476978,0.5095200051229227,0.5414413176670031,0.5356831649379982,0.6181917088787858,0.6122387943541581,0.7139502446986156,0.7411645332207423,1.0409984546193418,1.0845921945608223,1.2565281307047085,0.8077416024856914,0.5534548239442306,0.4991407218688799,0.4821597420806553,0.4567759314474103,0.5530935800200285,0.4524616602229287,0.47157558675015687,0.5024553338390064,0.4877860406785917,0.5137067128479987,0.49657690928187154,0.507617073269827,0.5025941781920008,0.6452059520242955,0.5938913039897606,0.5486359478403064,0.6575486570514749,0.9986799208377009,1.2030835451911903,1.370477937670559,1.9595168885436982,1.3352009415314054,1.2318738528867126,1.5663711296413658,1.7454997665394876,1.6501787909980046,2.0158734498402024,1.1234685903793977,1.8091537539368199,1.2076758667310585,1.114463704750998,1.276723022890564,1.2046034915113897,1.2326585780143031,1.0127936925295058,0.8784281433512131,0.6451871524500908,0.7816101202202522,0.7627668931958752,0.6593177192014638,0.7932157412686536,0.6204273106233517,0.7636870760844607,0.7687685492244976,0.9146692215699572,1.2330766866725418,0.7950424830380348,0.9404976813208477,0.6884214205221512,0.9726464499617916,0.6345428964101048,0.5981536740194012,0.6014848528582916,0.6282096898926,0.6753841180917838,2.0262538856720598,1.55869999749795,1.1609572613887047,0.663035270658188,0.5560180500477787,0.49688313935210404,0.6368408507507274,0.5501874082657263,0.5587694350363396,0.5957588320018226,0.7988252788052383,0.7331918493397805,0.5628543836177171,0.5442108416025212,0.6211587463827273,0.689984172580521,0.5501405210516637,0.49954471596650907,0.5481093409650387,0.5058268203283998,0.5528466471164899,0.49303364956254686,0.5544679916057693,0.5798779981670933,0.5894222506635856,0.6508689736455424,0.7559716384393452,0.6298284951436449,0.6395328262282303,0.5551675718681323,0.5040120649093797,0.4740329900754088,0.45644462191505486,0.4706019161367008,0.5251410327501788,0.560202708924984,0.5675559584043689,0.6898744197680501,0.5616368249263408,0.6194994859625383,0.6144097397804046,0.6065978981321638,0.462938405780064,0.44150635237761854,0.43939379667447376,0.6292009822679272,0.5405826956663686,0.592179322198209,0.6472103489265613,0.7047632671103786,0.7195406779422195,0.7708042167916744,0.6862098621421943,0.6881823325854801,0.725205620842646,0.724239426216436,0.7142440391032598,0.4342984044233575,0.47882825857190103,0.5097679903535224,0.8387783040725675,0.543823025575439,0.48888397436832565,0.5020117197610606,0.46009185694105936,0.4602596502282417,0.4602681618768105,0.44517482627917915,0.5001566769847325,0.5174811585729139,0.4987393295628176,0.5962081417627986,0.9893458140576422,0.8178551123271562,0.49475615196041867,0.45824377858361265,0.47756123832050723,0.4645870735470694,0.534285950695643,0.4809436739753005,0.47566852487876415,0.49977984714608087,0.5785290948749939,0.882330013146067,0.7855821787982638,1.107060283335658,1.6150359981001943,1.4024960657740708,0.9466853238744857,0.7579404259289957,0.5839096498982237,0.5989232119312836,0.5563707582183507,0.5086469825044091,0.5232761931292281,0.506034515945426,0.5562442394519895,0.5216766397498943,0.5581204233400007,0.9767222972102408,0.5824814617742193,0.7132814129923856,0.8510596790579728,0.8009451481125001,0.8481352044114352,0.8546361219349878,1.3167019672594904,1.668029181376104,1.8530778990127779,1.72277594842641,1.2853316315068097,1.490000436539636,1.2311683610239572,1.031571059123848,1.1607047624560072,0.9119842605391617,0.8886720664692775,0.7460463277849936,0.8303400038122569,0.6801720688811758,0.5979342866787295,0.5918749192447962,0.5750215029401153,0.5653897786951396,0.5405721305997969,0.5899749717956644,0.6248874010186615,0.5862280734194212,0.6674166448176719,0.7748218201315291,0.7962316114390849,0.8214104002004888,1.0235664113731406,1.1643410722638388,1.2123250589457468,1.0560832619311873,0.912500673428483,0.7539062290342815,0.8181769515328872,0.9254847974791763,1.3147811356801902,1.0802817468417898,1.054094263170698,0.8714073929169297,0.817760997797806,0.768997137323575,0.879790731531236,0.9292373673841925,0.8630969441122566,0.8964468443117865,1.108516815882349,1.0240043157938359,0.9091860007689069,1.2318887601803084,1.3362165860700792,1.1074228033310494,1.2050952427854753,0.7909545587180443,0.9339563500085303,0.8181890052842132,0.723057840298002,0.8108660293486887,0.7258834381956384,0.7951361883093413,0.7269003238264111,0.7626108240760912,0.7006691949331574,0.7263252863932531,0.5638282967820037,0.5527838346145046,0.6563003932865938,0.6122106778522483,0.6079576535502338,0.6874542868168941,0.9071687034982552,0.7438671646204373,0.7555735697279301,0.7093038592716039,0.6217410555500278,0.5999918062932875,0.6346263605402623,0.664223213066592,0.6103123924227014,0.6645975485249364,0.7236595053114332,0.7220511518012216,0.6693043718855256,0.8414100317457953,0.946582455773285,0.7154325328457564,0.8627691066104733,1.0233252776656458,1.1268550555862349,0.9863121790750886,0.8317157541614445,1.5030747133005504,1.3887597283536943,1.1152312844944874,1.0211841862553597,0.8353698459325868,0.8959270111673869,1.1693451728093023,0.8363343796619456,0.7463153684083215,0.5909886070354179,0.5702286639762387,0.5522875971989002,0.6549237892573195,0.5390384937707433,0.5478639839961039,0.5719034407089176,0.5181533706918395,0.7890371034043578,0.7188692315444274,0.5376414131182627,0.5965986307133629,0.9555616151526006,0.5208532184241289,0.9620921330401129,0.7720616612600298,1.5682396165319374,2.1340624362339846,3.1012420636132196],[0.5641708990261687,0.5736597841307963,0.6675162952378134,0.3767565938518693,0.5430745166496308,0.549082672086114,0.5070161001882497,0.5297154580972726,0.542280917008365,0.5347381025358559,0.5209858865160063,0.5491643134216275,0.5500133260747154,0.524855042179873,0.5847284003361746,0.5725291723359667,0.6083080939469416,0.599256387366984,0.706872929825663,0.6481901561922271,0.7704168456343352,0.9197740858879933,1.065562942518516,1.1280978582099166,1.186847415261919,0.8139679483512968,0.6166882330039216,0.6098722415651215,0.5815323850313778,0.5629322152167987,0.6167293214737043,0.5607708718868457,0.5701300594345085,0.6184924590042621,0.595488714160325,0.6120825198107366,0.6018699761627857,0.663098825349715,0.6523393138938522,0.8594704832065019,0.7889592361153587,0.7060561568229055,0.8929129400007491,1.2325722729538322,1.3961076556322227,1.59144948796691,2.199292415301024,1.5863966175548376,1.4630119982203451,1.7702290477831821,1.9154393685129036,1.8289876494389898,2.343751669897977,1.3034818773581984,1.854705064474144,1.2515146695592405,1.1206959353691475,1.2336907304916909,1.169918787550042,1.241590013121017,0.9919152805438674,0.8435803716797553,0.7233065077087514,0.9117881313594272,0.8629211671097992,0.7342545623032193,0.8610980201890356,0.6803284633645472,0.8094438635961263,0.8340599346000804,0.9334339682814854,1.3104070220828836,0.8602559760443874,1.0034427410675966,0.7475195334216751,1.0791757167881753,0.7177703639381973,0.702910605779607,0.7050544819569765,0.7117386139124111,0.6502168552067829,2.202231421232582,1.704090970488723,1.3685023827140526,0.8585444402169098,0.660905920992563,0.6256455875851337,0.6865219701404369,0.6518427487943244,0.6539587248685091,0.65978070463802,0.8744183062276708,0.8008264681265067,0.6423474627996367,0.6200204285366976,0.6945514876251293,0.7599803539311113,0.6283490011744984,0.576377060690045,0.5886964168037568,0.6019079590929549,0.6328355245920397,0.6393199159596978,0.6384586138630659,0.7281488399207634,0.6906618195787063,0.7557882336695733,0.8378462820738743,0.7197350242613858,0.7629334883254382,0.6353524900402756,0.6383813730190857,0.546553514806295,0.5521677758942319,0.5398124130851536,0.5729991469377508,0.5990843898016396,0.6381845146033605,0.74530456322029,0.6232521036427502,0.669390857611522,0.6374834374861719,0.6207447441296512,0.5288740137421982,0.5249723959322444,0.5477198466686499,0.6776921594216058,0.643479900525286,0.67446372279994,0.7672079661113523,0.7779564664879661,0.8097298662004372,0.9257668958542635,0.8495152708193583,0.8518355307722252,0.9045141761541841,0.8584831724794297,0.8779062910058927,0.6243172810478742,0.6735697338822185,0.6555463398119759,0.9324713504943797,0.6607511897994001,0.6242115481684185,0.6696196535801671,0.5945958843187201,0.5714594007569009,0.5533956633389314,0.5579888335868987,0.5488209042498168,0.6030065717249876,0.5512096690352483,0.6213676954649197,0.984517214155898,0.8666605117902206,0.5723053496923648,0.5527412625677522,0.558604823991418,0.593224694108717,0.6706775170612272,0.6674859736655948,0.6348606666897889,0.6940968866225169,0.7897647681399013,1.0832013796478948,1.0028282022670105,1.3165085367578235,1.864209000412428,1.5809133190199307,1.0739222326930151,0.9408797889351171,0.7971243988679331,0.8057417041654904,0.7686938577543757,0.7086772960884044,0.7062277069935154,0.6323641505897373,0.7085062114659023,0.7138507725932232,0.7486816418340629,1.1535879751852245,0.7604210205824348,0.9042326774251218,1.0354894326328605,1.0062747423876466,1.0819583941534512,1.0851675304924462,1.446050987038059,1.7831038068781844,1.96850740023786,1.920022784726371,1.4831627835671872,1.6334675128130007,1.3727373683107265,1.1711075472455232,1.2489411056488415,0.9763092900405296,0.940772167722908,0.7749638244334032,0.8596637070510557,0.7099129141683079,0.6281415001521503,0.6218576757884876,0.590811696689783,0.5700165062241377,0.550259755207082,0.5895996859654149,0.6062496046668268,0.5684096812264722,0.6433635830837234,0.738193707947563,0.7529121982436282,0.790713626823268,0.9714588669352019,1.1050416284138733,1.1556007043037886,1.0105917273130185,0.8563279164891066,0.7132343758576114,0.7660307523638659,0.8734199330783506,1.2843733116741094,1.0581870081043834,1.0653677690035341,0.8878498933927197,0.8486160692583832,0.8061913551867887,0.913186504456097,0.9391647258102837,0.8997670938703646,0.904444305746765,1.1021910434257172,1.018781259981191,0.9206573806713378,1.279622242693828,1.326186802819808,1.1132897746135344,1.2554180705375517,0.8148945087730585,0.9678977842370691,0.8428054659225912,0.7438264066011385,0.8530292199182655,0.7639872579453894,0.8576060502920347,0.7562352619664944,0.7535936437287548,0.7553165516434014,0.7819232308076687,0.586364205106021,0.5791118852696406,0.6939894327332422,0.6084166123607079,0.594866786558185,0.6865714521867159,0.9096263769747185,0.7135710372622899,0.7155993015583112,0.6748744717926025,0.606072429167105,0.5984710182805061,0.6345789320993496,0.6527709840297838,0.5994148750767366,0.6660060801235126,0.7181108010460442,0.7132066372335725,0.672605858181648,0.836405061602014,0.9426849975242781,0.7058174155614176,0.8549026366872916,1.0116397812006843,1.107705424591649,0.9692529060574229,0.814582361760715,1.5093381939645785,1.3802148947913466,1.065137242583781,0.9540514232595402,0.7970802394795671,0.8498396380766213,1.1096495803164368,0.7818130543834607,0.707799391873769,0.6264656658796205,0.5696823692138632,0.5648178533216923,0.6757259430558656,0.5856676550975897,0.5575991217664735,0.6132729514456526,0.5608188297694339,0.9354718477490963,0.788645857799049,0.5725369474931745,0.6879864293946791,1.0631255113417275,0.5441213607920551,0.9351568534359445,0.7927711702945369,1.9092709726115837,2.4696390814974554,3.3406786897326657],[0.7060080660279906,0.7200076487164333,0.8363277702360329,0.5418079099673291,0.6866973479439425,0.6798562865754658,0.6088222854321518,0.6237089057583465,0.6156441861608538,0.5692776120959172,0.5462361586803742,0.5877782776354472,0.5632756698193927,0.5399994274024699,0.5723300931085911,0.5655645814190291,0.5975400486757633,0.573224807357059,0.6367020759702201,0.6208808368769023,0.7189417657363463,0.7254280618349831,1.0211572980619035,1.0691745793655034,1.2581237525208904,0.8173163463139969,0.5521934444545639,0.5194979119727128,0.5115978077300756,0.5033005842195987,0.5912492839135502,0.5158428998750464,0.5293935271604107,0.5480136255922223,0.5277868057721898,0.5451379498701103,0.5239154177092404,0.5271930856878587,0.5139349874969056,0.6764637789635625,0.60928186853892,0.5492463440351335,0.658026900753061,1.0167615130495171,1.2038770945249653,1.4100117475528113,1.953005601357878,1.3284643783017058,1.2760599773302261,1.5881549378208806,1.737011910347238,1.7631506934877987,2.0968221009247836,1.1300300078653684,1.7910943684748533,1.1916807289775668,1.0582720490241257,1.2234714957875397,1.1691375704540359,1.196676568576579,0.9948416547417536,0.8665332727150353,0.6448993721866101,0.7697769413785259,0.7539985765552741,0.6581576053846081,0.7999777572046126,0.6467223858044623,0.7960889751262284,0.8093528221272515,0.9666639042656425,1.2829265336149234,0.8315962541474311,0.9739883606545239,0.709580065686684,0.9759188189213517,0.6599595230680437,0.6259042300894925,0.6216911121098116,0.6296241475277581,0.6434679166661709,2.0907178537925053,1.6328419888449424,1.2253978308976723,0.7094880784537588,0.5648687001593847,0.5050526789517125,0.6405692056197639,0.5663882654477936,0.5782582913589773,0.6173820658879524,0.8166262441884736,0.7612869564960401,0.613959016845473,0.5967804049897102,0.66631280467581,0.7536407658918711,0.616399271483646,0.5766957335360097,0.6151888441512097,0.594377612320481,0.6472766215691801,0.5960168799485116,0.6410977306500801,0.6943706949430497,0.691707988063533,0.7740075682382237,0.867916183795054,0.7834294590155791,0.798355753727964,0.7066681028895005,0.6598360942370044,0.5994554473158555,0.5478082550267229,0.547994215631279,0.5891193359487787,0.5940271440988674,0.6070373202515097,0.7327343232566196,0.6110205684892253,0.6914261803381387,0.6969843295953615,0.6999269056692288,0.5570840309730491,0.5617038444635342,0.5611313936585302,0.7534816653672327,0.688599748180889,0.7265527859931799,0.7794427700216845,0.8095262096048548,0.8294510603306438,0.9120935269053517,0.821935544884713,0.8243205217611118,0.8779999142203089,0.8873541229386274,0.8323482471185444,0.5044447652948517,0.5278454424812115,0.5066495824701756,0.8471279068294069,0.5507907648077702,0.502152008152833,0.5157957319337281,0.48999420713443703,0.4963123287849309,0.5157951745982239,0.5386639378075142,0.5916991777282415,0.6470505155261744,0.6184446041757049,0.6829542506642695,0.9755602300268003,0.8645377040530758,0.6042098177119677,0.5666075397649513,0.588686725041097,0.5701434403508148,0.6510334391088566,0.5897873539290698,0.5282170161748209,0.5460397031408716,0.6299863055100673,0.9429713560357924,0.8474032689943021,1.226379219989962,1.783798414821623,1.5796490831126546,1.0870279452671314,0.8944244564508408,0.7008741451814687,0.6977216689132397,0.6591189586248508,0.595142897565654,0.6244883634381173,0.5606747336063022,0.6226811580752523,0.585460126532543,0.6492266711329284,1.07900041192548,0.700986472246578,0.8212187979736233,0.927359815671686,0.8909073056354102,0.9166529024095301,0.9113026767742796,1.327964677123705,1.7507196497588648,1.8678864147224186,1.7422978225745742,1.3507563548584345,1.5408631756652573,1.3279367334624121,1.132518880301951,1.2016818656520167,0.9815870972234652,0.9595602138594275,0.8426507162656359,0.9205471937302074,0.8111434887406279,0.747101055318294,0.7412594614925759,0.7378019609056252,0.7291760411227494,0.7247190662567153,0.7815628887256699,0.786010664787732,0.7394266756610813,0.8011599615077964,0.8954789862114544,0.8828095892197553,0.8960086528502159,1.0568073848165846,1.1999204428680743,1.298274440830291,1.071396704142747,0.9872856716145607,0.8755504290117511,0.9003755454864114,0.9592587519390515,1.4063621730080154,1.15548082529881,1.1634552714785755,1.00121990258754,0.968325045356661,0.912392195362677,0.9671201096841104,0.9963925553693093,0.993797064318974,0.9359816536216727,1.0910627670869786,1.0432909011511728,0.9518019489648925,1.2858224751652148,1.3042144007774308,1.1322834614469326,1.3048631838750933,0.8800428236547939,1.0026108513056524,0.889240674267097,0.8313435319033731,0.9291656886499849,0.8784655179949751,0.9488440518383254,0.8569254345558145,0.8723010866783533,0.9004858548082868,0.915867055340697,0.7460077536471394,0.7394713890486861,0.8304476164312002,0.7696460907360848,0.7604956903697421,0.8080512626128002,0.9929492511025106,0.84421952867553,0.8487412268609421,0.822246640407586,0.7685292375691781,0.7603797963647866,0.774599576277689,0.8101110758366333,0.7742525883273419,0.8012077207862683,0.8508838403778032,0.8626232042802947,0.8129683827099772,0.9236873940940962,1.027534504293266,0.8390794578441552,0.9338289410344318,1.0340701142777393,1.1202169801703956,1.024027048279175,0.9552935063669139,1.570069474839953,1.5422672072936399,1.1797327097319543,1.0983056613839277,0.9755371485046309,1.0227405424421427,1.3206351676164105,1.0030584284481723,0.8880558539842881,0.8160442697651378,0.719315886150148,0.7019079716558243,0.7719057183681045,0.6999567595813581,0.7015447258024662,0.7192154867665821,0.6936020885116387,0.9842063954903378,0.8718866243498965,0.7176421436262609,0.7957593775862027,1.1231353957822239,0.6663814148287885,1.0316766093433904,0.9146735622420171,1.994269324796661,2.5941133855147154,3.4805136097320677],[0.7830788423558758,0.7871719092084637,0.9204493303945623,0.6093598946861217,0.766395451501293,0.7655893856310405,0.6844157050609342,0.7130461178494755,0.6742318275392989,0.6200806150125926,0.5947413471572018,0.6483345439191995,0.632393389559149,0.5914826009649894,0.6273758846627017,0.6385205927311303,0.6754901402034289,0.655296807140032,0.7098294546613779,0.7350540080337055,0.8320671745751251,0.7628934954454386,1.1328056183894273,1.2099305034492611,1.3701632739451763,0.9152943242128316,0.663854878688499,0.61276994107537,0.6011884973228,0.5810506390896897,0.6622633778253751,0.5920686816434488,0.6042047910065126,0.6248096093874665,0.6100071868897415,0.6238383126556137,0.6034832850429208,0.5795142241055677,0.5850337720536248,0.699326120459735,0.6354069488781148,0.6197375331942555,0.6944281120730252,0.9831642258136128,1.1684033680870183,1.3130237610936675,1.8559367211989761,1.2854404006218583,1.2148584086999181,1.5424774520746631,1.736568107550223,1.6335463672547454,1.9518617195444308,1.1631576470909362,1.846009071504932,1.2607592669867254,1.221218106286345,1.3957564589067526,1.2827180928802921,1.3185571531269877,1.120165866654284,0.997602036373516,0.743787660584812,0.8452267850671424,0.8378976746549485,0.7577464062402937,0.8801881765080903,0.7387384840943708,0.8557997386224817,0.8583329787740578,1.0127636216365732,1.3115280210373501,0.8753363930583715,1.0299256554395446,0.7741446666919688,1.0031254920135895,0.7500842662077685,0.7085453829983042,0.712107048512677,0.7298382231504063,0.7874136571119636,1.9957459825439918,1.5424039089430428,1.2757884380718831,0.7310500144037053,0.6341679846139242,0.5889149981077121,0.741145048626434,0.6550433065332694,0.6582554608086026,0.6963357840643792,0.8656313579555105,0.8069583551430218,0.6755333302581625,0.6562290256944596,0.7105990902528178,0.7964957969384527,0.672822265580684,0.6423284364844848,0.6817434709925265,0.6700899143059135,0.7352950995994487,0.6732764232903117,0.7256579330123251,0.7513794511182653,0.7659675935593113,0.8608227216415772,0.9379343624105251,0.8634203988191024,0.8371489705884974,0.7915501855532179,0.7211028350698571,0.6773461306854413,0.6168894883729126,0.6276410763735377,0.6825038443702771,0.6873414216416734,0.713106804199212,0.8264724238738744,0.6955017014226944,0.7584078652797303,0.761209841186158,0.7647338754832965,0.6196712968386272,0.6103388014836193,0.619012693072761,0.8222977272713705,0.7605687413678367,0.8020207224451386,0.8266524100838717,0.8716209613022072,0.8931373836562975,0.9253783354103222,0.844357331560561,0.8280166980486495,0.8411557404909922,0.9038519732066004,0.7651389652590991,0.5277294610951767,0.5518471456646544,0.6517077508200025,0.9292251484716809,0.6690987467027063,0.6053129861904283,0.5777723744449212,0.5683934486042934,0.5823944226247167,0.590973794511921,0.6240737378921355,0.6809622772798122,0.7221073702480996,0.6983715709882823,0.7692309931388577,0.9965834586768901,0.8826300908341933,0.6791077301603922,0.6423970708864463,0.6779373323319772,0.645507377945485,0.720575281544897,0.6323166443829297,0.5956153849777738,0.58109040796052,0.6411482141287549,0.9340021228757771,0.8180163863356037,1.153202141731907,1.6362983830988422,1.4663028090442765,0.9433667234775059,0.8368898774387137,0.6533667304150466,0.6785547390781903,0.6565685905701294,0.6280742895327271,0.6685450149225579,0.6347270489765438,0.6719359915267615,0.6235741770186756,0.6898529133035837,1.033296744331872,0.7352639240782175,0.839776054241352,0.9437267095113109,0.8961085343996464,0.9105102742245127,0.8877347705064101,1.3204286699306331,1.6412706636526937,1.8539952601708192,1.720687388063711,1.2986137859612639,1.5307475309556486,1.299521116668171,1.1337727939745117,1.2616359787717257,1.03319517901645,1.0409681682899368,0.9289085168114581,1.004865874966574,0.918183771951645,0.855211661793692,0.8481937243137162,0.861569016937534,0.8570639247733591,0.8354675231516213,0.8950254426433778,0.9142653266881338,0.8572829420689922,0.9080536639359728,1.0135428167693212,0.9995139872376526,0.9867125506198046,1.1582622484563416,1.3075383566936947,1.4215933319020029,1.1699049283805512,1.1486531466258685,1.021887658039988,1.0443561414382159,1.1050490257131975,1.460057622035856,1.289676315898583,1.2205742292051625,1.0930502026585889,1.0599839255880756,1.0071125518406707,1.069984850152715,1.099331177043718,1.0995318309286677,1.0396133840230628,1.1750926327404163,1.1246146804008736,1.048469753984193,1.3774985595776505,1.3824493440402559,1.2178589832293,1.3307916091180048,0.9757399952709586,1.091459798548741,0.9798358149743052,0.9404141920733498,1.023881933744838,0.9805260254143765,1.030447376788966,0.9640013858833753,1.0040352146786045,0.9948524383324452,1.0087319108314705,0.8517600209954076,0.8347886360259823,0.9044705705165038,0.8724375357692986,0.8712846199310933,0.8932793171872557,1.054635172870059,0.9498055347074076,0.9664058782634004,0.9471566088258172,0.8959228787001159,0.8876281183137213,0.9064289356185373,0.939219219619263,0.9014197701071012,0.9376736907331444,0.982408435837859,0.9921905803908893,0.936361433092144,1.049785105594379,1.1439860058466214,0.9694012511630018,1.0433798493717101,1.1529222940947472,1.2315660351147781,1.153980703782065,1.1090362276117176,1.7244355963798885,1.6919614562571383,1.3509191688079665,1.2661765775510936,1.1197699181025842,1.1476939454877286,1.4553679082369448,1.1883284822510205,1.0944250525888632,0.967355870764512,0.8446111605240592,0.8116984848579185,0.8778166493044485,0.8016040100341465,0.8191543998530747,0.805690818294749,0.7754825145916179,0.984940919044429,0.9312424571172809,0.8021487159046111,0.8465928242268159,1.1429377411933856,0.7324072280943376,1.0981841696059946,0.9632150631097284,1.82947741617337,2.41697221040005,3.370622382810595],[0.7321847609298635,0.744422221251892,0.8898928646271596,0.5724738139092294,0.7736821919464628,0.7442108340589701,0.6869189175937214,0.7266189068888741,0.6793187608617304,0.6493535458675698,0.6254931202314572,0.6645350026734658,0.6706227736266228,0.6198899964832207,0.6656084757744901,0.6737288370379745,0.707720282824292,0.6823591952189877,0.7509490500133842,0.7368606524021908,0.8457421905150321,0.8412555382643926,1.1511741948203826,1.200141718798731,1.3047119894570192,0.9035036836545292,0.6708667511104277,0.6521682310505079,0.6408295101817078,0.6364280257617975,0.6957743180870356,0.6448762726555543,0.652288702115485,0.6852731235674439,0.6678319753077342,0.6743562686208795,0.6706778290571996,0.6511174947200457,0.6561304192584445,0.7994185834846566,0.6922752765945992,0.6617528286206411,0.7780092511604336,1.0596461539166553,1.2156531294295603,1.3489145861309735,1.963706744953765,1.409177467817812,1.2965031661169772,1.640450663182627,1.8449042915987015,1.6633393547184678,2.096385111541321,1.2503672139241344,1.8654806066102232,1.2594003379016216,1.2445065830137885,1.4158325061943902,1.2783038946274834,1.3292546514018986,1.116529136754327,0.9768860184920144,0.7757857330810191,0.908512270805607,0.8734086356284227,0.7911288340170459,0.9037981354111373,0.7683241164642299,0.8904464387284468,0.906154587235841,1.0466355157494303,1.3923612924855522,0.9256975348951726,1.0848478649527895,0.8158566518111143,1.0568654588944622,0.7864882509563281,0.7615122697554733,0.764600147297873,0.7652017381942747,0.78935188450737,2.0432102664750933,1.5407362864406273,1.4355089409893902,0.8407031778815116,0.7022461629466374,0.6386774800331165,0.7801363322366585,0.7012543137985571,0.7041997731110969,0.7403659737424466,0.912387075611087,0.8550792167792675,0.7202196794606337,0.6981443849022616,0.7460641776771824,0.8399918747244762,0.7182990513239674,0.6825772257951419,0.7107807658645843,0.721700029732372,0.8029208529218795,0.7597767119302232,0.8089989611101999,0.8782358319368653,0.8669976162995212,0.9688903996608098,1.0382669172114714,0.9485940676793437,0.9213092516550716,0.8485280086955258,0.800816849652925,0.7244686283219745,0.6787140558242571,0.6622462405137444,0.7055111220656495,0.7026474052497219,0.7372123847485885,0.8500682190278256,0.7267416374356463,0.7883619097342524,0.7730013298113566,0.7679366361250818,0.636116472308705,0.6326279355509108,0.6763030980004299,0.8529351635074365,0.8347771037985301,0.8903577488073527,0.9398321369259842,0.9804091135426175,1.0279302104355401,1.089306300672934,1.0041891147868793,0.9836140850805116,0.9592563355434389,1.022534573519077,0.8687210192901951,0.6170215896123342,0.6501371437927866,0.6690573056262308,0.8971329185177352,0.6809753600565519,0.6509650164601927,0.647959545849376,0.6378244990426308,0.644661179736552,0.6556396001027438,0.6986225993599887,0.7179391977904471,0.7728398659741635,0.7263282733322327,0.8019449032845228,1.0004417724033199,0.9101036705522584,0.7248840414130419,0.6918520009534224,0.7379892730577176,0.7134737947697087,0.8071704174749347,0.7526954006288857,0.6874909960231165,0.6905205047323982,0.7734128855770045,1.0880273139723027,0.960284474938148,1.2817953978899967,1.751023738912301,1.538978586291019,0.9924788444789221,0.9748701269996197,0.7983393425076458,0.8286819730199726,0.8072708289811663,0.7632433786976293,0.7923462652015064,0.7149911724289277,0.7833493082957441,0.7612210077363508,0.829214632152109,1.157492222352114,0.8804321240373346,1.0222341565162945,1.1257582430149917,1.0716328349008508,1.075066268921218,1.0001372696099133,1.3632764458473785,1.6043097650903828,1.9040027174293916,1.9086804870586895,1.4887355606688757,1.6862859685941123,1.457325214558665,1.3126642537155442,1.4299731654541783,1.1579343642204216,1.1603155814604906,1.0179653210010775,1.0756961562974385,0.9944857752552999,0.9257090443425379,0.9059539966587127,0.9072669770775408,0.9014404022804835,0.8615371177446938,0.8937712353229144,0.9206415809702005,0.8648397367897878,0.8878873105351793,0.9814452914581943,0.9710123441591141,0.9582703293014314,1.1194051941754544,1.2691345482576752,1.3844692390492268,1.1442079945210855,1.1341270545268318,1.0179830420994087,1.0475056798905744,1.1376903604513375,1.459090390304778,1.339861280903363,1.2493607371819495,1.1430935035958962,1.1332775013192145,1.0888263210846334,1.1807542835540836,1.1875353710791168,1.184156474867018,1.145850916480913,1.2747065515921991,1.20665307727295,1.1504007526399094,1.506912846881012,1.4816802015987685,1.3054268660275263,1.3945006630725916,1.06523000335086,1.1957239725546376,1.086983602320414,1.0315442934437717,1.1191263294512088,1.0749860424392952,1.1204120406855718,1.05023703332307,1.0716127486825964,1.0654072033385755,1.0700673978743176,0.8981174143214394,0.8693152101508109,0.9257823753658938,0.883258963953192,0.8866666214754968,0.8954017494351458,1.045587122192552,0.9379679826729509,0.9627782168430303,0.9499086708172444,0.9199181779927367,0.9313371384955067,0.9650353130864877,0.9665826701768131,0.9234387627425115,0.9953326602800051,1.0273344607732326,1.0164867140298106,0.9849250608356421,1.121061106996853,1.1810217009477428,1.001999489953136,1.106691014028647,1.2248960233106827,1.2890676517186002,1.2000102618797643,1.1182119230682275,1.7599461451948741,1.6662984377980616,1.3374205813461668,1.2256355671363242,1.0909049779284938,1.1070984253080234,1.3921580637695439,1.1450054685180266,1.0796025747729427,0.9778673855563628,0.8760115053896457,0.8380569810325551,0.9385117018615303,0.8499313386117348,0.8342795248967259,0.844007613874189,0.8102056449674734,1.0323245644398367,0.9515878402231223,0.8073088345499295,0.8603971444791826,1.1645763081768918,0.7188834327647157,1.0821995539008418,0.9573116757312317,1.9007233322261297,2.5050317855137956,3.474951357861685],[0.7680577348138503,0.7914321010465153,0.951962244982349,0.6528977252563313,0.8518514707463629,0.806238077651401,0.7673460965930461,0.7993165574232032,0.7719316936564681,0.7469403301021269,0.7255195909439451,0.7450439531229406,0.7503485736304691,0.7091585146952252,0.7345576489852627,0.7268345203850523,0.7551151643858812,0.708566192760852,0.7533368876111766,0.7191498432694013,0.8143851987499074,0.8097659242040481,1.0944930612095738,1.1391378288154725,1.2699785282323757,0.8775837522413333,0.6466966417990416,0.6650771548695146,0.6632437690601021,0.684814100753102,0.7254500273234287,0.6993830089269738,0.7000644301632631,0.7156317655762428,0.6973093403271136,0.6926337560421453,0.7035143642292292,0.6778690519707166,0.674516780519718,0.8523051962252172,0.7184338075286931,0.6424484975801579,0.7692513487926427,1.0968928541248668,1.2406501643274321,1.4474740520305975,2.0388104722474534,1.4472138457632457,1.3849506236045748,1.7175954426895144,1.8810848061847618,1.821168987403162,2.2478448216676545,1.2579835731197124,1.8532485926211761,1.2266833316652743,1.1207483719689015,1.2991185472438596,1.1996670068547979,1.2376465683114908,1.0388403818866452,0.9162370150922599,0.7445548609120279,0.8624128074614471,0.8279216973443163,0.7549254194828829,0.890665711165076,0.7695023440409666,0.8977756600831492,0.9379752592397481,1.0828021170145947,1.4198694045869866,0.9516929000815971,1.085853185041371,0.8297852456698998,1.0571660096167248,0.7701459072721233,0.7521572124351464,0.7524837318812065,0.7393285395964155,0.7414470352813588,2.1329679955513896,1.6302371681279826,1.4735150741076675,0.9065046158965443,0.7370471343876818,0.647970340745404,0.7839138113312457,0.6985466105796415,0.7136350501844061,0.7457174785752129,0.9181227256954505,0.8798310166152615,0.7577420638597332,0.74799454427527,0.7961416940300208,0.9064299347168909,0.7782854250391663,0.7479771494695023,0.774434282858846,0.7801489149312091,0.8683926016086705,0.8322473051768354,0.886719074141039,0.9835737002399306,0.9570681210976538,1.0504107746260798,1.124559674115807,1.0350681180383101,1.0261474814458236,0.9262734704435932,0.8982824935106226,0.8080137387910009,0.7655298655443793,0.7392956501995775,0.7688372206239164,0.7433090870230953,0.7689226330029796,0.8664347141165508,0.7660610066379728,0.8514364007351443,0.8473390205555361,0.8563695866272967,0.7314518128632358,0.7309296401214539,0.7792278160738797,0.9213012001919766,0.9326797406421072,0.9834362117933754,1.04848827434739,1.0729602034103412,1.1262320250665172,1.2315380468477437,1.1336788005035048,1.1286080586917904,1.101909410091287,1.1497170468132776,1.0214258478419915,0.7445458701850325,0.7467758770845281,0.6596442332999433,0.872880866394251,0.6631706769491704,0.667262578267844,0.674334610328178,0.6727790350399339,0.6919068525153242,0.7220425681515246,0.7743686814205667,0.7900509769068667,0.8489647686047557,0.799472579462282,0.8729163940544219,1.0262524140585445,0.9697197446852656,0.7975731293831232,0.7647957891600815,0.810801837978465,0.7871624422765645,0.8954965076794806,0.8565838008862171,0.7485464948717421,0.7688743354167051,0.8512069481246495,1.1861929352668936,1.0769860098023236,1.46289274265376,2.012147016874647,1.7671867232980738,1.2253245850297558,1.1633223580685812,0.9601128781047136,0.967175610082312,0.930020807711054,0.8615917100650919,0.8852189702157929,0.7765825720356122,0.8455445683079013,0.8390496088405769,0.9240493456685789,1.282140354569624,0.9982892637994083,1.144342687248498,1.2398879844828539,1.195979686204229,1.179598365853313,1.098084487623616,1.442702086795586,1.7747659199932577,1.9949219551638784,1.9822814105571729,1.6028816315106484,1.778325384711238,1.5965933853934842,1.4434576344723562,1.4869716858690862,1.2351731015416518,1.2142862310040934,1.0740112484617228,1.124885602187301,1.0443741678757466,0.9850463991035591,0.9682585393612504,0.9582673139910206,0.9520592111130923,0.9268065852898792,0.9506908647441384,0.9553238011811642,0.9162762779385941,0.939897808756192,1.008142365271701,0.9870880924636292,0.9930399329414341,1.122173671741973,1.2572170238786533,1.364202587521668,1.1308070560498078,1.1095478546638327,1.0252956472582346,1.0431813422249403,1.1143780524772124,1.511879682746349,1.3491062346966798,1.2808450423944344,1.1700926235379447,1.1826448605179372,1.1381431863953118,1.2136589697323326,1.2065504174720516,1.225196664049878,1.163864031676305,1.2603122399097761,1.219517231306814,1.1762557230868802,1.538203311541917,1.495621518849463,1.3138105793330492,1.4826681327660403,1.1042610053125292,1.2323070427013874,1.1265065877813196,1.0709210707904737,1.156838648914178,1.126162697265602,1.1687198914556225,1.0886344369234566,1.0921113433515974,1.1373536701831264,1.13401801642073,0.9666011909296434,0.948833084837524,1.006706994450807,0.9450211860925044,0.9426850409750346,0.9578042904976618,1.09656620492868,0.977756108048924,0.994660527006578,0.9835669001391327,0.9642678676551535,0.9783163174033325,0.999547589816009,0.9984782957465919,0.9662955221101336,1.019652305839448,1.0493224671933021,1.0420162446144472,1.0228247188317643,1.1401677394355219,1.1853898693338065,1.018292222644411,1.1222068251089292,1.2128716440849432,1.254081080138359,1.1756533587100744,1.120648044017074,1.7211725593313083,1.6670958699597997,1.295359664310702,1.195506276154957,1.1032524738254592,1.118390290683461,1.3965503176012113,1.1404436697172746,1.059242692040804,1.012624489341412,0.9140727017574893,0.896036261181883,0.9949043847612494,0.9251256727577383,0.8982588358856038,0.9179416339851488,0.8948348662766185,1.153543622398551,1.0294449181065923,0.8880070008622336,0.9646984473679479,1.2563683848220157,0.7939809714220979,1.0914665027346289,1.0410640258716681,2.190492471059356,2.8681888423875668,3.8328782299851647],[0.9316830978704381,0.9526411940181252,1.1155048339019598,0.7819652408270392,0.9753721355599919,0.9200962430870124,0.8709518965719545,0.9025302144200704,0.8745611233757916,0.8697004196743784,0.8689878640575389,0.8735858324165023,0.8775110242788158,0.906823832093153,0.9311096602716002,0.9062766178372761,0.956431245654339,0.9689776820931,1.046787131246988,1.0565734743523227,1.1776849918084453,0.9377066251671318,1.4212328983892293,1.5572405712855057,1.6730025933368358,1.2647255688196661,0.9869668412034424,0.9343239068929586,0.8652152247799391,0.8095004520617528,0.9261871722538556,0.7981588640951813,0.8212302666390251,0.8296511985426249,0.810871331068879,0.8433295002807566,0.7681371159064156,0.7531149138770283,0.7524516922777895,0.7707990651498016,0.7597141405631762,0.8454948665867698,0.8540037794068793,1.0387766372476257,1.2132426396896703,1.3132044801544915,1.761104530580395,1.2681368061058695,1.2245093480818128,1.5506058484338037,1.739127190639097,1.6578479746077468,1.9132974173952222,1.2097570570659062,1.8950917038734079,1.3252497859409729,1.3444609839208799,1.53649605970492,1.3854788092757169,1.4368851894076284,1.339178583907529,1.2420214843384916,0.9803671798033263,1.0724559960430005,1.0576754826018055,1.0119640085903125,1.1810994083203052,1.0747962766362187,1.192674292784585,1.1892662198472206,1.3700598440240355,1.6134338742528833,1.209027450231328,1.34977475693687,1.1041188762165945,1.2385202508731412,1.0240815085895982,0.9517376207279385,0.9160440853166927,0.8940935622520232,0.9483042872199321,1.9582364591260697,1.5347796045855027,1.3706193932897524,0.808403974611459,0.7441282300189653,0.7414374805996973,0.8751740732690189,0.8739047804711301,0.8633740938987857,0.9573302982006366,1.1119835514022154,1.054030499725584,0.9477558787167284,0.9306918733257589,0.979270347241716,1.058823748321588,0.8919344441914264,0.8530640281518669,0.8583799609294386,0.8370998976552017,0.9031972227998022,0.8364577025599993,0.8956991559025451,0.9533195465484775,0.9641338548563654,1.1198253351347793,1.225731716986075,1.1643543189771557,1.094713336978081,1.02792241334817,0.9299377221828528,0.8746463332735736,0.8245641810966882,0.8890597996440667,1.0049048581408662,1.045480559441265,1.1565754979201595,1.2582187232555782,1.0890999466931353,1.1658307817994213,1.11905607812284,1.1482414279121151,0.9387964270916304,0.8445464019259336,0.833061964217423,1.0065251298948508,0.9867182964505709,1.0689129843636929,1.0927851607872698,1.1960370144160515,1.2555778799451256,1.2962353541528515,1.142882149676105,1.120188087131963,1.0519022015306652,1.2287037196929815,0.9112380645386139,0.7892783344522573,0.7869487855964058,1.162949243732042,1.2622310999427768,1.029202465456284,0.9133619172165133,0.7835201638352506,0.7914092628266667,0.8170542138048961,0.7884128553582285,0.8057955921248877,0.8752545595743715,0.9079979118535156,0.8805257792489908,0.9365402193508676,1.0711456553134597,1.0142775387990495,0.8586032585877805,0.8252599231727528,0.8603571907566889,0.8132837779109975,0.9007746843518155,0.7949045507582599,0.7329673467453102,0.7141055515960382,0.7367150437993997,1.0107250133524333,0.8878201253544745,1.3119629975554923,1.7815395838616872,1.7812943892519404,1.0766853558205407,1.070265919972421,0.7938253586901034,0.8210562963836616,0.7992376300077635,0.7649685210508536,0.8213046674071669,0.7672327753716978,0.8188068224170546,0.7524734816788043,0.8308689335727681,1.1392112735937425,0.9358968859949957,1.063917690849618,1.1433478842559248,1.0707252000074723,1.0033077351900381,0.9376144678613554,1.3346454266294714,1.6547391481546756,1.9002340033449656,1.7758765348966847,1.386122759753717,1.7385132504307526,1.6040645698633298,1.5148301870997094,1.6266814999280579,1.3961427492938407,1.396007112274473,1.3051278166729305,1.2902262362968233,1.2788629366489064,1.186102743572499,1.161996814182459,1.2184719541158775,1.2105856732837412,1.148944675668598,1.2028735085034614,1.231692368954114,1.1600172767664725,1.1539751786922854,1.249034413672472,1.2243587261191775,1.1771912998427752,1.3059883064715176,1.4457318462686648,1.5942595657959588,1.3479640188109747,1.4076545527431992,1.3247356171939708,1.3337292117300907,1.4009362843356397,1.7541514696398728,1.6682251672831057,1.4992795388924374,1.4416872426398046,1.451345240200674,1.3777284917033714,1.4359605605374375,1.4711773642359876,1.505076763590806,1.37640756022888,1.4632968499695027,1.4884772335957628,1.427607508818165,1.732473584538263,1.7237473323428452,1.5508300367846737,1.695338395940024,1.3682565096850325,1.387395619086537,1.3180560545243476,1.292218977538802,1.3140756717787072,1.306242030365499,1.311388403476307,1.2558712455516157,1.2740425363994636,1.288178890559045,1.2807396314009865,1.1718370203020356,1.1433859219871523,1.1646043130580657,1.1439342091089124,1.1744284215083585,1.1507403682589388,1.242034448812468,1.2034723012527755,1.2325025063632564,1.2374974767494686,1.2330088065603044,1.2375894157294138,1.2683696824865724,1.294308626206504,1.25254286414652,1.30444640714853,1.3602409826487967,1.3510608935588941,1.3312292749124215,1.45934614758352,1.4888666254642402,1.3537459687567575,1.4318250737100469,1.4848387624914905,1.5009752292554588,1.4601927484192814,1.450317446284269,1.9666317859182907,1.9800839354306046,1.5913307789426885,1.465874146602613,1.374034100801607,1.3360920222821453,1.6162630540512406,1.4501338860180537,1.398806547639918,1.350343817630522,1.2337952588977514,1.1456925563617961,1.2036583172662438,1.0903994709125115,1.0956395105343706,1.0626008441992576,1.0562730584080597,1.1959130481914197,1.1269787224621537,1.05043002379805,1.0738458900204721,1.291765696133861,0.9186506943633955,1.2197078399458532,1.1736178334327338,2.0945246890599556,2.7787399980199465,3.763124525593367],[0.9372593239615135,0.9528481738157197,1.1102169870561747,0.7664222659520832,0.9854833797320968,0.9407053592582022,0.8833073008454937,0.9363310337732429,0.8505556933308521,0.8042462561456502,0.781528733409962,0.8451828923498418,0.8385664234820802,0.7754952963875232,0.8170462599046986,0.836436282711006,0.864680665255184,0.85104428733622,0.8965822907655745,0.9500954321520193,1.064606214189379,0.910796109101461,1.3660908060700356,1.5067796649104417,1.5438779431369376,1.1017850706192338,0.8782441364850508,0.8350347291275113,0.8175469392086322,0.8046848156264012,0.8512670232491396,0.8205170506028658,0.8329021070475919,0.8409003075941786,0.8373887127871595,0.8326995473021367,0.8322248793278844,0.7686632849413768,0.7866869968684792,0.8466531704920653,0.7812683573187601,0.8078923524027355,0.8457784678439616,1.0183788769914306,1.1719509023128634,1.2309536017542095,1.7323590270930063,1.2716128377111406,1.1900118516285771,1.5215729530410746,1.758511551351044,1.5309393213517977,1.8536905385631932,1.317982849178842,1.9518673776570137,1.4024943717340363,1.4980876845773499,1.6891698454256932,1.4847811427810371,1.508901179073461,1.319635067178829,1.202798800022481,0.945405883567956,1.0547985277748895,1.0148990473973714,0.9579831765617873,1.0585009881204708,0.9485490086878102,1.0307285438798914,1.0319508502260961,1.1608769620383466,1.4416889882649466,1.033364804997823,1.215880486549796,0.9651477154655034,1.146842127109639,0.9722825109015444,0.9244830339120906,0.9259598819245637,0.9387820221186882,1.0275037915049423,1.9212712734606903,1.4890850666684339,1.5028992201485818,0.9216227386645535,0.8464972019413879,0.7981406531424867,0.953655356544051,0.8666572110693629,0.8705283342621847,0.9081490058879218,1.0454395565219696,0.9822700682979499,0.8797652013538989,0.8539602396938382,0.8758509739716699,0.9698127750914106,0.8726415498626741,0.8605215760798763,0.9055450445223653,0.9047844564403584,1.0056198118586448,0.9406846467201297,1.0192607804395246,1.0526824278204365,1.0747505019873338,1.2036262639179156,1.2499855039044483,1.182974152985504,1.1315343446864279,1.0785704643300782,1.000790616649747,0.9208298668422136,0.8592453891188028,0.8329221674103098,0.8795832901355223,0.8847712651001134,0.9329747430002705,1.036765831322003,0.8979787036039664,0.9293581857000262,0.9187058858916448,0.9181137624806903,0.7767130270575785,0.7809926400996621,0.8459888936317491,1.0412200804342464,1.038442846019031,1.1135507032696894,1.1368747514188136,1.1943004639121924,1.2412043882399102,1.2456096141235276,1.1709825978592647,1.1374034335435332,1.069191790797905,1.2181603474887999,0.9238491371782382,0.7506725694274606,0.7830939003395979,0.9711588850889679,1.1328054970037365,0.9026479066259431,0.8500146690716331,0.78798102339747,0.7952786622188032,0.8125233745133292,0.8278170392820083,0.8860216081682923,0.9200492290041369,0.9773293825836552,0.92384659007803,1.0098782578407253,1.100494384659025,1.028218525628783,0.9221105592290105,0.8811386364811522,0.95052522600794,0.8899106618112551,0.9958424402516728,0.904954947291137,0.8318815986761535,0.8039419537033542,0.8439201768619486,1.106327505654969,0.9868692068680471,1.235140567367078,1.541500398130403,1.4449595555834303,0.9834077168619196,1.0422082270013153,0.8798427954652828,0.9151565884675145,0.9071986155646863,0.8910492323715676,0.9369643049412042,0.8701005602360703,0.9308863294190125,0.877816275565638,0.9470331987702726,1.1745107776090005,1.0275551843102295,1.1229168598495598,1.178648465634834,1.124835964718672,1.077346014625208,0.989361668941745,1.3435888871759614,1.4904003491807256,1.8429116265678687,1.7994725280837718,1.4316776851903192,1.6571349735753091,1.4854219036170546,1.4142915412901558,1.5776175952356464,1.3614558389905427,1.3804416166791704,1.2686290007063925,1.3000610830744521,1.2707681341638901,1.210791031610373,1.1843582410700917,1.2138517170552168,1.2130575224106992,1.1709655126989258,1.2057918630698217,1.2381018070344978,1.1745224102842196,1.1781915219540628,1.2725037790426426,1.2607633025373395,1.2047155960727547,1.3300346042372113,1.4693674092935154,1.6360337631609043,1.3860501758960644,1.4353809718824546,1.3320561471922037,1.3429783647965423,1.4328106530451115,1.7371972896391725,1.6414464063091219,1.4659246334567753,1.392232569269855,1.4010626322487059,1.3499441827463787,1.4260119093036934,1.4217669823363386,1.4593131024289248,1.3682238471089752,1.4389325860550952,1.4135530460101309,1.3751390022068106,1.6924087874257572,1.6500930337600432,1.5029201559372598,1.5590848188460982,1.313909437228736,1.4154768119835206,1.319717934097197,1.3050730834819906,1.3660402883973461,1.3508465783381602,1.3900813243743826,1.3367245621191388,1.366453514468453,1.350517917222673,1.3330263820023616,1.1972740237081858,1.1688895100301964,1.192535857910857,1.1757833966602818,1.1921572556530344,1.1725062730758804,1.2526334293538381,1.2178386599373414,1.243048140949961,1.2456849296337578,1.2348679661478572,1.243794444591762,1.2649491469819443,1.278190916506748,1.2431737825731304,1.300720358919494,1.3380195314092602,1.3273249812893522,1.3004810944142453,1.4132686057739408,1.4510887365424188,1.322081368511572,1.366671055358147,1.4768488334043428,1.5268793508474054,1.4759651743989795,1.4446095245658337,2.006493135749705,1.9472440072058257,1.6309845307826731,1.5088105764487896,1.3868237171376387,1.3686500319026969,1.6350225183803164,1.4806440087614547,1.4440881136510617,1.362283081474053,1.2167080646987916,1.132346861271896,1.2032385254544704,1.1105462063365088,1.113078015028765,1.0969630340675547,1.0889039165737893,1.2025171803238475,1.137302054346913,1.0670054867368572,1.072799621511057,1.2776311417449304,0.9264526079508351,1.2610147267498852,1.2043611080128238,1.9373531487455453,2.5625676315718806,3.5809145307218517],[0.9737319769160449,0.9809601839444475,1.1046883825774505,0.7968207232543985,0.9817783374882055,0.9672748558764207,0.8981918130076446,0.9410606925343931,0.8690686071138403,0.821404563646221,0.8055556522545733,0.8770172426275905,0.8539901005888773,0.7887669189917927,0.8323933929666244,0.8624899483444747,0.8866175575832895,0.8790370440254479,0.9140088149986353,0.9799782340172284,1.0706735078510534,0.9364311143379156,1.36082589762298,1.498383831431209,1.5626639041773231,1.1108276806407882,0.9043395888111795,0.8562177601809274,0.8538462923902095,0.8236967473515329,0.8716581235508934,0.8335146597972919,0.843851808771959,0.8482066351697394,0.850885818270396,0.8520436375645075,0.8316047884297547,0.7835870765806453,0.8097770345540397,0.8515503992369594,0.8177434745375801,0.843079919266906,0.8694250613188215,1.047481122698078,1.214372638375441,1.2918380642020197,1.7632777083000073,1.283871451283187,1.212428659992445,1.5198860722465297,1.7481119872097353,1.5497529304831685,1.8184091366277508,1.3024938990595094,1.960760720005856,1.4385754123898644,1.4981412904734404,1.6937003550429743,1.5049232529481302,1.5236720156629555,1.3222222047910042,1.2248932798271197,0.9708125562724884,1.0500995491043672,1.0344602171254709,0.9700295163383732,1.0698644571003604,0.9607832590657476,1.034667302873236,1.0425744090764693,1.1689091235658478,1.4255462674014043,1.0500734438750203,1.199837138104093,0.9782857550790878,1.1065513419147608,0.980590864976783,0.9288901192168368,0.9295310393544192,0.9717385734196802,1.097906822704528,1.8162635458347796,1.3765668787751262,1.2969172965226086,0.8638650802335641,0.8703443233972126,0.8209654566838014,0.9984189510841844,0.8888893768929292,0.8839509858026083,0.9258632149209144,1.0379102441193189,0.9760442590006414,0.8728458194070144,0.8652995373733999,0.8958587893322552,0.9718127630625681,0.866210121942337,0.8421417694971333,0.887770201935782,0.8730322149020211,0.9107564875563128,0.8550207961740269,0.9509953334843038,0.8970456690218875,0.954195564559836,0.9967133193235461,1.042004350850459,1.0059427459798815,0.9794958122927445,0.967206859015421,0.903610648563535,0.9046835126694976,0.8433686420189197,0.8466022982535412,0.8896987224162362,0.9008382939825715,0.9230531275086419,1.011044713068717,0.89443421973422,0.9158200021542017,0.9223968715311559,0.9093634553697673,0.799640652435164,0.7967295646013368,0.8238693602149616,1.0193216450575986,0.9429253391640022,0.981351163939439,0.9707851679403517,1.0170695270072407,1.0101908267242465,0.9771560455409167,0.9542289454640015,0.9488457469487914,0.9024474045682668,1.016565743828238,0.8426023954311297,0.7748415344293321,0.8043791860888365,0.9435401907321064,1.1465647046321181,0.9046255708016286,0.8606031214270068,0.8106483802636127,0.8078725224416743,0.8260420687357561,0.8287453264731987,0.8612992555784669,0.9138165038306448,0.9244564436277884,0.911147142896178,0.957117284569029,1.18320763486528,1.0666929563272232,0.8824505067147405,0.8664455576797473,0.8943732341266795,0.842230210467489,0.8852466192630487,0.8246603819001038,0.8127151704156523,0.7929337967233567,0.8109252540499026,1.0065679584172647,0.9342369324008865,1.0853396464623037,1.4131936494903719,1.2438408286872116,0.9097310821377868,0.8696917088555154,0.792413167200425,0.806387383873438,0.8018457695366036,0.8070089809426169,0.8355009013038508,0.8320010720264811,0.8540013055498519,0.8049890941251975,0.8315713970850994,1.047155909617869,0.8786898772143835,0.9245503269899435,0.9673472611262098,0.9488128512927766,0.9639453841547093,0.9525758633000722,1.3844720692670163,1.5842284425522577,1.8486833837959435,1.7178353139937423,1.3347850564458752,1.5088346534671762,1.266925240786305,1.1491834336732842,1.3487148775818243,1.1983147170586803,1.2049820345857765,1.1151051212799068,1.163713093973004,1.1208990645411796,1.0867516219770743,1.0722364050902478,1.1033895805041614,1.1061892056165001,1.0955570215143169,1.164125130760962,1.1761472223724414,1.121855517633549,1.1729204225678025,1.2751996677068267,1.269429960959314,1.232360076121485,1.37710447454014,1.4973214188026405,1.67990167021754,1.422913095473293,1.439039574020976,1.2937609121679856,1.3045286590417307,1.340928041881037,1.6635597242678175,1.5075242049607325,1.3827998159702495,1.2381393049781622,1.222222832721337,1.1870719947166903,1.2617477031011997,1.2656093365450372,1.2705378106813452,1.2364765135432805,1.3376929871540624,1.267320311709605,1.2104049902011491,1.467911771510069,1.4907384086226416,1.3842557004203506,1.3493803678452667,1.1621736055850056,1.274721272679957,1.162332682993263,1.167959056580307,1.225533638697844,1.191568977177142,1.2357300249033565,1.2040505582821583,1.28579041963074,1.2133540605836697,1.1975743340252976,1.0993285533608412,1.0755649284790159,1.105240823101992,1.127157557395201,1.131686248256089,1.13409964397303,1.2710371792368755,1.1987354876792875,1.2024825268800152,1.1892819184560615,1.1413983139210713,1.1384224222723438,1.1468593680827495,1.1694754063126815,1.1508630428630835,1.1696113606103404,1.2105765510134954,1.2218747633107185,1.1735426347813176,1.254423960351376,1.35547852472048,1.234076983640915,1.2248226226585606,1.3822491519658442,1.4610556596428275,1.412916619330504,1.3930566444313073,1.9641975961769769,1.910020081790563,1.6310568486531218,1.5391705856040663,1.3834903689232514,1.3865314710612877,1.6645337507715858,1.4891054874923586,1.4398263637006719,1.2979449221167219,1.1291733049532873,1.070503008552066,1.077054196561689,1.0266230706526371,1.061167797955213,1.0193459073679185,1.0130980054427394,1.1252090680421754,1.0930939502969643,1.0355072068992686,1.0347149025953886,1.2121967241241396,0.9441674149004827,1.297539311931641,1.225049165425752,1.8570980669078059,2.4173744590597805,3.344584597663682],[0.8647155786419882,0.8761002195023523,1.0228438420653028,0.7479541256219743,0.9504910725502638,0.9476252675950545,0.9338216519269089,1.0051149504831367,0.9306043202407669,0.914310774075467,0.9051592699524474,0.9812073649200304,0.9763548765833542,0.9201797259274859,0.981013574806348,0.9920023947288097,1.0092051003724725,1.0253481563372402,1.0726192917459714,1.088007650868405,1.1645265428239386,1.1136259809257467,1.3969415962701162,1.4582383579837301,1.5220133421831776,1.1818908564948967,1.0446707523553407,1.016380991846136,1.0072119355949734,0.9819876077258736,1.0415989562288788,0.9857870017521221,0.9873616716228949,1.0254693420873793,1.018638014661809,1.019930714239902,1.0282396831537113,1.0212396431822692,1.0291111676227893,1.1079312971640576,1.0244626455808195,1.0153574502487321,1.0634129138264778,1.2370124635474065,1.3408114659721435,1.3951607274432976,1.9489180420415315,1.5380301201635183,1.4098484051311182,1.723949449866518,1.970809591518192,1.6523639274256177,2.126816059133451,1.5462873613206125,2.145732649949086,1.5903309071098681,1.6412294626462016,1.8128469735227093,1.6378004370600852,1.6109939315068844,1.36744844272008,1.2614735187763122,1.1203787652502595,1.1810310418988246,1.1731171778952472,1.1035369561891553,1.1776697982505144,1.1022347401574293,1.200082749953216,1.1735918605265152,1.3298777957102255,1.663196811000683,1.225195049725701,1.3459910488229425,1.1194744820705855,1.2626727230694619,1.1108905925381931,1.0891107761592742,1.0968023665075235,1.1441417065301467,1.225109989378277,2.0137592520924126,1.5855430669918666,1.6742484216424558,1.1192288454882793,1.0654049379967208,1.026102978200511,1.1582753444025642,1.0602725876528556,1.0511216763507536,1.0897661594869739,1.1899390602989002,1.1594320209479585,1.0570729451059657,1.035091127621907,1.0461713703415096,1.123792387300227,1.0347983035477957,0.9809084426624582,0.9973064732404102,1.0236952541081956,1.0484755734830242,1.0534437916702255,1.1093484277088599,1.1515228051649415,1.1575334736154672,1.2430955024007837,1.283315809440571,1.196319733569024,1.1524511154139832,1.0765931145695289,1.0547742612221673,0.993781551887419,0.9556057276102532,0.9551011941986683,1.0013493592468987,1.0205667150682896,1.0608987989632588,1.1323038870751407,1.0497106668533998,1.0776721390934174,1.0548055899593773,1.0357186659649202,0.9154601671909924,0.890974130227186,0.9374918782773473,1.0409950818523213,1.0430562301837574,1.1406020535992862,1.2085467060550688,1.2429165409123166,1.2909240926769803,1.3106575617802378,1.2706546880386675,1.237624191755954,1.1514819109589933,1.234890092675206,1.0560236878404616,0.8982760464584173,0.9638339832076123,1.0487658395347903,1.2233199175310692,1.0362516400993096,1.0237489398636925,1.0151487943469428,1.0026060414882576,1.0014092262942311,0.9809042549050728,1.009963042753301,1.0033429833432748,1.0333549717823265,0.9934619671621616,1.0444004134476486,1.2190385653429332,1.1365608054636824,0.9908578025059557,0.9802433130786988,1.0133351877630274,1.011557405294775,1.0844653690415977,1.053159080096891,1.0272296002618977,1.0207728338547133,1.0737894579449918,1.3063135877416385,1.2042757846944632,1.3657374032986183,1.5894446027466531,1.4619615799109242,1.144219122870195,1.159882868692661,1.0639546810994431,1.105965526078541,1.0975319753883954,1.0770325390371993,1.099475031036874,1.0471235777543855,1.1025377640229015,1.0622768934317905,1.1412789119388678,1.3384553088174478,1.1558999287293537,1.2737635900956974,1.3453220079262351,1.29990660024238,1.2907984711543092,1.2297341105128488,1.5077332178420504,1.6132840099050862,1.9775916734720307,1.9945488600135302,1.6120822220778466,1.7636364918040468,1.5545565909861172,1.488680023238054,1.6530712835533614,1.421643295679374,1.4307516493908259,1.2802601657510806,1.3160181048335182,1.2501467318418968,1.1870641840963185,1.1540563668069292,1.1305569515616847,1.1325903864075142,1.0864434184214813,1.072409569338841,1.0985604963203348,1.066867864430246,1.0589063859310741,1.123470938556054,1.1176621372683149,1.1036560863348275,1.2357092959947285,1.3625573649102614,1.4409558136114462,1.251133800833766,1.2755862815789374,1.189325357658778,1.2240720042335012,1.3472084003274298,1.620840301706503,1.529637537862667,1.3869932466114625,1.3368265236633912,1.3833737204574763,1.3547525320005733,1.4791773310281917,1.454441654630244,1.433182655278463,1.442134471435693,1.5743694813583504,1.466546906926694,1.432648668717117,1.7975003927686277,1.7455437486685454,1.5604610887193855,1.5820387016954918,1.31500894163725,1.4469581786492127,1.3824406265468292,1.318897232918969,1.3853739492196722,1.3561593264228187,1.3993864182875642,1.3471487138657658,1.3589608179699295,1.3114529404156687,1.2960144870119787,1.1280728070406854,1.0889132535374233,1.095825717697511,1.065506824466566,1.0900021107258193,1.059114012796603,1.1189975503320309,1.1081510871220566,1.1437701076665352,1.1474438559022497,1.1510054413752966,1.1764011272190502,1.2130184419061805,1.1825701304780245,1.1313802003566156,1.2462172667491838,1.2398731205820142,1.2003360559642844,1.2089570108615255,1.340535766170203,1.3281826147441376,1.183276106327699,1.313351779321767,1.4367198065846403,1.4282314890936871,1.3622637600577792,1.2843516580144283,1.9086236059450967,1.7546630137274823,1.4796096321644177,1.3451496447033577,1.2216375193943199,1.2261759415453135,1.466850316905967,1.291235664425555,1.2501958649153786,1.1640193807453079,1.096452182592231,1.045946743140374,1.179383522943243,1.0735515108056046,1.0465461578582786,1.0817693963860515,1.0511308597785123,1.1987946142585226,1.10838992436421,1.002451681716036,1.0145799976564902,1.222448110491944,0.8796512224883629,1.1784632103634043,1.1209265938403326,1.7617800715554905,2.3373950287366503,3.355656934611635],[0.8547706594977414,0.8193179149575363,0.917775746771319,0.6352599479241919,0.801237898642559,0.8192765165077825,0.7552370179519275,0.7989511505358243,0.7446126444522537,0.7179583607308434,0.705555306869469,0.795367357734749,0.7881532973412281,0.7173104340544201,0.7836202585163299,0.8407200430739593,0.8725333018216749,0.8993819913540384,0.9426754135531684,1.0340780549183552,1.1206738665806812,1.0294225963292325,1.3859168744940336,1.5136156352390404,1.5867231759619842,1.1519443385502608,0.9782736431054981,0.8960581250594309,0.8855540689805668,0.8360689846366867,0.890124389726948,0.823586844642561,0.8324936997757855,0.8797394476623305,0.8981798609397316,0.9028707600466318,0.8947232164726482,0.8908633618307663,0.9215840554503212,0.9854437226639874,0.9496265769583158,0.9580659502169967,1.0060389316168792,1.1780153060596845,1.3192890565288553,1.3912219593923993,1.8400936897702007,1.42804986717485,1.3426969517386353,1.6549410829096745,1.9118303958688345,1.6836646343724782,1.943008297074832,1.4737383934259636,2.0812614710067816,1.612942074475811,1.6749075704117282,1.8618820995518146,1.6662913013193255,1.66576242064649,1.418875869192452,1.3270668421649259,1.0728948654350374,1.1257785545838042,1.1382050270553696,1.062651315373755,1.1084955894484267,0.9999018206908079,1.0664957059046878,1.0257534334068563,1.1604960187314413,1.4260580191696794,1.04551109446457,1.218608715526867,0.9946418396747071,1.1403135224790142,1.0454385915875994,0.990189827777205,1.0108750794573267,1.1007198111373822,1.2571484127873114,1.725878732946213,1.3181550272685179,1.2685242790579165,0.9556432450317999,0.9905778586596452,0.9434788329777036,1.1100639702651607,0.9730567502443088,0.9536574221356036,0.9876144867859006,1.076536167977572,1.0023522165962393,0.8687429863239543,0.8426582718248796,0.8538030597948385,0.8999877983005854,0.8228208930794177,0.7778339964015404,0.8190790946820523,0.8287134999972183,0.862705461405919,0.8446667853781216,0.9300943180785263,0.9273796531680428,0.9558915323128951,0.9836443120976296,1.0374809018139404,0.9338305144305497,0.9113941409214124,0.8740999793182969,0.8217091965770377,0.7878742590536869,0.7680992555322649,0.8021193701319942,0.8546260370407379,0.8930328038683213,0.9304797179611644,1.018284449644064,0.8865569410384668,0.9014644720675932,0.8824972503814421,0.8649892750757553,0.7305900383526989,0.6757511817395586,0.7214620841820357,0.8821263733013829,0.8454739309060056,0.903009053787753,0.958216455081578,1.013699955752115,1.0375538562321005,1.0199476201530084,0.9950329101341351,0.9975459800717122,0.8809844139131107,0.9306783212188189,0.8234053211813496,0.7624205061403372,0.8320148072593885,0.9686469910789755,1.221667069918409,0.9660847979106051,0.9129056884560339,0.8981602664780826,0.855011711829788,0.8425902641286553,0.8246675307948521,0.8156259484948484,0.8282515159932395,0.8261043015664896,0.7979424978209623,0.8670760806478711,1.145912274506524,0.9844213440893248,0.7966240349272461,0.7892676297727439,0.8212942770646737,0.790967532832084,0.8463021770658267,0.8297621438557309,0.8492450578918533,0.8597273102598639,0.8995471958136326,1.087081466676118,1.0406438283443773,1.1535101377003578,1.379070771267537,1.1892758155886491,0.9996901832683199,0.9355311431175639,0.8640727937069297,0.899815684249738,0.8798190526633386,0.8763866005140214,0.8731286770405172,0.8808324925521018,0.9153953185561773,0.8849100287120589,0.9195737720211485,1.0807209750398994,0.9142610085300173,1.0115151570467373,1.0941060523153079,1.056316573958734,1.093953353251653,1.0666396427750926,1.507903142412211,1.6485059510443167,1.8862857959836534,1.7714283939288802,1.4417084661609638,1.536024141566428,1.2977483566242656,1.2091888880632873,1.3998080955213161,1.2198937613766994,1.215788086521273,1.0780065814902438,1.1035344909834446,1.0478037521481314,0.9905825141229333,0.9609642051865007,0.9701521736609983,0.9865629747483149,0.930691108263922,0.9624020965948733,1.025096561257015,0.9803026414571373,1.0029946108638295,1.1221856597918247,1.134847742977245,1.1007698046734682,1.2906904235061183,1.4478892903010196,1.5267303777283219,1.335186171487055,1.355732970927528,1.1919834774540448,1.2299206246535017,1.3126143452585999,1.6125720937839796,1.444415850066759,1.3150037588367693,1.1973669401589602,1.1889280117427785,1.1475179819708898,1.2856985391825662,1.3026088017262643,1.2151757848428926,1.2818721483755722,1.4448722628026163,1.3241760650122152,1.2526211112029042,1.499227680329963,1.5830450607378406,1.427001106241312,1.3383923590669393,1.1486632982229912,1.2689938947868076,1.1913409149986325,1.117333964723811,1.2020397779402003,1.1380421172216695,1.1720643598444416,1.135787119516433,1.213257190653232,1.1039302402824238,1.078720907007748,0.974453978737446,0.9499992216955587,0.9563225296939954,0.9794794573138214,1.0024691979780116,1.0062018357774158,1.1343625738521783,1.0861116791182508,1.1140747089774476,1.094830776494804,1.0368789462993462,1.0214405605084955,1.074066603916887,1.0790040373865941,1.0290333891907049,1.0953016859992186,1.1362236971230233,1.120990742680708,1.0749232732342893,1.215315749012645,1.297484107764423,1.1279882698493127,1.1833794105116762,1.3845231255721355,1.4179787149349992,1.3472247492471305,1.2729001369294661,1.9196867209517674,1.8063772745743967,1.5808796305441715,1.4355454462954338,1.22605541250686,1.2070535709469024,1.4674998760743148,1.293869269581342,1.2869699914765005,1.0644857509887664,0.9730035473524851,0.8944510847604727,0.9825731863873228,0.8910045910642638,0.9056864794631987,0.909999761969509,0.887847265186096,0.995662907984279,0.9393509484890064,0.873872039058136,0.8670309428086794,1.034249657953721,0.7906821430441321,1.1632459352987896,1.0507600654352443,1.4487614497087402,2.015754403472719,3.1765888431220426],[0.7081137671159532,0.6749165517057517,0.7689126976730076,0.4931124375633856,0.6543636946119112,0.6736645783568239,0.5905311515442777,0.6317505820000524,0.5881222526637762,0.5559688256484268,0.5354706803279766,0.6066400401120967,0.5990715080394533,0.5421372621859265,0.5933165066687389,0.6153311447028211,0.6565093718981525,0.6484991812864063,0.7207176304781423,0.7578320952652585,0.8592939853717719,0.8168900612666473,1.1855212993396462,1.2592224143378457,1.3789853718027287,0.9307089818801193,0.6981380545616653,0.6392937817524179,0.6193718114513466,0.5967344671296123,0.6510482453656947,0.5942851440472745,0.5999953794858139,0.6347051914999864,0.6356526660037056,0.6513044835430841,0.6360373600385173,0.624926258358816,0.6428855216296924,0.7508533933578753,0.6885286721396601,0.6705405861541867,0.7613702326384605,1.016125705922742,1.1855399470723729,1.2786934301831803,1.8644075209226978,1.3364310394731804,1.2175212312923782,1.5745945030830795,1.8133051301265406,1.5565367140200028,1.9208380493257957,1.2654443778566897,1.925737494303522,1.3663214149844898,1.3814419389302577,1.5515837172593123,1.394204208689841,1.4278627658239194,1.1753137222592949,1.042163088300422,0.7877289664313458,0.8970826646597237,0.8845572518633112,0.8021962063364415,0.8930078216584968,0.7539553533127833,0.8595577028992489,0.8429977566321769,0.9891207161062623,1.315011528919986,0.8712790082114562,1.0428601809184335,0.7852106885587684,1.0182751744231806,0.777963738163449,0.7378230390051419,0.7482749940874092,0.8042063268467445,0.9045536419325017,1.9137806618904512,1.4673687883111537,1.3026625393814468,0.7885869163626764,0.7162771269883345,0.659862281339561,0.8078434752408349,0.6927676187903817,0.6772484962042145,0.7179933777575528,0.8859566878857437,0.8052784846791817,0.650714907884927,0.636319689793032,0.6853660528152388,0.7551550616636987,0.6412217930181885,0.6053587508282597,0.6524568965077617,0.6374332661064787,0.6951194673446073,0.6501465552300051,0.7289000992897694,0.750655924474358,0.7671409355269965,0.8479043124786094,0.9190108613579993,0.8010027102684932,0.7627159087927011,0.7132735930850655,0.6584602205355148,0.6097325234533456,0.5775911680281436,0.5955589777426586,0.653973119824322,0.6794376241400788,0.7024853405228247,0.8187216629058852,0.6717470034135058,0.7192921310054149,0.7195046450050263,0.7062092775654778,0.5599372289820931,0.5059400565429709,0.5423890424115164,0.7308115725089884,0.6842564123585532,0.7440234172526328,0.8023798975761763,0.8785436158358617,0.9160070043673006,0.9186070855558167,0.8550893809401269,0.835795287444194,0.7687946168464475,0.813484108802877,0.7142061085277338,0.5413546706964557,0.5874434423479948,0.6684456322895981,0.9560428473553524,0.69527341514817,0.641457980370671,0.6323883217760708,0.6034671844397309,0.6059223758014005,0.6017228845367262,0.6039822480896693,0.6402011268609599,0.6541928048169371,0.6265572943642702,0.7005428911764329,1.0078301808692167,0.8573987302521404,0.6185472514974558,0.5870111708425289,0.63762486417853,0.6094203284003865,0.6907705542768067,0.6284412453725577,0.6263709251479719,0.6262907006670768,0.6929745673462941,0.9625144202294618,0.8549768823494579,1.0956936812911628,1.4553788752186845,1.2587392576205205,0.8662612038249582,0.8011807139717761,0.6662906458391273,0.7079826370373812,0.6838119027139733,0.6566764311803976,0.6764478418374443,0.6414367841322821,0.7075439645661229,0.6648840232021227,0.7240947599293691,1.0031881885156124,0.7462255098638094,0.8713311410793759,0.974661728763237,0.9209637283607395,0.9483170189209044,0.9023676250775025,1.3645465743952578,1.555591003651174,1.8580739919527873,1.766530163122789,1.3635301374014293,1.5352332239094477,1.2690675861553316,1.1432781021550111,1.341824742066801,1.09649533160861,1.112801561104074,0.9646325486754014,1.0076534075597665,0.916400491437367,0.8382624058991284,0.8121350767978607,0.8112618971971018,0.8176075613985974,0.7517021283442384,0.7817482863965208,0.8423450749947098,0.7957726146436981,0.8247738767078132,0.9397241057264022,0.9582044724258031,0.9404478648267539,1.1382629410566978,1.2970924663057877,1.3589440092772813,1.1844016255644731,1.1492283316465985,0.9896196039734888,1.038525710487552,1.1600667747879865,1.4679227649017508,1.2991900237244989,1.2216266072881328,1.0985145790282755,1.0698958567354393,1.0208995577938014,1.1631567603217696,1.189961302159827,1.1115635920472673,1.1594503765283173,1.3486826740421898,1.2339273410010863,1.152820629445803,1.454286400721241,1.5196889061513434,1.3253052732273791,1.3139720486965563,1.0328107776511608,1.150494597738538,1.0668100866506112,0.9824949881027005,1.0651300092731895,0.9978280499437856,1.0237431530319356,0.9782478530415882,1.0485901557438884,0.9365617243173772,0.9312971924070688,0.8023761334650507,0.7721835791748881,0.795573785470294,0.7938818285281554,0.823308956963821,0.836172490759267,0.9946415242617497,0.9143386553646482,0.9450938537249856,0.920988214154811,0.872292559534251,0.8620729532108177,0.9158153724172043,0.9170468793992727,0.8580035205189667,0.9445173674305387,0.9835926018696691,0.9628940291330677,0.9225496299265219,1.0926274534898608,1.1676745828699697,0.9601663621497682,1.077679845867626,1.268276978892013,1.313854415111964,1.1977124387682574,1.0578339913226085,1.7239490523439072,1.5638966416857665,1.3600933722578612,1.2261285374056625,1.0324497885870114,1.041133732997365,1.3040040447298287,1.0737746739616405,1.0200809917036393,0.8172735230163733,0.7809698373608659,0.7311714982224505,0.8627176484626908,0.7248316008466503,0.7264931866181201,0.7412328420045153,0.7050894104072092,0.8415234726610505,0.8051703505002473,0.6848886551141583,0.700721869785455,0.9898795380627546,0.6303353137813337,1.0351469503467812,0.8997674704669065,1.4355741895521394,2.033587661742712,3.154722091940985],[0.6777884289085995,0.6529637195846116,0.7614831525702956,0.4807442119119071,0.6749290064980805,0.6736141702114459,0.6161806980313208,0.6613579416088609,0.6063585173586675,0.5850131642815725,0.5581469527048738,0.62219028777333,0.6238411976321373,0.5677651571944028,0.6279118027073355,0.6468268539258666,0.694648133238005,0.69675321899689,0.7951743471276222,0.7905687176034308,0.9141505764131727,0.9272033316239762,1.2325238019696223,1.2905297982112718,1.3577987696583314,0.9626892526347353,0.7306635867490733,0.690259676015667,0.6697004738503013,0.6372957181016063,0.6956460537844891,0.6383743626327852,0.646557225283655,0.6885264252907235,0.6829359672071759,0.6991089466600132,0.6874552346997223,0.6968167178468645,0.7099281173200004,0.8479282180410239,0.75931373146724,0.7460462219672869,0.8792540187373734,1.1230331360479087,1.2686436609822314,1.3500857356503624,1.9962179525985169,1.4981347264729574,1.3177649304220873,1.6714580418984741,1.9304627011395885,1.6036626966891205,2.067161535432333,1.3404488243052857,1.938890430837801,1.3811368712753664,1.4140180416665586,1.5516906803913342,1.3848398681433995,1.4579933526157045,1.1967317209517814,1.03517148017419,0.8437985605474588,0.990985674972192,0.9643683420165049,0.8618748039078343,0.9705456095878578,0.8125107437437796,0.9085282599392346,0.8975918482430318,1.026212154391738,1.3930000640622373,0.9263171193357526,1.1022922980960397,0.844652380112696,1.0843240261078,0.8473635869095606,0.8104475140825425,0.8175020783300291,0.8492845052103846,0.9081032259788768,1.9590130562285655,1.4638227686472807,1.4229578079545586,0.8519010701349451,0.7520442503204127,0.6991260061319181,0.8232815787900298,0.7561482715372385,0.7501958828311243,0.7730687779710026,0.9326509728187778,0.8598669710534997,0.7017478802538734,0.6800333837372173,0.7218790197363972,0.7950151640252484,0.692151724958323,0.6388889699505574,0.6698076085356727,0.6894471536144167,0.737622469219087,0.7158990120341071,0.7745684786107356,0.8279957826511117,0.820004559214775,0.9132741963275915,0.9686139263209397,0.8534061713199091,0.8161593437029883,0.7525202569338952,0.7048474744353231,0.6523385958604682,0.6277169791061394,0.6218359084987714,0.6791557887147119,0.7015586004283688,0.7516257719904008,0.8698861639733357,0.7203782931870611,0.7520138981745195,0.7430091084015787,0.7169438798123406,0.5780452183638497,0.5526344899896559,0.5977885948606876,0.7763874418603669,0.7217179844824128,0.7981632638052156,0.8646046710884142,0.9231561231546495,0.9756342566433779,1.0029709525915809,0.9456389463220777,0.9183698726694062,0.8538327379315721,0.8898851376297825,0.7781839615993822,0.578211802895185,0.6384012783054757,0.7084140064946292,0.9361046488739261,0.7232974224047493,0.6864347316545865,0.6960523939631731,0.6528516647638177,0.6391906893445373,0.6377907122577855,0.6587392270901391,0.6676962331126644,0.6915370777179569,0.6514437700665401,0.7170364889961562,1.008442171742707,0.8805736709234686,0.6530483848465861,0.6303166440009613,0.6803791319445184,0.6627039477092219,0.7479447730468598,0.7065971171552384,0.6924593043016734,0.6971803357613496,0.7867287202831852,1.0669994870903012,0.9337097769849346,1.1798884288351366,1.521209219934707,1.3036726961006022,0.8887479305438174,0.8738167532166025,0.7395547400757264,0.7941939156927079,0.7746107118278089,0.74423105437173,0.7586998422323273,0.698638831440407,0.7772237350244467,0.7549901081851554,0.798017737953631,1.0739459013399937,0.8310217712891701,0.9750661869939985,1.0987088498177235,1.0503687067046477,1.0865480053893557,1.0032481984537698,1.4129985683316362,1.5608736170400177,1.903489223617512,1.907727507188543,1.5043695016543714,1.624988550254918,1.3567283830260748,1.2394788059842143,1.4255863369763702,1.1548285754343817,1.1661749926033125,1.0013891144828813,1.0381382390662741,0.958379914995442,0.8740432749053593,0.8403050323272878,0.8384442429076056,0.8452743398577619,0.7703455320315928,0.7929853802055778,0.8553941663964213,0.8076991269502127,0.8244695447670688,0.9337794462213779,0.9540567242177611,0.93604693199662,1.1238672570147779,1.2857993146382538,1.347086645360528,1.1871928307150024,1.1586482994313947,1.0017622567431692,1.0540764622484897,1.1858268950572903,1.5091338370092802,1.3274613682711893,1.2534867877515532,1.1422112275984888,1.1394557680280726,1.0834464661360255,1.2465265950415139,1.2667224204693266,1.1767591608815982,1.2295373232975337,1.428644245457178,1.300585918321263,1.2155362364194426,1.5401972838306035,1.59714942315388,1.4017392869826786,1.3492978658892611,1.0835255864105908,1.2095449004759093,1.1241102331542645,1.0351276545351473,1.1084569528824695,1.0438877164181495,1.085133074888909,1.028362808331152,1.0862453852063039,0.9808585593976196,0.967431316170468,0.8298596047980017,0.7924007878202348,0.8112892319951607,0.8042955495338213,0.8403028899224557,0.8446246635095201,0.995061937376543,0.9195478901538466,0.9542874885526054,0.9329627359181094,0.8977284666988536,0.8992127244472636,0.9592685837985343,0.9481376289558417,0.8797685395964534,0.989056928824337,1.029063339234656,0.9941999455684448,0.9648537706398791,1.1537036569679548,1.2140942134527883,1.0002468415225374,1.124380980262797,1.336630088966565,1.3669711857923441,1.23719154151522,1.0782559895063277,1.7312279754470794,1.5302125648614489,1.3594217080940865,1.2050355206308079,1.0265432489123905,1.026026275090626,1.2703419137144536,1.052575988576856,1.0171989981448182,0.8485417809951631,0.8122626182375225,0.7552030812901712,0.8862430250384888,0.7536615175065721,0.7422274533669144,0.7644956407251009,0.7250633439221735,0.8759714020553486,0.8324305672153998,0.6998862808274087,0.7224147093619954,1.0223314149891456,0.6354504809911298,1.039134198181457,0.9051938492927026,1.5170991259306839,2.1129410774736117,3.205133294351095],[0.6840874256296936,0.6492727993599452,0.7419895150925087,0.4790086868471741,0.667791733467648,0.6722660739653231,0.5734235512204391,0.6129603111988337,0.550486878775894,0.5252809722728122,0.49565384665423706,0.5573779645360416,0.5560531260340856,0.504444397833713,0.5663417650374818,0.5862084851673363,0.6285302067111613,0.6389487410090898,0.7797332663926597,0.7481414888710263,0.8891108750054595,0.9638287327843678,1.2239228043119768,1.2830670139296028,1.313645873564076,0.9354670632844334,0.6895984841436242,0.6431742151473758,0.6174909957333384,0.5891609356854538,0.6455530506535722,0.5835103843675461,0.5915565109896158,0.64629595565553,0.6439440178031832,0.6589836623989124,0.6468237782863506,0.6711649655331023,0.679243857253468,0.8511990834939903,0.7577866155646665,0.7377814652402571,0.9159672747039795,1.1811298991802663,1.323383366929624,1.4025013363936603,2.0529550559121095,1.5713172963558397,1.3555294613498172,1.7191785809180322,1.9796137775935794,1.6245281709040182,2.12455139073428,1.3645098705758973,1.962782214599046,1.4011428009433327,1.413731620543177,1.5350034179207455,1.374862679386188,1.4605916262026306,1.1702974001790691,1.0019175529402315,0.8234509189720424,1.0074256852620138,0.9709632976407129,0.846375524900073,0.9594279172821467,0.7761043757950036,0.8918605007918762,0.8832575380277224,1.0055650033834813,1.3797627957990748,0.9150851437805635,1.0829021601518913,0.8010023903750838,1.0832248970130378,0.8174203089453034,0.7789675688243592,0.7870054166520658,0.8255325979644484,0.8659917616156037,1.976872503780696,1.455451048968761,1.4086379077172195,0.8409190799472315,0.7350924693525169,0.6757109968450592,0.8041322510150827,0.724356000168107,0.7144950166449614,0.7324065194728903,0.9135831625000423,0.8266338284563217,0.6486723808454404,0.6194469260057679,0.6746571020418259,0.7389251755729823,0.6262460917533338,0.5799736654192533,0.627807706760727,0.6360207031221141,0.7040801229351189,0.6726690355743966,0.7493499279045998,0.8141651943095847,0.8119581109441973,0.9102439606960008,0.991573446725183,0.8628661457936827,0.8017417442777679,0.7245334156714175,0.6700786493517934,0.6135684774435947,0.5928059698302994,0.5657104029854908,0.6149506020168671,0.6386114478636399,0.7030915030916012,0.8455567424239485,0.6726654121688602,0.7095626949688264,0.6764531762549825,0.6511904760800491,0.5193271892171814,0.5000030806554794,0.5573712401917224,0.7575964611391471,0.7025416188594763,0.788764456583348,0.8673925845522442,0.9561767974544523,1.0238378946944948,1.0217828469707535,0.9606084371748086,0.9262449206175873,0.8383772204475529,0.8703586336122572,0.7613471426575873,0.5475811084937311,0.6141053522009654,0.6587446871441899,0.9115513111092093,0.6820859670635105,0.6372561046118507,0.6620490901553444,0.607674982847269,0.5901709804799598,0.5969993929978576,0.6257973166611632,0.6251152013714869,0.6591383147192511,0.609712672605063,0.7148237705882665,0.9980616298912386,0.8529643336477966,0.6055786574380637,0.5815270120389417,0.6391237425938805,0.6252012482079664,0.7081721617822695,0.6764447905070589,0.6644055258801053,0.6703444784415492,0.7709956340671305,1.066580690710028,0.926984647339565,1.1755594174473576,1.508132867925151,1.2784791314765511,0.8963289345488974,0.8707881076380609,0.725899753548734,0.7810586087287152,0.7560654889294331,0.7172244123849526,0.728951308762599,0.6630378559118696,0.739798166714746,0.7269325723831298,0.7866295515157908,1.0675399429640053,0.8161874865857464,0.9722755232952547,1.0947849155414873,1.0368341367794436,1.070916573730365,1.0099793903300849,1.428420926620589,1.565652683361319,1.9069717098446752,1.9325569482547857,1.5223414043266965,1.6144053847915565,1.3619554871776316,1.265350688092299,1.4772121213483425,1.2129510873801927,1.249299357769477,1.1015005818405812,1.1023450226660492,1.049669825907991,0.9472822596930545,0.8991566120361315,0.9349099849975718,0.9541913250563758,0.8472487784934385,0.8681117980639561,0.9572297974288208,0.9114638821622492,0.9015375645147058,1.0138154716344165,1.0604214141591408,1.0290835165938474,1.2214729557570232,1.3486909856738465,1.3607232399008922,1.3383919194572316,1.2747075225159374,1.119534671616818,1.1919186313166743,1.3657996530930088,1.6705338086605404,1.47701171575079,1.3826453301219255,1.2532621384862221,1.2526874784222213,1.197695574857069,1.3847500172167868,1.3990398805834217,1.2734481810040787,1.3682439773294717,1.6095615203573388,1.4591506294666168,1.3641588141345482,1.638179868417295,1.7550015182768286,1.5505414309736587,1.444659650960945,1.2090301890484905,1.2872924781405088,1.254227698563468,1.1373224737255319,1.193132360004938,1.1267309039558113,1.1307003735017944,1.088000875757601,1.171037444985083,1.0220158218089177,0.9851658630953464,0.9066714857392988,0.8786044074688408,0.8518461387512001,0.872337836582013,0.948407464456084,0.9423785643402118,1.066212369198472,1.0155042494048916,1.0660101002514366,1.0544681620057412,1.0199993983034248,0.9980887900935761,1.073948277082539,1.0761414731011625,1.0015976985081496,1.0982059099150747,1.1606879505399046,1.1136724048441033,1.0915024919226155,1.3013172715238333,1.3498372099059706,1.1459423992363786,1.2760520371884738,1.5434753551672327,1.5358041596985468,1.3876195293683469,1.177112049583018,1.7724397357642812,1.5089310227587671,1.448595288510212,1.2397300084537086,1.0809295349502477,1.0437730565763053,1.2222353135718076,1.0568805221906123,1.0450864080252862,0.8912367502290246,0.9254891234615337,0.816832966990976,0.952449947762093,0.7570839615554197,0.7561764846878339,0.7909247853228186,0.7818836180262995,0.8421593601429815,0.8083036869090542,0.7232212912345426,0.7223743583794073,0.9492798935115032,0.63488944209053,1.0620226718956385,0.9429310783335284,1.4071385703188175,2.0241341652830047,3.220495901568486],[1.163466589265348,1.1494079057143511,1.1805956844068695,1.1937727762884356,1.28640437138524,1.3755752393325493,1.406497678695296,1.414417617922722,1.5412481513055565,1.643551061635184,1.6985953265849962,1.6336760061483504,1.6575056201336216,1.7749958028596797,1.8192096026519728,1.7916385380562028,1.8240911450048876,1.9242913826340151,2.123732588660352,1.9608596485338596,2.0936794082092676,2.152099993266648,2.2208257678291554,2.264567915827168,2.1566471213024347,2.0961637315576698,1.8971434781555296,1.870276254095217,1.8205322946717872,1.7226217034322915,1.8774714650170932,1.6934481591395283,1.7203292409094937,1.7785876376008791,1.7339111390841104,1.7943707488678151,1.6425835222899012,1.7692766855556632,1.7350536729560764,1.7464424413053055,1.778707629744009,1.9267181982762445,2.0969363052993173,2.261012638955157,2.310148824637369,2.3520907692506934,2.7923308914386245,2.5077153071318183,2.26294574662573,2.4290003863833487,2.695925018514739,2.2508496319370375,2.7777053406338914,2.0861038624560133,2.4244506851543988,2.048433185510153,2.0617327450092056,2.1829772270556513,2.0571955686526437,2.0972379472715024,1.9704930006860084,1.9407987190131755,1.9444039360854857,2.1571075109956097,2.131049368468289,1.9775677904749736,2.1561955796885903,2.0496369539198063,2.218027052754203,2.128607078455206,2.2302282825422695,2.54403901625279,2.212183644229308,2.3441060510360927,2.0889114892117697,2.214319270388772,1.9902871819228662,1.9114737811623184,1.8352342023537074,1.8114965447814224,1.6623519238369875,2.6763455767271696,2.122835790619399,2.1679329563754015,1.6605597175627957,1.5829048704997104,1.7136477392723395,1.6530528238795796,1.8291411121575099,1.834114612568567,1.8929643944311767,2.061812036889366,1.989109641908516,1.8693540107631164,1.8603994607356267,1.9244515192841947,1.8909875765114321,1.7434383379092409,1.6448533025705314,1.537561043421176,1.6073065050254192,1.5273123840369496,1.5443154908784527,1.4585760300583386,1.4380689122913624,1.4011170512980111,1.409051637804657,1.4292919794407006,1.3318840498777667,1.3346903102957162,1.326620565492616,1.3942255916001847,1.4424887177202694,1.542693597427935,1.6316589679670308,1.690321706115095,1.80730229036447,1.9456424943922694,2.1502058525503247,1.9846643821571348,2.0022880848216618,1.8552111033178809,1.819589779551695,1.6918584496552787,1.5618470108687783,1.4967456433022515,1.453691473101224,1.3830735002363452,1.3443358051634187,1.3834201101099115,1.3882122172640228,1.4337394342972265,1.4453642786357508,1.4481356457351429,1.445951167844052,1.4739341482489652,1.4081469304856864,1.5085321026821747,1.5606801185630876,1.625094610434858,1.8515660293780365,1.9612095347288405,1.872320658222965,1.7782138572767932,1.7440505765241836,1.7175861361217217,1.681074271888514,1.6195566789048115,1.5211079988426675,1.4924799428828701,1.4375875258998003,1.424989958269961,1.4395136793252008,1.5063559139134004,1.508990718817666,1.4865122516627873,1.5217115584898337,1.4626395738264677,1.5729920422369337,1.4810026116979784,1.5295635596747645,1.6014574765821545,1.6313177813566946,1.6580897882593035,1.7737331906573393,1.6907094932178128,1.6385278876663658,1.811159697180479,1.5841444691753468,1.5114194029137473,1.4321023548560938,1.5105541663879027,1.5187753508046171,1.5123561218418164,1.5200259160279008,1.5001262174561896,1.53002574341365,1.5239341808656324,1.5245097811651611,1.491784315182867,1.6933870799368236,1.467034698861722,1.5337586731294717,1.6127078298323936,1.5689616679590137,1.6910439582414392,1.747969992315263,2.011453804041027,2.1917293131203746,2.3055615951397033,2.324896153334197,1.976539285450098,1.9584113355724222,1.6924101207905347,1.6076546475221603,1.7820908865279865,1.5482658468973869,1.5989399368883626,1.4797370388873514,1.4718558562632857,1.442163394819498,1.3402246152564594,1.300292390422213,1.310910053843606,1.3292198402269773,1.2358559521486288,1.2279182496029615,1.3040690000862496,1.2594002043189492,1.2668758251746313,1.32481975326016,1.3438248277607305,1.3599127763326992,1.5219953044499848,1.5871187473034678,1.615566139032036,1.6119917635893966,1.6151097162772754,1.4853931328324557,1.5750858093206204,1.76409656572161,2.0071764815703794,1.912858293259993,1.8133823040328554,1.6947659398548043,1.6864590283096648,1.6099129333954052,1.8444566149585166,1.8671081820207422,1.6765262332401558,1.7710901527113931,2.0477733277018273,1.88664876849105,1.7522221968898366,2.0583109341337553,2.155601800528361,1.9609446746784607,1.794928594238431,1.6083196704607017,1.671160313626951,1.649297928493766,1.5411453436430826,1.5873777637879085,1.5544583275272499,1.5273511687349801,1.4759987789437796,1.5432134569134046,1.4284215426536273,1.3698807477166624,1.2913015938091752,1.273748923506569,1.2617177786866318,1.2551820817712491,1.2859350058395809,1.2783004247799283,1.383759063187429,1.3255800451312827,1.3805005276419957,1.401340205032375,1.4010913090140569,1.3914461310846407,1.5141658586434705,1.4885977804133383,1.3952264281074938,1.522506999601373,1.5918740843675454,1.5175881451789697,1.4933352435624916,1.7633378017680992,1.801624061205919,1.5779117858966456,1.709760625932047,2.0793365880438266,2.094551220488856,1.850675912039941,1.5779590647493489,2.2100445274139995,1.870411079106752,1.7843072568945861,1.5120201127243882,1.3764392922058601,1.3563156170613275,1.4844218332526535,1.3589149549959754,1.3865895761743903,1.276037560666428,1.2891100696268734,1.2070725909262625,1.3390756617318744,1.2690676434029986,1.2452906434853213,1.271420926159628,1.233263710286044,1.3610084893477794,1.3558642797491602,1.22308963260303,1.258374110122688,1.480281675541073,1.234603974830707,1.3940647920994422,1.3958216008060467,1.7800762153843799,2.275394874726937,3.3517335267563695],[0.9298077695081939,0.8671895866785749,0.9241446948681494,0.7123415007523135,0.8151355943650096,0.8098399099000806,0.7074292919804236,0.716870447079953,0.7029380213930743,0.6964515792897645,0.6805522956653531,0.7164649234182431,0.7342413492778822,0.6938206244728422,0.7500856633523146,0.7624952949347711,0.8068408656139211,0.8447671836648694,0.9951406973309475,0.9565115502234949,1.1074174260761145,1.228139361461597,1.4381954194656452,1.5105681563730933,1.434272156390843,1.1223413605970325,0.9122110076414636,0.8565232056470602,0.8194595719388824,0.7763044419340196,0.8322909483636477,0.7625707233060431,0.7697577665055743,0.851599730210046,0.8450792303378707,0.8630523517303423,0.8349938394453621,0.8879725623616359,0.8997493945504391,1.075575866731721,0.9921471488708897,0.9888037207354404,1.1664814104177263,1.3724793236529251,1.5574899536740436,1.584611436043202,2.198020183997789,1.776195075787519,1.4994872543537776,1.8553876990739706,2.0813510882780633,1.7876145905081728,2.221667568537864,1.5022528385164768,2.0191064060292945,1.5263257596516306,1.5822825545479364,1.602717879192336,1.4618239403362068,1.6416427340607092,1.3424794288080177,1.1887793837838558,1.0621911463125175,1.3146359468937021,1.2416846999583975,1.0767907995294037,1.1866801478556026,0.9882506017110294,1.0809528268716113,1.049520730587517,1.1553485046625689,1.5454559936956365,1.0981039676958542,1.2812991831433946,1.003705191681427,1.2765178645590693,1.0470751160066238,0.9987064633940341,1.0119931737428913,1.0533574538356596,1.039635315733373,2.0465377485102882,1.5572241408057343,1.5469248527542208,1.0370999387707382,0.9376827443660668,0.8923317449738309,0.98587243458777,0.9577789847121576,0.9364210728737459,0.9536428749971422,1.1256296129906842,1.0110448463849027,0.8251212882941855,0.8041428464530164,0.8362723238884521,0.890495814064619,0.7709593584929391,0.723005287584845,0.7452975794217531,0.7693603800486031,0.8128293999205316,0.8352063112255481,0.8643671649412759,0.9548039668496529,0.9276264348525405,1.031147630382001,1.0970075561740797,0.9691495426335853,0.9266185088224553,0.8458666695122474,0.7938906412286938,0.7288546481015641,0.7481095319799552,0.7413279491691813,0.7696594058381503,0.8161744153774959,0.8955722711742149,1.0292833198038382,0.8585246532800983,0.8741710750446162,0.8295800728692785,0.8069915154885396,0.6960908288246819,0.6667682031413814,0.71055194491358,0.9264924089954824,0.833573909417059,0.8960519985860652,0.9958829993215856,1.0608575336881103,1.1551756922194047,1.1550815564637706,1.0900167536091354,1.0425458301258943,0.9792274717247085,1.0040126100305595,0.9056951310241194,0.7343661300718487,0.8195198581284647,0.8741150395308159,1.0737542925183798,0.902630107752768,0.8385464793584244,0.8815068505877753,0.8090627673737063,0.7812780374557874,0.7567216634338083,0.7664029525268787,0.76204027709709,0.7804554042155285,0.7311355021309848,0.8489457092951546,1.0911228625062548,0.946117842776193,0.7142179798344997,0.7064879738931116,0.7537922319101324,0.7784165424889545,0.8421579775489012,0.8282572472661919,0.8517025805715942,0.8677253047875116,0.9872687490126422,1.3194989523065177,1.1744795816555242,1.3447820651280233,1.6453597742849613,1.3927078477216992,1.008640231659013,1.0138232717596405,0.8984402831935496,0.9571011859690904,0.9372984091890806,0.9006674460336357,0.8925921344629676,0.8334274912126906,0.9144402060081442,0.9260315462089487,0.9707555255279932,1.291065968890447,0.9727260562929653,1.1415867159363497,1.2402994770520117,1.1984279133989124,1.2541815450697995,1.2267790890311978,1.5555089382929037,1.606292962388079,1.928098599251248,1.925432474083979,1.565533882723765,1.6620140984621383,1.4464414641005168,1.3874074096152504,1.6239982398361157,1.3535191673450262,1.3977596131610515,1.248879873172547,1.2183480508801279,1.19068162286366,1.0720326601785821,1.0090178551836335,1.0642583696401033,1.0987671474721632,0.9916531455997921,1.0219286073003577,1.1330438906597307,1.0889526388405284,1.0779141891107478,1.2013472319926504,1.2738615992510982,1.2324469756249716,1.4309494740674673,1.5611805390484186,1.5134547024347083,1.5417363368258885,1.4676305229158437,1.311332848697566,1.3919043363333723,1.5644682237223861,1.8780377044646255,1.6998791582780473,1.5775912526277434,1.443571206241792,1.4466453007656934,1.3755545545572765,1.5752404594214686,1.6124220777011664,1.4304850236864066,1.5553539128914122,1.8043880971176636,1.652651232368833,1.5349619905935679,1.8023588489297588,1.9137417395001066,1.7242132947491544,1.5460470105072905,1.3645363595209565,1.4351691907054,1.4027448733755021,1.2964960015394282,1.3407334742681105,1.2933868763804195,1.2568212816959514,1.2130486246768832,1.3036264570373166,1.137031726658265,1.0903065960565501,1.04546850203644,1.0302810994159344,1.0198008823322997,1.0457842254990402,1.129061172164365,1.1338224362741836,1.2625632122548613,1.2125202035625247,1.266449504799457,1.261195872825668,1.2220965576607767,1.164116920952697,1.262889917872433,1.275730464946642,1.187019214172367,1.275021945073386,1.347891507329366,1.305000037198291,1.255567054521063,1.4889319100565532,1.536708659106573,1.3168856972126075,1.4322000079738308,1.6909365711808275,1.687122024506297,1.5151546154177413,1.3277290989139394,1.853458887302241,1.6321284892910357,1.6342010777252678,1.4095451815419808,1.2456437981018857,1.2095886559031266,1.351335811796592,1.196378105979724,1.1826781400405968,1.0226940713326769,1.0528507882180038,0.9300207043249089,1.053689837186722,0.8648161971870754,0.8660788013128696,0.8881363743116464,0.9045863370801027,0.9247227336875657,0.9277288208132761,0.8815590254630545,0.8796304572883974,1.0721472990317464,0.8132679770472668,1.2141279177089115,1.106383095172371,1.5478187511783252,2.1252154997651176,3.3019830705139093],[0.9689755685790458,0.9498344745959265,1.104781859651178,0.9844943762736148,1.0889569963174819,1.1383310151355102,1.17631573996406,1.1997388488856955,1.2139103813858523,1.2613716929654974,1.2566793316033837,1.2433876059321582,1.3210265529528677,1.3066323975564806,1.3676469165186775,1.370731334222147,1.406642456755933,1.435808373692026,1.5066167290604613,1.501330344372916,1.5963501179542514,1.6456376029055206,1.836498586580484,1.8776559107923896,1.8500197281881297,1.616968478430989,1.4734272672819348,1.4306725935772597,1.4018591527007231,1.3701466583246074,1.4254011643847218,1.3701649781478815,1.3732423258495636,1.4648875841024867,1.4391169806202933,1.4571945538557594,1.4149583035295403,1.4326634755393888,1.4315058063423898,1.4872279589718214,1.4615145468843107,1.471451383921082,1.5234390588723907,1.6527890030151544,1.8404356849150705,1.8248232617304514,2.3865042129544807,1.9690567219615196,1.707287689370515,2.0059668029895867,2.1539704181964954,2.003798107938663,2.4136982035786865,1.7104307717284388,2.12800065838211,1.7031074475377943,1.8575823814770538,1.8292398403433208,1.7283553775531089,1.930700682097426,1.765836215094649,1.661786560570908,1.5688952989186833,1.7373915028270952,1.65734938234552,1.5864815656669777,1.687584662613225,1.5276756962406357,1.5436452255613569,1.5911101233754206,1.6823936208206554,1.970140356359462,1.6338393528059145,1.6755709984419322,1.5559952407817719,1.757495381002604,1.5707054969907175,1.5532649177714635,1.557528638982917,1.5358444617992246,1.5282262366997297,2.238679177190614,1.7912794763381972,1.679743494427007,1.4407630063621368,1.4366082694794597,1.4162285145924587,1.5027202990731838,1.511904613025099,1.4978472422258087,1.5396367354614537,1.601798477506097,1.5625159883487905,1.4294560911877439,1.3995561971625718,1.407785044720186,1.4336602030683177,1.3732442808875127,1.313767540884518,1.2912502188412154,1.3113632235526522,1.2594090895881225,1.3067245236986835,1.2887681302270306,1.3222892260844503,1.3101575588722543,1.2784713994144532,1.3339077548916547,1.251010339048997,1.2375911747061186,1.2032946983942088,1.2423838779570757,1.2306862710633455,1.2659190272216225,1.3466759301449382,1.404901010208755,1.448855866051552,1.468612322507243,1.51789836900051,1.4546751688159762,1.4767185386219404,1.4533460344695541,1.4489554829993982,1.3190192991154364,1.2517781725659018,1.237711575364099,1.210819065209286,1.2428184216931792,1.2652809521173083,1.321334317145933,1.3590025721540686,1.36993012052857,1.3769650439139847,1.3441591977038505,1.3453510571325527,1.3464108902854246,1.339023287097264,1.3718689220485842,1.3330494040064034,1.3917330898759879,1.4292367711877623,1.5309298680969314,1.4573707883248652,1.4017826609460544,1.4231643294546001,1.3848243023573907,1.3615973077146393,1.320163642866815,1.2733487081679606,1.2843582531796782,1.2065183397306498,1.2166737252825204,1.2386286916057665,1.5318078928053076,1.4748962589129786,1.2259824686230942,1.2377105096853458,1.2333607435208032,1.2786682334371413,1.2676525876439335,1.2907099472380072,1.3687542140465052,1.3743461025049761,1.4370967404170256,1.635678285787429,1.554579792377976,1.6570615909617,1.9865927166237796,1.7355212231913029,1.4058430733092309,1.386418995283511,1.3320637050851276,1.3578762438482732,1.3506547679212084,1.3564755864205744,1.3396784198652492,1.3603324789651943,1.3682176204765666,1.4060100742868369,1.366214032998493,1.5936303712538957,1.3276038495872247,1.4126810013540363,1.4568227243495324,1.4700081089363488,1.563039493875657,1.5842208898478487,1.8351380530573986,1.8305962658381951,2.1695687557420236,2.143164819161358,1.738549505171169,1.8773857805096907,1.6302067694531819,1.5362174713430516,1.6978193691840162,1.5419964922100955,1.519427755760073,1.3487490605218289,1.3991746474882265,1.230492402539144,1.1863799479988983,1.1834149700407564,1.108841553183285,1.074579852041998,1.0202080432829863,1.0039375495126583,1.0229500308918198,0.97654000332223,0.9882179677224857,1.0205377365508712,1.0461834363866942,1.0596561972787586,1.1860306383170296,1.2667664542526702,1.2847147190524433,1.3401176349074502,1.1801359425833609,1.0750127771723959,1.1530874552551884,1.3540700893113737,1.6303511721673374,1.4686482222114514,1.3757630760462856,1.2681969510251996,1.2430423175506917,1.2531041309458704,1.4282096509766118,1.4066740193405265,1.2908325188746075,1.4450276265655948,1.653312231179464,1.5165904071338254,1.4411497634438903,1.715410834388396,1.7857263100365859,1.5926002139905133,1.597063976900669,1.3456465533117539,1.5396806240297294,1.4126978381566415,1.2759328476665361,1.3783076281049647,1.2648683994480925,1.344052554747114,1.272812336343074,1.2434660131370965,1.1880078679293211,1.2149625467952672,1.052206995055202,1.0081431320292806,1.0347304814746752,1.0080693566300074,1.0049658086820858,1.0270662249666902,1.2017494954702945,1.0323546780446018,1.0615120931349185,1.0333339869013891,1.0129909154222012,1.0393350532526744,1.0941152164279029,1.04779565112883,1.019957196040378,1.1316379822028346,1.130156811786792,1.0805045413411196,1.1213887566903953,1.2855187017827823,1.2919491623611254,1.1350609091496033,1.3090943217688582,1.5590228498153103,1.5708809711085252,1.393279150549699,1.1667259089373254,1.6967660897222443,1.3776195949299648,1.335262601376514,1.1395302805560539,1.0454388375920407,1.073245058120355,1.1669460773412106,1.0402530241053003,1.0363765721157223,1.0097147959842658,1.0616787577791518,1.1047531521189937,1.2538680518906273,1.178896472367732,1.094414182596149,1.1403509640750011,1.0602642608227868,1.207223596386541,1.1971571159566543,1.0002275631727169,1.0272092854175308,1.3870208375385338,1.0115979909491655,1.3158955182725582,1.172989025219853,1.667616557727921,2.265002588844574,3.4216994957050053],[0.7037882464767514,0.6302457420685129,0.7344573040750995,0.5136781342351235,0.6022703910818388,0.6477643192118508,0.5728912606700347,0.5859085395344003,0.6098688041792183,0.5929888947509722,0.5818260990521245,0.5817672316766654,0.5995755220288256,0.6060515363189878,0.6698353671715516,0.660765526799114,0.6963288019500383,0.7205841347754138,0.8754192486722705,0.7969457874197163,0.9469384314042816,1.0969667012875237,1.2426664413099013,1.3408164165339198,1.272460118430918,0.9616953989058333,0.751910676935622,0.7153254817345437,0.6764190930089923,0.6420739981577928,0.7205218370047769,0.6259311786021127,0.652270081213061,0.7127274274132313,0.6756396536861429,0.7059390258363235,0.6645639629387267,0.7149318457718364,0.7209049764932597,0.8869509585465307,0.8358510528713526,0.8177398657180872,1.0201103634746804,1.3024348565970834,1.4839492710859448,1.5965375181641241,2.2617674584457075,1.709317898972573,1.4738083693127568,1.8238211164386728,2.0140301166154053,1.7703008148648223,2.3109060122764915,1.3468164620710779,1.8704911558301038,1.3055252073303052,1.2770189346138225,1.3265016951832274,1.2341885520725502,1.3922856747747556,1.1289396986447928,0.9744420812941731,0.880726756115107,1.1291673683644783,1.0345965660010534,0.8923667132251896,1.0521051679963356,0.8330758067802572,0.9482246232112259,0.9461603312605819,1.0431286023599793,1.4500298528378937,1.0279187253768325,1.1458281255280847,0.8864605226575734,1.2295955852603186,0.8625454092932612,0.8397959006744827,0.817362589585986,0.8333120576642098,0.7669753686431501,2.137578802041464,1.627050896690584,1.3443986200094211,0.8580682669244678,0.7258652037310371,0.6944384352670505,0.7777612782950029,0.7694260018872432,0.7684470592582212,0.7920619864014375,0.989918631452869,0.9149053799658671,0.7301607329200801,0.7044145022692128,0.7868620291351232,0.8102724709339216,0.6792598306041573,0.631324677777573,0.669414749588047,0.6244920347745001,0.6499621723443765,0.6240318891957579,0.6594754882251224,0.72664311752843,0.7355480871622586,0.7909621606407191,0.8981467682000052,0.786016151647553,0.7473369189127138,0.6770909686768487,0.6289146116180919,0.5693019862007194,0.581259500359465,0.6172512902319357,0.66471383543716,0.7139343395079516,0.7626659984895954,0.8985208027857308,0.7566131444065534,0.7974604352676544,0.745381939483026,0.7290557259257139,0.6084696999236389,0.5699540987611915,0.5673059465941661,0.7006570225496493,0.663707432819849,0.7408160201008082,0.7939571778580599,0.8837200414113004,0.9225727715960915,0.9385496944829522,0.8541537684226677,0.8469471571634639,0.8461432041364788,0.845802409026601,0.8339987597288459,0.641174806143899,0.6861609090178458,0.7258542107223859,0.9681511648934049,0.7557789198089923,0.68890337984116,0.7253445790832819,0.6519326017983548,0.6217735315988827,0.5843443871531653,0.5743110859523357,0.5987136321798744,0.6138645454637284,0.6009544586479095,0.6912332554281232,1.1214038186094757,0.952898565559744,0.5990074302580713,0.5565204857142458,0.5811014704953724,0.588065984564459,0.6441634246220224,0.6419582263077779,0.6503291338077856,0.6964200237903776,0.7928255358895967,1.1060634963921296,0.9801062351518001,1.2466179460359854,1.6955035636720472,1.4214139990824615,0.9671927366651129,0.8842631532985199,0.7471392878120812,0.7717297436507753,0.7401946211714443,0.6962522109661476,0.6815983905502574,0.655226498196155,0.7105288244439033,0.7133125164686925,0.7263457592250391,1.1168151511744837,0.7452191678636964,0.8920186673889267,1.0226322391695744,0.9852995524541466,1.0724519783861368,1.0754050744408852,1.4657817869631575,1.6998715204229142,1.9665516392544304,1.9425597703544677,1.4841565357364885,1.6081895825759946,1.3139499180291956,1.1804043246304463,1.3664066569975701,1.135434048862235,1.1402560192056737,0.9965520182916024,1.0178009869003743,0.9200768379856086,0.8129124980080804,0.7789193186473938,0.8105012438595688,0.8074348753969535,0.7045175640742322,0.7327513670980943,0.8255258387876497,0.7803129080940394,0.7852574213169333,0.8872473896656966,0.9615434542016729,0.9525355774096675,1.1443905207348386,1.2322804536001524,1.18178023415751,1.3152604527315768,1.1151152823373558,0.9692137663338954,1.071120288485105,1.286011528708429,1.6054584323185184,1.4117773383428522,1.3132508771310465,1.16257445192805,1.0921595066148329,1.0266230648541093,1.197369845531701,1.2641039531761202,1.116290645044683,1.211412017209852,1.4954369151459432,1.382767655489036,1.2372445567330046,1.505071286548267,1.6652607747237629,1.4326930908916917,1.3803732836473654,1.0828789383859354,1.1718035603606325,1.1001280802982984,0.9816912782926841,1.0160945686675888,0.9346964994300028,0.9554303727760722,0.8998767253101835,0.952013701234272,0.8218720617393398,0.8137000518058918,0.7375430602753573,0.7257445242310219,0.7559443146313083,0.7466050628042039,0.8208378119229176,0.8799802459607102,1.0657244767864724,0.9254373718092027,0.9637843718039916,0.9277676609271145,0.8722431522190122,0.8353868684957403,0.9127797485497693,0.9405505367865205,0.8562505799694282,0.9381309302299221,1.0258267120596158,0.9831342437422,0.9583466062687274,1.1905819159669442,1.2511318565942742,1.0373863216619703,1.1829525579583249,1.4817719215446077,1.5410022221818873,1.3375210549974978,1.0629691547067677,1.6290425975896614,1.3008388283059489,1.2625284140910853,1.0385473701391401,0.90262812003802,0.895989223293874,0.9984926144956744,0.8357649316471308,0.858689623122444,0.7545986577495153,0.8200487771427265,0.7503980393718225,0.8509021703032086,0.6859316381584912,0.6824016342583095,0.703498768716384,0.6683390409409379,0.8265626000769494,0.7698971610251663,0.6285790040063636,0.665420620864622,0.9884150645965258,0.6115130088816072,1.0419237316223675,0.950003945312332,1.4684794773391212,2.1696231204029406,3.3360636412273235],[0.721937939059058,0.6353781469717538,0.6708114457627792,0.47839363911126315,0.5359392990782209,0.6033499770734132,0.5312570097342284,0.5332008229224503,0.6022072271475823,0.6180908228036858,0.635701453374805,0.6145402306863018,0.6051973646046731,0.6573141290281597,0.7276028476448743,0.6896450888680868,0.7400059971535337,0.7806238747329877,0.9537151637907002,0.8312528340366422,1.0026658760433267,1.1912337203221461,1.2567408142676169,1.4003413081256242,1.249432851643147,0.9826678282355713,0.7859454364221755,0.7585998506665081,0.7173588199916281,0.670700823062239,0.7737723235204792,0.6640580812334892,0.7145043800023088,0.7527539531728634,0.7040392548417268,0.738578553201806,0.670742685173526,0.7743870301119842,0.7540087609665701,0.9289687758243474,0.8949719515144169,0.891732289549611,1.1217848099684817,1.4058946555156504,1.5765235495267924,1.7103452027879364,2.358109257550312,1.7948331718988433,1.5634330951635886,1.8917291033036783,2.0677109560679776,1.8615659834234777,2.432097359895336,1.3743668360075125,1.8598141372902748,1.3021635237108353,1.2445968773297942,1.2746186197179459,1.2089448457334306,1.3749775246464842,1.1159000092335105,0.97283425028569,0.9261635036031033,1.218560099876387,1.0970435674048247,0.9405926228081349,1.101951480375032,0.8936369912115398,1.0464328067409565,1.0131508847038384,1.0839829706690194,1.4943826555682125,1.111802136186545,1.2404649176063898,0.9558583036788161,1.3310103805309337,0.9104059387404955,0.8935256502234047,0.8449568021874,0.8441072655366675,0.6996006433420945,2.2473609295484542,1.7371498899591327,1.3630167286983408,0.8617438713650897,0.7131267119439486,0.7242173266054431,0.7460336161504156,0.7960232747147504,0.8040761326784178,0.8431895710026048,1.1054692219511733,0.9861927194452836,0.7906336007012024,0.7688643057882767,0.8737179392804728,0.8656345131338882,0.7175255712830363,0.6657488438998567,0.686012273644699,0.6333750232247723,0.6250600539085392,0.5850703058681306,0.588356123394944,0.6678669240845615,0.667608967012274,0.7274912491146205,0.8271221529966242,0.7095299515918848,0.7144863385727732,0.6226438084037527,0.591614791986928,0.5247872492387353,0.5735164786317153,0.6030572588427434,0.6447255625615349,0.7228948621714641,0.802656472515799,0.9600906412948046,0.8169208789759129,0.8629027505395601,0.7590439722734538,0.7366494926674633,0.6208733412569893,0.5717482013868898,0.5652299200634915,0.6880413326877305,0.6309128948456195,0.6757152604655915,0.7401206273318196,0.8132993059715451,0.848308088805807,0.8878670501314323,0.796598163750005,0.8086963422025462,0.8468570309680836,0.8058209448802254,0.848757818362487,0.6684170213219418,0.7247493462371044,0.7994847911575447,1.0452145258422723,0.8174263760644531,0.7262783977314697,0.7625012491666956,0.6852027945604414,0.6433233624733867,0.5871234823706558,0.543968880092712,0.5456209776791283,0.5968787184471961,0.5749641419981127,0.6699001202753032,1.1627667136957593,0.9667676074252788,0.6074750341212428,0.5606020837517903,0.542817854967056,0.5769514765777803,0.5914191925430673,0.6275082694644606,0.6523209279736774,0.7191879674461836,0.8097271968885787,1.133050054102687,1.0074756364632382,1.2738531085939035,1.754762149960182,1.4650629649731588,1.0041986641674345,0.8860923184453156,0.7637593776847275,0.7667140185723157,0.7312545992265348,0.6740071571260817,0.6576859317369783,0.6357334959369698,0.682030298645977,0.6843960775167268,0.7046293925819224,1.1571268141728022,0.6958641354516032,0.8462235771019101,0.9896344977470769,0.9628563725699516,1.0774899273434844,1.11459426351981,1.492856328017991,1.7791803683381708,1.9905553065724826,1.9605658179460899,1.506075150751287,1.616814698973201,1.3099232122168498,1.1428223534613908,1.3071697067590258,1.0574092595851032,1.0603588504623318,0.9315964105487262,0.9467107917051658,0.8503040382868134,0.7326761185233938,0.7060667022265595,0.7505373945262575,0.7571515484626337,0.6617864247447948,0.7018326793623579,0.8022064003353775,0.7780092108631891,0.7979082808339601,0.9035802267951822,0.9994494652253005,1.0008806498246157,1.1991372148530817,1.2844825177375803,1.1566491205978577,1.3723742117512645,1.1258223576616722,0.976094428133233,1.089085441606948,1.2843868667638902,1.6166411501130846,1.4158060953080442,1.3062442840893693,1.1320977464109812,1.0448184188989376,0.9679266653815464,1.1275008610412636,1.2160818284480204,1.0636737694001965,1.1390366698677432,1.434584412045508,1.3411203245354673,1.1798341362310922,1.4546234646422789,1.6515862955849185,1.3836923133901518,1.3476539127354148,1.0263568328100217,1.0855888511138314,1.0226429391586491,0.8992352709960664,0.9158456476361434,0.8481946841134568,0.8512267250839356,0.811570355112277,0.8621367142180806,0.7264438404487183,0.7242434768949362,0.6960249374378232,0.7224370251468079,0.7634111523956829,0.7445420985508355,0.8338520768556577,0.9302706781261986,1.1207731051123544,0.9681493237565441,1.0017678160040733,0.958283636076918,0.8763967046393678,0.8077689854724754,0.8788515882181074,0.943705812118526,0.8418724448869366,0.896382324294924,1.0059593500486441,0.9762820788850554,0.9200090471348019,1.16339603953901,1.242896631565742,1.0240229177937243,1.1672741475882336,1.4519616305778755,1.541692571222421,1.328848352612219,1.0640291425072717,1.596930046841054,1.3020563788454533,1.271422380485023,1.008250962992177,0.8745361883120495,0.8524144803326502,0.9175423494944528,0.783860759332967,0.8460671097255615,0.7256979091414875,0.8008706826414757,0.7103457382762679,0.7798826018417311,0.612759928839259,0.6421189942817973,0.6492088685162816,0.6172774865141023,0.8442831189584817,0.7468611467078606,0.6158088227005689,0.6834747814457778,0.9912427206664403,0.6187990025136058,0.9941103623155831,0.9313664589211482,1.4738587017070754,2.1821803772018744,3.315691747583303],[0.754291340518356,0.6789502371128396,0.6707489032692656,0.5177509560908539,0.5825279864355554,0.6073751930649083,0.5683659872538107,0.5674892072076445,0.6409801851710083,0.6508713747947585,0.6703978565447505,0.6342564260499466,0.6494582642818308,0.696429287561916,0.7586436673683868,0.7247911895495389,0.7775795313910631,0.8208135754658106,0.9928382140862881,0.8515617697104332,1.0293018584670022,1.2283728427026819,1.2529431272899305,1.4537955586712994,1.257184583003746,0.9862276916698847,0.8162100383044767,0.8122830850457395,0.7667249596497698,0.7287513445867088,0.813613230533873,0.7230533060932057,0.7723912636023967,0.7960570176608124,0.7546825359891144,0.7868762983912003,0.7127810859562984,0.8326460658342735,0.8009849921088679,0.976390152435198,0.9691265247426694,0.9436595090523163,1.1632101625605133,1.4793662976513529,1.6358201623313404,1.7923971806173769,2.404832699681934,1.8090717295671748,1.612456687028994,1.9026525824223166,2.0573225085387965,1.9448137185725924,2.512318504330697,1.3791298958341958,1.8388879088911012,1.297404011851346,1.172801143936869,1.1890768310567041,1.1575523078793293,1.2953694379760738,1.0709415290518756,0.9577519868699326,0.9412463292231177,1.2278016666717018,1.102268685880406,0.9632368269492455,1.1109572355649262,0.9161702806220763,1.0533892016718849,1.0344412208977019,1.0861378387388525,1.4734982011631799,1.1246357408655616,1.2232084971731356,0.990962904059222,1.3736112276691228,0.9259242986533613,0.9135034335849771,0.8672439273668041,0.8794928634069601,0.7053275175528146,2.3394112946330283,1.8750925064304709,1.3346553405739314,0.9036219092497052,0.7517726483335435,0.7705214299709419,0.7944522676011944,0.8353105487277939,0.843689935413726,0.874023437813897,1.1320491382083708,1.011980109021183,0.8216654702852947,0.8116760541707452,0.905453880429235,0.885786927793182,0.7620082063360143,0.7106421270619281,0.7122362507638634,0.683672170076559,0.6747353858421274,0.6294827079031048,0.6231084553807396,0.6774972129195974,0.6637607719468417,0.7479492979784113,0.8323342255496782,0.718337568573893,0.770897610597346,0.6522950378450794,0.6333452838065692,0.5654599150417656,0.6452894612979903,0.6462010734126022,0.6797172703278974,0.7693239376670095,0.8610394182084568,1.0099521127637603,0.8592101448960232,0.893229507076266,0.7847721019477779,0.7732693760098983,0.6650861314118506,0.6214880556242373,0.6254829944158171,0.7480538097389076,0.6370040832175379,0.6764792160879731,0.7360408525728678,0.76942679062171,0.7930003111965921,0.8619924285591153,0.7793671306979104,0.8044567631949633,0.9164194394945302,0.8406816042227805,0.9184475459030477,0.7516668151533543,0.7981623663999952,0.8895211794278657,1.1012456820591747,0.8850534309290445,0.8065660451130132,0.832518981738631,0.7532633838428207,0.7127489058173506,0.6491680671139781,0.6025560301056223,0.5855378778794716,0.6450846139932679,0.636140582969541,0.7258335585138659,1.228552154255004,1.0202314838589965,0.6675489117082649,0.614305579505714,0.5904146914881585,0.6272858313175586,0.62456036190997,0.6793698819415791,0.7256071218668597,0.7912208732685312,0.8703719952513733,1.141174663854764,1.0359994724396595,1.2866416513792789,1.8066915063150693,1.509318797162,1.0998006502567728,0.9216488719499747,0.8265099623915707,0.8118802189606416,0.7877775812774298,0.729188408686765,0.6928490340993421,0.6882984748647125,0.7288878154016089,0.7421523231379664,0.7265864559035651,1.2083188815162977,0.7137237008684174,0.8279725692838135,0.9670408483871719,0.9484723333126739,1.0783203344188184,1.166292752446289,1.5228981066215566,1.923998599743002,2.0342127419722416,1.9563667193397336,1.5239263320781828,1.6236535443457076,1.3197315989214446,1.1145012823028013,1.2436438456350365,0.9881050081678422,0.979255509999897,0.8658967940482503,0.895571937832279,0.7767624939303467,0.6740979461480191,0.6620066550796824,0.6987470561217906,0.6977283938688277,0.638360994754819,0.6763542615937855,0.7511161041100457,0.747587488350113,0.7763449610382316,0.8622519553705574,0.9564009238695966,0.9831138391364296,1.162020092473411,1.2552132506697442,1.0974814952215397,1.3335202929043608,1.0258630803912894,0.894001649130147,1.004327951703074,1.147386210221216,1.4900282479445974,1.3044867218148872,1.2687996328229585,1.044698671294599,0.9443376379201887,0.8944589787332252,1.0055553789263036,1.1136518038771588,0.9849579785790574,1.0556873741461459,1.3253674241198437,1.2534404450617957,1.089995743700085,1.325373666037614,1.5335355412244462,1.2809034542867126,1.2794944939564565,0.9459169863843921,0.9859710323679439,0.907800171044024,0.8055070196867519,0.830319072743551,0.7602152827207587,0.7828268179908411,0.7216460366375216,0.7745294592453333,0.6742345816871598,0.6979380175870709,0.6682261639670888,0.7205116996493782,0.7856763574010021,0.7283505787279474,0.8116275633105724,0.934024801071039,1.1051784121020456,0.9338899410398391,0.9513075197933789,0.9015411197998822,0.811830628595477,0.7465144191598394,0.792246071902815,0.8560102525664909,0.7742384874252287,0.8089117234325696,0.9116114291949113,0.8951329770650341,0.836252264828376,1.0609202559479374,1.1691036653893698,0.941942947301281,1.074350281956819,1.3275166510255532,1.4656069928065023,1.2598524019839037,1.0023304841847414,1.5336695550840964,1.2595253750248592,1.1647761277421707,0.9352565306436702,0.8173785628447041,0.8151414785208957,0.8585239759217889,0.7575525265320349,0.8319398251570724,0.7473606597218201,0.7736512287151445,0.6984253866432013,0.7377053509681379,0.6242065364548418,0.652235824720932,0.6687395137006921,0.6418045943456231,0.954226130654898,0.811582523493318,0.6458897115271985,0.7515596827550213,1.0741586234016793,0.6626132867077781,0.9538569051427701,0.8988282214895617,1.572226506755484,2.2402698642018413,3.27958478496994],[0.856402219442929,0.7560695343961161,0.726362172339578,0.580026044717309,0.5958573307051287,0.6271469239977663,0.5876151756414428,0.5653606681495389,0.6554789754921809,0.676543151074994,0.7198442169552578,0.6803923209112546,0.6737894787627325,0.7547801462091748,0.8147996819014067,0.7591879714880173,0.8295808158319262,0.8766099273456396,1.0533449165643158,0.9074463716687249,1.0995967780536862,1.2641427228752662,1.3257551460584271,1.4994309517587918,1.315815026519126,1.0612733634757463,0.8638966722473393,0.8415047220613566,0.7965251138159255,0.7381919650832829,0.8495169538954714,0.7317264606316538,0.777968497421313,0.8080617100272689,0.7566300393150581,0.7999890304041734,0.724738075637745,0.8438597632662871,0.8079375113707095,0.9541193995732611,0.9678387187819275,0.9788776252819125,1.1764713445138903,1.4620043413908175,1.6341983167395369,1.7682167389848262,2.3991084951573267,1.7987323464634466,1.5932312423397734,1.88608391244956,2.056292668864203,1.8970485764725074,2.45703171163087,1.3649077535559002,1.8450106870402792,1.3080210404405177,1.2019841418700474,1.2568074909547144,1.216794598724341,1.3512822377802565,1.1528722835904703,1.0257983612779633,0.9902744717579689,1.2817640108512274,1.1677137860954097,1.006784318682624,1.1832661746118922,0.9864098188637842,1.1508545311543648,1.115641150180742,1.1646724743836119,1.5203280922334113,1.2216708927725202,1.3155410384056836,1.08593681363948,1.4377910698092833,0.9697221236819924,0.9535630026067374,0.8892357346356519,0.8820121416304587,0.7099690728573285,2.3453310294592216,1.8873552629666492,1.3205621485651078,0.8791390018136079,0.7392872812449546,0.7778749660572021,0.8126561734050658,0.8535820737557134,0.8433299086336961,0.9007466837922843,1.1698204173606848,1.0516399288202876,0.8668745085012786,0.8576619095915435,0.9609591431134644,0.9349402987328859,0.7920856118086045,0.7273548822799222,0.7394893286351929,0.6798137467662266,0.6677303765977698,0.6012238479505343,0.5927639973897393,0.6635141250309908,0.6560119037530593,0.7632639101167819,0.8432152987409867,0.7536636704033768,0.7700365022562319,0.6784835678244416,0.6165154091391611,0.5533268720303363,0.6116397648849062,0.6691635750828469,0.7069153850583758,0.7987469904653368,0.8927325986246006,1.0750419170377281,0.9255154546162219,0.9708085748229172,0.8420849151825449,0.825861239087031,0.6999049502324328,0.6257018095262703,0.6028430282738684,0.716310326259009,0.6228736622470873,0.687347112838666,0.7386527433384736,0.8145380881554892,0.8489693632671378,0.8797632574493678,0.7807628671749327,0.7935659625590102,0.8747704815689287,0.8228169819796274,0.9078837691009481,0.7340555438332428,0.761422812674462,0.877804887975757,1.0897331740688612,0.8966242260666456,0.8044929223951847,0.825550884116793,0.7508927259569607,0.7082210484236121,0.6440049466198562,0.5767778787249702,0.5817960442644478,0.6256593541565575,0.6342061220988378,0.7344088756305139,1.2908503001943015,1.0375904015269763,0.666939194093322,0.6177069514512551,0.5859995398129353,0.6109701783872084,0.6071854696857466,0.6508764393109026,0.7092478105524529,0.7693998633379532,0.8365581970224513,1.0978874107057985,1.010979192804742,1.2554362385369027,1.7635359978067726,1.4699521127266644,1.0725949072301806,0.8941442671618867,0.789240921514372,0.7772446107835357,0.7441704355748037,0.686624687643806,0.6460298749812111,0.6534921415442617,0.6856533791649987,0.6895707891618956,0.6912586776794861,1.1555737047921428,0.6910900765997826,0.8053368580250506,0.9546612890188121,0.9249055673928156,1.041412850908603,1.1195049183017518,1.5052281814427535,1.8577510352560673,2.0176904159306015,1.936196514164713,1.4941346972150933,1.6213801421682565,1.3155021297203684,1.1301828682258768,1.2788235656246851,1.0329766074409537,1.0500502949151527,0.9760276095956649,0.9578164802336046,0.9118012191480424,0.7990775458740659,0.7678668970050123,0.8470015528740308,0.867878770718143,0.7723598951481067,0.8057113053697613,0.9311220722636185,0.9074731647251312,0.9003316540221556,1.0041157573057318,1.119606474678741,1.1075535961368608,1.2812025707534127,1.3788687670122122,1.1851617283293645,1.508868202740084,1.2495240042284954,1.1158695345933045,1.2466633907090952,1.4176430728495457,1.725126998681696,1.5908554393694143,1.4385510750548183,1.2575508456254192,1.1633948932652673,1.0596303376024365,1.2033583095586662,1.3301365680471569,1.1586186213339673,1.195350742511922,1.4959679441463405,1.441277407150499,1.2425372816598608,1.4402270969241493,1.7329967539234665,1.4432083236455924,1.3839537860625801,1.0852766050969473,1.0553334500329568,1.046675783805938,0.9478704502410481,0.9417750162212968,0.9557494978109904,0.8962580696030208,0.8638083434682494,0.9386166403669512,0.7936850697021361,0.7834019771187,0.8112302054890635,0.8642112700763709,0.8748163625980461,0.8447850847225862,0.9825368984694367,1.0891692338066703,1.2015474721107873,1.1026688741061557,1.1532817886991025,1.1149041036568637,1.044274749380239,0.9535431368857014,1.0145186992499287,1.1149549765295632,0.9832235527456847,1.0154466393141415,1.1478867394122716,1.1240864874346588,1.0442359256969391,1.3029366531815771,1.3720170465521384,1.1703141674636135,1.3096259293327575,1.5521736161468775,1.6883715299912663,1.461573093944431,1.210317423910602,1.6729491792556825,1.4093352623121103,1.3901185408263221,1.0832221357668785,0.9610320021509761,0.8983504738402671,0.914816626600736,0.8781024449287561,1.0108300531401955,0.9029231208632442,0.954815160531165,0.7835818997915845,0.8279845516321891,0.6749453929527547,0.7329907307533838,0.7265136058414718,0.7189727220126396,0.9205589719910531,0.8200346385457231,0.6994443100979783,0.7768658371967172,1.0394024753589535,0.71677232951905,0.9811416148259023,1.0302880157057563,1.4353225142714567,2.242991904213838,3.4390361660246254],[0.7668048121960902,0.6776495173833001,0.7338447980619476,0.5107473869729068,0.5919925250313451,0.5804031866118453,0.5120905415578403,0.5227514169543102,0.5129568097266992,0.50421812762874,0.5131469908694475,0.5471454565516224,0.5177843889420635,0.5321402363880188,0.5910725259778323,0.5797114250654628,0.6264722001737401,0.6537910096467153,0.845265495140407,0.7174718564321751,0.8829360529232423,1.0964882273880148,1.1471200745538528,1.2848375763486475,1.19490716497831,0.8800051809940542,0.7034144942907841,0.6702686774077552,0.622740086611594,0.5723111378214548,0.6573625234838644,0.5568843433480584,0.5860218917590562,0.6339843147104047,0.5929123596060258,0.6191010017343579,0.603429996898343,0.7174668823350803,0.7161742100136833,0.9065390218785412,0.8660147816139024,0.8257784123297416,1.0545105283549296,1.385948144676649,1.5275141430591228,1.6793472333791855,2.299206574590138,1.74613243866733,1.5655038781309236,1.883647163438825,2.0800051562518456,1.8339941762192753,2.3869326003080373,1.3799045336631208,1.9332930227190472,1.343985459629602,1.1894498140814331,1.2919206510147085,1.2326457173915668,1.2788318941181693,0.9926457845189937,0.8583547425926302,0.7908021996138187,1.0507093548580873,0.9524711192561954,0.816815847861116,0.960713230994135,0.7530606561386769,0.9135338228953087,0.8800899875410096,0.9815096556962792,1.3755090048303251,0.9732313116212684,1.1019773891289202,0.8209920070601328,1.227372504425968,0.7630716494548632,0.7508144296420096,0.7236086228146404,0.7244469461230878,0.6513754110327473,2.297888079539622,1.802746603788916,1.3820543759815105,0.8543393080544558,0.6794183743278881,0.6815540676470212,0.7154191261139266,0.6751013625570994,0.6756528794040781,0.7060952002691967,0.9737844255415304,0.8553356880484555,0.6644699507153428,0.6394807464496707,0.7324420221864267,0.72781494204394,0.5908570820728694,0.5615491689189634,0.6302999300453596,0.5776889117603804,0.6621364044614029,0.581882484186445,0.6448811226010291,0.7770599272330727,0.7513279696696946,0.8918950674154583,0.9801860479875143,0.8595002093618266,0.8170065579333092,0.7175094298339253,0.6527275529667024,0.5467331272415771,0.5549598049325085,0.5394916181098605,0.5774147051648298,0.6339217647684783,0.7090853294057019,0.8489400665929998,0.7058995883330339,0.7531493194882629,0.6537470570339441,0.6477750616425769,0.5435623910667252,0.49474947870616687,0.5625364677268828,0.7284059975144904,0.6983029497184621,0.7736288673409524,0.8520809562233504,0.9517980848057863,1.0243085932164808,1.035470612643942,0.9286264022577331,0.9173483565846755,0.9289206818257207,0.9076087218736001,0.900242801532444,0.6657281566167836,0.7160023268001144,0.7787981579206056,1.0239599270362947,0.7623859749212506,0.6937755510133008,0.7254432815547738,0.647481574565802,0.6139285214176613,0.5766616919084887,0.5546156797849604,0.5328014698031633,0.6148137597669546,0.5532625798259274,0.7011166518425227,1.1456122450920414,0.897840959842701,0.5742132008965549,0.5338660794762491,0.5694549570784811,0.5648303718616839,0.6440212073255158,0.6662650215497189,0.6483447116545057,0.7252363191264427,0.8063829128504659,1.1082329327518408,1.0286951914356384,1.290621217815519,1.7421537401788354,1.4864462433841703,1.0966735831447663,0.9600276524785997,0.8207686753160037,0.8334711365569542,0.7816517214532697,0.7096999176778531,0.7101820751861043,0.6250713058714916,0.7052122128122854,0.6879189932606915,0.7634214879590288,1.149959287957794,0.8013383215028054,0.9500560471786692,1.0913264466048853,1.0305806007744707,1.0998573595952286,1.1009900342999832,1.5039986260216958,1.816830942463491,2.0383043659043834,2.0108227260681093,1.5485794884608015,1.7001245019914175,1.419806035959708,1.2842720212948766,1.454096952629574,1.1908889624561028,1.219774281482715,1.1142178855225362,1.0760637063629048,1.0301035427954042,0.8999597911328208,0.8644282733038412,0.9492288122949402,0.961969973917762,0.8335135279974754,0.864646681810289,0.9770919028065798,0.9378457708596416,0.9121499520435687,1.0154986949609195,1.1133386926841615,1.0950253584016925,1.2788520851628242,1.3757189582833895,1.2422833500044146,1.4639276351437451,1.2960467718324837,1.1546281639815816,1.2744052939634563,1.4831651337396776,1.789998617539522,1.6639726799107768,1.4983219967112686,1.3285411245180734,1.271308979584569,1.1755600175011283,1.3468703729949094,1.435831094286832,1.2658249645070685,1.3225472108341705,1.614227844761306,1.532133953725337,1.3633631849352343,1.5822026912134828,1.843641270755562,1.5321022722904725,1.5078057977254142,1.2201603358923012,1.2099494908271946,1.2078607177724663,1.0822441679188757,1.072066161217684,1.067454424392883,1.0029039798681807,0.9929091093315023,1.041099055492754,0.8876520648898996,0.8752475327504374,0.876187945909705,0.902769083666227,0.8700334135473957,0.8801456932214984,1.01458721678261,1.0797822758308986,1.179102381056339,1.1193836302782378,1.1796854682471056,1.1371393932679434,1.0877903830044622,1.0191531526880366,1.09889520060785,1.1676341229278744,1.038315355064371,1.1067395716631467,1.2285650146005076,1.1875466968892419,1.142610196925692,1.3890655306659438,1.4377587392723734,1.2421754402660126,1.3911620452378255,1.639147410930407,1.7161438171884833,1.5038409498212877,1.2572050174621316,1.7108742702175728,1.4361328809118539,1.4131378043089913,1.1407769607174054,1.0250994614770963,0.9384960679395808,0.9841851883102113,0.9364807235315419,1.0646612179062718,0.9483929991270532,1.0244737157482806,0.8765266611367347,0.9374892405470302,0.7447589693124491,0.7849227210036415,0.7839081650523346,0.7708395864412539,0.8736918822293077,0.8085950577648333,0.7036563214149619,0.7294078446389977,0.9515370556695124,0.6600853089121718,1.0084346357854226,1.0605523035805797,1.3825677727748051,2.2038193620606465,3.480555815085765],[0.6814540333414731,0.5928205098021637,0.6432278248796808,0.4395582660419138,0.5184693112482032,0.5378477156593636,0.43992463965705125,0.45075224757935495,0.448298044503346,0.43775715332776177,0.43793560777552526,0.4686851726687985,0.4395077846770179,0.4634389699309791,0.5261609283148753,0.5007998693943203,0.551765205006217,0.5742648660977966,0.7472437734172649,0.6330790071813484,0.7891322758457124,0.9866892265286575,1.0523576850685803,1.2015918300885402,1.1700656980732922,0.8240712759595326,0.6370083312073062,0.5904052161084863,0.5363742022693238,0.47844972205270203,0.5697462571993643,0.4678163943037808,0.497340911992103,0.5526494728113948,0.510463454852815,0.5412999036392723,0.5215650788710485,0.6293757536383948,0.6250946622765132,0.8069840315084701,0.794419547764882,0.7461527554934412,0.9229464206393053,1.2772956427661513,1.4424923039393003,1.6026791387284753,2.2100182564228144,1.6075542169623465,1.445233999119899,1.7383849223766168,1.9219129147403777,1.7674488636991574,2.2583520120128733,1.2515819884035593,1.8420617012507023,1.250360614710579,1.083095093306426,1.2104426537580464,1.1743609382779088,1.1844478474148064,0.9526461933643612,0.8174532526855164,0.6886165435793458,0.9348069725308963,0.8629795540374934,0.7085221487807746,0.8805552315687067,0.6591806047004013,0.8143639641286179,0.8058661300769162,0.9220181477567256,1.2825354967567717,0.8936073463841119,1.0044699389131022,0.743661702255168,1.1718565599817363,0.6654007307262894,0.6450767738890923,0.6344951883627828,0.6293800512180686,0.5564997885079792,2.2921033178790076,1.8255821899303013,1.25906872153796,0.7611250666642765,0.5781283095203262,0.5967844063861716,0.6181567958120491,0.5812848902953865,0.5871999410370378,0.6139666535354174,0.8723648256659599,0.7555949460212107,0.574429923047917,0.5556616973921882,0.6571561858786227,0.6739907332273035,0.5255908289889073,0.4756964813097756,0.5580858783641626,0.4968239044452957,0.5647810879100377,0.475885770173036,0.5417951462804178,0.6408541078741286,0.6246693073430588,0.7536666381243906,0.835088367264582,0.7255119090009968,0.7213085621781876,0.6127538347530423,0.5527401059351105,0.4554531437827089,0.4636501871688381,0.4616034822299955,0.5177395859765754,0.5716253128045734,0.644606885134146,0.7677657676767681,0.630186191661895,0.6818255145144103,0.597669228673386,0.6085272023423465,0.46510435151907176,0.4204691654494258,0.4835939295046771,0.6511016388333543,0.5830354020246614,0.6659422974241999,0.7271369201344121,0.8053126026735915,0.8383530931114199,0.868549019770653,0.7730209876087794,0.7795571061288805,0.8459389214979093,0.8134518399425256,0.8537411490065604,0.605088676752803,0.6472071067050972,0.7144794716791931,0.9621379304518188,0.6950461790790298,0.6278095732445338,0.6565788552461524,0.5604668213713772,0.5296898281192004,0.4899275634198498,0.462206784526605,0.45891511697012277,0.5378614695683336,0.47572522678096213,0.6221858648804509,1.105681835998585,0.8689792862076838,0.4889586300869836,0.44135741712225113,0.4781530787401221,0.4617121155442268,0.5308162877097984,0.5630631806080374,0.5695117179397141,0.6517954414647241,0.7170167558970348,1.0036856278535795,0.9539285655524871,1.1997320472441326,1.6990353427765963,1.446189712308579,1.062465078641133,0.8662983750923906,0.7338795449657296,0.7275614373012625,0.6757592741648917,0.605510561954275,0.5871879149631554,0.5294811241825959,0.6049466148752567,0.5905577586971325,0.6422400725579053,1.077055526434243,0.6657175400079762,0.7864099976672032,0.9321014300199479,0.8941969836130963,0.9721472744078232,1.0055278287913776,1.4341008100165593,1.7549252607698558,1.963084879805304,1.8542826827371228,1.4100768582176064,1.5896592480274248,1.3017061323789372,1.1127557543252573,1.2571540575475206,1.0141555127443738,1.0158358136000691,0.9164282363415144,0.9243281238983603,0.8410140044822899,0.7375285012645167,0.7133803973633641,0.7720773799749958,0.7811624374287855,0.7008192418618537,0.7358658781839575,0.8263873398896929,0.8152497025483325,0.8268705555831337,0.9326807577360086,1.0301238676681115,1.030380808523431,1.2203831675922585,1.323242871452327,1.180267896837364,1.405866649371005,1.1339299335380035,0.9888395805950264,1.111630171086025,1.2811460760812066,1.5963475280740993,1.4091920823831716,1.319578744007504,1.1084305999974244,1.0245455795408787,0.9571836474290185,1.0845143911236905,1.1772353991354962,1.0387345488765454,1.102453988295803,1.3637210889550777,1.2966492638721547,1.1396136543771807,1.3666064287872366,1.5996188639377593,1.3177360283878798,1.3220072887980192,0.9993918434714999,1.0239884926988936,0.98233122153639,0.8812737164922326,0.8882343938718538,0.8581667297144998,0.8498831589618611,0.8122483736923148,0.8618598348610919,0.735242680051757,0.7380260143261936,0.7267373905772847,0.7687809983669746,0.792284438538007,0.774251774220804,0.8815972607615221,0.9672840191350583,1.1210081689476024,1.0083698745367524,1.051644581056104,1.0015785161686164,0.9191074101753173,0.8411444820978662,0.8919795511580987,0.9604549194221278,0.8680915828163095,0.8995974762926268,0.9986451406090566,0.9823675835164234,0.9218302212204607,1.1424091583134597,1.2196804545554236,1.029010614254001,1.1647170138294924,1.4032747845619096,1.5320463103674857,1.3282263276213753,1.0834074719484013,1.5855853001760032,1.3252774320348981,1.2728894066615817,1.0149215228452966,0.888732768450978,0.8605738843616132,0.9106021791990521,0.8041154921186074,0.8870318785042818,0.7902683059656647,0.8507575802737465,0.7343171874548496,0.7862580310505358,0.6276679053799463,0.6670183967647603,0.6622088311649276,0.6416468872792677,0.7928790508151293,0.7109912825023988,0.614387543783906,0.6573924713937433,0.9061922805721901,0.5900996328154116,0.9758554108556932,0.9538765818405458,1.3594726129490426,2.1740750492241063,3.3629749296451106],[0.7525126012309818,0.675683983742506,0.6871355981568781,0.5315225632775286,0.6143177713360046,0.5768796386179337,0.5426162783688399,0.5407581948905092,0.5681148971809871,0.5632318079369996,0.5685042425397582,0.6183822884430776,0.5664568902761893,0.5946057637477571,0.643581221281034,0.609924684694378,0.6793989386041527,0.7010515439043249,0.8406499358616124,0.7324704331793325,0.8965673871099731,1.0788179133162183,1.1089138125275544,1.3143026182312008,1.208873885577792,0.9090517194471927,0.7503513501398925,0.7118367593087426,0.6585787258644628,0.5989222501213595,0.6797667352545047,0.6024230892439564,0.6201093475770352,0.658745254743166,0.641114960440147,0.6660935637061286,0.6622765081374444,0.7511652550517669,0.7439839541488675,0.9123029465968525,0.9192668901574748,0.8692502654470883,1.0242224609993265,1.3676126298394855,1.5396867388394406,1.7106398410696888,2.3136730828627314,1.6858648547596502,1.5225637331554214,1.8071979713769082,1.95895684549088,1.8647981032238432,2.350713600481378,1.3213663736336236,1.8714322140577093,1.307133960853672,1.1357227425974057,1.233593332533015,1.2232212131780194,1.2277825383021768,1.0242174151234293,0.8970276534387966,0.7867990424018849,1.0234171719959662,0.958785027596993,0.8131774587657419,0.9515437983349438,0.7618237599897003,0.9001121419843159,0.8953913346198878,0.978878548006024,1.3202533653576223,0.9861433559924173,1.0897626138065906,0.8539777248496062,1.2647758038911125,0.762910131612357,0.7384212807463745,0.7422885502865643,0.7227699103552906,0.6455546964474063,2.381778607211533,1.9743081387007815,1.3017257024226212,0.8845291218717249,0.6913714617965963,0.7260653673619564,0.7205137760370094,0.6920086348485921,0.6913062113961558,0.7064905503842034,0.9841382055284021,0.8444529989473187,0.6793365621394187,0.6643937367619168,0.7350495488233781,0.7376550546350468,0.6434808511775132,0.5927613009227702,0.6741017180935478,0.6116419686281869,0.6770290807646788,0.5954728515837016,0.6188195417101721,0.734081322610636,0.7140040014584615,0.8630469368818623,0.9372885680613083,0.8346053146157411,0.8469824024400213,0.7336507315620758,0.6791027135323053,0.5648405924646248,0.5865454528508807,0.588515035255787,0.6297431733537096,0.6767713043069538,0.7705485908609512,0.8835538689507594,0.7550480422574596,0.7968737191678595,0.694782831619883,0.7272443349683362,0.5976752778788742,0.549408582560447,0.6207304893847784,0.7325620530161399,0.6942600553969127,0.7779412743250653,0.824066637017486,0.9144002773900802,0.9344825941149203,0.9698096774078776,0.8710193870519668,0.8895212561474535,0.9636269692766481,0.943919126362762,0.9698476416162592,0.7480993107957797,0.7779329301163674,0.8753792650341715,1.0882852115601818,0.8332900774908009,0.7648994541012192,0.7840298509456793,0.668375069389037,0.6398721746753889,0.5924408192691345,0.5857964066113048,0.5532411089736418,0.6328539283562769,0.5760728478948174,0.7149075218586463,1.2074432025655837,0.9587851244869311,0.5935517248466773,0.5603462085980877,0.5825978069510428,0.5752036812673731,0.6637666656534913,0.7046624203915431,0.6887534008883293,0.778212192868267,0.825147193526835,1.0644383446547476,1.0429456107581065,1.2952726492816689,1.7960433682123695,1.5509608355161613,1.202521666954454,0.9915048945237102,0.8712981068513815,0.8591636555970698,0.7986057732604347,0.7286655374119212,0.695985557906344,0.6445840086440329,0.6995923732149142,0.7201671632623915,0.7460954285857028,1.1420310460650325,0.7790839758346423,0.8981140694295411,1.031017596232783,0.9945122492795418,1.0693593818095888,1.1112557459522445,1.5297786300114748,1.842602728778768,2.046038846973539,1.914856530531263,1.4682860361460475,1.6592304139064378,1.378453066796292,1.1844297059618625,1.304749528869358,1.0872975406127856,1.0854300784794142,1.0085499314503326,1.0006588303125445,0.9195304071751361,0.8076990755377519,0.7971279106957394,0.8322811688616778,0.820647264120163,0.730434151553287,0.7530343821824161,0.851948768416082,0.8296276582011419,0.8210562121504444,0.9094774711170103,1.0113928198422752,1.022191993051313,1.1933197241514477,1.2757830571762105,1.0796403530777112,1.39836455352618,1.106329539317708,0.9959381636438104,1.098650065008176,1.2681031321331995,1.5830401015723128,1.4455922360113103,1.3561006215870859,1.1791039212852172,1.0943776226214115,1.041934460123357,1.1424566962892095,1.2491587876777752,1.1067121193428884,1.1691716969262236,1.4280680393511127,1.400651042907242,1.215888067534431,1.3922331217468082,1.6723784528885297,1.3923563493513202,1.4056430646816676,1.0824514130281486,1.0733254908045442,1.0493648204354458,0.941550743963079,0.9416910598504589,0.9290805165146809,0.905139593060116,0.8822716770550926,0.885523239594221,0.7713870207832734,0.7819526924110429,0.7742443808531725,0.8125213414690752,0.8324833547898958,0.7801099295568693,0.8958645051462711,1.0043694628877207,1.1329561166534925,1.015320081680779,1.061236705746375,1.0205327002063302,0.9514625261068369,0.8824910174259261,0.9249484163998337,1.0004490542171145,0.8974411745103481,0.9433538895081182,1.0427162883862688,1.0185794517810505,0.978308264730255,1.1874227860824775,1.2722516319180697,1.0818589897676016,1.2289601286694998,1.426474815959781,1.5734350664587806,1.370131010151132,1.1375463400203123,1.570525560326105,1.3233091587682604,1.2468094977021686,0.9827981354984803,0.8760676409315127,0.8013363677211364,0.8179839948910577,0.8340493007080513,1.0053535917799443,0.938403594744346,0.9486141103175569,0.8404589620104902,0.8790467557881068,0.7373390149769382,0.75177801795793,0.7475110355585259,0.703930563397881,0.89692464563786,0.8140365639849344,0.6627309950574731,0.7341046405931705,0.9921402141572216,0.6718521892921419,0.9659404310809291,1.0504085210900482,1.3843558925737345,2.233978736353426,3.472361985782278],[0.8789013425665969,0.7770399527824896,0.7815635731908865,0.6139088797426048,0.6969395180742922,0.6478085796191811,0.585940866900926,0.5801722838154618,0.5955397139318879,0.550447720362913,0.563133536461783,0.6173551791036732,0.5606810945868755,0.5723565893377207,0.6043525652001369,0.5749860280887659,0.6379506975907473,0.6493859747532693,0.7868527635989502,0.6780281334334147,0.8349854037867609,1.0156421541385867,1.0905484963987673,1.2497083269628022,1.1925357601439708,0.8591138231143934,0.6701117405925935,0.6373729248986421,0.5949408282617881,0.5573117932732923,0.6358815488363982,0.5544918152306769,0.5738807551708469,0.5974874076698329,0.5760859984900697,0.6049943096333182,0.6008238897974885,0.6617818319654706,0.6543736566322312,0.8211179257669351,0.8059681885181869,0.7580267191845208,0.9114796783740121,1.2612716194779328,1.4340208759463031,1.5913034079243167,2.2020562857930193,1.5952657993486978,1.438461142764944,1.7474732423930566,1.9329488353527733,1.7752250103347997,2.212635198632061,1.2234666409229102,1.8320677123618478,1.255483423688004,1.101803436756481,1.1986139360380041,1.1733307348414064,1.1876636072955848,0.9980764766495562,0.847416086686526,0.7268265527665682,0.9816017507599069,0.9003184339326524,0.7478989004313874,0.9118619287767714,0.7139594414525178,0.8680320616457751,0.8730694319056335,0.9769240934189694,1.3127083949117462,0.9636428297291859,1.0543066489625768,0.8125661159737378,1.2202339101940682,0.7146992554018565,0.6792103006990003,0.6819798047238165,0.6754766743487439,0.6090944320965931,2.3053585931562504,1.8848359368921936,1.2598612838137797,0.7943651449887797,0.6315877752835914,0.6425730122910644,0.6881648294832314,0.6384372399360779,0.6376561056219487,0.6599290827202218,0.950150655662602,0.8073141801274812,0.6427996386270984,0.6296675459465866,0.7017138358892928,0.7292483582466155,0.6169737732646101,0.5822890411837218,0.6969296121919893,0.595852995651576,0.7145759988047612,0.5970547980749654,0.6489732615383113,0.7481798303631039,0.7463147708469076,0.9209267715425478,1.0178365182276425,0.9138067330906314,0.8557651148141923,0.7748469342417362,0.6758908164806047,0.579870605015498,0.5609190680094466,0.5703674107915943,0.5931045646586925,0.6378755174406509,0.6973895809327705,0.8254571370863724,0.7027943568387702,0.7575457051283756,0.6747778375751989,0.6959821060214456,0.5643887386806997,0.5217425783543137,0.582974932830029,0.7997412156201266,0.7042799571067144,0.825426971706452,0.8447916182643598,0.9852088399640564,1.0320969550294625,1.0096265685065613,0.8996347247447354,0.8806324864769894,0.9059216442064054,0.9371154174986867,0.906120931228388,0.6505259524194015,0.6765526475692125,0.7215864910655784,0.9514168387801016,0.7169572646495089,0.6560836090936878,0.6809997302334789,0.5984768414659319,0.5873136592883883,0.5775069287562273,0.5775967611319189,0.578258744496953,0.6500438042506252,0.6140875270561782,0.7933878490034775,1.2155330391911086,0.9669158304660607,0.6264374809366275,0.572485093108379,0.615692377515561,0.5794752540862707,0.666250392891605,0.6471915186438828,0.6409998090560947,0.6939795528164739,0.7473661703325096,1.016503515404074,0.9614840503983225,1.2238914002474737,1.6996219433029331,1.4731369087651645,1.1218008675451274,0.9292194348119567,0.7932887407065705,0.7922176117101568,0.7433280163303297,0.6795263587446839,0.668311330721622,0.6196774150132892,0.6753055771651078,0.6730430533202572,0.7285627512968186,1.100751891864442,0.7799609503900932,0.9043643716765893,1.0372385341224906,0.9616458498761883,1.002152163909363,1.0167546975991482,1.4788061855086936,1.7681655798200577,2.001669255708702,1.882297109064602,1.461962508689736,1.6446586725633308,1.3760033365028843,1.2445116847268518,1.4224812890615368,1.1718149616745157,1.1996271002152636,1.1450457989686258,1.1077969917561135,1.0797490275640278,0.9622812640833632,0.9219908265753037,0.9896972889115597,0.9930091711812026,0.8694878168771223,0.8869755648357062,1.0099230762230458,0.9717727943650936,0.9154640974799078,1.0041214107243732,1.1058556302886675,1.0751538493810915,1.2336593721387823,1.3049544322606794,1.1473561740875808,1.4803078146863815,1.2683053367374346,1.1728884428523185,1.2835953399242848,1.5074084142000495,1.7955159134044827,1.6975008068073707,1.547241111896207,1.4034279501908442,1.3242019169767756,1.241851356593868,1.3763800520432055,1.4768002660978148,1.3004921373070681,1.3800138364552803,1.6777008183553501,1.6094795346154622,1.4123999419624953,1.552003592853756,1.8610554924235676,1.5660726013836914,1.4818050604505661,1.244766726527844,1.2094973172392205,1.2430748756397412,1.1431953893382965,1.1246705467970302,1.1082183324088617,1.0578267389508984,1.042100267885732,1.0818595786959504,0.9538133940324613,0.9266696967944827,0.9348447301236391,0.9579405033268181,0.9300944703157163,0.903321897298974,1.0493414655769282,1.107823477625981,1.1694733800443367,1.133485041903789,1.206072275113824,1.1820474738052924,1.1405284204958541,1.0775589144698032,1.1475054325688794,1.2031458567745614,1.084182242396369,1.1495099184919968,1.2559424715480256,1.217997292569099,1.1720762677862242,1.4055386708347337,1.474100616839433,1.2787724381110086,1.413779848097967,1.6754103550035262,1.7685817821047012,1.5519064624979069,1.2945634327803974,1.713509643537239,1.4275840618062203,1.3847888279105047,1.0888046592970257,1.0026900263139962,0.8832379811609685,0.8949317306288576,0.9421319947867998,1.1134465351909724,1.055190069798002,1.0805272023186194,0.9411770314444562,0.9894160899095439,0.8027353415518865,0.8439562841302138,0.8468469242525213,0.8304706208823145,0.8937851713864865,0.8939419093186441,0.76579112559496,0.8064670252462576,1.001360185005742,0.755732929758287,1.035190126936782,1.2203124384112634,1.4223916770050806,2.40468750446928,3.8397801073731537],[0.7808375393625242,0.6835052500507995,0.7397803020726946,0.5666020192797606,0.7121138496485062,0.6665148755100436,0.5928211712748344,0.6010215423441198,0.5842668584875362,0.5615210729696793,0.5487745922106881,0.6104049701459839,0.6092216919216049,0.5746319857982565,0.5998985151695605,0.6168129842562804,0.6830462964292642,0.6970910970396835,0.8127432356746869,0.7513259606157443,0.8595454184686127,1.0190583128159643,1.1264675921558385,1.24332015320601,1.2619110448307012,0.9044353926277762,0.7446539019541324,0.6981705622449486,0.6635928987805629,0.6188302247675453,0.6781671374303205,0.5918538132896523,0.6062344030307417,0.6390218334973672,0.6311132746848075,0.6687674897834035,0.6601977204524501,0.7224529171604605,0.7281730222772816,0.8797288772624949,0.8486898867430956,0.804039886593929,0.9250550924470969,1.2641522811400114,1.4310354509894576,1.5840524576965163,2.160470174339133,1.5747758957774372,1.4432598979334033,1.734986936601849,1.9421760025232522,1.7902819417761904,2.1546114943963306,1.244366997158611,1.860587844320158,1.3186875305223278,1.1558295362330449,1.2647081676706453,1.2370385997929474,1.220598094251674,1.0734524869073534,0.9370341227683886,0.7845593053350235,0.9946294018159341,0.9218603979945545,0.7942268624182439,0.9375901539657907,0.7570789816998769,0.8847698999689384,0.8677250536335781,1.024923117418097,1.331023904489983,0.9535232755859143,1.0432060410327362,0.8222415789063646,1.203466232505573,0.7706332711896395,0.7251397271119131,0.7442413474825774,0.7546356143713314,0.7488909917827086,2.278146084440701,1.8543354431563466,1.2727189118806737,0.8403800072420993,0.7257663882878655,0.7188156146828876,0.7670773828906388,0.7187049133408098,0.714406250247267,0.7144270607243685,0.9522103254442913,0.8119456371801379,0.657783183288228,0.6461986793829396,0.7170217540544493,0.7465477847145037,0.6366625020747209,0.593566547842217,0.6860930627263738,0.640578282502324,0.731829893734417,0.6552029707753263,0.7216391973854603,0.7965545810638726,0.7971170225660527,0.9321716914834881,1.0247720358174448,0.9121099738290622,0.8736019218856721,0.7927559377367691,0.7040618060827352,0.6262895975503696,0.6239109043849237,0.6274856847605907,0.6611412448289656,0.708761262489168,0.7398132055225565,0.8452657713765105,0.7347576760026617,0.7703948425481326,0.7040189223902039,0.7219224190867581,0.6084913394603255,0.5488030922911015,0.6295283831849081,0.8217362264694952,0.7404320376227022,0.8540365012791532,0.8852288968379833,1.0094638283632338,1.0578239924631703,1.0424829416746633,0.9397669617967439,0.9255255416481194,0.9397943732316266,0.9705430064311946,0.9427644246626355,0.7014025647195393,0.7317583421374537,0.767154846225546,0.9833608714814495,0.771102476412734,0.7209051873331693,0.7462970558495005,0.670579274897524,0.6626590892334919,0.6612050981343475,0.6469003960120021,0.6436762963746221,0.6786895330550172,0.6209351533231215,0.7856599779162824,1.1653924710825563,0.926905868069435,0.6377582900902644,0.6036493369069558,0.6645235905668534,0.6379505524642415,0.7086488047136245,0.7022898529036019,0.7151014986348002,0.7565332375376684,0.8064855154683704,1.050362699599999,1.0177205141990147,1.2301872017471929,1.6780347088937728,1.4762084369115456,1.1575305127703013,0.9713065178822604,0.8496365592113355,0.8478741684144223,0.8014878716394854,0.7450588064626277,0.7335739482419024,0.6893983502255238,0.7346338238592451,0.7415263750566666,0.7855327637014399,1.1205068520214563,0.832446078102935,0.9492694282556109,1.0746152985820334,1.0050370478262183,1.0391191626095033,1.0428919330304627,1.5005256253676391,1.7760349807065352,1.9998952440885274,1.8712051192247976,1.4852886019163745,1.6500610593244345,1.3944312125469411,1.273918462701336,1.4437649481080121,1.1981549166198193,1.207753671510824,1.128694773037617,1.0970353642403206,1.0403463683778278,0.9281132885457055,0.8993186400219778,0.944240339274161,0.9383910956919637,0.8258515506695874,0.8425462607076408,0.949125731182624,0.9185047223493183,0.888826647645283,0.9740418201427334,1.0759963690144283,1.0696958227362787,1.2555576944578788,1.3193193764488245,1.1566316666388952,1.4314305698082077,1.1988830704059452,1.0817522037593048,1.2009525513043586,1.3929176457849635,1.7462848261536006,1.5712264304050378,1.4522904495601021,1.2955515302866265,1.2283613240110705,1.1632618660887828,1.299869732058509,1.3909576599501223,1.2289936387246674,1.3303624614035703,1.6106381701926868,1.5377492825181158,1.3682052193260714,1.525784279310653,1.8118399408537358,1.521483222216906,1.4715011167849614,1.2157185076456487,1.2046461714650256,1.2135930133993926,1.0852606777741747,1.0938911062031467,1.058755558921808,1.0361572647642223,1.0122636244484227,1.0482380381289926,0.912280523595663,0.9054185124878612,0.8866282615150985,0.9085182333372656,0.8844642850263488,0.8736193384955337,0.9881159376352141,1.0479871008370958,1.1437796883559432,1.0789389225349015,1.131698425084419,1.1087138914235384,1.0537416520776322,0.9983312065278609,1.061566246681348,1.0996011051821706,0.9999619234547169,1.0628370265540785,1.1508354996556625,1.1138293877807695,1.0913357673713213,1.3032830431226745,1.3617190628789362,1.174243912429978,1.3352295200523205,1.5622574941304175,1.648257399778474,1.4430003685950268,1.1931770825543433,1.6199016435745914,1.3400342223972868,1.3137071421443673,1.0338788811887862,0.9460424873953025,0.8745797980780355,0.9020435702495148,0.8754738725711485,1.0321163172974472,0.985129963533042,1.024563693519638,0.91315935578168,0.9781138698116801,0.8140419639063413,0.8382393871788495,0.8408671161894782,0.8050827697569687,0.859607183694763,0.8651662262879994,0.7334900410205966,0.7484498720508521,0.9447692290066095,0.6869229747473068,1.0442457268584966,1.106024294389764,1.3476036390013546,2.3269195798201823,3.714857310141941],[0.7428593418956826,0.6525619785868346,0.7007673473667256,0.5278141847450115,0.663952020225935,0.6115324765065113,0.5299769670463634,0.5269616402037036,0.5010080118859493,0.44677707363953956,0.42482241002520466,0.5282548053859358,0.48713031707231336,0.441530057695478,0.4736525744032411,0.4797982382689779,0.5501856600238852,0.5413195925414764,0.6371393546831166,0.6127187498781413,0.7293886167051191,0.8529749142020642,1.036857298767869,1.146972403275118,1.2327963345811779,0.8281588835247802,0.6201636720503259,0.5468925810707791,0.5116355301251323,0.4840335285360579,0.5457467883286227,0.4812700722673204,0.4953169703041459,0.5138408513184833,0.5263697742483805,0.5526716770051346,0.5737134160721722,0.5931283126205866,0.6112318659585202,0.7653036000707027,0.7418282087454096,0.6689636264582594,0.764123303706462,1.1029911415561098,1.3140697721700365,1.4900868811554004,2.0576180927756824,1.4213774383036806,1.292678571779471,1.6163021423419552,1.7561991386285594,1.7125266556715117,2.03653758269057,1.1519223870027235,1.8223438775542473,1.2451157589629986,1.1327042212941691,1.2324929940194054,1.2167039119474086,1.227400893771535,1.0485268336564773,0.8858387724291725,0.6629675425925837,0.8400587216266061,0.8094541484826574,0.6736055835912808,0.8165772562266005,0.6082007250210136,0.7531098012474828,0.7489391418977288,0.883119806142286,1.1715253777302985,0.8219852742375899,0.9330384223576388,0.6853949184443349,1.0988560657175466,0.6215373847774828,0.5842386788569857,0.623919402268808,0.6523929081253941,0.6949045535148318,2.170969224179635,1.7909088347507087,1.1348805325220683,0.7989329366491078,0.6769919038053707,0.6266569262617487,0.6956327913801504,0.5848694371671798,0.5775942615504546,0.5729636053034469,0.8384913221114895,0.7055858464104574,0.5289002759204183,0.5102065840808238,0.581028078132404,0.6226564477282882,0.5170903905879538,0.4825618540920736,0.6590818627576354,0.5601118754815748,0.6751492357525274,0.5829891857870458,0.6893930175568862,0.7683245072786332,0.7763221604373933,0.9216301370725547,1.0012648131361441,0.9022509143604183,0.863863160611679,0.7643934064847937,0.6736895359949497,0.5627218342335213,0.5410304048126717,0.5019088323749531,0.5343985986102129,0.5703480206787329,0.5943544400000328,0.6968846901592002,0.5715941025744069,0.619009026454146,0.5690092563167094,0.5910188049591856,0.46977045701191306,0.44797742213305963,0.5624909446160319,0.7224287985262396,0.7063945674718332,0.8322534469295498,0.861522520684941,1.0080421534852024,1.0533746195068325,1.0190286215794684,0.9101742536648976,0.9027915884567429,0.8774767538316368,0.9510267536268013,0.8991713824715624,0.6208593257124816,0.6341050510281934,0.6649138712700124,0.916191445424748,0.6501650989588394,0.6006778284877581,0.626881595094846,0.5371739243983721,0.5324252992088455,0.5472808961205529,0.5610449100038262,0.5546473454869829,0.6220634259177988,0.5599287295038446,0.7652574470864603,1.1999972981567812,0.9529291396483986,0.5758517271903107,0.5184527219822322,0.595315392273825,0.5456285876196877,0.6678472608507866,0.644210391829334,0.614157902586671,0.6559514622117063,0.7047407961285429,0.9420677217738248,0.9110927191279298,1.1795280526158347,1.642087836629003,1.4449050526275742,1.144173609656905,0.9417253619654091,0.7868077470645946,0.7976970959553996,0.7306769996108687,0.6722480585898014,0.6598165006532722,0.6229306566612349,0.652723279270682,0.6737338867575661,0.7314611037853386,1.0605311653710425,0.782802427392747,0.9012134854229009,1.0110448607328757,0.9334194331776038,0.9440085730249878,0.9671899512642194,1.4263970497190606,1.7202901412252383,1.9387605413074942,1.777630040224351,1.3707588244314453,1.5704396743508011,1.3370623865286644,1.205330779381108,1.3787459345020463,1.1984303109714844,1.2148365082419885,1.1582710583608988,1.1254532147852943,1.0485573335356109,0.9360140523375868,0.9126785793756532,0.9614245441830743,0.9388085287032315,0.8215914942521837,0.8500356453284503,0.9388741622671202,0.898710829698229,0.8607870233034619,0.9422199954397404,1.0370378316601756,1.0322328432525232,1.207257514372139,1.2701866614931183,1.0883329029519935,1.4055955916306466,1.1436488033468464,1.0492981568950697,1.1488286095057951,1.3169938822864597,1.6136893117873568,1.49354225942635,1.423037591537006,1.2710751179213686,1.201292176148634,1.1598316021871802,1.2664002786918787,1.3528021358446263,1.218948835698991,1.3162255780206056,1.5476561611803366,1.521767806723566,1.363038233776626,1.5086872133449893,1.8003183986882834,1.5106695060370139,1.5206483960952109,1.2299597820359027,1.2102727350895806,1.2014971393117049,1.0778585302278234,1.0787583503676395,1.0467042622236433,1.019523531618892,1.0054009188717505,1.003550423028464,0.8788820800837915,0.872587999139987,0.8740921293784907,0.8886713998526399,0.8717481954437828,0.8417200422781431,0.9577413861935163,1.0309218550301902,1.1342249119262873,1.0397705623181825,1.0856965734371546,1.0645354534655986,1.0176178427489886,0.9711985623601809,1.0273352272834815,1.0614659419855028,0.982280875000088,1.0514293844582467,1.127254320807025,1.0961326976142463,1.0946055778444135,1.2961578071497686,1.3450978121178683,1.1849814806068564,1.3453111022290665,1.5175988124597186,1.669790065952821,1.4703982379800133,1.2402299693102208,1.6195326861681525,1.386214656600866,1.278155934587824,1.016505187887917,0.9362402365674408,0.8422716262378275,0.8601077804600767,0.9249169996116775,1.1330503949730417,1.088215126048696,1.0796291023959619,0.9539414432310014,1.0022707925347538,0.816360468430718,0.8348855290235238,0.8322433979676255,0.788055609997694,0.8473497091366328,0.8302719985369243,0.6883782835052287,0.7120101972871741,0.9076493493059563,0.6447286618952145,0.9917818106062942,1.0864390357502558,1.3281521059720904,2.3212596112749275,3.672621365191723],[1.2136615030276647,1.1234337704298585,1.1104475525505995,0.9588196683867897,0.9837732574238569,1.0183402381405033,0.9559321944452667,0.9483672978229293,0.9338305418900846,0.8854260536346173,0.8787275483951433,0.9609425288318529,0.8949560225182284,0.8935709701143021,0.9192843426724043,0.8902828790488008,0.9131182621987077,0.9037199130482093,0.9618471227128135,0.9407711715828615,1.0483009508925232,1.1072084760371372,1.2959703883652935,1.3772836083829096,1.431673767801858,1.1336606380483438,0.9445338646843505,0.8923646122385679,0.8659318551461779,0.8697036469393318,0.9236965224826078,0.8862132144310934,0.9007562081888256,0.8952339134869179,0.9130330760904752,0.9171653232312232,0.9202743668522423,0.8975599728596352,0.895513492433734,0.9663145135655041,0.9661825819646076,0.9432491300126882,0.9956413180102687,1.255041427330373,1.510159053611853,1.6478714696312038,2.197900818718307,1.5644235620941007,1.3979755012913175,1.7132236583485678,1.8059439125364458,1.7760743103199346,2.103589167643736,1.2882213414842671,1.9212810714370736,1.3614586222660359,1.3134602300847107,1.398913367649588,1.3899181640983018,1.3989072694307376,1.2686968666073986,1.1526924012016457,0.9958717904465609,1.1338763553658475,1.107051418956954,0.9955922146362243,1.1160106834084462,0.9694414339635667,1.081685100860742,1.1067062543176915,1.154105529004606,1.366064744166493,1.1670063359014944,1.207998560869343,1.0651385263485047,1.4184969317141785,0.9721865951750244,0.9457154808738384,0.9683923640493027,0.9483079452120704,0.9766512133092518,2.2368901043991714,1.8721569059329832,1.2614716614065806,1.0512656929259565,0.9713745788521132,0.9226654155613001,0.9902153436628737,0.9169543373499619,0.9190177620400971,0.9210708789482199,1.1084668669877717,1.0075735974356677,0.9342819990578126,0.905002852030823,0.9272792138279866,0.9588132019368274,0.8957416161580644,0.8841292336435431,1.0639122939423922,0.9547711268821049,1.0350373071746342,0.9530235794175237,1.0432112736808843,1.075968364701041,1.0953944796593273,1.20434612508067,1.2387509348149626,1.1862641486068457,1.149618996110942,1.07679702535555,1.0083292763997915,0.9577972801636467,0.9115729550395005,0.8983673078723979,0.9122305690209063,0.9314223563289743,0.9507612645011171,1.0206900263909342,0.9462353129602885,0.9976459445432532,0.9664739051905925,0.9822367467465116,0.8839578107852429,0.8774727745277716,0.9297907164201037,0.9703173430766926,1.0263550439358793,1.105706311378619,1.1131283473849363,1.2261512570659163,1.273879246387688,1.1814332571887332,1.1197387959534226,1.0932688300508093,1.0577517737946511,1.1198602442397005,1.083606157239782,0.917775346314172,0.9288947650277526,0.9799891133449116,1.1512854052488393,0.951187403160012,0.8962334046715829,0.8996580415859958,0.8666029580005656,0.8632899395494901,0.8846108779108305,0.9148709788511014,0.9399007563079961,0.9850910729099063,0.9664995592606302,1.150613476206424,1.5387253852294234,1.2995656578975525,0.9784610011170384,0.9362655608242877,0.9762461050082949,0.9200407240456143,1.0020313250388129,0.941295735164796,0.9029744829112895,0.9119633122326829,0.9372420978036698,1.0716756367408757,1.0485601363675565,1.2620499811146073,1.6761778387587536,1.4812198552406894,1.2458240839966472,1.0817715279811804,0.9788199484866995,1.0080535149845047,0.9650290568523253,0.9405089952736824,0.9433172132975497,0.9495099541660841,0.95021841915206,0.9605473752362906,1.0034325463063307,1.1843006068604203,1.030032334847175,1.0962077224298232,1.1505324378435209,1.075633376451721,1.073179805747363,1.1210653959447807,1.512735052725839,1.7700924847372104,1.9681608046735446,1.8063213712292854,1.3903698584979356,1.6093926925705107,1.3971016694653955,1.2852024489751934,1.4748411175662641,1.3576247307177558,1.4070974566316041,1.416758703032922,1.4082776713788792,1.3890987050696582,1.3193256636556128,1.2753575920743272,1.3484474081360593,1.379060535821176,1.2621372784716216,1.278476454635762,1.3915701783020764,1.3726698889578037,1.2958423953558253,1.381922397560654,1.471520839983282,1.4201083174845173,1.5834284957401705,1.620350970668713,1.4397132132577761,1.8454442742313033,1.611374620375352,1.5385559051082534,1.64121310752389,1.753595338815128,2.093609152839711,1.9827988236474714,1.899251526933395,1.6794132923493859,1.5922466029996922,1.5165726647375974,1.5919170175272497,1.6856281181280108,1.545583324806662,1.626987496161414,1.8282030442578239,1.8103470470075465,1.6343788301640811,1.6815920489088372,1.9702493568151678,1.7176963620088663,1.671652955722324,1.4988409589204614,1.4655082872043792,1.4850070751461657,1.4316031598078858,1.4300524707889297,1.4373248203111084,1.3813112638907403,1.3717259657484409,1.4337115757338414,1.3151789804329777,1.2606130097426376,1.318447929156083,1.3511820231800826,1.2999057344392995,1.2924256296883605,1.440872079953475,1.490544044723713,1.516544116270697,1.4976138891135076,1.5626103418347543,1.5471697976551964,1.5147594246877414,1.4332328891729587,1.4876074118310605,1.5453901106468528,1.4604699787148692,1.4746482297522086,1.5702083216567913,1.55350666386744,1.4950707389341145,1.6887325514201346,1.7194123717206087,1.5776542545839418,1.62250366717843,1.8314300777957788,2.014359848180021,1.8056684737149893,1.6248338452836466,1.9303161375445912,1.7637077326880648,1.7160737461551854,1.4229836894739938,1.3665355271016988,1.2488869362509747,1.2501043884750278,1.3302973864875842,1.4843104963882126,1.392673044035786,1.4186359987868133,1.2803084484328775,1.2902482503153514,1.1215215194536894,1.1998725072743663,1.189929155953344,1.1975756204313013,1.1501333523089594,1.1342952740390462,1.0897658130326915,1.0828098663707566,1.1718413139648947,1.0307974423979667,1.2827977437630877,1.4904946855028933,1.5845241328189652,2.699619870706819,4.1015036277248855],[1.1423831234147142,1.0469918373370846,1.0887929204696176,0.8963798753626558,1.013740429935361,0.982287442821953,0.8566148856985544,0.8798766715331773,0.7801691725830695,0.6983048600906568,0.660219856813411,0.8213771018591635,0.7496396600794502,0.6378112616260019,0.654874284757631,0.7067541164637647,0.7510933739971443,0.7156645669978041,0.7602525256141698,0.8050447386143949,0.8485411463892918,0.9268291601775142,1.140814755025663,1.211731997464715,1.3876841837558307,0.9564928596303065,0.7984187675892447,0.7417336078034628,0.7640027341217049,0.7596774859425791,0.7388435077203935,0.7606889217763672,0.7639362220865434,0.7358124018690336,0.7897526458176642,0.7721104457357886,0.8466743840454013,0.8165964883156758,0.8489621034753925,0.9903529353944798,0.8949835636953866,0.8105541964919181,0.893162138191022,1.1749882687655138,1.3864348763047127,1.5584628529962814,2.0848009937517427,1.4991654364887284,1.3834296489171025,1.6894715773651696,1.8448906767101843,1.7800875254889574,1.9935179970164734,1.2727986873444654,1.9270955027460281,1.4220560892057457,1.3142482863391691,1.4404808619187381,1.3978383807082295,1.3693511402869365,1.2404441757776494,1.085942242375608,0.8643492565464875,0.9614706377018063,0.9355865153270454,0.8468075987692117,0.9066310588936559,0.753613421616853,0.8304771557079559,0.7941838253217577,0.9170827971156292,1.1380876027629598,0.835183845430897,0.9751776199542925,0.7876429066661069,1.140166621310963,0.7898820395129046,0.7605459993672795,0.8287967488389711,0.9137685568042883,1.0470160055155728,2.0820726105247607,1.714016700125069,1.2768076060554432,1.0656830696938653,1.001518389815015,0.8747046070022273,0.9884527401609285,0.8061272959378428,0.8091465427250827,0.7547877840369414,0.9358192582126837,0.8323967649798015,0.7117328579973927,0.6924684561245326,0.7168813694798498,0.777496124304066,0.765017722513504,0.7849612049771542,0.9933306002860857,0.9043795845709042,1.0120665523723522,0.94819088302663,1.1026549997224615,1.161661917778154,1.1845805023264402,1.2733862189708443,1.3670674037596893,1.2945039516219226,1.2388846779057612,1.1419439626539993,1.0182852699444318,0.9082902754846578,0.8564000211101549,0.7529979922022726,0.7487514123286172,0.7433527708835552,0.7229814325971645,0.8077313971792791,0.6937078872179592,0.7139982886706879,0.7035193960805878,0.695272704439758,0.6814554795454597,0.7139429257126879,0.8396349698783774,0.9879350583920901,1.047714153713574,1.1827709593739786,1.2140952916164098,1.375791925835592,1.4582257048593221,1.3727307704822271,1.2767069566458358,1.2292288811037329,1.0976367304480332,1.1929252754473443,1.0763039136737258,0.8271208718917933,0.8441289319881742,0.7794135414300565,0.9984797241936807,0.7863611492397224,0.7869621406739952,0.8219612711373685,0.7981392000316209,0.8027898886123901,0.8313460074742871,0.9003629879843369,0.8987829681578564,0.9786027126947126,0.9123883679207778,1.1358223506359109,1.4395737714405699,1.2199349518376856,0.9480347999070514,0.876772459548932,0.9758829400723679,0.8914085023403079,1.0159861187508028,0.9431263779647152,0.9074777470888793,0.896265643317166,0.9605339041249839,1.1151264964927483,1.1429281559435722,1.2481964301192578,1.5770934492613056,1.4628847413384252,1.2357694414088902,1.1549097822020806,1.0168839540885055,1.0729425503739227,1.0427806768481926,1.0003793144070747,1.0024377212005837,0.9506833500424171,0.9840771208941606,0.9829139588629503,1.0693417876940747,1.268921743330338,1.12935045741192,1.246481656191354,1.3497974274179434,1.2165738724570516,1.1515314322587273,1.1439531946878965,1.5701757862227872,1.7944507488113168,1.9470286119436735,1.8329592763957403,1.5103097542372872,1.7095039549531856,1.5470664791301685,1.5262047047872023,1.7551156740571774,1.5665804950692106,1.6120906151060022,1.5952812553285813,1.5460025011852723,1.5335363682784504,1.4368233771716943,1.377187972248752,1.4618620408352687,1.4757859565244968,1.3374231768028069,1.3458070249388934,1.4437918304509378,1.4034266415873136,1.314941425409369,1.3936208302565312,1.4844124576165254,1.4425515314419715,1.597355684314563,1.6090608439387841,1.4599672926557057,1.7857399662239604,1.5866296847831418,1.5368016626362935,1.6230102571645704,1.7877235731613106,2.1949240626221305,2.0205557488810357,1.9538553546499111,1.7904675817254232,1.7409200278681112,1.6684907438766061,1.7423349036542526,1.810549285434456,1.6876373524941006,1.8075998607618196,2.048940233769996,1.9876225089270518,1.830155838863648,1.8971433894134888,2.1797672195114943,1.9033891372420773,1.8481348766191896,1.6817012568297716,1.6478254234992087,1.676319927395304,1.5818220256613345,1.5815413091174106,1.5850369498950487,1.5093533917907798,1.5019850359374254,1.5549746695566524,1.4241392562952881,1.3744993215749512,1.4061992651382837,1.4130117791601384,1.3352549837741488,1.3385263590123144,1.4754102359338848,1.4925569453865968,1.5067862922104334,1.4908000885424015,1.558142650479819,1.556595461866657,1.5614557293156985,1.5161707265039055,1.5857255770421959,1.5890511961436518,1.5143550728892716,1.5786469831679852,1.648644463685903,1.6152776112719525,1.6148127162901942,1.8148869464380188,1.8255345080171934,1.6679965663994443,1.7585364303957516,1.9737555980570871,2.0519987418977634,1.8667829178449984,1.673312968852096,1.9559069818190922,1.7746937359203807,1.6860227045750515,1.414714845451312,1.3994389369359126,1.269568801128517,1.2775576517495602,1.355383399905827,1.5383485330640132,1.5060544146760444,1.5447237668961504,1.3666409183493575,1.4199947055314497,1.1879120454963512,1.2649038714401133,1.2826399935991633,1.2820770123822889,1.1917486768259529,1.1773809603880474,1.1319248653099363,1.1134647454046434,1.0819171329787844,0.9889530023537261,1.365603244981279,1.499266377250473,1.7215712886866767,2.880100026784489,4.352739649549778],[1.0151678040789336,0.9364458962789343,1.0132543448980742,0.8837207348456763,0.9998465309106089,0.9934854474790458,0.906520070522987,0.923747703507232,0.8688975056307415,0.8124950175909219,0.7893859201932572,0.919837131752302,0.8764194601442702,0.7811587979535378,0.7959293928071701,0.84903158209416,0.8654907774832973,0.8418250043017154,0.8542684056597988,0.9121234030075303,0.919783172548559,0.907144620029009,1.1976591453354444,1.2273600063345458,1.4772587530224335,1.034459613679417,0.8840021481039155,0.8314040768274044,0.8756708046013236,0.8716191354405233,0.8742817319017735,0.8756879972597352,0.8767554348668153,0.8827904329092092,0.9266153760844074,0.8953670813335308,0.9683424006201965,0.8887590490593985,0.9026988969696409,1.0017844082715017,0.9233831953753991,0.864116322230978,0.9062494650897008,1.1049206310572495,1.2723382965936663,1.4211356164364362,1.8890481819946752,1.3562222696472412,1.2816051882932546,1.5635002825458424,1.7074090368624157,1.6547443859758484,1.8936572275070704,1.315160202620411,2.0158115286889244,1.4898257418623384,1.4110700260740978,1.5883481341464485,1.546755158741611,1.5078189590337312,1.3268575665106377,1.2134109116154355,0.9701674220596341,0.9930909805791155,0.9944797731470548,0.9420167745672928,0.9874387240094507,0.8785274244940335,0.9427712308714026,0.9178382642914161,1.0211680157686704,1.1934205949559575,0.9276690947046587,1.084384713663198,0.8931337997690584,1.1741878751691397,0.9171129517586721,0.892730952709564,0.9337685046323132,1.0286769568462244,1.1695060520732004,1.8732658281393122,1.5634260323443785,1.2034535519269307,1.075059036014338,1.1035944693241508,0.9636454708492461,1.0981824834940623,0.9176110423292453,0.9320199243360026,0.9098241958421199,1.024511677685331,0.9432871447057704,0.8462755616104384,0.8288477535063735,0.8443591137125931,0.8921238352241219,0.8788075880511169,0.8842293006972959,1.0458580597296405,0.9550394116281882,1.0370813923631175,0.991179558038558,1.1154806682858247,1.1297576809645697,1.1607285720824658,1.2192110778515628,1.3038608451971256,1.220345461088035,1.1894464964284013,1.1069318437613787,1.0271333131185836,0.9463627976211045,0.9147055418731229,0.8619673632016752,0.8549252654749155,0.8429770594613766,0.8226039874917438,0.89292616308782,0.7943859676751671,0.8174636521090665,0.8421655455617078,0.8290508569109741,0.8080943931927849,0.8219784644024335,0.8972006828609885,1.0204297316961977,1.051144475935442,1.1518489009849022,1.176577068309465,1.2830723570684137,1.343500880395603,1.2742698552670644,1.2176304195880565,1.179557708585165,1.0488822174562775,1.141073193475066,1.0515107864827071,0.8614412514690112,0.8858008675808884,0.8658210147584238,1.1038844667936123,0.8651379860583127,0.8531239700145149,0.876561485856333,0.862150599188393,0.8604813615002532,0.9066209625174432,0.9516976440756219,0.9545810294957249,1.0009286164200477,0.9545310127886865,1.1339658461039632,1.4300347555303825,1.2344367070076936,0.9874439866299417,0.9398178222728317,0.999651436229593,0.9453521632504088,1.0398418357020422,0.9792632919655561,0.9517010443907551,0.9229031999213418,0.9639920918226946,1.0943120377894762,1.0684698584566001,1.2423366096890014,1.5319509086032894,1.3897429414173035,1.2208405340029755,1.1167899851008942,0.9856403825610205,1.0496239650441366,1.0186901076553938,1.0148054928551926,1.018896596803676,1.0222612655515528,1.0032204059781238,1.0097117750791558,1.0697408099917443,1.2110715902799953,1.0955346509850035,1.1761566595675952,1.24004547260414,1.139040966882295,1.0967117073427985,1.122170504777433,1.4924225621654732,1.7615926215892181,1.9081244642156294,1.7502892349447536,1.434429010545423,1.608611595500956,1.4578018739242797,1.3945990531969388,1.5615726570606887,1.4290966691487341,1.4574070005666762,1.4216060079477735,1.38994183044076,1.3542719386658324,1.2783087254665564,1.2450603047899553,1.2850460196310838,1.2762813379044848,1.1775166668189607,1.1946897202393414,1.2460151775610644,1.216779396154394,1.1848707923749693,1.2323858374028291,1.3074108702623053,1.3108014655625875,1.4737977813522118,1.4754273259210984,1.3169783165555582,1.563893676453533,1.3437008261579417,1.2828079166055024,1.3598825401981716,1.5146757584092883,1.839627585405048,1.7009815955493846,1.623346679236182,1.5098595831354447,1.4637005806991783,1.431672747350086,1.515352732743892,1.5829299884832715,1.4715212281473415,1.5871387475533656,1.7931588597825219,1.7499066330949224,1.6195892412775608,1.7105125314991136,1.9992093658559238,1.7169768999833508,1.6722242287836562,1.491883652383607,1.4682760724149524,1.4886600274971802,1.381705759422908,1.3888086180131856,1.3670004943025944,1.3457658791664242,1.3372521509713238,1.3585931621552139,1.2429191261340797,1.218098299935906,1.225847361529134,1.2305491800995996,1.185878995660595,1.1888816719384523,1.2726423130787183,1.3101967123162543,1.381825928494351,1.3133567990166495,1.3378203634541077,1.3358559733041222,1.3059757717457658,1.2830911031758665,1.315245525006572,1.315285596619761,1.2677287380361102,1.331541944904391,1.376636225673041,1.3423389264744454,1.3737168917781293,1.5274711489718376,1.5401600732893184,1.4134652324914454,1.5574235816983883,1.7032379017403465,1.8024889701527733,1.6322472004724429,1.4346899930021333,1.7212493207934663,1.4954475962980749,1.4216217588598676,1.2379361737790258,1.2125539222625354,1.1611187262620748,1.1791377277745874,1.2135824783633222,1.3499332812547291,1.3247489256781078,1.356092382552905,1.2512523460530598,1.2957513012819857,1.145626478106744,1.186265999877976,1.191184756892009,1.1621644451517565,1.1256952033718746,1.1185676381041785,1.0402435617204464,1.0333782823801625,1.0480908001373612,0.9370903209432512,1.2969069101296253,1.3545240873721303,1.5215575088367639,2.5613315338960385,4.0168327972717375],[1.4277222889005732,1.4547301087389726,1.5706759222400304,1.4741123040289197,1.548591291481827,1.525637057108685,1.452823270855833,1.4453840533911295,1.3738892001846892,1.306488193690971,1.2594551893724815,1.3691497901937149,1.3618905659487726,1.24540371711405,1.255485881535901,1.2938645621768283,1.3001812166596094,1.2541892209639456,1.1799375224709792,1.3045345766366268,1.2579796981699276,1.1589372640158395,1.4938748875987427,1.436483281209783,1.7950128215487011,1.4020519277658137,1.2627544488933125,1.2261430972312541,1.275020075364153,1.327952083206685,1.2981319712111092,1.3433568332668253,1.35001438623841,1.32509134545359,1.3745671392468357,1.3496797461567782,1.4148674769505176,1.2907233612166953,1.314076816348356,1.3093835868061556,1.24865649520375,1.195187095757359,1.1676183075876736,1.1434092976935655,1.3656168483842257,1.44722911266156,1.8604892458219158,1.3149894511319682,1.2526255873200056,1.4870388120263578,1.490211989394109,1.6598010466545723,1.7396733143686876,1.4253066511561505,2.108582785966116,1.574046872136528,1.6163263668105068,1.7494514646658088,1.7039896457063963,1.7659199252645834,1.6978475900108916,1.5900329832417235,1.3657485383161472,1.2994128141107837,1.3147211283161306,1.3487044842363383,1.3377210144869358,1.273881637790889,1.2620529812002423,1.2702313307927897,1.3291789182851412,1.4081862734741861,1.2664687362428202,1.3645678583498166,1.2687232819896508,1.435985122867301,1.2977692062722812,1.3071816990666365,1.3704111134355577,1.4255652342285716,1.5592927382357522,1.7184854595437484,1.5157519188276065,1.3886699042510513,1.477339796064826,1.5557102858970866,1.394890013006381,1.5215961376410037,1.3521734951562696,1.365478257510223,1.3361230516276312,1.3712111819015145,1.3386279358013342,1.2747795864216085,1.2575430164499497,1.2462164950192036,1.2868972582307248,1.3026279751368555,1.3376451699946625,1.5360157543029198,1.45998151826486,1.5578789934335668,1.5084511088906685,1.6438348225920554,1.6320906782569853,1.6631289668288434,1.6658955106257898,1.7230312152260268,1.6986959735493983,1.6133985839560545,1.5853191505990467,1.5292671842334122,1.4786968098162374,1.4008628982389872,1.3109706251771442,1.2807296514291238,1.2638471379177543,1.1719899849358835,1.2077406626290443,1.1783579045828891,1.161647157532819,1.2301920367588839,1.1670498023463842,1.2322046786654306,1.3134919161944683,1.3870989871313744,1.4104880636541002,1.5446226542562695,1.6269095754850122,1.6287088206163525,1.730349135692389,1.8012610630645456,1.6406068277727728,1.6231649020671701,1.555237166343878,1.3769253510685104,1.5007591080384761,1.4130102537237943,1.2962205929275503,1.2762894151936248,1.1679801787448338,1.291849187236397,1.184887383394858,1.2267391225168,1.2600389790297897,1.2998196873618395,1.3192470062706032,1.3866466039093848,1.4426938616679346,1.4710511384107618,1.513935207208313,1.471768474532567,1.6603490367975613,1.8789287737697868,1.7233896837496765,1.4877166012525955,1.437651361236975,1.5260299865294418,1.4335787948626397,1.5470608402457564,1.4346462915354197,1.384481857678059,1.3116192596592826,1.323991443131886,1.3368725739306508,1.310887689385343,1.437977831512487,1.6313647975301977,1.5411884065684167,1.437913076456481,1.4178658502324173,1.3222817040996355,1.4284518261658017,1.41308774879212,1.4356865192293504,1.4591493125901123,1.472645665395835,1.4482734194849927,1.4409254834576837,1.5024909020140167,1.47787975590061,1.5289873422273537,1.5823915678684592,1.5849358350673248,1.4877830343307612,1.4031043180246179,1.3604414859087006,1.6582887668689683,1.7325598030313565,1.9954723308427167,1.86466018744165,1.5420393326522597,1.7174949636677939,1.6405505122883575,1.6288083184912021,1.8194339370305703,1.7992784413999032,1.873094860937574,1.889336371759761,1.9310759969123346,1.844063814118333,1.8028940071880724,1.7949405157914136,1.8130359828950076,1.7787152685129655,1.7109205890813404,1.739219032908987,1.7399653943605489,1.6845167789118818,1.6621165589032616,1.6683480618487443,1.6586354866608495,1.6585832947113077,1.8027983488598482,1.6943155692932936,1.5949543334961558,1.8894293090855283,1.6771790222722287,1.709958895298767,1.7190539750291005,1.8188867247568485,1.9973345317837872,2.0138973455542137,1.9833325923036853,1.8548907006655202,1.803218321823832,1.842342247913399,1.8725871001943244,1.8852674850740412,1.8679567624044184,1.9929109183352611,2.095724395641822,2.1126494806685128,2.010686306253232,2.03091655490188,2.2473651849406404,2.0397347199516327,2.0383635687511776,1.920806429726338,1.9382879532148123,1.9064019907071004,1.8467700409808354,1.8551521540795193,1.8436993505902564,1.8238233240431503,1.8209332458391954,1.8108326724055954,1.7363855074968133,1.7063032948243984,1.7197573526078456,1.6955506642741005,1.6489147975220613,1.6498822560948336,1.6853775598004848,1.7036204140270892,1.753424838645991,1.673229340398577,1.673756259738541,1.7013446196847861,1.7037473458308485,1.733056871105355,1.7269933080417559,1.69351065436656,1.7228366292897916,1.762733206264064,1.7439222037893858,1.7370767278249835,1.8025329618441113,1.8812693803250984,1.8100630260017934,1.8291091737860063,1.9244739732231761,1.9641098898712543,2.161577865576896,2.020614318139549,1.9240941947598658,2.060896446536455,1.9826017394469475,1.775908470295051,1.7217871334338184,1.71431425646401,1.657068262347041,1.69385860099265,1.8211675208357738,1.943792058592516,1.8767154282476273,1.874947853726758,1.812337867304039,1.8190451979629343,1.6694378681766044,1.7304089499889124,1.7068850235843471,1.669570861157025,1.5432363493050893,1.5741408272752195,1.5270217141288023,1.4567233647157691,1.440040279253087,1.4073057834284792,1.622857907498073,1.7491882407167012,1.8867912729312044,3.0414637776297426,4.437039265855283],[0.6895357338735746,0.6079499596235708,0.694993416324146,0.6018696375969306,0.7651583852807957,0.7213327599581285,0.7092076164194829,0.6882612267089465,0.6818878283936073,0.6815339133966484,0.6486052066449166,0.7420087549159359,0.7532975843745402,0.695345644142902,0.7151209571145728,0.7336386169358315,0.8007865592291503,0.7928961872790551,0.8259577406138481,0.911724781326561,0.9584455756943911,0.866820714674735,1.2861257943504234,1.2816695201306318,1.5833191061022787,1.1362226408568497,0.8894322046202675,0.7880477648693152,0.7758711511071336,0.7512444425852705,0.7804183265442362,0.731598099825311,0.7386295509521369,0.7551836279827844,0.8028866312603405,0.8331211602909402,0.8285480656476484,0.7976813288936572,0.8411521271105656,0.8666982409619545,0.8643653650764798,0.8220821266454716,0.8092545710248014,0.9020391228495888,1.184887545498602,1.3100398744757278,1.8039453921893152,1.1759395294994315,1.0729147481011119,1.3823395807716052,1.4175935609138566,1.5287396079537965,1.6761156224440816,1.1372795692620032,1.8597433106089374,1.2948515484916931,1.3489078006888449,1.442765448986853,1.3893848674685925,1.483804362910796,1.3954813176559733,1.2382682592490777,0.951462617838083,1.0051361247933612,1.0225850009445754,0.9602914738400913,1.0262719320435774,0.8776743545354736,0.9410915412505808,0.9129906338403646,1.0256622078895044,1.1981538497536774,0.9353174718662911,1.0661179265601066,0.8999284041473711,1.1798447059341413,0.8813674075159225,0.839922736474192,0.8897743789324044,0.9607287175706479,1.0426580599320285,1.8292507389792645,1.5551891293261126,1.0638776872465454,0.98552578498162,0.9813307252744473,0.8919290932425687,0.9555433865316801,0.8576087842933859,0.8240502719754119,0.8298657224674602,0.9887105882644547,0.8719983847223794,0.7407623398548209,0.7156995185558874,0.7292096236898968,0.788964037991358,0.7177406374339282,0.6934869216181827,0.8588794970556314,0.7754174903963258,0.8180768278481025,0.8011421654080854,0.879402385776793,0.9194135285928945,0.930550406450298,0.9657350040826425,1.0316811725070412,0.9510043729250952,0.905317947684433,0.8446704180737361,0.8306541988194938,0.767695392059163,0.767703285298594,0.7498552912519658,0.7991789168700618,0.8192879157575348,0.8116284908777777,0.9078576908629906,0.778558301138884,0.8083313504019827,0.8063331206188094,0.7895652182893119,0.7200889835678147,0.6930740581029674,0.7720689661773206,0.7670234774475455,0.8576187388527438,0.9365916324234347,0.9547031850843568,1.0823410615432474,1.124911952401581,1.0705701208961147,0.9915876175909586,0.9928077252583267,0.8822795094843057,0.9988206771110794,0.9651321023989234,0.8229794141112563,0.8125998316044711,0.854780308880771,1.0740527306946477,0.8421359562509686,0.8086555269851707,0.8265797839172766,0.7861028631150199,0.7880399199489827,0.797055010943091,0.7787371248716177,0.777628592079865,0.7716180561245024,0.7205396189281519,0.8830770154886495,1.2870960185230715,1.0892863948124134,0.7525601343292162,0.7258698034708464,0.7720948239794455,0.7593782529330404,0.8495061906406144,0.8203626877524236,0.8256273416209288,0.8289972888884553,0.8485292441830594,0.9525435851170179,0.9900397563336064,1.1337894265795307,1.4890319857166054,1.3343670498805238,1.147058108492271,0.9953878662877691,0.8788939871467891,0.9261644942921164,0.8615560903745074,0.8465031750291506,0.820464964968018,0.845977794557923,0.8241541718374112,0.846285634002493,0.8841069410055129,1.0515613489341546,0.895581800456241,0.992601897228141,1.0689159808872561,0.9908365139966836,0.9767955153434805,0.9826215940705038,1.4025172282231477,1.5902248287781642,1.8549872717665412,1.6875565826980647,1.2497359868366023,1.4746556259971453,1.2838536108939183,1.1772898505022278,1.3478535662777364,1.2370957138471637,1.2332112095105852,1.1648187662118599,1.161378425318881,1.014589764312567,0.9231715828798623,0.9338482020147211,0.9220465708594614,0.8633026258508484,0.7843780999432058,0.8108113972519932,0.8372976192340116,0.8107678403005368,0.8019200687323376,0.8557105880754307,0.9481561890035091,0.9725035912613792,1.1387253556273147,1.245435547371389,1.065886121053917,1.2838460138780832,0.9854499439012202,0.8985859328563922,0.9939416463072064,1.1429795291631988,1.4149813830587188,1.2825373441692547,1.2568623807022425,1.1305376795625077,1.061442063290763,1.0570270097605134,1.1296068507388815,1.2224982410525798,1.1029125273134819,1.201936286660267,1.4163094298883179,1.403143606368239,1.2714885276901535,1.4419647272959097,1.7000457126253072,1.410527578316659,1.5052723834644361,1.181800236895827,1.2073149367770817,1.1519923869328714,1.0139215064995168,1.0208000883925252,0.9802432501815547,0.9805511493954892,0.9727467430231286,0.9156327466785006,0.8401698905660167,0.8499327396272186,0.8222474605082462,0.835601606698777,0.8511971985655356,0.7952422259219567,0.8621695247786844,0.9600089786454257,1.0972264120749418,0.9564295761135352,0.9832033018880094,0.9472971376839123,0.8839326494062247,0.8558018079265844,0.8831348852113771,0.9098045563689428,0.8520742582577839,0.9139995326388323,0.9617207079532295,0.9370258826282706,0.9644620936675807,1.1221906560027581,1.182854192746656,1.0433052659405262,1.2520534121031497,1.3414945972624057,1.4909011608682436,1.3262667870318237,1.1337746797291315,1.4799354740888022,1.2870691606497733,1.1308740213971056,0.9107332102274007,0.8357881827225708,0.8033595395550504,0.8186447353931309,0.8944767176229567,1.0884576034000777,1.107309103168773,1.0477129767127467,0.9932297719189149,1.0474703302119426,0.9056643459861938,0.8738070261057733,0.8682767286110263,0.7867762704175613,0.8484800810304528,0.8475743518649761,0.6754382775386688,0.6945761941891764,0.9182314288689548,0.6475942671438952,0.9862661111539791,1.085779107571996,1.3182197444460042,2.25612201690266,3.5683476647734422],[0.8974339802415982,0.8304664698109804,0.7970665269187979,0.6273837073297079,0.6394675712610045,0.6164992440417039,0.5134442299728348,0.5283557119346552,0.5459408517557836,0.4822490336913387,0.4877302499543189,0.53906663215511,0.47084077365441823,0.4803255829171485,0.52279545898083,0.5075668024949755,0.5270557107376926,0.5364990737939812,0.6403115240605587,0.5752565790984585,0.6734803765652103,0.7939897359288247,0.951041313166576,1.0369876028157556,1.158034140370621,0.7879325563218104,0.5514428191608333,0.4992954894891793,0.49625173836103587,0.4721644997392284,0.554850677717124,0.4812148650601148,0.5243052434574871,0.5121386137841613,0.4841511840923892,0.4924260613040295,0.49242922513110815,0.5308995592518061,0.5159374959887968,0.6284135645425188,0.6491830479019345,0.5919967778171852,0.68157654602237,1.0509205042598428,1.290613855033541,1.5011776721145114,2.018843728654167,1.3402750846001936,1.2562722652005758,1.5451674973008314,1.6255458328558485,1.792522443127324,2.080777116405167,1.0523443260854068,1.6958143332613598,1.1525861262996713,0.9461346581457257,1.0658489511344802,1.1356987514074892,1.071086182377443,0.9453662010319323,0.7978263516280476,0.6142260702680296,0.8286997517445064,0.7473038317646215,0.6361624656667105,0.827108669371146,0.6162217758525013,0.7916968204419292,0.7263096357711172,0.8817779246225822,1.1872229754207015,0.8221892818167592,0.9606076233423779,0.7109189023949704,1.1624432467250647,0.583077451796565,0.5494632835790033,0.5298395468713119,0.5804846223738719,0.5425045898560993,2.1716585098857255,1.9015261343215826,0.9810992532629339,0.6863694881792349,0.5673605691138369,0.5061063949834853,0.5795354698902965,0.5117792603878469,0.5459610080782897,0.5683405346237302,0.8485651164734344,0.7170885027615429,0.5591263574877342,0.5521382777004179,0.6480642896114219,0.6603954318947599,0.5600837956386728,0.5462134291333811,0.6779680866701976,0.5375930609280684,0.6116038289157095,0.4922566924075021,0.5709490030033969,0.6263841093911564,0.6306009523092192,0.7881883390989224,0.835826383196056,0.791424008100491,0.8519987290206008,0.7008676631149294,0.596813275576531,0.499526145825703,0.4972489692648028,0.4478152679968111,0.47679113178539734,0.5280436734096474,0.5487755728667387,0.7010886735443741,0.5722303290177913,0.620280099228297,0.5511459256413959,0.5579695059847697,0.4497718116160108,0.46187891012080906,0.5215826327586923,0.7194335526238933,0.6030024651076733,0.6864276668148825,0.70049311014715,0.7694674329378035,0.7918580756156355,0.8030168641013224,0.7059204347125493,0.7147795087231146,0.830304528242856,0.8418880004894145,0.8039880228659214,0.5546795589306863,0.5806143161575619,0.6903966719801685,0.9259163382909672,0.6044403920943564,0.54402336268399,0.5582623470604502,0.49886949778570255,0.490243053630262,0.47662100396505647,0.4774595634807272,0.46994462200693005,0.6015278954080351,0.5730102800960577,0.7669135990493796,1.2652599610099813,0.9710813602495952,0.6084464892253211,0.5005284349880054,0.5333405343426889,0.4878854036625709,0.5450020658006268,0.531411259313503,0.5230088867739756,0.5726191251594784,0.606140506129281,0.8389417500868243,0.8000974936562063,1.092672767501479,1.617366971877728,1.4137993029425435,1.1240013230719854,0.8125009442371242,0.6836563077838258,0.6619688654553468,0.614230687832726,0.5418990089553384,0.5453602944263966,0.5283599891740026,0.6036101170771146,0.5464554200619655,0.5697646682478389,1.024100858127136,0.5937420604524116,0.6720449224036318,0.7962881300289387,0.7538051352447274,0.8089168695225195,0.8792976018350177,1.3129287066627544,1.7580425874977477,1.8023549384019146,1.6469733757301106,1.2135184331392812,1.4039092788242356,1.183244640498474,0.9888238300389626,1.1146845941090404,0.94070934485416,0.9203066656433256,0.914219733521564,0.9367246000420257,0.8841483305422914,0.8008724041925289,0.7976288740675578,0.8392462905730754,0.8495941832037293,0.8223959358383303,0.835528174854756,0.8970202992744662,0.9277930254712643,0.9296546473444491,0.9905072710108079,1.0895786817927642,1.1285455284696524,1.2589175312854919,1.344816277908916,1.1031153126830324,1.4168738886428116,1.0442837291177807,1.0000001870875568,1.0782225746268348,1.1298329223410155,1.4515525783962038,1.28573180812283,1.3632304413680447,1.1642262470654743,1.0507007199866705,1.0016459467226606,1.0209848701171622,1.1876391406849998,1.0128765846066188,1.0318445661363849,1.2731380080062895,1.2770839184145404,1.0747744525020848,1.2473438344380083,1.5323925522805053,1.2440965450125296,1.3125147102064787,0.9818366252832448,0.9512721845372407,0.9337328392094129,0.8760395281410432,0.8438290245512634,0.8986396065708684,0.835310176376976,0.8174821015233902,0.8401795196647119,0.7824767146685915,0.7661184833885951,0.8378180087885789,0.9414185521087883,1.0195726027657408,0.9201871416817919,1.005621271015472,1.143493569527698,1.2744601938804851,1.104452164573728,1.1256212540439563,1.0625150851919094,0.9811038450318178,0.9082341901350797,0.9142836264415439,0.9981779009196969,0.9286142868777972,0.9101250770741312,1.0022480496625776,1.0058690873227025,0.9446822186866037,1.0806683345167871,1.2363609363620982,1.0486396993588292,1.1630696511188643,1.2708551566981818,1.4452397459210626,1.2788304446143508,1.1353089368794984,1.4456070745670886,1.3236760545346895,1.2103466706881372,1.0062879631121613,0.9106190330895041,0.8810703627919694,0.874329596872199,0.9578455911239508,1.0870681694486835,1.066693428865662,0.9825557335982564,0.8481337074504671,0.8250831274033031,0.6932888312908596,0.7818250910565882,0.7667739758342291,0.7790189335081756,1.0829630654852647,0.8739893481098577,0.7914282755671445,0.8741222522906145,1.0875804693764002,0.803576652959302,1.0387691297044,1.1051258109641142,1.5807357986865764,2.3739772661428074,3.488677115773404],[0.8055296243829695,0.7469769275679231,0.7418668798254029,0.6000705114158141,0.6466108704699249,0.6151271126591575,0.5664187472743977,0.5757545381610975,0.6261673701293491,0.6201842351181912,0.6453264006815173,0.6473145868084814,0.602159580623551,0.6472825732254484,0.6884187170055671,0.6604873215665954,0.6876849466928143,0.7187011576870037,0.8474587341800275,0.724487038420447,0.8748055732409179,1.0589053464619727,1.0670097459795675,1.2488120163035976,1.160568583134846,0.8706644205586609,0.7254754300843717,0.7078785393772574,0.6749546870705425,0.623248291338931,0.7106568800181357,0.6289599294894918,0.6773539443753662,0.6840847463533027,0.636954755029596,0.6454404242914755,0.6394907555845375,0.7339982111245998,0.6970324791940139,0.8452456027684166,0.8724442611497638,0.8278830270952567,0.9588847838697051,1.3197500968416984,1.5072535618012837,1.7130302046788792,2.256208008248851,1.608248544501779,1.482883012587128,1.744207763196463,1.8676793913265175,1.9202515286607702,2.3436912239152683,1.248980127819152,1.7886846252572612,1.2751193305720117,1.047775719660095,1.1318374113349097,1.1900455238582368,1.103960000091096,0.9497403870359247,0.8459484024006774,0.7585303192599392,1.0144605430153126,0.9214681131352446,0.7841044556884985,0.9440026273420739,0.7630424817429614,0.9144232478887022,0.8917602331228306,0.9820150308926381,1.2842551052629159,0.9913410886175674,1.0653847238045122,0.8672063716693166,1.3319632143953863,0.7505021749202623,0.7396709750684841,0.7055108424228616,0.7003041131417992,0.5828327331125285,2.4207289167296184,2.0749096195636825,1.188988434758437,0.7981267854407962,0.630472809485385,0.6742262640907853,0.6904263498020685,0.6742416676759493,0.6901518106464416,0.714758063192683,1.0035604985843565,0.8749914378366864,0.7334503211807593,0.7272110126842067,0.8204790319298381,0.7963219483781026,0.7134960370056816,0.6748237977863172,0.7427693577824815,0.6402336585091082,0.6765833364017746,0.588648907696377,0.5991293995243873,0.6872695059717925,0.6508588379528303,0.7923248443691793,0.8395178538682933,0.781437702448965,0.8583108848712376,0.7289129677639878,0.659952150683913,0.57446015856582,0.6014254767953463,0.6084681420572876,0.6377998061105816,0.6907377771382478,0.7717192044508272,0.9001264513359236,0.767734459128336,0.8128578142039107,0.7125274086994274,0.7381746152683186,0.6227997810817261,0.5876010136668647,0.6341521289208132,0.7668357304282823,0.6678646845204059,0.7263683182969843,0.7505023217897131,0.8104199281875999,0.8185398323991026,0.8651332008314124,0.7792580728911745,0.7968652793300797,0.9532766827013817,0.9257357307685258,0.9200589462965383,0.7263739082714208,0.76143942335174,0.8713410861877408,1.0571135221032122,0.806704159820449,0.7437132559778666,0.753019566632067,0.6716313999592475,0.6492339092425287,0.5933186536445583,0.580939329793639,0.5591529157894438,0.6498928139772518,0.6241403753367115,0.7686350210936838,1.283288143466148,1.0136448495434398,0.6680780669546613,0.6027522950014257,0.5971217432118553,0.592235463965848,0.6109669741358429,0.6433686083071178,0.6593926456289423,0.7436115638572337,0.7852185070664429,1.0216191023470216,0.9747792564953144,1.2554882297444792,1.796649746047759,1.5558684178662159,1.222784649584747,0.9242847219596847,0.8255502678757801,0.7889123404949597,0.756393712429734,0.6800117533245394,0.6642280619622661,0.6405788158172191,0.7063459632745908,0.6870907986141522,0.6770368002919128,1.1555350395329662,0.7001292911406242,0.7889978217524001,0.9305736886021234,0.8889081398151426,0.9747690257597772,1.05592611415731,1.459070304951547,1.872946034188591,1.9783815900168333,1.7920215510204498,1.3705299282186854,1.5747211147939228,1.3128110601521001,1.0957834768897832,1.1876787766965136,0.9746627182344523,0.9504410237285925,0.9189008937795592,0.9264269830455066,0.8573665265572249,0.7596899287033365,0.7638565869661124,0.7948115083278612,0.7847487455941488,0.7461935238243739,0.7655130816470962,0.8366299982339628,0.8477404845130311,0.8537729250221233,0.9121796972217313,1.011175012430106,1.0506950314136143,1.1943672235507095,1.27770031405168,1.0401301350433148,1.3827032268778445,1.0328784554351143,0.9587280932348299,1.0501802995026308,1.1438922900415471,1.472525813768501,1.341368665669167,1.3144328684050246,1.1125977355235153,1.0185388784644431,0.9695179755810335,1.0345813624091604,1.1838159244856823,1.0151523093189079,1.081221319719348,1.3376756236851657,1.3277979123018873,1.1185772102523188,1.2731831804243723,1.5668824052660828,1.3024543749661284,1.3410108577527133,0.9945321938937657,0.9616449786702044,0.9502962611849263,0.8681099093924244,0.8507293255847432,0.8675514864113909,0.8253152135701122,0.7975578423086115,0.8146320899146919,0.7425024686114158,0.7452217664744891,0.7730471087608773,0.8629804579970417,0.9313487907237349,0.8363279684386739,0.9219871067336471,1.0715021794202755,1.2070706946488157,1.0400188626571356,1.0669871165042646,1.0065343708362608,0.9248571548000942,0.8490560623206856,0.872289749886604,0.9522119969320062,0.8704306094180018,0.8700099490764769,0.9692646235701108,0.9618507409102631,0.9085339003058838,1.084719235140139,1.203040102740831,1.0251846096392525,1.1705892499293666,1.3014703998263935,1.475253943503478,1.2968262886755202,1.1066309075254597,1.506250059666511,1.3174479343878747,1.1870043523860379,0.9624195881826372,0.8466238671514497,0.7963392321119187,0.803449084541299,0.8762608777184662,1.027521444135372,0.9960006125631212,0.9387798783227163,0.8097260911329184,0.8159648328653751,0.7009534507878327,0.7492001403934114,0.7422108271743016,0.7286997617252362,1.0286495811404028,0.8577137359689362,0.7353579539875624,0.8273935783503737,1.0787022563162048,0.754841036242319,0.9662090105580008,1.070644797883586,1.5326299054486647,2.2935535992507647,3.432227546095967],[0.7042860232490926,0.6526358268783929,0.6368100246958964,0.5019289690777003,0.5700695555259652,0.534890898345434,0.5378021810133917,0.5513400123122479,0.6112871611902999,0.6227861484135931,0.635800182069293,0.6382738491897031,0.6218372015157444,0.6696442040891804,0.7220725886193328,0.6851109710449963,0.7504579105544497,0.7813844865615874,0.9255996231045559,0.7958705341526555,0.9571773381682889,1.1546193226166503,1.1424601816827014,1.3458490961032807,1.205722926328736,0.9330345270435199,0.8050466275466359,0.7877490616981596,0.7328281376004229,0.6826699000039138,0.7616435197696867,0.6782126263824796,0.7079133177951963,0.7382463288129906,0.7005969883878964,0.7240506706447278,0.6908507344249594,0.8260332130464467,0.7901188752017491,0.9531413060165107,0.9722741566622086,0.9393527327187364,1.10032041013765,1.4402866951099798,1.6029755548222995,1.786784329241657,2.341574210744366,1.7209888279686432,1.5692998154449362,1.82041661770853,1.954818393384817,1.9679563962424176,2.45363900669934,1.333944269732607,1.804759470962523,1.2958437453114868,1.094586001187164,1.159250539489757,1.169633705387013,1.168065919079689,1.0154996919503345,0.9185845455647561,0.8572005487304862,1.1057193875297031,1.0106638684719966,0.8712978402590867,1.021277835582782,0.8362642283191715,0.9512903915946951,0.9567053237718145,1.0232514908716526,1.3630044852923275,1.0491368442854836,1.1293250473340724,0.926307815793116,1.366836448104069,0.8490613735289277,0.8375478987634734,0.8091025549093933,0.7922131332020118,0.6154069203978816,2.469613966976587,2.0576868409468094,1.3037131776654383,0.8889475068907136,0.6863993403761731,0.7644776039344021,0.754073171798269,0.7673324092735033,0.762192065770532,0.7908674220789346,1.0582883702869865,0.9316172944471098,0.7692421848717479,0.7554357413964007,0.8248127331140821,0.8151447810798502,0.7207122754977376,0.6663731622242717,0.6792837033736587,0.6634101743595893,0.6731215120524376,0.616021482708008,0.5713210088456716,0.6817830776578803,0.6179851257300929,0.7215604253316641,0.7849061456813972,0.7017552181120854,0.8084621465384497,0.6618644700245687,0.6536052803636934,0.5748431535609578,0.6200795632924239,0.6397699163364426,0.6930031183169036,0.757131366938069,0.8418956196593552,0.9640092429897014,0.8340901457928355,0.8789920643204003,0.7670910110694595,0.7861446646508148,0.6613971703496181,0.5949736338180976,0.6303986534482425,0.7328104630845732,0.6412183467194851,0.6681990880410013,0.7346552516243686,0.7486082018538168,0.7488677964994808,0.8552964302592931,0.7814641217861009,0.8138800902030072,0.9824545992117082,0.8919269538559803,0.9640023035058648,0.7958935137030767,0.8366086758180594,0.9314102699335672,1.127860498737692,0.8928629757055074,0.8261691436833752,0.8389854155495735,0.7416272880815404,0.7057542455279525,0.6336173384789366,0.5997151008715329,0.5545474036525411,0.6244172942634663,0.5982120639180324,0.6886195775771685,1.2198255956222792,0.9712648934914531,0.6315324613514929,0.6032727252853574,0.5765397952708626,0.616841190018665,0.6277614181924182,0.6833428095318822,0.7225283932808388,0.8159066802971933,0.8632359838651018,1.0936903560143723,1.066072646634947,1.3063215422458418,1.8558674596914753,1.581022645935585,1.2049734041050417,0.9509313901818038,0.871747206540775,0.8384505013203376,0.8071501888382618,0.7397416766115037,0.7026634493664149,0.6687685897322488,0.7328142438221186,0.7449732068120342,0.7347715010228435,1.18910028010178,0.7280950100414083,0.8308668695656916,0.9737330584583094,0.9623326830552595,1.087115379431066,1.1465559087533044,1.5206947979302092,1.8859051394329027,2.017645875494202,1.8820806695718337,1.4564253477933382,1.6335206088595127,1.3398548377226078,1.1012057649771696,1.1749522656827915,0.9268983074705087,0.8747113856901699,0.7762744922725505,0.8252330342659705,0.68857532785754,0.5901236309859799,0.6083394452734451,0.6137433745072806,0.5969775533231333,0.5758934573765018,0.601168671766016,0.6671718381878587,0.6799024990341546,0.717537856232063,0.7951191243875136,0.8921930705635424,0.9349998324654156,1.099318582807791,1.2178342234439075,1.0382458370104113,1.2783439901116451,0.9363667642343725,0.8103474211463567,0.9166388680303498,1.0269055218468353,1.388363543287021,1.1909067961995943,1.1878865824274303,0.950260045599338,0.850627475749034,0.8009226538976062,0.8801091943283024,1.0066258659549006,0.8682709408344733,0.9224143488679423,1.1879019183966542,1.140602957943337,0.9605133910429974,1.2057594678250945,1.4154396839993855,1.1614479175589378,1.251167102637509,0.8417665682426304,0.8760947826683665,0.8037905579237581,0.7019933698856443,0.7180951684110584,0.6688941685780515,0.7042993041266917,0.6364170471563907,0.6517577017103489,0.6078140634566276,0.6441254774660609,0.6018169362627865,0.6809608516120161,0.787884493082955,0.6850831739442242,0.7464083397950372,0.9015255798853038,1.0607865105337362,0.8890540856268061,0.9102468950760665,0.8484588390165457,0.7422022508084736,0.6625514721197902,0.6955312313499515,0.7712342067846122,0.68788896525383,0.6887274699669116,0.8020025915781435,0.8009063608368855,0.7228181695627206,0.9244462124110994,1.080130904371193,0.8389928862574557,0.9809236783279792,1.1604546133411635,1.3323651392084155,1.1430473234053369,0.9261441174169062,1.4319970840781622,1.2166317602952241,1.0924667591895934,0.8718271057250966,0.7324987209560648,0.7234069812696602,0.7665333689701327,0.6830508634229884,0.7891060038082188,0.7373738010427615,0.7213068018341784,0.6566177006883847,0.6845615612891612,0.6039577018520009,0.6100857743799222,0.6364082394453036,0.6074238722650589,0.997824580761401,0.8215997430994609,0.6304042266339733,0.7640738852480948,1.1039392412389302,0.6731345317651916,0.9032630358478845,0.8960321154602066,1.6259249198682102,2.2569516479501655,3.2366555581896312],[0.8602989788039146,0.8305623613897036,0.8027442676563039,0.7212079680790426,0.7493431682845805,0.737907534396981,0.7725085292171329,0.7857834563977886,0.8653097749829816,0.8784021795534114,0.8992591234222096,0.9084496120067947,0.8691787570771914,0.9211668794091683,0.9753496936183231,0.9324282628320937,0.9765256544819082,1.0123824682798583,1.1368661405492324,1.0059081094963809,1.1677132803540855,1.351496453806057,1.2900337811905482,1.5560497080013391,1.2826882245475983,1.0853705164933747,0.9949560515919073,1.0077894844357087,0.9672034381427096,0.9329647603403731,1.0044681675672407,0.929211441253604,0.9709666730668671,0.9881955241416595,0.9431459981560274,0.95259600455732,0.907032624903858,1.0377976100297253,0.9914312681193249,1.1305537335741258,1.149278636553875,1.139184991761674,1.3084319565668625,1.6111297634454576,1.7548272865365195,1.941329811816854,2.467496936081388,1.8595545558191724,1.7274107317269107,1.9257744743080762,2.0420899753692643,2.1344042121558604,2.661394989867939,1.4793248784234099,1.8206950093837326,1.4003973519722026,1.202568940639573,1.2405764689993553,1.2469805203490407,1.2246668728025334,1.1250947735030263,1.082745974260178,1.077707719912397,1.3361595772695627,1.2010523353680986,1.0726141025899345,1.2054899145725673,1.0602178762840577,1.15453467269713,1.141229063278281,1.2065218126731367,1.5365679362625955,1.2572303292849323,1.3151403586449861,1.1519283782806764,1.591555874681927,1.0661865120063383,1.0676914225744931,1.0202436089788818,0.9939964619047341,0.8058294623406806,2.596115893410905,2.2111809542322316,1.3960197241908583,1.0558828948933003,0.8810561937801709,0.9700723240327171,0.9402175734359799,0.9889433187259197,0.9945483394290805,1.0255471510213674,1.2771553064371426,1.1477953854812415,1.0152259444576563,1.0056451226121055,1.0702541942622026,1.049917556324744,0.9794947090601519,0.9299023048926752,0.9201680600483941,0.9050468949829281,0.8566783436109905,0.85341675277679,0.7538449477688005,0.8635401031126299,0.7860394211955446,0.85612559899516,0.8856152060475078,0.8370842289276138,0.9812203153886376,0.8520937864288871,0.8459302815094584,0.7978847076586026,0.8143299514476124,0.8674647010549391,0.8958719398531828,0.9697353448158615,1.039010066979695,1.1611271958448839,1.0548569090707378,1.0892427803763967,0.9787037716613455,0.9758730167770185,0.8896824695745,0.8294982599908881,0.8296821315616068,0.877426930270797,0.8157100862022539,0.8138437817540133,0.8796621906659201,0.8558084837466806,0.8425553847026656,0.9747562668632624,0.9208120876820627,0.95383379557506,1.1363310812461376,1.0150828647461037,1.1016597343286603,0.9843761398396959,1.039487998927747,1.1296492170009438,1.3046381760387458,1.0839438626672508,1.02075975620599,1.027889448369218,0.9552545748311627,0.9186056871083674,0.8487045019852085,0.8129567675578587,0.7757270077801512,0.8185534599039241,0.8160794356595611,0.881045708690548,1.4233909009439978,1.158021211150967,0.8590238456078421,0.8432907042986788,0.7830326286036731,0.8538016919469847,0.8244665565820506,0.8777137014952987,0.916923416387718,0.9990360309231356,1.0376991286880648,1.219792056465486,1.2115721889389812,1.4115385316393902,1.9562804327422652,1.6672641481300987,1.3074563081065584,1.0728217959382587,1.0288116008757313,0.9942851974781287,0.9818008220473293,0.931713662070531,0.9033229214458343,0.8721340032063689,0.9409714166399246,0.944965136009945,0.9166518402902349,1.310134829654737,0.9007478248854103,0.9718296506879804,1.1060957175608481,1.105559378225054,1.236703348888726,1.302495858308447,1.6072832473425682,1.9744650597146336,2.0412846322478218,1.9369943216378724,1.552980151410677,1.6919034653730511,1.4182655631118002,1.184499494880996,1.2189851448734677,0.9850807869090731,0.9186112976215582,0.8263882870094165,0.9065080347513349,0.7641141530932378,0.7112152215110426,0.7484310182133478,0.7093855367473162,0.6848174474664344,0.7083066851675315,0.6971610854954802,0.726444857677039,0.7641753906693983,0.8100082210194283,0.8323628492971166,0.9155907359417218,1.002410963239859,1.115217914591002,1.1869482325256941,1.0164615363878216,1.2308333208673679,0.9021946388932028,0.8051296467167248,0.9046539923232259,1.0268518791699777,1.4181982035871645,1.215443795622309,1.228284732722163,0.9605016639233214,0.8733901705227286,0.8219281857495995,0.8922781824997438,1.022632407828268,0.8776597049906982,0.9221921292284526,1.176670146766041,1.150884382076605,0.9618040145378778,1.1754468550778001,1.3868543514473495,1.1420875404514388,1.2652966460776696,0.8590483978802332,0.9158326323094365,0.8396240857764747,0.7645044672374596,0.8080641496175061,0.7922646708269473,0.8216844749567512,0.7453223366983209,0.7466672864085236,0.7710492329589016,0.8114809827589077,0.736178806809922,0.81735911310436,0.9353183831543672,0.8093269905952014,0.8357064020381361,1.0083815440332276,1.1486529755332116,0.9633427029807634,0.9803097691196423,0.8982008691228192,0.8147108370281153,0.7429579387987818,0.7470899086590739,0.8180719210737547,0.7419551416102266,0.7369523986604845,0.8156507320612802,0.8193467493190045,0.7539418229171255,0.915935793252558,1.0585384531669375,0.8478024381128071,0.98367066723146,1.1254122875369723,1.2868229516996987,1.1167943966595626,0.9283974399429528,1.4036182037774911,1.2043396681660905,1.0800377805142434,0.8817765956429215,0.7637199203894334,0.7562180709637893,0.7876137263366241,0.7497456603927352,0.8457032963460898,0.8157140513072586,0.7883614111138696,0.7630122689419806,0.7903900824509855,0.7608580909970574,0.7738682629936849,0.8133261448259873,0.8004910134859105,1.237186215592744,1.0174314752492764,0.823976113211236,0.9890909329899329,1.3073382258196735,0.8756661210646967,0.9923648955195518,1.0513577474068074,1.9029670928442692,2.451802229222949,3.323353406608846],[0.8213958982878199,0.7940995267613935,0.7612307042147987,0.639779738816082,0.675452741440775,0.6422017383748926,0.6651547337137587,0.698046600192394,0.8278294974716901,0.8752881033682336,0.8983337350434558,0.8937640223757656,0.904672407572604,0.9541062017854282,1.0458388912712377,1.0049520830478649,1.055619470249814,1.1448066850051974,1.3404804807920812,1.2201021217553092,1.3895445916494191,1.5732049764024265,1.5506345756873057,1.8099928584714537,1.5171630662281153,1.3024235250209084,1.1958577506334032,1.1569923410967675,1.1003281163438783,1.0423527261960532,1.125770229015527,1.0026188796445916,1.0595928759492295,1.1176958205044158,1.0601438233973215,1.1046572962739514,1.003391153184947,1.1845168524595857,1.1658150949741055,1.3223798478228121,1.3460403316564729,1.3495826453576787,1.5595426907339045,1.825867625435919,1.9766440523966853,2.1231022882475163,2.646300317655629,2.0944077691181686,1.9033247084013154,2.097064909977424,2.213716649227192,2.2007332609261065,2.8275525483580237,1.6938801385922513,1.9662629210545892,1.5728467404151052,1.4661675562532248,1.441406347807203,1.3962505168760406,1.4418627005803777,1.370820845863611,1.3110964979074815,1.3125259369535125,1.6265181722804616,1.4207841608832283,1.3227295162593684,1.429749368814702,1.2590802470478561,1.3302220075021667,1.2826320954443218,1.3422948319905457,1.7153281435926215,1.4257325708620565,1.5181362022130462,1.323792209317271,1.7638456157281637,1.275630091885322,1.2636404633634737,1.2074691341882355,1.2068993322986026,1.0352221494331169,2.5347251610227617,2.0971059293074013,1.5318631811939807,1.2290057099839828,1.0629515479444605,1.148788833932052,1.0833067739054334,1.1732866228453365,1.1562713414959296,1.205248205724812,1.4584455213077097,1.3306814283542603,1.152582924662564,1.116080570586056,1.1917563182733064,1.1444745829400391,1.0377691525505965,0.9407750144257652,0.8722723570542531,0.9175738305199674,0.7995066613346742,0.890567461602624,0.7853795170262501,0.8986257876540424,0.8016566009662532,0.8204924837073073,0.9037853013511531,0.7961807215453887,0.8697831986869131,0.7477245244074927,0.7924544624244284,0.7357092429269435,0.8135128448309125,0.8876322678200261,0.9498202939919266,1.0852212192697908,1.1710815625783693,1.3446120998600632,1.193668596466639,1.207448417097163,1.061510407309582,1.025028147262912,0.8898282847704158,0.7760372457573623,0.7952783641851897,0.7890760632022468,0.7746325240131687,0.7612594926103169,0.8757450813704672,0.8548104741181203,0.8815242392329793,1.0314293901014036,0.9514959333369297,0.987584758216476,1.1125898732676882,1.0195673706600354,1.1063214705245088,1.02928914596043,1.1104765872188278,1.2489993040900609,1.453865088237092,1.2622886532779998,1.1495460933571469,1.1768587462803182,1.06997196047568,0.999273062008775,0.8905401708816851,0.8287608995115016,0.7475501691532789,0.7506854405754585,0.7562596113855322,0.8256956180947578,1.3786985697142653,1.1309908008047995,0.810174152726415,0.8065126254150575,0.7442641688352644,0.8608809252212976,0.8155513292562896,0.9217851251361264,0.9951120909872508,1.0952365816980352,1.1794114419543749,1.3664333314131525,1.3740403633320069,1.5491353523470692,2.0753363941742955,1.7382676534123207,1.3402237786508606,1.15465778502032,1.098645219902801,1.084121526895468,1.0615181140535952,1.0120642839752725,0.9577445575060843,0.9389965338687934,1.008219498574182,1.0510915091841655,0.9975720940129408,1.382266042182808,0.9489930638502561,1.076232868142835,1.2334950277826677,1.241485537412617,1.415619673726838,1.469751599971698,1.7708841339080001,2.116355254882106,2.19922138904572,2.141138090572657,1.7269692152428835,1.7713232538465147,1.497823321182484,1.2552445271033206,1.278406594617984,1.0381823181049663,0.9926745113974764,0.872013999091914,0.9125461934732607,0.76948849241855,0.6828083815751385,0.7037726159397886,0.6839724390939153,0.6551113267760519,0.6633461618899965,0.6561490009626602,0.6992480945774905,0.7326477187582648,0.7929025361577225,0.8348258008567436,0.918168093468494,0.9906816000935444,1.1314766121318809,1.2232880180942287,1.0432053710630282,1.2724693160507923,0.9201239914188974,0.8135238906185613,0.9147363299625595,1.0160873353175008,1.340669910768014,1.1992876060900755,1.1885633318653839,0.9583237368457572,0.8618254110206945,0.84096625680354,0.9163962787289291,0.9905699125054195,0.8912445543077676,0.968074665298228,1.2021177651760158,1.1411205535649904,1.0141058058547594,1.3170349437146367,1.4446235758565507,1.1958006644313004,1.3322655925390106,0.9126105698265035,0.9617023499907295,0.8809540388164151,0.7742219548208383,0.8058454738565924,0.7400575684876344,0.8226068175797675,0.7311829861389342,0.7395437040507425,0.7428106947649793,0.7712925703909044,0.6942013985556602,0.7658282589421409,0.8866939705563596,0.7680346709314059,0.7937430247175917,0.9720214200519294,1.1424298455162647,0.9310506082171369,0.9294973160475418,0.8580171041379733,0.7667799344291775,0.6962572545665938,0.7010129529421119,0.7800696461855152,0.7162572421104384,0.7163628087849976,0.8017824156140753,0.799090852847532,0.7404498497954706,0.9124402283116596,1.0347209789050114,0.8368451946975383,0.9910168521162991,1.1559479601207387,1.348056178905253,1.153431218404261,0.9317845262898814,1.4898921635350237,1.2455312820181437,1.0671616977984961,0.8833151547233461,0.7495601296265243,0.7539649505393011,0.797317294469215,0.7355627612337144,0.8128936260015809,0.7841201396515778,0.7787077938455208,0.721010628099751,0.7643409559291401,0.6944416798244072,0.6925068580676077,0.7316209333684908,0.732689350893211,1.1457102123516276,0.9139653977705701,0.7555404818170272,0.9088176259641069,1.2017072764735843,0.7809147715002378,0.9497067098111527,0.9686692679809908,1.939821171124811,2.4042124381555885,3.2816319794472375],[0.8698283594387777,0.8545023421607628,0.8285276420899618,0.7444976654401904,0.7662575708397968,0.7872272232485621,0.811471663992273,0.8391005883339241,0.9560317638590192,0.9831191128837484,1.0105845669339069,0.9956038923556005,0.9952327198658114,1.0443907156017316,1.1305116492252343,1.0872878931219596,1.1331736380876738,1.1805809398336322,1.3036040762424526,1.1819575831899156,1.358091980980123,1.5509192045509417,1.4514465866391748,1.792436484797019,1.3521063959206112,1.2136269223515843,1.144941430579757,1.1641190078680548,1.132737399831996,1.0922825930569142,1.1778935986654933,1.0863356087509386,1.152137685081009,1.1720813500622806,1.1076029867484443,1.1161301459100015,1.0533374636414292,1.1793675830671393,1.1266197889296248,1.2548604027626684,1.281696125398487,1.2943515630960698,1.483088785647989,1.7648577499606457,1.9045604387476252,2.1022508128668145,2.6002942894886556,2.0010487634067573,1.8515213647285926,2.009896292447401,2.108610034767621,2.2953615590227487,2.8634571453602318,1.6220470790534531,1.8286901028616076,1.5056563057367762,1.3425396480683796,1.3373824864922086,1.3149057356500138,1.30610956655081,1.2230478499505872,1.2150775709294297,1.263858157788943,1.5468884424437213,1.3656732986943052,1.241854175374343,1.3743394083659397,1.2505737762828737,1.3422089129266914,1.3155566362898656,1.351146652007446,1.6746334404903198,1.4426272359549641,1.5069678736309002,1.3242548590472787,1.7912230298575817,1.2550545413214629,1.254901781640932,1.192776648638074,1.167262136600415,0.9748455312329249,2.6172659410170827,2.229102270395922,1.4353287098686764,1.15972890860454,1.030276389399987,1.1142361491948125,1.098954173479792,1.16632072333616,1.1860181814212203,1.2147575822732248,1.4606035913952826,1.3521913452447551,1.2082966269543156,1.1923064351020858,1.2699302064205924,1.235170952941506,1.1392083267262436,1.0626704014220267,1.00309529641047,1.0336731437292752,0.9387816201192688,0.9730093297648352,0.8646908339736903,0.9155503384816758,0.8337429551502185,0.822751409552103,0.851543195406792,0.7993461614223549,0.9847830429895846,0.8465149776086558,0.8658021231258478,0.8408346050346565,0.8926797532546906,0.964981949608907,0.9988447475309382,1.114404965437861,1.1768303797835855,1.3304351067103557,1.2156511217569175,1.2293355118455613,1.098359636398436,1.06304557979191,0.9684433738076152,0.8785642768712518,0.855926764663352,0.8809542732959621,0.8281860394111215,0.7901700209876781,0.8763991274572791,0.8017795999237765,0.7861314455862137,0.9499514061028305,0.9133822071141376,0.9490596125054636,1.130517591641024,0.9865991572465497,1.0790537707429055,1.0258555735804549,1.1097192318189022,1.2495655556264653,1.441595021816248,1.229030989819411,1.1436815071927293,1.1566268754265958,1.0881789604568328,1.031095657918452,0.9586923496794819,0.9015920145854114,0.8567001381383047,0.8675490150998992,0.8881773757785284,0.9306045891802895,1.4247802050160865,1.2035268114254234,0.942951744602004,0.9420459343737217,0.8635231475420067,0.9595164077774956,0.8751547825223228,0.9516195525984713,1.016919664081743,1.090041816412783,1.1430761249506918,1.2859113117586791,1.2568102471707105,1.4168111565102193,1.9744724089636019,1.652504557270266,1.2939952942374597,1.076942122828721,1.0609299803558985,1.0457211039618683,1.0487900532089385,1.0201943835959733,0.9801932609354866,0.9876076782375818,1.0496450226387777,1.0663219747101407,0.991402973950365,1.4076532019521228,0.9364962262738846,0.9945210442446486,1.113005280728058,1.1328645659662653,1.3049011135645532,1.405573376807606,1.6772544160528906,2.081820888490573,2.0516137447266196,1.966795088201464,1.6626016185706851,1.684202747970586,1.4051025386799862,1.1488756598247116,1.1682661110333028,0.918485930961639,0.8354776217931933,0.7523284605763408,0.8854731010739342,0.7181434393059997,0.697995801215852,0.7295691397702659,0.686365377334253,0.681649280111641,0.7449759754929658,0.7214284123207736,0.730092988188888,0.8079604784412526,0.8615853202722499,0.8885926481725464,0.9655798844001938,1.041913253897194,1.1479661729309127,1.2184400438897038,1.029965154902728,1.2890419368027222,0.8842745822712811,0.824094036577539,0.903220870761571,0.9782220906619916,1.4035259848268884,1.1853018451890829,1.1948297561362582,0.8831165403100588,0.8036638333087023,0.7833806806467547,0.8246835989952529,0.9168196415014727,0.8118169566633142,0.8750481409389989,1.0767223091933575,1.0393180478016169,0.8794886571773057,1.1655627196579692,1.321232588818809,1.0733796940779763,1.2190344486255813,0.7945023394093162,0.8637835931428477,0.7842614571398326,0.7269846177400868,0.7937370884519495,0.7747796460905702,0.8679414767524267,0.7471938125562495,0.777858540339529,0.8373040124237403,0.8659516367962841,0.7769258898485019,0.8674957758187712,0.9900092669062536,0.8575842610415391,0.8706916510988255,1.0472297375852013,1.1882764087207263,0.9836875542156334,0.9758622023652157,0.8982385231787079,0.8147596251170541,0.743313969146335,0.7354885173181415,0.7872266023721097,0.743284603462011,0.7106788973205241,0.7740920718718558,0.7939214591747801,0.717652407225713,0.8567674537030169,1.0307598977387886,0.8144990582093982,0.9301714977888955,1.0570658490701101,1.2258365391529567,1.0656914214000446,0.8950829265205642,1.3808589713955426,1.2183494522514329,1.052458858865286,0.881496179954393,0.7786862667668201,0.798131957582064,0.8411223175052671,0.7494729839545209,0.8021708999107557,0.7615409199721548,0.748784918293314,0.7314407122940916,0.7317357340801985,0.7327797292856332,0.7636684729170229,0.8374297932531508,0.8621662929860575,1.3610909330190395,1.0570979122484323,0.8831479296654468,1.0697654052173462,1.3616255942140856,0.8947620732339306,1.024303296038897,1.0405536807758362,2.216129826763523,2.651503197648267,3.4054903155776293],[0.737738889968839,0.723738551594875,0.7000865453889407,0.600067621449125,0.6449698027295458,0.6185336101002072,0.6466159588934289,0.6613573626390011,0.744952719867882,0.7591064343692415,0.7731053252176728,0.7914869139044608,0.7652415584732049,0.8061554569632335,0.8619048433053905,0.8329631596159416,0.8910510812204945,0.9246567358727814,1.0549817798624155,0.9390855169592507,1.1125808047595092,1.3194732198675745,1.2583576021504694,1.5193833299263706,1.2520208772950812,1.0393015878766703,0.9413070057792258,0.9424565582748605,0.8908252986123274,0.8509157398069778,0.9109496618886225,0.8343420227915844,0.8780326111423584,0.9026943441190701,0.8634880951868463,0.8777662569431233,0.8339523387859117,0.9765762415546846,0.9377029666501244,1.0966474551228318,1.1188772206989208,1.0918993164190305,1.267106617985545,1.585407220739697,1.734542411788145,1.947104053059935,2.462387977727967,1.8403136471559742,1.7204387637029568,1.920991760016366,2.0258400827304417,2.183905054552344,2.6620503401835673,1.4604104114745986,1.791178310640692,1.3919921108652265,1.1904983173211225,1.2059005305808392,1.2220848543531744,1.2017305848430881,1.0821716258262757,1.0215573788851233,1.0073005905593067,1.265604491383841,1.157749764484118,1.0109416059669152,1.1427139932730839,0.9837259878649987,1.0745449098848716,1.0676653970048964,1.1119714370073686,1.4285527349260985,1.1500400337372565,1.2329784543624616,1.0610655984957729,1.5128737297620711,0.9898934366639435,0.9847862523979835,0.9456984345878691,0.9454821002525841,0.7415976298666974,2.5713389010217327,2.1769893717939817,1.3456045401604577,1.0063369039288803,0.836741334231103,0.906759129566727,0.8855380229180763,0.9223944740565407,0.9249157557510793,0.9408590226840766,1.2008126560477224,1.066747510831153,0.9150308739761973,0.90142573873143,0.9665068500468652,0.9433037607854821,0.8725753295803422,0.8175159868309289,0.8035875374751201,0.8081990385694502,0.7540063385250977,0.7659187265453937,0.6763724566665583,0.7955314236797187,0.7070919191126729,0.7555488555792909,0.8094106878989876,0.7369771949584436,0.8852444388465132,0.7353726652400838,0.7464388152642224,0.6868481799355857,0.7388833969485369,0.7759903860801726,0.8201686281751026,0.8983175343175497,0.9860839769837813,1.0921464514658004,0.9682888855457285,1.0031876758177676,0.8856360398519352,0.8935934624028076,0.7904425744814711,0.7146906443440004,0.7415989862330626,0.7756179923553244,0.7302828596833035,0.7135228597371988,0.8021823284192257,0.765639153917801,0.7570851036178238,0.9227254096185941,0.8568909953609415,0.9026581299670641,1.0898577760443304,0.9689146227981726,1.0484486733907763,0.9338555409586835,1.0007532422905856,1.1109575306817168,1.2825412054937748,1.0415388296717505,0.9759790342894694,0.9880769767229123,0.8927837096607072,0.8519135237882097,0.7715457912385913,0.7278682037443087,0.6748339415875702,0.708796516202674,0.7065241601773898,0.7721281734431255,1.3319005161579942,1.0793606441758226,0.7460522570486446,0.7322788183194004,0.6751464652053115,0.7569162927092898,0.7320979213955563,0.8079324317018799,0.8516923931751778,0.9523082774758086,1.003746907299826,1.2147531023433997,1.1954960374718593,1.405714542582262,1.972315860233541,1.667761121301366,1.313482264971938,1.0554547022130598,1.0017974621671581,0.9653775436179471,0.9437792717027629,0.8778754370831464,0.8343505550052109,0.7983154918897223,0.8765181731507495,0.8942489429393523,0.860729440318981,1.3116980815638621,0.8376027043260724,0.9222584366741118,1.0565287277370599,1.0639476854015715,1.2114683686804106,1.2962747649243078,1.6130890243582028,2.031868008079596,2.0420971650753112,1.903752501986767,1.579389302169744,1.6566103655464717,1.3975728863722512,1.146099296140506,1.1678321340663562,0.9166063009143064,0.831243653031089,0.7343345919277322,0.8212767809133077,0.67151067095131,0.6157697308926426,0.646780187525096,0.6190729439296081,0.6009874307013765,0.6365180169803814,0.6324644381813037,0.6628519194760828,0.6966434452504511,0.7526248021371925,0.8047137248350932,0.8826154365361607,0.9491691862725591,1.0783154931620853,1.1792610923794997,1.0102356869326696,1.214097428446146,0.8686341754761633,0.7799942275759569,0.8655528017576639,0.9582711156789421,1.364058552731453,1.1335973190806865,1.1452592026365755,0.8523385299381805,0.7642247707904667,0.7507326369452849,0.8034047855562791,0.8840243597654218,0.7863193130809634,0.8419520580766295,1.064360923079243,1.0200973271973293,0.8634914125140322,1.1437081723078575,1.2869287248216026,1.0453709263761317,1.1995208252562481,0.7760874239384726,0.839738826126898,0.7628383016321838,0.6928696119293958,0.7475109411277052,0.6934408067681537,0.773089471048775,0.6798184485261279,0.69240492746407,0.7132519852620699,0.7514385278294581,0.6618341821452246,0.7433555709766806,0.8682019238066951,0.7355552377241799,0.7570360494673121,0.9333077782922051,1.0838202053067156,0.8933392047099749,0.8941415827430297,0.8248562125931671,0.7279887240134331,0.6553847535830672,0.6673270835517003,0.7267523267237509,0.668199029985483,0.6460530986363623,0.7293687839951437,0.743315466730735,0.6728443846245403,0.8240237050363429,0.9927969422625176,0.769856458140741,0.8972196630891096,1.0389100429728046,1.2061608945782145,1.0436893883639127,0.8691336064473115,1.3911277172387562,1.2265766551061899,1.0390825413009979,0.8714739977732546,0.735571662198961,0.729510470552428,0.8094995659165614,0.7002365989433303,0.7698603705789638,0.7315241092106235,0.7029152954369328,0.6625214374952709,0.6810078043582494,0.6507186718049714,0.6587426182573763,0.7149354185551785,0.7198891316735214,1.187915638806835,0.9270203447738552,0.7370389943517848,0.888310295537278,1.2072577233534492,0.7372627262261078,0.8907155771876506,0.8892920874373182,1.9225368779161707,2.4479948635690922,3.2644920121902405],[0.7180099721946445,0.7059882814398812,0.6883807305837051,0.552843120551013,0.5697165707178306,0.5662519971872083,0.5467441986849633,0.5708871504550745,0.6555934912781675,0.6570671205751941,0.6724168311651519,0.6811141057170544,0.6672088643410877,0.7011057440001711,0.7858951189350863,0.7477266490286687,0.8054345717831167,0.8547828039531952,1.0225680736802574,0.9025564070259681,1.0961498539872698,1.3059014486437621,1.2931681530458312,1.532870705195496,1.2623319231189105,1.0213270915812978,0.8790673105320691,0.8650055652390888,0.8121918136507383,0.7670827701617464,0.8471225375098852,0.7517887548971914,0.8048704598245745,0.8372892708915064,0.7995200956851266,0.8281012843705445,0.7520531411830595,0.9022463838200446,0.8762020681887837,1.0693999739931768,1.0665088849356246,1.0376476256853375,1.2778479145432948,1.5776687253970565,1.7370476867343403,1.9251821007692913,2.4960257273654887,1.890759339993564,1.7052098749469486,1.957378310427872,2.063514755387803,2.070066759462614,2.6736834852803644,1.4740562588610038,1.8171834970374416,1.3466678418469111,1.2000730481650572,1.2086347227145864,1.1621140360272062,1.2974084640933086,1.1198924124522927,1.0341025506607497,1.0115788059814346,1.3031094503925156,1.1712359759303181,1.0225366066085744,1.155320008360802,0.9690689621832627,1.0575466601459218,1.0411771735270576,1.09331821976024,1.4979646352065004,1.1389241210644843,1.2510537084626234,1.0338642533883828,1.4770087331672785,0.9865923576221279,0.9718541341243108,0.9304704735696054,0.9240023581673433,0.7352041145324588,2.376115099937985,1.9014783596023055,1.381484741686533,1.004422453246785,0.8050214428036684,0.85155908487628,0.8364502819385997,0.8853832188235482,0.8873088429292468,0.9160331412111913,1.17931045938158,1.0605239565269533,0.8645671706264284,0.8354767600060033,0.910856925543796,0.9032492624212547,0.7850073651729956,0.7161355997219879,0.6873456880154245,0.7196213309381205,0.6555319732215947,0.6982038440548305,0.6386565540981206,0.7314153111156018,0.681983816457942,0.7184747533939775,0.7933952556720757,0.7103179162650161,0.8117674175629623,0.6571882919140832,0.6578982939744454,0.5906909013878923,0.6332084222448277,0.6511895521553949,0.6935740346096555,0.7900321190919309,0.884530092833989,1.0519234234929562,0.885931705479949,0.9124489898524442,0.7916625304152228,0.7549497684170268,0.6521804043474856,0.5990554222869806,0.626037198034788,0.6559574190652662,0.65834569583973,0.65931250199143,0.7615935081942404,0.7519665623958345,0.7697904780639127,0.9055357429210334,0.8369039765280729,0.8591261121016702,0.9644257313402982,0.8767379961350459,0.9331429167458453,0.8098473640804976,0.8764196339288596,0.9787943348240196,1.2128279676439078,0.9636323948334485,0.876307693761891,0.9107802632599923,0.8074690958602482,0.7517457488398102,0.6667868997214456,0.6298790532129577,0.577001731776699,0.614885001872953,0.6175629590314735,0.670257473026573,1.2297456223924657,1.0164679456213577,0.648313036917646,0.638623866831581,0.5844301403288901,0.6660580036231849,0.6742638035943314,0.7353484219712484,0.7733591210856668,0.8671643420906322,0.9496711750856007,1.166634381779642,1.1301254192318528,1.3605075639797888,1.9166338619027106,1.590214866904657,1.1552958427819828,0.9853713451008839,0.9037777235472632,0.8935545657752182,0.8645614684716589,0.8073237431623096,0.7667760990478081,0.7217941607659194,0.7835865340772548,0.8209801678911094,0.7963152346449137,1.2204179735860647,0.7795541689397293,0.9122921739545254,1.0602141749643252,1.0481241606886933,1.1966485417574169,1.2621957503116341,1.5920976934135733,1.9591882162716499,2.0488661380366513,2.0033831722915885,1.5927616121769783,1.6756477888854826,1.3736543748919323,1.139894634419715,1.1994578823725834,0.9314398477857904,0.8865268655790842,0.7591317975690519,0.8385261628402567,0.6881902338455902,0.6224363091781083,0.6374988247445558,0.623013212984384,0.5975258994867633,0.6050387415264854,0.6258412528098369,0.6653317895281428,0.6627855523994852,0.7299522922554978,0.8010486896945235,0.8674306322050677,0.9287780354719298,1.0820220354086565,1.1889139066228411,1.0673227569237762,1.1835404009584523,0.918440686880528,0.7959975927170885,0.8928861888976395,0.9892613345951062,1.3563597083525087,1.138311828305957,1.1466467764852397,0.892383354848195,0.7997226912990956,0.7435214507815978,0.8429774733250319,0.924045528100152,0.8407778333857,0.8796074114109983,1.119789421878122,1.0464037872001184,0.9089039004090949,1.2320472143684136,1.3423376888705922,1.1188595942841644,1.2404661435380078,0.8146055474585547,0.887822178859094,0.7941142605550657,0.6900335137971773,0.7868748177011223,0.7285277254666171,0.8122071246402605,0.725383911337355,0.7313748076528893,0.7199467878216518,0.7544596564056913,0.6318849981269278,0.6875770981593635,0.8039161082744639,0.6989474532311676,0.705898170708946,0.8689098231702906,1.0445425939780648,0.8600144158223966,0.8580356466150766,0.8048356289684578,0.7074012470631954,0.6311871129199605,0.6704396393943322,0.7285790554402863,0.6649299711030333,0.684672094421915,0.7713216461123299,0.7736327173331501,0.716026929129448,0.8847393354754118,1.0076570226977999,0.7979948517129963,0.9351038188018269,1.1004746046597433,1.2826199053464584,1.0986800913078965,0.9121850013726529,1.506796476538656,1.28824361761024,1.0847546126277654,0.9226436225947597,0.7703345864919462,0.761462810110313,0.8883411082437527,0.7360766686466848,0.8036029155406282,0.7117762691546273,0.719544917363112,0.6532714224263751,0.6843697400165053,0.5864609035010795,0.6267928569085751,0.6727781206357184,0.6589904873051895,1.0930575339560253,0.8637320618870471,0.6852396087435547,0.8064864949612366,1.1221827329158585,0.6630153496167353,0.8707072321298629,0.83650739945751,1.8949139792984953,2.4493589431846323,3.276861340083868],[0.7040927017022206,0.7149408759279364,0.715100897437347,0.5769353403653215,0.6420046870227397,0.6701809134566373,0.6904323061813536,0.7250724247394886,0.8500713600300772,0.8836955888845403,0.921064071018629,0.901361636881508,0.917385992738618,0.9578994110279183,1.0388382861580345,1.00331205338186,1.0660211818700915,1.110093742410196,1.2594957783934513,1.1561095400413903,1.3436344753749054,1.5412878136208956,1.4535325366742506,1.8080235554253623,1.3884087346795706,1.2111511098337018,1.116704694792428,1.1104533707987798,1.0749859236499792,1.0339037235965178,1.1014258809483524,1.0174901347517862,1.0735133482916248,1.1316459309201186,1.070109681302758,1.100788209858316,1.013399332641837,1.1530194553962012,1.1186210247063586,1.293175889433586,1.2949000273198,1.294550767206314,1.5330587279706682,1.8033071211255909,1.9285407210564087,2.1287195088768787,2.6287208033493803,2.064547945485384,1.9092466335146936,2.082839749421497,2.175606498467907,2.292038257764119,2.912249805412269,1.6714572811053365,1.8709562734960332,1.5181354270228085,1.3746001505227383,1.374974847895068,1.323801941671586,1.420087015068882,1.2870877071367954,1.2386702044903013,1.2684159906850498,1.55350834717713,1.3870059877137362,1.285528628972396,1.3926850242238866,1.2198378970324353,1.297290151127158,1.2641790493882918,1.3172736449913736,1.6947017386518801,1.3826940924526379,1.474231267918248,1.287859955009584,1.7031497605844725,1.2405523575812603,1.232082220579386,1.187420688048229,1.1849180636867367,0.9831718115074443,2.507174681079016,2.0641342913312246,1.4979398603169751,1.1999110181956303,1.043567999362977,1.1033538609073763,1.0912232816794585,1.1568656683404246,1.1646110581570221,1.1963558411109054,1.4344337878308537,1.3304122682798636,1.1273291553389841,1.0953702491988688,1.158518440082803,1.1246700018060969,1.0343936852537399,0.9624338844523511,0.9220738862678141,0.9581282362747848,0.8593787845884381,0.9305207411508039,0.7975847028241894,0.8678458967752628,0.7795811184926166,0.7834096845527339,0.8418724109321802,0.7300273389449132,0.9089230952903156,0.7271812096381328,0.7884584290437531,0.7415620000838399,0.8227676477993721,0.8809431253077564,0.9145234632982552,1.0310696781686248,1.1164857773850212,1.2662648697304584,1.141825084643546,1.1557259409076923,1.03286343648088,0.9675466309594917,0.8745502007370941,0.8007491814318569,0.7788923814209419,0.7457934082234232,0.7589634648392332,0.7077444031029643,0.8462881672248075,0.7594482052213053,0.7798845606500653,0.9740660065133896,0.9390684623527825,0.9590396365227615,1.0869667935041796,0.9212071355102417,1.0484431924062216,0.9750880897360535,1.0903396449350784,1.2274953291002664,1.4334962519814378,1.2022463748997212,1.1088561737032945,1.138060229690523,1.0515129767543379,0.9755017058871895,0.8908038595405553,0.8296768154618996,0.765425432395597,0.7673642977677946,0.7751886122251405,0.8093810036287258,1.350028665060708,1.192698111832556,0.877580338127657,0.8673992256594225,0.7777142945637168,0.888952836197129,0.8413561138183613,0.927999832795645,0.9913242410171904,1.0731033738015396,1.1535842909245584,1.3358542700134417,1.3183312804449574,1.4810398125805768,2.042670946033277,1.6922940155823984,1.2737153325512458,1.1050326980256158,1.058763044738525,1.067187461746647,1.0530965497386453,1.0216701037361229,0.9721999780824222,0.9660686793546952,1.011308289785055,1.0578276960277442,0.9996943465176348,1.4116072077327,0.931208519347774,1.0311954683724074,1.16743137319741,1.181158168815689,1.375783943625752,1.4671747585191135,1.7468490095090838,2.1058135481205857,2.11177463842592,2.0884591069665985,1.7322663688266793,1.7248426336357192,1.4378372215062545,1.197368062728708,1.201587533716754,0.9226895942539164,0.832383179181704,0.6832983135671354,0.7931580680370396,0.605662344898711,0.5704080182504536,0.5926121798826881,0.5423448270898215,0.5323394050112205,0.59777186874136,0.5938814187631981,0.5972088494315322,0.6592115283232806,0.7484832726562807,0.7872266818801414,0.8546258796302826,0.9389821657143523,1.0607912230343715,1.1554515992692416,1.0150185521007162,1.166005711813862,0.803082220441276,0.7039753882870298,0.7904950264249088,0.8628017163988763,1.3220396011066406,1.0134891950350455,1.081086614429448,0.7997721798528168,0.7278251248830434,0.6788395917849825,0.7641408813605378,0.8269041118515079,0.7635826713313417,0.8000211896964832,1.0336884735965066,0.9655198758255379,0.8215040166138963,1.1688515247101163,1.2757209103307428,1.0441677087717918,1.201487709603747,0.7192287584710302,0.8326207889448621,0.7183688429204131,0.6259952409819519,0.7572387616906986,0.6933612640981914,0.7969770455903225,0.6756127932883138,0.6693786781480345,0.7193065429526163,0.751629400078781,0.6480898708025153,0.7372387236183825,0.8789192153865212,0.7383146529705417,0.72504441551722,0.920348637065271,1.0909219112810884,0.855495121692479,0.8401223207086106,0.7642291672116801,0.659897309066996,0.5928823353780746,0.5876350556759556,0.6405440798500316,0.5907315843153125,0.5813626048824949,0.6612133846710571,0.6769783544579593,0.607612371144549,0.7715645485939524,0.9411640837055633,0.6934798983089715,0.8251844901948989,0.9790803794602756,1.146014339247493,0.9706573835938699,0.779807869984128,1.38886070197411,1.1987660139450813,0.9850716113879763,0.8338423033688617,0.699470830459822,0.7514346911245721,0.8661297872206224,0.6478046003530894,0.6578577366218701,0.6130187005364695,0.5949513776847559,0.5903674506589959,0.6192529083140956,0.6024083636124409,0.6036490786054036,0.7001579247432382,0.7174359005669902,1.2724487835384086,0.9392667469232705,0.754441393618163,0.9416705837447469,1.2596146237987829,0.7502715970225206,0.9576473117183142,0.9407913700851346,2.3050493085826513,2.7989148382399383,3.574761106277853],[0.6855042081658046,0.7121764882551019,0.7117876264652245,0.5705397729080779,0.6392246814722332,0.6187016294854307,0.6259830471793519,0.6567809907065899,0.738879066847312,0.7492811363978436,0.7473761042657023,0.7554024612619302,0.7815829203676027,0.7895358475738461,0.8669578530333288,0.8557459714164969,0.9267929367696459,0.9670947119609066,1.1191621729171288,1.0280426207015354,1.1927777208577652,1.3987757181732094,1.3254648713761883,1.6078247455283667,1.3245861779541521,1.117177521220447,1.0362881946659177,1.0206959312565516,0.9568204235110028,0.9189072528851951,0.9433577849171048,0.8741723537745139,0.9179475930029054,0.9427687757213895,0.9258546832910851,0.9527998596995219,0.8954547233643692,1.0584080289376274,1.0371129247399733,1.2060378877477518,1.2308754246626965,1.1933601931115878,1.3764659865447917,1.6860286870366954,1.8273548800784947,2.054095752420184,2.5326660514248895,1.930389674281475,1.8086469482649201,1.979023538058454,2.0531653264558427,2.288410553074328,2.780939861667908,1.5852229091061274,1.8207288087471902,1.4648303484915102,1.2864941740591134,1.2707773138069793,1.2439011873800014,1.3113223389045618,1.1889297483627976,1.105866639053002,1.0976833824308343,1.3474650918566036,1.2333026693963975,1.1127793564075792,1.2012631717864073,1.0448536849297017,1.0964723655577844,1.070760343747274,1.1123975082608362,1.4490954427585976,1.1575690487850878,1.257663051587147,1.0924099640751785,1.5478718310254245,1.0696280299300414,1.0652947404723068,1.0362676290738702,1.0382720877317904,0.8625963065689709,2.5452880333788848,2.125631615890429,1.405699286662094,1.1243333171336036,0.9498545105627841,1.0077732180868877,0.9764431584851583,1.005801489127027,0.9892724708522289,1.0007413172111594,1.2351903587528372,1.120676390492099,0.9466105780738255,0.921241589632777,0.9665584942500625,0.9497108683219794,0.8782978252335187,0.8144496907457448,0.761694935974954,0.8400429676642194,0.7607465196839565,0.8485610566838256,0.7625335264848222,0.8581413645055719,0.7729389477664921,0.7802613381806467,0.8534969215858744,0.7628866831087424,0.9128779889100436,0.7415175519255697,0.7807387046091556,0.7072965497265543,0.7860947679015353,0.799526123267859,0.8568580432216168,0.9513211239124211,1.0520949430422537,1.1601231759692183,1.005815849729348,1.0115611464169465,0.892498787214131,0.8874907944832778,0.7966207383288609,0.7189954796945953,0.7537665997054764,0.7462485374808626,0.7600500383639334,0.7384960491780844,0.8577511449829922,0.8005069796893826,0.8044692979290157,0.9805941114188266,0.9360288716253149,0.9683088481027481,1.110540337415964,0.9731409169109779,1.0550247901761096,0.9933825191375654,1.0745471528161628,1.1998412436316224,1.378941897768774,1.1374950152939995,1.0687500775030097,1.0865938508475466,0.9821076333461549,0.9324722532606757,0.829470729863663,0.7843758539544452,0.6945257196081612,0.716451695043071,0.7003633430467515,0.7448936102843376,1.266935947081376,1.0682960444733918,0.7445875535414251,0.7421232185358759,0.7048540664909719,0.7975149800792966,0.794791967729004,0.8841621630322747,0.9340656297006387,1.0465660601600633,1.1098922226856327,1.284171620204708,1.2762603919521296,1.4374256906782101,2.0012056545974586,1.6772234091001965,1.3154477971548326,1.1045663683528242,1.0625576905612373,1.040983612277582,1.036931373941882,0.9810801260878058,0.9242283196047433,0.8879966570510262,0.968783242372825,1.0054692901997846,0.9629118462648077,1.3744261155442459,0.919649692685255,1.0275836152657039,1.1658823698888088,1.1706687785578787,1.3291269272181065,1.391385240105066,1.681215313537073,2.081769536055226,2.0487037848566394,1.9782594932047421,1.6917234974787552,1.697132465760772,1.431736027035129,1.1849495700409127,1.1824978846522924,0.9292581440925761,0.8373510759281431,0.7195967386956037,0.8342683040885631,0.6401912689530268,0.6102430618739036,0.6334818644015301,0.5713353702350548,0.5614187884294767,0.6196968532064032,0.6167965328694737,0.6075950433822285,0.6675219886065512,0.7403867754333363,0.7816672936094743,0.8395937875472217,0.9185572379995686,1.0335956352486164,1.134702177329797,1.0215804800085557,1.1440583707083307,0.7738252216995165,0.6965920349758945,0.7755279614935516,0.8243696946421392,1.3403503253896674,0.9773692747633703,1.1061305004683355,0.7963870572912889,0.7426491820777404,0.7231232413565243,0.7957002109568786,0.8216709387186509,0.7818204185105574,0.8391556677834293,1.022074011525808,0.9674912424117973,0.8310545870538337,1.1451455616338078,1.2295242262117378,1.0104409108247838,1.2215841698598482,0.7379479834325218,0.864916792054204,0.7603524733285929,0.6709312963068965,0.7807383492400842,0.7385013760034325,0.8215864241196124,0.7090927588320537,0.695438881479636,0.7663201090539051,0.7903830749282172,0.6712007837611182,0.7379004051291441,0.8636172934061277,0.7269078953830431,0.7274695742180899,0.899024955491604,1.0605830834950496,0.842938633068958,0.8291576174473172,0.7564148815606644,0.6715508749087509,0.6172646173437828,0.6193338273662513,0.6460752518383654,0.6085655048759074,0.6022209027432756,0.6687805541656829,0.6974616861325169,0.6255067328756233,0.749905175437967,0.9398198164438742,0.6937855332210854,0.7880852419255492,0.9072525919694188,1.067952845083288,0.9151956100051203,0.7543821860527812,1.326699503145421,1.1843438459313158,0.9415357329127176,0.8183091206080055,0.6968084833519543,0.7468822418380053,0.8802363438060657,0.6533516865942887,0.6427380497871459,0.659935121848786,0.6215763296125607,0.6314360523974273,0.6577800806646164,0.6282478052256203,0.6218270967086681,0.7248671664571377,0.7390808654367316,1.282705681435892,0.9433065047177909,0.743724684428282,0.9279273881090081,1.2416017563757415,0.7283205801057732,0.9509514439670922,0.919505198846734,2.3062011545701586,2.8109910716926634,3.562690204184548],[0.5713495956463589,0.5805896071089758,0.6195223630020387,0.40534001325852265,0.5105478525996882,0.5011458890863965,0.4782575071390415,0.5006019288761218,0.5695722955962471,0.5658980493132967,0.56098240012852,0.5811324561775904,0.5904420340776604,0.5886282715790624,0.6662073467565853,0.655168822942961,0.705541602133956,0.7287780363632126,0.8722544189927721,0.7886672642088837,0.9469214175807261,1.1532660349353323,1.1592177451597412,1.3356246271823495,1.2028904554642637,0.9262113703435483,0.785619157543514,0.7647829802526626,0.7155907670293575,0.6788680573538318,0.7193135435875712,0.6522993365373649,0.6836101728146954,0.7331194503240287,0.7003421164205894,0.7263581727362424,0.6886901797968633,0.8214394090807676,0.8139725721474077,1.0111276391864827,0.9936187401756699,0.9270666827234381,1.1345506515164483,1.4652016121479838,1.6171302737872284,1.8366417739689167,2.3843759075009636,1.7653912829791305,1.6453139507829395,1.8898369702173692,1.9883329767629274,2.046370445787866,2.5790092327591347,1.4170773920112896,1.8184794811056157,1.320332331112854,1.1426157352762536,1.1860219870738486,1.1588975727357844,1.2435503671563504,1.0426997952532278,0.920856957531955,0.8706528045905999,1.1146406176188686,1.0303832648122584,0.8874961185390219,1.0047779580451464,0.8200761169496943,0.9027356915509023,0.901854575755182,0.9783390554404662,1.3709793468342153,0.9745453827017471,1.1059884816667556,0.8827639536209435,1.2846654634624706,0.8400467181215674,0.8317098833423624,0.8168457442926916,0.818641922266665,0.6846920278910928,2.3433480565703833,1.880320297364169,1.3457453537646853,0.9595214204666065,0.7626857294764594,0.7713829506235387,0.7863860998580391,0.7799256727774001,0.7707783013399301,0.7829455260237251,1.0291687714694862,0.9199212240325556,0.7325367139719298,0.711891886664775,0.783329873571227,0.8023165207706675,0.6854951835636847,0.620130662388435,0.6025044032013372,0.6378810618437704,0.6251559999291447,0.6714428018135162,0.6128102920263092,0.7253144964789648,0.6588944278145978,0.7009575745633536,0.7986000971766675,0.6736792214036904,0.7719854443650415,0.6030651083775886,0.6315339664346158,0.5423346223581684,0.6044452514664288,0.5934592283980026,0.6325335973548981,0.7008787102634272,0.787883596700699,0.9034067682220007,0.7487708404240024,0.7641211122083121,0.678533868857414,0.6550058439654113,0.5831527649414204,0.5520535937896845,0.5947220408003295,0.643659966764371,0.6313116550715292,0.6266726759842113,0.7486154450067961,0.7216704573929074,0.7452651337204247,0.9157486702707257,0.8472147252469016,0.8729072624176102,0.9735769249162508,0.8690086563113308,0.9539282642489854,0.7944694234367164,0.8671540877415133,0.9363534635362426,1.155869209675136,0.8731866354973941,0.8113015536625816,0.8495814686648174,0.7357297272232344,0.692214542903344,0.6153210197273412,0.5974797262553172,0.5389454001006303,0.5886478349281147,0.55730992585656,0.6159606821890293,1.12397257790644,0.9516173624614802,0.5903615412373043,0.5725964767334515,0.547899437394609,0.6182133028914821,0.6490282302162308,0.7199654652253777,0.7276125783118141,0.8314657191712518,0.9176977043401832,1.1686071124504893,1.131729622687105,1.3851580409263524,1.9588347416370504,1.6363101488903138,1.2059065986605801,1.014462493893947,0.9152363256532737,0.8979051757755362,0.8610621387758493,0.7909748358865305,0.7515898025972052,0.6869935852088843,0.759558674369425,0.8001662618453478,0.7937839797248045,1.2472320403174537,0.787603583211156,0.9225104884941215,1.0632661743030623,1.0544624605924737,1.1790584862356086,1.2318442337464135,1.5517060744926334,1.9526784424805772,2.011513453134013,1.9572299562945124,1.5807967589183158,1.6619354059992337,1.3897746941715767,1.1549240495676054,1.1985944754876885,0.9179498432159062,0.837817582135423,0.6842719044056369,0.7692416605249327,0.5913610165977221,0.5164311368373643,0.5269412349056237,0.49079590326086336,0.4591721485628618,0.47549026767892594,0.5055247628661963,0.5101703552193878,0.5191275981244745,0.6005448652160156,0.6747609575203332,0.7222405952110595,0.7804768173143022,0.9378445178159726,1.0702683413098804,1.028257375401599,1.0326363808276013,0.7400768594128996,0.6164563920739259,0.693226806741907,0.7830187778710554,1.263465360177709,0.9515241891944587,1.0519024759892897,0.7861771700735865,0.7249550578649243,0.6799326376760094,0.7798684549254844,0.8325330516765913,0.7736556517271341,0.8040097668774524,1.0309672063841946,0.9582418450115069,0.8297918689905156,1.188477797731181,1.271811675921012,1.0410870809724673,1.202390541735128,0.7243914449640411,0.8525332970829371,0.7263689616359141,0.6158329666240284,0.7301253562930455,0.6576770836796207,0.7387065195129259,0.6365735782127311,0.605996694499632,0.6448823262979655,0.6836784176826731,0.5190493899230744,0.5622672812373002,0.7176162285299906,0.5841760657625656,0.5699297748820527,0.7375700526241566,0.9570551675273928,0.7046867599829223,0.6943110586138456,0.6266571109196285,0.5274015457365775,0.4936040620183958,0.5200229972930223,0.5529130681282116,0.49994287382342806,0.5313917920064987,0.6129485251648203,0.6187317923673433,0.5728804082085117,0.7440189112740438,0.8959899902582787,0.6338496867186642,0.7876861362111607,0.927544271018025,1.067548446733506,0.9013718303346566,0.7177622252980144,1.3578091589731844,1.1994865269341075,0.9381013433874383,0.797252201404392,0.659051470513741,0.7106876895201084,0.8853689834779268,0.6003164033048078,0.5944419873820427,0.5743590196204883,0.5354096374334321,0.5207496500157096,0.5864929813345162,0.5239282428362609,0.5039772346353153,0.5867551588040614,0.5625962815809675,1.0602359875770448,0.8041925416484217,0.5793970703476795,0.7461723635311752,1.1110516607808836,0.571769701275896,0.8999463057247623,0.7849140964587548,2.0509511192916103,2.595567283208641,3.39598182709969],[0.6028014052480348,0.6238821721660767,0.6562263164253027,0.46951483518992176,0.5899616535404502,0.5942192910467695,0.598780210039424,0.634866474892339,0.7177391059156008,0.7381107440079799,0.7438422948811756,0.7403639797733492,0.7832401957392556,0.7690918996151488,0.8542879185495388,0.8624834002691797,0.9081704152605053,0.9399841849273393,1.0756489004478196,1.0131964771402786,1.1677511350984298,1.3787055608698857,1.3523170149531398,1.5803860839070945,1.346777523055882,1.1053629109240217,1.0056325918549966,0.9866776235950825,0.9369627387166217,0.8968693603050262,0.9383117089125095,0.8728064326377402,0.8999154818076675,0.9655133529436464,0.9383227103249631,0.9592804613636815,0.9134251168686759,1.0504076758054912,1.04032470353044,1.2555953449867572,1.2269235436578105,1.1691685600962642,1.412831536471921,1.6914833030195016,1.8156876298884244,2.024978401647493,2.567496851739374,1.988734463447395,1.8384302626082405,2.0541484298988877,2.1476593013227085,2.1759791269879027,2.8168043809768526,1.6319852685524987,1.9277050329019445,1.45338000243114,1.3039103471118854,1.3171018550442324,1.2628122978568894,1.394860784521555,1.2067938546944375,1.122019650023515,1.1072293170545113,1.3631117328616305,1.2476709373321215,1.1321539004824144,1.2284397137300758,1.039781403900828,1.087093946554393,1.0802809940189664,1.1350587616887489,1.5525010198819251,1.153430986449048,1.269037299395743,1.0752680001620523,1.4539932187115847,1.0613143581972726,1.0594042055661532,1.0526614688470255,1.0756486103030212,0.8863887598009743,2.4215593007976066,1.9292329531531889,1.5605050306070685,1.1859895691203701,0.9915622967373734,1.0054343163860426,0.9917735947446499,1.0221761117195738,1.0098250165109164,1.0136937508518704,1.2289179222852684,1.1403254675427086,0.960990898163565,0.9231821850227994,0.9813551350958761,0.9885330511436665,0.8799793625694481,0.817549687379019,0.764924062729851,0.8301603687467275,0.8006356807288111,0.8852631677875706,0.7940187770243395,0.9051045487868422,0.8122287491999588,0.8491702996823615,0.9185291220722216,0.7903124243550917,0.8998121771324887,0.7184581649191636,0.7900728332052627,0.6920831450197218,0.7717117395280899,0.765626320316672,0.8019395171756826,0.8888882773996485,0.9773091697354659,1.091529164725996,0.9495956645595195,0.9481940258104345,0.8460874405538688,0.7992896868870318,0.738762763255768,0.6978597529130808,0.7315256625866863,0.7287131810922789,0.7654022717638345,0.7479964396435408,0.8763571063092801,0.8312858737024762,0.8803324710135728,1.0654366717971042,1.0072187352866484,1.0190932650788362,1.0888574986605233,0.960572251590871,1.0558195203384373,0.9362948698258278,1.0409263306982188,1.1246664851494665,1.3380396157999979,1.0869849102092373,1.0190140980703402,1.0676814158416108,0.9564566084932391,0.8917182106546123,0.8068897186790952,0.7838761850166495,0.7050440825202217,0.7373650079231977,0.6913463961455337,0.7309283604841845,1.1620890744532508,1.033743866775556,0.7516124203735589,0.7524885180549915,0.7208633585915332,0.8121533553478617,0.826476537445103,0.9055546405810849,0.9451624380921273,1.0356938337115058,1.1356317905151916,1.3591945316960827,1.3113870932805483,1.5252732351089295,2.0746844469099153,1.7242356413606605,1.2730279920733902,1.1385162427249842,1.0687234521868973,1.082218949595457,1.0579259434402521,1.0099775468046077,0.9672082668760567,0.9112161877081568,0.9751017160518066,1.030447479515381,1.0167831770736155,1.4018018763790443,0.9737211670367883,1.12352235942032,1.2677480784752593,1.2571484289595238,1.4034918734349933,1.4495782144563463,1.7312056298292804,2.0553872490757223,2.135242845780199,2.116433313466727,1.7649852640023294,1.792781824372675,1.5174028086978057,1.301836678796908,1.3207068887835993,1.0120891599136572,0.9365380311831533,0.7628522747531179,0.8456622399840505,0.6679719686919195,0.6060163842924875,0.606139368245943,0.5400417154003345,0.5100753488800398,0.5290987799873001,0.5439750774965668,0.5315094178312808,0.5375873936273108,0.6148634468723941,0.678342648056911,0.713689544594259,0.7797475388390156,0.9305973073380085,1.0565285570984355,1.0333163645640249,1.0022357665484696,0.7386953208092716,0.6223466394667801,0.6901475799076018,0.7800533007115009,1.2645764854694541,0.9599045510593891,1.0386056512613557,0.8078713343659574,0.7801692772728869,0.7586672009886335,0.8767971457220771,0.8807153225824441,0.848480998116376,0.8710079412623292,1.0826606451136078,0.9909769491884981,0.894382447552225,1.2852947340007133,1.3081156038717316,1.0929271666782856,1.2703719692260453,0.7915719188616881,0.9419316249441733,0.8188173816446335,0.6996055166329846,0.8394173979523758,0.7741080194133605,0.8527144838128062,0.7426130157698269,0.6914334084182733,0.7608646902723315,0.7816902099974163,0.5876942290031305,0.6226214480914777,0.7735345638079931,0.625145911493703,0.590768696385107,0.7510998987838334,0.9501605691590617,0.6985648063968855,0.6796158159333981,0.6168427789079425,0.5403181915166981,0.5404930341493155,0.5645685264100804,0.5617700130864274,0.520978131899728,0.5772053247539451,0.6359233241621567,0.6340754875564291,0.6070227170820075,0.775129833949774,0.9061454608160965,0.6448880130199726,0.8062415946603289,0.9398792054960687,1.0644620026424743,0.9020029270620379,0.7229357110721075,1.3944774874232755,1.2334366827406376,0.9382146845799295,0.8060829510788309,0.6750578639501696,0.7294888698600356,0.917347823995746,0.6276213928747195,0.603871335304535,0.5944687438294555,0.5489888736841967,0.5610179955940388,0.6587333049520444,0.608838837592661,0.5582963190848524,0.6659899246518183,0.6405496927264043,1.1766645622998941,0.8736567103609513,0.6345245237584541,0.8302421887841415,1.1894143103659276,0.637201915972197,0.9149102874001379,0.8889401802061178,2.2907619034753126,2.8646968053027737,3.6756567007251335],[0.631565248005656,0.6722295102192084,0.7200899452541184,0.5470371478116167,0.6866417726153218,0.6593587300710496,0.6828676301374222,0.7294047918992476,0.7786932355630821,0.8033906929777167,0.795210355806182,0.7969225187595994,0.8532861155259098,0.8156716704551249,0.8968987191079736,0.9177451001622159,0.9609898970599874,0.9763739282415358,1.0877342369400067,1.0468841118065422,1.1776748441469873,1.3921270996427575,1.3444231802037039,1.5759568266168318,1.3569537291890261,1.1218172147015275,1.0568272069122429,1.0483829674845626,0.99926157381652,0.9686510969375022,0.9785942867189387,0.9402894145738522,0.9582642691111412,1.0143406964030237,0.9975838061823,1.0124981153762709,0.9938971668209665,1.1170864556460174,1.115018380147322,1.3215162759124055,1.2938354597714476,1.2126847201677933,1.4402424468599353,1.7242977160272899,1.8353553130197087,2.0641512292216166,2.566824578659591,1.9913809610729536,1.8759511044533947,2.059701937290884,2.134763168565536,2.245719965989127,2.857525072631164,1.6800272625144734,1.9471704647460282,1.4863951770412556,1.321055877809899,1.3476055626711916,1.2913215125993782,1.391066432348583,1.2218603163346542,1.134413596660377,1.1264786990594065,1.35365036467279,1.2472135187468103,1.1510499055955916,1.2274311274958625,1.0531163780246213,1.085624078185293,1.0894031075449329,1.1332305222550487,1.5366526138563088,1.1405417881626878,1.2557444618959077,1.0792477392718653,1.4520503355791918,1.0791656589557088,1.0827657306518417,1.0883686509086792,1.117657863976364,0.948852770596255,2.451042881100731,1.981717742647337,1.6128671645810118,1.2734057836495465,1.0824231215578417,1.0714281692195748,1.0657988651147552,1.0683057411686243,1.0546762226267694,1.0445938922080071,1.241809056751121,1.1611358851146532,0.9969980919224172,0.9618329926476215,1.006820811755761,1.0138584735523068,0.9310690641337047,0.8813212012264129,0.8435811438270079,0.9118507902372873,0.9011179432625445,0.987393883903368,0.9162194493509447,1.024276531715798,0.9380747583626629,0.9774406430129737,1.0338312229097564,0.9103947323223814,1.017943905901845,0.8357815279903404,0.913487168015428,0.8009721138534166,0.8828402905869912,0.8487072682062968,0.8857011876211048,0.9549342639229805,1.0391202041606316,1.1065982144816058,0.9813522086719881,0.9741312588281128,0.888034886325929,0.8493576370398589,0.8090461565832178,0.7766135395598763,0.8465157088362061,0.8162627728562959,0.8885782376867534,0.8716826157851362,0.9872601108778128,0.9292899300513985,0.9798704567158486,1.1589385368953802,1.1143360338376784,1.1255171841926173,1.1865605233721435,1.045730609290649,1.1535146220261534,1.0553336717087558,1.1528220070622135,1.2309385583383268,1.4127487568361012,1.1547671301076106,1.1103116894593725,1.1525993494288527,1.0419435158553039,0.9838225004561844,0.9056429725832591,0.8959328100169457,0.8071213924073967,0.8439308974411067,0.7812611982455643,0.8211771609588863,1.1946812446017172,1.0847892510304755,0.841079344791822,0.8465883586533063,0.828424702238219,0.908715204444139,0.9397721485816904,1.0209429586212628,1.044953201832514,1.1390394467842004,1.2266256564347353,1.4323781293946365,1.3977627808870334,1.5909079568941307,2.1342709562524105,1.7718756277909549,1.358583892701297,1.230426035232852,1.1790572336349083,1.1907364997179808,1.16774422968165,1.1202037286619686,1.0775549272502518,1.0131748532200062,1.0768066856078884,1.1353384743148538,1.1242145795225,1.4911842460888667,1.0887200043032237,1.2250399159171828,1.344913958500851,1.338045113886042,1.475183656120789,1.5204791783562723,1.7857615595276575,2.1138120256019035,2.156627355550766,2.133816505051391,1.8289685643054563,1.8203408909624654,1.5709583700892271,1.3625835867712515,1.3489553481978607,1.0697549732435623,0.994180946643523,0.8392226045961069,0.9148621172979501,0.7613464529791785,0.7140600491671343,0.711417803484513,0.6452803285650114,0.6204553157232877,0.6447158193786291,0.6412168503669036,0.6219619605923011,0.6291468049097346,0.6827758026781501,0.7301734161675031,0.7515567092702395,0.8122674856925812,0.9422967947370942,1.064332713659386,1.0859211545240455,1.0050211167525,0.7727607261648038,0.6806282481916939,0.7365731017049325,0.8207323245056992,1.3296368220843073,1.0025572067058197,1.0900642318402392,0.8728428195565137,0.8713648028530632,0.8700092729429043,0.9619786642783901,0.9216661695920435,0.9301806853501133,0.9320313353836396,1.103393724050903,1.0221834947409267,0.9435850637080094,1.3237721701244798,1.319480222847924,1.1227140529786488,1.312850045696314,0.859868743003928,1.006953205279174,0.8966869417078173,0.7881512215564015,0.9139533305454313,0.8702607666052687,0.9495158706151928,0.8318414520551559,0.7751983030384182,0.8736631819878522,0.8804978820149038,0.7000629294943284,0.728735650680041,0.865366136108678,0.7165027887228814,0.6733818473324582,0.8209936356203222,0.9770761243500682,0.7478658578988335,0.7266145838698533,0.6747643063031343,0.6264239530184553,0.6457844803755884,0.658181018812699,0.6424537128267831,0.6184319236679796,0.6698097915427201,0.7149265965127111,0.7178258509505834,0.7013377943690646,0.8200800623751856,0.9283710220208184,0.7100468124072744,0.8484035314694673,0.9438241207558072,1.0437203833315292,0.9134047373014375,0.7812842503448209,1.4075170587103505,1.2753552795894953,0.9603554502613679,0.8429543686585728,0.7401881490452593,0.7897081026713834,0.9761396414692499,0.7054524666234678,0.6717994844000563,0.6901804107384188,0.651096758336568,0.6732520683839746,0.7512228088481318,0.7277407391332822,0.6651845297805404,0.775621677903225,0.7587489631038108,1.2919272704709241,0.9456783456822141,0.7232424347593199,0.9189235376086146,1.2534802679229173,0.7095626555103922,0.9657732373292245,0.9922252477082687,2.491848308654971,3.114672303213363,3.950817685582752],[0.5719556969142978,0.6081338886431077,0.6842915225622752,0.4401078970977369,0.5792299504042622,0.56710718964506,0.5475067915439485,0.5748626239471747,0.6164065256723358,0.614813615654709,0.6060077779457813,0.6261031252586973,0.6435962015002455,0.6097188436231339,0.6774569002117391,0.6756036847146105,0.7118415047606372,0.7081363495529985,0.8210420457254751,0.7538627224912111,0.8764235752891216,1.0678060556166664,1.1123434368498313,1.2307828865392076,1.193835901499695,0.8830208333981031,0.7460415516153024,0.7409209398794395,0.7047782820784497,0.6991297842133005,0.7202271795873945,0.6836370250135021,0.7006118017440222,0.7462846571303872,0.7256079651681427,0.7386406193768922,0.7180388395685158,0.8233319403878692,0.8135170053509118,1.0300663635688223,0.9832952160859899,0.8818062036226519,1.093065116359456,1.4204689893228026,1.5493018260687785,1.7775637518932563,2.3243917023032132,1.721551505523021,1.620127108862174,1.8595646262813674,1.963884222758376,2.004836858749017,2.5607420572094686,1.4225554327862286,1.8435251045084444,1.2924532082931501,1.127683838215786,1.1920595033722905,1.1468120243066013,1.2482150181621856,1.0265401722987866,0.9003088017165293,0.8359077324186327,1.0366853811901353,0.9756008969735414,0.8512477401484952,0.9608794721004597,0.792423963459196,0.8730446193766918,0.9017562581517884,0.984320572508356,1.385401402572172,0.9449615909255925,1.0706914282443043,0.8479026408378285,1.207747502901659,0.806178031610273,0.8087059606927285,0.805448872571523,0.8262725758043752,0.715129653780312,2.2934458442656465,1.8006128261724885,1.4296461162465846,1.0117536063152617,0.7972208586817393,0.7757562413568634,0.8020877158375425,0.7790200007816648,0.7773038801904583,0.7803909785276751,0.9899600749383853,0.9207945812150088,0.74870919184156,0.7232421860809389,0.7945704373210017,0.8415131059853577,0.7141158253219927,0.6659139442450637,0.643944638689241,0.6912133049492403,0.7008277285379763,0.7572264653931942,0.717008468372868,0.8258816438532526,0.7636894308665116,0.8148991967429022,0.8964599961099833,0.7772824243720182,0.8598236450223439,0.6884333852669976,0.728304838259252,0.6156541335701613,0.6582554801545393,0.6253993067503023,0.6533475986597441,0.6977496731809211,0.7483433778847338,0.832101348806842,0.718132370068279,0.7538699764422835,0.7074429544959873,0.6714654317329598,0.6111631434261231,0.5996549846494923,0.6432072366715113,0.6995965176394283,0.7211049440576836,0.7255889451482466,0.8453454834887091,0.819491471421306,0.8613583382948082,1.0245957616126917,0.9540626776182067,0.9663879157452945,1.0264935397568502,0.9331356126540907,0.9984402742232464,0.8175477046155546,0.8809432257271623,0.8904543412833862,1.1201130883445582,0.8346995295393711,0.8040268134403851,0.8557120880105865,0.7548679556511138,0.7176157331526886,0.665526696126641,0.6681589948635642,0.6139160659260784,0.66619937097689,0.6002916634317479,0.6545026876894832,1.0253478578277466,0.9199977802021887,0.6432930215727227,0.6346147287995819,0.6270516508006424,0.6914768659497172,0.7421712875139631,0.7963402574192765,0.7817629916296869,0.8727551236060381,0.9617567028888897,1.220000560826568,1.1793451835936908,1.4365363061049274,2.002579619316765,1.6765791358686095,1.2205124108753798,1.0790468841793228,0.9722978178863962,0.967696506730752,0.9304677701000844,0.866380404004408,0.8436839804087536,0.762801750022092,0.8337484882071734,0.8711573164702617,0.888519430701725,1.2833383431523968,0.8809268732604796,1.0243531828991461,1.1581615128189744,1.1464665713308333,1.2406774801668818,1.2634485936896493,1.5565992003143998,1.9247243986673739,2.012605341255244,2.0072417005760856,1.6269994518609727,1.70660001595758,1.456027481716112,1.2491950616585856,1.2817801454504691,0.9991389868712338,0.9393331489103378,0.7728738565268432,0.8544557593965781,0.700527324929362,0.6369723122273848,0.6310143583925308,0.5897684129429953,0.5689293035719932,0.5728913809498594,0.5987779056522605,0.5967368172516871,0.5742851132661839,0.6427126995932041,0.7244744081936814,0.7385699577639848,0.7784663287017418,0.9340762225046078,1.0701311778773346,1.1226693591102006,0.9857803389160276,0.8112751322038587,0.6930770684771466,0.7448636382178744,0.8325929334532066,1.3073731642732993,1.0210868964329378,1.0593613872685432,0.8488476040532213,0.8331066502299047,0.8012983104921875,0.9103512945946739,0.9028045852709123,0.8881881692268357,0.8792831164586383,1.0631879575040866,0.9844234446069531,0.8919599416214362,1.2719709982217307,1.2932708086566516,1.0879394527374373,1.2588755987973854,0.8032773718062427,0.9554829152056533,0.830582961230135,0.7272285269780401,0.861107725175356,0.7951792112675703,0.8691646524378207,0.7651796131232281,0.7358521661400675,0.7931920925014,0.8055629496412777,0.6181434427317911,0.631343970592342,0.7641728574590916,0.6399858934926196,0.6031556312279178,0.7297622264406933,0.9249949160347585,0.7112087825373185,0.7022775729859223,0.6591687681126001,0.5949180628992624,0.5986409316736052,0.628277391499935,0.6307198997231008,0.5908716353921846,0.6460507301349565,0.6970183959163023,0.6987632847298917,0.667438485083731,0.8039850302282268,0.9215656214539243,0.6947791617633817,0.8263498904400166,0.9530028469025944,1.0514319279715416,0.9269076697147102,0.7983645758399616,1.4589199227408889,1.3520431762756946,1.0145638474559746,0.9070441923311107,0.771889787117962,0.8160560873415907,1.059386656606172,0.7444478360193345,0.691900064195069,0.6589025916506459,0.6019250817053478,0.5942125471898869,0.6823384635326969,0.6168175206262962,0.5696566239249399,0.6515807996322339,0.6204024302647471,1.0910368318507373,0.8315563986141984,0.6178394229562565,0.7781776122529028,1.129613994919845,0.5893904773664643,0.9155280390090313,0.8523063044244237,2.2334245193271203,2.846323573346664,3.6795156767690305],[0.5736727828021485,0.5871320271800814,0.6674608678079273,0.4142732325438292,0.5796078645422915,0.5657712658699585,0.5627782746564212,0.6005884074835928,0.6425091086348724,0.6637223249302548,0.6644328459852515,0.6738639756612915,0.7120244538584516,0.6794433026243989,0.7581867808788876,0.7686452452297232,0.815822575818333,0.8335121392830027,0.9656654675641818,0.9095677539377743,1.0559529562156142,1.280420280501543,1.2754168697727792,1.4447912542321775,1.2943685005045262,1.0161919779298,0.9055589958383627,0.889381444806981,0.8432998925753573,0.8108954305608982,0.8377403523381441,0.7914311279618775,0.8044652515043921,0.8808478248142539,0.8609337002114569,0.8828929183087644,0.8515630391172346,0.980134799973941,0.9703843237893898,1.220793260683618,1.1589219860141784,1.0766378110007397,1.3401486073340516,1.6197673768766818,1.741847107552204,1.9318619589179733,2.537474186746324,1.9796661896071843,1.801904076221789,2.0702663658028335,2.200559261334033,2.082705713764614,2.739039356817636,1.6060879843805442,1.9807591257755943,1.43803488692811,1.3137032156392707,1.3429199705404533,1.2773594131186337,1.432822247250504,1.1866184184791972,1.0744051831743895,1.0346474318609375,1.2617136333430437,1.1826197261926787,1.050734487505608,1.1242784942087505,0.9387557256788492,0.9982652831982401,1.0181529515497851,1.0907644260855331,1.513974112135405,1.0644376741561576,1.1998062727200935,0.9699649380085298,1.3307832754651165,0.9944448021705241,0.9888190183450285,1.0009564425128905,1.0228831843890867,0.8567590695766925,2.3654478961929217,1.832399191998534,1.6337241292910656,1.1670154642717225,0.9503372154105227,0.9473591029064515,0.9324854094211994,0.9486366798183868,0.9381376760082392,0.9240295557150942,1.1118100819331733,1.0351435440936774,0.8651829806415344,0.8228813262988727,0.8710675557003389,0.9131857406570699,0.7959789656279674,0.7293042460280045,0.6891324921195991,0.7685668607083191,0.773122689513723,0.8536061998928889,0.7953016943180994,0.9294057977794694,0.8409031489333755,0.8870382236978236,0.9574443158586916,0.8134102181899899,0.8772801191508851,0.7124823282548415,0.7701576834135236,0.654596979147513,0.7105273427021843,0.6983583828679734,0.7389110404495612,0.8026516617366682,0.869540156427476,0.9722252427561876,0.8457119416927286,0.8634230367878276,0.785610910970921,0.7359024847737385,0.6647202113315077,0.6316663667338545,0.6695611347674139,0.7189868170659074,0.7515251537983373,0.7685925197486488,0.9155873737901965,0.8884495367697055,0.9584401955630558,1.1241820220010492,1.0543666526931308,1.0493787243961445,1.0731143374536056,0.979784387095442,1.0184898394631268,0.843591613848911,0.9467141413861369,0.9826196019630947,1.2087742014817693,0.9796063926518912,0.9264903577892389,0.998207228641243,0.8812727542952986,0.8212129411151529,0.7578798907187494,0.7426190913916099,0.6655242117060127,0.6997491437459573,0.6309362189304499,0.6789754858819774,1.044365767820222,0.9419610827841846,0.6910606177360142,0.6915852599142499,0.6923606298161574,0.7686716994770478,0.8262581847779151,0.8896507836694003,0.9020466233102137,0.9874308425051993,1.1101629740717769,1.3784059318289816,1.2978258681633021,1.5331411791897287,2.042994384389091,1.7072403630422068,1.2219230620533872,1.1432923851248453,1.0372390887374885,1.0724897016012875,1.04306108470006,0.9938722573426304,0.9604226368905273,0.8744779788261532,0.9492797225866915,1.0131897598015005,1.0245156655841987,1.3862095872384808,0.9884851270287601,1.1722424871693446,1.318268913260851,1.2985018194760451,1.4226698213558937,1.422786678047322,1.6964740431614962,1.96082873911519,2.147060321766688,2.1643948650826017,1.7690906894257596,1.8426926529646597,1.562939008594493,1.3694863012428418,1.4147888887963735,1.1049297375996798,1.0538633762487355,0.8461377334247979,0.9112792388570069,0.7614983006122554,0.6788214644506336,0.6619299590525286,0.62003326834744,0.5934826609384437,0.5722549856132644,0.5965844843232514,0.6041812749425449,0.5716466914956007,0.643877297172526,0.7396597604241396,0.7619316374894384,0.792888581448334,0.96897196797862,1.106942376820124,1.1259717664556568,1.0268206592684928,0.8708026706753335,0.7251069522594361,0.7801364733246007,0.8910893451909112,1.2906737829692891,1.098033738713829,1.0731528476590186,0.8876849664176742,0.8798087359161344,0.853896242523729,1.006057929535002,0.9969573982391715,0.9563671010677589,0.9818168394804186,1.1765375733185457,1.070693909298538,0.9954517993736492,1.3814761853991717,1.3842154132674283,1.1914520658426124,1.3226232239452078,0.8816626914140762,1.0527746799952196,0.9220514727486344,0.8017119088346591,0.9272732375756763,0.8448159463795751,0.9190758535779784,0.8204337887415929,0.7895533238425827,0.8123011355656032,0.8258916224161018,0.6280528675357493,0.6177126536036135,0.7409756761937754,0.6206815457862762,0.5929597532946194,0.7051184660046135,0.9202258035832445,0.7128046880708162,0.7123410847312708,0.6765624563343235,0.6099614768318623,0.6208267204339188,0.665380834050636,0.6582871301960532,0.609173810725604,0.6937563956809863,0.7385405225663928,0.722851380558168,0.6991417590487082,0.8740508247479284,0.9800383838599718,0.7410219367686092,0.8885839872224645,1.064041586421375,1.1435948858864666,1.0018092133743708,0.8377574400768175,1.5339459108484348,1.3766244767366382,1.0862785698030344,0.9548966850344975,0.7978624369444445,0.8321540239958265,1.0683085410872515,0.7705865971727739,0.7294150785931247,0.6410059372191079,0.5963416649474182,0.5971203686305598,0.7238628268892149,0.641290296169287,0.5734236385958632,0.6504940658526583,0.5997842443430698,1.0381920747299715,0.8246112853349455,0.5911918741210445,0.7433908460726781,1.1218485674649166,0.5709143606407726,0.9054749191167952,0.8093390569315618,2.12556730494832,2.727111576508911,3.573985274606141],[0.6236219576591011,0.6776530651290701,0.785594582241351,0.5399861743949448,0.7305533065966346,0.7120949492955789,0.7405236479266022,0.7962459357536804,0.818846464198966,0.8648082952950468,0.8707512883605292,0.8735912164010673,0.9386180898568944,0.8813890543453387,0.958052065700949,0.9931403778590859,1.034308775980473,1.050963945268016,1.1587456943389658,1.1402190742766771,1.2665948183888613,1.4902001021560936,1.4364014095383324,1.641026190117285,1.4478757085604843,1.2119503018434425,1.1540293841946099,1.1381632246430937,1.0933115061350485,1.0603582851919091,1.0645399201714336,1.042163206572757,1.0427580272904675,1.1236975164189138,1.1164494894856378,1.1314295382157635,1.1201688230711258,1.230194186593952,1.2331811965062527,1.4847013900634332,1.420857804415722,1.3246282464362154,1.597306877984929,1.8409357596313374,1.9372573226357115,2.1291861927667544,2.6902030878406324,2.172010913183636,2.009206595374542,2.225911680414472,2.3363166039959977,2.2589459056791723,2.9515714366346515,1.8214763015139732,2.109180261883956,1.614694352505426,1.4821315513163578,1.4922224426903818,1.4317851701029918,1.5889360436185334,1.359050518494324,1.279025468462203,1.2548374977750996,1.4572742010186173,1.3748491589377891,1.2768500624006913,1.322584807476673,1.1377968315485238,1.1671150049459846,1.1769866616463516,1.2266500031118681,1.6267547691156772,1.2030905743913314,1.3476644393224635,1.136585375489802,1.4712291178810024,1.2122001915899254,1.2135622993198614,1.244418316273125,1.2712772856307526,1.085714694472786,2.492355927247307,1.9628513068744653,1.8579114920939694,1.428925185897848,1.2282702148884526,1.2136964565324568,1.1878506095891106,1.1950908099414583,1.1777821692340715,1.1504345609530848,1.2959448520049937,1.2319499812127586,1.0852406320718473,1.035487401744511,1.044007897572168,1.0769216267328918,1.0137205730365302,0.9557174201331606,0.9198422320265692,1.0092045796684348,1.0227350221046776,1.1213943374136266,1.04623254630127,1.2044514814051859,1.0922139836339264,1.13631791331941,1.1846985133392403,1.02633450396005,1.1086862723840831,0.9318070333467969,1.0071953848951019,0.8817375957723105,0.9487185169147956,0.9247216203832266,0.9611748918672924,1.031296069475616,1.0945294991120351,1.1595856756882472,1.0565760182528712,1.040463958916666,0.9700879563164096,0.9108841935688392,0.8602962774017999,0.8332484579164934,0.9011483133212104,0.9001323603681498,0.9756131857103284,0.9884802769497596,1.1425246842974262,1.0797737385119548,1.1567797676682017,1.3366088705201735,1.2898304496826691,1.2721586074375346,1.2717851609632613,1.168774999585869,1.2035505253160277,1.0704864701274934,1.2041920673969961,1.2414469777980195,1.4395470843776605,1.226427902199924,1.1850518306111075,1.2623417827851207,1.1424957178638042,1.0753445504072299,1.0092489859291218,0.9955581489613762,0.8973912150351739,0.9312667353604389,0.8288646710537547,0.8943032838362868,1.105267495898512,1.0617089187832869,0.9148373076589931,0.9265646011666594,0.9446353395044299,1.0176784868013997,1.0858670758787003,1.1523121942349166,1.172124880327313,1.255065917685838,1.3745533127821334,1.620327957338834,1.5389349583387781,1.7277529761127601,2.193681399405113,1.84057351530564,1.400591050326547,1.3480377301159587,1.2708837812368845,1.3267714449495398,1.3063417347175785,1.268407063687352,1.2395815531004015,1.1473601248761796,1.226836193709466,1.2916724382363012,1.3038478817716734,1.6252716473267,1.2531110539796126,1.4304907768286437,1.5614367329883527,1.539344944413211,1.6690029485553766,1.674264138540048,1.9005352280416168,2.1228686330259166,2.2673902855696033,2.2823042716642594,1.9705460101936563,1.987318026724562,1.7451142820190586,1.5587050437942707,1.5469726808670092,1.2245477918981316,1.1692846744663263,0.9664891491451503,1.0465834918500976,0.8983227829950029,0.8437214017028561,0.8285098254672368,0.7476680938558363,0.7298299992129496,0.7238640899337595,0.7074278380539125,0.7005619541836962,0.6835104471259115,0.7228271578047328,0.7818832185495137,0.788189264258167,0.8264605114287025,0.9656503193520346,1.0971629409724941,1.1605318404043221,1.0055131486113504,0.8729265388169583,0.7653063926579747,0.8141792356309812,0.9249390629712678,1.3196293784941429,1.134747935453313,1.0979596724016363,0.9599960102525641,0.9952114336955875,0.9831749966120703,1.1182162175523025,1.0739417520890708,1.069890718449126,1.0780505471098616,1.2257950340853394,1.1282964947234744,1.0801782671804214,1.4601069609068629,1.4248108689454066,1.2483300193651163,1.395068099318082,0.9747048136521689,1.1599711703517366,1.0496347412720892,0.9280938855607598,1.070761914085062,1.0060877419370962,1.0958757359987397,0.9776573753574861,0.9106145264279093,0.9965016099043936,1.0078715734928012,0.7818850389766737,0.7757003435110156,0.8802235068224225,0.7558451037656712,0.7155607197126793,0.8104760220037849,0.9898692858813034,0.7782612085724934,0.7719267750832268,0.7380422627494072,0.7086802475028007,0.7485452638065921,0.7754525692471851,0.7435455484185455,0.7038621830956794,0.7955312121182303,0.818008954754613,0.7956049938093894,0.7991867833395819,0.9432488826663786,1.013079621012059,0.7971174881648603,0.9487717163248256,1.0772112304672439,1.136696606402193,1.0131212984511282,0.8716427399389496,1.5443107137408607,1.4022160263605907,1.086387577801729,0.9618930343710939,0.8360204364280746,0.8695586497413552,1.1031776069961203,0.8233671584841072,0.7734524728388034,0.7388009297580944,0.6995260370989259,0.7230342103056168,0.8682894239905703,0.819495936084852,0.7410132371666499,0.839650343820715,0.7947517748406153,1.2502193598493376,0.9828596591692916,0.7476630068386494,0.9141586250129647,1.2598043323022954,0.7144230937089561,1.0059706098904098,0.980580608158525,2.3935319591057613,3.0408250960199767,3.912344933564052],[0.8599276948142164,0.9014502954169549,1.041777599805474,0.7979549388991544,0.9474674434188711,0.921681564643549,0.9028174816562289,0.9342916613864175,0.9284275771114547,0.9272517181213048,0.912853113607999,0.9119511319633822,0.9404948161985434,0.8937474285705456,0.9367150949722193,0.9397948568373631,0.9556054082124946,0.9161234999221517,0.9711191988820385,0.9425639211221852,1.0174957152299666,1.2425507590295781,1.2126962971014392,1.3641727848817733,1.2822594547918962,1.0003651777529319,0.963319557787327,0.9829734458530519,0.964816377946058,0.9724795780339753,0.953225847786296,0.9681861991092863,0.9584131613842289,0.9954659393720849,0.9899547708305992,0.9863081149231783,1.0152405680437069,1.0694933866854792,1.0853612780494646,1.3373813109650108,1.2479920943267595,1.104008526903844,1.3483981374988885,1.6381593040140197,1.733003318360833,1.971487394779561,2.5228027233282484,1.9598555043341381,1.869006123593738,2.0987221500070468,2.201226467726893,2.1506042070185347,2.810968418546874,1.6902262032896085,2.0421871141458645,1.4856311828272653,1.313275604220786,1.3688750406755743,1.3026149259162554,1.411673269369352,1.1566263560862653,1.0471299336584787,1.017668288927258,1.1668068760463972,1.116295549515577,1.0346131198215058,1.0832558637693699,0.9474947170791138,1.023672128898025,1.0816171823101064,1.1512984409527152,1.5638103427832601,1.0966500926730904,1.202410576422686,0.9888621394411597,1.2545334130167107,1.0056331294466314,1.0155753777431402,1.0456435933394441,1.0681423892876403,0.9479720654369687,2.396983713007512,1.879007879241793,1.7693068982430533,1.3300388489684098,1.1142145683507614,1.0451124413717554,1.0615879764523957,1.0170984506846346,1.0107076559863333,0.9870844997480196,1.122860530135661,1.0881537144943791,0.9781081653445914,0.9633655042562969,0.9951598040507055,1.0718523716185822,0.998159140721667,0.9664444457394605,0.9682863682205833,0.9973183024306764,1.053476537016282,1.1024833114072243,1.0926963544575472,1.2375482126694612,1.1707874802879872,1.2279779943995919,1.2866740651677897,1.1629371519955,1.204198192901677,1.0734320868999092,1.0987707064705372,0.9911958065098044,1.013547425436259,0.9381101035826168,0.9557799420176439,0.9463401741242901,0.9706857393812272,0.982529681593116,0.9298970124343734,0.957989740033684,0.9614484025052821,0.9316156623995897,0.9111809688648346,0.931239148730164,1.0109539752837369,1.0462336554314278,1.1154710177937037,1.1351212831497435,1.2316601159161458,1.2056881495087435,1.2608789090493513,1.4070669357571375,1.345660605970846,1.3394367451783695,1.316455166087348,1.2737781415911549,1.2502836153451997,1.0973289594275657,1.1711551926014858,1.1232578416583412,1.2854338820307927,1.0440513894375811,1.0709585517012168,1.1350056047584753,1.0402599695222434,1.0128432631911528,0.9951263313718781,1.0241851639286967,0.9720639393274162,1.0295820005647136,0.9396207893842328,0.9988030873711553,1.1745248366710632,1.1484915605192774,0.9748935116252854,0.9655958359854392,1.0044560229494064,1.025386185126417,1.1154204962289596,1.1598884980395108,1.103711625115327,1.194061344944259,1.2907571115983274,1.5639802149636433,1.5208430064656138,1.7455547657140948,2.241796994118699,1.9012870174675374,1.4685685621160487,1.4113852373350293,1.3009479360313438,1.325200310253168,1.287719554342825,1.2298898134354586,1.2204465877870592,1.1000236091589155,1.1691349097006836,1.221364599196214,1.2632063585431483,1.5877244387900984,1.2698078831139314,1.4431917499731957,1.5669110814831744,1.5310233480248114,1.5905827405540496,1.5738466885817408,1.8036227298825886,2.0899014944263095,2.206929086317469,2.2279525476283366,1.9471007663286204,1.9633569130288766,1.7528954704381465,1.5911979459712535,1.5906516873668228,1.3154944684999335,1.2867380908640802,1.1428095513324499,1.2099799331712113,1.1060251867648272,1.062783286242512,1.045169128663956,1.004774181210579,0.9958986445941403,0.9943147439634024,0.9784535259322236,0.9652106803508171,0.9589312207503813,0.9747499111172754,1.0121031951927106,1.0051009845740488,1.0286122578703127,1.125050109511929,1.263423654693747,1.3635105635962577,1.1626588261689956,1.0667352523922764,1.0111469166437759,1.0405586644855498,1.142233586458551,1.5172383203373236,1.347406013995939,1.287506913198093,1.1475757202303731,1.1929692923690927,1.1771247582382753,1.2911977149464733,1.2216380721987465,1.2401566686012486,1.2497575529652616,1.3530238537135921,1.2554090882998061,1.2367934040506916,1.6072863681253886,1.5141525242761469,1.366861748746343,1.518963413302737,1.1549804463140796,1.294928278186819,1.2146840903756984,1.1314728520141677,1.248064757026931,1.2098482681707192,1.268271365533845,1.18540742582174,1.1468759337730923,1.2299375852928356,1.2281918897681081,1.0355719946821198,1.0379486211484097,1.1097654858095338,1.0140294566622459,0.983942169799387,1.0410645617975787,1.1886517354789525,1.003931946516994,1.009623282952797,0.9927716930490499,0.9778420002860313,1.0181881969255135,1.0429128605053082,1.004496434751128,0.976920104337494,1.0481210496938478,1.061903052804823,1.0369337018511744,1.0448125464144602,1.1476149312085362,1.1813416056017152,1.0194312217692103,1.1401592592919019,1.2186380885709953,1.262963779331175,1.1791046777304555,1.0899418444303577,1.642905784035774,1.5488192389577597,1.2591556163265396,1.1465263449304033,1.069953146046417,1.0924801344636839,1.3283217568022325,1.0658037321986273,1.005564696718828,0.9837159327128656,0.9564561981955936,0.9679399264258984,1.0664620171310666,1.0193933352632691,0.9800215722421196,1.0298582980031614,1.0022257709761253,1.3628855503411679,1.1351409441549196,0.9764837131740387,1.1085695451012447,1.3755834220993135,0.9307891628282059,1.189958330996212,1.1706543791134274,2.501957054608894,3.178461926293607,4.1030485499830744],[0.6759111434967802,0.7067762121210339,0.8230506212075224,0.5403644771813703,0.7471229050549296,0.7131622853663093,0.6997340999787337,0.735356103245479,0.7248757104821553,0.7276414753577097,0.7170166198552637,0.739424643553867,0.7640064465446255,0.7137080330856698,0.7757669386662569,0.7737460768319508,0.797231501999354,0.7828661503698702,0.8686191038173678,0.8265005197693654,0.929865111345031,1.101318111691488,1.1744286483455646,1.261152137485926,1.2425895532496438,0.9342618175711742,0.8039982958060177,0.8085760912317526,0.7908894428045777,0.7866934190224271,0.808836930745276,0.7917266350388095,0.7939712027339478,0.8425692512870886,0.8312305828984949,0.8320219682864669,0.8476043844235867,0.8960429456206003,0.8962747531892125,1.1357541746076802,1.0221820539167443,0.9192350629930967,1.1468960053182482,1.4265389971950735,1.5339896681298977,1.72299577989111,2.361333802272855,1.8192952216060907,1.6672767013810934,1.9823193642498775,2.1335321272794157,1.9401885632728895,2.568019672073371,1.5332792690955943,1.990478793155378,1.394809703241218,1.291964276944329,1.3749366555384852,1.2818907178815577,1.4074477972087125,1.13623532654726,0.9969907606871078,0.9238589554265704,1.084374331819792,1.0409531999956363,0.9290809268826873,1.0015959018811105,0.8606854186374879,0.9568556915927847,0.9935455616199087,1.0819856685067597,1.5061649884832025,1.0185822391089832,1.1475109969878226,0.9100260046140423,1.1900710754216897,0.91988010462369,0.9163204249950185,0.938551883480096,0.9405780576390759,0.8585958807665794,2.2588837114086093,1.7205474043990643,1.6718386214308416,1.1391971977978257,0.9344436181450975,0.8724315441671718,0.919100915088562,0.8806499046018338,0.8833178408404334,0.8705935001542974,1.032936948238551,0.9751195586731212,0.8349580027413173,0.8082188128675885,0.8546773687228932,0.9216508550633582,0.8222307138976306,0.7765345442588857,0.7670131238223752,0.8213469361707315,0.8794311825221645,0.9102113156050116,0.907468042456475,1.050323756357495,0.9794604035088745,1.0473497733682875,1.1071385616372773,0.9787598500858671,1.0011198422858252,0.8691629879309429,0.8800368068897247,0.7675063459621321,0.7696408196836161,0.7522757024947302,0.7737108566166929,0.774786722072885,0.8130945150355309,0.9065537673738965,0.8035809866502961,0.8402598337103447,0.8273594035400872,0.7912589253380286,0.7105560001379115,0.7043807309185445,0.757395307560526,0.8660298992246143,0.8915093214999922,0.9294488818755561,1.053504727762789,1.0479447049884423,1.11992427818687,1.2478876775551457,1.1751232781715184,1.1543330422619678,1.1264911792842158,1.1217192614696105,1.0478672134899365,0.8296887560065763,0.8978717859163403,0.8538422108194078,1.0427615079371206,0.849130958632983,0.8382207928762955,0.9098796050938407,0.8313232941507576,0.8011257644230261,0.7912102018358086,0.8152865106938935,0.7738772491023699,0.8218229865688835,0.7428001315814138,0.8056802944947273,1.0343103232503628,0.9663658854674212,0.7723404160235967,0.7682652984438303,0.8075556319383853,0.8413186901534385,0.9322867514763258,0.9528071454341616,0.8992322799538004,0.9563257008591535,1.0753630117921953,1.372667605270158,1.259793701883678,1.556024958055847,2.035451042382856,1.738034243576607,1.2355371464949605,1.2060488798981104,1.0569341599046196,1.1017321726612175,1.0715194087559154,1.015850311589529,1.011429235901057,0.8960813827912008,0.9760454880063383,1.0165596447899377,1.065976293399699,1.384630930441235,1.0846596157109025,1.2644589673833286,1.392619951651462,1.3535886506206147,1.4113780921267751,1.3559214953431706,1.6355562224538374,1.8717212653207183,2.12048297965809,2.17775095062097,1.7737405244502549,1.880701610679759,1.6370805663619281,1.4766570936641261,1.5352851557275224,1.234155854061026,1.207642208357177,1.0290066568192706,1.0893293738753196,0.9755665993787834,0.9024965838798581,0.8776357549695846,0.845313618910558,0.8319577962848855,0.7950566792641142,0.8127791256632041,0.818830821978423,0.7753981413713443,0.8103877024137279,0.8946659355260413,0.8906561558998148,0.9017961099111118,1.0509909043781314,1.1902977325344681,1.2833102547818387,1.072673831772866,1.0169690653882884,0.9081897084719647,0.9327023277201594,1.0473969154412954,1.3844729595731788,1.2605577605417069,1.204844306373499,1.0801117343335567,1.0968889683965535,1.0530804924433632,1.203754550564046,1.1818203073667524,1.1526341910879838,1.1674347430126646,1.3177129228838715,1.219409821101164,1.168318874440161,1.5156135519363454,1.4966552961164443,1.3351506920512142,1.4309084947554411,1.0622120364413268,1.2208988302242703,1.1024680532958795,1.002616525040783,1.1274376624944231,1.0675880109292553,1.1301526390422765,1.0354012359067475,1.015932934121646,1.0386888721870378,1.041879246591143,0.8427123204205375,0.8159160309275372,0.8938758381227677,0.8179507989715208,0.7965415295607917,0.840571362857985,1.0200738374870344,0.8599155932767618,0.87191073970597,0.8559744082844233,0.8254426202376789,0.8513086829451356,0.8946928244437296,0.8785267510059234,0.8315009745065647,0.9187826733403558,0.9486739195081123,0.9243978133478566,0.9196202135011216,1.0650253143083441,1.1359792957568013,0.9317434564324816,1.0534897789540127,1.1887428797655981,1.234536839836386,1.1280466466529042,1.0058040285324512,1.6469104571096251,1.534900486877386,1.2312249834568882,1.1176521364718075,0.9851716172562877,1.0088081828120825,1.2686930293749528,0.9966298115669563,0.9323661109127944,0.8606482943889423,0.7982171353845414,0.7832320385254913,0.9203830700459856,0.8292186790446697,0.7814997180799245,0.8303740471959333,0.7861904151616989,1.0956289304994569,0.9424828137731298,0.7625534176426555,0.8475674390821847,1.16208970512899,0.6891396314155982,1.0102960827365626,0.9329291379178307,2.126753272164645,2.758461366405955,3.67358783246975],[0.6188334749617288,0.6417056964637309,0.7615387286942469,0.4717119852666148,0.6917089039474393,0.6666568226605933,0.6656398521194763,0.7080871982165463,0.7012869773327772,0.7260021463995636,0.7257148732079597,0.7362732343209848,0.7803890699192909,0.733428732921074,0.8092990076042923,0.8118759859834991,0.8493441077237919,0.850287951489307,0.964776581931977,0.9222352618172969,1.0441171972042782,1.234642520270764,1.2788938826076088,1.3990914460615949,1.308870916927119,1.028965923462797,0.9019513994042219,0.8895850062990288,0.861610640813741,0.8405830337798694,0.8664367742019743,0.8392850666795562,0.8426266469612236,0.9191656343984776,0.9026606276706299,0.9075694321111518,0.9063985493717395,0.9816369912045528,0.9845504256083509,1.2299254072713046,1.1193608941075037,1.0347997679757297,1.2916309849986671,1.5337490397441123,1.6278688024517174,1.781940877045227,2.439012009101729,1.9460608219162194,1.7354362137666481,2.0466538312367604,2.2104344995434024,1.9617393040956803,2.630100935328234,1.616648245464719,2.0330789392940924,1.4667463933794085,1.3976869689478955,1.445352949958657,1.3539834464974982,1.5185367451308152,1.249633717261538,1.1112505139660884,1.038767920797427,1.2405221920710465,1.1634826268771963,1.0529752441307962,1.123714295005922,0.955628854390932,1.0247931615165131,1.0407800238262574,1.1356742184173365,1.5822629544108482,1.0858167752033763,1.228657425450039,0.9830090492162544,1.2821887958247684,1.01763406971292,1.0115182553082482,1.0366456220353073,1.0404227005188835,0.9445184067819264,2.2535594803000567,1.708326344379863,1.7416832853127797,1.2117860308748507,1.0077729618402878,0.966440511974119,0.9957562122193379,0.9717971139151323,0.962399268930675,0.9531758538649783,1.1151794286177241,1.0451090973045714,0.899472601434893,0.8585368125966735,0.8925430659453865,0.9589051573724902,0.8524828035294224,0.7966704579288542,0.7703785803438185,0.8419574599726182,0.889096691207249,0.9430558393286808,0.9292592002517793,1.0777390723203157,0.9909584334775311,1.0660236183789111,1.1222846990091835,0.977999401991596,0.9921881206681682,0.8531438284598554,0.8740719445653826,0.7567376442673075,0.7744872011388615,0.7620821270110769,0.7924897307811034,0.8282708349428631,0.8814882271852831,0.9907042606471259,0.8719758873559148,0.891760023942732,0.8545737563068976,0.8023939474609958,0.7187251356434283,0.6983968777491061,0.7463064983188508,0.8353091309534404,0.8775304431705652,0.9243495337195302,1.0618759243158806,1.0579461059087616,1.1446026123542508,1.2729319147450748,1.205490214458581,1.1717301845586299,1.1248458973351032,1.1062958902794608,1.0361869102563568,0.8346283665933357,0.929444366517858,0.9209749735695941,1.0992685092401713,0.9288638298773911,0.907271201817517,0.987924207309049,0.8952269568383286,0.8491455425458367,0.8210263432408513,0.832405451539987,0.7719434723829149,0.8123385561784271,0.7262811495408366,0.797266853091889,1.0240763504981394,0.957391446975261,0.7702463003929548,0.7713814343313594,0.8117029705804646,0.8608853344820759,0.9449521369727162,0.9791460970684359,0.9507710880163646,1.0095020120957914,1.144918727678401,1.4361060799951668,1.3033178001476309,1.5769270248905354,2.006060384592783,1.7088204831999803,1.2218154484816162,1.2137355008946216,1.0716138452489474,1.1376044687189468,1.1134882315347232,1.0655692192090636,1.0522819834832318,0.9388591179369226,1.0255804951182943,1.078000672612311,1.1252450809150276,1.4247342279683626,1.11466864328124,1.3196752662842892,1.464165577642837,1.4159996894301903,1.4957143444876522,1.4277641857797396,1.689981479415014,1.8703487697182528,2.1555626563703276,2.248732487018844,1.8300981340526756,1.921529164286465,1.6554302187796264,1.501227738259057,1.5723833909369807,1.2585034204012755,1.2391692868773494,1.046801078388887,1.0939096160451005,0.9826034156300376,0.8957690718029164,0.8627011267376712,0.8338984275444927,0.8172835281970235,0.757438124521238,0.7734021250209088,0.7940110234430027,0.7395378840007965,0.7692276442781362,0.8601619319095649,0.8635959676773461,0.8751538732287476,1.0348786915013741,1.1827296750685385,1.2617832124484842,1.08881362842592,1.0246189010008142,0.8974326105355608,0.9293144622877247,1.0671278464533727,1.3685288578814971,1.2705492702779198,1.2202849774339428,1.098172307109492,1.1133258855398063,1.068782302755578,1.2419366116816182,1.2282329243340757,1.1666898586388526,1.204177463767965,1.3790085852991272,1.261074231492778,1.2087583213142798,1.584237595314565,1.5705511056775523,1.3792679583486143,1.4628315879219513,1.09176427432198,1.2545830606599897,1.1382795543760347,1.0251249846446,1.151576914664809,1.081499590587341,1.1401331939930244,1.048995154413355,1.0236042993103514,1.0250019978282618,1.0306938024923147,0.8197777826457646,0.7835679544583628,0.8599836661099498,0.7800567560418064,0.7635895036558031,0.8080287183408884,0.9978218457061295,0.8297194033578992,0.8471711676035176,0.8360314136813466,0.8103572171039106,0.8350556801429597,0.8984920310535033,0.8697496840313013,0.814282139212554,0.9248039994693283,0.957011479651862,0.9199952225217387,0.9203292970805854,1.0938553739746324,1.152675854581922,0.9347591234035043,1.0828631054134383,1.2672150105656683,1.3123415445271571,1.1791682824307081,1.011074875244111,1.6845791507983734,1.501555062768706,1.2410754103701584,1.1121826964576473,0.9642688475152501,0.975219503613658,1.2324321519922805,0.97191237429864,0.923144315331549,0.836968098668856,0.7832528130440507,0.7582133984920545,0.9149480501501289,0.8053582312516956,0.746179177691419,0.8040213624631811,0.7490093983026103,1.0604276350592454,0.9111661269197978,0.7119062617070125,0.8001333517809048,1.1379279973841139,0.6320121422125443,0.9728358625362971,0.8742357096701653,2.0456863353810544,2.6627643934892458,3.579362180382391],[0.6093664997719552,0.6104748506851764,0.7034111663083678,0.41993995816225677,0.6118056950808548,0.5964913634555213,0.5719866352904309,0.6080463309616112,0.5979560272591572,0.6059678421185066,0.6026081178932676,0.6168158772650504,0.6449603853552206,0.6057846443933466,0.6797422693503367,0.6805373537450757,0.716260131498904,0.7163655411767537,0.8307989460477206,0.7862903022051138,0.9138715201136627,1.0707651738263695,1.190085319941882,1.2665169780655214,1.2419589644647173,0.9211845704752871,0.7469479710706244,0.7328274156861992,0.7029569527441274,0.6846368783368783,0.7359525756937544,0.6839844009306337,0.6924547586999472,0.7608608071985792,0.7370577914742193,0.7512098998940692,0.7383178114274112,0.7969374162930665,0.8029717684509715,1.031208388815734,0.9255593288361577,0.8508511815752143,1.0791285650002698,1.3466051862717245,1.4718491763775001,1.618461201049189,2.282194068964934,1.7581556130335978,1.562445449879632,1.9042778278257726,2.0762297099442044,1.8258621670526414,2.431909440487072,1.4582204770657037,1.9547114089200095,1.3646888570224438,1.3145680641858184,1.3878570550404166,1.2809687927488598,1.4179368908036538,1.152335116445841,0.995373102069434,0.8927476970105518,1.0856197582101224,1.0260861179617902,0.906679160572193,0.998833115694036,0.8244213583215465,0.9138559807018806,0.9364507470595494,1.0339956859038804,1.453241359759563,0.9650163191379744,1.1222449409423039,0.8626695702347398,1.1804028356067537,0.8778950718123968,0.8660273611226293,0.8806109175248453,0.8785075200026433,0.8052043616916582,2.1895488273862007,1.6451526947067485,1.5900137229692781,1.02060146599963,0.8202390000678988,0.7847210122713597,0.8343604566625193,0.8100566000064616,0.8100402390004815,0.8104857805511276,1.0009591770559634,0.9267100156206454,0.760919861630903,0.7221783801024427,0.7738980039941588,0.8411700048980738,0.7242779201234819,0.6752836872934675,0.6575346707209443,0.7061160330450325,0.7551396881095276,0.7725439560036589,0.7675893731204488,0.887076490758856,0.8292355984723291,0.9170470434227237,0.9854113076025716,0.8442370600594042,0.8482255398786807,0.7317865353406038,0.7321746172243959,0.6381033434149892,0.6452510470727039,0.6403280458533386,0.6749286377359135,0.7004626786457595,0.7536477304100887,0.8720427268606791,0.7461014959829064,0.7824681860914927,0.7330440142188046,0.6955832109069365,0.6120194606341236,0.5891828410361429,0.623797894380496,0.7403305933808968,0.750995095058829,0.7963585106247708,0.9037175870350513,0.9245624512668666,0.996224754204937,1.1024814188822085,1.021356099497671,0.9999393959488514,0.9780024791579837,0.96603725442377,0.9105907456248357,0.6898466348293438,0.7607108322664282,0.7603023678101648,0.9601647577822375,0.7758647692756825,0.7377644839262375,0.8019926938113519,0.7256469190867446,0.6916850810564875,0.6646310991191685,0.6766759531926765,0.6526769052964569,0.6924439586943374,0.6288836348143625,0.7090739380289883,0.9859241477299888,0.8970692637883724,0.6600840725564225,0.6480351360191168,0.6769230019738245,0.7057403449249608,0.7911121047104717,0.7993573745355746,0.7727798725120429,0.8208792270181641,0.9430834802119425,1.2506592448411011,1.1162405693235078,1.4100934734196076,1.862647382054034,1.5831014458985688,1.0665215698486608,1.0402660416091083,0.8945541503835277,0.9422815619961186,0.9141207035201014,0.8669388596736857,0.8606884229238759,0.7647425887865064,0.8456573571637623,0.8844725716557017,0.9239344511551749,1.255211455017957,0.9262225591883403,1.1088401664548793,1.2453667779016422,1.2012455197413032,1.2780180603144369,1.2326879345368993,1.5486893756508422,1.7519955351822887,2.054995806168015,2.11368697956297,1.6601873238582947,1.782956199187109,1.5030308135068522,1.3510292780272157,1.4686538524020178,1.1587311642713227,1.1349938229382177,0.9330482113625335,0.9957648692476129,0.8739147333737121,0.7880475595174111,0.76406527918132,0.7429778918381658,0.7283162744120285,0.6711430702779773,0.6978279179012692,0.7342507080228632,0.6756067434889396,0.723911435570882,0.8219745554821127,0.8348999707386536,0.8498004875614134,1.0232254613522178,1.1822134106217599,1.2344682142462047,1.0853807855037696,0.9971762613789658,0.8555064339606295,0.8962199859077665,1.0364277110154656,1.3355784206449202,1.209784648730073,1.1539340711695238,1.0266389375305807,1.0153340474754884,0.9758710533446535,1.1159585027666927,1.1306361353719232,1.0776372238701966,1.0942961668535414,1.2777303481603224,1.166964783233003,1.1050008055793472,1.4929737897593636,1.4833603494472682,1.2812478749381395,1.3672627287703198,0.9881009024496661,1.1521017631049622,1.0308792523574097,0.9334399695158124,1.041126278725322,0.9619383913627947,1.0163203105539085,0.9349388391173288,0.9335598149332297,0.9001454316895969,0.9184221059756994,0.7266651655217425,0.6953699527282133,0.7716690625407967,0.7057915342062537,0.7030890546988107,0.7535983620963844,0.9572944853521542,0.7874343593229561,0.8048952837587648,0.7820710043944005,0.7385090418413726,0.7463820709201229,0.7949158114964677,0.7960151984461424,0.7393776712428787,0.832506693555177,0.8825817334095091,0.8517891905944812,0.8302795934869157,1.0172291555554491,1.0948032711681184,0.8580705740985415,1.0073557844289556,1.1996757032340217,1.2561003397920232,1.1161427849333676,0.9476827311034357,1.6330628200885835,1.4439154468209934,1.2134032778959065,1.0791572571046177,0.9156016323402819,0.9356812297119422,1.19047693639484,0.9185212986574298,0.8607967359468354,0.7484235148815369,0.6969199378023393,0.6816316338585868,0.8157657240135356,0.700359490364035,0.668737222305912,0.7098389564317926,0.6546077436746185,0.9565674206075946,0.8460860543322065,0.6364558738366041,0.7240308889251164,1.094082661358722,0.5766334486455347,0.9493230469716173,0.8132699956445643,1.8510184548775568,2.431214122054395,3.3601734093364892],[0.582456434463205,0.56042181774554,0.6403619096171995,0.3751087255856319,0.5282017278458431,0.5432495710023774,0.5108138152486764,0.5354034488191273,0.5695041390184143,0.5753115628186345,0.5771808540887591,0.5883027694946253,0.6086129331029874,0.587610688972476,0.6619990340205404,0.6572301741685006,0.703362461609989,0.7233461870112744,0.8795231639996026,0.7946032935805913,0.9523481605165539,1.158156501116017,1.2123720405647544,1.3578253453862725,1.2385885275394326,0.935047802299508,0.7690489262801892,0.7519166627073803,0.7094537319930073,0.6708097595207754,0.7289386307309813,0.6594821871944226,0.6779259348081103,0.7568703406535514,0.7247572043019626,0.7467205061159985,0.7168344739907726,0.8204883395037105,0.8100584160999836,1.0513314693457874,0.9753283524529184,0.9124373341041468,1.1766175986027965,1.4497563238889273,1.5801133134758927,1.7283258146203158,2.3869545471904776,1.8505767807266047,1.6298421022762923,1.948893443177792,2.1185420282628558,1.8795162879851355,2.5295003375744862,1.4782219672301151,1.9358637429687544,1.3578740879016777,1.283146542449892,1.3230291450614002,1.2346792060763008,1.4042142193752432,1.1346924349518044,0.9909931867989535,0.9174331550239869,1.1623518044903731,1.0689538745780867,0.93396323242232,1.0392365198533386,0.8455677386582837,0.9409125118937148,0.9465028090938018,1.0478956664319026,1.4815662973989607,1.0112967540930735,1.152870834814735,0.8885599173927984,1.2554324380078534,0.8970501895915265,0.8815969840124857,0.887012513014042,0.8879317597912304,0.7604746345955826,2.2374804987940293,1.694419762811209,1.545410232113477,1.010560451044323,0.7997232291866092,0.7890888000565651,0.8007120991928144,0.8153571375816263,0.805681524639939,0.8143434141483423,1.0280422046831812,0.9400292209617345,0.7596496607199328,0.7185142836260434,0.7715651466286665,0.8219754815469773,0.6981299394591445,0.6294754562616698,0.610476283890079,0.6536726192304335,0.679983271120538,0.713685117667293,0.6925538684912423,0.8016258320590595,0.7478737151745793,0.8155516716530863,0.8987274959135677,0.7565801553792653,0.7811325772151345,0.6532441499544506,0.6580009637928219,0.5687701663419953,0.5949110584648778,0.6064806259245182,0.6480037022665862,0.6952875682225751,0.759592353958723,0.8949352692015926,0.7581808038891101,0.7966549498295676,0.7208221680677578,0.6761441018711565,0.5867628127055068,0.5471912620166767,0.5761275003008819,0.6826928332379776,0.6707521499646087,0.7127410234175341,0.8178264945172644,0.8498673925839325,0.9058356134406077,1.0177916942061898,0.9399030951671417,0.927102796336491,0.9288708150434616,0.8913295991026529,0.8868267647241548,0.687595609328892,0.764439366413368,0.7888964853516164,1.0231875627168276,0.8093329829509889,0.753326855584763,0.8209861537210739,0.7198032462370397,0.6709544239376215,0.6177410791124138,0.6166586048553806,0.5767607903380892,0.6214291038471725,0.5692148097214518,0.6322225511356748,1.0257575205882472,0.8886140057982581,0.5937505744247784,0.5860212027292855,0.5981974999474893,0.648563628156351,0.71965177376793,0.746477391786783,0.7475632776890099,0.8117278894374838,0.9359495663653523,1.2274188783786517,1.1108024489496138,1.3823914982879195,1.856054386418969,1.5556140235727836,1.0470430743335424,0.992131606087082,0.8604739870106826,0.9019968802590606,0.8722026554731243,0.8276931305277854,0.8051178389712199,0.7240704984117502,0.8033856084658272,0.8511939054041118,0.870098623188212,1.2269981896349198,0.8531927292908159,1.0375971314025505,1.1855666344586815,1.1498470027312266,1.2596680173265933,1.2437244943240238,1.5727622574312878,1.800182022466594,2.066714185072636,2.1072764989457466,1.6449166750965514,1.753167139886996,1.4478631419920427,1.2781426088583356,1.4046375531146105,1.100978212854969,1.067473164921252,0.8749900105231728,0.9383400530441255,0.7945078236607941,0.6993232005777867,0.676197477024641,0.6615212445194857,0.6411986837989568,0.5734489165292357,0.613758686174964,0.6563014738976265,0.6060985740498231,0.6671572104606829,0.7664237865953663,0.7988365980376521,0.8341317571944596,1.0179249725330217,1.146201638111717,1.1549539025699576,1.1105618532048451,0.9584517738878676,0.8030252872561638,0.8649559583210911,1.0158584589130273,1.3539012733143576,1.1581780263437893,1.1440180131256055,0.9697656625357536,0.9277809781665667,0.886084307641309,1.0383327808099385,1.069177071165713,0.9849255681389756,1.0365313525965683,1.264018296592743,1.147765784668171,1.0576933581471075,1.4237329983610976,1.451695063499862,1.2502365352942049,1.3165992288892137,0.9360077960895969,1.0897060381313173,0.9725166268257581,0.8557289321758618,0.9645388586097681,0.8606194634695742,0.9305909660090163,0.8494210009502462,0.8390252124566889,0.7852324641629833,0.8127223364128,0.6219646124939218,0.5959809649588936,0.6816620716478556,0.6199185923177507,0.633654275474421,0.7077601888945368,0.9407577594672611,0.7597273825710233,0.7758799336424241,0.740246899125466,0.6753425246654972,0.656326326558859,0.7241510753084377,0.7342633604350061,0.6669378222529713,0.7528683006073315,0.8196125313251186,0.7949879458118835,0.7686102021569651,0.9642378163069636,1.067218942429687,0.8207077269150085,0.9685050530876268,1.2070802445315545,1.2878965231898076,1.11418805329958,0.8921650843267932,1.5826053649754863,1.3365985252567383,1.1539304846230718,1.0005075660226137,0.8355792448648335,0.8545638059493588,1.067730957628492,0.8029229913771846,0.7739360846239137,0.6483376552450845,0.6372207652308671,0.6181587928758097,0.7431088250813193,0.6117086237735939,0.5897073916127881,0.6380795392527338,0.5716101772610013,0.9267802803407754,0.7975551543503115,0.5683816751076182,0.6706727932637243,1.055290639034904,0.5316369397987533,0.9306877539449007,0.7752348646848036,1.803336902710143,2.37159487098719,3.2940781258583876],[0.5836939124487753,0.5598870388323127,0.6186931500130559,0.36374046160885076,0.4794142296711077,0.48896272989752676,0.4475715258598052,0.47172590587757923,0.5265390900226048,0.5334649291942387,0.5338055236720491,0.5430454317140818,0.5559276329474114,0.5512450801123763,0.63109314753972,0.6195254307343433,0.6685910936168914,0.7002233209317363,0.8702185158770077,0.7793143698961378,0.9487003847896484,1.1663228187450385,1.1906351472598755,1.3616969994211756,1.2236563934770037,0.9286874795876658,0.7698258336330616,0.7430277319407043,0.6910235700596312,0.6407707517497526,0.6973503802918251,0.6251433420281736,0.6445900277488597,0.7245597794830806,0.6867559166362798,0.7192585091686694,0.6721134996512221,0.8024767703500949,0.7901008021126027,1.0197674885302874,0.9801272519616557,0.9192348455122297,1.169365779222288,1.4787593367272154,1.6226061251393142,1.7928071397050376,2.414003363609694,1.836681931204332,1.6393983788060436,1.9363958723565828,2.0815475863707533,1.923032086313768,2.550570650519151,1.4589111999245001,1.9128046350886394,1.3440368963915885,1.2183318843099438,1.2713043852076953,1.206402670039509,1.3392836955230167,1.0753055670582332,0.9497139405347566,0.8847908902163444,1.1432529523786343,1.0480093527055272,0.9111718998141094,1.024755485732505,0.8194625393929406,0.9234093527682111,0.920634945751896,1.008728177099954,1.4127014440450372,0.9837465462082969,1.1234552361849495,0.8657303965651922,1.2917972903541344,0.866895392863934,0.8516235646526531,0.8455277943087853,0.8395502315776984,0.6946855169201495,2.308484888427798,1.787021426724479,1.4524140402595822,0.9702685375928356,0.7546533067037801,0.7675509248929479,0.7642519451710046,0.7843536337960794,0.7736889281030114,0.7843507913327393,1.0035411581063214,0.9071576944023754,0.7139592462463982,0.6786056795494666,0.7491958410938366,0.7804060650608866,0.6535800680508431,0.5887206575696988,0.576521179354064,0.609894068594101,0.6091746623343217,0.648441809500542,0.6194199259533563,0.7197286407459513,0.666744141579192,0.7159085880862743,0.8149265727131597,0.6787866227807774,0.7315416463823347,0.5892153972571442,0.6049581328012488,0.5114770073781183,0.56072304977393,0.5654316354189891,0.6123671694066616,0.6776782418730586,0.7622322353583488,0.9003055927210049,0.7423273458606506,0.772154487560154,0.6791069417679956,0.6455724486219204,0.5487892141307915,0.5125371555190115,0.5522258737257002,0.6354643629662152,0.6156577142665862,0.6377900782812196,0.7532102320239185,0.7647842097011169,0.7990138567279049,0.9234046729004413,0.8512168305407676,0.8582224191650566,0.9156720702360404,0.8391862865148579,0.8913923466387925,0.7075951817297328,0.7785522917970188,0.8472448452554343,1.0912801467575595,0.8456281186834115,0.763699099056743,0.8177684737858782,0.7032995224075356,0.6488439468407555,0.5872547426571071,0.5740542818332706,0.5107475181470631,0.5669566315881068,0.5266123194152877,0.5922936209538631,1.0696884877004762,0.8944290425343068,0.5481328978552301,0.5397877357309158,0.5342971689212485,0.6008269962413232,0.6515751159567059,0.6989625304768066,0.7104435047531541,0.7953376404626217,0.9053831506342116,1.175240942696931,1.0948864246210726,1.3752193349346267,1.898478854700341,1.5814665963359373,1.0940368356474826,0.9685071118233487,0.8510033342600705,0.8638468508817465,0.8232059022987319,0.7718709432124526,0.7431229289933864,0.6773094056758661,0.7515747265972573,0.7960891093954005,0.7917904797875716,1.1982926930533366,0.7735628015825533,0.9412668608019664,1.0931538741393705,1.0711765779471583,1.1937632117380588,1.220872705519763,1.5608577439119462,1.8581369957866227,2.059637921449481,2.034998653239223,1.5799084985936904,1.699349384232411,1.390919939455234,1.175843363006038,1.2676010589974356,0.9867741882369229,0.9445276323568004,0.7770657839369857,0.8472832583299724,0.6889062781016732,0.589163616728352,0.5813166815897607,0.5702339173290838,0.550663703882243,0.5040697024637252,0.5514323940068032,0.5928301989971257,0.5640355667015909,0.635711600041481,0.7328008903890998,0.7830694448178598,0.821363109830632,1.0021634415893546,1.1345318598433334,1.1139045312599107,1.124661722046758,0.9078979616444828,0.7501854389302577,0.8289360983788476,0.9614446671288298,1.342455387055552,1.1159945224847385,1.126068361185725,0.9010235355348716,0.8193302718288112,0.7660702328141425,0.900421248985195,0.9609293499598328,0.8661712299402565,0.9280667535084834,1.178825133677071,1.0787753675451175,0.9563144357027977,1.2959566823105089,1.378190546849264,1.167049344127797,1.2361648573597641,0.83682796944794,0.9632328904149664,0.8425756337390485,0.7281991107382412,0.8230838732628198,0.7307502253557144,0.8087128530556812,0.7256693831931375,0.7179801830964918,0.663540684742335,0.6977973299515834,0.5348081720934794,0.5364477729520655,0.6542512233278985,0.5782556697429136,0.5897551205747682,0.7092012962717018,0.9439600982535008,0.7423696399999656,0.7469717289297197,0.7013347975639405,0.6114385190392643,0.585003042092473,0.6410877372559495,0.6665457911955962,0.5991192507422589,0.6661161663019903,0.7444268180645413,0.7316413112115163,0.6891868337785798,0.885151825026116,1.0107219715593716,0.7653695245951689,0.9039918387648457,1.1348125593691516,1.261415342587795,1.0846578472612636,0.8496649000585453,1.5113963750560953,1.261025641835401,1.0828034712757528,0.9214798318013394,0.768358414423979,0.7870065045742216,0.9680474457135945,0.6981113078190871,0.6949027959801728,0.5857941114775516,0.6051562585773473,0.5643022376408559,0.6522539404851319,0.534838138248894,0.5221050229629041,0.5761793314755285,0.5184994901624658,0.9118538849519787,0.7580133109084263,0.5371858050658747,0.653888925202749,1.0312990903616133,0.5259122592958664,0.9082914584377729,0.7531300462129834,1.7785394057574515,2.3405011778173335,3.225267067732615],[0.6226941235788434,0.567206738227031,0.6225518356523125,0.3978056608827307,0.4948325270440953,0.49993681717949956,0.4479869501947139,0.4756914035104701,0.5239007225678827,0.5257481470371581,0.5291885711684764,0.5461254139768259,0.5446531676860001,0.5492832322982091,0.625768771890196,0.607879108687241,0.6567367191709594,0.6932778943537379,0.8725216143161348,0.7693747410478959,0.9464093972369058,1.1549914498286302,1.2066292986497438,1.3622966530529441,1.2225818981191083,0.9242697726074456,0.7390180750309407,0.7180741940973184,0.6677941573331633,0.6161912939385403,0.6904393237363275,0.5990779239884468,0.6295040891923466,0.7057810028947256,0.6614569848038706,0.6956892912458758,0.6361245300829085,0.7514932481789379,0.7391998486329184,0.9605709668585172,0.9155729915692948,0.8768792738130747,1.1306172253924,1.4277461838247507,1.5774467303057123,1.7186562668407077,2.3742895534365513,1.8106770906993315,1.5790639130008712,1.9036213499993448,2.069577199944044,1.8607398751134279,2.472389821745158,1.404135805369774,1.8818752163485528,1.304489472697828,1.2227508580320772,1.272702086309557,1.1934435523920257,1.3527864349096355,1.0892247158540984,0.9521423652069497,0.8854571370575005,1.1604779573414876,1.0579872640310077,0.9030960925897915,1.0325671801100833,0.8213934609790053,0.9458801503249099,0.9404666644615486,1.030170447582508,1.441382844521623,1.0123306962753362,1.1571919719203214,0.8721070583684981,1.291967061140804,0.8685730188468025,0.8468505814555,0.8279014937311886,0.821848582626833,0.6829087082513676,2.241687133801519,1.7141604548707616,1.4152566959817574,0.9080881787123537,0.7098883030327052,0.7187950966680352,0.7340500474690318,0.7653376754537644,0.759849800707438,0.7793150878836012,1.0098846434847149,0.9104804563472885,0.7072854879730892,0.6703932941837587,0.7526335753144291,0.7807359244744904,0.6459013388616776,0.5779679110506474,0.5831163028728167,0.5835790611976241,0.573021522780281,0.5965984708888213,0.5931236484504192,0.6800412088439823,0.6456499904841208,0.7081233205743614,0.8090414513218991,0.6763359809935808,0.7055748825208386,0.5884887620950118,0.5785140557578019,0.50147481573079,0.5336050380950352,0.5501083954699891,0.5970571716483474,0.6638689864066856,0.7472228900811371,0.904913946789386,0.740212584116279,0.7765821866275077,0.6818242816335665,0.6506515500202843,0.543771466889766,0.5038388675242533,0.530929185235407,0.6456158187635638,0.5991271420774813,0.6357804972552464,0.7272290920336946,0.7788599049223864,0.814624056667686,0.8886609437667603,0.8121133878456956,0.8126681966434063,0.859439662609158,0.8026339064199697,0.8472898115271521,0.6479748136620489,0.7037378666623021,0.772406160201909,1.0120168936405063,0.7897745772944237,0.7100328697263476,0.7610174671246902,0.6579709774763103,0.604439374800044,0.555084237721668,0.5391479808685652,0.49996446262160554,0.5510924612981289,0.5089122182305624,0.5871529755827721,1.0786916679537981,0.9007179031024891,0.5281876796027222,0.5142114441539077,0.5142267469829505,0.5602009732671884,0.6153797633698161,0.6433278804518906,0.6612902159113705,0.7312995485319734,0.8415453330122478,1.1223900825124895,1.0179907439983842,1.2914879191334478,1.784481758636662,1.480943892790635,0.9962433326982879,0.8901078077744904,0.7688970857871024,0.788518870689671,0.7521920146147035,0.7104901345994938,0.6855678082122509,0.626185238453115,0.6966303005932564,0.735837441739982,0.7312955656839489,1.1357654217747524,0.7204373226401284,0.8835823514757465,1.0336212527764415,1.004261035851639,1.1291242267455033,1.1494733819976357,1.5126160350402613,1.7950379473534235,2.018786939624396,2.0012306109650986,1.5492266015276703,1.652791569484368,1.3428756939918673,1.1567720351049966,1.2949606271377794,1.0240449141620678,1.0017891068971412,0.8365259322847076,0.8889360231440858,0.7550978215386751,0.6447975217128114,0.6333607462228928,0.6360356550525411,0.6210189544215812,0.5439860559887075,0.5810362915625257,0.6518619096631981,0.6097259202708899,0.6616661472280725,0.7612887200498641,0.8224067256797144,0.8521276398713932,1.047612245959523,1.1357810099750938,1.0981291694142352,1.1616727643105118,0.9629623802302381,0.8085419555795228,0.903717184822524,1.0595455648238266,1.420450825829031,1.2204120772710108,1.163697496774775,0.9725645732630293,0.8974105382591013,0.8381187039890615,0.9908227304037752,1.0571508609739864,0.9271407006032919,1.023810595767331,1.2925988423323391,1.1811901076544893,1.0463630256897891,1.3436230250332049,1.4726240235143078,1.2457112986721823,1.2661645094728888,0.9140407678986051,1.0242922787305224,0.9204705461059983,0.8016091278327434,0.8723009552168479,0.7832781386213091,0.823490910056211,0.7597317809411169,0.7781929794431959,0.6622640900328275,0.6870083357686091,0.574207624953967,0.5692365232619888,0.6468152630015778,0.6014716599601414,0.6359487155584599,0.7448659828872652,0.9621982572009324,0.7946240477199801,0.824853452499706,0.777673907483053,0.7016664069130898,0.6546248754711684,0.7206483757375388,0.7502608889999908,0.6688090215576331,0.746416090032045,0.8326999350645404,0.80963101804603,0.7652230748797746,0.9966356719550064,1.0918283265749882,0.852791585735017,1.0041541366722306,1.2576282751002115,1.356228998806737,1.1655387699930504,0.9218863441690069,1.556948772128358,1.2567208240616345,1.1355244292968283,0.9407565504825828,0.7860583342347822,0.783766461309984,0.923674844153199,0.7270173640140126,0.7589128546415307,0.6291012652710934,0.678381986599649,0.6112093904505285,0.7115295856083549,0.5626797101746267,0.5579711667574881,0.5958508574084903,0.5289130050283887,0.8502625445554338,0.7369668349507645,0.5302546245916945,0.6163617820735411,0.9942330782362704,0.527406369039269,0.9025556180144173,0.7940185096544337,1.5820498830034855,2.200345087653241,3.208168305497785],[0.5739153691052291,0.5414411933965779,0.6469779563408032,0.35709443669896157,0.537506934940801,0.5214975466267199,0.46922838419664836,0.49062297697394,0.512487624700295,0.5115107724901801,0.506886860171763,0.5220357877503108,0.5380200549763824,0.5274289826444137,0.6084117047627866,0.6039005922088556,0.6534426761329283,0.6735458851931155,0.8281005158713335,0.75143492477497,0.9066285786470017,1.0844339126978326,1.1920574667265107,1.3079853706427818,1.230871503707604,0.9117738060571426,0.708257125861087,0.6893911971329787,0.6467213576837854,0.6058785078588415,0.6759082439415107,0.5967663687338817,0.6138062037430718,0.6937771797847287,0.6556033100468829,0.6799487087529837,0.644474588785746,0.7205348743992972,0.7259298319174595,0.9365129952521748,0.8630246002120353,0.8180005218451357,1.064603251790288,1.3435074967988778,1.4721142120547155,1.5923539612588318,2.271431249838494,1.7460431347875054,1.516647125236027,1.855899017064843,2.0668348355348742,1.7737744521016001,2.362467249133664,1.3822356555082538,1.8945570501839488,1.3093418918556134,1.269947375174912,1.347239889513058,1.238075815300615,1.373398567690817,1.111801482906595,0.9571729252076497,0.8542239672032073,1.0902811123993543,1.0083372987903452,0.8743657274373132,0.9955836513988502,0.794385379374893,0.9176847763583633,0.9129050944884136,1.0249304039705995,1.4494211154719217,0.9707679131547061,1.1270680744984978,0.8408983824264833,1.1943037512718992,0.844023559601287,0.8188402302859712,0.8148327539434843,0.814973478858399,0.7420077607246273,2.154081326062864,1.6180860116060922,1.4884084048307291,0.9101189325124556,0.7251210942143016,0.7055899999860981,0.746512671447856,0.7522275326719573,0.7436488916929286,0.762474835155071,0.9822711786113644,0.8835703873703318,0.6940256862945359,0.6590047812257438,0.7189692885087638,0.764958215658012,0.633018144444652,0.562953642783807,0.5589997276327735,0.5997004351668775,0.6336207702032174,0.6420558954089074,0.650394179256852,0.73733150769667,0.7068461767454147,0.7881423561952654,0.8742628050251257,0.7352735875212391,0.7277576197017623,0.6313919968184172,0.6056408613348196,0.5174726013957917,0.5389640212437725,0.5514988191380598,0.608454629792333,0.6537956240421642,0.7201692824766546,0.8608290984580665,0.7127777766781948,0.7582231908772701,0.6896571367572681,0.6514585382162386,0.5281525725358049,0.4772038584352721,0.5215644037793038,0.6734140208655622,0.642609892451477,0.6956264098861171,0.7703579944845835,0.8342066363247225,0.8852855048534086,0.9478423380071811,0.8740589698359347,0.8568619092658661,0.8473867791234433,0.8287585818655532,0.8094503416014078,0.603531453784505,0.666105233352547,0.6938205663196475,0.9320644046617939,0.7285644096078159,0.6738827137169033,0.731209414170915,0.6438501780487945,0.6026829061326844,0.5685296753278104,0.5623495485575238,0.5324772765062344,0.5864400299404665,0.509206963407422,0.5998693831811747,0.9748542009774551,0.8127258056417426,0.5273142147706019,0.5183992446025147,0.5498926972956578,0.5848884441957638,0.6532252646825677,0.6721156724650968,0.6686763591418745,0.7189705703570499,0.8329700733134731,1.1451464036893053,1.0091886389408617,1.274940755451364,1.7099207853018337,1.4309071668016735,0.9396816170250603,0.8939948246914661,0.7591433980118973,0.8042540386635233,0.7739479970433482,0.7303947847625617,0.7108006292770926,0.6484618194861071,0.7313625643994875,0.7515445159298838,0.7794512914297071,1.1435242142991617,0.773673678341683,0.9488544056200956,1.0983738582163307,1.0572423519333363,1.1529308810813548,1.1165612044006168,1.4945766374236864,1.7160478204987828,1.9992581750087555,2.0187944731974805,1.5799068412006843,1.6763849129611406,1.369306144112397,1.2045810589325001,1.3547722349738323,1.0731151559092966,1.072742409427446,0.9043472847156121,0.9496436386914572,0.8330159339625648,0.7258238235986542,0.6962407577896035,0.7060070644293819,0.6994177606462858,0.6113882085403517,0.6523091610948277,0.723283168785415,0.6681948793044716,0.7132706649242034,0.819850898012887,0.864911857003966,0.8769506588190952,1.0730291566149701,1.2050195560746506,1.2069053657791395,1.1851263378113686,1.0497414987385063,0.8812128117890269,0.9628861707034554,1.129062076792556,1.4542677998928322,1.2636176053501804,1.1944412770689945,1.0268261427443763,0.9893246641043958,0.9338948646637577,1.1081936884575194,1.1423473006619767,1.0343013412373396,1.1118282629770457,1.3562488931807122,1.2268150236437405,1.1274133143034752,1.4660563587051854,1.5367239203173535,1.3252333029061374,1.3127661138060787,0.9838256437985766,1.109141841848005,1.0103328447305089,0.9005805833605385,0.9855872692893063,0.9010771061705749,0.9418188132705573,0.8736354499346536,0.9145121054561568,0.794776613527073,0.7964662657336193,0.6549017344324704,0.6260270909728377,0.6694341252890568,0.6513610609096473,0.6959839084871235,0.7452832489760639,0.9505598486338329,0.8163571254174173,0.8513463866434788,0.8158248808460246,0.7549294141856598,0.737178122760408,0.8092187687310397,0.8178039112448855,0.7456107019294657,0.8374484836682466,0.9078923425975362,0.8720784934342833,0.8412428614213272,1.0573960819346988,1.1361544922177704,0.9031126296147493,1.0503411285753506,1.3127304490966087,1.3677463191399795,1.1946679728126899,0.9641048502773287,1.6282208775807951,1.3521318549833448,1.2290486539235153,1.0528094073088468,0.8812933634223921,0.8880322461598821,1.0852644367531665,0.8523242289845929,0.8264133559132157,0.6756291911424231,0.6980625570643284,0.6453750178884555,0.7650311815610384,0.6161341345703071,0.600965528313236,0.6339878204942244,0.5768752095108394,0.8159060150450839,0.743802561799003,0.563498248273594,0.6207305636122202,0.9753620034256371,0.528235241824477,0.9320527312165865,0.7852695201499726,1.5746778770004246,2.1586139292410342,3.186222116144429],[0.5699985248201652,0.5428468728158503,0.6386223609646139,0.3429865530493355,0.507854043130565,0.5130626130120998,0.45058190068795373,0.4700294271034418,0.48067211320871106,0.45244055076900663,0.43602847954059193,0.4753210286207436,0.46524495127395377,0.44978655126900874,0.5185975437047396,0.5063291914522858,0.5504741848584389,0.5535762662000594,0.6853912450841956,0.6292101484920293,0.765208003056248,0.8977273585854947,1.0873461825712882,1.1557212921074758,1.2064278091991827,0.8213251666942497,0.5961926350815201,0.5555624429752155,0.5244749165999247,0.4877014244444331,0.5599126648578938,0.48397081559143446,0.501208384361985,0.5646278598825863,0.5306227406171844,0.559172991079468,0.5321564885068597,0.5817268964284169,0.5911340095501739,0.7959726192778601,0.7265867433724102,0.666484538065748,0.8541070198416517,1.1767167302037864,1.3488130829945137,1.4953623397933784,2.141220981077532,1.5502458445320786,1.3806582085243029,1.7227880742213004,1.905545598315568,1.6935938581363101,2.2236768175609254,1.2741241458728652,1.8744876614512704,1.257073942340517,1.1713666924187744,1.2956600314764364,1.2011756570344039,1.2888805705104731,1.0258216847601715,0.8624102514948299,0.6983863118136355,0.9070294922704155,0.8493021871361573,0.7216433428980843,0.8558129907615952,0.6558169711837832,0.7942355169482012,0.7999003628109482,0.915806439815025,1.302412477957605,0.837244561449919,0.996692215763193,0.7150481287842951,1.0816539423776712,0.689400782159807,0.6649197842192499,0.6659411370579917,0.6853297744469525,0.662382404398013,2.1277249942208263,1.615429995910394,1.3318021766730133,0.7906072313935449,0.6066724454753506,0.5746357912320178,0.6507844647090884,0.613218812363231,0.6099381410234169,0.624210139331607,0.8509500822169546,0.7653850104655651,0.5688265430546987,0.5504043386086709,0.6361109873674256,0.701622996346761,0.5629544773096264,0.4990204765858421,0.5206339336694542,0.5195158404249457,0.5613760863498313,0.5492643262145556,0.5766245072295233,0.6501924639248688,0.6344916827035851,0.7043330146066296,0.8047258182216496,0.6736926861515022,0.6744697217267004,0.5779899530345832,0.5452495284842528,0.4708909033964695,0.46764318820342465,0.4723210713719224,0.524576006630962,0.5600454472366841,0.6042021131910295,0.7341970040988081,0.5904182756838409,0.642026776611461,0.6058623517632263,0.5837077912853249,0.4571709116203335,0.42920980771961836,0.45938324606755276,0.6348123987396352,0.5780032352660395,0.6316651332465095,0.7054968420695157,0.7643177450203902,0.799978316780259,0.8594759223219811,0.7801177952425925,0.7765841843467371,0.7956181520238884,0.773465286893287,0.7770112231126863,0.5254219858320476,0.5688914953933611,0.5853372879791381,0.8774804715746092,0.6185340775739532,0.5575455814344592,0.6023850678583426,0.521381760633643,0.49420153510348624,0.4783371017165826,0.47876538092870985,0.4778401170168563,0.529798352302494,0.4759684788095849,0.5713957159682865,0.9695144211746797,0.8046612395395792,0.47772210810802185,0.45218899646095284,0.4848662881881037,0.4963288950826549,0.5797927103771967,0.5735955555765545,0.5576147243789771,0.602303478351355,0.7018169828357276,1.0089990973375984,0.9061487125281713,1.2081377167621574,1.6999089797871931,1.440301957054573,0.9427745769296749,0.8322235099421038,0.6770376214528461,0.7025573809518887,0.6654698897176013,0.614895829593697,0.6096106287697861,0.5484965822051243,0.6224698971192888,0.6254145973573089,0.6616151102644655,1.0575726428718248,0.6781063245271859,0.836120384329803,0.9747790187897545,0.9353008573887162,1.0105154762152113,1.0034749185180445,1.4089488934861334,1.6932715385511248,1.9483256809035894,1.9006103601680875,1.4412984070308548,1.6080587018412575,1.3101498424623237,1.1221607449489106,1.263496022984201,0.9970559987913933,0.981340983221817,0.8180028363617287,0.8806143912295848,0.7439495741084191,0.645730743680555,0.6292314880904031,0.6225061950095292,0.6103462116598048,0.5526768284061342,0.5979496561980391,0.6494059972272331,0.6020257730977303,0.666492651635385,0.7729468234751665,0.8120515774197515,0.8366329147226789,1.0317413762166834,1.1656070424736644,1.1795909717002364,1.1102769006734843,0.9535557503780426,0.7917335494357516,0.8648819641165129,1.0057575434327295,1.3550161811725485,1.1497134633066748,1.11009624066924,0.9272429338889326,0.8792532574386741,0.8295766222757683,0.9724631270062981,1.0104700811845246,0.9227756618999117,0.9888828135729235,1.220106292992945,1.111593435072479,1.0060078541069897,1.3276161067168142,1.4212599859793345,1.1981036238397085,1.2509278607488883,0.8802388341040813,1.0128494331116038,0.8992089803637799,0.7943392986166962,0.8770752564176189,0.7920844471798242,0.8480459589568244,0.7781972377987684,0.8102491126240347,0.7179316536734248,0.7371997267167275,0.5873897965141739,0.5673969420648536,0.643251252221422,0.6074282905567235,0.6303568155334472,0.701704338935402,0.9222776148283343,0.7654563458386112,0.787337515593786,0.7421617725364381,0.6676878065162544,0.6454568206606894,0.7015692664118467,0.7139967791680835,0.6529044125308568,0.7280781891649766,0.789206192007916,0.7703616855985602,0.7334367225889975,0.9242347042651552,1.0179953090821328,0.7840652034917734,0.9332829923678271,1.1443156080194794,1.231080189688424,1.0712402840849684,0.8708458675642969,1.550892239008161,1.3309599374355492,1.1435479839716136,1.0053203760534914,0.8262686897663402,0.8626949901316667,1.0826351555137557,0.80241494680907,0.7458422978116848,0.6026311270461212,0.618977584225724,0.5863151344328105,0.6996681802537791,0.5614321079094812,0.5503368337729865,0.5840658867479974,0.5257436971080227,0.7903929858316545,0.7084954878767716,0.525164067894347,0.5901175286105499,0.9498378327852817,0.5030805915151878,0.9278971683164418,0.7683535944329065,1.5818402537102676,2.1574248725594005,3.1440697606586805],[0.5935216369839188,0.5319824723998585,0.5996390196028167,0.3642431022594184,0.4745319319665614,0.49366637007643444,0.42218446607800264,0.4469854484644041,0.4650291057234459,0.4461847804096584,0.43847245724563827,0.4832766963206539,0.4487599770373003,0.4587223555899677,0.5353989818231407,0.5079555883450219,0.5551782958956512,0.569646404805954,0.7219666954473014,0.6404510427843249,0.7899359447105944,0.9515614148519406,1.0970270600574097,1.1954288903438335,1.2111977363256936,0.8417027997213137,0.6366425149178289,0.5754511217592739,0.5409306841051675,0.49481862652519065,0.5746700646000721,0.48748916801827785,0.5117925653366473,0.5768616714920412,0.5499261457170992,0.5808400493519451,0.5504683692432265,0.6150262553120732,0.6119630532311351,0.8160603371513793,0.772657446070614,0.7207826746962943,0.9102370731726982,1.2357258452623272,1.4212521728055612,1.5675896187124534,2.208869782937744,1.60662909552324,1.4119640523327714,1.7428957249186912,1.915827226627113,1.7106795705951299,2.264921826011964,1.2905856449257926,1.8804826436461621,1.2653363545274103,1.1524808580103483,1.2611607431332907,1.1877077101197635,1.281922954210959,1.0032657973797656,0.8578907191241069,0.7083129229816864,0.9423094099345215,0.8681846320935677,0.7398211680889548,0.8779370200355685,0.6604521988214763,0.7918292579384005,0.7956210382971693,0.9054507783908508,1.2827341297109978,0.8473076076873224,0.9909469754328395,0.7259903070373733,1.154668105113882,0.6922859293258115,0.675596999044389,0.678681963865333,0.6799841144401881,0.6473363981605138,2.1683716458657196,1.6661692728309159,1.2814828232673792,0.7952576378663468,0.618232393597903,0.6040210157757261,0.6712679615493344,0.6248927794390668,0.6197970628575569,0.6344062127954184,0.8605300400632291,0.7797369096454446,0.5823280252579601,0.5562183209986324,0.6521831668161598,0.6975600184053581,0.5655634327342516,0.5048309961961628,0.5273653354394113,0.5015854159668579,0.5254907678730145,0.5127306078387713,0.5355898051189507,0.6228955059274576,0.6005931438310425,0.6694882065831514,0.7787583175986571,0.6550251825656128,0.6554863760110613,0.5497088112512647,0.5157521086177573,0.446802061858484,0.4525514297747017,0.46714866528526994,0.5104441383405869,0.5626442869666097,0.6236783870508025,0.7646969346227397,0.6141986439589353,0.6664603671147409,0.6098971798745156,0.5930892198544434,0.45084156910771345,0.41293711916415593,0.4516511908239159,0.5863207196184302,0.5460361991724052,0.6024023019099402,0.6784822138705402,0.7556060746366352,0.783324353347187,0.8274771386605374,0.7448562594907624,0.7475087184439355,0.7791331726676017,0.7491221701093492,0.781840000498402,0.5527118139310133,0.5956264949479378,0.6553714874054503,0.9293212384095755,0.6668141583889932,0.5926671908692038,0.6300774251210667,0.5373383373115249,0.5003140278250279,0.4716874486533097,0.4569932646719024,0.4517503598614068,0.4907472243991569,0.461895875158156,0.5570067966070689,1.0427273204305538,0.8492082784133105,0.45272445554351226,0.4216376497752363,0.4554396195497223,0.4775064387628159,0.5519618808396394,0.550695184237215,0.5540046230855035,0.613413288412346,0.7047851890294169,0.9782974177191447,0.8991257806395502,1.1960137547182692,1.6998184702672827,1.431277495773392,0.9731317120401043,0.8206683136799156,0.675680837691424,0.6915079290356254,0.6426993894017715,0.5922478820755596,0.5876278072731344,0.5336745345628284,0.5941521905543375,0.6092244536442245,0.6274121286531467,1.0261350334427692,0.6442069851516633,0.7957846145340086,0.9381610340069738,0.8960713884317006,0.9865788690780647,1.0180658360285124,1.425348741840604,1.7254386670472044,1.9545405533693452,1.8893647349298457,1.4204529525611722,1.5867431504128384,1.2825480621126306,1.0894786172905824,1.2389461548677816,0.9962946715158248,0.9786310571978822,0.8361288736684981,0.8828400623971827,0.7579239746203102,0.6521043250754487,0.6377939621512224,0.6463113853808815,0.6338334221791426,0.5551831649137995,0.5907646806825049,0.665667332017905,0.6255456173224511,0.6711093429879487,0.7772331628051353,0.8412577169782481,0.8583024564422097,1.0518588504619921,1.1677754312374466,1.129678477583792,1.1971724294768689,0.9770336427459423,0.8177366469269309,0.918220276680484,1.077250909910086,1.4286537531173027,1.223445935814083,1.1970552125219667,0.9886240268761103,0.9044180143660668,0.8448883678026418,0.9866333399232342,1.061590415861709,0.9248925748793656,1.0317942550567911,1.2986340001798795,1.1996468933240465,1.052447907774004,1.3122134050195406,1.481177512466161,1.2465178354849555,1.2507799122374499,0.9108034172720779,1.0007204733121202,0.9134894793405879,0.8025053885476693,0.8584517690021758,0.7816142510036436,0.81093854489033,0.7562291626075063,0.8011240342865839,0.6651932632076367,0.6708298792220825,0.5810900591042356,0.5808057484541104,0.6382331368808457,0.6082279466774503,0.6648809235822054,0.7507373073184319,0.9546946830626648,0.8057824295613961,0.838213416800146,0.7921965318027065,0.719278530237554,0.6750504631011148,0.7404033155760233,0.7634049027425965,0.6867407883680591,0.7661366866261289,0.8438583471179306,0.8200720863077938,0.7812259982234661,0.9926249858900809,1.0944187955489415,0.8630456035013107,1.0055057862316699,1.2476155847181611,1.3557531430696335,1.1673195438266832,0.9197213093589907,1.5162075598026687,1.2316417613979938,1.1362068071430689,0.9524610342020101,0.7978746504256387,0.7957487300780139,0.9375226337478194,0.7298613284646043,0.7426278663330691,0.6261199278578323,0.6873457680622495,0.6158581820356065,0.7180062643640913,0.5420042601040486,0.553180024001739,0.5802724939230256,0.5215569875104007,0.7642096504483641,0.6824121132441855,0.5111636488261216,0.5610590184174354,0.8982683277844173,0.4959702741089252,0.9125207099664729,0.8063381465508663,1.4245910374318589,2.09907055685538,3.166451117428991],[0.6127924410100677,0.5522587855363362,0.6451718638688065,0.3835004748107309,0.5287626391238792,0.5468860746527687,0.4624909221779963,0.4877306160072965,0.47796945622422127,0.4399713888526114,0.4172946076554207,0.4800630519279291,0.450102749945416,0.42925089536120903,0.49751310472103777,0.5024728664278361,0.5466052578198958,0.5521244056162966,0.7045757458371924,0.6475602241583466,0.7931734481740663,0.9154308229733827,1.1179878338347555,1.2003716875589654,1.2358375005717555,0.848313677642807,0.6169229631069832,0.5546348257218616,0.5199002065965154,0.4819534080094272,0.5616178081886468,0.4738039449988344,0.493494411089768,0.5553620413221174,0.5344894370263743,0.5647991082673701,0.5336395276798793,0.5775862470348598,0.5925097791819971,0.780696750075771,0.7193346414367058,0.6748261253913878,0.8597775865033688,1.1648015228622586,1.3343611879006687,1.4464191147575274,2.121755589773506,1.5555017920934648,1.3473818797774506,1.7019270022398159,1.9212707069356485,1.6347921556240936,2.1505958853143903,1.280740291881466,1.8826097367114087,1.284758147486292,1.2441783805623066,1.3625098262599011,1.2462090768588254,1.3361572716740522,1.0610518309124908,0.8955240269489539,0.7155481734919756,0.9295423450548671,0.8707644104018196,0.7440135459767063,0.8821011889518644,0.6673261102885222,0.8037742413985768,0.7954794528394351,0.9171251672409717,1.3040433547131132,0.8413611807613411,1.007942891934286,0.7189728364948835,1.0828009613688292,0.70192621692344,0.6706936718959163,0.6719728805943691,0.7050573522635569,0.7123664535719697,2.0691952128339097,1.5616455910421092,1.3148493596741793,0.7749089870786485,0.6171208164327061,0.5832345851243809,0.6709010005204671,0.6226107242405702,0.6080757965516238,0.6310440927850702,0.8557792324611475,0.7670447726066557,0.5622115173237812,0.537352771078147,0.6173667013712495,0.6767253099682009,0.546348192788185,0.49444322378010974,0.5425261841790956,0.5099961506181555,0.5662064383039186,0.53414476896789,0.5965612759642441,0.6592121304665304,0.6672641947361694,0.7450448213815357,0.8451717695469139,0.7204790635912341,0.6806864120030772,0.6073630038550668,0.5466494223870917,0.47559688078481926,0.459001206800392,0.4541591507438226,0.5101128883016908,0.5528859761979777,0.6096265713969022,0.7561406431839043,0.5901036385279875,0.642390064697426,0.6031899789289313,0.5828993696718419,0.4395562393037702,0.40195432734422615,0.44739538128041195,0.62495222158673,0.57686101646528,0.6679534280268653,0.7217571005718342,0.8259447392244191,0.8641467463690391,0.871998118983001,0.7928752599682458,0.780783662331955,0.7452737012392853,0.7552051192416497,0.7373302231759395,0.4857619162617315,0.5333791702850222,0.5806089407466927,0.8730759803676249,0.6157865192222224,0.556049349896467,0.5941613636818242,0.5111002872867587,0.48667919022294004,0.4734055573308776,0.47493801984234146,0.4848213920675946,0.5296038625570381,0.4789155803445648,0.5914592691002243,0.9909864680688218,0.8092086107075314,0.47475035197615095,0.43627292909923454,0.4905283873548138,0.48012059841026417,0.5729767547925632,0.5524449575783345,0.5473525485261815,0.5867900388878877,0.6793252492092802,0.9863368814257756,0.8780129899723704,1.1485389837477096,1.5824114261451836,1.3290936433898861,0.8896244932667945,0.7963477660058901,0.6453102532506938,0.6805977925234659,0.6406572127713237,0.5973975806475558,0.5939312818662089,0.5439537919556747,0.6110379986359229,0.6064101986578727,0.6483791573108802,1.0141204547129328,0.6747440366264851,0.8307910872989636,0.9766614220007496,0.9214318537943916,0.9865956422725091,0.9650018149165005,1.4045865036430552,1.636572256541592,1.9204378521926972,1.8675611342512302,1.4405397708782495,1.5712084386340432,1.278644616591035,1.1253820859591437,1.3041884850429446,1.0596514695199195,1.0770613708623824,0.9457739051847882,0.9727157326997238,0.8738263814902087,0.767941311589994,0.7363294215711403,0.7571385398123055,0.7601653936572773,0.6622757820059093,0.6879896330568132,0.779291103902467,0.7348094426890336,0.7574942353114459,0.8636578000182386,0.9237183402691601,0.9244910214631412,1.1274406233416632,1.2367040703791667,1.2104879689108534,1.2559097770564074,1.0923905988382545,0.9321232648146616,1.0264330821224061,1.2065324563270607,1.540404112599426,1.3318777410055007,1.2614630374840219,1.095923361148817,1.0395252900051624,0.982127947717159,1.1472854812487567,1.2020718535453825,1.0592637357989565,1.167130951450578,1.432507948807867,1.306551943357164,1.1794991871970053,1.447807143542456,1.5922194172246689,1.3699592612314757,1.318125623470889,1.0340940827036722,1.1180975758125644,1.051283416152287,0.9393608322777046,0.9971462433171093,0.9222477110043646,0.9326521948160928,0.8851116502434745,0.9551277266358653,0.8051150756990594,0.787441208284307,0.7070182244720824,0.6950716621950118,0.70276018725884,0.7051996495947567,0.7711154070986019,0.8140951489729849,0.9857678438931878,0.8845782782738623,0.9291617812874566,0.8980417478065623,0.8407553300291045,0.8057653942165565,0.8757376309911498,0.889083296820441,0.8115683389213041,0.8992704911056568,0.9664036284547318,0.929059527524941,0.899178459243015,1.1158001707147474,1.184534935791597,0.9634012616069613,1.1136756780741301,1.3821997250599554,1.4374429034121352,1.2478761902628552,0.9970093979843854,1.5980669792467315,1.30582534714546,1.253000802152034,1.0653136046349563,0.8992487828278896,0.891104003400033,1.0441289745100062,0.843461751901059,0.8349939860440292,0.6880236640695879,0.7590971943906251,0.6815535748760032,0.8071310840084789,0.6209123453713083,0.6268467300886478,0.6560223449086922,0.61573872035757,0.7511228066920516,0.7045170038624212,0.5739380853874668,0.5942302545932547,0.888862670058249,0.5304457144302334,0.9603310678443986,0.8734732773288626,1.3455965484155703,2.03102551845012,3.207602661913913],[0.6284854954510473,0.5870088084221985,0.6961096860582305,0.4272087864853977,0.5835472151690035,0.6096532350629006,0.5314936879582564,0.5527451400133525,0.5406726375112564,0.49945341885733,0.4709713840193439,0.5326808905818955,0.5155924013338119,0.4853644227461847,0.5432080684185725,0.5577661840883473,0.5981121103618193,0.5933877134100999,0.7121706979458842,0.6877652640495209,0.80851101666823,0.8701054059753706,1.1280300602250917,1.1953063423786643,1.2840805526782517,0.8768208865171766,0.643967002305902,0.586018008208552,0.560209225185808,0.5295359553845138,0.6079487570442244,0.5239434878022926,0.5432738963313613,0.588686955787437,0.5776892338987278,0.6048911021822646,0.5741112074481453,0.5936883760352692,0.6114768329889175,0.7720389876900317,0.7070413428270662,0.6632712140390561,0.8129653101690646,1.1065454181630607,1.2821395411166585,1.3937655403120839,2.0525045731026754,1.4871191127133503,1.3089632471541928,1.6636654860672828,1.8889511526860108,1.6190053466228365,2.0755533076046295,1.26407935904875,1.891253468375281,1.3026754783758396,1.2743843386637816,1.419260697506652,1.291837741074894,1.3499942788176928,1.0977979819641361,0.936861166370226,0.7330676150972376,0.9099427472303044,0.8596046128374274,0.7588182567567339,0.8865941925410761,0.6967259477065019,0.8298765337070265,0.8177298855629561,0.9452196601027208,1.308723542448656,0.8529238347556244,1.0256027645623593,0.7405437228381647,1.0519651430605252,0.7280122037025419,0.6914049796477927,0.6952210425772324,0.7384952295926256,0.7793486392064447,2.030067080062557,1.5362337161534148,1.3060738359818294,0.7732043470385666,0.6524192087394749,0.6052767717716733,0.7059299513385978,0.6557720628235281,0.6409028112239181,0.6673278850277017,0.8729268350133921,0.7913042696179846,0.6048262521446941,0.5863662226871644,0.6518107829346459,0.7185014051879193,0.5974324836722812,0.5505609788519533,0.5933725814202104,0.5694762218815349,0.6225201724812844,0.5862121148835334,0.6461618101110701,0.6971456270597101,0.7084650151113976,0.7800808452359725,0.8683421565526835,0.7467801205886924,0.7054651130434889,0.6501694547739691,0.5925685140989359,0.5347893397197288,0.505087093516545,0.5094338194322396,0.5639083459147702,0.5966033733242553,0.6425518096363917,0.7771219366377811,0.6183451208301999,0.6665957320389726,0.647389014046936,0.6296258576060655,0.4907348854547365,0.45838439987947993,0.49804845270901377,0.6643881113528738,0.6167800237666768,0.702862266059696,0.7484917628898566,0.8391538303951911,0.8691551172148265,0.88017392161464,0.8068712417306798,0.7942171709272889,0.7538025797322458,0.7759362970474375,0.7465075872677053,0.5097987875591006,0.5548734243159864,0.5996491833836236,0.8907884165215094,0.6278872589518756,0.5812205975232597,0.6045332890918196,0.5447777452458105,0.5323585415264325,0.5224017035246404,0.5248007365566832,0.5494684153351906,0.5842343773012204,0.5375410692505778,0.6287681463472846,0.9992163533639972,0.8320846327389361,0.5365636519565953,0.5048639598633876,0.5498019359555808,0.5317796096900838,0.6161699911773642,0.5837422424799616,0.5800390389615557,0.6044481138488087,0.6861027927485474,0.9874065066796927,0.8716180077865509,1.1410501542506093,1.558888778644914,1.3205648393633886,0.8942424773271777,0.80392829374685,0.6595012211790006,0.695527251244514,0.6584574969616732,0.6239545311881395,0.6263308557706652,0.5867059819798884,0.6525369993480493,0.6282709471349963,0.6762463817048749,1.0183735704402355,0.7021600868027109,0.8404849943371654,0.9743774871010491,0.917829032997932,0.9725805595051658,0.9461420714365634,1.4027889819133517,1.6303826692197085,1.9017050508948172,1.8273457662358485,1.4166210121490823,1.5528364173365317,1.2705818469191452,1.1210670134180736,1.3013385561424153,1.0566931991804205,1.0697048680635046,0.9335956564654824,0.973726412372714,0.8702273947060367,0.7762027068380888,0.7516761379743009,0.7580522126226839,0.761832418511387,0.6814244678257152,0.7071420078360259,0.7832460253381578,0.7401623153435284,0.7749286822164186,0.8794088118191531,0.9218802062065266,0.9277064022810173,1.1346938572450007,1.2552604744424896,1.2595500333864276,1.2194752295082472,1.0926961138954858,0.9327299865202049,1.012258289344253,1.1754799636180828,1.4992966956726328,1.2896275242284934,1.2235173746197976,1.0634062182831254,1.0128449702142692,0.9652909024022694,1.1165400540864787,1.1643824895369395,1.041994564463766,1.1337189706019832,1.3778402108869796,1.2540523992737824,1.1451715274458454,1.4280290359181644,1.5429240190442182,1.329444320369225,1.3040356543759921,1.0115602426567025,1.1112177049939829,1.0315890290700422,0.9293552628079295,0.9977876046740819,0.9277441087259282,0.9523907507155723,0.9005040618558879,0.9745601288815395,0.8376268149441751,0.8240356511081041,0.7228255085395441,0.7042856359961135,0.7211651757783798,0.7236234914236713,0.769569118757645,0.8029758212256688,0.9774842387190059,0.8767746167275894,0.9169056684660354,0.8851565830292748,0.8296884959459773,0.8055869164782995,0.859992375418609,0.8726412809184414,0.8028610021924875,0.8850412363781458,0.941590843658225,0.9111356276881087,0.8771526790351657,1.0752477721130855,1.145071211491711,0.9303019713298661,1.0744958641359472,1.3188915573272533,1.3733375878993852,1.2080365475561639,0.9925740139120975,1.6306547987786282,1.3742688979394555,1.2812066359708203,1.1172505190143474,0.9329947411631025,0.9460998591661306,1.1440132320729435,0.9078108811335537,0.8656749358845508,0.6983740933905456,0.7437431846336083,0.687987662645319,0.8149308779598619,0.6564748678148976,0.657236361554533,0.6839894775072175,0.643247702388045,0.7752744348858173,0.731892178891754,0.6101106178253615,0.6261520711692588,0.9151847337303491,0.5709549003533828,0.9901868243595344,0.8896419579856855,1.3673947469507837,2.0132898272393414,3.158442228131087],[0.6172237401391827,0.5513253951692297,0.6414930304418595,0.4048311536002624,0.5183304831642612,0.5694591824013431,0.48211590185502484,0.4914204060059102,0.48744042310708585,0.4513203242906386,0.4278948679028856,0.503976595826247,0.4580882324810111,0.4406656309593355,0.49429498831821295,0.4844390536590858,0.5122498696109312,0.5019464360677799,0.6062804634236553,0.5914956945817728,0.6966144793667662,0.7778223857681027,1.0305554962065093,1.09072579081957,1.2330056846577457,0.7982989913120144,0.550685584863214,0.4862872026539266,0.4666263383899383,0.4422069342015507,0.5276103508710699,0.4487641490138887,0.4731865762873644,0.5013718913901603,0.4948924713021267,0.513243598089861,0.49605280598737744,0.501507858937304,0.5185448890733798,0.6684246395440191,0.624972194522339,0.5654427441042447,0.6939591897777068,1.036860918471771,1.233606198869452,1.3868856279566575,2.0004840890565365,1.386696931996091,1.255094360904732,1.5942087432597363,1.7867513986725436,1.6293303659789047,2.0122057587489732,1.1477257317697687,1.8360536260586853,1.23603278040212,1.1396259652393117,1.3030307017027563,1.2287584531882814,1.2379518284633684,1.009575044053541,0.859195202882304,0.6193618775537938,0.7913064623749106,0.7545410881165865,0.651145390172178,0.78278728754818,0.5873563667536734,0.732065187508251,0.7254090632961414,0.8528708053422781,1.1848981555351001,0.7517966618876689,0.9268537907822959,0.6406107214236619,1.0049300960679766,0.6059637890330796,0.5744641659786293,0.5876625090339177,0.6270545608308871,0.6874935908697446,2.0492456699710964,1.5866925284178315,1.1541479023678067,0.6814359131390283,0.5847418433613338,0.5215529150057587,0.6394378319437277,0.5424966151523687,0.5459779893854441,0.5781839265193818,0.7987767306310349,0.707765061431743,0.5249779765051223,0.5087550888903314,0.5902604097915769,0.6520903207213811,0.5165514189337969,0.4788600011350958,0.5702007910764401,0.4864930482712684,0.55554809365975,0.48469870240308743,0.5594770194035616,0.6148123637809787,0.6220563699266524,0.6899194283080051,0.7909634037160528,0.67136184238133,0.6532356273403058,0.5816042725333326,0.5097389469646901,0.46115269755346694,0.4331889979044995,0.4425956546605848,0.4855422030304509,0.5233010401427087,0.5431156671420827,0.6679441164031473,0.517395065419254,0.5709224935106849,0.5731457219268327,0.5640684495891426,0.4194699605161329,0.40304547828872667,0.4355621670890807,0.6234511006308434,0.550326401639794,0.6310069475273603,0.6718561192422913,0.7734780138269634,0.7917234893118273,0.7945312264765411,0.7115280752841384,0.7125896546440968,0.722156361449065,0.7415709717826381,0.7324858886651009,0.46588412967770737,0.5085520409879495,0.5387691080565957,0.8593805220814963,0.5517353010835077,0.49295565873383645,0.5182404436895117,0.4669445353960716,0.46116972817932883,0.46105292359749867,0.4430848989976319,0.48844366310897386,0.5175326350973144,0.48385518567922803,0.6071353976974542,1.0230996197110083,0.8287701427143961,0.48245214239348677,0.43431048290445184,0.47789219501819274,0.46047293583000026,0.5273308093010961,0.4944559853004614,0.49746255686100815,0.5235326644821071,0.594372195214588,0.8942600194439712,0.8053534913015995,1.0882374039099934,1.5547544383429217,1.3355175090024627,0.9441306410038101,0.7636789321772776,0.6093131593095665,0.6271018691282647,0.5728645385433448,0.5255570244929956,0.5346349082013164,0.5100445428763236,0.5711277606722314,0.5299663177867445,0.5840893952770492,0.9683188379024072,0.6148659292440731,0.737189166645538,0.8692746365854443,0.8014367943960963,0.851935311722033,0.867729858551472,1.3594184961885558,1.6724058294176765,1.86652736081561,1.7343017411306212,1.3178887759888283,1.4874196395549841,1.2165991272144179,1.043181630417859,1.2124043535096856,0.9786987727346,0.9728124184706479,0.8678978425882035,0.9063787889178565,0.7832523705885766,0.6898612933360855,0.6755344336546171,0.6794815874417941,0.6781650833569783,0.6103005233962302,0.6368593346266263,0.7061347771667906,0.682342421301398,0.7279949793809098,0.8249958461937605,0.8862248264750653,0.9114452263975069,1.1210929273334391,1.2239341183069037,1.1792970164882306,1.2036590066213722,0.9871114313524451,0.8320103495364642,0.9278414552115931,1.0732168034962037,1.4298599890470602,1.2060355457879028,1.173573941310466,0.9778243685652712,0.9079281727361762,0.8570404751900107,0.9947752783817768,1.0718640399436246,0.9316931334844862,1.0483439061682949,1.302337619388681,1.2055625317310592,1.0671274121522227,1.2960371943856819,1.48418831894487,1.240638110299415,1.252508291153752,0.9339701173982079,1.00243621126449,0.939580398486234,0.8252422812737735,0.8852870408008223,0.8161843923561832,0.8471534077227304,0.7994059395317951,0.8594052044912005,0.7247374518836713,0.7264900186092811,0.6452470925909919,0.6506461004763436,0.6808858350957788,0.6731719266845012,0.7264733239848701,0.7937785212596637,0.9802098371860829,0.8510062154058845,0.8829303284666421,0.8367190400680996,0.7562418366533747,0.7171593922035117,0.76367418108455,0.7841795600288564,0.7163798199810654,0.7794582039261067,0.8397957439152082,0.8182124009913432,0.787124986162557,0.9833130948627327,1.0750185041241889,0.84401274180348,1.0031922788010506,1.2094078626072642,1.3040577892605545,1.1244685504583138,0.8924238432750663,1.469232242829409,1.227871502068362,1.1430682915230368,0.9953768468590616,0.8265576732265357,0.8588670093145417,1.0096134790184648,0.7661808794215849,0.7372843194379454,0.6179975366996592,0.6970522069005131,0.6503753407634791,0.753443846180761,0.5933747568078424,0.6100138395997602,0.6276384111244527,0.5839066738090403,0.7125081997746636,0.6886621299536145,0.5591521405106811,0.5881325266806545,0.8685645780266841,0.5425623876565935,0.9596583152957171,0.8948295586952739,1.3221510026294907,2.040046323821328,3.2087145237326373],[0.7570369508393932,0.6676305523959873,0.7168940299247413,0.4953475836662512,0.5818037331639405,0.6165231386218811,0.5078308906055299,0.52246994661298,0.49335375669601117,0.4542049955343979,0.43460029104863107,0.5303063454516581,0.46169967402790574,0.44146996682955886,0.49819487900674864,0.491843323364644,0.5185882166847363,0.5152631501901213,0.6543380469428488,0.6085615127589242,0.7293048449585017,0.842553298869708,1.0617137943653927,1.1324881490059489,1.2194851461431504,0.8089396768343582,0.581683244740886,0.5097655549448736,0.4781301375681958,0.4535701647474278,0.5352472023058648,0.454941246943846,0.4761288899755093,0.5124713293619433,0.5034872856787829,0.5277767783198256,0.4989187683480867,0.5305878636789106,0.5467660142445687,0.7255731288742879,0.6707456612636302,0.62259157793989,0.7850015853562922,1.1152651320005205,1.3026721419026335,1.4299357139545108,2.080629407125038,1.4977691479507553,1.3188500672403025,1.6645079408454513,1.8843735347957746,1.6273062630143054,2.075726906414767,1.2317290488561405,1.884302875183153,1.2918261570198197,1.2116387622529714,1.3643402325718998,1.2683113633391718,1.3018862355396115,1.023595894984083,0.859030850713223,0.6461920386260308,0.8560323818036248,0.8040055500160406,0.6758416240305081,0.81877843912534,0.6126587347876081,0.7643989832697238,0.7363936990604257,0.8632689721738422,1.232251543557005,0.7867701333044853,0.9621601160840311,0.6622138950214057,1.0316829793454585,0.6419515345092841,0.6028502248767794,0.6114597474385902,0.6653418745229308,0.7247623154897826,2.029642287631983,1.5395107342688181,1.2039990046594014,0.7281839496550878,0.6121104032631636,0.5473140219312943,0.654438277438554,0.5686530673145368,0.5593187247621559,0.593381060060926,0.8117267411217896,0.7349458329583228,0.5357339913496865,0.5222586156708335,0.6081171989058922,0.6560449462014805,0.5232989909778802,0.4892148595412088,0.5751215709613215,0.4993456678003987,0.580981987113688,0.5235367529862174,0.6287681860327863,0.6768782173310584,0.6983446512452351,0.7689234095286727,0.8768053581613112,0.7646971951926769,0.7228876534957022,0.6458548971415011,0.5515133357077829,0.4991122308413609,0.4628428721827068,0.44301076849904825,0.487275471331278,0.5280171542813332,0.560300626490189,0.6915515920069624,0.5409943793359312,0.5941941265138876,0.5688985441434844,0.5608681666279189,0.4220827430109084,0.41636183121489884,0.46138346844957984,0.6526735286813102,0.5998495779534267,0.7068736405411988,0.7378306200638095,0.8741818932661026,0.9116612690128079,0.8734212782540403,0.7908516394368336,0.7770602182175949,0.7342531910744998,0.7711164306214138,0.7509107871592892,0.47076954251500924,0.515140866808378,0.5566938396104778,0.8706921329812102,0.5807145484019134,0.5225452354171072,0.5522143303122231,0.4914456774215401,0.4808844338763179,0.4824349851832606,0.4735985341082524,0.5156749442333395,0.5602563305145796,0.5113141624865579,0.670001267144142,1.0534057652654152,0.8381611626930223,0.504010248294871,0.4581090596848303,0.5158814758649782,0.4822181298239792,0.5730510957357792,0.527073970905122,0.5249713444647343,0.5546357527333985,0.6361270391640734,0.9366380453785212,0.8511305520558835,1.0985944724457193,1.5183641466711717,1.294710567817199,0.9068002809325808,0.7864473121085865,0.6320799538441229,0.6615931251337495,0.6105487899985242,0.5703373164571328,0.5754312434991334,0.538504292241789,0.6125888509228279,0.5793475487528967,0.6314112728501212,0.9717857985954662,0.6694521351560133,0.812263177638521,0.941092423341284,0.8711035034992933,0.92753414263716,0.9186558015342449,1.4028766694673318,1.6661084565425388,1.8877789205635513,1.8003703070053414,1.3827071394470474,1.509367991447645,1.241466176679074,1.1113903665106426,1.3166909606625916,1.1002522028866637,1.1280684255220603,1.0427305149212842,1.0472284550707807,0.9803452139668803,0.8783977961979649,0.8352878875267028,0.8814983561683097,0.8965517828564322,0.7945901162939953,0.8123754162006062,0.9052006831992178,0.8835935871162641,0.876840313252196,0.9698976074230432,1.0464402351709412,1.0397689470272615,1.2400282262439177,1.316124658904106,1.2474175378928203,1.3926057971348715,1.1954624997348262,1.0520557468782172,1.1573802412734753,1.3291348743243763,1.7243738369587345,1.4802184999356234,1.4178161363323611,1.2229949486307716,1.1518601973693512,1.0840577181572932,1.2383799562279585,1.3061657657137287,1.1281710735030819,1.2852491808557553,1.570610924169621,1.4426764589421832,1.2963668733920342,1.4729439927499466,1.6906966183034846,1.4564201099840584,1.3568256206787135,1.1376037149926466,1.1750806807319483,1.1508825860004814,1.0378138842892288,1.0807178712196792,1.0196138740797867,1.0059696189267833,0.9771630502407992,1.075118014723951,0.902785838820658,0.8573233339430621,0.8368035605546784,0.8429846559193073,0.8175862658205146,0.8371467750025905,0.9321530382898765,0.9615796467811331,1.096246923063006,1.0221310479736703,1.080564824887456,1.0544317517847797,0.9975277094939077,0.946950455298209,1.0178750993813184,1.0282874506883293,0.9544998235798031,1.0214561449566415,1.0926577055420275,1.056462743454989,1.0294276935645428,1.241903099961751,1.294046646235307,1.0955370723703517,1.2113637025597346,1.4915244531412828,1.5600988187941078,1.3561185430779428,1.1022295147323027,1.5960808694476718,1.304735713519856,1.317146131085918,1.0979642233192624,0.9757084520625634,0.952456029387133,1.037353450818084,0.9004437944064052,0.9089286077531822,0.787386809721629,0.8872312428603807,0.7941607181007218,0.8918346046888916,0.6918235568894192,0.727927725460888,0.7481290579710295,0.7435148511189266,0.7684377324328671,0.7368525575379535,0.6767717311291338,0.6763382064360842,0.8564112161198921,0.6181672244600042,1.0200475096072465,1.0183326554483818,1.3249720026476237,2.159945038132504,3.454305390746472],[0.9223022429113685,0.8687403037455576,0.9577593940553115,0.7152291396245575,0.8557668442475973,0.867032648735318,0.7854847743488813,0.8138916856896171,0.7322521365197199,0.6619311394929452,0.6204626906074902,0.7298696971669935,0.6952400643815044,0.6153372643056757,0.6672596986757489,0.701916911042121,0.7226337524732751,0.6928122303078748,0.7410338375696943,0.8136488868488494,0.8961902071703508,0.8951618676910568,1.2187256293751592,1.2906466577903624,1.4153353997113722,0.9642957554851554,0.7813543603028277,0.703836666288848,0.7023070084538252,0.7141887812255182,0.729875735022558,0.7102706730271595,0.7162757027224589,0.7382361975121342,0.7691759423896282,0.7674762099341388,0.7858247671052365,0.7527412232196983,0.787973284302735,0.9123578933837847,0.8510041456784544,0.7797865760969653,0.8747085012971557,1.091269583930661,1.2591474411695205,1.3458780197342717,1.9594315060247716,1.439219577243595,1.2758417544602778,1.6120209177671165,1.837155024123979,1.584510581131975,1.9519899035871568,1.3891766638635814,2.040811625966642,1.4967260902011819,1.5232741039028739,1.6737923586665795,1.517353104638889,1.556619414130811,1.2814679035414727,1.1269299675572522,0.8751048704828049,0.9671237203794116,0.9418629002608943,0.8722375440222461,0.9312003054846554,0.771242928666499,0.8672023501417683,0.8407971469424618,0.9497166507981085,1.26548200674627,0.8504954439038288,1.0635369741032283,0.7769846120030912,1.061739183668017,0.8338707133070966,0.8062668964198815,0.844486885257647,0.9334228435374236,1.0785883795735116,1.869354864407127,1.4269964711203618,1.2779611191969018,0.9414864698528576,0.9122881877470563,0.8132727560407418,0.9562900899484382,0.8136918268490173,0.7970749179377017,0.7986712586983788,0.9248447636955816,0.8613797253991503,0.7177475017641936,0.6977087604070457,0.7418739578846056,0.7948864218850115,0.7296422740099391,0.7181873578708122,0.8249914833993706,0.7747627546372852,0.8837308237323428,0.8295719241130959,0.9380548382791787,0.9830667607067737,1.0104968434893566,1.0639948032714317,1.1556032806646415,1.0582721534837394,0.9842189507267747,0.932474315036046,0.8542531112266588,0.7937177277088178,0.7242030348661439,0.6834448652594508,0.6999224461500585,0.7158878431962612,0.708939084351907,0.7966710894854188,0.6721446591161209,0.6992186329475291,0.7223033412941425,0.710399009979275,0.6143081767424654,0.6382693388438686,0.7028935708299943,0.8390830813638316,0.8781660144139074,0.9945803037041205,1.027144941950352,1.1609988638706659,1.21568700266317,1.1410758080484138,1.0794898149130532,1.0592171596806645,0.927253568783814,0.9952379943363325,0.8796292798968394,0.6785781183513846,0.706448874417098,0.7005522885648579,0.9636976346984276,0.7340506653420665,0.7209070398311757,0.7551713189740934,0.7126254328935,0.7095285711925114,0.747690390411595,0.7768487733139762,0.7908193384063372,0.8302814727744106,0.7984605766560928,0.9157943246731031,1.2143611133138608,1.0307095880082788,0.7960508918790976,0.7523912167377346,0.8228579647441235,0.756530363520797,0.8534787745441977,0.8062427399112891,0.7951046326092714,0.7833916213221143,0.840633055932293,1.0617165139470703,0.9827282802318643,1.1983385370274098,1.4890036986377178,1.301009372488014,1.026487797070306,0.9793013929567905,0.8389184962484802,0.8993275522837171,0.8686455583413366,0.8606947918949062,0.8662487186456606,0.8326968990091141,0.8836367742578893,0.8663874310205686,0.927877061084471,1.0929934779723813,0.959129540771683,1.0741032869008218,1.1742764505599594,1.1104259061074675,1.1152708852409672,1.047232599105579,1.4959338652615717,1.6041608921884505,1.9257443018391531,1.798849036477082,1.4417220024564026,1.5691587636460664,1.3697387458475843,1.3094617044100032,1.5327084099630575,1.3618900313477986,1.4124413308354273,1.3251272148349895,1.3242474902597101,1.282958205604787,1.191438371509895,1.1323325255224272,1.1733298670516903,1.192865577001093,1.0783011437277434,1.0798150694458013,1.1762193655516997,1.1452174683810847,1.1045023525288467,1.1885917591435455,1.2415063371573618,1.2151763596663536,1.3825115000205341,1.4849529670092723,1.4826189463728885,1.546529932705989,1.4516058186517167,1.3192255088222304,1.4079125552216487,1.5897387898459614,1.9085406761955865,1.6972394809688296,1.6060074351993379,1.4623591244431688,1.4234115678464214,1.3822688743924882,1.5224654856405018,1.549027832603467,1.400823864462056,1.5424068001070976,1.778772372516731,1.653650897168181,1.5432816741320912,1.733987036202135,1.8707222750163004,1.6970790059479661,1.5906655452221041,1.414260695483262,1.4700356396907936,1.4417903235295992,1.3447295741488574,1.403060076319366,1.334903066352854,1.3472921733558465,1.3061572830741548,1.4024347941972364,1.2454456839402799,1.1908613295348578,1.1481642552564977,1.125992445129382,1.0571206214133906,1.08596431927121,1.1774186897857783,1.1489890043584758,1.2116168017593663,1.2224139539179306,1.2999866736487125,1.2917361551815165,1.2656290946560063,1.2373239031530279,1.2941221789371906,1.2886965369088133,1.2296895934290872,1.3145306233185936,1.3455409893151526,1.3045249536832952,1.2965290324741867,1.4691696819072855,1.4694683033057365,1.3453476075686117,1.4515063931680807,1.7467046210996922,1.7492629342312556,1.586537538175094,1.3603564703484765,1.8441028343465047,1.5863574082061993,1.5995204562909793,1.3872459388854443,1.251151180692912,1.2069665586208427,1.3343939805357476,1.2017896045628644,1.1979996718001547,1.0719453621568684,1.153208472153388,1.0522027408891772,1.1719747087001446,0.9798975489293165,0.9900492350438385,1.0298854011736784,1.0410115382585405,1.0250972997746797,0.9655105809638063,0.9288348578350241,0.9153512860577567,1.0082482189682682,0.8378302829998971,1.2180725492243811,1.2245121537683663,1.4286531748405118,2.2144586113963163,3.547165166678061],[0.8112079216689448,0.7448075307045152,0.7936063851655952,0.6098330704108476,0.7215919922589553,0.7572796928434992,0.7060412302720976,0.7192769619562746,0.6850589851775755,0.6506201898573738,0.6246187028761759,0.7097588640037104,0.6732367744237149,0.6301901092034499,0.6635595875987094,0.6777168194381699,0.6972397561216827,0.6784016246623769,0.7137629130259311,0.7833864335690067,0.8547575423668887,0.8347048023463643,1.1525012931003664,1.230352797743593,1.3888036581862364,0.9389119168152541,0.7357205904916104,0.6764179169052446,0.6704675285951069,0.6550717793465561,0.7121672782698615,0.6569211925934476,0.6725688221184107,0.6878626086839941,0.710559770990591,0.7090950984358344,0.7216241014501279,0.6916717582168355,0.7133469137511685,0.8122781347355835,0.7609910254734916,0.7204693961644343,0.7980136598151315,1.0333162460574976,1.2114076418778923,1.3248611914053139,1.864973954707608,1.3355724825508786,1.2328410794589035,1.5651640881942663,1.7902949868891818,1.6010902188947482,1.8814335467897187,1.23868479155478,1.9426147679415555,1.3932288327235016,1.360953753586871,1.5581929514197026,1.4448856346605874,1.4235968887860575,1.212907134846968,1.0940478956567081,0.8151673702670625,0.9000311189717932,0.9092085134189398,0.8180114383072833,0.890627527888404,0.7523443329871579,0.8585813662979049,0.8359313080236981,0.9759222207498345,1.2388442921855534,0.8460105456897906,1.0296084218558386,0.7795434911698458,1.0418241575749307,0.7860975805757809,0.7479703142224166,0.772229853168349,0.8544442378481589,0.972651963725567,1.892807173749653,1.45552905177314,1.1588815726760378,0.8275412344762026,0.8179949374485532,0.7326637475219435,0.8834911388144672,0.7553331700661868,0.7457873538451952,0.7596372800084339,0.9225392660393958,0.8179391808805937,0.6923822329833731,0.6811331675724819,0.7304947007882263,0.7869787225464415,0.681412107540679,0.6537063841744263,0.7518235962545949,0.6949170838417207,0.7486613611287274,0.7034601310117626,0.7832061660669093,0.8017076732898439,0.8294457031053875,0.8574532129579208,0.9371714160056464,0.8280406113609361,0.8066902310787373,0.7732599393988404,0.7103293081281129,0.689277463793117,0.646052589682313,0.6554428009064465,0.6890278219948167,0.7197434617725479,0.7001191067645653,0.7988754489801284,0.6664392088866087,0.701542521619033,0.7327025457900685,0.7237325899555802,0.6162700538260364,0.6076232049638847,0.6293189651345661,0.7749948649041964,0.7367494900811616,0.8206980559823168,0.8438370003567826,0.9539235604559942,0.9706352153898152,0.9456983875877504,0.8854058154867729,0.8850878114885198,0.8065318836188764,0.8507005705550088,0.8093976415769619,0.6325378880963991,0.6596303920083537,0.6852932054028666,0.9658848397411414,0.7059465212711251,0.6759067898795983,0.6886528329699675,0.6551345077060723,0.6538937062197067,0.6641321789756658,0.6661492573504144,0.7083631517701585,0.7052200307691638,0.6957422129349615,0.7963048943849715,1.1187994492784314,0.9584275261655983,0.7004433418078576,0.6725889788354116,0.6982413041190825,0.6667663477148666,0.7307744880356352,0.6822059234946157,0.6990910142496034,0.697640405908944,0.7343832462704389,0.9640563007330376,0.8885386530803183,1.1042996094211062,1.453168724382436,1.27505219886495,0.9968403974316283,0.8696283452135211,0.7389911017173945,0.7737264380736941,0.7314871289733106,0.7223676960999158,0.719557241536603,0.7327021146258568,0.7510553819770933,0.7314471896786602,0.787647405936359,0.9978319439720333,0.7921252806300789,0.8927252310798143,1.004470053677528,0.9343969998016092,0.9587515946151351,0.9442623039898611,1.4259315045766958,1.6401489038954753,1.865707585378296,1.6923164796505386,1.3411874851080647,1.4932962328064605,1.2603495690328552,1.1417670555001864,1.323559148985057,1.1361493132272225,1.1359143705882389,1.0284818128924444,1.0551821486934312,0.9444787555608516,0.8697803133014973,0.8499448058111144,0.8436552283553903,0.8425787720229881,0.7814040219953303,0.7988484832384308,0.8520879808906849,0.8387132271542088,0.8790673083284547,0.966855741331206,1.0094544281420263,1.0248611277814996,1.2339732968341408,1.3286899345336167,1.3345904278533942,1.2833856058666002,1.1421271463259066,0.9757045759866376,1.0534172097091568,1.1874831960223864,1.5444517578024881,1.3004626298375175,1.2446446886079794,1.0805761548656863,1.0322259682634927,1.009206415041844,1.1432511323460224,1.1791216441589902,1.0419121328873726,1.2007446758664155,1.423955309463819,1.3089108159043183,1.2079469229568827,1.3918318463835362,1.5716587153955435,1.3406830289893124,1.3217028143329426,1.082012208448491,1.171137235024296,1.112812125388759,0.9960251410005564,1.0648738992656535,0.9843482940046422,1.015880472399112,0.975460532253968,1.0481601388952277,0.9154273781353551,0.9087159485919518,0.8252402823204738,0.8127919461245414,0.8072531148492609,0.8262857324850933,0.86951022251946,0.8942113393237746,1.0356464416717535,0.9595896847318213,0.9980085509840414,0.9642579745009479,0.8963131223750608,0.8719129912615939,0.9095074936138667,0.9125854337212369,0.8619931072366618,0.922552404573254,0.9572021079572082,0.9337865036898881,0.9137573718163434,1.079572635906484,1.1543126962689574,0.9458478473403091,1.0770904018268315,1.3021162027448332,1.3543269295146307,1.1992778689592607,1.004612633882047,1.5764568908996697,1.370498314032682,1.3224059041510792,1.1898386863438195,0.995500640716688,1.0395781056430928,1.230874181937093,0.9820802021752267,0.8925903582513415,0.7282323343848862,0.8134144552746148,0.8127009780184029,0.9155390134059496,0.7875837659854862,0.8016802255142862,0.8153239335051673,0.7804901481359116,0.851488719873129,0.84543486327192,0.731586217049886,0.7404855051471194,0.9324145577452698,0.7103725925281268,1.0906977170598433,1.045717624369713,1.3253876628575718,2.0842889899490187,3.3693735480811973],[0.7968675034253063,0.7135504236525001,0.7871514892594993,0.6225629928422712,0.7022968393222586,0.7274081461157323,0.6575684890981562,0.669615321262804,0.638135313894389,0.6177109159023647,0.6007012157305912,0.6846873284297067,0.6284632744291136,0.6043025349515999,0.6352673509256783,0.6383790200156908,0.6374453519360169,0.6266229533471112,0.6733673598333834,0.6866410670516373,0.7593567851451378,0.7981851324925987,1.040652666469217,1.1074485172324766,1.272260947113151,0.8471553301559331,0.6333818082895449,0.6041042474767881,0.6133219631663529,0.5918906670486799,0.6665496434770758,0.6143497288876322,0.6315488072404932,0.6238925621967114,0.6432391482227944,0.6314049976645565,0.6636013869639784,0.6390278576706858,0.6445424122077804,0.7655460041086215,0.7014531777505708,0.6382803321924789,0.726520618305849,1.037475458570103,1.219851807447287,1.369203526044035,1.9179899467639856,1.3476574596576452,1.2682491961350453,1.599808650727132,1.8103792526059677,1.6601761014221712,1.9403644945533776,1.1762965485782724,1.8933846844498403,1.3292725964076149,1.2177044193725544,1.4182442784205775,1.3607081349425907,1.3076099340242722,1.0802564648596715,0.9590909121680249,0.7017499032074658,0.8212448566289671,0.8132107358292859,0.7284465599120474,0.8210095299970102,0.670373415679373,0.8071528580710386,0.7976659888107589,0.9549882831197508,1.2385736692481089,0.8319891421480416,0.9771667979226337,0.72935304791606,1.0546501937721384,0.6949772144387232,0.6639264713402391,0.6945966262649356,0.7554239072650757,0.8644026301608673,1.9760458826132876,1.5687981932090318,1.1221813662248823,0.7915252477401645,0.775656809962948,0.6591512033823578,0.8206430563521433,0.6663708369731894,0.6599641968192282,0.6909609840130693,0.8980093601445447,0.7791860643849906,0.6469288742894787,0.6419046464565971,0.7044890300865201,0.7374621091335486,0.6117489817135359,0.5939365085822139,0.7213357051398475,0.6566171856060914,0.7218952674158603,0.6491546032412538,0.7543002333729423,0.8270790178182827,0.8473851634196214,0.8946616301550104,0.9783658769310077,0.8926469521258741,0.8674802610700952,0.7956681843074302,0.6970039263688305,0.6494235681835397,0.6018070854005922,0.5930349518977314,0.6183088476751651,0.6471169986255129,0.641380565424872,0.7411191259651829,0.6089622626826091,0.6505406890844104,0.6773229551137473,0.6744383649729553,0.5572259330963637,0.5611161954461982,0.5972210708452341,0.7688985280349223,0.7335429565659377,0.8376950084660121,0.8744364516332492,0.9974973410180907,1.0302815481659975,1.0035766310922565,0.922084895151739,0.8979227940439437,0.8271148064317334,0.8837908989187959,0.8134492176075312,0.593950326637415,0.6298539786929719,0.6283726215742431,0.9088506213741041,0.6294871090015332,0.6014256010333244,0.622244479135303,0.5939558323402742,0.5968411840909343,0.5986264018119454,0.6234163381138995,0.6663238753594046,0.6868517039569102,0.6628409031753515,0.8093068600097907,1.161331121056514,0.9530805009568103,0.6729355998097406,0.6302347253812286,0.6682215700740097,0.6265075453056781,0.7051995679737194,0.6661790708283597,0.660911757451731,0.6567766831110309,0.7072071186772168,0.9561358113049421,0.8848192098435318,1.123241505680882,1.5093075401388236,1.3375904367230924,1.0547208576981972,0.8935498356844241,0.7468686565423998,0.7778217450125776,0.7440190415617413,0.7055493350266122,0.7115522339296404,0.7018728921176286,0.724557258908322,0.7123428398957039,0.8003642034907429,1.048122141397567,0.8072771703245254,0.9114983344533281,1.0174600832460978,0.9156280310888103,0.9243880129592733,0.9205726602098153,1.4278886263975799,1.72675326727635,1.8892588444626748,1.7130208702853233,1.372734722560134,1.5442947613513625,1.3256247652362405,1.216154313255878,1.3848386323200392,1.196915667193309,1.195299356295743,1.1358488724417455,1.1222575446862746,1.0460668457826472,0.955197828795473,0.9252880348006302,0.9550206563514044,0.9534648723740847,0.8591431092451416,0.8735204701717754,0.9377208247057806,0.9172471275151104,0.9182107609224839,0.9940099767354089,1.0606256376722736,1.0718559295868078,1.2617783734864947,1.321191742108143,1.2508619553522213,1.351466376516224,1.136114515139121,1.0209544622593185,1.1161371323569742,1.2560621362245712,1.631714284104938,1.4286540829632965,1.383163069671435,1.216371314505305,1.1645826048606185,1.1367580167842646,1.253858871305166,1.2989060627322109,1.166261181856296,1.339311261617435,1.554606751261813,1.472431220141868,1.3543904667652311,1.4554829605086683,1.6965924861014798,1.4707245890703406,1.4245797459185237,1.1959078897157678,1.2161713006893622,1.2155300230656498,1.0949433734485823,1.1220536275237467,1.0618352328336529,1.0541451465480387,1.0382117292599125,1.0953726742958245,0.9520613954558962,0.9337336386555227,0.9063994820357536,0.9081481593595497,0.8911127954844822,0.8996682576152041,0.9679522321400447,1.0111052147364714,1.1417459699375745,1.046346701208453,1.0853128798616685,1.0523614962319197,1.0020468409389942,0.9771815462426983,1.0210604980464015,1.0159549060253497,0.9627584348434455,1.025873346002622,1.075288416923111,1.0398732974182456,1.058203919085213,1.2373158803648099,1.2730998546113281,1.0865299820414638,1.249333189890784,1.4447417151984139,1.5058559735285524,1.3385103139051615,1.1078611343439688,1.5376832219643302,1.2485749966288124,1.2569688976641102,1.0799221932178218,0.9654409292532175,0.9699480006859836,1.049355499146849,0.9029819927420027,0.9439340236512208,0.9152965119516686,0.9933286825749136,0.9129108519002654,0.9926852747357767,0.8222627658962287,0.8577725143401305,0.8707323734427459,0.8412618646417996,0.8719028943135393,0.8813181091612595,0.7641497607381,0.7693233835891519,0.954783970668662,0.7412509110040008,1.0979946893976849,1.0931912826290764,1.374917363995043,2.277719907238618,3.6308625123731475],[1.0170930204635418,0.9309872305166806,0.9269348103221198,0.7854647683271658,0.8125816941408918,0.8595773474858249,0.7729666876978465,0.786675629463864,0.7578003143569283,0.6968955648980397,0.678763961413216,0.7789050403705318,0.6959069861559182,0.6702873424778915,0.6961852691253952,0.6916707302926969,0.6910125740883931,0.6691346827103446,0.7141574544694491,0.7634297121425487,0.8352506177094086,0.8287918419103271,1.1588748416934247,1.2257376635296682,1.3967003255993884,0.9315621453962792,0.7227802028945913,0.6475172398088576,0.661935640701367,0.6509313817841573,0.7176388324805149,0.6716426714760886,0.6890702356200314,0.6933975952352924,0.708235041692386,0.6989893229226948,0.7256415767016748,0.689271653211935,0.7094505060517907,0.8341193788852401,0.7846768507186267,0.7264080658562739,0.8173972936574874,1.056489774356972,1.2380291354161286,1.3350910882160536,1.911395919735184,1.3865070634252648,1.2474921873900386,1.5868261884358574,1.8045984243350865,1.5545743447625304,1.9162721991530225,1.3243445487296515,2.0158721170783256,1.464773058819133,1.4428018947041321,1.5947556924201245,1.4763197201388318,1.4742443507402454,1.2108769623404614,1.0701621307108036,0.7928396399434232,0.8905070562592184,0.8888803725310405,0.8058391736561413,0.8927883030149383,0.7333883569394152,0.8334018043064376,0.826520398456966,0.9470025112940863,1.2442287059431936,0.8449281121448114,1.0243419950521457,0.7564630486475697,1.0114690562639137,0.7715029402706269,0.7262963184399521,0.7657730167351634,0.8480859451374729,0.9719550029791205,1.894390390726702,1.4782738066918781,1.2038342358971534,0.861981801240697,0.8441785387366075,0.7337542683703242,0.885495140027255,0.7353239887817796,0.7180844988633507,0.7497744471290538,0.9036069037288649,0.8308009974278241,0.6978130932950513,0.6892811392045457,0.7514676363999223,0.8093874172073979,0.7140645982121618,0.7051999110973377,0.8190517529401132,0.7386727118396638,0.8171015889995789,0.7349972856487111,0.8531107955132409,0.8916659464966592,0.9137679342849487,0.9814446828007014,1.0427517050009913,0.950301696660076,0.9412977503354416,0.8845151559473347,0.7668087887136689,0.7360750921133867,0.6759275242670093,0.6539139417808782,0.6687209135784212,0.6909698014172951,0.6835459320234842,0.7876448332674286,0.662008225258904,0.6920946575810014,0.7210505690982868,0.7189730993613492,0.6184539503681791,0.6501593065136533,0.6538716155204626,0.83303431856045,0.8010030785995395,0.9029888834149942,0.9319818959900285,1.050568705674848,1.1045574508896001,1.0538137016953217,0.9851934237639548,0.9555380276945266,0.8539503453891071,0.8972134222340755,0.8269583008228681,0.6166326852886993,0.6518814983320966,0.6895094469824447,0.9867708962329498,0.7031516455419192,0.6562792005710959,0.6829836596949793,0.638569697614736,0.6414672860404078,0.6639239436031646,0.6981763703716165,0.7503225348095939,0.7948011319673852,0.7865617594335795,0.9190513358512006,1.2509298371529058,1.049548370739425,0.7835686158530362,0.7254056059874948,0.7709947010589643,0.701025106749917,0.779280505456731,0.7218286401152181,0.7054352054859572,0.6946367915994986,0.7467069809152115,0.9830046788602158,0.9034171875915744,1.1326382885436914,1.449155112391836,1.268429805802192,1.0112733479185176,0.9133843487696685,0.7707165881425411,0.8238544255520132,0.7834218951767549,0.7668843419563579,0.7796382556705687,0.765797716558153,0.8094838494365567,0.7685173827631282,0.8541118548121953,1.0159827556438965,0.8650089270167778,0.9786034124206775,1.0952927717020937,0.9980923643196602,1.0185315147260523,0.9774467131933954,1.4916543492917373,1.649012237826403,1.928593841545372,1.7895476819076823,1.4144963375366728,1.5514610774127173,1.3150596008118067,1.2386593932510679,1.4332256942065507,1.2514556384815914,1.2912916368857057,1.2384078318751786,1.212630489982429,1.200312543366312,1.106274876083441,1.0408105699258277,1.1122627186429843,1.1481374824173376,1.0424531906889936,1.042676870771907,1.146727104607278,1.1478125556297942,1.1225007187661744,1.2173739194464623,1.294692552308205,1.2820481719016443,1.4683691363177598,1.5592405442279076,1.491982313241308,1.608541993566437,1.4360134519996377,1.296724588843829,1.4122093060288274,1.5421391980424854,2.08322989268594,1.6815201722857365,1.660776794968186,1.462879377687353,1.4244143673837248,1.3378372711584645,1.4999860042921866,1.5664702367162515,1.364148472376643,1.5406248953720523,1.795256629284921,1.685558463055665,1.5354205586416518,1.6215227167408295,1.8750780140502947,1.6559951406073516,1.5063385167521148,1.353136644521743,1.3546781075271663,1.381036734554518,1.2789005687384265,1.3149672101639218,1.263746942556932,1.2191268206046357,1.198064770307225,1.3195608427643468,1.1636662284271162,1.1073341318605812,1.1085442895962871,1.1302815209754251,1.0870443380831032,1.1145229007973427,1.2095925860212142,1.2339354802567268,1.327546055167089,1.274832987772663,1.3278769501311622,1.3091318172518127,1.2684800206254006,1.2196783082488203,1.28563597254641,1.2977057978967201,1.2217267927255557,1.2690952639799915,1.3450676038247913,1.3031554737215834,1.2740144881916118,1.47379689945468,1.5241215543904756,1.30955736756351,1.4083298200303054,1.6955525621741536,1.7163531449085823,1.522120765095631,1.3136739834204698,1.7252173447587325,1.451116894675392,1.5367971204628135,1.3153460313985663,1.1921661128298227,1.1714053013496348,1.246432754267244,1.0769199471736783,1.0772058135527884,0.9791826651596236,1.0969885188344026,0.9991812675663738,1.0708192783924098,0.8967408492684441,0.9853130654951161,0.9952118383526511,1.0078672808393256,1.007708347656934,0.9946694051193743,0.9542026460808063,0.969081934627875,1.0570779853047847,0.9196367528063755,1.2694189826933977,1.2256631560252673,1.4907992334312534,2.4423397951804735,3.8889556645202066],[1.1094694981244426,1.0242451103599444,1.0161029049319856,0.8564294200243646,0.9324522034687651,0.9404742877756346,0.8716936151784468,0.9048417364099246,0.8392020954628662,0.7994729334096382,0.7873634210662868,0.8966906457614414,0.8192546481090209,0.760762149237233,0.7919557416238466,0.8404881981595939,0.8388264785582407,0.8509416389160805,0.9141632170869356,0.943846403914871,1.020905732984871,1.0976400048412778,1.2810573240104979,1.366683907018951,1.4437798127072434,1.0545795423600617,0.9318628633121533,0.8727100130860533,0.870544835077257,0.8693492494597563,0.8896258832093304,0.8904815341469448,0.8915824502842836,0.9226021071492815,0.954002279473901,0.920745323674852,0.9744989423965353,0.982578373853844,0.9780701914501486,1.1534617953592243,1.0704192592518584,1.0057320866145518,1.1240566156238496,1.3900582707567322,1.493685684176244,1.6032227999921587,2.1131945146876268,1.6729887233271437,1.5784311531734418,1.899543407068836,2.203141601984437,1.8617615338926994,2.1839467126414642,1.5462051136321886,2.1840801263300342,1.6767733438315828,1.5580705540091457,1.745661381590527,1.6565255635091796,1.6075196389161792,1.2866736982430154,1.212980805457569,1.0205891873255284,1.0992826967023952,1.1150528136932525,1.0068580629698645,1.0278400093312412,0.9193812597644335,1.0047575785417664,0.9905764376057433,1.1205211718820716,1.3522731539984703,0.9962218650534387,1.1323469770421974,0.936768680298406,1.1762574068025853,1.0049710478250529,0.957181251751221,0.9894330821627113,1.0687542059475994,1.1799592295752093,2.0929497887362802,1.6992898870875788,1.44682075639348,1.118168989092909,1.0693584265784837,0.9929985712711187,1.1287235755792044,0.9678770643089535,0.9572926081388518,0.9527511691571839,1.0739559519431763,0.9639450980823003,0.8449059348739509,0.831548428734595,0.836684893029184,0.844904436152496,0.8623003687874856,0.8531674454195999,0.9215230061775281,0.9211741669946844,0.9987532142010851,0.9516784542628041,1.0616523648196337,1.1483433179244071,1.1404846033712632,1.1820064847246532,1.2258424053505788,1.129466474618016,1.1426193573975894,1.080088737972682,0.9725857616337658,0.8924703691527128,0.8773473522837297,0.832201861511572,0.8324263207815443,0.850996693988066,0.8446228260334108,0.92600549464283,0.8116888370710624,0.8339300490563945,0.8284566317029923,0.833247289910647,0.7506498901892535,0.7715295389741607,0.8446316998266442,1.0463409389418565,1.0057725212148612,1.1057023967628092,1.1546198600610895,1.2406717697965974,1.2857587427087278,1.2945580490974664,1.2465227455598213,1.2150800823974037,1.1230888203997285,1.1201001029001494,1.0563603964302213,0.827148298281704,0.8889843457069485,0.8822041903288446,1.1618857728008165,0.9178532408880213,0.8943894971141811,0.9495035098813939,0.888274958459317,0.8621021907459424,0.8775303056712983,0.8981567005072125,0.9016420440757066,0.9725015832093958,0.9183505807340239,1.0121877763959275,1.2879491907903249,1.105231658309706,0.9165108789852277,0.8924369076987934,0.9559303121674934,0.8870306688388239,0.994544155629861,0.9769484415237687,0.9668928058079301,0.9825514210637348,1.0669081652582493,1.2856762521878629,1.1790482426832456,1.3988618575776597,1.6621500501482522,1.4961092594347887,1.2807939039302536,1.1859728369181177,1.0590796833660427,1.1032687935559404,1.0729632013599402,1.0437920407698846,1.0594430606267828,1.003001491119974,1.0749272877258105,1.0852994001009049,1.1557447071356277,1.2898300493705503,1.1289611073129726,1.2502102084039284,1.3759438237383421,1.2732324877497634,1.3151883075509283,1.264806820117473,1.766041543042444,1.9881300998193792,2.1294046127370736,2.0239096168135413,1.7365617538194207,1.801130195252239,1.5862409912017559,1.4972406619345549,1.5874111605841787,1.4409409923867826,1.4392795811457681,1.3643819355667457,1.3307544272462002,1.3205532561067495,1.2389328390235972,1.1872062083117398,1.22719091120795,1.2445140348041732,1.1630247915024021,1.1617178801961143,1.250836273008711,1.2514345998683678,1.2308606359026362,1.3295947903558738,1.3910375551940821,1.3667977175469024,1.5339717458461657,1.6565367028446447,1.6407257079878343,1.6524995701383325,1.54303237253605,1.3904396869981341,1.4751049413745037,1.5950208105277488,2.102088067951531,1.6819209480075819,1.6750690580718106,1.5264010452739454,1.4988311616249934,1.4488088640469594,1.583415835385633,1.6103840029134584,1.4606984275543433,1.642198310427587,1.8499804038001453,1.7265604403771022,1.6186019316359332,1.7311688327604673,1.9229568005269086,1.7372101569609362,1.623330303320875,1.4672435906675465,1.498946013358034,1.5087037763411992,1.398015587572957,1.4445682702185503,1.4007005263446402,1.3468678426349794,1.3301901276420414,1.4263710353174095,1.2987260953878708,1.2375700993249215,1.226895753427972,1.236474392136532,1.1894637176244667,1.2226953545803751,1.3036544596877018,1.3070228994358968,1.3882499208848988,1.3539824751583176,1.4117172652531422,1.380976245689479,1.3407735142112203,1.3088033830283572,1.3696551469577078,1.3721333799998547,1.3056248336109249,1.3650639886081644,1.4166269372738716,1.376796878549306,1.3511467357306666,1.5213781195138179,1.5855733746845617,1.3721788992011874,1.4674925462068134,1.707320593349393,1.7093429815990564,1.5331578608724157,1.3796525684293834,1.7723452977158152,1.6017887594935276,1.6797409498033709,1.491722032006917,1.3286167978391408,1.2940654258964286,1.4131374234472187,1.2459119838376196,1.2243894824741364,1.1011820777634498,1.2003532733994449,1.1355394383109245,1.2144146180332227,1.0638983553984958,1.1257872613318347,1.1448932905182319,1.1558920841260698,1.1594999469785585,1.1389795675778165,1.0939548629956255,1.0927630343082149,1.146079996875389,1.0353711329715982,1.341400509950551,1.2735214027435882,1.5139365969356462,2.3796116243108143,3.841529335783116],[1.0175428086216864,0.9345742368694336,0.9484242685825256,0.7906930021092018,0.8756145151421733,0.9023140645117169,0.8400716738543308,0.8573749106236727,0.8168188977908994,0.7769297058290792,0.7665922753339459,0.8552774777933233,0.7891498350825557,0.7428063283097434,0.7724622802196447,0.8089808466620119,0.8049627687462368,0.8073141401181928,0.8400487732834597,0.9222367744907788,0.9905108828339847,0.9678775619081704,1.2768161971184033,1.3712262097328862,1.5112478851345434,1.0517101979585481,0.8873730408395407,0.8097853421567368,0.8212747207107848,0.8121315123721199,0.849162293870173,0.8332844608480378,0.8369905777848857,0.8642794150239699,0.8927246250930934,0.8624085086283227,0.9055236444006112,0.8770826695343958,0.89245554914288,0.9982877878780038,0.9540208744273458,0.9066642610649688,0.9719827171925799,1.1658022557963779,1.3199467069009154,1.4279947932669002,1.8860440988869203,1.4336991417543077,1.3728186606149797,1.6747825542041945,1.9117189977869546,1.6954649280230052,1.9307455679211485,1.4106974011273565,2.110728283160981,1.598582166084412,1.5413145534606632,1.7382653146171612,1.6361951546574507,1.5740757852646328,1.3124739704361008,1.237027520172869,0.9720416785070468,0.9993899609321046,1.0198083592709193,0.960885988641561,0.9849512288773713,0.8797640434023443,0.9446746264323287,0.9523479773889899,1.0775502981924912,1.2919443547888183,0.9501350494059426,1.0954409396436213,0.9041516589161777,1.1006045961685642,0.9360455955030482,0.8923761835199424,0.9343528441659907,1.012840543584893,1.1563565317989812,1.9116592412100504,1.537351117613422,1.268779316210018,1.012118733252977,1.0110679419700175,0.9189801654545473,1.0716484801653636,0.9096170824134013,0.8904488185950774,0.915494277983081,1.0339600703490268,0.9314122631576331,0.811286810225102,0.7980126431365291,0.8186939920549974,0.8449739150597366,0.806489559790308,0.8009682466595299,0.8696473774744689,0.8527376833206578,0.9250021736756213,0.8834118711171675,0.9699836208659408,1.025724598515989,1.021810695893259,1.0574653354690007,1.1089566520921152,1.0122747416847993,1.0264338151948336,0.9691406079180402,0.8822154212754688,0.8377782239268483,0.8088401516265602,0.7877500610376102,0.7963668291978558,0.8221207642542862,0.792414284167106,0.8787567891070738,0.7718898174315764,0.797502801969687,0.8180891188611632,0.8154033686799451,0.7219613035478671,0.738564214697416,0.7739857031487783,0.953595732601593,0.9133658173132152,1.0012588684838861,1.038523040243668,1.1324905677840102,1.1681808313586668,1.1433934766896694,1.0944018672505609,1.0785556392355302,0.9909782979281855,1.0106751232833668,0.9547387095400514,0.7589302876203159,0.8049371732299971,0.8255269831346052,1.1205995780603755,0.8569641019980685,0.8236567953315719,0.8556067769879325,0.8158736998742995,0.8121930637904348,0.8139620766402655,0.8368461254781631,0.8510606804706525,0.889278945366852,0.8544499626192557,0.948086513653973,1.2091038872875768,1.0469652918952876,0.8570345251703446,0.8336089536110567,0.8780153039395341,0.8283298687259661,0.9036136876216972,0.8728231441583975,0.8751261209654522,0.881410917511147,0.9261481583178895,1.1302222377890327,1.0205862413595952,1.2342861296377388,1.4884933065238308,1.3345325660461953,1.1538646046238474,1.0458547679828265,0.9353455906558283,0.9797983562899922,0.9440998852480469,0.9276819484742846,0.9369467680851333,0.9219660016716746,0.9690471091912616,0.9479878240039467,1.0174414941828576,1.1467101552057444,1.0054409922592804,1.0884423043124747,1.188276999142786,1.1061937583059038,1.1421117972303991,1.109306546834291,1.6317292075498406,1.8063221497036184,1.9608214663394614,1.783127639413032,1.4636035919961403,1.5654704443261422,1.3640631823932612,1.3017729689304178,1.4711944324489619,1.3203847909557709,1.3137868928145828,1.2448257219559473,1.226603303579067,1.1777174344961365,1.1035059907427534,1.0663621468603877,1.090923743051459,1.0962338621466665,1.0308683914179093,1.036179226670274,1.1002494258989894,1.0976634922881376,1.105779481864856,1.2005839174013853,1.2471285745386802,1.2382996828737194,1.4155539196744762,1.5320048274728284,1.5313346527593323,1.4694786115112837,1.3627507884372725,1.2084517908817507,1.2783103837297487,1.373502336883466,1.8115801044257127,1.4674543854111524,1.4468560576506027,1.3119652530734358,1.284247140017847,1.2561676236584378,1.3740351587751796,1.410934964525244,1.2755696847554965,1.4563174775656968,1.667746754656981,1.5520866610505375,1.4518423364112927,1.5559348994545965,1.7653478421200361,1.55343852910043,1.4842076461329727,1.315866644442312,1.353832699841034,1.3456191803294215,1.235418679762218,1.2775198562647756,1.2265585184743086,1.202682994467789,1.186792614625801,1.2661246303947302,1.147005901415279,1.1128674548266957,1.0792489062334623,1.0838567077390744,1.0516588725522589,1.0840198898827347,1.140394219722794,1.155264400482341,1.2596498873763375,1.2011831368927852,1.234131616290016,1.198605622162892,1.1495768565396594,1.1315750130300357,1.1706581123868682,1.1643858399957865,1.1261765630587697,1.1757014663058802,1.2056666427646072,1.1750423645927393,1.1699115285881736,1.3120765860434274,1.365788158773096,1.170798987557107,1.2905714829749066,1.465463504542131,1.489071409207899,1.3458424569441299,1.2117407519627594,1.6410761901715427,1.492084262333688,1.5070281911272743,1.3916624080324391,1.2029950126710662,1.2090115300113837,1.3664182512600787,1.1635667598348027,1.1146903118508469,0.9770650219658554,1.0647487087938998,1.0309347797389827,1.1024373158866339,0.9743226381590159,1.0272142639516924,1.039566299239167,1.0341210144380417,1.0675187529921903,1.0522529529051603,0.987690239541657,0.9907568700571598,1.0713366820427828,0.950516952966773,1.2727363292959997,1.2082268809219558,1.4613255484295387,2.2774085559152013,3.6962275818340364],[0.9461276546804189,0.8580257954083177,0.8576914326503726,0.6816814500271953,0.7647750323383754,0.7845100468874074,0.7215520718449573,0.7406032042662204,0.7094250306018929,0.6830555197487119,0.6762964522369486,0.7759371215903068,0.724638530716787,0.672359123660169,0.7123221198644781,0.7527813089183311,0.7904959421679674,0.7990509128098735,0.8305242728293991,0.9317077320595659,1.0053482440487727,0.9779020967208497,1.2905083623687323,1.410876644954844,1.540768686763126,1.0668244589249019,0.8998916389953022,0.8089273739945849,0.8131763798129179,0.7764083437111589,0.8041995279197772,0.7679255019227362,0.7669706880879075,0.8153607690435835,0.855042922452888,0.8448249699152334,0.8774876772820129,0.8543513483323945,0.891172689022083,0.9906070470061894,0.960749253685934,0.9219828882085895,0.9799408374844778,1.1562179084693391,1.3074698747628815,1.4222491762552119,1.8372379645073664,1.3785467130607927,1.3471849885696572,1.6386766428723998,1.8602308174193656,1.6890377579517952,1.8821315547594077,1.3909034436699443,2.1051346749214095,1.5991289722594078,1.537046389211681,1.7462404836459073,1.6534853508113798,1.5819325935748543,1.342972521024997,1.270987867207335,0.9896304603140548,1.0089934443403945,1.0384087994049762,0.9811723091374476,0.9864113253391689,0.8761243955612192,0.9523905604732285,0.9109541829736759,1.0375040471256212,1.2350625462589495,0.910274773866522,1.0840345440526156,0.8772937400196258,1.0680724145512122,0.9367017219744443,0.8846924212923204,0.932202269391175,1.0320501612905764,1.156488410328129,1.8762792935427086,1.5026418053973765,1.2261879827636768,0.9917327816441829,1.0040169057214043,0.9179269059341472,1.067324068319358,0.9016176691275085,0.8713654786856864,0.891208162993254,0.9776052474805896,0.8754289688430169,0.7570329808137258,0.7335456358801256,0.7456011156033409,0.7922350547898575,0.7385779610923892,0.7158404292927595,0.7838959425034705,0.7793826587300656,0.8238360603346833,0.8004008737650018,0.8718094284328313,0.9237164186988132,0.9155410248645004,0.935422376992937,1.0055413256504622,0.868827362004345,0.8763492605076535,0.835540286686196,0.7884304413626362,0.7433316292965387,0.7531179247619184,0.7578496729763263,0.7827993985402979,0.8177427026417393,0.7984092842298353,0.887807256834228,0.762408959973274,0.7843887516544263,0.7883390529574665,0.7819068375527521,0.6910326082085987,0.6601898143770166,0.7142267457058291,0.8689487895274616,0.8259250867100101,0.88919562038756,0.9446099924881401,1.032194155711331,1.0565627991627535,1.0776428856721458,1.018290702300433,1.0290214391924393,0.9273425576519955,0.9498941036805421,0.9092511877706524,0.7544864666114529,0.8050947385505106,0.8570466400205976,1.16138733194581,0.8706863984636913,0.8296749365909513,0.8596366398566914,0.8037436368339419,0.7914942222652162,0.7723072632935375,0.7701111876674117,0.7631943021207127,0.7807691291745552,0.7393740718924618,0.8375110124180146,1.1278514365169832,0.947733337168322,0.7433735025169272,0.7416459136203236,0.7736463621461113,0.7498546912167235,0.8229975838502217,0.8186297528745602,0.850760515207964,0.8695153536914951,0.9109653805020882,1.1057855624857287,1.0381462387323903,1.2222788426853586,1.4755656075976686,1.3411061655792678,1.1688192672680247,1.041426355407378,0.9149157108044691,0.9583522809222028,0.9098637927151745,0.8849507230171713,0.8658816005046068,0.8664675206374662,0.8943362890325491,0.8960373727773419,0.9510163346128309,1.1195983119783521,0.9288582259211365,1.028838079673102,1.1341126381968452,1.069848206960649,1.1064550065698837,1.0999169972987901,1.621418813299549,1.8260651220226902,1.9649222439078238,1.7624870285328824,1.4258465802162326,1.555033123167482,1.3460700968964345,1.2497085563434511,1.3975452758780464,1.2252899069250711,1.1756108053351946,1.0558584459006113,1.0530674272603087,0.9436204808510749,0.8777423543638836,0.8638047102705426,0.8446235444504414,0.8390299834196769,0.8146251666696395,0.8431023007025824,0.8890027673041173,0.8719557639649511,0.9404126533101214,1.0549130962859463,1.0834474450596834,1.0801502774031764,1.2935940761452975,1.4355843789347564,1.4573978507581895,1.289455463487677,1.226620921851824,1.0273933041042715,1.0799599763947672,1.1524347356985898,1.499617939330152,1.253789840902545,1.1713141758195496,1.0426145930988135,1.0011840157972292,0.9774670260843549,1.0888873442037086,1.1338408542522906,1.0082781537111518,1.1778527318643053,1.4007332675319524,1.2726472916958786,1.18951384294432,1.3545168368587668,1.5304928689502473,1.289511407416458,1.3270483348236597,1.081391110694298,1.1704059616552696,1.1205272526725745,0.9874881702855505,1.0550378667010072,0.9772673116741828,0.9993753146414033,0.9782636850401146,1.029833290261863,0.9106263914076104,0.902000896650784,0.8335386469861333,0.8368081698117138,0.8442768871467079,0.8790856523029843,0.9033017891234718,0.9441653895288566,1.0960725340554174,1.0174826793098835,1.0304182953324734,0.9807482179902965,0.8944395888134647,0.8705527238127155,0.8932809162272234,0.9052115447237279,0.8675695944445394,0.9037910172873521,0.9341866917388694,0.9244266988484836,0.887450972986369,1.0300542961704915,1.124124052869131,0.913930850114234,1.0233752468406399,1.1974444904881345,1.2586741366327845,1.1230816690882788,1.0266046959779973,1.6300390608025224,1.6165042065045279,1.430775875148842,1.3712335855921174,1.0990116814103965,1.1359881167383352,1.3925982053311203,1.1353923919409636,1.0527093954877886,0.7560433516044276,0.812629419720153,0.8408536172859598,0.9239433992582865,0.8400049683301062,0.8538645722583091,0.8610408886884481,0.831546091997122,0.910827580818971,0.8988286512846568,0.8305826485949396,0.8388350720328892,0.9529723144854044,0.8129519940247639,1.1785011231200406,1.1176643827103034,1.3623939706936212,2.00223246576282,3.3061231958417236],[1.4461794285131464,1.3286581630144558,1.2646904867466038,1.053308557117831,1.0449679961531024,1.0732787450458539,0.9568403461502974,0.9907731278841848,0.9242026993689668,0.8399943513887451,0.8359039829491611,0.9593412101419831,0.8522966690770505,0.7814588971590599,0.8152355573672837,0.8692909390301784,0.8932985209945044,0.8880496680448055,0.9044502348701232,1.0275938967686515,1.1031051402314274,1.0668429787718023,1.4013432572697135,1.5567637653435136,1.6446998960172556,1.1326504110535662,0.9898341590588965,0.899029978847274,0.9142893063850046,0.8947719730858915,0.8972975306349089,0.9066234731026372,0.9112684124847705,0.9372852040197871,0.9789780361090104,0.9588956493078258,1.0072360662845057,0.9809126824340947,1.0172148031351838,1.1412193338473045,1.0937320557953512,1.0420225016961098,1.11520973396217,1.254702382620182,1.401788518452406,1.4998179785873635,1.8692284920853417,1.4710076090620872,1.419524065605191,1.7135387325849933,1.9481236245469495,1.773783368752235,1.9405562537436736,1.5675444426229121,2.2284363631977513,1.7841188414516764,1.7337447696458586,1.9255206017932027,1.7944289437854473,1.7228272380437117,1.46376583949387,1.3907606447384782,1.1140579554562413,1.138292734748424,1.1594497826628867,1.0894926650571317,1.0648365822942518,0.960395726822591,1.008731955106152,0.9671355094355163,1.0745179857420573,1.2503773857901663,0.9631163418240277,1.1515054860725151,0.9387030516446243,1.1086180804363963,1.0589175616476354,1.0117147114023615,1.0688818453750841,1.1815106532045527,1.3217683060821273,1.8398083123304527,1.501481810325626,1.3348638799606476,1.1202812552152428,1.1458632471701597,1.0649271135709215,1.2117309718122433,1.0212473612594386,0.9975578631593306,1.0008198770308192,1.043653112511355,0.9564230319820342,0.8780753574953005,0.8558300816023054,0.8608035263205055,0.901712861786393,0.9014912819716976,0.9073364255827528,1.0105468983310344,0.9777663790860853,1.0464598314627354,0.9833955308248784,1.0852922087015149,1.1088823595908597,1.1164970437619217,1.1484008704670017,1.2110173417293064,1.1180484147040648,1.1286734471311641,1.0935850720185367,0.9783540794692206,0.9515095355329729,0.8922707978064909,0.8721534338713243,0.8664259393266475,0.8892499658992393,0.8753225814480451,0.9651455169205567,0.8407374680941355,0.8533181755448563,0.8480857134389465,0.8241007065618133,0.7889449347474741,0.8144170558549065,0.8547531612724278,1.0780890634663576,0.9958392140844688,1.0920336845322556,1.1331892550590361,1.210234063550407,1.2567463626150082,1.2544509917329076,1.2047394264879918,1.1802673497545733,1.0298883986396916,1.0389211539322452,0.9664229224859439,0.8403768419868156,0.9082519985475399,0.9628876295204122,1.2618646725940676,0.9759706893212916,0.9296218141210445,0.9734676239937341,0.911841952167978,0.8913119891833793,0.9074417680510528,0.9301911066838382,0.9492392557422739,1.028842932184588,0.9979223966051777,1.136401388950402,1.3936762804327723,1.1801656849730229,1.0039903670062005,0.9587064494796874,1.0089465946077467,0.9215215736548672,0.997062617273275,0.957029333780993,0.9711635138201391,0.9782905053389269,1.0357819445733552,1.2068231361495407,1.1520598801028008,1.3101102644642462,1.5371826018038386,1.3864338004877974,1.2377992104505289,1.138178064334141,1.0119467976556893,1.082528543021617,1.0493731933753414,1.0366884730387929,1.0326798498464385,1.0230867846070013,1.0519992804972846,1.0570246873187479,1.1275838297301666,1.2005878653089677,1.0882084045732958,1.2165662559433463,1.3400636473637433,1.260968391471312,1.2878660396252506,1.2409527206213649,1.7526933190157157,1.8369835459417028,2.0364874550571064,1.863874254652601,1.5419226208186998,1.6384055193900418,1.4624073717063466,1.4170948019689509,1.5667088203393558,1.3848990342221978,1.3860689720801693,1.313909008621425,1.298472777904825,1.293939325398267,1.2597058330006023,1.2269775995396894,1.2770297939421322,1.3147246759647764,1.3017566332387223,1.3300929532626398,1.4219981068622503,1.412530767704936,1.4463419963672557,1.5780981447429847,1.6318693638645496,1.58623506530107,1.7329113847192834,1.9092001926516633,1.9158847656377946,1.8342131558896306,1.8222101165201139,1.6207873432243627,1.6555896835839223,1.6634911295689343,2.004039882525014,1.6299619231020697,1.5479226147694536,1.4453002570870863,1.4117788366629767,1.3669710748064483,1.4527521759129296,1.5015169003294524,1.3768677196791248,1.5088168319120219,1.6911293578998614,1.5683874357830891,1.4977502654753874,1.6015178579472207,1.7933089036544194,1.5859128453441493,1.532001322456701,1.3899206461219864,1.4111908595230158,1.4297107303229541,1.3368294516480963,1.3892590021532296,1.368399182331667,1.3402462727676647,1.3390808680324455,1.4349464265805993,1.3471310520143709,1.287165250180966,1.3055715960949499,1.3457498139353827,1.3125317154878637,1.3729537611515632,1.4475405611788499,1.4774376139408965,1.539184607631064,1.5690878461350362,1.5838802261187956,1.541872517797544,1.4543037185422658,1.3846086869112926,1.3985862472810748,1.4624166837054604,1.4255991195146374,1.388852216271073,1.4484721418836646,1.4653830682498594,1.370332375884843,1.4415622000236634,1.552004482211457,1.4435960791502045,1.4133091850660748,1.525979730945028,1.6056330467564153,1.5670730776478046,1.5949443523403952,2.067828699172699,2.0898091075880894,1.991811140649964,1.838100781054534,1.6013589807831956,1.5459033237412145,1.6815283291777459,1.491849855962927,1.5008774048045825,1.21515322640923,1.2711159813672532,1.1686467306189559,1.192103828009703,1.0901323628028392,1.210245262638158,1.219632268842196,1.256532324418046,1.2948386688815585,1.2305793155887248,1.3073355198727894,1.3220085714004117,1.242097804101609,1.2555507159190233,1.6018482616620495,1.5975305012167695,1.7871358772481676,2.3681491562087746,3.737784374032066],[1.6312215897693798,1.5559549263856072,1.4903829019090375,1.3803499049705041,1.2999597374471097,1.30988801871497,1.218132879409371,1.2236673693311049,1.1954277335036114,1.1299594071133168,1.1317382842145902,1.1928548440255544,1.1053921340802273,1.0665123622625463,1.0725239840019478,1.0981965675136411,1.118843444843583,1.1011084780225413,1.0836821142751591,1.172970267897782,1.2241781643580616,1.1766137497024485,1.449704639039403,1.6209160662389812,1.6793069170808788,1.2341603894094786,1.1174690036231663,1.0757093145278427,1.107052635714486,1.0960467672763632,1.1120718086247363,1.1130190820229817,1.1139337906254574,1.123241747744763,1.1541157521868106,1.1360490557124514,1.1627727298848523,1.1189284367781853,1.1343438030148714,1.21420244922625,1.1744484858855297,1.1454868154010238,1.2022838025387532,1.3113905136156985,1.4358406637066699,1.5363852966930762,1.8570386909817749,1.4730896141218832,1.4552266692340265,1.6911903018035137,1.94611864019318,1.7959038034631352,1.9128662313237539,1.5841138651775255,2.249538767125274,1.8147684357600338,1.76505104637639,1.986538439567206,1.875130794454548,1.7603887920675292,1.5271053722107146,1.5016474636601642,1.2411353749764134,1.2453073529771639,1.2559749725907334,1.2163429096250815,1.2030622131846775,1.1395590892878507,1.2035020358896824,1.1766027490630375,1.2655691792213013,1.4029809156325823,1.1764544251709963,1.2873171853261727,1.1239796181398303,1.2343976936628513,1.2180053396724257,1.1823946352876054,1.2180656421832055,1.3071915250345985,1.4143259291966521,1.8900739146275878,1.5638065888293133,1.392296220481737,1.2056560508503673,1.2614603002643696,1.1890297721137197,1.328344795854734,1.1719917326190652,1.1626369873432478,1.183628498364838,1.2223881243736714,1.1436856701796143,1.0997938337438349,1.0894743530861672,1.103114581588864,1.1433802454113104,1.1243661662406639,1.138598858586343,1.2451927689501758,1.158210851636122,1.1977259539932972,1.1260660736576988,1.1806419972668256,1.1704587066227272,1.1961670511858018,1.179519533569207,1.2311065681512299,1.1658615785697566,1.2021342524792227,1.2182871282344259,1.1383155338206783,1.1598246461911061,1.1124310256383818,1.1196877009090016,1.102680583440628,1.0928504720704995,1.0642738634082811,1.137581570657694,1.055113541074055,1.0901044134059859,1.1193326310613112,1.1006447390060243,1.0722221447600155,1.0929688073398003,1.0871064192705713,1.2853829575307025,1.1580539233604994,1.1976251595355127,1.2005489854753386,1.2500581476181938,1.2518756283980452,1.2735634927890915,1.2342786748335481,1.240309226888565,1.1206994393002419,1.1472775296361892,1.0977665165811237,1.047712858740523,1.084098534013826,1.0947495992042247,1.3370812823892968,1.0930565890247388,1.0736533851797623,1.0995153832677464,1.0776160448391354,1.0741240410873403,1.1024388113851438,1.1076015776807417,1.157319662688071,1.200378406728752,1.2009180366518912,1.3060651116392394,1.4940645225580325,1.3399763834153355,1.1954723538738559,1.157473707635379,1.1775970385913155,1.1130074421474132,1.1429461808459187,1.101466535387282,1.1224056900078796,1.112775738817853,1.144566778430198,1.2867344699141494,1.2350329598228937,1.3581974649452504,1.5631383514732629,1.44417943408362,1.3033506259160992,1.2138207686266178,1.1218308527250043,1.1718952991660285,1.1419644420558206,1.1392440479894916,1.1328495790359265,1.1692308387371764,1.153697334762171,1.1534053153861914,1.1992583813423214,1.2739411607552251,1.1609703210644824,1.2522159054612343,1.366181742465012,1.2968283004364818,1.320781817927253,1.2969367478916864,1.8156037562202358,1.8788724277775366,2.036160277451714,1.8355261539804897,1.562699899809603,1.653319640941848,1.5008266972427464,1.4341908669757046,1.5541914721333212,1.3788695544449967,1.3456554359596826,1.270852879265366,1.2984453452818496,1.2278413178441903,1.2478152910080031,1.279646590341374,1.2821375017849501,1.2829186183493109,1.3495723636235406,1.4366003591890015,1.4372138685072042,1.4093888895994344,1.5517059778610471,1.660758756559262,1.639839934422901,1.6639637667285756,1.866767935134943,1.9790728627994518,1.984312696490448,1.7737610486634772,1.780758419397087,1.5781900565127014,1.5589660031159367,1.4689941496251033,1.8043897775848812,1.4600415822440937,1.3939336595110248,1.2612048706832708,1.2209007376932,1.1917363968430086,1.2804566156076413,1.3123897090457848,1.21436206874285,1.3470463837170512,1.5263805023743142,1.3820635032120916,1.3449048855767056,1.48802227479278,1.661980300280609,1.4118357549150395,1.4575456846813317,1.2759065338312743,1.3608375027533446,1.3211673765196097,1.2279341557618906,1.318502800220987,1.2652177645281373,1.2915952082293358,1.2893352705803556,1.3823810944983244,1.3090318814511428,1.2905505821406706,1.2851098555673912,1.3258978973043198,1.3406855569305525,1.409881144303221,1.3902062055559419,1.4432517657678514,1.5763412874883922,1.5486583890541938,1.5248453140439884,1.473226688816986,1.3551024807631311,1.2774806702895238,1.2603473507796523,1.3178816378414764,1.3463583136541981,1.2564435614968121,1.2711704275545355,1.3428605942379335,1.242089461438672,1.2415891384599076,1.3804815843168905,1.3201083988638582,1.2174682015528855,1.3210138581243338,1.410372823551846,1.4407508157434583,1.644956703350099,2.1266492249203113,2.2692298772311936,1.9868321202063999,1.9817815572147215,1.738281873071097,1.731632596508277,1.9262686948418295,1.7793434326642001,1.8458215850862156,1.4516402112668945,1.3046220558882882,1.2994868309710623,1.2679199014954639,1.2486162185397511,1.360559299219032,1.3148181586814405,1.3094214614703164,1.4083192396174777,1.3865294281906966,1.4403423910505475,1.4516348526706562,1.437348528000543,1.4518389486979821,1.6916530847414084,1.6751504655444638,1.8231956587367337,2.305998879232962,3.4888882077552323],[1.0464394753662387,0.9900237982445308,1.0340615409793028,0.7895172075373831,0.9172065951625554,0.9283552507680595,0.8711830131236468,0.9207386821558775,0.8728566595291583,0.8610642307554096,0.8547967882229448,0.9047903526338501,0.9489512800312353,0.8713728331590499,0.9407750242873392,1.015362913052339,1.0666734063085794,1.1078208489954207,1.1456574496039162,1.2732067229522512,1.344759816594076,1.2930982439303007,1.5882230781222826,1.7509621214222522,1.7959867131949563,1.3492500711327793,1.2247679802865086,1.1292588734078652,1.1242968991136006,1.055791167248853,1.083619943102643,1.0259165792611877,1.0317496546318663,1.097558682933745,1.1319782335627466,1.1492250034649087,1.137642083242475,1.16718289409101,1.2105101055174712,1.293822441370782,1.281112496440958,1.2550707650925321,1.3243151475600263,1.4290093448430463,1.5354776124542064,1.614999344092644,1.9267453806025419,1.610260069761438,1.5792720424659457,1.8270086842659805,2.0716707981563607,1.921691409945442,2.050056475104826,1.729171830094655,2.2789177613591147,1.8920993843003364,1.9481327373922617,2.110745431078101,1.9267103018807572,1.907733299372622,1.6799343677470446,1.6013813546072462,1.3578288486164893,1.3881969820467572,1.384438589343565,1.326898499399232,1.3017462639346826,1.2138868406889058,1.2240725138368431,1.1754451842637346,1.284767253556618,1.4920642440723946,1.1892381494295565,1.3737858122778805,1.17238087796981,1.3132152273102624,1.3101999038892973,1.2569292354405839,1.295894134485746,1.4033175218686718,1.5261259765103206,1.775869246181406,1.4381004499167525,1.3609272847081786,1.2435521906272757,1.268814217621697,1.244638587265669,1.3743398484940823,1.2484613691294035,1.2021785123514306,1.223519344570504,1.262647849082015,1.16631582070882,1.0473808276069698,1.0010671771921131,0.9729952486462173,0.9974141428851161,0.9850783803205481,0.9423663197323121,0.9968046137902945,1.0245770731498116,1.0192633606831136,1.033069974644057,1.0906643854038562,1.1154978376786349,1.104558956342589,1.0873673051211228,1.1498208468092084,1.0256954123242477,1.0276601179706222,0.9947930878815195,0.983200725986177,0.9342042521516937,0.9445182649285379,0.9861025697621022,1.0402405375321035,1.0874793906897662,1.124077331026632,1.2167275366326578,1.0808492764320086,1.0512435980351271,1.0304660473933458,1.0119112329310316,0.8861488346162707,0.8103399626594128,0.8748377880267777,1.0134973423522116,0.9784703783748908,1.027936561865195,1.1070762639286582,1.148364914245438,1.1682214228298518,1.2067126971918514,1.1782118551328753,1.2167628064039995,1.0554939995297692,1.0602897489151495,1.010752936490215,0.9946801753625213,1.086916693324726,1.2118454432839505,1.4352341060446328,1.2084640999320617,1.1577508352302563,1.1737921248134822,1.096292281743991,1.0648303947112068,1.0282687726407638,1.006631074609144,0.9788064153798761,0.9668947680269269,0.9324644213871481,0.9929036857120299,1.2375640720335166,1.0788174953864456,0.9514644004842552,0.9512910346370049,0.9868975831612711,0.9644958587257743,1.0026243187488264,1.0459603536252138,1.1072498288093493,1.1398931956739742,1.179653508012038,1.3129990568611192,1.3303385409930555,1.3817952439192487,1.5832058711257089,1.4240968620030157,1.3131984093480065,1.214026636258829,1.1427768807881813,1.1781141567379425,1.1587263049967909,1.148240127145496,1.1037231839721071,1.117062811595524,1.1338807232957733,1.1699670727339555,1.1804675623044578,1.2900410375049336,1.1389834592111978,1.2464935050692503,1.3311950290986567,1.2985385951805426,1.356746709833392,1.3397182824443927,1.7780702557129284,1.8867355314957748,2.050903577137282,1.9052565654064624,1.641665606380757,1.692321467002533,1.451533680135039,1.3524015529405589,1.4692089926689391,1.3125309280018396,1.26075387768528,1.1274109007865059,1.1506706603873116,1.0933913897428966,1.05542501311627,1.0340549384835895,1.0458113312974913,1.0686902274936254,1.0285348620026478,1.0723785830051569,1.143938959641739,1.1004411966461916,1.1316224087380047,1.2607003971486064,1.271354773120391,1.225620288706028,1.4164483060762771,1.5877473011647216,1.6685763249138292,1.4692964902889096,1.5420998020584706,1.354254612751236,1.383405448194162,1.422846507656228,1.6977309538527028,1.5469991805963847,1.3828869330927362,1.240779361271947,1.2103778856624903,1.1687437556926206,1.2729579202519552,1.3066448739920709,1.2202146669348488,1.2940233377709747,1.4698008174095207,1.3260469725974493,1.2755573290659799,1.4900873132154568,1.5613394624751826,1.4262206417007546,1.3373713500695537,1.1930217526112938,1.29737437682188,1.2326417395214582,1.1475843224587499,1.239075574475387,1.1896187870544397,1.215763888651254,1.1848175448304696,1.2810790735422861,1.173107344004256,1.1347335725437957,1.0647900191084696,1.0576224719190115,1.051588691656763,1.08807678796411,1.1262160480929684,1.128756553402638,1.242926462682317,1.221104063527343,1.2572834080182735,1.2336893041819303,1.144765665065724,1.1061922381379514,1.1612116070564489,1.1855121182489536,1.1421953006187107,1.166017503979572,1.2171057527044362,1.2275468681354806,1.1462663197188339,1.2614075686573605,1.3801680055361505,1.2452996017493363,1.2372506707550324,1.4301970659047125,1.503592346722159,1.4700362310840378,1.456271324204568,2.117870107604918,2.047080591082243,1.7924637272769244,1.5948049693951267,1.367371390147708,1.3075775212541039,1.5402187497051423,1.412675221855865,1.4733781833894757,1.2108922309374202,1.0639356441365904,0.9815367373357794,1.049615528338508,0.9815228315692384,1.0064243933718557,1.0068853460086329,1.0064601145422822,1.10020891230986,1.0138172134962917,1.016642060524483,1.0043900477225027,1.0764930760958167,0.9342547028724463,1.278181417273809,1.1965807488603775,1.4497340304850672,2.007914672871233,3.199967737775908],[1.0659953704010752,1.0462616354782805,1.1110484665922296,0.8295500681799985,0.9402203370166328,0.9452325531148703,0.8572436903568739,0.8942208663270639,0.8538480461194082,0.7912862198909988,0.7814828732978528,0.8569980936900341,0.8403287154097634,0.771557144169234,0.8268670207356033,0.8885042361551173,0.9271544897964796,0.946603966550366,0.9756874941731626,1.077940111948066,1.159588209903553,1.0895836847809812,1.4232622773287338,1.6104718608380744,1.6696470820660856,1.1776253273451838,1.0328815262192677,0.9487287901843162,0.9422769656468765,0.8830693134385293,0.9373387062230645,0.8688455624745515,0.8714971345361958,0.9226272783349855,0.954326465824042,0.9650180787478384,0.9602657179245266,0.9687983276341899,0.9987924186153445,1.0738380875463949,1.0694379717000917,1.0503266325072274,1.0944109754574023,1.2118005017951632,1.363999740875605,1.4654943327290593,1.7870468540141244,1.376784043794904,1.3553851602083995,1.5940937387662617,1.8352553495158086,1.6925678945045153,1.8332317328429253,1.4592034276582155,2.120004854623454,1.6663183850565115,1.6522066542090825,1.8594294099513917,1.7234053905353954,1.660209312486265,1.4505413882781704,1.4033342462244989,1.1263745945943724,1.171773948559293,1.1723061286366354,1.1121584548840302,1.1220999393577962,1.023665588051057,1.0760221367858116,1.0451987946421013,1.1704347593384894,1.342510338346375,1.0560363090774068,1.2062905499579162,1.007303867823736,1.134433824444686,1.0952831695944174,1.0361274770713258,1.0684611356919327,1.1584042525020797,1.2645052844313305,1.8435012164958329,1.4598667621530774,1.2548045526830902,1.0264130607377742,1.0662017627902856,1.0274184539533286,1.152346718653971,1.028435822246096,0.9923897539192604,1.0360219469473162,1.097496410543787,1.014559076471225,0.9041112722136934,0.8782230030474688,0.8736720599164257,0.9164918601990143,0.8694605145166462,0.8347645602992244,0.8949414122537481,0.8818435373672713,0.8965226847326825,0.8683439877498019,0.9300438467908816,0.9264201691099329,0.942914166084206,0.9280870030953308,0.9738954174899592,0.9065424290160647,0.9128023734481738,0.9260177068562477,0.8547567921057293,0.8541804680616194,0.8266017742966212,0.8647908301233161,0.9054246319903209,0.9432988893839129,0.9464395517013373,1.02508889859087,0.9127198760410509,0.9104448303158725,0.9005193625973118,0.8816712069366875,0.7817803396482952,0.7421189948722994,0.7875568307049489,0.9557129138020921,0.8795830229493365,0.9321235990783264,0.9502159062527227,0.9902792081500164,0.9660196459808408,0.9896022065589247,0.962398845242,1.004700092253015,0.9265672268769695,0.9432416001996806,0.9280935380480355,0.8516835263496323,0.9314632781244301,1.0225912673632147,1.2904147244918847,1.015732491254016,0.9668037447773038,0.982382866163759,0.913002998753856,0.8950234236292217,0.871656745748866,0.8579074747481928,0.8765730727957056,0.8851424494666958,0.8723356659938579,0.9360588579609767,1.232078236759984,1.0332250340803881,0.8514803991608041,0.844017888333989,0.8644072892167216,0.824749404325311,0.8684002251060334,0.8708197427867371,0.917506875138464,0.9545898275961511,0.9826361024503483,1.152388496730712,1.1274895169803738,1.2364295129092522,1.4844257636099714,1.356252229285597,1.2211678014728422,1.0553191383344223,0.9717910159912007,0.9855114103454266,0.9432611614648441,0.9298370722716841,0.89978157644828,0.9330504163972847,0.9430561321134979,0.9416037865264099,0.9624069683495025,1.1107020707971098,0.9283723425596148,1.0057768180897322,1.116391651342168,1.0916891501632555,1.1389305308891233,1.149998284024845,1.6448715531156217,1.8222891265761962,1.9842169643586205,1.727407341590835,1.4360444092169962,1.5511232133658028,1.32630953506305,1.1600128236131475,1.2612805439966146,1.099355585586946,1.0690687688542946,0.9844283236161433,1.0600334333684711,0.9922784192990286,0.9784803166570499,0.9837123524580726,1.0115291005829345,1.020403888657278,1.0341092943629038,1.136755258288472,1.1616002133306544,1.1066074172683964,1.1911422406929708,1.3269288742729473,1.3114120381229162,1.274594835419116,1.4671705031888247,1.6275881463325255,1.7195631387993386,1.471960053187018,1.505431484304227,1.3391989644548479,1.3361050786408586,1.3287189893932343,1.6370206175748414,1.4277926590022108,1.272304058343344,1.1007657498178505,1.0590535191228108,1.0268399135424207,1.0844338699259555,1.1203358362821174,1.0969708491115338,1.1121030897342303,1.2308788942194884,1.1399600856519894,1.0787840970517788,1.27879195750132,1.334986864622813,1.2294647836365384,1.2039114501547643,1.0254704647930948,1.1354289856564015,1.040934915721017,1.012568057980053,1.093896580811788,1.043953332565617,1.1075117673285184,1.0826108391519627,1.194512641967585,1.1014905747759716,1.0948798623341396,1.0251084682271494,1.0246383551355611,1.0579821879846512,1.0945172207918574,1.1020241962293207,1.120580830402714,1.273340574688396,1.2254878540844385,1.2344065167301073,1.2029299621838268,1.0973838134336893,1.0524647698141503,1.0599644432160409,1.1098431866597234,1.1037541779660793,1.066276778851731,1.1083815943893238,1.1608165344580603,1.0593739986447168,1.1139290156473904,1.2585984022241228,1.1618206478659474,1.0985039439715383,1.232247981694065,1.3637918511837566,1.3481040515297305,1.4341811386560628,1.98983344586292,2.0710449628581644,1.7504738705261216,1.670753426742875,1.4603134719163813,1.4303322662446598,1.7186459320670042,1.6084683066597105,1.6147945866208206,1.3427232915710194,1.0815910406821367,1.0041748240699218,0.9897173935011622,0.945110402413235,1.0274217564696497,0.978976110642839,0.9685835666324032,1.064142533430623,1.0218563405058438,1.0250916199051778,1.0041616692677107,1.0856116320966538,0.9625730385231221,1.290990525750072,1.1939690344348997,1.517803141644171,2.063243343416905,3.1298363240326608],[0.8536199845839243,0.8331019458275738,0.9102953296555575,0.6512138819890074,0.7488440651397372,0.790179534707128,0.7115595553695571,0.7335863354342107,0.7118030099666417,0.6786734742488757,0.6664827400858468,0.7420018621859472,0.7134005214049395,0.6650600994056148,0.7132606702855444,0.7557978126123814,0.7960517413449242,0.8146419774192728,0.8465409248676453,0.9295145231022749,1.004970498134961,0.942109141388886,1.2737058217952835,1.3957958311629146,1.534990292670747,1.0662920192150578,0.8796246871065347,0.8056712330503005,0.796770414911017,0.7316631744187292,0.8054057529172837,0.7161691102621894,0.7271168492388398,0.760366184861291,0.7840455764024118,0.7991575844501017,0.7868903468612239,0.7964003878151683,0.8189214481746693,0.8792134440193257,0.8750499655779425,0.8630381375403937,0.9042215830813853,1.094778292374714,1.2682002696543282,1.3896076630231375,1.8068184288334581,1.3099270132117669,1.261654871315004,1.5449716874643058,1.750563913354328,1.6348310338936691,1.830242028933552,1.2791034137721127,1.9729316239499943,1.4656562693115152,1.428866376558204,1.644948024076816,1.534517015667818,1.495662308241824,1.3001295208432482,1.2181215587776146,0.9468761711452095,1.0017234847730954,1.0223513014369345,0.9465398603997769,1.0007791448163148,0.8891846941372529,0.976071825051235,0.9466360648207173,1.0875600573296467,1.2991037801316196,0.9559884386445986,1.1136213154181518,0.8967192722729004,1.0664599369513172,0.9172080945621232,0.8642752390643131,0.8823172701903805,0.9610525235805439,1.0738113930418622,1.8520063525059876,1.4389924956737332,1.1496318015838003,0.8590670372267988,0.8837512626894645,0.8375085291211651,0.9764294041657867,0.8487558389900627,0.8314712117459967,0.8762813756003242,0.9771685166157194,0.8974887581601837,0.7778361697839791,0.7543157631303675,0.7738401317225432,0.8110108072003367,0.7340498796653878,0.6985402326969963,0.7481924063483445,0.7263158351374432,0.7383344644866836,0.7163884514573093,0.7827858660808015,0.7651246395055821,0.7994809146746751,0.8001017701698351,0.8520351078436715,0.7564903416790069,0.7523354440824737,0.7489735303686331,0.6943631167063546,0.6975993487416795,0.6929036535382169,0.7481493824972665,0.7992582576093875,0.8308791571627003,0.8380251964274082,0.9183489458758908,0.7985396346789241,0.8221668816748484,0.8261739499978523,0.8173723078632639,0.696438226678248,0.6457539744500169,0.6669476352703629,0.8052749417330549,0.740741278083746,0.7602156608431601,0.7953379893406413,0.8324720248038983,0.8257882892386567,0.8476470648472018,0.8118220251849109,0.8380084842033189,0.7826620128369626,0.8005228698930611,0.7990680296901596,0.7161425407944797,0.7665225430884183,0.8725119044922126,1.1285818590933934,0.860670091972844,0.8155602352767846,0.8166682631540362,0.7663539793901063,0.7611828247908985,0.7315543518796099,0.7141257609277119,0.7414942840716868,0.7203308404721038,0.7154702740139988,0.7587365023367536,1.1133983802096168,0.9473279172715121,0.7025650470139381,0.7005977960241649,0.7064024665300156,0.6804948498837584,0.7230542268872353,0.7135750192675906,0.7592567432586632,0.787543559409527,0.8104425240533453,0.9969013084069671,0.9508628724698064,1.1172931659781056,1.4523269907241791,1.304264447966411,1.0763115402404062,0.8914031977682048,0.7904318699570825,0.8061580981945186,0.7642092520913133,0.7475114201783388,0.7383637457488781,0.7772733068149064,0.7736793432945225,0.755594510391788,0.7804224584723504,1.0149261225545045,0.7603322773586508,0.8389739866495205,0.9661957984071086,0.9214612514182655,0.9593627599753615,0.9787410440446793,1.46003433151437,1.7513044766162833,1.8918461158364772,1.6588589269390628,1.3134056024688598,1.4857996635784418,1.2431059249001724,1.0542718804684124,1.1794452022693354,0.9881618628072292,0.9540965867064375,0.8266237305231251,0.9089963901001948,0.8006087026518082,0.7676633601955668,0.7689572929897783,0.7634024946601983,0.7768588207157822,0.7808708184182361,0.8638523643549361,0.8841988810811394,0.8427568022423848,0.9402327408636498,1.0699754849488177,1.0634943997883928,1.053514227159711,1.267022292657561,1.41877509672475,1.5126807767023054,1.253648058642149,1.221123510671876,1.044440205931515,1.0704586988217732,1.0988580680517361,1.4507827074124444,1.2299502458425182,1.159619275883729,0.9664422470523697,0.9059954337736874,0.8651634487518989,0.9506597564494537,0.9941325406062804,0.9306234666474319,0.9856421231092265,1.1541800750091504,1.0594225032623354,0.9656057576106117,1.2123100173470815,1.2984701615293783,1.136102235132809,1.1660350051475676,0.8718671180113987,1.0126891033618428,0.9049499409974124,0.8406440701748287,0.9368179578478829,0.8640469719616016,0.922377593225713,0.8833523586113828,0.9665066458549969,0.8831035120650979,0.8963728186508974,0.7830015343119209,0.7756284183171669,0.8385727689202676,0.8544531563982027,0.8529248945046729,0.8953851918137009,1.0905732100094525,0.9854500243329792,0.9926025085241554,0.9477302571419931,0.8417462958050335,0.8064319835470168,0.8263792791208635,0.8708990322087821,0.8418319107502368,0.8369504250851314,0.8924242982389587,0.9232051420956524,0.8308541995315682,0.940153488699343,1.0925448766321217,0.9091099739216691,0.9313124749771252,1.0994646395158392,1.2092748850292647,1.1231539189977335,1.0970512218350092,1.717605663786538,1.7575332631988267,1.4472602880084429,1.3939882801096335,1.1721233397515305,1.2049490486250345,1.5350355168105765,1.288689104489794,1.1888910803831403,0.8946687729008829,0.7680199546343532,0.7492658786914785,0.7924262076258546,0.7452389453246759,0.7962267589056867,0.7697630393593043,0.7295191302162582,0.8687018619465883,0.8494350730242674,0.7777546894077662,0.7752744327178616,0.9635158307469868,0.7472939601079382,1.1366850000206032,0.9792036438951046,1.4826910743845534,2.0507945154849527,3.093937701574301],[0.9550237047534657,0.9566297992840123,1.0561164662123785,0.776753575609936,0.8500131231589593,0.8531544543977997,0.7192375906839613,0.7222881986374947,0.7013234197872266,0.6267751570337872,0.608650488876611,0.6765930809023318,0.6181252812375048,0.589917817208818,0.6209843548345833,0.6468087531556954,0.6941857439456006,0.7059985539699901,0.7693880746273447,0.822762222109844,0.9089495136514575,0.8568030834753645,1.1993460918581818,1.3298968015039851,1.4780089109848844,0.9890234515750504,0.7818744478207758,0.690302806390979,0.6690959589648073,0.5916870705937327,0.690998192158212,0.5843432172186875,0.6001104044775286,0.6274235305097631,0.633643400546994,0.6625268048377854,0.6422936761083328,0.6643903849518324,0.6903642468709063,0.7641971011675746,0.7927240995083642,0.7713455624684017,0.8202910822559191,1.050449113895136,1.251622769393328,1.3974160245204976,1.7995197964916394,1.2599433234244102,1.2289706544788244,1.5180714942564164,1.6864819645951483,1.6600096274651228,1.8249333352075416,1.1836690484281747,1.9254388348458134,1.4087737683872779,1.2959011943501964,1.491763069294017,1.4319825100544086,1.3861071884296357,1.1913019371842253,1.107865522005542,0.825799479973075,0.9029655741835906,0.9198009687667693,0.8345365929498975,0.9078297234191737,0.7753852447085251,0.8993702644012213,0.861551455416068,1.0122610363860323,1.2223302501674964,0.8780899962943215,1.0353261435086454,0.791539304402403,0.9661454273037411,0.7928327898808553,0.7316655739644488,0.7450834670625599,0.8241052585482774,0.8913564082907991,1.9671116256441266,1.553597741802342,1.1306945753627846,0.7431848305825289,0.726307479610029,0.6941337777512957,0.818288892961379,0.7076278479852258,0.6853240730406908,0.7420799070217643,0.8636700677441262,0.7932997292080061,0.6662356786884435,0.652483747083304,0.692418602227243,0.7603883764452894,0.6435713298491977,0.6162526626108037,0.673482385547478,0.632421198733606,0.6727052339470408,0.5896705037112584,0.6565487531143447,0.6229795479800516,0.6636530101447484,0.7312201177532677,0.7853824364518178,0.7223154000799565,0.7172838429261971,0.7216406689478215,0.6110884255213976,0.6273912301808774,0.5715202069021822,0.6451185069498605,0.7001668658468989,0.7335715643747508,0.7614174698615397,0.8512887947521522,0.714425131844238,0.7523026175203374,0.747838891253725,0.7546101908559191,0.624161482159357,0.6040368194855872,0.5739722392748511,0.8198735134734562,0.6665813615108546,0.6721894855054602,0.6797966103020583,0.6912625757570049,0.6943883748583272,0.7296980379889962,0.6691445560088752,0.6791694486291308,0.706594178263813,0.7119332565901276,0.6989021042507815,0.5996504761691551,0.6490540943769071,0.8163403917211376,1.0880336387665477,0.7878983223317594,0.7116320222722069,0.7036148788394327,0.6321660910761399,0.6245301348864581,0.5892773905947369,0.5828213814519376,0.6535482562699433,0.6820963532128232,0.6951041656360385,0.7341725565669719,1.0699787548090003,0.9184596804156785,0.6545527294666462,0.6251261907949593,0.6268659381754942,0.579330451419662,0.6133946553928681,0.5582665145410378,0.6065462168044055,0.6501458956855625,0.6813042892485198,0.9282901705154866,0.8600316187306525,1.0952423120897716,1.4974310603083087,1.378107262309361,1.1120908741676054,0.8099861589769657,0.6681916486770905,0.6665401748956459,0.6100927338210841,0.5782884621638922,0.5847039913685899,0.6292025053843514,0.6290294919772507,0.5810630691751619,0.6215472999821494,0.960331974402106,0.6029644283719663,0.6877735183028998,0.8165768899964999,0.7796483622609568,0.8397534500222689,0.9038593761410502,1.4038692750984936,1.8142555717329225,1.8829810901724806,1.6016291311245379,1.2447062983372414,1.4194109243759743,1.1857734946884215,0.9552325765534969,1.0502004354462584,0.8445420311258132,0.8432794140753157,0.7719513067403202,0.8741698209060048,0.816267422751859,0.7814012759151836,0.7924138378303306,0.8474968435861815,0.8559379184715866,0.8751456472168607,0.9955178064515957,0.9920648226977481,0.936554354769907,1.0393190172698268,1.1555456121377783,1.1260982239574537,1.1191769163269125,1.3069159074973564,1.4336838041971054,1.5630406364124496,1.2791768720618053,1.2428435417303436,1.112993662553735,1.1304211385844827,1.122343481714906,1.555089916492733,1.2767475675190805,1.2339877164711035,1.0123687080280193,0.9417340667250911,0.8938382248529758,0.9243239374390342,0.9593555891541116,0.9634305680561162,0.9078173234675989,1.0329931346248313,0.9827883682492747,0.8822348882031961,1.164706413333205,1.1725589065837014,1.0717496396086543,1.1576892112374249,0.837168511928753,0.9381172010413001,0.8184768333732779,0.8305053308922368,0.9088715662551815,0.8701861587204656,0.9164010130702047,0.8699244076266195,0.9714684841673228,0.9346015361136785,0.9504502078894258,0.8477449555543227,0.8509646966343422,0.9318538351281669,0.9397451163189748,0.9308209555054546,0.9707385748513826,1.1553884532336374,1.0609482839155062,1.0597920693790117,1.0224985739248402,0.9284680500377338,0.8798067562776863,0.8814154936690265,0.952760529711999,0.9371767184320493,0.8931958579538141,0.9583846111821706,1.0109325055128453,0.9109305025591883,0.9680476935053522,1.1117371312873814,0.9767614359883896,0.9685697468500241,1.0907991262750951,1.221849275745,1.150740627129372,1.15252357746685,1.6637697476226523,1.7487621999072815,1.4307102401800398,1.394858553588385,1.2585001957465618,1.301224550931865,1.6259590196746063,1.3689164706925039,1.2117207571405817,1.0448949423413183,0.8829029483828453,0.8390430779559923,0.7916975224884817,0.7580988700912298,0.8662921093021252,0.7834212840598976,0.7749550403038554,0.9278874555417972,0.9212781507000366,0.8697519265060003,0.8808415704490534,1.0847127895726756,0.8438432885229283,1.1898547564400823,1.06380553970194,1.7857653006077077,2.3793353234401526,3.271142043150599],[1.2427688977281428,1.2512458274858578,1.3339685399138492,1.0653555152836847,1.1023790853436355,1.0979629368618726,0.9711277519154784,0.9739005588044045,0.9602629767079773,0.8748140206099921,0.867967918006996,0.9004568535187107,0.8706623978427115,0.8400804568231469,0.8711825174323267,0.8999384509307334,0.9542868853423986,0.9677628606572257,1.0152217054414598,1.0915698090536265,1.1748320915040478,1.113175723444826,1.4366674215781747,1.6283735092522649,1.7063339873682692,1.2129473499074896,1.065067126924838,0.9687601166119176,0.9518360927332372,0.8688093530938232,0.9238083758215758,0.8500850543532512,0.8564956593636948,0.8957784729894809,0.9146884658853988,0.9457373156611274,0.9243381575002138,0.9691000849256534,1.0160520120357133,1.085297241300357,1.1139020306612122,1.0827872981310127,1.1350359705769255,1.2523829238157191,1.438986781810958,1.5588892537091836,1.8437544399057884,1.3999569230950175,1.3874604840917228,1.6216368792867046,1.7834792396718568,1.7424932578930485,1.7953581534999947,1.4088093138519007,2.1147083377963467,1.6601231419754907,1.586797655798084,1.7773211734190892,1.7024019652461189,1.63477174258659,1.4403039166070761,1.395730313078408,1.1149164055606602,1.1787108009083433,1.1829871733173174,1.121390941108294,1.1494164039398103,1.026670154236016,1.1124016529606895,1.0565048193766906,1.1641877713158897,1.3159811081999178,1.0787999237061188,1.203108750902,1.0199784082456618,1.1402024870471648,1.0740127389832177,1.0007298537248737,1.027365623548247,1.1245557075312465,1.1896319491545364,1.9804500300787353,1.593748886838858,1.2424486074619776,1.0331498408550905,1.0425475861647546,1.022928283522708,1.087029593623261,1.0024908145180638,0.9593697916696271,0.999640248746795,1.070034939720209,0.9938050047652714,0.9109305407552553,0.8971911695646856,0.9116435048086465,0.9541058245685423,0.8730786684658342,0.8414441199526013,0.8976354121584665,0.8475870459111646,0.8543898974956864,0.8201915867766586,0.861962066895927,0.8055644908734926,0.819604483679004,0.7873055167334964,0.8337535024236241,0.7758383152108848,0.803105910642961,0.8782760233339717,0.8030588507529665,0.8809304623370247,0.8554377947140914,0.9144139631850274,0.9312015595618764,0.9737832302562625,0.9703415894953792,1.0478441055709449,0.9441918728987804,0.9441815605389282,0.9412124646846751,0.9342435637938045,0.859434064593317,0.8276455698732428,0.8272693421661323,1.0426427647404097,0.8461344620188886,0.8261499146531185,0.8146435403268617,0.8117004476971196,0.7983652596012883,0.9043970543166463,0.8511509639457572,0.9334465140988496,0.8930309368609618,0.8729050021785404,0.967984374640813,0.9039854232552685,0.9738106456653669,1.04805860500757,1.301470266212629,1.0395858449317397,0.99531755802687,1.0206974195074503,0.9352419552254084,0.9212787237977494,0.8805174143784188,0.8454177836146244,0.8831326254804137,0.8786505917974559,0.9229534257674458,0.9189287286043316,1.2778599720357744,1.0734408800631015,0.8608568156521741,0.8522170779705192,0.8401596069193458,0.8103228724897561,0.8220164178346148,0.8313323340884394,0.9091009645351449,0.9829350389582261,1.0016027127853901,1.198434334457195,1.1855557723045247,1.3109774691141574,1.5905754020641385,1.525913605320713,1.410413512041836,1.1420395535334027,1.0196128765443617,0.9995061454261814,0.9145549327532079,0.8796938507438928,0.8336012473123744,0.8892910119398508,0.8663930165265455,0.8857154607946535,0.8908464384576006,1.1208332659036808,0.8345777968409265,0.9336018880298778,1.0719566495061923,1.0636864602284968,1.1308342895757746,1.1878650150541519,1.6992932751215286,1.9749047677432614,2.072688065419438,1.742788029481034,1.442734605639301,1.5804339752465923,1.3721061914428352,1.1372502080401168,1.161991144254513,0.9399106837971224,0.8582531640208004,0.7765753759592774,0.9111857205621279,0.8634716852034626,0.8919861111055083,0.9364448873997935,1.0132291157838422,1.0266361817081777,1.1066220920215244,1.298878277561258,1.2621640902452005,1.1949796429742898,1.3505854374660144,1.482867614181341,1.439114977136952,1.420265764206147,1.6230553300639567,1.7463950826595684,1.8714248523079804,1.5706599740795777,1.5511229429830011,1.4040804335917332,1.3946548490634816,1.3126120765311846,1.7166899600055978,1.4137799160530964,1.3137413168030145,1.0543101168573894,0.9571049994030452,0.906763720251526,0.9200424895541915,0.9719216644360185,0.9669925693776411,0.9248185229002449,1.0274107519988427,0.9777478031135294,0.8743960399728047,1.1020969188660354,1.1572942364222178,1.0620332454748345,1.1307832244300637,0.8362356528810799,0.9410168002854172,0.8305883705217775,0.86746560544992,0.9500603794276452,0.9207321481355439,0.9744686718148359,0.9546059299298173,1.124892059650324,1.0501929981701545,1.0597794613058522,1.0261490701719274,1.04585180679879,1.1216974551871552,1.1745420569708966,1.1582871838261721,1.1975160311477009,1.3813700840087508,1.3289819719574842,1.3106200939083474,1.2654661689320734,1.1215415383937866,1.044157550616514,1.0110328711549,1.1248999661362438,1.1435365596538003,1.0109656321608822,1.0901441013471938,1.191362823662001,1.0457900360002312,1.040069793814585,1.2356352199194043,1.173270280632955,1.038948402524157,1.1619812893041612,1.338902905522026,1.3257785041310484,1.4369281391121032,1.8178671553908552,1.9933076727415395,1.726784406811421,1.7238252839383803,1.6014495253362788,1.6399384681008187,1.9297797180069503,1.7871717339143989,1.6285717427821504,1.4406688035404593,1.145977226403794,1.090178036008095,0.8910993195148815,0.9397228265937186,1.1158543800861755,0.9633554739848904,0.976248961243557,1.0665753891409744,1.101852757400096,1.137480127565122,1.1068919760272014,1.198199654199596,1.1262102478427674,1.415979106914736,1.3310192886097205,1.7778896606717114,2.3366464239495373,3.225483191283971],[1.0214530507621595,0.9916068780766621,1.0116284828328264,0.766759406111846,0.7554149334730453,0.8098487813230543,0.7155265634114953,0.7317297377272012,0.725574933801618,0.6980085187229603,0.6901084456283836,0.7693557642072302,0.7461931160598599,0.7047690376666091,0.7484221981668978,0.7847183242446809,0.8620262829264397,0.8935712886205623,0.9259554853152532,1.0429884527025057,1.109694441941537,1.0534197115452326,1.3710623340219172,1.5281884337283702,1.672669740053887,1.1665840066290811,1.0219455707983407,0.9144331896429106,0.8948062394442139,0.8269957926110127,0.8591103868096243,0.7908234571513717,0.7868424309484225,0.8504331982671391,0.892092415842922,0.9258735645308029,0.9218418535133144,0.969961997809884,1.0083747292281318,1.0806902187435292,1.092760344171814,1.0523259641847735,1.0983373537825079,1.2151829095407596,1.4091081746917526,1.5337698031625004,1.8433038402018418,1.3732507452583989,1.3655584655952315,1.5980958686682936,1.7547233440905967,1.7272018697405553,1.8013229163759066,1.3881502062028268,2.1053927992743695,1.6379576429583598,1.550970082845058,1.7306982456423514,1.6780444801324166,1.6121854326913667,1.4188510516207107,1.3613901920791278,1.070539588175914,1.1075523973917676,1.1333633306519426,1.0788214593591432,1.0838743432181372,0.9678990050319639,1.0184767097112113,0.9705729535064184,1.0993847704376158,1.2551790541201395,0.9969311233028048,1.1245318044158243,0.9585844647287242,1.1036952706644736,1.0274441874975302,0.9678403427959383,1.0198715160992489,1.1178311646854953,1.1871124880530164,1.9979427918520698,1.6530417262555936,1.2605346813001774,1.071363232490546,1.0717830111330386,1.0326896931286462,1.0918275538136883,0.9841873451955672,0.9386200034658629,0.9584660464371605,1.0298013034464721,0.9400244885160097,0.8141676645975505,0.78351305581509,0.7727103215652272,0.8251400616866246,0.7715275716295088,0.7264750951098984,0.7788871169830749,0.7652626224111737,0.7709362008075872,0.7750320228919563,0.8124767342795867,0.8599763884696706,0.8262519729952651,0.836911782230944,0.9173479390484613,0.7418340349613951,0.7619469094020355,0.7264419329340978,0.7397870213449023,0.7238988007907281,0.7737385473366966,0.8027175867661348,0.8617938679475614,0.9114328829596413,0.9083420284461157,0.9786741282089048,0.8672643307557325,0.8673290076909572,0.866835143156715,0.8606144720910964,0.7439267937242591,0.6630853991474873,0.7359703006103333,0.8045010705691064,0.7821722147515909,0.8114449979721643,0.8954330084067315,0.9615918107692862,0.9692993485903252,1.0594763968595928,0.9747776904804675,1.040574517804626,0.9573320454852252,1.0053879471865061,1.0156402484426788,0.889142863317955,0.9523652216721659,0.9919662803007497,1.2444393672541147,0.9926370993726508,0.9595504510370508,0.9980738613746157,0.9098451396516212,0.8879457245930763,0.8316912047938875,0.7818627754997342,0.7494383021703767,0.7208710596578285,0.702661997298724,0.7788162186096004,1.118210907598251,0.9171398027967363,0.7091851088802887,0.716324739063654,0.7299424198347452,0.7420978162872965,0.7992058144251061,0.8525730010319651,0.9265395372105509,0.9946351854673628,1.0187281089557287,1.2018133554767154,1.1457730713767864,1.320587939548889,1.5824184510891355,1.5194105550312533,1.4057538416087914,1.1813764199323304,1.0421103946134294,1.0562949350358268,0.9773958201531283,0.9315404515980779,0.8775635366851393,0.9051656766604298,0.8847157722386716,0.933876767373593,0.9550132597638831,1.171687507764856,0.9209868062346278,1.0401098284862729,1.1599274693709172,1.127082475269586,1.1598049049400632,1.1933856850351439,1.6922570803526642,1.9510819927579959,2.0572245315187225,1.740116649286519,1.4585916784155102,1.6083718650639507,1.4340560368693978,1.2474939489390895,1.2900390469058738,1.1256893055397474,0.9928410336173223,0.8125830450618591,0.8843234153837185,0.6968335902362934,0.6722066777261039,0.687876979592791,0.664205496005548,0.6900580720716721,0.730185421251835,0.8780240589708128,0.8923570286177871,0.8407505412271848,1.0076944511104218,1.1786996898902364,1.1543563080174997,1.1448933146467584,1.4025610455923128,1.5583556407846324,1.6602365043359661,1.3581279979880556,1.3326407006684922,1.1094584919217927,1.1231465790084232,1.063852611313539,1.4687837263662291,1.1641807634651846,1.1471165137203658,0.9048790740722958,0.8033708374927964,0.7593153366046995,0.8204758231042133,0.8763245618459141,0.8005098987735276,0.8797426850399783,1.0648250181457566,1.0046622940382184,0.878826918635234,1.1293707658583463,1.219685149885475,1.021428661973369,1.2095559722701368,0.7804654668860318,0.9565420875083909,0.8573546817069743,0.7374091499168568,0.8496305210677968,0.7595708734599431,0.8382933097763438,0.786434824947,0.8505342870869724,0.7638903833050225,0.7853434362922367,0.698758615506223,0.7197188647713295,0.7933104083244795,0.8338572691125885,0.8349754589810023,0.9002696096367989,1.1221320024978183,1.0314808909087396,1.0214466749777817,0.9638861307431351,0.8096742163347072,0.731726710590779,0.7378215583661185,0.8339869731466311,0.8083480071093675,0.7375657864399966,0.8246097142110417,0.9003758849135324,0.7455314182796359,0.8370952479250027,1.0452054911198818,0.8789208432066322,0.8439758340410957,0.9915185879683851,1.166388676282816,1.0926500989706052,1.153494352064228,1.6389105194172653,1.8568800561019834,1.5586401116513169,1.5827582234238289,1.323216298009541,1.3647154156703707,1.7713611284913917,1.5329407258551124,1.3742247079501457,0.9349131108453268,0.7076087782832358,0.6761365870859284,0.7339216495188858,0.703768438708525,0.7579745645243479,0.7222976986976649,0.6753373252115467,0.8124426909252878,0.8171385519895153,0.7880353926048086,0.7815532260416816,0.9307485723482153,0.8139286196444886,1.1824760883956582,1.0579991000944522,1.4297610673467978,1.9998839691266805,3.020153908161231],[0.9693919824721676,0.8940758341085144,0.8768309815603248,0.6513800109078713,0.728274282737085,0.7631111284838351,0.7051702130278985,0.7386947815031143,0.7071958912820988,0.6979207442822729,0.6863467723194405,0.7862226564299046,0.7787997221590189,0.7059596814592727,0.7619104262753562,0.8141127618015398,0.8798247966155467,0.9045849455731427,0.920863384224134,1.0602395625999823,1.1194883593493767,1.0762723018530256,1.3818978202589323,1.5385329507712717,1.6762451791482111,1.1618356436830624,1.0345440440767573,0.9325019147921076,0.9274696885967129,0.881994578777623,0.8883545044268002,0.8531664708806175,0.8465130558719958,0.9061977278361598,0.9557370610584546,0.9786660960206397,0.9931347552186428,1.019457521750836,1.0562344832792618,1.1519879949509377,1.1320658659603904,1.0779528914432788,1.1356902183096533,1.2496561379630555,1.4073110511045837,1.5265990594431698,1.838677054086968,1.3981131434424183,1.4001296662632168,1.6187256325084072,1.8107272072643181,1.7486504721632892,1.8258452419006437,1.4606443573537322,2.168779463815938,1.7210424356903504,1.6157671279026211,1.8073140954243587,1.7490444966609844,1.6586603579331762,1.451280595459857,1.4050879682548758,1.1144216096981328,1.1459469764809347,1.1601208012605897,1.1094868016188157,1.0938683534327032,0.9785159022116938,1.017200936833339,0.9603663050046313,1.0831834933299003,1.2334783215853424,0.9816450923187181,1.1235753048263488,0.9671188820848698,1.1208687233657404,1.0592809461997688,1.018583927430654,1.074185439636943,1.1810421200080699,1.2554583312513778,2.031824825897732,1.705522452306942,1.3448960786820752,1.1518394143538018,1.1480547981572202,1.0959083146816115,1.1636745040566263,1.0329674041573904,0.9972892934107768,0.994130866931283,1.0422081118795645,0.9481884962073078,0.8394982407460695,0.8050249328198672,0.7760607123338641,0.8238123147231713,0.8086087171921438,0.7724550608544742,0.839191706008619,0.8452854003438639,0.8553860274680561,0.8758321362084297,0.9202695477674585,1.0100627647372074,0.9771373254027517,0.9977421685772287,1.0744286353531824,0.9085363829559705,0.8947703550499757,0.8452692545515756,0.8601858569571954,0.7850684010855612,0.835096407130303,0.8294080670642539,0.8634003485050394,0.910006495060354,0.8909975573042253,0.9602255615279132,0.8579370214164487,0.8381077019811288,0.8434313359562863,0.8247375565374694,0.7258144516550675,0.6656548840470968,0.7874146521603208,0.8405669434072731,0.8942762122349437,0.9639548179690373,1.045893483900761,1.139792637464832,1.1509837834384633,1.2164494816534583,1.1353239744892358,1.1746823114855034,1.0574006746707465,1.1044339129791543,1.0475874206868108,0.893654531475714,0.9704645318341852,0.9722488206452501,1.2390390232533377,0.9901155831231928,0.971613614764346,1.0268969878609011,0.9508370024298833,0.9245118526778389,0.8966651469728504,0.8675811800772963,0.7990000686643073,0.7963635415424395,0.7338809766141392,0.8420549820941001,1.141414554697746,0.9295039739543934,0.7606947847769893,0.77760746963468,0.8142476205167978,0.8277956395465776,0.913139395598243,0.9536775683341864,1.0029846974546792,1.0445711685692702,1.0812977405472795,1.253877232707936,1.1827699262429627,1.3568036856148746,1.590607143688563,1.5263128780544761,1.39923142362047,1.2334649359805736,1.0969873527494702,1.1384839372411326,1.0775777569609113,1.0365883556594409,0.9938767390091373,0.9944022182429613,0.9996974886711293,1.046855486079352,1.0821749640404403,1.2451150483035989,1.0549659028132123,1.176474114657566,1.298485389973659,1.243718952135412,1.2529421657597604,1.2604838522636028,1.7712642348520602,1.950712119836007,2.0881651323040025,1.7819763325902023,1.5202196377784865,1.661759735342234,1.5080046426062765,1.3751243153216552,1.4429795890035768,1.2888923029774644,1.1827507112199638,1.0173300549091338,1.027157582397895,0.8110631618545534,0.764927718428993,0.7850772398841336,0.68469196146462,0.6794019161635001,0.698883481608909,0.7682572114084233,0.8058232598741876,0.7853729479266294,0.9209552597829415,1.0956291438338919,1.0980635702462136,1.0768786936518873,1.3430736883736367,1.518530346010837,1.5872640712992037,1.3326439289856746,1.3265678637758727,1.0512515823470343,1.0732091138312156,1.0457993224735558,1.4042819137489022,1.131832617258468,1.0476200012318202,0.8537596377426214,0.7910982934841387,0.7994514650212322,0.8810916875001693,0.9210866736055128,0.8213531670186313,0.983686932154654,1.1837763704177446,1.090731190795003,1.0116056296873097,1.207523719160883,1.33239291804546,1.0760739724419592,1.3263337865703764,0.9399013265730053,1.0954934351958172,1.0075277528186468,0.8184208347830112,0.915072803092153,0.8318291356400714,0.8849071104459153,0.8558875940182142,0.8720560625159847,0.7768887735814689,0.781699440884921,0.7048600497685766,0.7199249924199009,0.7646873199200831,0.7959549274698854,0.8040508320769624,0.8727755719823936,1.0684878088058267,0.9740399274668983,0.9783181046525794,0.9180657601702008,0.7759930930887751,0.7072338397015598,0.699066710538157,0.7784574569656916,0.7424602177699066,0.7022773682255254,0.7565818656531806,0.8155413412555383,0.6774266411905558,0.7891164873310119,0.9782359488691479,0.764102108226665,0.8115319049351676,0.9279401441448915,1.096036351374015,1.001447582760722,1.073180330244783,1.6459289202721679,1.9454832994349749,1.6213030948184828,1.6109364991090849,1.233030955232648,1.236500397376581,1.6246902158277372,1.3982395923805075,1.3818377107473123,0.6314791621896059,0.617432774203018,0.7390232707015658,0.9032757698020937,0.8162510740347767,0.7586979300132841,0.7947188470111587,0.7265320915836665,0.8303001014879182,0.7849843015109923,0.7609001199377722,0.7603433908536202,0.8766359706978115,0.7730124774543605,1.133891971539336,1.088739626389111,1.3033469040988006,1.9504292337558893,3.1905184297617994],[0.8929483293557975,0.8095724189523344,0.8091989359186589,0.6470663548846839,0.7544770912838917,0.7940225848235942,0.7506150789874988,0.7683946899319162,0.7378864870627003,0.7411224972612223,0.7259282387313455,0.8272320233132556,0.8117769119402697,0.7408537687395317,0.7733978635389868,0.8161809850119808,0.871413937834718,0.8830607332734511,0.8803266042498736,1.0334374512461146,1.0776509499113236,1.0147363749134073,1.3488802402707631,1.4523520942720176,1.6713165419269915,1.1515254783604916,1.0092629030337061,0.9110283141718303,0.9043401759376892,0.8884107245158778,0.8758218374642524,0.8617642195564217,0.8470379118011248,0.8988422254520817,0.9458354961566229,0.9690902576181104,0.9940849139349541,1.0094296727809664,1.0284058999649162,1.1092176788793122,1.0865565244432793,1.035173609532217,1.0715563668295498,1.1655398167445998,1.3695587175378787,1.4949146357518404,1.832126209407862,1.3400025942205855,1.3292991025162963,1.5741563552405449,1.707397052929462,1.7073950327493796,1.7951743862442189,1.3914500775970835,2.13630788604427,1.653552148118894,1.5309685328155638,1.7066404535584383,1.6888115759730107,1.6059862046084046,1.4130596273808964,1.3615385071414365,1.0660132187684148,1.1066683092462566,1.1116961750583447,1.0797153775394162,1.073735391711513,0.9442056566420969,0.9731120083559254,0.9223147472016043,1.0273961469231898,1.1913722563341897,0.9444450727467946,1.0670982421478057,0.9441991916310775,1.1540416750958296,1.0114530842803582,0.9756240802618374,1.0429963257602417,1.1327104718271221,1.1982123041314914,2.0373403676057857,1.7455680622169616,1.275721200661019,1.1311131829385597,1.1363710024001052,1.0784986381002908,1.141914861674269,1.0062039987681504,0.9804057621619192,0.9740701242730976,1.0317424795750403,0.9372144846911057,0.8351040045625775,0.8023472265845024,0.7749436204408461,0.8052459488084631,0.8050077888064382,0.7910973153933148,0.8767764355330074,0.8633491736400322,0.9036991186258313,0.9099723518017826,0.9526291259888858,1.0307293964783506,1.0027266196453901,1.048385731279514,1.1204380299331715,0.9843768527183325,0.95384102478094,0.8760299587736964,0.9040945813805216,0.8323769267546636,0.8904431674101658,0.8506615033642976,0.8618930483724893,0.898047521378404,0.8779023430684669,0.9349602264466322,0.8352185495947488,0.8102495621815555,0.8397935200230434,0.8217715889026492,0.7513050203291288,0.7193924327831246,0.8493602496111416,0.8873880312742257,0.9631539335157855,1.0065998577259239,1.0726323377646765,1.1781565478587352,1.19402609815523,1.2127927648806356,1.1368652376478066,1.1606708098980532,1.0672082737425757,1.176863886693189,1.0931859062067057,0.9204126708187367,0.9704318618457624,0.9467050096348948,1.2086901477244452,0.9736203478607831,0.9604747837436823,1.0094776803155774,0.9485359460887004,0.9252247196979376,0.9243868103206232,0.9034910623045934,0.8343340689502435,0.8389340328418238,0.7662314598706093,0.9018257074435811,1.1391406266559938,0.9627435863408228,0.8092555564198333,0.8158939913804288,0.8515841094143041,0.8603526386209612,0.9281058625211334,0.968458601801849,1.0007953451832123,1.035203378999849,1.0578363817743341,1.22444077346071,1.1353306307485822,1.3375421885270697,1.5826123800810536,1.5142123763098376,1.3972366238421858,1.2158029760252551,1.0971154070794678,1.1295720070038884,1.069273434111494,1.034400243077969,1.010939738291974,1.0273624018308924,1.0179058640106224,1.042088512477844,1.0795021754453287,1.2555223103555408,1.0642048819204222,1.1684961619536067,1.2675503269252533,1.1969010719122795,1.1884024476578385,1.2171890213755652,1.7070641869378174,1.9395144834338223,2.048058008020299,1.7363522911411915,1.460396587459826,1.6206597802063505,1.4797862313092898,1.3562949365493948,1.437171277518057,1.3127465876421571,1.2195637926952954,1.0991340219483519,1.0951873906036755,0.8590539841430013,0.8098863259754092,0.8447018047556994,0.6979442782106549,0.6154753157879471,0.639392125773359,0.6324477386571018,0.6095319243260267,0.6252834389742009,0.7730326188148339,0.8881280613204992,0.9140480753187322,0.9619571119868179,1.245550745807838,1.3689767144681593,1.3815867682060823,1.1556774637961298,0.9804348140104805,0.7318174613983378,0.8094407909265213,0.8229678821690146,1.2705812167896207,0.9519799619670767,1.0150508627459023,0.8116833029479297,0.7617647285503412,0.7942595890047457,0.8860618938026058,0.906994262945504,0.8079562773599792,1.02008515568622,1.2245990092213521,1.1807262014512319,1.0774721289379692,1.25098297968903,1.4067157300545163,1.1398827729393264,1.4051886240121538,1.0073518983891385,1.1273604271686941,1.0606724987897107,0.8399036542113874,0.9321774194748249,0.8236826497532671,0.8933756708586604,0.8714529582754104,0.7761444549199371,0.7105418141743148,0.7590086890854317,0.6295406765305012,0.6319638042658322,0.7095588335053448,0.6929772162267316,0.6687548185777025,0.7728109120849957,1.0184352979286413,0.834344894623411,0.8252848498152914,0.7331223242481371,0.5951585991853431,0.571632325222299,0.5721040402547712,0.5826729821993282,0.5464485789383376,0.5837986843506133,0.5962354849802759,0.6019929362934322,0.6020777507625226,0.7463405339891496,0.8681396815822611,0.5912181613883984,0.8474961290274377,0.881110848091834,0.9953034526642807,0.8413033518628158,0.6678776603969144,1.2176363344246446,1.4194280892121904,1.2306274701106759,1.275393492319612,0.8718792522272913,1.0165762758139436,1.424784655126925,0.9339285800129997,0.5410294557583688,0.6730376994698172,0.6903685585707879,0.8402456301798727,0.9982122271415711,0.8961343826432405,0.7795484449669611,0.8228973904103642,0.7239263575128945,0.7984258385270975,0.7959608369321458,0.7118821864656861,0.7226357387429297,0.8687959233118684,0.7461732435238378,1.093653348594601,1.064502769657923,1.2698106980883117,1.9671946581011197,3.225975854282158],[0.7704699595265407,0.6813225867931626,0.6990187828168049,0.48385733915884194,0.6204609469455682,0.6259212863542782,0.570107430458507,0.58621867178031,0.5500986602607757,0.5424171637378482,0.5305395273164741,0.6209517273950655,0.6208627794816808,0.5540695722549724,0.587022821499351,0.6314593080343681,0.6974001617953891,0.7043724885504994,0.732330398643952,0.8580092290732424,0.9132527020166985,0.8453224539490718,1.2228294227715408,1.2845839134566606,1.5439665541104126,1.029961024886161,0.8376064908217781,0.7287051638543536,0.727907956566844,0.6873040747099912,0.6835649560458301,0.6522782601179872,0.6431509839743519,0.683403247297535,0.7296932114382026,0.7546329433813185,0.7721185760289876,0.7906249592926496,0.8145731136762557,0.8816841706443185,0.8741266881913587,0.8259912577432853,0.8573405735850497,1.0303663317438452,1.2531313528436738,1.3926860379595476,1.8052304135097734,1.2588657601818825,1.211242357571215,1.4921862192504578,1.6062671697956643,1.6206697931182346,1.7718542614472483,1.2199540815667136,1.9587530356291374,1.4330892935292072,1.370873692742793,1.5296256077151347,1.4876707182299853,1.4631732460735007,1.3035979879204729,1.1891071937968067,0.8845817277751135,0.9358544513139915,0.9510821943617086,0.8977470053506746,0.936824018308356,0.783290229917252,0.861694128736041,0.803006408801058,0.9465344705640345,1.143270240397467,0.8205450822204643,0.9780041268618331,0.7825323293981452,1.0538709508431217,0.8242899152131319,0.7766715581970467,0.8425781144453113,0.9210399052680227,1.0112525683608722,1.9184082514628413,1.5928076960510635,1.1056930756820829,0.9173883470880757,0.9274021186012474,0.8506825006520959,0.9301069158681012,0.803314976331873,0.7771400835286327,0.769992706141425,0.8685262797999642,0.7593211361928089,0.6373564712164641,0.6038737953116158,0.6051154522887514,0.6605395391230121,0.6262377871639901,0.5986303601280552,0.709100206276015,0.6719364856675147,0.7269562360895934,0.70333635378172,0.779948626707091,0.8248293715309203,0.8287404476574758,0.8507515829849781,0.9404254392372786,0.8164190253641753,0.78918362283509,0.7261787683737196,0.7157331842757759,0.6486761896836111,0.6997874736129853,0.6601032276278321,0.7054132517472756,0.7413108895503914,0.7281706479735073,0.812826631145929,0.6882894117520446,0.6902373925915387,0.6897460580000659,0.6831210575467278,0.5994679355773309,0.5527694230154993,0.6772398420442794,0.7657184038863838,0.7710027923190161,0.8123668747764482,0.8615759305249575,0.9672148826181319,0.9869568192782634,0.9920545675164453,0.9130851696473047,0.927623233679687,0.8523587604753082,0.9488510377508191,0.8828831426146582,0.742991391711894,0.7744912150160881,0.7942835445950643,1.04524174788842,0.794945579737448,0.7658369613700111,0.797388720297466,0.7479568846455099,0.7407069761183596,0.7330748724294331,0.6962938136830538,0.6541190616198609,0.6670116865699812,0.6060310648346652,0.7567428147988888,1.070658783621282,0.869798422739891,0.6334810021843658,0.616755301750788,0.6771704694475046,0.6658408737274238,0.7499002471916617,0.7475902722907749,0.7912484686665395,0.8105444731946594,0.8338192758550327,0.9881094567190398,0.9494968603237002,1.1579225585153772,1.5018152692017799,1.387538821558072,1.1965884184639417,0.9917144693011816,0.8560997905133112,0.8866137857029803,0.8320610668285826,0.8058582119566309,0.7790304354706515,0.7946808580005932,0.790001309790853,0.8163415735018472,0.8484685798986835,1.072883456522598,0.8362596858059695,0.9430811607046374,1.0340497313673824,0.9632739456924867,0.9595087187837074,1.0001612641682727,1.490812115923363,1.780210139805398,1.9083177250515302,1.6773222673241583,1.3333947389068814,1.5137445796245155,1.3255775263501806,1.1755902932422493,1.299821550510274,1.1262909829774475,1.060372580057225,0.9582829007310274,0.9878462689194738,0.7933405821410408,0.7285806087217421,0.7409245390147913,0.6698476315985347,0.6240744544858504,0.6015186945985179,0.6107710335558325,0.6170692346033959,0.6108125841419765,0.7022683753670382,0.789305240453387,0.8357785555858432,0.8880266661567698,1.1247788349699863,1.230209849415417,1.2195364860565054,1.0871525298006708,0.8701355788997612,0.7078848106825918,0.7864667236984875,0.8655990765118022,1.279044977710882,1.0247357709367504,1.0748624196673011,0.8786053067828842,0.8111998359035557,0.7935925121701488,0.8814949551096524,0.9531937481724279,0.8287377835755805,0.98364420620067,1.2191278861780583,1.1573997935293105,1.0288412635247464,1.2060924159019861,1.3835956164995382,1.138300776087969,1.3008484617780784,0.9356325728018658,1.0371657563081798,0.9772568823397458,0.7988583072007042,0.887682288299303,0.7832338987708223,0.8451559110557069,0.8084623886101537,0.7571273880882415,0.6747669695208758,0.709839106314767,0.6118051675872656,0.6134871629706365,0.6816266316456149,0.6513971718558744,0.6650645448998702,0.7560382822785243,0.9735335262981365,0.8029113406752291,0.8153950504274717,0.7338733888844,0.6404753258023156,0.610036893913623,0.6328631336469923,0.6399025211659183,0.5943753724835545,0.6499602307511603,0.6828466495650494,0.6795117821380556,0.6664826895237937,0.811301108610632,0.9286799731826272,0.6736640381735747,0.8870396500096603,0.9617502774801054,1.0708165031018584,0.9102527560311611,0.7191324508139497,1.2683563226273127,1.2500394380690285,1.066592713594272,0.9981142514173034,0.7521209245885225,0.8649460320505106,1.1073620664264487,0.7073208697068515,0.580552031492486,0.664504447857416,0.6893296353290268,0.7408675581435281,0.8553504102818705,0.7358500652442495,0.6929938889811702,0.7309879364315993,0.6452015922242493,0.777075223965255,0.773686836523612,0.6204494785361527,0.6529871785195954,0.8802902505671588,0.6340666689772002,1.0398846372344512,0.9465199440966228,1.3008063423779381,1.9411353813855698,3.0905973707477545],[0.6481617349793212,0.6010630225287122,0.622939411960516,0.40618749531005605,0.5040937041661999,0.551077235118549,0.4732118234105606,0.46890828476511554,0.48177182959692966,0.45704979715339433,0.4534842324479497,0.534092037870926,0.48662087209634813,0.46835740263301423,0.4853785404471355,0.5088061453423122,0.5601084296677047,0.5533792817031173,0.6055982161704808,0.6508153781095282,0.6912088612466036,0.736114614745505,0.9762316488225575,1.0286618587910643,1.274874319775891,0.8132211263783784,0.6181749031189526,0.5442404360743991,0.5566694983435921,0.5077353752262097,0.5389304968176386,0.48868219729490175,0.4955636532167515,0.518426368035709,0.5358673523466013,0.5686309175198959,0.5787294882522288,0.5975482465200564,0.604879610222694,0.7014658269601617,0.7028201440295416,0.6316564943327628,0.6747135388572327,0.9948491757753103,1.2059192358079682,1.4296481325716341,1.8675116023502365,1.229711003686331,1.2158941009415518,1.4907263164178812,1.6335006138806594,1.824795287528073,1.9068935882819025,1.020258370442533,1.7755210790122955,1.281891344842425,1.02537697615164,1.1859811968936096,1.2793819119132825,1.160747843714898,0.9956639868123153,0.8958723555748985,0.6389908265353499,0.7357445742682835,0.7310729409646177,0.6603152161347485,0.7487093489970489,0.5997373346352852,0.7635039774754842,0.7106140278014481,0.8732677529641831,1.0671574424790653,0.7431759495692762,0.8767432939041272,0.638994124464189,0.9598363188212866,0.6098466069413115,0.562439387220893,0.6049722427541968,0.6789688838947555,0.71892253977817,2.108058140286448,1.7970082356425787,0.9782583164551103,0.7335759137449106,0.6988759307209989,0.6211628115541504,0.7045439996264375,0.5894670602008573,0.6015177678833528,0.5913528247359048,0.7386907241884786,0.6387134456816713,0.5069762819063905,0.4912994532176398,0.5417956864003682,0.603965660495438,0.5211586646839617,0.49191980614681813,0.6031451638275425,0.5339300506475818,0.5834302738819739,0.5183728356685516,0.5875199360574072,0.6540207104054309,0.6403166549230587,0.6992283940350965,0.7674958923145115,0.6769973672579046,0.7108552918596373,0.6059342497308241,0.5553798572726649,0.4873000484587391,0.5487391607184312,0.5146534074140805,0.5461058523585501,0.5914396410146133,0.5671523616216443,0.6568389475187815,0.5471182850849649,0.5704055943004582,0.5877564373888668,0.5820501777498736,0.4919427517380722,0.4590186768697063,0.5506450393698464,0.6740331159066049,0.6117371875414298,0.6738157182676984,0.7110379422143699,0.7895022196477827,0.7911387961628923,0.8342991531463555,0.7524608439591548,0.7781963524852826,0.8548117428206325,0.9166907229918337,0.8075389715789337,0.574559410166668,0.6080283615590575,0.6699635162946261,0.8933006015531372,0.6030517399597111,0.5844000966463543,0.6183027246238234,0.5705769011753135,0.5629497944805123,0.5638472260461326,0.5130650190449398,0.49729798494224375,0.5449570258461214,0.49058932050400295,0.6496067635285995,1.052783429959636,0.8334259230650907,0.5152277872167413,0.4778900870163088,0.5238129913569098,0.4964443160085314,0.5686778643128378,0.5700890814727938,0.6014560097955027,0.640757788635232,0.6737116111206937,0.8863279770192375,0.8173492788079718,1.1063520260669923,1.543487642332576,1.4281186648345519,1.2339018704176459,0.9088400037740295,0.7598281573795712,0.7332047821450499,0.674674451670814,0.6025834476920416,0.5946820078286418,0.6004794978862129,0.603783966824654,0.6141174034703436,0.6435506207011239,1.0430567321808828,0.6532668782997092,0.7437167928791335,0.8664261322626912,0.8174499802294674,0.8423835530473511,0.8936348862221518,1.3799164434607976,1.8761154488946352,1.8294727820651036,1.6094349093456086,1.2641442996967798,1.4131805920606137,1.2249549743164136,1.0189988497372162,1.0817737439371986,0.9536710685999554,0.8616429320357692,0.7894511759109486,0.8584286382876672,0.6633609977378955,0.5703812084153574,0.5936108904234837,0.5513281831999175,0.5057837543368899,0.4870436226309636,0.5218547006702111,0.5405239999735963,0.534509872567957,0.6176803960840449,0.7025446710703677,0.7370997128285847,0.7970217247039714,0.9896205878454827,1.1004362552234161,1.1426510412359874,1.0189215364813289,0.7830279026110424,0.6430709045269216,0.719375541303481,0.7687370550865408,1.3382487735154065,0.9936871213578489,1.159456565414281,0.8218209058844086,0.7328037350926584,0.7028935778797327,0.7408881612630241,0.8428607631882273,0.7337931572064144,0.8480749825898691,1.051828389108211,1.0468099082786408,0.8815790290368256,1.0632309301040648,1.249910187695823,1.035949134393879,1.2070629295536603,0.7960080639931085,0.8752122059248076,0.7963413763683339,0.6582820262663482,0.7071509803398709,0.6419039520671367,0.6854119964808738,0.6271409962825352,0.6271693170158182,0.5671140769978363,0.5947760135632487,0.5089738561669342,0.5332634692408449,0.6382489880309726,0.5739994700503143,0.588205225597504,0.7113505513512791,0.927903040495686,0.7242432713884233,0.7197040192706831,0.6498127438205852,0.549658270917017,0.5197729242376768,0.5436165420317125,0.567708468820897,0.5213276728058966,0.5577146943337257,0.6255272777366898,0.6390084551656869,0.5990187703503174,0.7286630419855141,0.8761394041031193,0.6600885701672112,0.8088780279811493,0.8742192136606182,1.0282276269002577,0.9011471074338855,0.7522888111179906,1.1981554015876075,1.259315578133086,0.9787893151157439,0.8735442690262377,0.7077525685675711,0.7880511049614102,1.0645603714475997,0.6213385390050639,0.6475755061411349,0.7706679639213018,0.6611348312889145,0.6528442164575975,0.703490967594239,0.5854072630412656,0.5497474002264582,0.5989727110703321,0.5186023113672255,0.7976486193256729,0.7237389563202683,0.5158366350999667,0.5980932248597625,0.9050749875094538,0.5421580250424011,0.9538191926494295,0.7838738908642178,1.4412357270336154,2.001576360882932,2.8905768715665827],[0.49922002768813667,0.465615065203683,0.5349812633813034,0.33094786400194204,0.4943404467223293,0.44083532633093525,0.36682436719067624,0.36915451134153726,0.39247283016163004,0.3545527079815537,0.3473000688006558,0.44346059348178674,0.3795490073255612,0.3719579374354268,0.40515831679732417,0.3860672329815857,0.4272782062472518,0.42090247308924705,0.48647652486958654,0.49445370064560645,0.567456919401012,0.6442974457590877,0.8894705426630677,0.9246230899941658,1.1619690642101654,0.7205837255476077,0.4681237901070168,0.40086418238432947,0.39740357333600734,0.3719659550216933,0.4413174313550608,0.37763514646070523,0.4173526940611298,0.39846266098248656,0.4068265132409479,0.43031931066495444,0.4406249569257447,0.45076748426883095,0.4459089859544953,0.5605738657441974,0.5739694329904357,0.4873846000209693,0.5393055556717317,0.9215322250761258,1.1581898148841616,1.401885624300163,1.871466338528202,1.1736572859929177,1.152648643610602,1.4395321769309974,1.5482823124604743,1.808613045663405,1.9403894603184308,0.9417345014873465,1.6952176076304322,1.169763399182118,0.9040214762384252,1.0352177309888189,1.1580584827991853,1.0268090907245355,0.8880738767127978,0.7783089885812317,0.5105655921939879,0.6498635900936408,0.6282214002287456,0.5377869942924349,0.6703187622434985,0.48289547982510134,0.6750707963020107,0.6458223310490996,0.8055979379857882,1.052863583176007,0.6993106786646609,0.8077312548735198,0.5756401999050401,0.9738931887153058,0.4867561291638133,0.44246482593713804,0.46293027284848487,0.5238584002626233,0.5445449360034893,2.125714262134963,1.8463454586191517,0.8847168278514306,0.6332686989892146,0.56172352711565,0.47218354457967754,0.5590549755577898,0.44015916599368204,0.46237954933396536,0.46757825320377766,0.7152455977385476,0.5874752403363411,0.430494784640548,0.4207936784989017,0.5143694959244336,0.572984723490865,0.441805289630805,0.41246367748031687,0.5809300336574124,0.4508985459180248,0.5031824317306363,0.42043320714992893,0.5095046442371653,0.5903196906792352,0.5878910267559981,0.6926533741257326,0.7398279880110168,0.6803855822975804,0.7372629068647646,0.5812810784293088,0.5055881614835464,0.39206572387574373,0.42307759436998243,0.3758432268238656,0.40113881997961637,0.4643744783137917,0.4337719386390708,0.5482012356915689,0.430813684381402,0.4836840777295933,0.46950907939672043,0.46478677845127103,0.35635884029260634,0.35767969872771715,0.46076759947485585,0.6089482825069884,0.5377862202393704,0.629908541334546,0.6600693097076606,0.7493086062420113,0.7579507658401922,0.7800084676937794,0.6893237646753442,0.7032054086956228,0.8049890048576922,0.8729270859100586,0.7500934222691672,0.48564081507719103,0.5109265131255529,0.5993444036651305,0.8002029037305747,0.49323489560556344,0.4559988301534202,0.4806307622658341,0.4305233146284387,0.424582503404755,0.4329267131619391,0.3989004112208158,0.4007124254672935,0.4769640341718396,0.4318137841059003,0.6192657205929617,1.105094469806397,0.8670112195302216,0.45837750077203676,0.3921520515818062,0.43815511242808775,0.39693582223347545,0.48586351835374736,0.47155141741138895,0.4708202074386566,0.507895409378574,0.5399280677478061,0.7747452253731794,0.6998906927252256,1.0484883283233226,1.5551094134858652,1.4026600643741662,1.1818564568613192,0.8252920318725772,0.664517565269943,0.6403015211068929,0.5735478182384659,0.4853208435025512,0.48938341508496963,0.47424724075600644,0.5336997761590834,0.49152811526781737,0.5397187440472533,0.9666832727139918,0.5711387166762785,0.657437836192908,0.7840301229312705,0.7258555998976565,0.7545982072153105,0.8080699063594782,1.3039778513300724,1.8093526244676548,1.7771628266003747,1.562786650034083,1.2031785800310726,1.3686530766266332,1.1741587507699713,0.9708592478043304,1.0499628658633866,0.9169057382639465,0.835917160943754,0.8019992007969015,0.8483826621821493,0.7010865636482903,0.6094387100389604,0.6269833740434149,0.6201627994738955,0.5760394141249315,0.5516905014889136,0.5981180761895335,0.6160938563300014,0.6129687502327813,0.6510232383518934,0.7223883563560334,0.7887988122152276,0.8363532939641413,0.9864604605325488,1.1145944548380695,1.0346024602167014,1.1119007804193224,0.7633917101799097,0.6787451816661818,0.7491672419183608,0.8038448014530506,1.3276919465463843,1.0280682385108684,1.2087949353467002,0.8711626760764793,0.7781798138696269,0.7572438117880745,0.7744924967515052,0.8879175378564904,0.7739529414670843,0.8779678917349778,1.0863601955306015,1.096676373317097,0.9051191752280566,1.0651829360850509,1.2875991891756102,1.053480660918069,1.2095965761043475,0.8252792994566454,0.858952116372241,0.8079902166434813,0.6933002031258126,0.7081232919803476,0.6894616979903618,0.6869271859932115,0.6404864305496293,0.6237346351318952,0.5783947750118955,0.5902237408160628,0.5706289012193911,0.6304251783917713,0.7368032548707176,0.6349781292781966,0.6735896118331742,0.8220829615748807,1.0048432844609512,0.7818504029872101,0.7796304479319424,0.7182225491619743,0.6334462313208156,0.5980398710093143,0.6178085854514576,0.6505486327331548,0.6039238486719336,0.6273717472996236,0.6973165630530388,0.7038855834943257,0.6768133247335884,0.7933533342556316,0.9494469703890359,0.7527016677241053,0.8873269270294167,0.9357884142634835,1.0931394282899287,0.9586374971492786,0.8242582861088035,1.1895536757045906,1.1578079654099205,0.9425114502317624,0.789957317025318,0.674419297376266,0.6938158561537372,0.8072800156382723,0.6795711840527926,0.8120391146609338,0.9138319201908218,0.7849694643010436,0.7141871914975128,0.7193690415862887,0.5898966067254644,0.5881217053418607,0.6042586048328653,0.5594052656287788,0.8852709015371418,0.7144409766021963,0.534448978128317,0.6160045288592786,0.9168968309325009,0.5006732596961246,0.8654860862296762,0.7293037565656162,1.477278507478176,2.098201560414612,3.007668713616296],[0.45822804983556376,0.45020242030412605,0.49743851416025414,0.17378179003579158,0.42053111813174426,0.3843518139940618,0.31372311452909124,0.31335727553253134,0.3518127770960696,0.3044146502213372,0.29883918705172036,0.40436110655300594,0.3287850663154665,0.3322417673971702,0.36414548356585186,0.3528175045934244,0.3932440807957494,0.3916760113435211,0.44119598748246985,0.46286812085348783,0.5021770115855216,0.6101528287714169,0.800759211028482,0.8314968272812322,1.1019161548469707,0.6583266947324745,0.44641137167623657,0.3863407561810769,0.37561968802690704,0.3396060824200709,0.4014829812088862,0.3404817084628143,0.37767830385818657,0.3823422406018699,0.3688696949349489,0.4026987545713272,0.38986037993250755,0.4335744650720025,0.43860242154156837,0.5299668717668343,0.5665177647518376,0.49209313184661824,0.5201564138298406,0.9030904965941091,1.1179834187393667,1.3923248209919223,1.7953095893083064,1.1067133288720323,1.1286545692517282,1.395014883799798,1.4761088948360384,1.9042063600880095,1.9384516577710054,0.9104114991348567,1.641319631034999,1.1825092002760724,0.865938783528738,0.9669968642056324,1.166265868312541,0.9576338968251956,0.8244897099418622,0.7488868696491723,0.4620527329702099,0.5885309322567476,0.57602157987924,0.4857905278445881,0.6282795297474755,0.4375910740540713,0.6305267870511994,0.5964535348039096,0.7782676413975701,0.9935355642360751,0.6556487880876041,0.7525916585364266,0.5208483067880058,0.9405835688149548,0.4453649457291253,0.4079331230249832,0.42536471376468643,0.49029101722820106,0.4936508093535468,2.161517991796964,1.9231149549403137,0.7838157611227764,0.605752141820515,0.5293151947490339,0.4532559726627178,0.5126441807295565,0.4084211805901268,0.4243633247133321,0.42682433943537645,0.6567252253141671,0.5239492045109122,0.38631494184728693,0.3791944220982996,0.47245213337843484,0.5326414181917234,0.41431276544524565,0.3761837540237883,0.5243106544784969,0.395181429432603,0.45254369338445494,0.367559397586064,0.4350780634248812,0.5153850248691556,0.4995122663275745,0.615041075441642,0.6364271203117571,0.5922033273188402,0.6835133062656856,0.48436607120125236,0.4477853909452462,0.3441423812413989,0.377789949422739,0.3456504424744296,0.3723694975427128,0.4311936154337913,0.40978566805055133,0.5021744293981764,0.3984156438622837,0.4366932193811518,0.42952898143368534,0.42981085675307235,0.3317812548549783,0.3234101214988212,0.4422200827736302,0.5114154453092985,0.4904593920160626,0.5369543980382436,0.587936288802734,0.641073755808999,0.6343027263535826,0.6821910140623951,0.6297124069633224,0.6510010614371788,0.8006509079991245,0.8589033679785468,0.7401084347736677,0.523515481605688,0.5328017830773802,0.6580463884591211,0.788216913730148,0.5133727425953334,0.46710303298582734,0.4810542052314349,0.43135041848492833,0.4241711110539525,0.40462685989686037,0.3591476378794007,0.34890729695562417,0.4071706044215705,0.3719163745409918,0.5499012875139336,1.082492755792665,0.8546834009585202,0.39598635893859274,0.33719586271408014,0.36259712393423643,0.36120513825527045,0.42538522760915387,0.4411713444784999,0.44724219698728773,0.5000838991643264,0.5128991319740477,0.7273393741542293,0.6723429240239821,0.9929367628641819,1.503259305177728,1.3505783415046455,1.215919590948964,0.7966927217063818,0.6748620259309658,0.625835022406816,0.5489511814700462,0.43894189125752137,0.43822699885286637,0.4194611514581677,0.5314106923439801,0.4313368762388478,0.47560486485162295,0.9240239216903746,0.5221556598972786,0.6016694581494443,0.7041497367646047,0.6653534972098527,0.7060334576694558,0.7774045348409442,1.2406773737696986,1.8097015600174091,1.686296812307007,1.4593100059843624,1.1666019860264376,1.2584947867598986,1.0911741264364316,0.8573059038767477,0.8754029635067698,0.7947912558120761,0.6658548546869424,0.6352866263089738,0.7062937215864697,0.5285725264552898,0.4490121622710474,0.4802351607930799,0.4534965417350542,0.4217724298197931,0.42308086869053174,0.48056418556863584,0.4803388667227137,0.5028645863359906,0.5635101408532074,0.6378796844399677,0.6810688694152375,0.7421302706671888,0.8644861401398315,1.0210800630122292,1.0341574116620171,1.0115197303159582,0.6977087371588536,0.5816829635191338,0.6425794076984993,0.6888703098548616,1.454121794783089,0.9317482631771249,1.1778724839933432,0.7474377782814248,0.6545470532284814,0.6531557085013571,0.640702582852294,0.7337628072865078,0.6130885444346642,0.7188176260731037,0.8898458894636124,0.9377052245834113,0.7220902244345246,0.9013612298518235,1.0616512981383188,0.8999205033422844,1.1059930813385124,0.6446638954080619,0.7007195755905395,0.6352479123382132,0.5552825932554848,0.614793591393439,0.611879468447595,0.6224655016781694,0.5244894043374471,0.5203878845793932,0.5684886437921224,0.5652571363142578,0.48236283393406026,0.5417859784330585,0.6780147322130792,0.5447266883293456,0.5624298186758026,0.7324217268793626,0.9111112781122359,0.6822235990226934,0.6806322382943081,0.6164460806220295,0.5147787449102322,0.48188216600776423,0.4784914423682616,0.5255983694042993,0.48209051913374334,0.4845598610899793,0.5466772850959419,0.5788012351303237,0.5149402435806246,0.6168115309743435,0.8233254025898109,0.6354257306878441,0.7374555480492567,0.7884589790559726,0.9676969588945291,0.8537869870227274,0.7430140025766544,1.0870396163917657,1.1704906062667677,0.9171888601055296,0.744446222522011,0.6291698658940383,0.6521475131317641,0.8733524767228125,0.5712395403103407,0.6761629465183859,0.7787333869215004,0.6323306123537488,0.5591370035733693,0.5628559554760648,0.4854178372891752,0.4364329419182031,0.48422442503206226,0.46924664708470437,0.9378556670031996,0.6567265646995328,0.46222646465811096,0.5920770717163755,0.9284638478443065,0.4166146244363836,0.8176986173775018,0.638940344455989,1.739933410033046,2.275163085707325,2.9919392431757705],[0.507995604975681,0.5084824818933473,0.606141928312905,0.2956801736926481,0.4291574561634744,0.4059482182979381,0.2933547742455156,0.32447539323694063,0.3891412182607366,0.34185333275894286,0.35397330446571756,0.4150684870925585,0.34332937760390386,0.36823922597290715,0.40583412552839426,0.37770886027708045,0.4182537582549845,0.4318399925663374,0.5137760221369428,0.5049920702863033,0.5786575083621714,0.6912062234865981,0.8719571813281815,0.9100349494479457,1.136386356741553,0.7109615305298319,0.5031472596233433,0.4187848599784256,0.40399199438681976,0.3607066499789986,0.4369240325742569,0.34370740241936665,0.38525132568090065,0.39556952477099666,0.3858277104727036,0.43245521026805905,0.43127442686024925,0.48454972553123454,0.5079166773320963,0.6658876135350563,0.6850253563459101,0.5709069959361889,0.6449288928187455,1.0499172749350025,1.2596126693047498,1.5141237366707962,1.955676727775427,1.2788983910951235,1.2826002436558477,1.5573606649860854,1.6563169711649732,1.9259265651566806,2.1261256581843524,1.0860515517689904,1.7772772801761416,1.2633687189010305,0.9455798416362372,1.0881508452974378,1.202172401540663,1.0376684040372828,0.832433645940855,0.7288222974014247,0.510237459644952,0.6349312474057163,0.6201188049418157,0.5390595482917337,0.6644694850280801,0.4764594375747061,0.6866647163717374,0.6423358024510151,0.8262363802260865,1.0805249438731297,0.6944319386280562,0.8464418441050661,0.5738529755413299,0.9457826020689827,0.48266363194110984,0.4569784213908662,0.47124456232249207,0.5473693001926969,0.5441869544728205,2.2048478583673248,1.88132387914081,1.0176960099998014,0.7189729717899931,0.5775622882654378,0.5016504859699317,0.5702844912733975,0.45996163982309984,0.48048296262128326,0.47810667433815707,0.6994833831494851,0.6075155738938119,0.4293279351530231,0.4137683051546611,0.521875495118177,0.5838127208496063,0.4263440014164677,0.3681660269072076,0.4674717361035926,0.37957695863414104,0.4268035682958038,0.385965202530471,0.4229056932937157,0.5397598853951316,0.5005411271268025,0.6276969742557195,0.7515137002788667,0.6640347515947751,0.6999585684968845,0.4874226059503148,0.46412486290935934,0.32740259304358693,0.3662582150105965,0.3415810363197869,0.39047209850827247,0.46578740602816004,0.465244934460257,0.5713544125116994,0.44984042302144445,0.5130343777392364,0.5247373275793976,0.5130203271728838,0.36452628964803013,0.30980831633222516,0.3975534077623088,0.505034938094781,0.5147390027913548,0.5518986638352873,0.666909091856229,0.7142733607056969,0.7164206716765934,0.8343154541861635,0.7382992032437036,0.7808693027110912,0.9052493137034926,0.8755657958574594,0.875831221687808,0.6001155777866052,0.60322150891118,0.6992430873147804,0.8843475874124843,0.5580705919485281,0.5202929099475953,0.5528649060387323,0.45285076578074346,0.4277666021505132,0.3724248297398329,0.3473390312035555,0.32952840899320174,0.39436061691018337,0.3593391418963499,0.48659749667133445,1.000703206577887,0.8205107882054972,0.3633196078577943,0.30858886348830084,0.3290200801213948,0.33442585960970617,0.4354402796224921,0.4871815738174377,0.480356459644797,0.5828153891091168,0.616363143476924,0.8785387537927278,0.8395948761059796,1.2018867795830948,1.7387283687424921,1.5573078860954415,1.3300581149241595,0.9448726108781311,0.7932191423140832,0.7338109630116211,0.6433771149983184,0.5235604624597477,0.4966277092376014,0.4467495772063209,0.51515584238415,0.5204933140527157,0.5459030732093495,1.0481409965103354,0.5915486186150205,0.7042633364491102,0.8171582117306799,0.8088428395900847,0.8674172851385005,0.9454445385235672,1.39460284481384,1.937359756821,1.8648299172442404,1.658262136763261,1.2982721618245003,1.447445670885875,1.268080835547688,1.03852534266867,1.0425829370944752,0.9089697318930772,0.7867420340124328,0.7082547766206997,0.7592242214503198,0.6060286520711266,0.503911796631149,0.5149296314409494,0.5286668799667602,0.48252804225045715,0.4749036051215956,0.5635167941622158,0.545924908048334,0.5182800391504421,0.5883949147178036,0.68299826262437,0.6985677749502888,0.7364750588578299,0.8870509269166517,1.047291291888085,1.1296169701039411,0.9788039459583942,0.7892275050681573,0.6554751002648835,0.7142518364578638,0.779628989765184,1.476437106524125,1.0000941580838936,1.1229470150909737,0.8295796846189244,0.7663292177181349,0.725985218269295,0.7427931975862581,0.817966849300026,0.7593658895128474,0.7368961422089361,0.9522208603666504,0.96722344799408,0.7786167454044889,1.0690306039490918,1.183570095281646,0.9905164936720235,1.2328607617290688,0.7300978798790905,0.8053330946315016,0.7129229336294507,0.6083152775804868,0.6773895012643499,0.624214574239333,0.6905191799505318,0.5881180977641471,0.5655918990189218,0.6238169939453789,0.6301551274064053,0.5135573019272348,0.5315934719571256,0.6602320404056721,0.5519810138913694,0.5486288553205525,0.6689254288563041,0.8743445773599329,0.6767381679425664,0.6761408143821512,0.6285855679967092,0.5388800191565322,0.5286612312715807,0.5371317004477261,0.5809396525000873,0.5386863092073492,0.5619298357012419,0.6377331004844216,0.6645293146832553,0.6148714685933034,0.7191899839890011,0.8708717704962333,0.6798885305742814,0.8129564273933774,0.8757781467329581,1.002307211872417,0.9009933890631017,0.7954932544582424,1.2773834464519174,1.3229386657936995,0.977948729853699,0.867203296300908,0.746267744646519,0.7799887814673321,1.0766820679784475,0.6765759655073859,0.6765979569253795,0.7278586078103918,0.6177304701908045,0.5754045547337209,0.6059920442994904,0.48705264531382336,0.42917227884426457,0.48671826408107216,0.4582606918437678,0.8981075298332499,0.6470378577810826,0.4603295798535291,0.5645233620512579,0.9304912184175567,0.4183640273806377,0.8477641205023699,0.6749897632582279,1.894405026443672,2.4784372593085955,3.237317343965381],[0.48670087247281213,0.5245086566443634,0.5971842309433171,0.36987207209537176,0.5437874703936796,0.41477382462924045,0.36032884076365707,0.37152076192845923,0.4018505805844849,0.3702778812191352,0.3514871530367888,0.4264240243491132,0.40074630389513494,0.38311033482632856,0.43796696970058147,0.41798780703233746,0.483833827795323,0.480377669790321,0.585756379480594,0.5185454315053324,0.6463808630578816,0.8017109789943261,0.8898823595716828,0.9888616090380117,1.0387291029939685,0.7046255862828115,0.4713203163224572,0.45461333053469843,0.4498264520332076,0.4375859164410151,0.49367034616829686,0.4191752334043103,0.4648336493392674,0.4759493516784276,0.44249566152532777,0.45906623936399554,0.45156681667576437,0.5121991894557414,0.5009529610848046,0.6533956217934492,0.6610828144728164,0.5570215178878606,0.6597686480480033,1.077376821099904,1.2864172723148026,1.5790148029281859,2.034663911498498,1.3398805417868251,1.3336778657686388,1.5701354766946107,1.619517564137802,2.076247474799681,2.275551053223853,1.049887488072961,1.5393793998257035,1.0963517843973458,0.8777499671146077,0.9208633464458689,1.016548887621887,0.9470957692257017,0.8435924347246521,0.691259401441549,0.5780495200373392,0.8038775236876569,0.7085691345028651,0.5887348138858296,0.7488584090676059,0.559019495466945,0.7398317792455111,0.7149715836308903,0.8485810108087704,1.1431821382366738,0.7812860225640034,0.9240289427097733,0.6512896622743771,1.0833804336151664,0.5674148262052631,0.5405375021307962,0.5157046533430475,0.5306669644579044,0.45159479557054627,2.220547955848392,1.921604339388997,0.9591817441128893,0.6948620335533611,0.5198675173550145,0.4635876628227398,0.5270154370645587,0.4814417370861701,0.5174867349175892,0.5415752199753202,0.8239955312588414,0.7045331864100527,0.49659189723678726,0.4832761450026332,0.5776020906337865,0.6252811911331533,0.49174658994928744,0.44207345559170397,0.5176907010364217,0.46754005451348035,0.5112270086079042,0.46728753124816214,0.4827069603214754,0.579180526259439,0.5539958809079366,0.6280992179931374,0.7460077788155715,0.687038009034797,0.7907297457330323,0.5777527541859466,0.563124716230225,0.43794728815510453,0.4847586201061605,0.4082404785407658,0.4373406211796821,0.4578633382446787,0.5132739780399662,0.6374291712277788,0.4935355130304013,0.5521193560989502,0.4966415821866896,0.48940485508765125,0.40728391653648366,0.4028014730049421,0.5152743417553629,0.5859062759517509,0.5817811131922113,0.5902058815558432,0.6972934804160623,0.7223183091222211,0.7069739478876611,0.824165013712569,0.7408770844170721,0.781111358691081,0.937601895701703,0.8788197209376483,0.8781672234607912,0.6802609424309005,0.6930852217651177,0.768153012864412,0.9000922676008226,0.5725896980858824,0.5544851578180834,0.5606122514378917,0.4822181564928634,0.4694506147802872,0.4313887059859288,0.4451556449044188,0.396590763954807,0.4902902886869145,0.4447971419704464,0.5712799386699017,1.1465084043807623,0.9319230736761559,0.4647609199815953,0.4203568310549136,0.41810000856112367,0.4364987787130157,0.5157784819790704,0.5597224034196671,0.5081000257209347,0.6173915203652776,0.6431560566774244,0.8816471881729769,0.897615288885139,1.2010301040922244,1.7860480725390662,1.547013646522615,1.266538261109696,0.9196486787696098,0.808721492183176,0.7374279284122021,0.6837536683276308,0.573407030182715,0.5523188792248753,0.48613575052125424,0.5832283559004673,0.5698599588793729,0.5751478510464064,1.0986262477260704,0.6275144092437381,0.7236755465655631,0.8326366778528008,0.8287103201343243,0.9139496274372134,0.9552718506001918,1.3488197039112788,1.875035224375757,1.7849080165301712,1.6461037385128938,1.3638986001409268,1.4314315236728583,1.2464133901330163,1.0198714137308058,1.0204445510927551,0.8864786975092036,0.7656265483672405,0.6960547957485637,0.7786851358417916,0.6098311614583432,0.5164549583499292,0.5427940277917779,0.5319108575020103,0.49599107137654,0.5041486604159015,0.564514078305398,0.5545212874653624,0.5458658369435072,0.5940183837300064,0.6703584706945196,0.7027734316957204,0.7414800139946615,0.854328576941568,1.0311537245662226,1.0639734174961721,1.0199297060996455,0.7508166114985441,0.639283011875409,0.6985129647894128,0.7628834356481312,1.4478660615919576,0.9715326123939694,1.1395214317208435,0.8276123252961517,0.7637429406473811,0.72553566231545,0.7272207709351004,0.8089559807691464,0.7346029084056515,0.7407690087576947,0.9593746826928576,0.9711392423476408,0.7811845254200348,1.0667597820095638,1.1876361857219035,0.9908542857091234,1.2134248947511095,0.7219019504348774,0.7967387684204982,0.7000438508802183,0.606735068330241,0.6735039042378375,0.634570321977551,0.684671616523843,0.5828251142939966,0.558333583765502,0.6451906037935601,0.6460563034357885,0.5519531995747482,0.6003875686312399,0.7374710773316479,0.5976895563207879,0.6013729949496075,0.7545011785667148,0.9129137512830172,0.7019152126073702,0.702464731203463,0.6333133293390869,0.5562841035829813,0.5461485913916041,0.5469335701922737,0.5797539381517314,0.5436126798147455,0.5608179312085371,0.6323310567338568,0.6526541643831584,0.6033653239136099,0.6992355501401742,0.8787969250887985,0.6743443697460086,0.7941674858734956,0.8546105173600571,0.9949452086749732,0.8772462953905366,0.7666585665915152,1.2544511252453971,1.2353419504168832,0.9443634402344885,0.7928378740120516,0.6836472202741811,0.6967193937857457,0.9035736437320786,0.615568907369646,0.6648756083165359,0.7281466779183087,0.6328659220321718,0.5922073822161575,0.6140676578905222,0.5525069536781084,0.48883363430471416,0.5758696692602677,0.5877107557367703,1.1394261085563528,0.7767847852275184,0.5751767069398579,0.7430460290897699,1.0887073757283081,0.5294954385469347,0.8508216692822985,0.754178509799595,2.1996986905120584,2.7612604480009115,3.4835999415705126],[0.4840682828318383,0.5129276120338178,0.5895803774524477,0.34160180498240394,0.5127252830286017,0.46431898975800606,0.46402518747218413,0.4943764879709132,0.5550220618899243,0.5806613330499841,0.5745381225559862,0.5975669579152494,0.6345327125378137,0.6250044674139608,0.6788429387414554,0.6707542836185288,0.7502687762122011,0.7613726862024119,0.869354817553397,0.7781560583907551,0.9077872595319341,1.0287566205485175,1.104524083812822,1.2176207268138382,1.142193843046366,0.8974184413193445,0.6767198388019284,0.6997009206108953,0.6986143346097914,0.684163378066477,0.7525110170072706,0.6678963894765318,0.7167374002145468,0.7325901849594092,0.6939106845758316,0.7123692904057608,0.6607181838615747,0.7306551766186342,0.6879080802930592,0.8109348269991966,0.8004734624453825,0.7390664073253042,0.850520917043834,1.2056252788280035,1.3842954332524466,1.6586698142727834,2.1374531283842835,1.483213009192517,1.438918494570828,1.6488529682084534,1.712662040773717,2.110716448619537,2.366921388265917,1.1077822229373198,1.5087346645470998,1.0854816032372743,0.9872965087075363,0.9416910704051571,0.9803873194767564,1.0950939585396118,1.0348508490888662,0.8852350050206625,0.8348921059830997,1.0762133183710407,0.9688666018413045,0.842859196291994,0.9925145312879357,0.847744324082774,0.9889847598946867,0.9750361733698826,1.0692235746829697,1.3669958070184112,1.0337609214072971,1.1629036912260136,0.9120255995778829,1.2795731889350714,0.851881031769962,0.8293999418519832,0.7865766688824231,0.7701551481559028,0.6412277023569473,2.2587618654017785,1.9067974789445454,1.1133036024303167,0.8030678179536124,0.6613350806381306,0.6675005857150736,0.7043697043426235,0.739454307843647,0.7675004722279288,0.8042948275350064,1.0917498239107681,0.9682253472006911,0.7657597729955284,0.7510048192991793,0.8009284839544508,0.8409129188563447,0.723759443413047,0.6608194987145264,0.6686986229317384,0.6700360966475435,0.6452669278221417,0.6567246774315497,0.6093956218733491,0.6574693878816107,0.6310056788482405,0.6586468058904709,0.7609214197073345,0.6641165724998332,0.776867951214444,0.5884883929310788,0.627893215126617,0.5492994095769611,0.6091488661214777,0.6124599014547913,0.6415693181348678,0.7020834149876314,0.7509039827702997,0.902014220774046,0.7781860033141254,0.8293955729681636,0.7504314773071842,0.7154460676468366,0.6123400441120431,0.547502700026347,0.572592422360395,0.6104272473230599,0.6015300727248529,0.5963528003334962,0.6992025391851746,0.6925213808274145,0.6918752351736506,0.8234471846760117,0.7442656507393048,0.7784851689742126,0.9245468178419723,0.8397477890421327,0.8897452096945668,0.7260533308648639,0.7819904470258159,0.8099126889363591,0.9739213003296531,0.7347531990289509,0.713204153781301,0.726641411045439,0.6829293180196896,0.6623967097630497,0.6165396083152975,0.5943037898863013,0.5609573737607857,0.5929874891158088,0.5691739800888905,0.6590049316902694,1.158605282956232,1.006948655699159,0.6301227502056582,0.6047932580983324,0.5616149400518304,0.6336282690320225,0.6432410619546223,0.6753192171837715,0.6756130136157054,0.7430809490752405,0.7873966859326079,0.9843656349692301,0.9719609454198493,1.2259293309498795,1.8191905452671677,1.5360200545421938,1.1858860493386671,0.9125501510231319,0.8307677541937517,0.7903834775084464,0.763427870664161,0.701475660883157,0.6871416260703943,0.6627778890296926,0.719923465409825,0.7160642847704516,0.7091510847205128,1.1650655815765452,0.7063495059980787,0.7803402826450917,0.9005465318781385,0.8878626938491165,1.0050302682255035,1.0580092175348546,1.391501208625805,1.8922365972225097,1.8294625120319141,1.7234918463813977,1.4380906223452377,1.478085958210695,1.2566314898847022,1.0348388863381182,1.06604658122516,0.8678013106514406,0.7703347941827952,0.6583919916401196,0.7536895544015596,0.5734828622597936,0.4874774807608045,0.5067406167978455,0.4868775235480581,0.46153749373252256,0.4773716967388361,0.5386784764790021,0.5341760016677414,0.5200922923094838,0.5874259578337045,0.6742804423632197,0.7042847642651325,0.7407826029276944,0.8724616637093083,1.0533559434689652,1.0726960997301829,1.0077058279691213,0.7838441445954126,0.644858563284406,0.7052229383611582,0.7898311683142444,1.4016540351195699,0.9754476439202628,1.0916315594211292,0.8219018479279758,0.7502471994026442,0.7013229961914917,0.7280696780373361,0.8009829080142308,0.7462816715365421,0.7198512990631619,0.9352561392394676,0.9234560122428682,0.7563829627895724,1.1036681131285606,1.181960993237268,0.9711352539563034,1.1945536727642025,0.6862748874587983,0.7947123158044911,0.6854974038915981,0.5919246437468967,0.6916191404540863,0.6289684898589853,0.708722253859116,0.5936426250984149,0.583203594650468,0.6670890176320877,0.6725666196180338,0.5272545373807905,0.5698008573435484,0.7142200783203877,0.5770451692673869,0.5752129047959768,0.7232422443247488,0.9001385300031692,0.6881819283126681,0.685474459679391,0.6199972138426663,0.5367027627303926,0.5202270260420818,0.5230338368517233,0.5686328585240975,0.5233011773018021,0.5426538414169118,0.6285205555067852,0.6562229228967753,0.5859902626812562,0.7143812001676518,0.8951348681847177,0.6645222790483387,0.7911258235747928,0.8901379636181107,1.0465347988187812,0.9123325186129575,0.7884593639678071,1.3513538916249808,1.272611213169281,0.9852821361035585,0.837920929697738,0.6965161014340977,0.722107699833386,0.9456532135561708,0.6344480809748578,0.6379782681826422,0.6683982126811236,0.5737292432407488,0.5244045846134212,0.5660917758889645,0.5028452486048528,0.44955005148952243,0.5682702371975681,0.574149328011165,1.1435907242227,0.80673206401988,0.5605926655197763,0.7684391964665884,1.147579552541803,0.5359159287208812,0.8632380097064396,0.8052123445290134,2.275186638050764,2.833457936552834,3.609259387974455],[0.786472953693745,0.7990183413693147,0.8467023458328935,0.7153030063647536,0.8970546905014015,0.9329647715695124,1.0504287955150797,1.1253413197086484,1.1324166754178318,1.2562723710475274,1.2624689013593526,1.2720675914207693,1.3668218474036733,1.3673829959603325,1.4127038083854357,1.4255977925935632,1.4832562028679581,1.4851936029048851,1.5127140598816617,1.450503716995279,1.5218879568180537,1.6229421212244,1.5938349741021625,1.6514345958755967,1.5183379280837257,1.4315477379075348,1.4024058722862354,1.4645152279815863,1.485749018982855,1.4723607101029195,1.4955574524907462,1.4615208710408616,1.4880666171346877,1.50271297260085,1.477432412061703,1.4763809274827782,1.4826044649709207,1.4986721286956635,1.4441985613901585,1.4863371966100316,1.4932292867922339,1.4755666173039341,1.5392081988958033,1.7664184775992449,1.8832256196420885,2.049918002302199,2.4256599674577397,1.869931021103396,1.8171260143064571,1.9062796028100675,1.9865770351958623,2.4213099630833645,2.832178429704348,1.7131595778814894,1.9845052377744694,1.7112244691191354,1.5715309060611644,1.5528179147050623,1.5759657225648604,1.4512768795299675,1.3607879879966522,1.3747317003314952,1.465806494462848,1.597612372926691,1.4820194974186318,1.4536877759475617,1.518721784693465,1.492119316890075,1.5194872928753564,1.5331886839945994,1.52484014086563,1.6856888151343956,1.516969775440289,1.6585277022482097,1.5106462954006228,1.693455987228437,1.5109985352431372,1.4967545295122886,1.4694739653291549,1.484843416697269,1.4194662368112378,2.5771641487283246,2.2564783735635534,1.6373455078973689,1.4807365390510179,1.4670407442384663,1.4313149556848648,1.4733240106527083,1.4765549962623021,1.522417379163163,1.5216438078509633,1.6495091219372826,1.6126717679427682,1.4960270739085855,1.4798874199712897,1.456253139140408,1.446640133159263,1.4292918390372413,1.3664525295628138,1.3047255675460832,1.4000015056888813,1.3568975594709953,1.3789301610162132,1.2648610519293242,1.2490058592727147,1.1512870327910687,1.1123553180018726,1.1856623527065147,1.0642893280546777,1.2503657956206409,1.065102124384069,1.1960097231705606,1.1985729828907432,1.2915904756895915,1.3637760824773555,1.4001113192658015,1.459293381326242,1.458232239658376,1.5009191293896202,1.4639493108186301,1.4677168673490977,1.4456449279280876,1.4484047518028602,1.3484207765988354,1.2323271092858448,1.1649179191075818,1.0607813475623225,1.055531357856434,1.0174829007052726,1.1617717298849668,1.033401519288175,1.039747233796938,1.1681156029552946,1.1887410642401808,1.1918111871254724,1.3731950478945347,1.138032422930791,1.301724752289322,1.2920517462128491,1.369703571432809,1.4557229946278671,1.5117206612073364,1.4367624978266433,1.4455554521739984,1.4413199625113726,1.4633435757657598,1.4251190758758754,1.378793412175592,1.3108825021652428,1.2666840127828498,1.2333907227033145,1.2396678704003907,1.2910561851880125,1.567210889936667,1.4725585552309406,1.3007394425947512,1.316032568992052,1.2779113086632583,1.3508024773968994,1.2991139150378228,1.2963110881637467,1.4226420890880702,1.3909681180751359,1.4189453063500337,1.392173919778647,1.3267421213462558,1.4899935114455616,1.9556594959726685,1.660148282444476,1.4331255885331606,1.2248127665170052,1.2826109227165021,1.3216961657844055,1.3546924326008956,1.3700283272804177,1.358722518125433,1.3953756333705396,1.3822344338894892,1.3995375019146978,1.3549368744211452,1.5845088607960014,1.2790182505166467,1.2676499087187405,1.247055888749688,1.2979099780833299,1.4537575577656485,1.6009095274144363,1.848383172123992,2.277926931837481,2.08261889324426,1.876854684358812,1.8128967175306545,1.662144043748533,1.4833004385939028,1.2730786267570675,1.2321122548500945,1.0959726183359002,0.9730997909878998,0.8552045225944178,1.0233396570738664,0.8257978786048839,0.8385492715758989,0.8491108413537521,0.7216463997758878,0.7374943397373935,0.8077259815908578,0.7606970312790535,0.7211705910797418,0.7969829468704442,0.8213676400886627,0.8177970163150134,0.8434713812125683,0.9244784386279769,0.9818084190425859,1.1203894773362093,1.1383305025575234,1.0845868125032851,0.8244292589478082,0.7453944267160914,0.7781976236601187,0.7969899562970713,1.5171926840730785,0.9814040647132005,1.1971226935142931,0.9046386440095568,0.9159520834198941,0.9795923153303453,0.9692359688516571,0.9123618576827337,0.9017778129207383,0.9150831045949751,0.9943246908557644,0.9695025433855651,0.8756880909154356,1.2046963522647913,1.1592851502366766,0.9970436151541984,1.253296981499701,0.825933895376404,1.0289697742792618,0.9513077535836415,0.8941715916696836,0.976992596130587,0.91568633315396,1.0288432787722688,0.9113235368639742,0.8523265529489351,1.0449325130782918,1.0297215109762858,0.8860192116770707,0.9408962510242468,1.060431167859575,0.8883263082574442,0.871438764213849,0.9828167710826099,1.0778226233801451,0.8838278854986118,0.868757176199492,0.8051133477392879,0.7738926122675027,0.7872870007132755,0.7544940771125594,0.7369544203358223,0.7229277576008288,0.7235826904526714,0.738894462460304,0.7576883702491054,0.717901222854008,0.7641977486313419,0.9232769820989812,0.7293357169817138,0.8035161957710663,0.8654705787249681,0.9842507540637963,0.8833375438852047,0.7874212869192365,1.2835278349248411,1.322891151913358,1.0302596862255324,0.8773994788174312,0.7728802360846977,0.8177886661424554,1.001982379867169,0.698339310538421,0.6945204636010723,0.7310938716402603,0.6847957663771979,0.7489726590372409,0.8340792529835563,0.884947297925519,0.8241211129650455,1.0070825443433162,1.0321412511498789,1.6142871760940773,1.184818373850552,0.9557489973476078,1.1851128731676783,1.4735014909297608,0.956372331266098,1.1230172304832504,1.3014682836222127,2.890577515958783,3.446899534703284,4.219341750140689],[0.5365380992916716,0.591504320987324,0.7006104502655804,0.46081038884985276,0.6280991975164307,0.5318794103204992,0.4950107222124811,0.5036672398471281,0.5214994688522142,0.46875014135252263,0.4292999257439872,0.49194668847285844,0.4761211511441068,0.42367023806206433,0.4652209419070371,0.46052370210364657,0.5170266101901602,0.4837252477831108,0.5434043413104481,0.5047950080173956,0.5981025284271632,0.7642551798678582,0.8402768910077723,0.900918263379808,1.0152662202382536,0.6736250478512489,0.46536886153059287,0.4550393576332028,0.4630208163763374,0.47981819903310524,0.5151544736069761,0.46486376047180866,0.507832885376116,0.5026955354669476,0.47481694301836397,0.4797214006919469,0.4871468390699117,0.5279035296431285,0.5207434629772548,0.6712923922955817,0.676499319171714,0.5565958093031999,0.6466311797097722,1.0763757709208122,1.2840115208408458,1.5900676837544367,1.999254549735009,1.318097901680467,1.3372715915717077,1.551189807495124,1.5900440055207565,2.1500360347699385,2.301177656966584,1.0663283702377653,1.5198916743762623,1.121205491406526,0.8838147965762553,0.9230020712274873,1.0348229372039615,0.9216973151395318,0.80951521539998,0.6865702441655825,0.5670971942275316,0.7422232103219444,0.667839102171493,0.559482571804593,0.7040745730809781,0.5294063947402694,0.6960173313945924,0.6920728738369198,0.8147342999359491,1.0957648948265333,0.7366784126732371,0.8616885043707639,0.6200086836101063,1.0431739118696575,0.5421168972302447,0.5367207072453818,0.5219014575993164,0.5365353124333128,0.4618779971632105,2.2439219030563935,1.9506790036423722,0.9481841618739723,0.6953148630659378,0.5318972020095212,0.4781486351056032,0.5451640770940037,0.4887397441755734,0.5352353566974187,0.5420300510664261,0.8136588391981023,0.709902730575321,0.5253147448922935,0.5182505643162173,0.6080373031452537,0.6613294485584313,0.5481896270639972,0.5150014920323555,0.5846083650194384,0.5408128181781675,0.5922347522188234,0.547227188916698,0.5641650899086353,0.6325821725221005,0.6203934315441927,0.6654153175084995,0.7606338929844584,0.7154347455066344,0.8371606155739794,0.650625839757169,0.6411302010475775,0.5379345830648217,0.5652580650679112,0.47601763998769536,0.47547835061848087,0.4647466205465588,0.49081629947840577,0.5796112358752851,0.4691961180628465,0.5260435541738391,0.5190101648656833,0.49864462033462714,0.4631811953430869,0.48825137935265306,0.5863964831285835,0.6370363883551986,0.6382435618965143,0.6331387142355015,0.7336837835436714,0.7438827141532498,0.7211993501153942,0.8425176294823391,0.7646321441867067,0.8083193973388086,0.9698098939811763,0.8926453081982444,0.8951157748392198,0.7345207697322125,0.737388691063138,0.81823070900012,0.8894207106830938,0.580060044991959,0.5836340884870801,0.5842221168662017,0.5143783106309487,0.5104841332036923,0.4895366110969175,0.5217396300081603,0.4935030508600153,0.5757673476837021,0.5558495385894382,0.655199130843627,1.1350368517753961,0.9647595270512849,0.5701426907525157,0.5221887783555669,0.5171292783386715,0.5211102494446812,0.5899756729421652,0.6085918363990043,0.5480849227266965,0.6561759262251456,0.6758294301663427,0.8823163934324235,0.9100170996137469,1.182295265709445,1.7484024423804334,1.5112297113085669,1.2741919052754054,0.927965614313268,0.8420359292890989,0.7680292274604353,0.7276838721683243,0.6243768282814224,0.6106787960490982,0.5415324202949616,0.632379844989322,0.6139398770898803,0.6233471500401169,1.1384090702761898,0.6761326675182229,0.7521677336048705,0.8454421899521496,0.8446761747671484,0.9252575135283441,0.9704890143360678,1.3468447423122163,1.900242457343173,1.7436851763001469,1.5957346199868967,1.4221636403889946,1.4122141521932707,1.2454859126714228,1.0272486060775607,1.0170134876418284,0.9059655566415905,0.7819303783059858,0.7131732128672098,0.8225197451946322,0.6521273464226846,0.5892930343610665,0.608459516265197,0.5884528742513193,0.5837304980074968,0.602433894442269,0.6400647958246366,0.6222361421925493,0.6304468845496523,0.6751551443078417,0.7238166845941927,0.736164097864751,0.7825276762772925,0.8735205931770347,1.011396597755835,1.1037022826746767,1.009920767840013,0.7647707568664931,0.6852375283730485,0.7197132923535636,0.7522745079906943,1.5112298996532718,0.9822711919776538,1.207722434034646,0.8369692675551887,0.796152366025294,0.7740929652395294,0.7968516629109931,0.8269417994154774,0.7703291743208074,0.7889801384939097,0.9426939653294248,0.9349005345763948,0.7848678908492573,1.0911031171900547,1.1080423722115633,0.9649861653274536,1.1940947388020133,0.7280772173537404,0.840967316640143,0.7431511784599014,0.6777774834320993,0.7536078396035526,0.7205683186452722,0.7657047891057768,0.6699134079329657,0.6706187057501851,0.7895160551981628,0.7649093070172462,0.6521764050579718,0.691060134277692,0.814734173069066,0.6815596304918857,0.6779647555324846,0.8063256196897933,0.9435295529551359,0.74108253280959,0.7292550748799048,0.6697090100593384,0.6187582876902378,0.6235242722038017,0.6269486222106583,0.6313947459779083,0.6094036824676026,0.6183881578219481,0.6642089560355775,0.6855107907522067,0.6425761611979153,0.7046433329459072,0.864837903875667,0.6823330001387378,0.7548919593324449,0.8315816718566977,0.9414884907030218,0.8508015930015341,0.7610690511738165,1.2412004210918992,1.2868336591270535,0.9398971770687293,0.8292703971623009,0.7445433907860701,0.7708986337461715,1.0191569127828886,0.6740537126885044,0.6685537646500328,0.7366801768702842,0.6315082225181745,0.6291563328640144,0.6448648795621833,0.6070170914103213,0.5608086342553988,0.6833571590904794,0.7337039371189151,1.2625249303735544,0.9148562366580772,0.710521880406101,0.9259335671084692,1.2350381028501303,0.6606670290237787,0.9355707898949419,1.0064611008138216,2.5893501506627934,3.191819881209527,3.9730354719590135],[0.49555563412096615,0.5280172857782713,0.652984505492293,0.3880109202996732,0.5193491739182772,0.5196119555224796,0.5001657592457126,0.5395720113249042,0.5973121596933815,0.6054178793457662,0.6015354643106007,0.6194530862664144,0.6319406955469171,0.6170201174077347,0.6655347414157687,0.6555489972553473,0.7187638574898975,0.7077070108599971,0.7814560498189939,0.6980842435457373,0.8046168001901128,0.8930893065112967,1.0211719125834977,1.0620191852291212,1.139765248895491,0.8368192955952808,0.5772531536492319,0.6115108826226697,0.6281352397170211,0.6258347877686425,0.7022504390846155,0.6227748019931412,0.657667986253977,0.6638390291677835,0.6341437691277048,0.6486858225810783,0.5967281576113734,0.6076125730860902,0.573339985951746,0.691672085147682,0.6552194047545169,0.5900839204429867,0.6813993060665052,1.0657598666653625,1.236129893664378,1.5335059117645276,2.016635930047736,1.348304720079621,1.3399579732076838,1.5737726347123628,1.651965534699512,2.06572113629797,2.264803433079603,1.0101181967953201,1.4870136348245877,0.9959660247073368,0.8760343226563337,0.9067478745893108,0.9423625262972387,1.009487817863499,0.9774810952214755,0.8398694474553859,0.748043309292354,0.9377343979233704,0.8571456863783339,0.7601613764927424,0.9205014152225955,0.7729875012139495,0.9134782217246807,0.9335614938258343,1.0471835988676066,1.3583356761632202,0.96389105005738,1.0914218907150421,0.8463270756596676,1.163889118587023,0.7696963438288699,0.7420719058676352,0.7117135690283141,0.6864890021593107,0.5714608718127347,2.1754144940342424,1.7894058647307485,1.0718662567833064,0.7082404214088419,0.5738541090090475,0.547694459983036,0.6163543123388288,0.6646193813236249,0.6880395300185199,0.7336248387936805,0.9810633647956399,0.8913743512957024,0.726531338436841,0.7139834245056205,0.764559045632215,0.841495429413673,0.7083468023146811,0.6491438273528759,0.6544765539515733,0.6450766745108839,0.6296061340849892,0.6245480028243797,0.598670165402011,0.6296477557756105,0.6206699080875028,0.6534883954301384,0.7398144640446846,0.6570335144926142,0.7506496858474997,0.5693496294657643,0.5985835310514972,0.5338105096556967,0.5534396925882541,0.591079143961451,0.6215151791573832,0.6551714048439886,0.6655071961349635,0.7965023891442066,0.7122707626638664,0.7899290834371557,0.7727058067894096,0.7435228691920348,0.5975262766216333,0.5384178932243714,0.518669559155445,0.5922140225410766,0.582495553711391,0.587999008187767,0.6777939953262317,0.6767158105780399,0.6815704249987816,0.8125891266910698,0.7200332507816347,0.7522011904846402,0.8714516052927179,0.7967494795431078,0.860043039422702,0.6634699473929917,0.6788257963364144,0.6073958577636297,0.821409177768759,0.5685430306894702,0.5806126024464866,0.6009565590496525,0.5827803998885135,0.5754653729037923,0.572712830081328,0.5575738567427119,0.5560851517879776,0.575805293235626,0.5807263344035313,0.6403748108551254,1.032062502131141,0.9403096790027292,0.617402197410663,0.5922636562581193,0.5469237263938959,0.6053773140729845,0.6074220579796797,0.6168408390943974,0.5834284369323605,0.6374413303280655,0.68534970487287,0.9182303607457198,0.9003569645679083,1.1947656213410656,1.7971242871595063,1.5327709688983817,1.1607282354314759,0.8772686391382426,0.7621844582765864,0.7117849646862753,0.6878236073833038,0.6231366513043668,0.6268807533240649,0.6054805934014807,0.6663895095432729,0.6371874185676107,0.641883386568715,1.11618548170124,0.6601462581387132,0.7462197250925925,0.8598892366622045,0.8483730110344171,0.9308622273324275,0.9541957537246235,1.3091127071356257,1.8381908860023788,1.7649780034365672,1.6692737097106074,1.4156187840385377,1.445598342189402,1.24801259977026,1.0374326618359175,1.072606605486504,0.8737806635727385,0.7936174004664761,0.6692164792989738,0.7642690020977133,0.6074969985639774,0.533281643878384,0.535910988698546,0.5340698908787458,0.5146329306345383,0.5224156414340946,0.595913105731018,0.5810409253865632,0.5467441079741981,0.6133202019272789,0.7032283019282098,0.7049630447168869,0.7319210054062477,0.8720451201219165,1.0346510541147218,1.1209057394484023,0.9617614349204991,0.8094558031752733,0.6825141525738014,0.7275810478977519,0.7907936013504727,1.4337651890871617,1.0252213328804411,1.072502033353666,0.8299396225584803,0.7787862445925378,0.7450855930237278,0.7916199279027734,0.8055079740995018,0.798209874126291,0.7359916983899885,0.9107382745735636,0.8813937511166843,0.754181035968085,1.1342211858285605,1.1445580932868855,0.9658170147731953,1.1909837472056026,0.6939741933629163,0.8412825290383337,0.7148961733919662,0.6311410796281175,0.7423482900284066,0.6948019290503011,0.766897437257083,0.6457689203023481,0.6454952382329554,0.7365542963688069,0.7247934937130669,0.5598966939663458,0.5880999681388371,0.7159028318704602,0.598933828683484,0.5845249075150006,0.6902006730860146,0.8674149261925818,0.6737299341651943,0.6614683743681187,0.6313214716355428,0.5649765912212829,0.5581135877384655,0.5555117184236776,0.6074746267977447,0.5686077541269697,0.5813245153594152,0.6597989314671538,0.6878716011048422,0.6352144243805418,0.7469449975787842,0.8899432714027838,0.6939571452082929,0.8005074395254346,0.9095034242004094,1.0475739041354974,0.9346523312668085,0.8435633006536597,1.4214983026616255,1.4265131292900486,1.0118860370993954,0.9074266650186448,0.7801680344184745,0.8150938027208768,1.1035369044770598,0.7713063436662957,0.7199702115339675,0.7312017063243853,0.6164599652473329,0.5613471423046776,0.5797456830613753,0.498786024289248,0.4724980595050355,0.5598778432112381,0.5604342758186744,1.063838085292855,0.767486988340839,0.562447639743647,0.7424330541344345,1.1005193583553976,0.5308141352935154,0.8861534515406457,0.8762015807083544,2.3281436803612334,2.9937667159806107,3.8506303561253277],[0.5909501610999532,0.6284570898620961,0.7209188671734661,0.48461627854270256,0.6354183088892414,0.696651484222095,0.754740957800629,0.8250851565357131,0.935223304346681,0.9943323163096999,1.0104550707033888,1.0090882485550254,1.0224290433458187,1.0319826790972817,1.0725424662429919,1.0445411346434736,1.0968489616535373,1.0504818321542793,1.052174901457149,0.9308756871863844,1.0007001578541022,1.0709524859411432,1.1020813582531728,1.1596989572866219,1.1109915866990552,0.9464022133726124,0.7617879533535562,0.893592657284484,0.9450109870880795,0.991976706389448,1.068883225759533,1.0075715228747406,1.0567739569073944,1.0266549768905635,0.9735273785969826,0.9637137920288371,0.8976158827149745,0.8644390139624717,0.7818995080512887,0.8283926684442667,0.7974869572769616,0.7642148395812981,0.8505073562263292,1.1820524242513895,1.3270123097810755,1.6237467925897768,2.0620976029913027,1.4238760572697844,1.4136400603192736,1.5975296818844784,1.6218191238476805,2.1828849191665913,2.4290950290281708,1.0763825305903225,1.3493598315335282,0.9794850241568405,0.9334747564140282,0.8816580539096823,0.9034416948114924,1.066964332281783,1.0934266684087282,0.9947650591556918,0.9969930989313623,1.1781964096727984,1.0425719146401307,0.9739300191655602,1.1458724889832985,1.0671652363176047,1.2038297142551366,1.260043010481129,1.3207559880509638,1.6011049407972149,1.2748666179196808,1.3690832557341392,1.1501972498830841,1.4206700060777175,1.0636903530203463,1.058984053636698,0.9913973956194186,0.9258575753495407,0.8078352045410838,2.172631437721728,1.817692292729932,1.1061723461656074,0.826682133828941,0.7751725419513372,0.7888197798871895,0.8690704162767144,0.952812754018615,1.0117805109595162,1.0760483337569988,1.3013259311057133,1.2525428601758064,1.1126187358844977,1.11320120917848,1.1377377132652626,1.2104520491300763,1.1032099339600996,1.0420463772283064,1.020504843888056,1.0123286898791943,0.9340850073226749,0.9281949075686196,0.865441016427364,0.795169729755307,0.7987882208744691,0.7601562257374815,0.7713525769749183,0.7075554907853321,0.8672491448004193,0.7307947280038719,0.7849430538006512,0.790912614855728,0.8056067351450652,0.9334128170317191,0.9336508597067934,0.9865037343891665,0.9216224260549578,1.038330715047029,1.0555781106802382,1.1461406602387214,1.1393802989760462,1.0762133426952154,0.928195859570882,0.8170256353345309,0.7100853076040827,0.7068589665331013,0.6954732228269164,0.6653205855113125,0.7328623858749088,0.69265207463017,0.6883209182337097,0.8089702637087343,0.7543305399308241,0.7646385185030574,0.8912052471681242,0.7790629064751741,0.8457412862795403,0.7847855528070844,0.836963867249987,0.7469386066615797,0.9258152167101129,0.7180990526221138,0.7869085874282291,0.7892119067055839,0.8582007450290071,0.8570839480431655,0.8942693989438035,0.8408079979986866,0.8659013770189878,0.8446015330486691,0.9022274908785904,0.9382236124988278,1.2938097673132016,1.2379108784103252,0.9681444917924927,0.9505980505407287,0.8583570205418931,0.9248825144500394,0.8371345810097297,0.7981565672187013,0.8159051726148656,0.8082004370919694,0.8261716915924451,0.9661803417481127,0.9307224441411726,1.1830979995792767,1.8064723099183864,1.4763991742728777,1.0814981195728863,0.8524576181732897,0.7855394470025362,0.7750298428739284,0.8046504036743957,0.8043272369352968,0.8355265280483148,0.870579829809794,0.8948531639786168,0.8475078090461192,0.8174583674098383,1.1992027704814943,0.7820072377777602,0.801600691156246,0.8863164818819648,0.8777633827017691,0.994405732071327,1.027962913656758,1.3617541155383446,1.8312248276814778,1.760031079292607,1.705341545368609,1.504934774242368,1.4395463955229064,1.2273927585479152,1.0220893165378193,1.051811684371327,0.8715473465897445,0.7923049888281815,0.670893460771654,0.8124408483341042,0.6298029330174335,0.6142943218526588,0.6103267037660228,0.5428374403857821,0.5589953942005886,0.6129006148242067,0.60620934434867,0.585103437880047,0.6258044278033742,0.6852912318320254,0.7121094247392961,0.7218923040652389,0.802335091997062,0.8838888580227117,1.0132113044189357,1.1061795414970084,0.9706408474837995,0.7599204096792005,0.6462386698711857,0.6886283762239037,0.7333607599486273,1.4443760376443568,0.9913854492350384,1.102840274917484,0.7891942562223235,0.7618129464663613,0.7570153232018977,0.8244205987995872,0.7851426445745934,0.78323959099094,0.7638587556742727,0.8984760368749638,0.8463313702868585,0.7432941795636528,1.1509831345088453,1.112067571658231,0.9426349892368163,1.1644518936573947,0.6846567960985089,0.8890808955736099,0.7572940423521514,0.6870646229390625,0.8324029409230885,0.7933208380855854,0.8793438495381006,0.7616535933434644,0.7572603129084378,0.9088913680703573,0.8709956377714665,0.6935585514832331,0.7448347893429186,0.8746130495161833,0.7276758782599063,0.6966072602698786,0.8348221895569883,0.9758224777572159,0.7459568929667859,0.7250756091802478,0.6576010211324295,0.6045161168821235,0.6209346885126532,0.6127613147487736,0.6016845632216236,0.5755418106609687,0.5922428599480238,0.6189718869645643,0.6431572731199205,0.6011776599537377,0.6996384473474682,0.8398689822846747,0.6439381924060215,0.750640059492811,0.8764102587917098,1.026060631728483,0.9098149530827727,0.800113442413595,1.4133260227373823,1.3922106841485122,0.9694791314936407,0.8543006662921031,0.7393795110054251,0.7805413132355824,1.0603497088931781,0.7087325949475246,0.6745263351036791,0.6890407650382591,0.5703940673598789,0.5589690209694417,0.5945471554566888,0.5720543558500935,0.5699850478542,0.7278281241420721,0.7838410211718742,1.3181862702033063,0.993922544983025,0.7771245928877377,1.0813516414937205,1.3918838225595827,0.7752425616388524,1.0231170060754335,1.260243249379983,2.9044305002469533,3.570300671333641,4.487798386448113],[0.9063796349073808,0.9594404252848934,1.0426011529135313,0.8533066942597113,0.9723017124395686,0.9472737569144906,0.9595635799056743,0.982198164293276,0.9660872438988617,0.9224430709818819,0.845623534349383,0.8868764443010476,0.8782547716447556,0.7937688992420796,0.8105374315078449,0.8279233366193652,0.8553324292176513,0.770454907854726,0.7675421117812727,0.743194295497982,0.7957802259943402,0.9915340821604745,0.9354694410631633,1.0379241883804795,1.0346374736892026,0.7966113345817563,0.7510821766354875,0.7971427165295435,0.7985624549643168,0.8668951490996687,0.8102835289228458,0.8473553986871595,0.8666201583227823,0.838109597283173,0.8175891924271832,0.7964921310212375,0.8461274722676329,0.8656579634024134,0.8523220476926582,0.9661472387142748,0.9725853694180859,0.8519250095987309,0.9300725739460599,1.3224859793159653,1.4817691145535707,1.7621713300055268,2.0856314215780225,1.4713495790288553,1.5298700780647227,1.6713707405432077,1.6953624136127734,2.406899652017854,2.5904158196976557,1.324444300933442,1.5438480887289145,1.3007877714616898,1.0961049477875242,1.0929539374645345,1.1801316959370725,0.9857231373468873,0.8591323559264334,0.7948768179502503,0.8007654384775269,0.9360369569544746,0.8525287929418603,0.7755185568049121,0.8820397866828892,0.7548491328246069,0.8270452538903831,0.8846247070111052,0.9734749973207162,1.2370836308697795,0.9041646836176607,1.009664316457329,0.8079262515635653,1.1352894916270988,0.7899617430564537,0.8089936777041719,0.7915110627838939,0.8165396984957995,0.7459394066920743,2.425183604362209,2.122640762083548,1.1313544842137515,0.929371260667784,0.8287802411584606,0.8012169194743255,0.8621328346368453,0.7978760996924523,0.8362675386091345,0.8420819471087044,0.9952266531167875,0.9432011492524446,0.8119283649715228,0.8330652733862596,0.8791400667672946,0.9411175635502261,0.8999029900646066,0.8998789698623314,0.9577086025042183,0.9314806434654294,0.9916843774564915,0.9399339501070879,0.9644297496624591,0.996575124184896,0.9880096554420723,0.9898413032586378,1.0315308182349083,1.005952408344093,1.1365164518708517,1.013619800641711,1.0222614650669637,0.9776902983472111,0.9759581840513982,0.8942394199638877,0.8901364604805593,0.8202611855940896,0.8155559823261234,0.7727771842860331,0.7429941712490392,0.7410490239738516,0.8272655700173289,0.8474715737097159,0.9133760236351625,0.9419085457188826,0.9582772210972259,0.9344715569594589,0.9594636679243365,0.9524603506168804,1.0111424926072032,0.9844899553474685,0.9614555231996844,1.0360548855713378,1.0122461931327347,1.0238718185319404,1.1691604242973543,1.065668316333314,1.0617860005486175,1.009157893327057,1.0570534545336576,1.1886950638843894,1.1718052517719972,0.9113918863901238,0.9310586383239324,0.9187230071188373,0.8916013570115667,0.8994461065386684,0.9186964419283937,0.9369709758814474,0.9267517960890425,0.9698009027077309,0.9855810781983989,1.0432352671588039,1.3692995317562124,1.2635218851227008,0.9912822748794908,0.9484674958037189,0.9401834757289261,0.9232317420709804,0.9681073657629125,0.9480676328275224,0.8911517065722049,0.9717262434866881,0.9727207837746751,1.0971300179211272,1.1173586232137336,1.3070195645056515,1.811939502649955,1.533007673488662,1.3332068268821526,1.0637512262856994,1.0433576898605494,1.010339001474434,1.0373079144436375,0.9724717477654596,0.9776212717551309,0.9137687277387285,0.967103362902254,0.9529327204366306,0.9732112670225641,1.4052732461816548,0.9939262332932374,1.016314231007489,1.0711929822705064,1.0787095866659568,1.1719353845080926,1.2157101729809208,1.5190442079175535,1.9982843171150362,1.799101219458839,1.6303236995747035,1.6465369519084008,1.4878890222190966,1.3406315023055457,1.1556834681414363,1.132108895327617,1.074845211421552,1.0028125501839447,0.9607823446900124,1.0883539184424331,0.9548196941680572,0.9636745171180267,0.9658057988658344,0.9166399219484972,0.9520634369900917,1.0004686362959911,0.9422962295546948,0.9455425505885098,1.015761255987438,1.0472563441083123,1.0271979551014874,1.0463417611581822,1.120218609024971,1.143682155654398,1.2205430286012244,1.319047963835993,1.249754979503842,0.9959082999025182,0.9607800913422924,1.0026046665029205,0.9646807339208113,1.6725600732325758,1.146043113308303,1.4025192784189395,1.023150189695072,1.0182643932431386,1.0433902360522718,1.104113756796277,1.0331119187187274,1.004869555093546,1.074294033286203,1.13624330536948,1.0641103953292057,0.9928156734058101,1.26443161560695,1.1613423617509404,1.0977067911224947,1.248640782544639,0.953544868116759,1.1022773704718438,1.037120450850114,1.0258996517775938,1.1033231617610322,1.0869227955908056,1.1164051540814721,1.0589659539203284,1.0786263694996976,1.1899943050691917,1.1495527483748997,1.0585699310170504,1.08918907652421,1.1687424012722205,1.0701509319358422,1.0577002071749757,1.1671508514029902,1.222834928349541,1.0760409644775768,1.0615999892032146,1.0069692938948462,0.9865521609005,1.0050499349138347,1.0046720144977963,0.9604328370720415,0.9514365840100867,0.9520886936145115,0.939243425038643,0.9506489190804129,0.9162034257496862,0.9218204225674493,1.0352430431489177,0.8986455598326313,0.9093951116687343,0.9883757372294667,1.0455856196836577,0.9908289475038998,0.9173153187049241,1.3358537519268359,1.4033835255607556,1.0623124748917103,0.9989003397338009,0.9841942752742345,1.0357970181941456,1.2332806568550256,0.8936119674384149,0.8209498690485802,0.8667279140879144,0.841711589985274,0.8905456215151712,0.928237847643417,0.936107487720091,0.9428742461948956,1.0891514216474247,1.1849933226482459,1.655416224561162,1.311071056721385,1.149378122241753,1.4342523924827975,1.641826919394868,1.1166250365197885,1.2748002112809675,1.6067776531602054,3.291777664452769,3.985519480008914,4.907641118915262],[0.5186993833912341,0.526813986809824,0.657228697620673,0.4408419009538229,0.4923936359559375,0.5772498867395821,0.5655735680869883,0.6176883333691126,0.700818136670799,0.6878193096508777,0.6822796631756807,0.6921139741281208,0.6869634322464533,0.6661649706118797,0.6856485287736019,0.6708984572869608,0.7078283422869819,0.6589825888421035,0.6608161296578171,0.6376377438829602,0.6972125021339262,0.7218622806705605,0.9293089407257177,0.9217043650312395,1.1614969860063287,0.7730750660410909,0.51233980686274,0.5262836684123473,0.5833677540693339,0.5864871868549152,0.6755557748886482,0.6000190289917339,0.6237457567717402,0.6146951361031749,0.5985578063149637,0.6043131418673803,0.5479947228879443,0.49707866898209957,0.45457214311612937,0.5171045258910021,0.5033019691889338,0.45818680063534045,0.512333819143517,0.9240114938792617,1.1164768121531607,1.4575818376834666,1.839558052556267,1.180859496696378,1.2165811001812725,1.4268262686672304,1.488406800244104,2.1148977526045347,2.1264738408954824,0.8743618728834103,1.3835952682501846,0.9183109977135058,0.7784678325412094,0.8613523628827233,0.9238399397202912,0.9359895676473604,0.9454364506333934,0.8238646911771793,0.6629090734475737,0.793540868964821,0.7091879035507741,0.6710697388906813,0.8250645960775821,0.6970914771252518,0.7909617224072097,0.8581297410901734,0.9783385547565365,1.2303789253648916,0.8583827704694725,0.9455657457326148,0.7785978095095174,1.0543874731065517,0.6859958591865447,0.6577136674337791,0.6347844571707245,0.6106381162526656,0.5754355407712223,2.014555333288861,1.6406099113527535,0.8334043819103539,0.5701378893851449,0.5009442294329589,0.4469513261615216,0.5705712102017572,0.5895569352973168,0.6210933843265594,0.6816892049362685,0.8992045601812262,0.8271166905276002,0.7075772750534539,0.7003747258768976,0.7414457148349027,0.8642334534396408,0.7139196574116063,0.6637265479426006,0.6832186532552822,0.6395858532971823,0.606289591709052,0.5813815867417349,0.586364107521893,0.49656984129375364,0.5810478242399228,0.5528490630895447,0.5612366228028284,0.49830016978764424,0.6170763246434713,0.46752065576477836,0.4817835691295006,0.5350131301662309,0.5006255575464225,0.633251288727504,0.6639423670456255,0.63981441631685,0.5583241197387131,0.6695462566327416,0.6519629963355356,0.7317143561489181,0.7992716300470057,0.7995563671153326,0.6650390763593593,0.6028183990177622,0.4800737427943655,0.5202400996231644,0.4643252358078759,0.46562008211642725,0.48233824072726905,0.4975552450201728,0.4836208255668692,0.6000386301012995,0.5036653956981395,0.5462071650278008,0.6333219525012207,0.6363285602375506,0.6274485717410284,0.4985376360239191,0.48880370965692826,0.5060969369199587,0.7066972918668158,0.4271291241770907,0.4213045969828032,0.441732548063366,0.4716488188929155,0.49334167610501206,0.5397821734489734,0.5097028077572401,0.6044900582919565,0.5572528785947048,0.6453688002510738,0.6556902488436629,1.0425382194537354,0.9752354344219537,0.6245047363715035,0.5962021827345797,0.5389205536721641,0.5754664776229689,0.5271394035386454,0.4877040114293437,0.466020280275461,0.4668034585147166,0.5127179945096862,0.6943062021080428,0.740683445774634,0.9813720275412641,1.5610860489776412,1.3089026280753702,1.0780159770130173,0.7177385825032954,0.5940665119751152,0.5260597313943928,0.49290918201804595,0.45209261552629576,0.4865268991285389,0.5384837421450485,0.5722583142175545,0.49176161656654316,0.4831304265055982,0.9614822628611029,0.47994780637429346,0.5653673049591186,0.6929399208022194,0.6657394686564083,0.7464474440610692,0.7639731592210344,1.1694997728394325,1.8372266683317018,1.5795661666324416,1.498782418211275,1.4584182466882507,1.2763643481707958,1.0801117156073794,0.842336188414277,0.8399265186241184,0.7133216366281255,0.6383137121194895,0.5571985055743643,0.6825497165927192,0.5183395978079816,0.4888602775374945,0.4813710457369995,0.4757273931166769,0.47844548231503964,0.5234403980444773,0.574025336299857,0.5509963664649814,0.542239724048439,0.632205376089975,0.6923390198008544,0.6777671464031555,0.7369819757810654,0.8517868639038814,0.9773611444769482,1.1339266548574656,0.9484248151930099,0.7757583185416113,0.6480103523742072,0.6899651015280737,0.6962208465921961,1.5370092285170216,0.9695787737675586,1.0928221641761653,0.7330289387688774,0.6637383767180354,0.6669606367385366,0.7393823950343102,0.6750746398049163,0.6904362675587344,0.6891591545283215,0.8293930328958923,0.756040231018524,0.6371535669974704,1.0493464767145015,0.9610630954382248,0.854525631342202,1.0528378177666584,0.5849022239152903,0.754882697426583,0.6328210997655696,0.5962692341326972,0.754121815137181,0.7143522481010346,0.7924535297517484,0.6799354691271771,0.7001536698524051,0.8029723684981129,0.729166460915961,0.5481685934514112,0.5930176050949388,0.7086943414035181,0.5921322206138885,0.5714110269544826,0.6845282044248228,0.8733577322604424,0.6590073440259135,0.638102928098488,0.6057754653907936,0.5319661547267043,0.5210137890833311,0.5471418190988471,0.5538363912250353,0.533147393028077,0.5355905275229929,0.5790074761930251,0.6200776154921428,0.5637859497217411,0.6325779286683613,0.7735077664517549,0.6294697303641307,0.6848930008310729,0.8104208592589329,0.9655063854492134,0.8941102206690518,0.8314775459174666,1.388925737227111,1.4771392427792542,0.9942436300439185,0.8932598860330053,0.7770078138038495,0.8254950479111058,1.1539724684119037,0.793828657255163,0.7333003776522562,0.7361475686519946,0.5736952867006149,0.49841195146918404,0.4673112124797869,0.3899109764330032,0.441061046447839,0.5059653906520782,0.5282123051627987,1.0065433606626226,0.6959160266374407,0.5482413155090105,0.7303733743086486,1.0563577760941272,0.5703185385008628,0.8808880872902671,1.04853294026795,2.4458348518615183,3.2579211846768272,4.243811253458322],[0.6900001930844515,0.741211657953741,0.9103955570624229,0.7036364029920739,0.7756324210089928,0.8953202236923501,0.9831116089742676,1.1034734231312435,1.236080893544168,1.3557876940035019,1.4297277926933387,1.394508753922465,1.4488477268477211,1.4940663865382486,1.5714280945919872,1.540759327502299,1.6330833315922124,1.618180585400162,1.6646893220233536,1.4758176159544025,1.4985328660265627,1.4573291586331227,1.4812341555142365,1.4588457375068835,1.4293842762402382,1.4290997662209335,1.2493845100403476,1.4264752972905923,1.4575913656993196,1.4525113232727518,1.5816068616034207,1.458274238139018,1.5137072394809248,1.514464846063139,1.4379846476622848,1.4471531532606154,1.2963389209943257,1.2482714814488676,1.1042923087452077,0.9340721931361752,0.9304678503343152,1.1244720027737427,1.1082583515825433,1.3023426637295423,1.423269545723225,1.6529292118572556,2.0898511431662485,1.5110006102533062,1.4210941727162243,1.5836432954297375,1.6550970801584384,2.2459316651302226,2.338489256320283,0.9587715346473883,1.1485375502962611,0.9076803349066822,1.041625065108939,1.039598241595609,1.0356664964986861,1.2464534099296223,1.4720152845669008,1.433638010856474,1.4677727541766696,1.6042304165992323,1.4491403492657768,1.4338446843289416,1.6519607180844926,1.6265803183374348,1.7559796059299122,1.8079508943703018,1.879430407053881,2.073213156591931,1.810670868440003,1.864682073413139,1.7046736455078049,1.9004117421337592,1.5880424231622698,1.5647805852790082,1.4664777412005983,1.3458710101106728,1.2180099053720526,2.1712926302480535,1.7157921899706048,1.0849989911243034,0.8812463375659692,1.0473577489156756,1.1496290144878425,1.2457798801467042,1.4222149372365027,1.4909982720218613,1.5889430906476019,1.7698736677772415,1.7018631651647258,1.620035146620526,1.6153002655920519,1.6089531595144693,1.6667227081883298,1.550072057890938,1.446245054943828,1.363904540110773,1.3876321542902013,1.217049692935772,1.2311916971950376,1.0976692129160268,0.8333463193780838,0.9320709193875674,0.8175642840027305,0.7127545941461146,0.6844235497243997,0.7914724965645332,0.7766022333583565,0.8403650504700223,1.0140447458657513,0.9963004356922383,1.330280802027277,1.3792094134015267,1.5641313974224145,1.5797185009550216,1.655632727838475,1.6634958516192586,1.7641126505418647,1.6898050041925188,1.5699709620980706,1.2831141553028536,1.0767935684533498,0.8614878178473043,0.8217189648726001,0.7690162729893403,0.736622880921373,0.6108844911890334,0.6303508917332932,0.5783667199462499,0.5976481845625154,0.5709301948528924,0.5502746958955091,0.5986845510989446,0.7402847927970854,0.6808325400581241,0.6919404326991127,0.8211195817387664,0.5764159917179065,0.8619059872376119,1.049631519448856,1.0938314899437205,1.035645676207034,1.2329051934172393,1.2199497423176453,1.2291804399614208,1.0832625648370477,1.174998081666213,1.0264334827875643,1.171066973932124,1.1589880133725439,1.4410118373788838,1.446067065451178,1.247743826421306,1.2542114113444853,1.1178083562205914,1.235141633377885,0.9908035863605319,0.8926223890524049,1.060692797953367,0.8984894100461303,0.9028779762733232,0.8821039805548424,0.7751947254735329,1.0683817965834974,1.8290163265382577,1.4779314216076,0.9554169669588867,0.7067932024894137,0.5524069647189138,0.6135733754029871,0.7387241232880581,0.8807600750441849,0.9408528301301924,1.1518909179912948,1.117620056184385,1.004020673350841,0.8842478728442896,1.1228014384533371,0.7304572696151095,0.6531152424642397,0.7097362197004844,0.6903242334322581,0.8804657653337246,0.9400380278643159,1.2724711193617169,1.7614876963258534,1.7009942975761028,1.6825443551794923,1.4019829256203267,1.2923674725774361,1.0465448122979488,0.8421671014745661,0.9355626858125593,0.8349762858149637,0.8330356254539197,0.8082608802044666,0.882442285800655,0.7932170913245646,0.7791911645045713,0.7736610131288868,0.8026600014970127,0.7895920522660396,0.8135843721056837,0.8709783055573027,0.8667640196402258,0.8304188180867951,0.9076233702882421,0.9706907933895093,0.9535847359536835,1.0005187354793659,1.078947106919875,1.2080785152631681,1.3229141471426789,1.2063192057928673,1.1591784889411088,1.0020764275234544,1.016207884869572,1.0478103350328225,1.5689255692057518,1.2225666613002468,1.2670189965655239,0.9976037995723038,0.864887500025945,0.8441176337775969,0.9303419335584171,0.9084969277665652,0.9330856886425287,0.896215180482935,1.0470174105274608,1.0294759673560603,0.9059302693586164,1.2578959852345024,1.2300442317789653,1.122288217092857,1.2322555955814753,0.86142287801633,0.9653637120653943,0.856597718966797,0.8265074406720063,1.0045881531587835,0.9645645765746399,1.0639791579350166,0.983448251956541,1.0244982206144522,1.091201135584318,1.0160586864104109,0.8325073135529049,0.882339486596491,0.9686011215219139,0.8788283944462719,0.8484673765953374,0.9404118822993369,1.1225488168652638,0.9065882417233,0.8853246779774353,0.8746340083857641,0.8171017773689192,0.8018588206893041,0.8479862839303474,0.8601644042518138,0.8430581855281478,0.8533206278474402,0.919434288480776,0.9622847325263355,0.923656880971472,1.0167790820338438,1.1893058807644923,1.066214592101437,1.0965667757889968,1.275190853971087,1.4893787708867232,1.3982650395063847,1.2705550356475226,1.823667578437935,1.7803800653220103,1.3828766480907477,1.2849163580612946,1.1312942534117156,1.1198931132063308,1.4385667791965286,1.1891379565272175,1.2169532935939285,1.158071968865418,0.9629161753848402,0.8211323750106219,0.758697777925138,0.691147700473735,0.7409185502514966,0.7871114895303122,0.8048742800902741,1.2175617584538416,0.9785844979236298,0.8306179272644518,1.059110183429878,1.3836841515215217,0.8797672950325646,1.1017795905009171,1.338303357192834,2.693713962597437,3.418772563798101,4.516312079801851],[0.8258226067981067,0.836382544783141,0.8624555235873175,0.7198211170830989,0.7789317296047904,1.0709763898347893,1.2231426731739397,1.4087564220126796,1.5796241144420426,1.7250384904403684,1.8299768718555145,1.8271751210720744,1.8768505856775957,1.8861730809362167,1.9824655585922066,1.9851239909846676,2.0410982468883874,2.0119610788061286,1.9452780367668767,1.8400474566001837,1.7563156845627625,1.6652122178161046,1.6422786534713183,1.5105063010938704,1.6175450288452964,1.7019821758148856,1.6237689389227266,1.7988152845247893,1.8677745083412767,1.9213433322204452,2.0073043153505803,1.9361300207162133,1.9861721735449174,1.9621441400536193,1.9082015352264483,1.8906442272426454,1.7596953209701742,1.675843591512507,1.532286824039278,1.3238994878281722,1.3065450347286365,1.4844603416269004,1.413059052999261,1.5346533438961356,1.5711985562506934,1.7601922764865336,2.1088265253130345,1.6346982971395636,1.5680006452952173,1.6097802578618712,1.6341116102863689,2.5501916473571917,2.484286760363781,1.2362193395398506,1.114630556787252,1.1889871686882194,1.3190759318078276,1.343722405680362,1.367190309786547,1.592422363751351,1.835409256781035,1.805078566358706,1.8404487631950939,1.8570514980048958,1.7233808626226321,1.7811083609486602,1.9271422471588522,1.9719432760902547,2.015305823848575,2.1014709447099182,2.101714687454325,2.223924365321011,2.0369193201301257,2.0655730140767976,2.0392627243538994,2.2105585407803026,1.9282109385719017,1.9414400064789479,1.8567450120516793,1.7762641232758547,1.7257847201818077,2.2019818253799825,1.8975336036941453,1.2829062204910398,1.263443880424098,1.5238870500671846,1.6091015904039052,1.7593847316449844,1.8607295303505222,1.9341725824204024,1.9902793395872695,2.1176012471836847,2.0646477433510277,2.0399650395733087,2.0436726380298724,2.0281244024559566,2.0695744280772805,1.9870828167061634,1.9024132158697284,1.82199823697512,1.8702348508806876,1.6929531228568062,1.7101935613682877,1.5332037211393834,1.2633340650805356,1.2555824243938656,1.0962376696746627,0.9075284176117082,0.8332355975240361,1.0524944399036675,1.0167748829619385,1.1156586551215386,1.2990466664245912,1.2636524425337419,1.663202117348326,1.6071451540405692,1.90572029154765,1.8398964776043116,1.9124818762137192,2.021334467510721,2.0915531723375134,2.0230685125723715,1.7870576402562235,1.5069610193247498,1.3141388041847075,0.9897624603029092,0.9441439900189053,0.9205275177039078,0.8488590128639935,0.84722531565238,0.6784161992734288,0.6902559919038601,0.7496913931680919,0.859858831220812,0.7464579756824369,0.8189147192886682,0.7111991041547913,0.7462827229682852,0.746865690379173,0.9746599536541782,0.7210091678298601,1.0537714083333214,1.3624132251458323,1.4175475131288844,1.4117381948063534,1.6424047416767569,1.5890614664813663,1.6375034911267161,1.4768931763339694,1.5450318321034513,1.4037396128199606,1.5730458904815554,1.6127779270087024,1.8216123192577478,1.8560239796925468,1.6995471797207733,1.704007076310963,1.5672139998222856,1.700736436699667,1.3716565925871318,1.240508354510527,1.48492552862226,1.2567153653161809,1.2929794389719704,1.1710638793601218,0.95445731369631,1.100344845245096,1.776088935010986,1.3675039874398887,0.9257218459174033,0.7361732075515565,0.7573439457996578,0.9422931611321603,1.130136296570109,1.308271209629349,1.3808188516467914,1.613881995911883,1.5982429290015385,1.4651347355275801,1.3461836274393904,1.4360340216526166,1.105553758138061,0.9710353653728593,1.0178562665801754,0.9997841707795737,1.182819988733632,1.2138627596205425,1.4035843312325071,1.825808897235408,1.7026017422944144,1.6860021514865677,1.7149417171254266,1.3959117355389168,1.1617151950552425,0.9459010832792255,0.9349529140481294,0.7780860376434637,0.7701681752298513,0.6462270666719584,0.8612163966702788,0.6746403064717428,0.8205114933667884,0.7825687812164384,0.62899716994297,0.6860122723302023,0.8087093004829032,0.6949866185411235,0.6669841257069318,0.7927540746446836,0.8716245877581842,0.8463814358002462,0.8600810507945991,1.0180624593102556,1.051108333001659,1.1477593317939796,1.2169773595175588,1.0873603526356002,0.9142484578611526,0.7524257384721158,0.7773425648706651,0.7278455001121553,1.4468080504832708,0.9629689492095064,1.167410427276091,0.7658396010790273,0.6956840526200738,0.783670765651845,0.8923475858342743,0.708817082791093,0.7160566895364007,0.8448670090735716,0.9226385182576299,0.7788571215786095,0.6913892477219794,1.1144207262307988,1.0019402350450946,0.8930596159556022,1.0316768440023254,0.6274780555880063,0.9730692845881582,0.8660298253845132,0.8644038640012266,1.1663033597809762,1.1438546778796004,1.2921344960734233,1.1440432078088583,1.1404024329093052,1.3247392918858325,1.2284272074697342,0.9407932122643083,1.0586004358014434,1.179483269259629,0.9999053386885297,0.9224447791703445,1.11457914421286,1.2588733506782683,0.9343955464388268,0.8936660539543226,0.7946733391242906,0.7400995496057359,0.7509863400994553,0.7389640615922402,0.667196590113855,0.6544496365278232,0.6575419115172647,0.6352042068908099,0.6851415753737597,0.6258267099650442,0.6930336694322474,0.8647053270837777,0.7336620842145413,0.7697175176970769,0.9409492149210829,1.1641973916769353,1.0817250796613733,0.9826881028391163,1.606785525900691,1.6410027395644369,1.1668461052125776,1.0653187541647315,0.9064135213091473,0.9653702641885074,1.2885895117153197,0.9436130126170721,0.9386766015092799,0.8513150194011045,0.6553353837924448,0.5992589434259687,0.6249808458704602,0.6771216096271481,0.7594257970415321,0.9957352248917516,1.0550570859462591,1.492606022805706,1.2092527524123378,1.0122339125897597,1.3655429023683867,1.6144639348445813,1.068339660719142,1.2048280989072666,1.7212126261392262,3.130162104566342,3.876566476998749,5.013731164730273],[2.0787196369869085,2.11637300953949,2.1473314573865174,2.0346360141301503,2.06121858808303,2.3212895831492193,2.394316609413943,2.432620045279496,2.5069684954172096,2.4722996536624797,2.402252508817374,2.3958619424159533,2.3463230630557876,2.310022726350399,2.1487932030215573,2.1365879829597416,2.104161156126537,1.802332399861325,1.5390831862339258,1.5816929360644447,1.4731206031486397,1.5724735826175693,1.561980260331749,1.707419954938123,1.6548542234631702,1.513135150490004,1.538442727671756,1.712908287557646,1.8219979215376148,2.0161517922950245,1.8852917949837105,2.041089451063919,2.010229478448989,1.8266539393712953,1.858878768253398,1.7931937195666259,1.8365201767350716,1.6236724609559758,1.586703203027492,1.4599062368580158,1.4812971500954288,1.498141925252798,1.5850350225636394,1.888883540212445,2.098583520179712,2.2714782714599697,2.6307207114002584,2.0467287183820684,1.853164084844529,1.9796863581804975,2.0127167330732,2.3502192987596926,2.807294034950883,1.7309924844363374,1.9654445877851563,1.6424623037425123,1.5565205336514967,1.6492441024855657,1.6246984652133163,1.702982825547718,1.5846622895443754,1.585849292397613,1.5640582083145798,1.5863716639727872,1.4740926670122987,1.536438649016868,1.5354643983610712,1.5839494698091168,1.5287995636099,1.7213294596849664,1.735038442056176,1.8974297590779492,1.6135866008175617,1.5769393276742962,1.6293862263976553,1.8376968273414895,1.5590503227059629,1.6052618033462984,1.6080031653634936,1.6102513098110356,1.7824561772514667,1.7053744806118198,1.4785753752151483,1.4951476733163243,1.623310387321714,1.7379539585532522,1.591574571757886,1.7767753236448518,1.6786123689679633,1.7247756410177988,1.715160144218052,1.7380978090424362,1.782191346741819,1.8960778546571881,2.0041087543997524,2.0268047598330914,2.1748217663566822,2.1372567563190508,2.235843161721069,2.3151511475885234,2.19464912331623,2.2409601937998316,2.110407019000603,2.204618657706292,1.87014801765933,2.1355399560046404,2.0176946002577063,1.7942522171952389,1.8777232934741184,1.9928303277905106,2.110035388782594,2.0570114557896155,2.2883493370073063,2.2079378874874886,2.349227616757089,2.285583325659689,2.07234977172535,1.7976242173960923,1.5169657058556232,1.806851393894599,1.9813822298205948,2.301337086475005,2.4645375468501998,2.4382891755646523,2.397176052745717,2.1756940254775192,2.2624562536360244,2.027093182839954,1.9723612825005947,1.7453353032960839,1.6300744662020246,1.5576295311349528,1.3305943532543947,1.531619222222668,1.4121555903361467,1.5092069313347005,1.5838020477725483,1.6094514357894152,1.6226724071060628,1.5159998780356556,1.2854650976543474,1.5791212721386396,1.4584150782311824,1.5658764593179755,1.5346420103415634,1.8029610638845812,1.9502134007200527,2.1546393150758387,2.1796692405816196,2.3698650321499435,2.3141803863532915,2.440093618078959,2.415399487023376,2.629604729014429,2.564624194092246,2.3177439279639245,2.291422090142848,2.2691994400910565,2.217260997281747,2.0856337889582397,1.9348586111362833,1.8046377122996229,1.5683689222843384,1.5256366310498835,1.3226821001333475,1.2319960160806445,1.2977933469191083,1.7209017889904124,1.3920129856823555,1.2323608583064627,1.2840064562650657,1.380519814456976,1.4428663064967582,1.5221314962781791,1.651453244806886,1.7880924078787568,1.9623948837874299,1.8975456492921077,1.7013933820310545,1.6579284424784948,1.4662813301147553,1.6926822436083913,1.4735420885589667,1.3734673644842768,1.357809327621599,1.3098500877387276,1.3780896844482198,1.645086937298833,2.3297421579743776,1.9885999895398592,2.0787587587711562,2.094802293045562,1.5201884887204697,1.3338974026522252,1.2554752910325366,1.3194167741445686,1.411242521224873,1.5750866544265,1.663491949391945,1.93430250693352,1.8622793731320648,2.0397815846414162,2.0311451968783247,1.8934095179051176,1.976094868293126,2.09706955688877,1.9082006698806582,1.9238330214385861,2.0936787453151293,2.1382793822735744,2.0329721580934876,2.0893844641905472,2.258978350578235,2.1863290253299468,2.160822992379922,2.0175682527649075,2.1093912818052325,1.8183159434126728,1.8701879802297217,1.9040904724691476,1.7898619921989751,2.1721668006848134,1.8299041935502496,2.2351447196596417,1.893908115199048,1.7601576107610901,1.8395924895183282,1.7928210129455762,1.674640901033851,1.6772871710662582,1.8367343379290382,1.753953194650039,1.6105262240876794,1.6099816618348497,1.7511688589982917,1.4546716237243926,1.5356240520813642,1.583850560819602,1.610978329687729,1.815141283806253,1.7858148795348119,1.9638010385909173,2.197646317188084,2.2366616942733533,2.3097064600719346,2.261153598314655,2.324722017338049,2.3684985482706846,2.296293932760212,2.1532109940951254,2.2512945818065058,2.3250778744800438,2.241579243393487,2.178649312323568,2.3328692133587063,2.4608479619304973,2.2149536574576425,2.1878093727205803,2.09141273584246,2.060284999952122,2.0344553613630456,1.9880382270349615,1.942304099643781,1.9323713932663242,1.8939670315475303,1.8032205948854994,1.8198802016224551,1.7548816803733553,1.6821789620129544,1.7054534529630248,1.6845850817331705,1.6079308675738646,1.6748532223976322,1.802013847097146,1.730647576413243,1.6507403343327538,1.897625798501161,1.9423577769186502,1.7936962061735042,1.7722795485241265,1.8804617352042476,2.004452162325893,1.991724847083141,1.7329848920082815,1.5569633491166837,1.624469663315974,1.7029881375569362,1.801842753452792,1.8351975111893462,1.9140510086410472,2.06167856102289,2.15198196480168,2.189723445620582,2.283696313984886,2.263276310398564,2.226357538692447,2.405975370583743,2.4875721400834996,2.342207754258988,2.4391818428259726,2.6565406042912514,3.2083928565151774,3.6936052882722366,4.737412754667296],[2.5613671859324363,2.5444351649872674,2.354204363621208,2.4665822257695114,2.1325943510403,2.4412868016636167,2.3923769020615655,2.3107272695517946,2.501218185877046,2.438970023207821,2.423685003360866,2.3661340983871186,2.301671585941328,2.3472718650598217,2.24393239800321,2.245862908099336,2.261663484998969,2.3132564053393905,2.5358437773208307,2.6271023035645373,2.827084591047478,3.0571293620448214,2.935677466679052,3.187932210994606,2.930126909842419,2.815046364740988,2.6626479827087977,2.4216678602319526,2.343748737395523,2.3105325516273787,2.253699031466317,2.274620648161707,2.285088482978557,2.3199067228227324,2.359337327295012,2.415927917527805,2.2987669250275817,2.5092327065535334,2.527957770427044,2.6404443155664543,2.7412539352370024,2.8816797312763196,3.063341879436428,3.302630291689015,3.366795891220923,3.362923405969958,3.578691552099493,3.3319180577228353,3.0716770390274637,2.953164113887247,3.1567073505469323,3.7407684694237786,4.017339270952833,3.000311496495935,2.846520717023011,3.005968975666147,2.948792729572508,2.8744651540315784,2.8148709066555115,2.93201266039018,2.8501458746698916,2.8271451268345964,2.75661242823027,2.911518422707533,2.907971166872242,2.7912381554503436,2.694271609713748,2.4861593898710486,2.359885211254439,2.1311774190125092,2.052923061062825,2.12224799495507,2.1127851353719156,2.3720519588177136,2.3556832675236685,2.7212850744912807,2.5710309282451105,2.514228338552746,2.5725608633284245,2.727616699473982,2.6098471108015895,3.129844651166893,2.658610553805062,2.4253581687913566,2.445899268314187,2.434286213249792,2.601041499648465,2.5099452476590822,2.5660681158541023,2.4544768738647496,2.3714778720798964,2.4125883094029725,2.2665026559564376,2.2271727268177948,2.2388304444066724,2.241632104161555,2.2519958284174564,2.201353266943964,2.2178066543460595,2.234227245625511,2.239570719624365,2.1686844013341635,2.182119674476778,2.105870914043486,1.952080494642427,1.9630617478597614,1.8312854415419035,1.6438335728965434,1.6302411561305787,1.8254487035248335,1.8705475461843095,1.8322211782107476,2.088350071151905,1.986936465882713,2.1734706460215256,2.05697707964499,2.1660567562170168,2.0856760537480277,2.518572603925309,2.25252712842821,2.21282502441489,2.333754534814791,2.474662092558841,2.3952578733314693,2.403652331480495,2.0053022198548254,2.162188635381492,1.7846142200497659,1.7037498424262287,1.6030541024747016,1.4105795878460732,1.4196856496029935,1.366750421443763,1.6282581241344256,1.433740080332945,1.4401783231815972,1.367561558103342,1.3853379134417958,1.396363755174,1.4943873091515318,1.4882756780504425,2.4653028032252235,2.54698818498128,2.136519671143259,2.367497657503632,2.264877579535872,2.0698960909427058,2.1058691612671936,2.0326155330323643,2.1817784498312944,2.133802650732307,2.287269443386133,2.2542332011696735,2.521593068801253,2.422621895383373,2.2116729886165074,2.1946000713717533,2.1226490532795874,2.1779005786123293,1.9943342457973108,1.9012831899476506,2.15403828290991,2.0104657451963943,2.2798318321521664,2.0685892705083893,1.6924477537627507,1.5642364319115458,1.8220974732600992,1.3936002816802715,1.2324807307704395,1.3029137496263976,1.4531192511322968,1.785550523181393,1.9169408305762277,2.0724953796104337,2.08051406994461,2.2181074335263817,2.25414714065381,2.2525927403151726,2.138051964394633,2.135829236375812,1.8490904822894105,1.8377742744242207,1.8943854240863405,1.8913761798468012,2.2383888687014166,2.4471832283568946,2.6777841243120366,3.0871687958670018,2.6247862401255047,2.5103232336044656,2.6944700859091846,1.954521722873508,1.5941873975050056,1.383851570060344,1.2653108696420454,1.2552366392009047,1.3514749012409044,1.440209422013242,1.6739255969572708,1.6419935964019046,1.8019745647820902,1.8178937886010342,1.784137081955581,1.8565407633888795,2.012006237425898,1.9895551162915799,1.9801845549170505,2.0796376295100827,2.258123365568559,2.247514005629045,2.277694747857809,2.4411859933018243,2.496573596784704,2.4963703745123382,2.3556432027717884,2.3992867747384032,2.139655671215169,2.049828358903131,2.0798115351125475,1.900000130146625,2.3168422703710014,1.8643196753006253,2.035840172245172,1.7319218221706962,1.5832743347697193,1.6054752687997675,1.5361831976323874,1.4587306019464055,1.5259883062808406,1.566584177160269,1.488365380180953,1.414244635106908,1.3884609487436135,1.567750081530871,1.3636360077185548,1.4216517996946856,1.4407920259060985,1.4169817711069363,1.538975594060045,1.5246154706346808,1.6931236464161807,1.8796416985663402,1.9471134194359245,2.008001201372729,1.938700116896113,2.043688702585688,2.065460084494937,2.0348614005660868,1.9762559781005067,2.080096578625898,2.160487269792455,2.1506416422006702,2.0921825444594218,2.2639041653224603,2.468083776368802,2.2669119879884176,2.2072386448697094,2.101935342559877,2.0018271159643457,1.903531347222619,1.835602712342491,1.9110861687231113,1.9152812318545651,1.75556806619989,1.7598257749987245,1.869340272322731,1.7097813463561928,1.6157652143989665,1.7685192198215376,1.7719395574343313,1.573890867599263,1.6405071324839935,1.9039039697891247,1.8598002437856334,1.8788835482526534,2.158117565145972,2.2703846467456286,2.160564629439053,2.221401221289525,2.1507175728388046,2.3057257032339624,2.395562813566476,2.0864172519727613,1.9319405439572326,1.8236021593456875,1.7530268008589267,1.7865890047174031,1.6389049546443555,1.7520604448119084,1.9793007580618256,1.9417576397646534,1.979957073069528,2.174895822485561,2.095620724729813,2.1513795521059027,2.2835181009959737,2.3644432713130246,2.444443088807792,2.5304632631811166,2.7818047604957274,3.2513432920338334,3.92611731325256,4.885387334160841],[4.343009726233697,4.226701043724962,3.842725595679771,3.9955745443338224,3.401604742761009,4.145894573250865,4.072997688960964,3.989712173414889,4.432328777297041,4.262076414469291,4.273531974351347,4.079823276875779,3.6858249725443284,4.061996662088292,3.565313821408536,3.3290632907967375,3.1498025903407894,2.9145181672259395,3.0349646510508617,3.247510242436312,3.653581093462118,4.15314630255124,4.134151117574577,4.68460214385849,4.095640435527012,3.7100236858618447,3.410761953802122,2.930299543172181,2.942122870939697,3.0349945201300006,2.9927675203798905,3.127837753672516,3.1088966644740053,2.961662737267066,3.001432514476519,2.996518753618739,2.986304367199763,3.142826892548259,3.270091372526392,3.643231251765548,3.8380416973228297,3.8900038866232065,4.316641647103108,4.798735553647589,5.115633958897432,5.161783476881306,5.445525505420615,5.056899134663572,4.6267993862377095,4.749545536683626,4.858312106764107,5.2834638865723855,5.687755881480585,4.421901306673268,4.115230282266395,4.322971153246351,4.274587771481445,3.9700320840251297,3.778831711214348,3.984003191805477,3.763667959568049,3.6039405690727677,3.4338516370553154,3.7141961637143996,3.825443085205959,3.538694506212137,3.3134321299836387,2.992385137007001,2.8047879238206197,2.7691824296466336,2.744021131654654,2.7528493924090633,2.650323088841694,2.779928660343359,2.8184199680769555,3.242825822458046,3.1413779274381035,3.059124827309074,3.185382078678976,3.4457371063383415,3.293036721787176,3.855427527684784,3.246076024051516,3.2748375796190548,3.2763393857411844,3.155886751030471,3.3194024205917367,3.1384749953490085,3.16343410419325,3.0470277274658932,2.9148111271708115,2.8840178467398525,2.852671577122285,3.0095911795527837,3.1713566619049165,3.3296181916054337,3.6062374974874056,3.389972557509029,3.579751740452097,3.7008547091725768,3.298187116620415,3.293485740310786,3.029063898810818,3.0517816216716773,2.703579616966713,2.7990684481931956,2.695701468463397,2.4090344532590664,2.5133090278889156,2.782146486699706,2.994026332486116,2.8330633428767884,3.384429422494039,3.0155520406073526,3.3883516362574855,2.979004950060161,2.789768148672853,2.3566100337242846,2.98338624938185,2.8552906076691738,3.1424622194468,3.763168990922646,3.780827873143996,3.819362786267833,3.9851722860361134,3.017005672354688,3.4074439149833435,2.7055311404320967,2.5560865118572975,2.336267071908627,2.079793457897301,2.1155568984358504,2.1033290464464978,2.3476654227949676,2.108411188002992,2.0696186785025605,1.913638305143539,1.8632608937843886,1.8406838124627465,1.9616729175694392,2.163727995258075,3.699547231319089,3.3778642831368306,2.6845654018533978,3.0523132836373708,2.8104274056628826,2.6564479645240753,2.9589571628169025,2.9995107418598095,3.5026340736794306,3.459185585675914,3.9390544448721636,3.7730931939237866,4.3244132288688,4.120560714141249,3.6624313438880254,3.5617004391801013,3.3476033403690613,3.2047718058230314,2.905095967724243,2.584646387928545,2.783639579473637,2.6441811848779424,3.0485063341560203,2.9965844986130237,2.7333784528820053,2.561203109328104,2.847519887772804,2.1566286710210103,1.9349228586480056,1.997760725605533,2.1100060429322127,2.5279762008711377,2.6215975641251053,2.758553734379056,2.7839128162409033,2.936012305982261,2.947700813308619,2.9578207735157216,2.852032001542755,2.919025666764621,2.5530481654164094,2.6205227302998946,2.7477866019812858,2.766747718179275,3.319641697690486,3.5671556504957165,4.044963733007912,4.5645469738264595,4.056288250769178,3.803385019681038,3.744378568979298,2.9841732285967577,2.4852556185944925,2.2212727229473552,2.0537523200498295,1.9154509471545484,2.0110680378019166,2.138241898001779,2.441853338298537,2.4935650286907,2.8181403810227197,2.830425319804218,2.7357559481581055,2.920250643411849,3.230647664892444,3.0997475890447994,3.1147380742561546,3.3976319814472293,3.6505334089403343,3.560581818094279,3.6712325853829473,4.00061350077632,4.009788953204288,3.8862915933355984,3.551989921145865,3.669598073189643,3.1438283807806306,3.106649338415775,3.2105231113861836,2.9159285885167274,3.307839791961254,2.812285428447447,2.9855657588486775,2.6751963986287737,2.4963554193853312,2.5401933258158023,2.415597483495213,2.2903839086126334,2.333003915737595,2.376794656049516,2.2198761494634303,2.0830083911100754,2.0929625422483946,2.1593150005452943,1.8816693781815814,1.9486273576509385,1.9296892188055286,2.1322562533087135,2.2925378836138917,2.3272072895099583,2.6253421465226947,2.8300806180100038,2.9688954946222994,3.0590322316957974,2.976549307050328,3.187135473678834,3.2413195568979,3.227822450179814,3.205777327693189,3.441389602173595,3.6202452143499158,3.5894332259708084,3.498803098380432,3.790873137336398,4.061122288959043,3.7580987809630555,3.6521092939499527,3.438452356216289,3.2486397125001525,3.0887952091646604,2.954252636554163,3.047063278847129,3.0482955391050566,2.7839267230678844,2.7234859980298896,2.8494199618828273,2.5859914292190154,2.393995858166881,2.5322568253536,2.560540941226381,2.239765115505871,2.258303955331686,2.516763368922624,2.495555849521029,2.63231927783831,2.7382121983446845,2.9287267356412765,3.038194781965533,3.1403387973095933,3.1556917873678434,3.5011369800282934,3.377939370958358,2.962989947394478,2.653900708916395,2.4653495227336375,2.5512126140390303,2.6805339549882,2.475694128146817,2.7348017672371876,3.2159374812807435,3.130013288536538,3.2355334581868327,3.376902471641275,3.452527853404487,3.6293546888737853,3.779565199525039,3.852163703757274,4.156862618473143,4.21748670335347,4.45411395533866,4.176569175668049,4.423706555604473,4.8514282974706795]]}]}